The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.
Answers
Answer:
H0: u ≥ 9.5
Ha: u < 9.5
Step-by-step explanation:
The null hypothesis and the alternate hypothesis are reverse of each other.
The claim is either set as the null or alternate hypothesis
The null hypothesis is : H0: u ≥ 9.5 the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.
The alternate hypothesis is: Ha: u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is not considered equivalent to the standard.
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Which of the following is false regarding number sets
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Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the third angle is unknown.
Triangle M L N is similar to Triangle F G H because of the angle-angle criterion, Angle M is similar to angle F, Angle L is similar to angle G, and Angle N is similar to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the side lengths are unknown.
Answers
Answer:
A
Step-by-step explanation:
This is because when two angles of a traiangle are equal, it is obvious that the third angle of the triangles is equal too. Therefore, when all three angles of a triangle are equal, they are similar with the third-angle theorem.
Answers
Answer:
3.189 seconds
Step-by-step explanation:
You want f(t) = 0, so ...
0 = -16t^2 +13.4t +120
0 = t^2 -0.8375t -7.5 . . . . divide by -16
0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*
0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square
√7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root
t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875
It will take the rock about 3.189 seconds to hit the ground.
_____
* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...
(t^2 -2at +a^2) = (t -a)^2
Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.
_____
Comment on the question
We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...
Answers
Answer:
6.25
Step-by-step explanation:
price per ticket= 18.75/3
=6.25
Answers
P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)
How to find the probability of getting at least 2 broken cookies in a bag containing 36 cookies
To find the probability of getting at least 2 broken cookies in a bag containing 36 cookies, we need to calculate the probability of getting 2, 3, 4, ..., up to 36 broken cookies and then sum up those probabilities.
The probability of getting exactly 2 broken cookies can be calculated using the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Using the formula, we can calculate P(X = 2):
P(X = 2) = C(36, 2) * (0.03)^2 * (1 - 0.03)^(36 - 2)
Similarly, we can calculate P(X = 3), P(X = 4), and so on, up to P(X = 36).
Once we have calculated all these probabilities, we can sum them up to find the probability of getting at least 2 broken cookies:
P(at least 2 broken cookies) = P(X = 2) + P(X = 3) + P(X = 4) + ... + P(X = 36)
P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)
To calculate P(X = 0), we can use the binomial probability formula with k = 0, and for P(X = 1), we can use the formula with k = 1.
Once we have calculated P(X = 0) and P(X = 1), we can substitute them into the equation:
P(at least 2 broken cookies) = 1 - P(X = 0) - P(X = 1)
This will give us the probability of getting at least 2 broken cookies in a bag containing 36 cookies.
Learn more about probability at brainly.com/question/13604758
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Answers
Answer: 0.0221
Step-by-step explanation:
We know that the formula to find the standard deviation of the sample proportion is :
, where p = proportion of success.
n= sample size.
As per given , we have
p=0.58
n= 500
Then, the standard deviation of the sample proportion in this situation would be :
Hence, the standard deviation of the sample proportion in this situation is 0.0221 .
A. increase
B. decrease
Answers
Answer:
A increase, because less stores means more people going to the other ones, which means more money for the owners, which means if they raise the proces, people still need cloths sothey will still buy
Step-by-step explanation: