If the population standard deviation of the stopping distance is provided as σ = 6.7 feet. Estimate the average stopping distance of all Model A tires with a 94% confidence interval.
Answers
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
The estimate of the average stopping distance of all model A tires with a 94% confidence interval is
[tex]132.94 < \mu < 144.86[/tex]
Step-by-step explanation:
From the question we see that
The sample size is n = 8
The population standard deviation is [tex]\sigma = 6.7[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{ 145 + 152 + \cdots + 133}{8}[/tex]
=> [tex]\= x = 138.9[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.04[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 8 - 1[/tex]
=> [tex]df = 7[/tex]
Because the n < 30 we will making use of the t table
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 7[/tex] is
[tex]t_{\frac{\alpha }{2}, 7 } = 2.517 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , df} * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.517 * \frac{6.7 }{\sqrt{8} }[/tex]
=> [tex]E =5.96 [/tex]
Generally 94% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]138.9 -5.96 < \mu < 138.9 + 5.96[/tex]
=> [tex]132.94 < \mu < 144.86[/tex]
Related Questions
Hurry plz!!! Which two numbers have a least common multiple of 60?
OA) 12 and 15
OB) 6 and 10
OC) 6 and 15
OD 6 and 12
Answers
Answer:
A) 12 and 15
The question is in the image below!
Answers
Answer:
4
Step-by-step explanation:
16x - 4y = 20
-4y = -16x + 20
y = 4x - 5
ill give brainliest to who ever answers this :)
Answers
If you carried a ball 50.5 yards at the first half of a game . By the end of the game you carried the ball for a total of 75 yards. Find the percentage of increase
Answers
Answer:
percentage of increase = 49%
Step-by-step explanation:
Percentage change for any value is given by
percentage change = (new value - old value)/old value * 100 %
If there is increase in new value, percentage change can be called as percentage increase.
If there is decrease in new value, percentage change can be called as decrease increase.
_________________________________________________
Distance covered in first half of game = 50.5 yards
Distance covered in first full game = 75 yards
percentage of increase = (Distance covered in first full game - Distance covered in first half of game)/Distance covered in first half of game * 100 %
percentage of increase = (75 - 50.5)/50.5 * 100% = 24.5/50 * 100%
percentage of increase = 49% answer
are the two equations equivalent, explain
b=5m
b=1/5m
(the lesson is on proportional relationships)
Answers
Answer:
The two equations are not equal.
Step-by-step explanation:
If you were to fill in the variable with a number, you’d get completely different answers for each equation.
For example,
B=5(2)
5(2) = 10
B 1/5(2)
1/5(2) = 2/5
4. Jennifer earned $50 from her part time job. She wants to put $15 of her earnings into a savings
account. She spends $24.99, including tax, on a new hardcover book, but also wants to buy some new
bookmarks. If each bookmark costs $1.75, including tax, what is the maximum number of bookmarks
she can buy?
Answers
Answer:
she should be able to buy 14 books i might be wrong i dont really know :/
Step-by-step explanation:
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x)?
1
3
O 2
O 13
Answers
Answer:x=2
Step-by-step explanation:
The value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x) is 2.
The correct option is C.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
2.5(6x - 4) = 10 + 4(1.5 +0.5x)
Solving the equation for x we get
15x - 10 = 10 + 6 + 2x
15x - 2x = 16 + 10
13x = 26
Divide both side by 13 we get
13x/ 13 = 26 /13
x= 2
Thus, the value of x is 2.
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2x – 8 + x = 3(x – 8) + 16
Answers
Answer:
0
Step-by-step explanation:
First, multiply
2x - 8 + x = 3x - 24 + 16
Combine like terms
6x -8 = -8
Add 8
6x = 0
so the answer should be 0
An angle measures 21.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
angles 100.6 and 79.4 = 180 degrees
Step-by-step explanation:
supplementary angles add to 180
angles 100.6 and 79.4 = 180 degrees
100.6 -21.20= 79.4
x+ x-21.2 = 180
2x = 158.8
x= 79.4
79.4 + 21.2= 100.6
Which term best describes the number of solutions that will maximize the function below given the constraints listed?
(Assume that x >0and y>0.)
x + 2<5
x-y<2
F(x,y) = 2x+y
unbounded
b. one optimal solution
a.
C.
infeasible
d. alternate optimal solutions
Answers
Answer:
b
Step-by-step explanation:
i took the quiz
Simplify 5x +7 + 4(2x + 3)
Answers
Answer:
13x+19
Step-by-step explanation:
solve each question 23. -7/8 = 2/3 + n
Answers
Answer:
n = - [tex]\frac{37}{24}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{7}{8}[/tex] = [tex]\frac{2}{3}[/tex] + n
Multiply through by 24 ( the LCM of 8 and 3 ) to clear the fractions
- 21 = 16 + 24n ( subtract 16 from both sides )
- 37 = 24n ( divide both sides by 24 )
- [tex]\frac{37}{24}[/tex] = n
Divide -1,365 by 21.
Answers
Answer:
-65
Step-by-step explanation:
The area in square feet of a rectangular field is x^2- 90x + 2000. The width, in feet, is x - 40. What is the length, in feet?
The length in foot
Answers
(X-40)(x-50) / (x-40)
how many foods need a rest time
Answers
Answer:
larger meats
Step-by-step explanation:
depends how long and howuch they weigh
5x-7-2x=10 what is x equaled to
HELP ASAP!!!!
Answers
Answer:
x=-1
Step-by-step explanation:
5x-2x-7=-10
3x-7=-10
3x-7+7=-10+7
3x=-3
x=-1
[tex]\text{Hey \: there!}[/tex]
[tex]\text{5x - 7 - 2x = 10}[/tex]
First you'll have to COMBINE all of your like terms[tex]\bf{(5x - 2x) \: which \: gives \: us \: 3x}[/tex]
New equation becomes: [tex]\bf{3x - 7 = 10}[/tex]Add by 7 on your sides[tex]\text{3x - 7 + 7 = 10 + 7}[/tex]
Cancel out[tex]\bf{ - 7 + 7 \: because \: it \: gives \: you \: 0}[/tex]
[tex]\bf{10 + 7 = 17}[/tex]
New equation: [tex]\bf{3x = 17}[/tex]Divide by 3 on both sides[tex] \frac{3x}{3} = \frac{17}{3} [/tex]
Cancel out [tex] \frac{3x}{3} \: \bf{because \: it \: gives \: you \: 1 \: and \: not \: x \: }[/tex][tex]\text{we \: cant \: divide \: 17 \: from \: 3 \: because \: itll \: give \: us \: a \: decimal}[/tex]
[tex]\boxed{\bf{thus \: your \: answer \: is \: \bf{ \frac{17}{3} }}}[/tex]
Good luck on your assignment and enjoy your day!~
[tex]\frak{loveyourselffirst:)}[/tex]
Evaluate 2x when x=5
Answers
Answer:
10
Step-by-step explanation:
If x is 5 then 2x is 2×5 which is 10
Answer:
10
Step-by-step explanation:
x=5
5x2=10
Two sides of an isosceles triangle are 4 and 16, respectively. Find the length of the third side
Answers
Answer:
4 or 16.
Step-by-step explanation:
An isosceles triangle is one with two sides being the same sides, and the base a different one. If two of the lengths are 4 and 16, the last one has to be either of those.
Name the pair of angle and find the measure of angle b
Answers
Veronica family is getting ready for a huge go cart race they only bought 15 gallons of gasoline though if each car needs 2 and 1/5 gallons of gas how many go carts can Be filled for the race
Answers
Hi! I believe your answer is 6 go-carts because 15 gallons divided by 2 and 1/5 gallons is 6 go-carts. I hope this helps you! Good luck and have a great day. ❤️
Liza needs help to solve this linear equation. 4(x – 5) + 2x = 9x – 2(4 + 2x) She has completed two steps, but now she's stuck. Examine her work. 1. 4x - 20 + 2x = 9x - 8 - 4x 2. 6x - 20 = 5x - 8 What could be the next step? Select all that apply. Add 8 to both sides. Add 5x to both sides. Subtract 6x from both sides. Subtract 20 from both sides. Divide both sides by –8. Divide both sides by –20
Answers
Answer:
Add 8 to both sides
Subtract 6x from both sides.
good luck i also did it on edge
To solve the given linear equation , next steps to be followed
1. Subtract 6x from both sides.
2. Add 8 to both sides.
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Given linear equation
4(x – 5) + 2x = 9x – 2(4 + 2x)
Step 1: 4x - 20 + 2x = 9x - 8 - 4x
Step 2: 6x - 20 = 5x - 8
Next step is Subtract 6x from both sides.
Step 3: 6x - 20 - 6x = 5x - 8 - 6x
⇒ -20 = -x - 8
Next step is Add 8 to both sides.
Step 4: -20 + 8 = -x - 8 + 8
⇒ -12 = -x
⇒ x = 12
Hence,
To solve the given linear equation , next steps to be followed
1. Subtract 6x from both sides.
2. Add 8 to both sides.
Find out more information about linear equation here
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What percent of 300 is 26?
(Equation)
Answers
Step-by-step explanation: I would advise writing out the equation
by simply reading the problem from left to right and solving it from there.
So for this problem we have "what percent."
Since "percent" means over 100 and "what"
means x, "what percent" would be x/100.
The word "of" means times, 300 is 300, "is" means equals, and 26 is 26.
So we have x/100 · 300 = 26.
We can rewrite this problem as 300x/100 = 26.
To get rid of the fraction, we multiply both sides
by 100 and we have 300x = 2600.
Dividing both sides by 300, you can use a calculator to
find that x = 8.66666 which rounded to 8.67.
So 8.67% of of 300 is 26.
At president bushs inauguration in 2005 the news paper headlines stated there were about 400,000 people in attendance. If the newspaper rounded to the nearest ten thousand, what is the largest number and smallest number of people who could have been there
Answers
Answer: Largest = 404999
Smallest = 395,000.
Step-by-step explanation:
Given data:
Number of people in attendance = 400,000
Solution:
If we were to round off to the nearest ten thousand the greatest number we can get would be = 404999.
And following the same principle the smallest number we would be able to get would be = 395000
Therefore, the largest number of people who could have attended the inauguration would be 404999.
And the smallest number of people who could have attended would be 395000.
What is the value of X in the equation 7× + 2y =48, when y = 3
Answers
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]7x+2\left(3\right)=48[/tex]
[tex]7x+2\cdot \:3=48[/tex]
[tex]7x+6-6=48-6[/tex]
[tex]7x=42[/tex]
[tex]\frac{7x}{7}=\frac{42}{7}[/tex]
[tex]x=6[/tex]
please solve this i want to go to my dads house but i have homework
Answers
Answer:
Y=7
Step-by-step explanation:
56767874988558745647457546758467654858765475647567864578547834894543987843579453478974398459737956479547954 -5743785347864357843576453764753764357654376543765467578587438743589438932587534794978789487943578943587943578435879 =?
Answers
You are given a 14 inch by 8 inch rectangular sheet of metal from which you are to construct a box. You are to cut a length, x, from each corner of the sheet of metal so that you can fold up the sides creating a box. Find the value of x that will yield the maximum volume of the box. Round your solution to the nearest hundredth.
Answers
Answer:
x = 1.639 in
Step-by-step explanation:
With these instructions, the length of the box would be (14-2x), the width would be (8-2x), and the height would be x, so the equation for volume would be width*length*height, or
[tex]V=(14-2x)(8-2x)(x)[/tex]
[tex]V=4x^3-44x^2+112[/tex]
Now we solve for dV/dx because we want to find maximum volume
[tex]\frac{dV}{dx} =12x^2-88x+112[/tex]
[tex]\frac{dV}{dx} =4(3x^2-22x+28)[/tex]
Now we let dV/dx equal zero to find critical values
[tex]0=4(3x^2-22x+28)[/tex]
[tex]0=3x^2-22x+28[/tex]
[tex]x=\frac{11+\sqrt{37} }{3}[/tex], [tex]x=\frac{11-\sqrt{37} }{3}[/tex]
Now we see where dV/dx changes signs:
dV/dx changes from positive to negative at [tex]\frac{11-\sqrt{37} }{3}[/tex]
and from negative to positive at [tex]\frac{11+\sqrt{37} }{3}[/tex]
so V(x) has a local maximum when x = [tex]\frac{11-\sqrt{37} }{3} = 1.639[/tex] in
What is the slope of a line perpendicular to the line whose equation is
x + 2y = -14. Fully reduce your answer.
Answers
Answer:
Step-by-step explanation:
2
HeLp HelP please please
Answers
10 divided by 8 = 1.25 or 1 1/4
5 divided by 8 = .625 or 5/8
solve the equation
y=x²-2x-24
Answers
Answer:
when y is equal to 0
X will be equal to 6 & -4