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.
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]
Evaluate the expression 2m - 12 when m = 8.
A. 20
B. 4
C. -4
D. -20
Answer:
4
Step-by-step explanation:
2(8)-12=
16-12=
=4
HELP FAST PLEASE IM BEGING PLS PLS
y varies inversely as x . If x = 4 then y = 9. Find y when x = 3.
Anyone help?
Answer:
12
Step-by-step explanation:
Given, x and y are inversely proportional.
So, the equation is xy=k, where k is the constant of proportionality
x=4, y=9. plug in the values to find k.
k=4*9 = 36
When x=3, y = k/x =36/3 = 12
y=12, when x=3
The cost of a gallon of milk is $3.27 each. What is the maximum number of milk cartons you can buy for $20?
Answer:
6
Step-by-step explanation:
20 divided by 3.27 is 6.11 but you can't have .11 of a milk carton.
−14x − 5= −10x − 45
what is x?
Answer:
x = 10
Step-by-step explanation:
-4x = -40
x = 10
As you ride a Ferris wheel, your distance from the ground varies sinusoidally with
time. You enter the Ferris wheel from the bottom, which is 8 feet from the ground.
The Ferris wheel has a diameter of 60 feet and makes a full revolution every minute.
What is your height above the ground at t = 20 seconds?
a) 46 ft b) 47 ft c) 53 ft d) 54 ft
Answer:
i think it would be b/47
Step-by-step explanation:
Robert bought 3 baseball caps for the same amount and 1 baseball jersey that cost $45. Without tax, the total cost of the items is $90. What is the cost of each baseball cap?
Answer:
Unitary cost= $15
Step-by-step explanation:
First, we need to calculate the total cost of the baseball caps:
Total cost baseball caps= 90 - 45
Total cost baseball caps= $45
Now, the unitary cost of each baseball caps:
Unitary cost= total cost / number of units
Unitary cost= 45/3
Unitary cost= $15
Do this plz ;/ to lazy, dont answer id u dont know or else (;
Answer:
it would be the one after eight so put it on the 9 mark
Step-by-step explanation:
hope u get it right if not srry
If Sn=-15, a1=12, d=-3 what is the value of n?
Ah yes.
Refer the pictures at the bottom. Let me know in comments if you can access the pdf given.
A grocery store sells a bag of 6 oranges for $2.10. How much does one orange cost?
Answer:
0.35 cents each
Step-by-step explanation:
2.10 divided by 6 = 0.35
Combine the like terms to create an equivalent expression:
2s+(−4s)
(2 s) + ((−4) s) =
-2 seconds
three times the sum of a number n and 5 is at least 17.
Answer:
3(n+5)≥17
Step-by-step explanation:
3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.
What is an Inequality?The relationship between two expressions or values that are not equal to each other is called inequality.
Given that three times, the sum of a number n and 5 is at least 17.
According to the question, the expression will be = 3(n+5)≥17
Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ2
Given f(x) = 6(1 - x), what is the value of f(-8)?
Answer:
54
Step-by-step explanation:
Given f(x) = 6(1 - x), what is the value of f(-8)?
F(-8)=6(1--8) -- plug -8 into f(x) and x spots.
F(-)8=6(9) ---then solve
F(-8)=54 --- so the function to f(-8) is 54
PLS HELP ASAP..!! I WILL GIVE YOU BRAINLYEST!!! :))
Answer: The last one/ D
Solve Absolute Value.
|4x+1|≤5
We know4x+1≤5and4x+1≥−5
4x+1≤5(Condition 1)
4x+1−1≤5−1(Subtract 1 from both sides)
4x≤4
4x4≤44(Divide both sides by 4)
x≤1
4x+1≥−5(Condition 2)
4x+1−1≥−5−1(Subtract 1 from both sides)
4x≥−6
4x4≥−64(Divide both sides by 4)
x≥−32
which example describes measuring area
Answer:
Of what?
Step-by-step explanation:
A 2nd baseman throws a baseball toward the 1st baseman 60 feet away. The path of the ball is given by f(x)=-0.004x^2+0.3x+6, where f(x) is the height of the ball (in feet) and x is the horizontal distance from the 2nd baseman (in feet). The 1st baseman can reach 8 ft high. Can the 1st baseman catch the ball without jumping?
Answer:
The 1st baseman can't catch the ball without jumping.
Step-by-step explanation:
To know if the 1st baseman can catch the ball without jumping we need to find the height reached by the baseball by solving the following equation:
[tex] f(x) = -0.004x^{2} + 0.3x + 6 [/tex]
We know that x (the horizontal distance) = 60 feet, so we have:
[tex] f(60) = -0.004(60)^{2} + 0.3(60) + 6 [/tex]
[tex]f(60) = 9.6 ft[/tex]
Since the 1st baseman can reach 8 ft high and the height reached by the baseball is 9.6 ft, the 1st baseman can't catch the ball without jumping.
Therefore, the 1st baseman can't catch the ball without jumping.
I hope it helps you!
At the beginning of a snowstorm, Grayson had 10 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting
how much snow would Grayson have on his lawn 3 hours after the snow began to fall? How much snow would Grayson have on his lawn after tt hours of snow falling?
Answer:
25 inches of snow
Step-by-step explanation:
Answer:
11.5 inches for the first question
I dont know what the second question is asking
Hope this helps :)
What are ways to write k/3 + 16 in words
Answer:
You can say "K over 3 plus 16" or 'The sum of 16 plus k over 3"
Step-by-step explanation:
Hope this helps :)
A designer is trying to build the ideal sized fish tank for a customer. It must hold exactly 24 cubic feet of water and can only be 4 feet in height. If the designer increases the width of the fish tank, what must happen to the length of it so that the volume remains the same? A. The length must stay the same. B. The length must decrease. C. The length must increase.
Answer:
B. The length must decrease
Step-by-step explanation:
Given;
maximum volume of the tank, V = 24 ft³
maximum height of the tank, h = 4 ft
let the width of the tank = w
let the length of the tank = L
Volume of the tank is given by;
V = Lwh
L = V / (hw)
L = 24 / (4w)
L = 6/w
L is inversely proportional to w; an increase in w (width) will cause a decrease in L (length)
Therefore, If the designer increases the width of the fish tank, "The length must decrease"
Gold costs $500 per ounce. A solid gold nugget is 23.5 ounces. How much is it worth?
Answer: $11,750
Explanation: 23.5 × 500 = 11,750
Plz mark brainliest:)
Are utility costs fixed or variable?
Answer:
variablle
Step-by-step explanation:
Answer:
Fixed costs often include rent, buildings, machinery, etc. Variable costs are costs that vary with output. ... Variable costs may include wages, utilities, materials used in production, etc. In accounting they also often refer to mixed costs.
Step-by-step explanation:
HELLPP ME ILL GIVE 100PTS AND BRAINLYIST
GO TO MY RECENT QUESTIONSSSSSSS
Answer:
The correct answer is D
Step-by-step explanation:
Answer:
B. The graph is linear because it increases at a constant rate.
the cost of 1 kg apples is ruppees 85 find the cost of 2 3/4 kg apples
pls urgent will mark u the brainliast
Answer:
233.75 ruppees
Step-by-step explanation:
convert 2[tex]\frac{3}{4}[/tex] into decimal
2.75
calculate
85 × 2.75
233.75
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
what lines are perpendicular to 2x-7y=-25
Answer:
Step-by-step explanation:
Given the line 2x-7y = -25
First let us get the slope of the line:
Rewrite the equation in the form y = mx+c
2x-7y = -25
-7y = -2x-25
y = -2x/-7-25/-7
y = 2/7 x +25/7
The slope of the line is 2/7
Ffor two lines to be perpendicular, the product of their slope must be -1
mM = -1
m(2/7)= -1
2m = -7
m = -7/2
Hence the lines perpendicular to the given line must be a line that has a slope of -7/2. Since we are not given option, we can say example of such line is y = -7/2 x + 15
el salario mensual de mi papa es de 12825 y paga la renta de la casa que equivale a una tercera parte de su sueldo cuanto paga de renta cuanto le queda para los demas gastos
Answer:
Mi papa paga $ 4275 por la renta de la casa y le queda $ 8550 para el ahorro y los demás gastos.
Step-by-step explanation:
Mi padre recibe su paga, dedica una tercera parte para pagar la renta de la casa y dispone del resto, es decir, las dos terceras partes, para ahorro y demás gastos. Entonces, calculo los rubros correspondientes:
Rubro dedicado al pago de la renta de la casa
[tex]x = \$\,12825\times\frac{1}{3}[/tex]
[tex]x = \$\,4275[/tex]
Rubro dedicado al ahorro y los demás gastos
[tex]y = \$\,12825-x[/tex]
[tex]y =\$\,12825-\$\,4275[/tex]
[tex]y = \$\,8550[/tex]
Mi papa paga $ 4275 por la renta de la casa y le queda $ 8550 para el ahorro y los demás gastos.
The sum of a numerator and denominator of a fraction is 18. If the denominator increased by 2, the fraction reduces to 1/3. Find the fraction.
Sum of the numerator and denominator = 18
If the denominator is increased by 2 , the fraction reduces to 1/3.
Find:the fraction
Solution:Let the fraction be x/y.
⟹ x + y = 18
⟹ x = 18 - y -- equation (1)
And,
If the denominator is increased by 2 , the fraction reduces to 1/3.
⟹ x/y + 2 = 1/3
⟹ 3x = y + 2
Substitute the value of x from equation (1).
⟹ 3(18 - y) = y + 2
⟹ 54 - 3y = y + 2
⟹ 54 - 2 = y + 3y
⟹ 52 = 4y
⟹ 52/4 = y
⟹ 13 = y
Substitute the value of y in equation (1).
⟹ x = 18 - 13
⟹ x = 5
Therefore, the required fraction x/y is 5/13.
I hope it will help you.
Regards.
Answer:
Length is twice the breadth.
→ Length = 2 * x = 2x m.
Also,
Perimeter of the field = 150 m.
We know that,
Perimeter of a rectangle = 2(length + breadth).
Hence,
→ 150 = 2(x + 2x)
→ 150 = 2 * 3x
→ x = 150/2 * 3
→ x = 25
Step-by-step explanation:
PLEASEEEE HELPPPPP someoneeee I don’t want to fail :(
Answer:
write answer is 600,, 100% sure
Lol , so this question is from your school google forms? ; )
Answer is 600. Lemme show you how.
Y is proportional to x.
y ∝ x
to remove proportionality , we put k.
y = kx
Now , insert values of y and x to find k.
60 = k *75
k = 75 / 60
Now when Y = 480 , x =?
x = (75/60)(480) = 600.
X = 600
Which statements are correct? Select TWO that apply. A In the number 4,235 the 4 represents 10 times as much as it represents in the number 2,435. B In the number 2,453 the 5 represents 110 as much as it represents in the number 2,435. C In the number 3,245 the 3 represents 10 times as much as it represents in the number 2,435. D In the number 5,243 the 2 represents 110 as much as it represents in the number 2,435.
Answer:
A and B
Step-by-step explanation:
A. In the number 4,235 the 4 represents 10 times as much as it represents in the number 2,435.
4,235 = 4 is 4,000
2,435 = 4 is 400
A. Is true
B. In the number 2,453 the 5 represents 10 times as much as it represents in the number 2,435.
2,453 = 5 is 50
2,435 = 5 is 5
True
C. In the number 3,245 the 3 represents 10 times as much as it represents in the number 2,435.
3,245 = 3 is 3,000
2,435 = 3 is 30
Not true
D. In the number 5,243 the 2 represents 110 as much as it represents in the number 2,435
5,243 = 2 is 200
2,435 = 2 is 2000
Not true
Tina missed this problem on her test.
What was her mistake?
The multiplication is wrong in part A.
The multiplication is wrong in part B.
The place holder was left out in part B.
The decimal was moved too many places in part C.
c is your answer
Step-by-step explanation:
-throckmorton