Answer:
The answers are given in the attachment
Step-by-step explanation:
The detailed step by step calculations are shown in the attachment.
I would start like this: which year was the seventh AMC 8??
the first was in 1985
The second: 1986
3: 1987
4: 1988
5: 1989
6: 1990
7: 1991
so seventh AMC 8 took place in 1991.
she was then 12, so we can subtract this age from 1991:
1991-12=1979
so she was born in 1979!
Answer:
We conclude that cheddar popcorn weighed less than 5.5 ounces.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ =5.5 ounces
Sample mean,
= 5.23 ounces
Sample size, n = 64
Alpha, α = 0.05
Sample standard deviation, σ = 0.24 ounce.
First, we design the null and the alternate hypothesis

We use One-tailed z test to perform this hypothesis.
Formula:

Putting all the values, we have

Now, 
Since,

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.
Answer:
If we look at ΔBDH, we notice that m∠BHG has to be 108 - 36 - 39 = 105°. Because x and ∠BHG are a linear pair we know that x = 180 - ∠BHG = 180 - 105 = 75°.
They're it's no equation given to try them out in