Answer:
the probability that all tomatoes are sold is 0.919 (91.9%)
Step-by-step explanation:
since the random variable X= number of tomatoes that are demanded, is normally distributed we can make the standard random variable Z such that:
Z=(X-μ)/σ = (83 - 125)/30 = -1.4
where μ= expected value of X= mean of X (since X is normally distributed) , σ=standard deviation of X
then all tomatoes are sold if the demand surpasses 83 tomatos , therefore
P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)
from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore
P(X>83) = 1- P(Z≤-1.4) = 1 - 0.081 = 0.919 (91.9%)
thus the probability that all tomatoes are sold is 0.919 (91.9%)
Answer:
Step-by-step explanation:
C.
Answer:
The required hypothesis to test is 
and 
.
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as 
. Thus the null hypotheses is shown as:
The alternative hypotheses is represents as 
. Thus the alternative hypotheses is shown as:
Hence, the required hypothesis to test is and .
Answer:
Step-by-step explanation:
so formula for the volume of a cylinder is:
(πr^2)*h
so the diameter is given to us which is
2r=10 cm
then r=5 cm
h=6 cm and r=5 cm so we just plug it in
(5^2)*6π
25*6π
150π cm^3 or approximately 471.239 cm^3
Answer:
(25)-(3)
Step-by-step explanation:
