Answer: 12
Step-by-step explanation:
7(3)-2(4)-1=12
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 25.75 mpg and a standard deviation of σ = 2.75 mpg. (a) What is the standard error of X⎯⎯⎯ , the mean from a random sample of 36 fill-ups by one driver?
The standard error of X⁻, the mean from a random sample of 36 fill-ups by one driver is; 0.4167
How to find the standard error?
We are given;
Mean; μ = 26 mpg
Standard deviation; σ = 2.50 mpg
Sample size; n = 36 fill ups
The formula for standard error is;
SE = Standard deviation/√Number of samples
Thus, plugging in the relevant values into the standard error formula gives;
SE = 2.5/√36
SE = 2.5/6
SE = 0.4167
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Two pieces of metal measure one and one third yards and five sixths yards each. Three times the amount of metal is needed for a project. How many total yards of metal is needed? one and one half yards, 2 yards, four and one third yards, six and one half yards.
Pls help
Answer: 6 1/2 yards
Step-by-step explanation: you have to add 1 1/3 + 5/6, which is 2 1/6. 2 1/6x3=6 1/2
greed. bad luck. failing to treat each throw of the dice as independent of previous throws. treating each throw of the dice as independent of previous throws. regression toward the mean.
The Gambler's Fallacy is due to treating each throw of the dice as independent of previous throws
The gambler's fallacy, also known as the Monte Carlo fallacy, is when someone mistakenly thinks that the outcome of a prior event or series of events will make a given random occurrence more or less likely to occur.
This kind of thinking is flawed since past occurrences do not alter the likelihood that specific events will occur in the future.
In circumstances where the probability of various events is not independent, the gambler's fallacy is not applicable.
The outcome of previous events, such as the statistical permutation of events, might alter the probability of future happenings in such circumstances.
In response to the query,
The Gambler's Fallacy results from treating each roll of the dice as if it were unrelated to prior rolls. Option(4) is correct
The question is incomplete , the complete question is
The Gambler's Fallacy is due to
(1) greed.
(2) bad luck.
(3) failing to treat each throw of the dice as independent of previous throws.
(4) treating each throw of the dice as independent of previous throws.
(5) regression toward the mean.
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Write the equation of the line, in slope-intercept form, with the following information: slope:-1/12 point: (36, 2)
Answer:
y = - 1/12x + 5------------------------------------
Use point-slope form first and convert to slope-intercept.
Point-slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is a point and m- slopeSlope-intercept form:
y = mx + b, where m- slope, b- y-interceptPlug in the values:
y - 2 = - 1/12(x - 36)y - 2 = - 1/12x + 3y = - 1/12x + 3 + 2y = - 1/12x + 5Answer:
y = - 1/12x + 5
Step-by-step explanation:
is their a simplified way of understanding the proof limit?
Yes, there are several ways to understand the concept of a limit in calculus without going into the details of a formal proof. One way to understand the concept of a limit is to think of it as a way to measure how close a function gets to a particular value as the input to the function gets closer and closer to a certain number. For example, if we have a function f(x) and we want to find the limit of the function as x approaches 2, we can think of this as asking "how close does f(x) get to a certain number as x gets closer and closer to 2?"
Another way to understand the concept of a limit is to think of it as a way to describe the behavior of a function as the input gets very large or very small. For example, if we have a function f(x) and we want to find the limit of the function as x approaches infinity, we can think of this as asking "how does f(x) behave as x gets very large?"
Overall, the concept of a limit is a fundamental concept in calculus that allows us to describe and analyze the behavior of functions as the input to the function changes. While a formal proof of the limit can be quite complex, there are several intuitive ways to understand the concept without going into the details of the proof.
At the grocery store, Abdullah purchased 3 pounds of mac and cheese for $7.50. How much mac and cheese could Abdullah buy for $20?
The number of mac and cheese Abdullah can buy for $20 is 8.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, at the grocery store, Abdullah purchased 3 pounds of mac and cheese for $7.50.
Now, cost of 1 pound of mac and cheese =Total cost/Number of pounds of mac and cheese
= 7.50/3
= $2.50
Then, with $20 Abdullah can by =20/2.50
= 8
Therefore, the number of mac and cheese Abdullah can buy for $20 is 8.
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17. Identify any congruent figures in the coordinate plane at the right . Explain .
The rectangle PQMN to rectangle RSTU and triangle XYZ to triangle ABC are congruent figures.
What are congruent figures?
Two figures are said to be 'congruent' if they can be placed exactly over each other. When you place one slice of bread on top of the other, you'll notice that they're both the same shape and size. The term "congruent" refers to having exactly the same shape and size.
To identify the congruent figures in the given figures:
Two polygons are congruent if they have the same size and same shape.
(1) Rectangle PQMN and rectangle RSTU are the same shapes.
MN ≅ RS
NP ≅ ST
QP ≅ UT
MQ ≅ UR
Therefore rectangle PQMN and rectangle RSTU are congruent figures.
(2) Triangle XYZ and triangle ABC:
XY ≅ AB
YZ ≅ BC
XZ ≅ AC
Therefore triangle XYZ and triangle ABC are congruent figures.
Hence, the rectangle PQMN to rectangle RSTU and triangle XYZ to triangle ABC are congruent figures.
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A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them. Conduct a hypothesis test at the 5% level.
NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
Null hypothesis is rejected and it was concluded that proportion of the use of drugs in local seniors is more compare to national seniors.
As given in the question,
Total number of local seniors be n₁ = 100
Total number of national seniors be n₂ = 100
Let us consider proportion of local seniors be p₁
Number of local seniors using drugs = 65
Null hypothesis : p₁ = p₂
Alternative hypothesis : p₁> p₂
p₁ = 0.65
1 - p₁ = 0.35
And proportion of national seniors be p₂
Number of national seniors using drugs = 61
p₂ = 0.61
1 - p₂ = 0.39
Standard error = √ [p₁(1-p₁)/n₁ + p₂(1-p₂)/n₂]
= √0.65( 0.35)/100 + 0.61(0.39)/100
= √0.002275 + 0.002379
= 0.0682
Z =( p₁ - p₂ ) / √ [p₁(1-p₁)/n₁ + p₂(1-p₂)/n₂]
= 0.65 - 0.61 / 0.0682
= 0.04/ 0.0682
=0.5865
p-value = 0.2788 > 0.05
Null hypothesis rejected at the 5% level.
Therefore, from the given proportion of the distribution it is concluded that local seniors uses drugs in higher rate than the national seniors as null hypothesis rejected .
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Please help!
Use the table to write a function rule.
X Y
7 -21
6 -19
-3 -1
8 -23
The function rule of the given table is f(x) = -19x + 107.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
From the table we have,
f(7) = - 21
f(6) = -19
f(-3) = -1
f(8) = -23
The function rule.
f(x) = mx + c
m = (-19 + 21) / (6 - 7)
m = 21/-1
m = -21
f(6) = -19
x = 6 and f(x) = -19
-19 = -21 x 6 + c
-19 + 126 = c
c = 107
Now,
The function rule is f(x) = -19x + 107.
Thus,
f(x) = -19x + 107 is the function rule.
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Find the P-value for a test of the claim that less than 50% of the people following a particular diet will experience increased energy. Of 100 randomly selected subjects who followed the diet, 47 noticed an increase in their energy level.
Answer
the answer is 0.2743 please show work
The p-value for the given information is 0.247.
The p value refers to a number which is calculated from a statistical test and describes how likely a researcher is to have found a particular set of observations if the null hypothesis were true.
According to the provided information,
Sample size, n = 100
Sample proportion p’ = 47/100 = 0.47
The null hypothesis is: H0 - p = 0.5
The alternative hypothesis is: Ha - p > 0.5
Probability to be tested p = 0.5
Standard deviation = √p(1 – p)/n = √0.5(1 - 0.5)/100 = 0.05
z-test statistics is given by
z = (p’ – p)/σ = (0.47 – 0.5)/0.05 = - 0.6
From the table,
P value = 0.247
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Long or short? Put the names of all the students in your statistics class in a hat. Mix up the names, and draw 4 without looking. Let X = the number whose last names have more than six letters.
This is short. And it is does not have a binomial distribution.
Given,
When a variable has only two possible outcomes and each trial is independent of the others, the binomial distribution is utilised.
Here,
Yes, there are only two possible outcomes for each kid. Their last names either have more than six letters, or they do not.
However, as you choose, the names are not put back into the hat, changing the probabilities. As a result, the trials are not independent, and the distribution is not binomial.
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What is the expected sum of the numbers that appear on two dice, each biased so that a 3 comes up twice as often as each other number? A. 48/7 B. 3 C. 10/3 D. 44/7 E. 52/7
When we have a biased dice where 3 comes up twice as often as each other number, the expected sum of the numbers that appears on two such dice is 48/7.
Therefore, the answer is (A) 48/7.
From given condition of bias, probability of getting 3 is
P(3) = 2 × p
where P(1) = P(2) = P(4) = P(5) = P(6) = p
We also know P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1
That is 2p + 5p = 1
p = 1/ 7
P(3) = 2/7
Expected sum of the numbers that appear on a dice can be obtained by
EV = 1×1/7 + 2×1/7 + 3×2/7 + 4×1/7 + 5×1/7 + 6×1/7
EV = 24/7
Expected sum of the numbers that appear on two dice can be obtained by twice of one dice that is
EV = 2×24/7
EV = 48/7
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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
Based on the definition of similar solids, the value of x would be: D. 31.
How to Find the Side Lengths of Similar Solids?Similar solids are defined as two solids that have proportional corresponding linear measures, which means the ratio of their linear measures are equal.
Examples of linear measures include height, length, width, circumference or radii. This means that, if two cylinders for example are similar, then the ratios of their radii or heights will be equal or proportional to each other.
The two solids are similar as stated in the image above, which means their corresponding linear measures will have ratios that are equal or they are proportional.
The linear measures here are the sides of the base of the solids. Therefore, the ratios would be:
29/14.5 = x/15.5
(14.5)(x) = (29)(15.5)
x = (29 × 15.5) / 14.5
x = 31
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Use the diagram to estimate the perimeter, rounding each number to the nearest thousand.
18,167 cm/
43,812 cm
39,412 cm
O 102, 000 centimeters
O 103, 000 centimeters
O 100, 000 centimeters
O 101, 000 centimeters
Answer:
101000 centimeters
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides. Thus, the perimeter is [tex]18167+39412+43812 \approx 101000[/tex]
A widget manufacturer estimates that the total weekly cost in dollars, C, to produce x widgets is given by the linear function C(x) = 500 + 10x, where the intercept 500 represents the fixed cost of manufacturing any number of widgets and the slope 10 represents the variable cost of producing x widgets. Analysis of weekly widget production reveals that the number of widgets X produced in a week is a random variable with mean and standard deviation What are the mean and the standard deviation of C?
Analysis of weekly widget production reveals that the number of widgets X produced in a week is a random variable with mean and standard deviation the mean and the standard deviation of C is Third one.
Whats is a widget?
On both Apple iOS and Android devices, widgets present specific data that resides in an application running in the device. Each widget on an iPhone or other smartphone display presents selected bits of information that reside in the associated applications.
To add a widget on an Android smartphone, go to your home screen, touch and hold an empty space, then:
Tap Widgets. You'll see a list of what's available to install.
Touch and hold a widget. You'll see images of your home screens.
Slide the widget to where you want it. Lift your finger
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DEATH RACE FOR LOVE 999
In 1941, the ________ was signed by Great Britain and the United States, stating that neither country wanted to acquire territory nor would attempt to govern other nations.
Marshall Plan
United Nations Charter
Truman Doctrine
Atlantic Charter
Answer:
Step-by-step explanation:
D. Atlantic Charter
The Atlantic Charter established the creation of the United Nations.
help me pls to find the slope
Find the ordered pair that is a member of both x = -5y + 37 and x = -6y + 43
Answer:
(7,6)
Step-by-step explanation:
An ordered pair is a member of both equations if it satisfies both equations. In other words, we need to find values of x and y that make both equations true.
We can start by setting the two equations equal to each other, since they both represent the same variable, x. This gives us the equation -5y + 37 = -6y + 43. We can then solve this equation by subtracting -6y from both sides, which yields -5y + 37 - (-6y) = -6y + 43 - (-6y), or -5y - (-6y) + 37 = 43. This simplifies to -y + 37 = 43, or y = 43 - 37 = <<43-37=6>>6.
Now that we have found the value of y that satisfies both equations, we can plug this value into either equation to find the corresponding value of x. For example, we can plug y = 6 into the equation x = -5y + 37 to find that x = -5 * 6 + 37 = -30 + 37 = <<-30+37=7>>7. Therefore, the ordered pair that is a member of both equations is (7, 6).
A machine can manufacture 50 pens in 12 minutes. How many pens can it manufacture in two hours?
Answer:
500
Step-by-step explanation:
We know that in one hour, there is 60 minutes. If we need to figure out how many pens are produced in two hours, we can use an equation that looks like this:
60 × 2 (number of hours) = 120 (total minutes)
Now that we know that 120 is the total amount of minutes, we now need to figure out how many pens are produced. If 50 pens are produced every 12 minutes, then we need to figure out how many times 12 goes into 120.
12 × 10 = 120
Now that we know that 12 goes into 120 10 times, we now need to multiply 10 by 50 to get the total amount of pens produced.
10 × 50 = 500
500 pens are produced every two hours,
Answer:
500 pens
Step-by-step explanation:
A machine can manufacture 50 pens in 12 minutes. How many pens can it manufacture in two hours?
first of all we convert 2 hours into minutes, 1 hour = 60 minutes, 2 hours = 120 minutes, then we solve with an equation.
50 : 12 = x : 120
x = 50 × 120 : 12
x = 500
-------------------
check
50 : 12 = 500 : 120
25 : 6 = 25 : 6
25/6 = 25/6
the answer is good
Which of the following represents the characteristics of the graph of x > 3?
Open circle on 3, shaded to the left.
Closed circle on 3, shaded to the left.
Open circle on 3, shaded to the right.
Closed circle on 3, shaded to the right.
asap 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!!!!!!!!!!!!!!!!!!
Answer:
Open circle shaded to the right
Step-by-step explanation:
Since its a more than inequality, its is shaded to the right.
Since the inequality applies to numbers GREATER than 3 you have a open circle because you are not including 3.
17. Identify any congruent figures in the coordinate plane at the right . Explain .
PLEASE ANSWER
Answer:
(XYZ) and (ABC)
(MNQP) and (RUTS)
Step-by-step explanation:
XYZ and ABC are the same triangle. They are just rotated.
Similarly, MNQP and RUTS are the same figures. They are rotated.
For process in control, we expect Pfo of the points on process control chart to fall within the UCL and the LCL: would like to Show Work for this question: Qpen Show Work A)0.27 B)99.C)73 D)100
99.73 % of the points on a process control chart to fall within the UCL and LCL.
Given that,
We have to find the percentage of the points on a control chart to fall within UCL and the LCL.
We know that,
Calculating the sample data's standard deviation,. Adding three times to that sum. For the UCL, add (3 x to the average) and for the LCL, deduct (3 x from the average).
In control chart , control limits UCL and LCL are three standard deviations either side of the mean , so 99.73% of points are within the UCL and LCL.
Therefore, 99.73 % of the points on a process control chart to fall within the UCL and LCL.
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How do I start on this equation?
what is the value of the expression 2/5 m - 1/3 when
m = 3?
Answer:
when m=3,
then,2/5×3-1/3
=6/5-1/3
=(6×3-1×5)/15
=13/15 Ans...
Find an equation of the line passing through the given points. Express your answer in slope-intercept form.
(3.8) and (3.-5)
There is only one way to represent a vertical line as an equation:
[tex]x=d[/tex]
d = x-interceptSolving the Question
We're given:
Line passes through (3, 8) and (3, -5)Both of the x-coordinates in these points are equal.
This indicates that this is a vertical line.
The x-intercept of a vertical line will always look like [tex](x,0)[/tex], where x is the same x-value as the given points.
[tex]x=3[/tex]
Answer[tex]x=3[/tex]
The corporate team-building event will cost $56 if it has 7 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $80? Solve using unit rates.
Answer:
10
Step-by-step explanation:
56 ÷ 7 = 8 each.
80 ÷ 8 = 10
Which coordinates are the best estimate of the solution to the system of equations?
(-1,0)
(-1,-1)
(1,0)
(1,-1)
The coordinates are the best estimate of the solution to the system of equations (-1,0). The correct option is A.
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
The system of equations is,
-3x + y = 2
-4x + 7y = 1
When the graph is plotted on the coordinates axes, The value of x and y are -0.765 and -0.964, The best estimation for the coordinates will be (-1,0).
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Need help with this one
Answer:i believe its 60 with x=30
Step-by-step explanation:
Step-by-step explanation:
M(<BAC)=95° , M(<ABC)=2x , M(<ACD)=145°
let M(<ACB)=y
Then M(<ACB)+M(<ACD)=180° , Because they are in a straight line and straight line can measure 180°.
so , y+145°=180°
y=180°_145°
y=35° , M(<ACB)=35°
The sum.of the interior angle of any triangle is 180° . so now we have 95° , 38° and 2x so the value of x be
95°+35°+2x =180°
130°+2x=180°
2x=180°_130°
2x=50° , divide both sides by 2 to find the value of x
x=25° , 2*25°=50° , M(<ABC)=50°
M(<BAC)=95°, M(<ABC)=50° , M(<ACB) =35°
95°+50°+35°=180°
A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded. The summary statistics are as follows.
Do Not Exercise - Do Exercise
x1 = 73.4 beats/min - x2 = 69.7 beats/min
s1 = 10.3 beats/min - s2 = 8.6 beats/min
n1 = 16 - n2 = 12
test the claim that he difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly.
The claim "The difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly" is true.
What is meant by mean of data?
In math, mean refers an average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers
Here we have given that a researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded.
And we need to find the the claim that he difference between the mean pulse rate of people who do not exercise regularly is higher than the mean pulse rate of people who exercise regularly is true or not.
Here we have the hypothesis is H0:μ1−μ2=0H1:μ1−μ2>0
Here the Level of significance is 0.05
And the value of test statistics is calculated as,
=> t = [(X1−X2)−(μ1−μ2)]/[√S1²n1+S2²n2]
=> t = (73.5−69.3)/ [√10.2216+8.7212]
=> t = 1.1734
Hence, the value of test statistics is 1.1734.
And the critical value at 26 degree of freedom from t-table is 1.706, thus it provides insufficient evidence to reject null hypothesis.
Here, there is a direct relationship between the width of san interval or the sample standard deviation.
Therefore, if variance increases the width of an interval also increase and vice versa. Therefore, above statement is true
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Fill in the blank using the function y=4x+2 use the photo to help
Answer:
just substitute each value of x into the function
Step-by-step explanation:
1. (x=-2) y= 4(-2)+2
2. (x=0) y= 4(0)+2
3. (x=2) y= 4(2)+2
4. (x=4) y= 4(4)+2
use the same steps but change the value of x. go ahead a use your calculator
Hi, I need help with this. I need this solved using the Pythagorean Theorem. Jake needs to construct a ramp to roll a cart from your garage into the back of your truck
The truck is 15 feet from the garage. The back of the truck is 4 feet above the ground. How long does the ramp have to be (in feet)? Also, can you tell me whether you are finding the leg or hypotenuse?
Answer:
Step-by-step explanation:
i know this isnt the answer but see if this problem can be a guide to find the answer;/