TRUE, There were three rounds of QE: $600 billion in QE1 in early 2009, QE2 in November 2010 that was $600 billion worth of securities purchases, and QE3 that started in September 2012
Exports = $300 billion
Imports = $500 billion
Trade surplus/(deficit) = $300 billion - $500 billion
= ($200 billion)
Considering all the options,
Purchases = $800 billion
Sales = $600 billion
Trade surplus/(deficit) = $600 billion - $800 billion
= ($200 billion)
Hence the right answer is c. The U.S has a trade deficit. The U.S. purchases $800 billion worth of foreign assets and foreign countries purchase $600 billion worth of U.S. assets.
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A+B=13 C/B=10 A+B+C=33 ABC?
Answer:
440
Step-by-step explanation:
a=11
b=2
c=20
a*b*c=
11*2*20 = 440
Raul has read 4/5 of a chapter. The chapter has 25 pages. How many pages has he read so far?
Answer:
20
Step-by-step explanation
25 / 5 = 5 (each part of the chapter)
5 * 4 = 20 (the number of pages he has read
The following graphs show the sampling distributions for two different point estimators, R and W, of the same population parameter.
Which of the following statements is true?
Pilihan jawaban
Both R and W are unbiased.
R is biased, and W is unbiased
Both R and W are biased.
R is unbiased, and W is biased.
The assessment of bias is not possible, because the sampling distributions display too much variability.
The correct statement regarding bias in either distribution is given as follows:
R is biased, and W is unbiased.
How to identify bias in each distribution?We use the graphs showing the sampling distributions for the two different point estimates to identify bias.
Then the criteria to determine that there will be bias is given as follows:
Point estimate at the center: no bias.Point estimate not at the center: bias.From the graphs given at the end of the answer, we have that:
The point estimate of estimator R is not at the center.The point estimate of estimator W is at the center.As the point estimate of estimator R is not at the center, it contains bias, and thus the fourth statement is correct.
Missing InformationThe graphs are given by the image shown at the end of the answer.
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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
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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How long will the stone be in flight?
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)
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
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;
}
what function for 3x-5
Answer: 3
Step-by-step explanation:
Consider function h h(x)= 2x-6/x+3 true or false?
Answer: false
Step-by-step explanation:
Im going to assume you are asking if 2x-6 is divisible by x+3
In this case, it is false.
x+3 * 2 = 2x+6
2x+6[tex]\neq[/tex]2x-6
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
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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do these 3 side lengths form a right triangle? 9m, 12m, 13m
"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"
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.
for which value of x does each expression make sense: square root of (x-2) / square root of (x-3)
Answer:
The expression makes sense when x > 3.------------------------------------
Given expression:[tex]\cfrac{\sqrt{x-2} }{\sqrt{x-3} }[/tex]The restrictions are:x - 2 ≥ 0, expression under square root can't be negative. x - 3 ≥ 0, same as above,x - 3 ≠ 0, denominator can't be zero.Solve each and combine:
x ≥ 2,x ≥ 3,x ≠ 3.The common interval is x > 3.
You have a combination lock with 3 secret digits. Find the 3 correct digits using the following clues
Answer:
987
Step-by-step explanation:
Clue 4: There is no 2, 4, 5.
Clues 1 & 2: There is no 1.
7 must be on the right.
_ _ 7
Clue 5: 9 is in the first or second place
9 _ 7 or _ 9 7
937 or 987 or 397 or 897
Try all 4 possibilities above through all 5 clues.
Only 987 works.
Answer: 987
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.
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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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.
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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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?
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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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.
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
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
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:____.
mation. (See Example 5.)
30. ax² + 6x + c = 0; two real solutions
Answer:
Step-by-step explanation:
ax²+6x+c=0
disc=6²-4×a×c=36-4ac≥0,(∵ it has two real solutions.)
36-4ac≥0
36≥4ac
4ac≤36
ac≤9
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 .
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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3(x2-6)+4xy when x=2 and y=-2
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.
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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?
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
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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Please help will mark Brainly
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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A certain forest covers an area of 2100 km2. Suppose that each year this area decreases by 4.25%. What will the area be after 10 years?
The area of the forest would decrease to 1360 km²
What is compounding in percentages?Divide the value of an investment at the end of the period by its value at the beginning of that period. Raise the result to an exponent of one divided by the number of years. Subtract one from the subsequent result. Multiply by 100 to convert the answer into a percentage.
Given here, an area of 2100 km² and each year it decreases by 4.25%
in the first year, the area of the forest becomes (2100 - 4.25/100 × 2100)
= 2010.75 km²
in the second year, the area becomes 2100 × (1-4.25/100)²
= 1925.29 km²
similarly, in the tenth year, the area becomes 2100 × ( 1- 4.25/100)¹⁰
= 1360 km²
Hence, the area of the forest reduces to 1360 km²
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For the function f(x)=[tex]x^{2} +3x-18[/tex] solve the following. f(x)[tex]\geq 0[/tex]
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.
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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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 .
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%.
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 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.
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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Jason's family drinks 2 1/2 gallons of milk in 4 days. How many gallons of milk does he drink in a day?
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:
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