Answer:
yes that's correct I offer to factor out
Using the normal distribution, there is a 0.1894 = 18.94% probability that the sample average will exceed $75.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters for this problem are given as follows:

The probability that the sample average will exceed $75 is <u>one subtracted by the p-value of Z when X = 75,</u> hence:

By the Central Limit Theorem

Z = (75 - 70)/5.66
Z = 0.88
Z = 0.88 has a p-value of 0.8106.
1 - 0.8106 = 0.1894.
0.1894 = 18.94% probability that the sample average will exceed $75.
More can be learned about the normal distribution at brainly.com/question/28096232
#SPJ1
10 cakes can be made
Explanation:
Convert 7 1/2 to an improper fraction
15/2 divided by 3/4
Flip the second fraction and multiply instead of divide
15/2 x 4/3
multiply the tops: 15 x 4 = 60
Over the bottoms multiplied together 2x3=6
60/6=10
therefore 10 cakes can be made
Answer:
$630
Step-by-step explanation:
week 1 : $336
week 2 : $294
gross pay : $630
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT is a straight line.
(Linear pair)


...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.