Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.
<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
.
For this problem, the parameters are given as follows:

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:
X = 16:

By the Central Limit Theorem


Z = 2.11
Z = 2.11 has a p-value of 0.9826.
X = 15:


Z = 0
Z = 0 has a p-value of 0.5.
0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.
More can be learned about the normal distribution at brainly.com/question/15181104
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Answer:
27.73 cm squared
Step-by-step explanation:
In order to find the shaded region, we need to find the areas of the circle and the rectangle and then subtract the circle area from the rectangle area.
The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 7 and the width is w = 8. Plug these in:
A = lw
A = 7 * 8 = 56 cm squared
The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:
A = πr²
A = π * 3² = 9π ≈ 28.27 cm squared
Now subtract 28.27 from 56:
56 - 28.27 = 27.73
The answer is thus 27.73 cm squared.
Answer:
127
Step-by-step explanation:
The angles add up to 180° since they are on a straight line. Find 3x - 5.
3x - 5 + x + 1 = 180
4x - 4 = 180
4x = 180 - 4
= 176
x = 176 ÷ 4
x = 44
3x - 5 = 3(44) - 5
= 132 - 5
= 127
Answer: 4x +5
Step-by-step explanation:
Answer:
30x-5
Step-by-step explanation:
25-5=20
20-5=15
-5 -10 -15 -20 -25
25 20 15 10 5
I hope that helped you