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Answer:
a. P=0.01222
b. P=0.98778
c. The probability of rejecting the claim is now P=0.00298.
Step-by-step explanation:
In this case, we evaluate the sampling distribution for a population proportion π=0.8 with a sample size of 25.
We need to calculate the probability of getting a sample mean below 15, which means p=15/25=0.6.
The standard deviation of the sampling distribution is:

The z value por p=0.6 is

The probability of having a sample mean less than 15 is

The probaiblity of not rejecting the claim is 1-0.01222=0.98778
If the value 15 is replaced by 14, we have a new value of p=14/25=0.56.
There will be less chances of rejecting the hypothesis.


Answer:
x - 1.7 = 14
Step-by-step explanation:
Sarah thought of a number: x
Then she subtracted 1.7 FROM it: x - 1.7
and gets an answer if 14: x - 1.7 = 14
so the equation is x - 1.7 = 14
Answer:
Step-by-step explanation:
In parallelogram, opposite sides are parallel and equal
3x + 7 = 5x -17
3x - 5x = -17 - 7
-2x = - 24
x = -24 /-2
x = 12
since we know the plumber charges $32 for one hour of work, if the plumber works
1 hour, that's 32(1)
2 hours........ 32(2)
3 hours.........32(3)
4hours...........32(4)
x hours...........32(x) => 32x.
the cost of materials is $46, so your total charge for getting the lizard out of the bathtub pipe is the hours rate plus the 46 bucks, namely 32x + 46, and incidentally we know that's $134.
![\bf 32x+46=134\implies 32x=88\implies x=\cfrac{88}{32}\implies x=\cfrac{11}{4} \\[2em] x=2\frac{3}{4}\impliedby \textit{2 hours and 45 minutes}](https://tex.z-dn.net/?f=%20%5Cbf%2032x%2B46%3D134%5Cimplies%2032x%3D88%5Cimplies%20x%3D%5Ccfrac%7B88%7D%7B32%7D%5Cimplies%20x%3D%5Ccfrac%7B11%7D%7B4%7D%20%5C%5C%5B2em%5D%20x%3D2%5Cfrac%7B3%7D%7B4%7D%5Cimpliedby%20%5Ctextit%7B2%20hours%20and%2045%20minutes%7D%20)