Answer:
The value of the test statistic is 
Step-by-step explanation:
The formula for the test statistic is:

In which X is the statistic,
is the mean,
is the standard deviation and n is the number of observations.
In this problem, we have that:

So



The value of the test statistic is 
Answer:
The height is 8
Step-by-step explanation:
Ratios are just fractions. That being said, you also have part of a fraction. You know that the colorado flag is in 2:3, and 12 feet long is according to that ratio; it equals each other.
Make the equation.

Now isolate x (in order to solve for it)

x= 8
The height is 8.
8/12 = 2/3 ✅
Answer:
The maximum amount of money the chemistry club can spend without going over their buget is $81.4 ... With a total of 6 hours their allowed to use the room for.
Step-by-step explanation:
$49 is our constant and will not change. 5.40 however will. Let's use variable h for the amount hours they can rent the room for. Now we can make an inequality;
49+ 5.40h < 86.80
5.40h < 86.80
5.4h< 37.8
h< 7
Now that we know h will have to be less than seven for the chemistry club to spend less than their buget we can find that 6 is the maxium amount of hours they can spend in the room while staying within their budget.
(This answer does not consider decimals or half hours)
For angle a it will be 42degrees and for angle b it will be 138degrees and i am 100%sure