The probablity that the sample's mean length is greate than 6.3 inches is0.8446.
Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event. It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
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Answer:
9 child tickets and 17 adult tickets were sold.
Step-by-step explanation:
Let the number of adult tickets sold be 
and the number of child tickets be
.
The theater sold a total number of 26 tickets.
This means that:
.....eqn1
The theater made a total sale od $194.
This implies that:
...eqn2
We make
the subject in equation 1:
...eqn3
Substitute equation (3) into equation (2)

Expand to get: 




Put c=9 into equation (3) to get:
Therefore 9 child tickets and 17 adult tickets were sold.
Correct answer is C.
Formula for the sum of interior angles of a regular polygon is

, where

is the sum of interior angles and

is the number of sides of the regular polygon. Check by substituting the given values.
The measure of an interior angle of a regular polygon is equal to

.
The equation

, where

is the measure of the interior angle of a regular polygon, must have positive integer solution for n. Check for

.
Answer:
idek tbh I'm not tht good at math