Answer: The length of EF=15 cm.
Step-by-step explanation:
Answer: 0.0475
Step-by-step explanation:
Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.
Given: 
The probability that a given 1-ml will contain more than 100 bacteria will be:
![P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E100%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B100-85%7D%7B9%7D%29%5C%5C%5C%5C%3DP%28Z%3E1.67%29%5C%20%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C1.67%29%5C%20%5C%20%5C%20%5BP%28Z%3Ez%29%3D1-P%28Z%3Cz%29%5D%5C%5C%5C%5C%3D1-%200.9525%3D0.0475)
∴The probability that a given 1-ml will contain more than 100 bacteria
0.0475.
Answer:
(B) The citizens of the city, because they lose help they could have used to buy a home.
Step-by-step explanation:
Nul and alternative hypotheses are:
the rate of home ownership is the same after tax cut
the rate of home ownership is increasing after tax cut
Type II error occurs when one fails to reject null hypothesis when the null hypothesis was wrong.
In this case Type II error happens when the conclusion is the rate of home ownership is not increasing after tax cut, where actually it is.
With this conclusion city council does not continue tax cut, and citizens of the city is harmed because they lose help they could have used to buy a home.
Answer:
-7x+3y+3
Step-by-step explanation:
(4-5+4)=3
(-2x-5x)=-7x
(-4y+7y)=3y