Answer:
79 square inches.
Step-by-step explanation:
Mark is baking a pie that <u>has a diameter of 10 inches</u>. he wants to cover the top of the pie with a pie crust. <u>what is the area</u> of the crust that will cover the top of the pie?
Pie = circle (shape)
What is the area of a circle 10 inches in diameter? ≈ 79 square inches. and r denotes the radius. = 78.5 square inches. ≈ 79 square inches.
Using the <em>normal distribution and the central limit theorem</em>, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
- When two variables are subtracted, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances.
<h3>What is the mean and the standard error of the distribution of differences?</h3>
For each sample, they are given by:
For the distribution of differences, we have that:
The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, <u>one subtracted by the p-value of Z when X = 0</u>, hence:
By the Central Limit Theorem
has a p-value of 0.0335.
1 - 0.0335 = 0.9665.
More can be learned about the <em>normal distribution and the central limit theorem</em> at brainly.com/question/24663213
8ft by 4ft.
This is because there are 8/4 and 4/4 to make up the blueprint. Therefor you have to multiply the factor by 8 and 4.
The original price of the car before 4 years will be $23,032.
<h3>What is an exponent?</h3>
Consider the function:
y = P (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, P = original amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
A Naomi's car exponentially depreciates at a rate of 8% per year.
If Nina bought the car when it was 4 years old for $16,500.
Then the original price will be
16500 = P(0.92)⁴
16500 = 0.716P
P = $ 23,032
More about the exponent link is given below.
brainly.com/question/5497425
#SPJ1
Answer:
15
Step-by-step explanation:
