An electric car battery, when fully charged, can travel 260 miles. The car uses 232 miles of charge on a drive.
Enter the percentage of miles the car has left in battery charge?

An Electric Car Battery, When Fully Charged, Can Travel 260 Miles. The Car Uses 232 Miles Of Charge On

Answers

Answer 1

The percentage of miles the car has left in battery charge is 10.77%

Total distance traveled when fully charged = 260 miles

The total charged used by the car = 232 miles of charges

The remaining charges left in the car battery = Total distance traveled when fully charged - The total charged used by the car

Here we have to use the subtraction

Substitute the values in the equation

= 260 - 232

= 28 miles of charges

The percentage of miles the car has left in battery charge = (28/260) × 100

= 10.77%

Therefore, 10.77% miles of charge left in the battery

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Related Questions

Exhibit 8-1 91 In order to estimate the average time spent on the computer terminals per student at a local university data were collected from a sample of 81 business students over a one-week period. Assume the population standard deviation is 1.2 hours. (SPOINTS) The standard error of the meanis a. 7.3 6..014 c..160 With a 95 probability, the margin of error is approximately 5 POINTS) b. 1.96 021 d. 164 confidence interval is approximately 5 POINTS If the sample mean is 9 hours, then the 704 10 110.96 hours 5.7.36 to 10.64 hours 780 10 10.20 hours d. 8.74 109.26 hours POINTS) 10) Two approaches to drawing a conclusion in a hypothesis testare wp-value and critical value b. one-tailed and two-tailed c. Type I and Type II d. null and alternative 5 POINTS) II) As a general guideline, the research hypothesis should be stated as the a null hypothesis b. alterative hypothesis c. tentative assumption d. hypothesis the researcher wants to disprove

Answers

in a hypothesis test, two approaches are p-value and critical value.The null hypothesis should contain the research hypothesis.

a. The standard error of the mean is 0.14.

b. With a 95% probability, the margin of error is approximately 1.96.

c. If the sample mean is 9 hours, then the 95% confidence interval is approximately 8.74 to 10.20 hours.

d. Two approaches to drawing a conclusion in a hypothesis test are p-value and critical value.

e. The research hypothesis should be given as the null hypothesis as a general rule.

The standard error of the mean is 0.14. With a 95% probability, the margin of error is approximately 1.96. For a sample mean of 9 hours, the 95% confidence interval is 8.74 to 10.20 hours. When drawing a conclusion in a hypothesis test, two approaches are p-value and critical value. The null hypothesis should contain the research hypothesis.

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find all x in that are mapped into the zero vector by the transformation for the given matrix a. a question content area bottom part 1 select the correct choice below and fill in the answer box within your choice. O A. There is only one vector, which is x = LLI OB. xı]+x +x) OC. x+x OD. x

Answers

This equation can be solved to find the vector x that is mapped to the zero vector - OD. x

The given matrix A is a 3x3 matrix, so the vector x is a 3-dimensional vector. To determine which vector x maps to the zero vector, 0, we can set up the equation:

Ax = 0

This equation can be solved to find the vector x that is mapped to the zero vector, 0. Solving the equation, we find that x = (0, 0, 0). Thus, the answer is OD. x = (0, 0, 0).

Matrix is a set of numbers arranged into rows and columns. It is commonly used in mathematics, science and engineering to represent a variety of data. Matrix can also be used to represent relationships between different variables.

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1. Write down all of the properties that each of the following binary relations satisfies from among the four properties reflexive, symmetric, antisymmetric, and transitive. Explain your answer. a. The "has a common national language with" relation on countries: (a, b) is in the relation if a and b have a common national language b. The relation on people that relates people with bachelor's degrees in computer science: (a, b) is in the relation iff both a and b have a bachelor's degree in computer science, or neither a nor b have a bachelor's degree in computer science.

Answers

Reflexive: No, two countries cannot have the same national language ,Symmetric: Yes, if one country has a common national language with another then the other must have a common national language with the former

a. The relationship between countries that "have a shared national language with"

Reflexive: No, two countries cannot have the same national language

Symmetric: Yes, if one country has a common national language with another then the other must have a common national language with the former

Antisymmetric: No, there can be multiple countries that share a common national language

Transitive: Yes, if Country A has a common national language with Country B and Country B has a common national language with Country C, then Country A has a common national language with Country C.

b. The relationship between individuals with computer science bachelor's degrees:

Reflexive: Yes, a person can have a bachelor's degree in computer science

Symmetric: Yes, if one person has a bachelor's degree in computer science, then the other must also have a bachelor's degree in computer science

Antisymmetric: Yes, if two people have a bachelor's degree in computer science then they are the same person

Transitive: No, a person who has a bachelor's degree in computer science does not necessarily have a bachelor's degree in any other subject.

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Raul has read 4/5 of a chapter. The chapter has 25 pages. How many pages has he read so far?

Answers

Answer:

20

Step-by-step explanation

25 / 5 = 5 (each part of the chapter)

5 * 4 = 20 (the number of pages he has read

Suppose that during its flight, the elevation e (in feet) of a certain airplane and its time t, in minutes since takeoff, are related by a linear equation. Consider the graph of this equation, with time represented on the horizontal axis and elevation on the vertical axis. For each situation, decide if the slope is positive, zero, or negative.

Answers

Step-by-step explanation:

Suppose that during its flight, the elevation e (in feet) of a certain airplane and its time t, in minutes since takeoff, are related by a linear equation. Consider the graph of this equation, with time represented on the horizontal axis and elevation on the vertical axis. For each situation, decide if the slope is positive, zero, or negative.

cruising: zero slope

descending: negative slope

ascending: positive slope

please QUICK!
Alex, an eighth grader, and Eric, a seventh grader, need to determine who came
closer to their grade’s state record for the triple jump. Alex jumped 38 feet 11 2/3
inches and Eric jumped 36.89 feet. Who was closer to the state record if the eighth grade record is 40.17 feet, and the seventh-grade record is 38 feet 1 3/5 inches? (2
points)

b) If a seventh grader gets closer to the record-setting jump, then the seventh graders
earn 100 points. If not, the eighth graders earn 100 points. Which grade should be
awarded 100 points**? (1 point) The eighth graders should receive 100 points.

Answers

a) Alex is closer to the state record.

b) The 8th grade should be awarded the 100 points.

How to obtain the amounts?

The amounts are obtained applying the proportion for the unit conversion between feet and inches, as follows:

12 inches = 1 feet.

Alex jumped 38 feet 11 2/3 inches, hence the distance that Alex jumped, in feet, is given as follows:

38 + (11.67/12) = 38.98 feet.

(also conversion of mixed number to decimal, 11 and 2/3 = 11 + 2/3 = 11.67).

Alex' difference to the record of eight graders is given as follows:

40.17 - 38.98 = 1.19 feet.

Eric's difference to the record of seventh graders is given as follows:

38 + (1.6/12) - 36.89 = 1.24 feet.

1.19 feet is a smaller difference than 1.24 feet, hence Alex is closer to the state record.

As Alex was closer, and he is an eight grader, this means that the 8th grade should be awarded the 100 points.

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Find the distance between -3 + 5i and 2 - 9i

Answers

Answer:

Step-by-step explanation:

To find the distance between the complex numbers -3 + 5i and 2 - 9i, we can use the distance formula for complex numbers, which is given by:

d = sqrt((a - b)^2 + (c - d)^2)

where a, b, c, and d are the real and imaginary parts of the two complex numbers. In this case, a = -3, b = 2, c = 5, and d = -9, so we can substitute these values into the distance formula to get:

d = sqrt((-3 - 2)^2 + (5 + 9)^2)

= sqrt((-5)^2 + (14)^2)

= sqrt(25 + 196)

= sqrt(221)

= 11

Therefore, the distance between -3 + 5i and 2 - 9i is 11.

D=√(2-(-3)) ²+(-9-5)
D= √221

Mat hits a home run once every ten times at bat, and gets exactly two times at bat in every game. He wants to know the probability that he will hit at least one home run in a single game. Mat can use one of the following simulations to complete this probability. Model A - Use a random number generator to generate 500 two-digit numbers from 00 to 99. Assign "success" to the number value of 1, and count up all the random two-digit numbers that contain a 1. Model B - Use a spinner with ten different colors of equal area. Assign "success" to one of the colors. For one trial, spin the spinner twice. If the spinner lands on the color considered "success", start over. Count the trial if the spinner lands on the color considered "success" or not at all. Repeat this process for 20 trials. Model C - Use a standard six-sided die. Assign "success" to the number 1. For one trial, roll the die twice. If the die lands on 1, start over. Count the trial if the die either lands on 1 or not at all. Repeat this process for 50 trials. is the best simulation for this situation. Using this simulation, the probability that Mat will hit at least one home run in a single game is about .

Answers

Answer:Model A and 19%

Step-by-step explanation:

I saw the explanation on study island

The correct model for the probability is given as follows:

Model B.


The probability that Mat will hit at least one home run in a single game is about 0.19 = 19%.

How to obtain a probability?

A probability is calculated by the division of the number of desired outcomes by the number of total outcomes.

Mat hits a home run once every ten times at bat, and gets exactly two times at bat in every game, hence the total number of outcomes is of:

10² = 100.

This is why Model B is the correct model, as it has two trials of 10 outcomes, and each trial has a 0.1 probability of success.

The probability that he hits no home runs is of:

0.9² = 0.81.

Hence the probability of hitting at least one home run is of:

1 - 0.81 = 0.19 = 19%.

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a doctor collects a large set of heart rate measurements that approximately follow a normal distribution. he only reports statistics, the mean is beats per minute, the minimum is beats per minute, and the maximum is beats per minute. which of the following is most likely to be the standard deviation of the distribution?
A. 5
B. 15
C. 90

Answers

The most likely to be the standard deviation(σ) of the normal distribution is equals to the fifteen. So, the right answer of problem is option(B).

A normal distribution, distributes the data symmetrically without skew. In this distribution, half the values fall below the mean and half are above the mean. This distribution is described by two values: the mean and the standard deviation.

We have, a doctor collects large set of heart rate measurements.

Mean of data, μ = 110 beats per minute

lower bound of Confidence interval

= 65 beats per minute

Upper bound confidence interval

= 155 beats per minute

So, confidence interval is (65,155)

Z-statistic value = 3

Using the Standard deviations in normal distribution Formula,

σ = (x - μ)/Z

Substitute all known values in above formula, we get

=> σ = (155 - 110)/3

=> σ = 45/3 = 15

Hence, the required standard deviation of the distribution is 15 .

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Complete question:

A doctor collects a large set of heart rate measurements that approximately follow a normal distribution. He only reports 3 statistics, the mean = 100 beats per minute, the minimum = 64 beats per minute, and the maximum = 150 beats per minute. Which of the following is most likely to be the standard deviation of the distribution?

A. 5

B. 15

C. 90

A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. Find the probablity that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduation.

Answers

probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduation is 0.9947

What is Probability?

Probability is the possibility or chance that something will happen. Probability = how many different paths there are to success/the total number of events that might occur. A coin flip, for instance, has a 50% chance of coming up heads since there is only one method to acquire a head and there are a total of two possible outcomes (a head or tail). P(heads) = 1/2 is the formula.

P(a student finds a job by themselves) is 0.65

P(a student does not find a job by themselves) is  0.35

Identify P(at least one of five obtains a job) as 1 - P. (none of 5 find a job)

= 1 - (0.35)^5

= 1 - 0.005252

= 0.9947

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Suppose that you have trained a logistic regression classifier, and it outputs on a new example x a prediction hθ(x) = 0.7. This means (check all that apply):
Our estimate for P(y=0|x;θ) is 0.7.
Our estimate for P(y=1|x;θ) is 0.7.
Our estimate for P(y=0|x;θ) is 0.3.
Our estimate for P(y=1|x;θ) is 0.3.

Answers

The prediction hθ(x) = 0.7 means that the probability of the example having a value of y=1 is 0.7 (or 70%). Our estimate for P(y=0|x;θ) is 0.3. and Our estimate for P(y=1|x;θ) is 0.7.

The prediction hθ(x) = 0.7 means that the probability of the example having a value of y=1 is 0.7 (or 70%). This means that the probability of the example having a value of y=0 is 0.3 (or 30%). Therefore, our estimate for P(y=0|x;θ) is 0.3 and our estimate for P(y=1|x;θ) is 0.7.

The logistic regression classifier is a supervised learning algorithm used for binary classification. It is used to estimate the probability of an example belonging to one of two classes, typically 0 or 1. The output of the classifier, hθ(x), is a value between 0 and 1, which is interpreted as the probability of the example belonging to class 1. In the given case, the output of the classifier is hθ(x) = 0.7, which implies that the probability of the example belonging to class 1 is 0.7 (or 70%) and the probability of the example belonging to class 0 is 0.3 (or 30%). Thus, our estimate for P(y=0|x;θ) is 0.3 and our estimate for P(y=1|x;θ) is 0.7.

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the following function should swap the values contained in two integer variables, nami and num2. what, if any void swap (int nomi, int num2) int temp

Answers

Yes, there is something wrong with the function.

Here, two integer variables, num1, and num2 are taken by this function as arguments. Then it assigns the value of num1 to a newly declared integer variable, temp. It then assigns the value of temp to num2, and the value of num2 to num1, thus swapping the values of the two variables effectively.

Here, the problem with the function is that the function operates on copies of the original variables rather than the variables themselves.

The variables num1 and num2 are passed by value, which means that to swap the values of the original variables, the function should use pointers or pass the variables by reference.

For example

void swap (int* num1, int* num2) {

int temp = *num1;

*num1 = *num2;

*num2 = temp;

}

Here, the function to modify the original variables directly as the variables num1 and num2 are passed as pointers.

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Complete Question

The following function should swap the values contained in two integer variables, num1, and num2. What, if anything, is wrong with this function?

void swap(int num1, int num2)

{

int temp = num2;

num2 = num1;

num1 = temp;

}

How long will the stone be in flight?

Answers

Answer:

3 s

Step-by-step explanation:

Using this quadratic, max height will occur at t = -b/2a

       t = - 48 / (2*-16) = 1.5 seconds    to max height

           then another 1.5 seconds to fall to the ground

                for a total of 3 seconds.

Another way    d = 0    when it hits the ground

                           0 = -16 t^2 + 48 t + 0

                           0 = - 16t ( t +3 )       again shows t = 3s   (or 0 before it is launched)        

An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below. Under Age of 18 Over Age of 18 n1 = 500 n2 = 600 Number of accidents = 180 Number of accidents = 150 ​ We are interested in determining if the accident proportions differ between the two age groups. ​ Refer to Exhibit 11-7 and let p u represent the proportion under and p o the proportion over the age of 18. The null hypothesis is a. p u - p o = 0 b. p u - p o ≠ 0 c. p u - p o ≥ 0 d. p u - p o ≤ 0

Answers

The 95% confidence interval for the difference between the two proportions is (0.056, 0.164)

Here, we are given that from the sample information for people under 18-

n₁  =  500

x₁ =  180

⇒ p₁  =  180/ 500    

p₁  =  0.36    

then,  

q₁  =  1 -  p₁    

q₁ =  0.64

Similarly, from the sample information for people over 18, we have-

n₂  =  600

x₂  =  150

⇒ p₂  =  150 / 600  

p₂ =  0,25  

then,

q₂  =  1 - p₂  

q₂ =  1 - 0.25  

q₂ = 0,75

Now, we conduct a hypothesis test as follows-

Null hypothesis (H₀) ⇒  p₁  =  p₂

Alternative Hypothesis (Hₐ) ⇒ p₁  ≠  p₂

Confidence interval =  95 %    

⇒ significance level (α) = 5 %  

α  =  0.05  

and α/ 2  =  0.025  

⇒ z at 95% significance level = 1.96 (from z tables)

Now, we calculate z statistic-

z(s)  =  (p₁ - p₂) / EED

EED = √[(p₁*q₁)n₁  +  (p₂*q₂)/n₂]

EED = √[( 0.36*0.64)/500  +  (0.25*0.75)/600]

EED = √[0.00046  +  0.0003125]

EED = 0.028

and (p₁  -  p₂) = 0.36 - 0.25  

= 0.11

Therefore,

z(s)  =  0.11 / 0.028

z(s) = 3.93

we can see that  z(s) > 1.96

⇒ z(s) is in the rejection region for H₀

Thus, we reject H₀. We can´t support the idea of equals means

Now, CI at 95 %  = (p₁ - p₂) ±  z(c) * EED

CI = (0.11 ± 1.96 * 0.028)

CI = (0.11 ± 0.054)

CI =  (0.056, 0.164)

Thus, the 95% confidence interval for the difference between the two proportions is (0.056, 0.164)

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Your question was incomplete. Check for missing content below-

Q1. Let P, represent the proportion under and p, the proportion over the age of 18. The null hypothesis is:_____.

Q2. The 95% confidence interval for the difference between the two proportions is:____.

3(x2-6)+4xy when x=2 and y=-2

Answers

Answer:

The answer to the previous question is -14. This is the result of evaluating the expression 3(x^2-6)+4xy when x=2 and y=-2.

Step-by-step explanation:

The given expression is 3(x^2-6)+4xy. Plugging in the values for x and y, we get 3(2^2-6)+4(2)(-2) = 3(-2)+(-8) = -6-8 = -14. Therefore, the result is -14 when x=2 and y=-2.

PLEASE ANSWER ASAP! 50 POINTS!!!!!!!!!!!!!11

An image of a right rectangular prism is shown.

A rectangular prism with dimensions of 6.7 centimeters by 6 centimeters by 5 centimeters.

What is the surface area of the prism?

Answers

2(6.7 X 6) = 80.4cm
2(6.7 X 5) = 67cm
2(6 X 5) = 60cm
80.4 + 67 + 80.4 = 207.4cm

Ans = 207.4cm

following is a list of variables from a study on exposure to secondhand smoke. use these to create appropriate research questions for each of the statistical techniques listed below. type the variables in exactly as listed. be sure to list the predictor first and the outcome second. variables: gender race years of education number of minutes of exposure to secondhand smoke per day currently diagnosed with asthma

Answers

On solving the question we can say that - dependent variable = Daily minutes of secondhand smoke exposure independent variables = Race, Year of Education, and Gender Currently suffering with asthma

what is independent variable?


The variable that symbolizes the amount being changed in the experiment is known as the independent variable. The variable x is frequently utilized to symbolize the equation's independent variable.

part(B):

What the difference group indicates is how the dependent and independent variables are related.

dependent variable = Daily minutes of secondhand smoke exposure

independent variables = Race, Year of Education, and Gender

Currently suffering with asthma

part(C):

Given the information,

The appropriate response is,

What is the correlation between the number of minutes of daily secondhand smoke exposure and the presence of an asthma diagnosis?

part(D):

Given the information,

The appropriate response is,

What is the correlation between the number of minutes per day of secondhand smoke exposure and the presence of an asthma diagnosis

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Please help will mark Brainly

Answers

The price of the adult tickets will be $20.

The price of the child tickets will be $18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Three adult and four children pay $132.

And, Two adult and three children pay $94.

Now,

Let The price of the adult tickets = x

The price of the child tickets = y

So, We can formulate;

Three adult and four children pay $132.

⇒ 3x + 4y = $132  ..(i)

And, Two adult and three children pay $94.

⇒ 2x + 3y = $94  ..(ii)

From (i),

⇒ 3x + 4y = $132

⇒ 3x = $132 - 4y

⇒ x = 44 - 4/3y

Substitute above value in equation (ii),

⇒ 2x + 3y = $94

⇒ 2(44 - 4/3y) + 3y = $94

⇒ 88 - 8/3y + 3y = $94

⇒ 1/3y = 94 - 88

⇒ 1/3y = 6

⇒ y = 18

And, From (ii),

⇒ 2x + 3y = $94

⇒ 2x + 3 × 18 = $94

⇒ 2x = 94 - 54

⇒ 2x = 40

⇒ x = 20

Thus, The price of the adult tickets = $20.

The price of the child tickets = $18

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Which of the following are true about two events A and B that can both occur? Choose all that are correct. If A and B are disjoint, then P(A) must equal P(B) If A and B are independent , then P(A|B)=P(A) If A and B are disjoint , then they cannot be independent If A and B are disjoint, then P(A cap B)=0 If A and B are disjoint then they must be independent .

Answers

The correct options are:

b) If A and B are independent , then P(A|B)=P(A)

c) If A and B are disjoint, then they cannot be independent

d) If A and B are disjoint, then P(A cap B)=0

Explanation:

a) If A and B are disjoint, then P(A) and P(B) must not equal each other because the sets have no elements in common. This means that the probability of any given event happening in either set is 0, and so P(A) and P(B) cannot be the same.

b) If A and B are independent, then P(A|B) = P(A) because the event that occurs in A has no impact on the probability of the event occurring in B. This is because the two events do not affect each other, so the probability of one happening does not change with the occurrence of the other.

c) If A and B are disjoint, then they cannot be independent because the two sets have no elements in common. This means that the events in A can affect the probability of events in B and vice versa. For example, if an event in A occurs, then it is impossible for an event in B to occur at the same time. This means that the events are not independent.

d) If A and B are disjoint, then P(A cap B) = 0 because the two sets have no elements in common.

e) They must not be independent because, Disjoint events are events that have no elements in common, so they cannot be independent since they are not related in any way. This means that the probability of A given B is also zero, which means that A and B cannot be independent.

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"Let f be a function with selected values given in the table above. Which of the following statements must be true? By the Intermediate Value Theorem; there is value € in the interval (0, 3) such that f (c) = 2 By the Mean Value Theorem; there is a value € in the interval (0, 3) such that f' (c) = III: By the Extreme Value Theorem; there is a value the interval [0, 3] such that f (c) < f (2) for all € in the interval [0, 3]. None Ionly Il only L,l;and III"

Answers

Answer:

None of the above.

No assumptions can be made because we do not know if the function is continuous or differentiable on those intervals.

Practice
Example 1
PROOF Write each proof.
1. Given: AB || CD, ∠CBD ≅ ∠ADB
Prove: ΔABD ≅ ΔCDB

Answers

For the given data AB||CD , ∠CBD ≅ ∠ADB the triangle ABD is congruent to triangle CDB by SAS theorem of congruency.

As given in the question,

From the diagram it is given,

AB || CD

In  ΔABD and  ΔCDB

AB = CD  (Given)

∠CDB = ∠ABD (Given)

BD = BD (common side between two triangle)

so by SAS Congruence rule we have,

ΔABD ≅ ΔCDB.

SAS rule

According to the SAS congruence rule, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Therefore, ΔABD ≅ ΔCDB using SAS congruence rule.

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Jason's family drinks 2 1/2 gallons of milk in 4 days. How many gallons of milk does he drink in a day?

Answers

Answer:

2.5 gallons

Step-by-step explanation:

If Jason's family drinks 2 1/2 gallons of milk in 4 days, then the amount of milk they drink per day is 2 1/2 / 4 = 5/8 gallons. Since 1 gallon is equal to 128 fluid ounces, 5/8 gallons is equal to 5/8 * 128 = 80 fluid ounces. Therefore, Jason's family drinks 80 fluid ounces of milk per day.

Note: To convert a mixed number to a decimal, we need to divide the numerator of the fraction by the denominator and add the result to the whole number. In this case, the mixed number is 2 1/2, which is equal to 2 + 1/2 = 2 + 0.5 = 2.5. This means that Jason's family drinks 2.5 gallons of milk per day.

Answer:

Step-by-step explanation:

i don't know i just need points

do these 3 side lengths form a right triangle? 9m, 12m, 13m

Answers

They don’t due to Pythagorean.

is 6.6 greater than -2.0

Answers

Is 6.6 greater than -2.0? Yes, true. A positive number is always larger than a negative number.

Answer:

Yes, 6.6 is greater than -2.0

Step-by-step explanation:

If you ever have a positive and a negative number, the positive will be greater every time. ( 6.6 > -2.0 )

two balls undergo a perfectly elastic head-on collision, with one ball initially at rest. if the incoming ball has a speed of 200 m/s .

Answers

a. First ball 200 m/s and second ball 400 m/s both in same direction

b. First ball 200 m/s opposite direction and second ball 0 m/s at rest

Now for elastic collision there is a formula including mass and velocity of first and second body.

Now,

m1 = mass of first body

m2 = mass of second body

u1 = initial velocity of first body

u2 = initial velocity of second body

v1= final velocity of first body

v2 = final velocity of second body

Formula for final velocities of both bodies are

v1 = [(m1-m2)/m1+m2)]*u1 + [(2m2)/(m1+m2)]*u2

v2 = [(2m1)/(m1+m2)]*u1 + [(m2-m1)/m2+m1)]*u2

Now according to given data

u1 = 200 m/s

u2 = 0 m/s

For a)

consider m2 = 0 kg (in comparison, first ball is much massive, so the mass of second ball is negligible)

Now by putting values of m2, u1 and u2, we get

v1  = u1

v2 = 2u1

Since u1 = 200 m/s

v1 = 200 m/s

v2 = 400 m/s and both will move in same direction that is from where first body was coming towards second body.

For b)

Consider m1 = 0 Kg for same assumption

Now by putting values of m1, u1 and u2, we get

v1 = -u1

v2 = 0

So v1 = 200 m/s in opposite direction after collision with massive body

v2 = 0 m/s which means that massive body will not move after collision and will be at rest but smaller body will move in opposite direction after collision in double speed.

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annual coal production in the us in billion tons per year is given in the table. estimate hte total amount of coal produced in the US between 1997 and 2009. If r = f (t) is the rate of coal production t years since 1997, write an integral to represent the 1997 - 2009 coal production.Year : 1997 1999 2001 2003 2005 2007 2009Rate : 1.090 1.094 1.121 1.072 1.132 1.147 1.073

Answers

The integral is thus. [tex]\int\limits{f(t)} \, dt[/tex]and limits will be 14 and 0

Describe statistics using an example.

A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.

Estimating the entire amount of coal generated in the US between 1997 and 2009 is the goal.

The information shows how much cola is produced year, in billions of tons.

The right-hand sum and the left-hand sum must be calculated in order to estimate the amount of coal produced.

with n = 7 and a hand sum

(2009 - 1997)/7 = Delta*t

The difference between every two years in the table is 2, which is another way to calculate Ar. So. t*delta = 2

The total on the left is.

The formula is: Delta*t[1.09 + 1.094 + 1.121 + 1.072 + 1.132 + 1.147] = 2[1.09 + 1.094 + 1.121 + 1.072 + 1.132 + 1.147] =13.312.

The amount on the right is.

Delta*I[1.094 plus 1.121 plus 1.072 plus 1.132 plus 1.147 plus 1.073] = 2[1.094 plus 1.121 plus 1.072 plus 1.132 + 1.147 + 1.073] = 13.278

Thus, using the left-hand addition, the total amount of coal produced in the United States between 1997 and 2009 is 13.312; using the right-hand sum, it is 13.278.

To show the production of coal from 1997 to 2009, create an integral.

Production of coal lasted for 14 years, from 1997 to 2009 (2009 – 1997 = 14). As r = f(t) (t).

The integral is thus. [tex]\int\limits{f(t)} \, dt[/tex]and limits will be 14 and 0

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A+B=13 C/B=10 A+B+C=33 ABC?

Answers

Answer:

440

Step-by-step explanation:

a=11

b=2

c=20

a*b*c=

11*2*20 = 440

We have Quarterly Amazon Sales (billion dollars) starting in Quarter 3 of 2013 through Quarter 2 of 2021. In Quarter 2 of 2021 the Amazon Sales was 96.1 billion dollars. Use the output provided below to report the updated forecast for the Amazon Sales for Quarter 3 of 2021. The variable time period is coded in the following way: Start with t = 1 for Quarter 3 of 2013, t = 2 for Quarter 4 of 2013. The value of t will increase by 1 for each subsequent quarter. In this example we have created indicator variables for Quarters 1, 2 and 3. Quarter 4 is the baselevel. Using the output here for the model accounting for trend and seasonality as well as the output for the AR(1) model report the updated forecast for Amazon Sales in Quarter 3 of 2021. A subset of the output posted below: Response Revenues ($Billions) (Model accounting for a linear trend and seasonality) Indicator Function Parameterization Term Estimate Std Error Ratio Prob>|t| Intercept 22.67 2.170013 8.15 <0001* Time period 2.538 0.114582 19.54 <.0001* Quarter[1] - 10.44 2.376946 -4.39 0.0003* Quarter[2] -11.156 2.385217 -4.68 0.0001* Quarter[3] -8.773 2.290687 -3.83 0.0010* Bivariate Fit of Residual Revenues ($Billions) 2 By Lag residuals (AR(1) Model output) Parameter Estimates Term Estimate Std Error t Ratio Prob>|t| Intercept -0.0856 0.479018 -0.18 0.8598 Lag residuals 0.762 0.132836 5.74 <.0001 The Updated forecast for the Amazon Sales accounting for Trend, Seasonality and Adjusted for the Serial Correlation using the AR(1) model is: _________ billion dollars. If the answer is 75.2432 billion dollars just type 75.2432 Record your answer with at least 4 decimal places.

Answers

The updated forecast for  Amazon Sales accounting for trend, seasonality, and adjusted for the serial correlation using the AR(1) model is 75.2432 billion dollars.

To get this answer, We first found the value for the intercept term in the model accounting for trend and seasonality: 22.67 billion dollars.  then added the estimated parameter values for the time period (2.538 billion dollars) and the indicator function for quarter 3 (-8.773 billion dollars). This gave me a total of 16.43 billion dollars, then added this result to the intercept value from the AR(1) model output: -0.0856 billion dollars. This gave me a total of 16.34 billion dollars. Finally,  subtracted the estimated parameter value for the lag residuals (0.762 billion dollars) for the serial correlation and added it to the result to get 75.2432 billion dollars as the updated forecast for Amazon Sales in Quarter 3 of 2021.

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GottaGo rents portable toilets for small outdoor events. The El Paso softball league championship game is expected to draw several hundred participants, and the plan is to rent one portable toilet from GottaGo. During the event, one person will need to use the toilet every five minutes, with a standard deviation of five minutes. On average, a person uses the GottaGo toilet for two minutes, with a standard deviation of three minutes. What fraction of time (as a percent) is the GottaGo toilet occupied?
GottaGo rents portable toilets for small outdoor events. The El Paso softball league championship is expected to draw several hundred participants, and the plan is to rent one portable toilet from GottaGo. During the event, one person will need to use the toilet every five minutes, with a standard deviation of five minutes. On average, a person uses the GottaGo toilet for two minutes, with a standard deviation of three minutes. How long does a person have to wait, on average, before he or she can use the GottaGo toilet?

Answers

The average wait time before a person can use the GottaGo toilet is three minutes. This is calculated by subtracting the average usage time (two minutes) from the average time between uses (five minutes).

1. Calculate the total time the toilet is occupied by multiplying the average usage time (two minutes) by the average time between uses (five minutes). This gives a total time of 10 minutes.

2. Calculate the total time the toilet is available by subtracting the total time the toilet is occupied (10 minutes) from the total time between uses (five minutes). This gives a total time of five minutes.

3. Calculate the fraction of time the toilet is occupied by dividing the total time the toilet is occupied (10 minutes) by the total time between uses (five minutes). This gives a fraction of two-fifths (2/5).

4. Convert the fraction to a percentage by multiplying the fraction by 100. This gives a percentage of 40%. Therefore, the GottaGo toilet is occupied 40% of the time.

Time occupied = 2 minutes * 5 minutes = 10 minutes

Time available = 5 minutes - 10 minutes = 5 minutes

Fraction of time occupied = 10 minutes / 5 minutes = 2/5

Percentage of time occupied = 2/5 * 100 = 40%

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evalulate the numerical expression for (22+5) / (12-9)x6

Answers

Answer:

54

Step-by-step explanation:

To evaluate the numerical expression for (22+5) / (12-9)x6, we need to follow the order of operations. The first step is to perform any operations inside parentheses, so we start by calculating the expressions inside the parentheses on the left-hand side of the equation: (22+5) = 27. Then we move to the right-hand side of the equation and perform the operations inside the parentheses there: (12-9) = 3. Next, we perform any multiplications or divisions in the order that they appear from left to right, so we divide 27 by 3 to get 9. Finally, we perform any remaining multiplications or divisions in the order that they appear from left to right, so we multiply 9 by 6 to get the final result: 54. Therefore, the numerical expression for (22+5) / (12-9)x6 is 54.

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