Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
In this problem, we have that:

Then



The value of the test statistic is 
Answer:
<u>TO FIND :-</u>
- Length of all missing sides.
<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>
<u>SOLUTION :-</u>
1) θ = 16°
Length of side opposite to θ = 7
Hypotenuse = x


≈ 25.3
2) θ = 29°
Length of side opposite to θ = 6
Hypotenuse = x


≈ 12.3
3) θ = 30°
Length of side opposite to θ = x
Hypotenuse = 11


4) θ = 43°
Length of side adjacent to θ = x
Hypotenuse = 12


≈ 8.8
5) θ = 55°
Length of side adjacent to θ = x
Hypotenuse = 6


≈ 3.4
6) θ = 73°
Length of side adjacent to θ = 8
Hypotenuse = x


≈ 27.3
7) θ = 69°
Length of side opposite to θ = 12
Length of side adjacent to θ = x


≈ 4.6
8) θ = 20°
Length of side opposite to θ = 11
Length of side adjacent to θ = x


≈ 30.2
Answer: 2
-7 - (-9) could be visualized as -7 + 9
-7 + 9 is 2
Price before membership= price 1 = $6
price after membership = price 2 = $4
Membership price = $100
SO according to price 1 and price 2; price after membership saves up $2 for each session.
Hence to justify the price of membership number of sessions can be calculated as follows:-
$2 saved = 1 session
to make it $100 multiply both sides by 50
2×50 = 1×50
100$ saved = 50 sessions
so 50 sessions ate required to justify buying the membership.
Hope this helped :)
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Step-by-step explanation: