Answer:
Use the normal distribution if the population standard deviation is known.
Use the student's t distribution when the population standard deviation is unknown.
Explanation:
A mound-shaped distribution refers to the normal distribution.
A good sample size for testing against the normal distribution should be
n >= 30.
The condition for the sample size is satisfied.
However, we are not given the population standard deviation, therefore it is assumed to be unknown.
Therefore the student's t distribution should be used.

There may be an error with the first answer choice because it can't have a negative. The problem is x + 2.6 = 3.5 correct?
Hope this helps!
Answer:
(a) 17°
(b) 78°
Step-by-step explanation:
(a) sin A= 0.2896
to calculate for "A" check for sin inverse of 0.2896
A= sin^-1(0.2896) = 16.83
to the nearest degree A= 17°
(b) tan A = 4.7046
A= tan^-1(4.7046)
A = 77.99
to the nearest degree A = 78°
The spinner game is an illustration of probability, and the spinner game that is fair is (b) If you spin a number greater than 10, you win.
<h3>How to determine the fair game?</h3>
The number of sections in the spinner is given as:
n = 20
There are 10 numbers greater than 10 i.e. 11 to 2.
So, the probability that a number greater than 10 is spun is:
P = 10/20
P = 0.5
The probability that a number that is not greater than 10 is spun is calculated using the following complement rule
q = 1 - p
This gives
q = 1 - 0.5
Evaluate
q = 0.5
Notice that both probabilities are the equal
Hence, the spinner game that is fair is (b) If you spin a number greater than 10, you win.
Read more about probability at:
brainly.com/question/3581617
75% of 86ft would be 64.5
Hope this helps. :)