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
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Answer
80!!!
Step-by-step explanation:
the answer is 80
Answer:
The area covered by the planters is 113.6 square inches.
Step-by-step explanation:
Assuming that the dimmensions of the greenhouse are 4 1/4 by 1 2/3 inches. We first need to convert them from mixed fractions to normal fractions, we do that by summing the integer part to the fraction one. We have:
length = 4 + 1/4 = 16/4 + 1/4 = 17/4 inches
width = 1 + 2/3 = 3/3 + 2/3 = 5/3 inches
The area of the greenhouse is given by:
area = length*width
area = (17/4)*(5/3) = 85/12 = 7.1 square inches
Since there is an array of 4x4 there is a total of 16 greenhouses and it's total area is 16*7.1 = 113.6 square inches
Answer:
2kx+4y=20 ⇒ kx+2y=10
3x+6y=30 ⇒ x+2y= 10
k is the coefficient of x, so it is the slope of the line
- when k=1, both equations will be same, then there are many solutions
- when k=0 there is one solution
- when k is anything different, then the lines will be parallel, so no solutions
Answer: The answer is -24 if you start at 0 points
Step-by-step explanation:
3 x 8 = 24 if it starts at zero put a negative symbol (-) to 24.
