A manufacturer of fuses claims that with 20% overload, the fuses will blow
in less than 10 minutes on the average. To test this claim, a random sample of 20 of
these fuses was subjected to a 20% overload, and the times it took them to blow had
the mean of 10.4 minutes and a sample standard deviation of 1.6 minutes. It can be
assumed that the data constitute a random sample from a normal population. Do they
tend to support or refute the manufacturer’s claim?
Using the t-distribution, it is found that since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.
What are the hypothesis tested?At the null hypothesis, we test if there is not enough evidence that the mean is less than 10 minutes, that is:
[tex]H_0: \mu \geq 10[/tex]
At the alternative hypothesis, we test is there is enough evidence that the mean is less than 10 minutes, that is:
[tex]H_1: \mu > 10[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 10.4, \mu = 10, s = 1.6, n = 20[/tex]
Hence the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{10.4 - 10}{\frac{1.6}{\sqrt{20}}}[/tex]
t = 1.12.
What is the p-value?Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than a value, with t = 1.12 and 20 - 1 = 19 df, the p-value is of 0.8617.
Since the p-value of the test is greater than the standard significance level of 0.05, the data refutes the manufacturer's claim.
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The linear regression model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold.
Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth. When they sell 95 ice cream cones, the temperature is approximately _ °F.
Answer:
95.5 °F
Step-by-step explanation:
A linear regression model is used to represent the relationship between two variables in form of a linear equation. A linear regression line equation is in the form Y = a + bX, where X is the independent variable, Y is the dependent variable, b is the slope of the line and a is the Y intercept (the value of y when x = 0).
Given that x represents the temperature (°F) and y represents the number of ice cream cones sold.
We have the equation as y = 1.8x - 76.9.
Given a 95 ice cream cones sold, to find the temperature, we substitute y = 95 and find x:
y = 1.8x - 76.9
95 = 1.8x - 76.9
1.8x = 95 + 76.9
1.8x = 171.9
x= 95.5 °F
When they sell 95 ice cream cones, the temperature is approximately 95.5 °F
I need to know what transformation the function did .
Help please !
Answer:
i would pick a or d sorry i cant help Step-by-step explanation:
When isabel began her book selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent a warehouse.
The are of the warehouse is 8100 square feet. Her only requirement is it must be squared. write a function that expresses f(x)
Answer:
x is the sidelength of the square;
f(x) = x^(2)
8100 = x^(2)
90 = x
Which description best describes the graph?
a. Linear increasing
b. Linear decreasing
c. Nonlinear increasing
d. Nonlinear decreasing
HELP ASAP ILL GIVE BRAINLIST
Answer:
Part A) ΔCGB and ΔPBE are similiar
Part B) They are similar because they are Vertical Angles/Alternate Interior Angles
Part C) Distance from B to E is 125; Distance from P to E is 275.
Step-by-step explanation:
What is 2 and 1/4 divided by 3/4?
Answer:3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2 1/4 divided by 3/4 =
9/4 * 4/3 =
36/12 =
3
The area A of a rectangle with dimensions 4x and 5 is described with the inequality 100 ≤ A ≤ 1,000 Select the compound inequality for the area written in terms of x. A 100 ≤ 10+8x ≤ 1,000 B. 100 ≤18x ≤ 1,000 C. 100 ≤ 9x ≤ 1.000 D. 100 ≤20x ≤ 1.000 The solution to the compound inequality is _____ ≤x≤ ________ Are all of your solutions viable? ________
Someone help me on this question, please. I don't understand!!
The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000, the solution is 5 ≤ x ≤ 50 and all the solutions are viable
How to select the compound inequality for the area written in terms of x?The given parameters are
Dimensions = 4x and 5
Area: 100 ≤ A ≤ 1,000
The area is calculated as
A = Product of dimensions
So, we have
A = 4x * 5
Evaluate
A =20x
Substitute A =20x in 100 ≤ A ≤ 1,000
100 ≤ 20x ≤ 1,000
So, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000
Divide through 100 ≤ 20x ≤ 1,000 by 20
5 ≤ x ≤ 50
Hence, the solution is 5 ≤ x ≤ 50 and all the solutions are viable
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A piece of paper is 0.01 centimeters thick When you fold it once it becomes 0.02 cm thick. If you fold it again it doubles again to 0.04 cm thick each fold doubles thickness of the paper. how thick is the paper?
Answer:
Step-by-step explanation:
If each fold doubles every time you fold it and its already fold to 0.04 cm it would be doubled if you fold it again so it would be 0.08 cm.
help me with my homrwork
Answer:
divide 19400000 and 51000
answer will be 380.39
Diego’s uncle sells computers. In addition to his hourly wage of $14.75, he gets paid 20% of the amount that he sells. Diego’s uncle earns $1,190 after working 40 hours. What amount of merchandise did he sell over these 40 hours?
- - - - - - - - - - - - - - - - - - - - - - - -
Work below!
- - - - - - - - - - - - - - - - - - - - - - - -
First, divide $1,190 by 40(hours).
29.75
Now, divide by 20%.
5.95 (round up to 6)
- - - - - - - - - - - - - - - - - - - - - - - -
Hope this helped!
~pinetree
What are the slope and the y-intercept of the linear function that is represented by the equation Y--103-12
The slope is -10, and the y-intercept is -1.
The slope is -10. and the y-intercept is 1
The slope is -1, and the y-intercept is -10.
The slope is 1, and the y-intercept is -10.
Save and Exit
Answer:
The slope is -10, and the y-intercept is -1.
Step-by-step explanation:
The linear function is [tex]y=-10x-1[/tex].
The general form of a line is [tex]y=mx+c[/tex]
where
m = Slope of the line i.e., change of altitude divided by the change of the horizontal.
c = y intercept of the line i.e., the point where the line intersects the y axis.
Comparing with the given equation we get
[tex]m=-10[/tex] and [tex]c=-1[/tex]
So, the slope is [tex]-10[/tex], and the y-intercept is [tex]-1[/tex].
PLEASE HELP THX IT WOULD MEAN A LOT :(
Answer:
The prime factorization of 100 is 2 * 2 * 5 * 5.
Step-by-step explanation:
Answer:
100 = 2² × 5²
Step-by-step explanation:
100 = 2 × 2 × 5 × 5
= 2² × 5²
PLZZZ HELP ITS FOR MY FINAL if 7a/8=14 then 12a=
Use the Distribuitive Property to rewrite and find 4x(25+4)
Answer: 116
Step-by-step explanation:
116 , (4 * 25) + ( 4 * 4 )
4 x (25 + 4)
4 * 25
4 * 4
(4 * 25) + ( 4 * 4 ) = Distributive Property
4 * 25 = 100
4 * 4 = 16
100 + 16 = 116
Answer:
116
Step-by-step explanation:
4 × ( 25 + 4 )
= ( 4 × 25 ) + ( 4 × 4 )
= 100 + 16
= 116
pls mark branliest....
I NEED HELP ON THIS PLEASE!!!!!!!
Answer:
b
Step-by-step explanation:
HELP ME PLEASE!!! whoever can answer..
Step-by-step explanation:
Hey there!
Please see explanation in picture.
Hope it helps......
Math Jakob only Jake answer.
Answer:
Jake is a college sophomore and a math and science prodigy. ... Morley Safer and producer Katy Textor did just that.
Step-by-step explanation:
Bruh.
The graph of y= -3× + 4 is
Answer:
2-37
5-83234
23574
29016
what is the awnser to y=-1
Answer:
Slope: 0
y-intercept: (0,-1)
Step-by-step explanation:
Answer Please : )
Why negative ( - ) sign is cannot be pulled out of square root.???
To show the negative of a square root, a negative sign would have to be placed outside the radical.
Answer:
Step-by-step explanation:
Because √-1 is an imaginary number √-1=i
They are imaginary because there are no same real numbers multiplyed that gives you a negative number
√4 = √2*2 ( +2*+2 =+4)
√4 = √-2*-2 (-2*-2 =+4)
√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)
Find the derivative of the function. f(x) = (8x − 5)−1 f '(x)
Answer:
x=4
Step-by-step explanation:
8) Evaluate the algebraic expression for the value given: 4- 2x; when x =6 2 points
12
16
-8
8
I will give brainliest!!!!!
Answer:
False
Step-by-step explanation:
This graph is not a function because it fails the vertical line test where you draw a vertical line through the graph and if the vertical line touches the graph more than once it fails the vertical line test which means it is not a function.
Hope this helps!
A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure?
number of seats
type of transmission
presence of a sunroof
fuel efficiency (in mpg)
An example of a continuous quantitative variable that might be included in the brochure is; A: number of seats
What is the continuous quantitative variable?Quantitative continuous variables are defined as the variables whereby their values are uncountable while also having a number of possibilities that are infinite.
A discrete quantitative variable is a variable that can be counted. This means that they are written in units whereby numbers will be counted and can be assigned.
From the question, the number of seats that are inside the car are countable. Thus, it can be evaluated based on its numerical value, instead of quality. In short, we can even say that the buyers were of the opinion that the more the number of seats that were in the car, the more the number of people the car was able to carry. Thus, we can conclude that the family would love to buy a car that has a reasonable number of seats.
Thus, we can conclude that the type of the transmission is a qualitative variable.
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−56a−64=?
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
What is: 3➗3/4?
Plz Help.
Answer:
4
Step-by-step explanation:
3/3/4
3 * 4/3
4
Hope this helps plz hit the crown :D
Answer:
4
Step-by-step explanation:
3=3/1 (3 as a fraction)
3/1 ÷ 3/4
=3/1 *4/3 --> flip second fraction and turn divide sign to a multiplication sign.
3/1*4/3=12/3
12/3=4/1=4
Can anyone find the value of the variables!
Answer:
5) x:-7.5
6) y:7.8
7) a:-11
8) y:1
Step-by-step explanation:
Helps it’s due in 40 mins thanks for help
PLS HELP QUICK!!!!
Select if each equation has ONE SOLUTION, INFINITE SOLUTIONS, NO SOLUTIONS
2(3x-7) = 6x-14
-5x+12 = -5(x-2)
4(x-2) = 3x+1
Answer:
2(3x-7) = 6x-14 has infinite solutions
-5x+12 = -5(x-2) has no solutions
4(x-2) = 3x+1 has one solution x = 9
Step-by-step explanation: