Answer:
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
Step-by-step explanation:
Complete question
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.
1. What is the null hypothesis?
2. What is the alternative hypothesis?
Solution :
The null hypothesis is basically the problem statement that needs to be tested.
Alternate hypothesis is opposite of that of null hypothesis
a) Null Hypothesis: length of each screw is less than 14 centimeters
b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters
|x-5| = 9
x - 5 = 9
x = 14
-(x-5) = 9
-x + 5 = 9
-x = 4
x = -4
answer is B
{-4, 14)
Answer:
$24,000
Step-by-step explanation:
1. Find what 20% of 30,000 is.
20% x 30,000 = 6,000
2. The problem says the cost of a new car is 20% greater than a used car. Subtract the 6,000 from 30,000 to get the cost of the used car.
30,000 - 6,000 = 24,000
3. The cost of the used car is $24,000
Answer:
The average rate of change is 2.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change over the interval:
The average rate of change is synonymous with the slope. So, we will evaluate the function at its endpoints and find the slope between them.
Our first endpoint is given by:
And our second endpoint is given by:
This gives us two points (-4, -15) and (3, -1). The average rate of change will be the slope between them. Thus:
The average rate of change is 2.
Answer:
The two sides of the triangle are 9 cm and 15 cm. Let the length of the third side is x. According to triangle inequalities, in a triangle sum of the two sides is must be greater than the third side. So, the length of the third side is less than 24 cm.
