Answer:
$95
Step-by-step explanation:
you had to subtract the two numbers .
Answer: B. 11%
Step-by-step explanation:
Let A = Event that students eat breakfast in the morning.
B= Event that students floss their teeth.
We are given P(A)=57%=0.57
P(B)=80%=0.80
P(A∩B) = 46% =0.46
Now, the probability that a student from this class eats break feast but does not floss their teeth :-

Hence, the probability that a student from this class eats break feast but does not floss their teeth= 11%
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given


--- Null hypothesis
---- Alternate hypothesis

Solving (a): The test statistic
This is calculated as:

So, we have:






Solving (b): The p value
This is calculated as:

So, we have:

Look up the z probability in the z score table. So, the expression becomes


Solving (c): With
, what is the conclusion based on the p value
We have:

In (b), we have:

By comparison:

i.e.

So, we fail to reject the null hypothesis.
Add all three expressions up and set them equal to 180 degrees, because there are 180 degrees in a triangle.