Using the normal distribution, it is found that the probability is 0.16.
<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.
In this problem, the mean and the standard deviation are given by, respectively, 
.
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer:
Step-by-step explanation:
First, you need to divide everything by 6.
Then you put everything in a radical to get this:
Answer:
The answr is 102 degrees. Here's why
Step-by-step explanation:
The square means the angle is 90 degrees. Therefore, for the big triangle, we already know 2 of the degrees, 50 and 90. A triangle's degrees add up to 180. 50+90=140. 180-140=40. This means the top angle is 40. Now finding X is easy, because we already know the other 2 points in the triangle, which are 38 and 40. Add those up, you get 78. 180-78=102, your answer. The triangle is 102 degrees.
Answer:
Exact Answer is 27/16
Decimal form: 1.6875
Mixed fraction 1 11/16 I assume that's what you need.
Step-by-step explanation:
27/16
Divide 27 by 16:
1 | 6 | 2 | 7
16 goes into 27 at most one time:
| | | 1
1 | 6 | 2 | 7
| - | 1 | 6
| | 1 | 1
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | 1 | (quotient)
1 | 6 | 2 | 7 |
| - | 1 | 6 |
| | 1 | 1 | (remainder)
The quotient of 27/16 is 1 with remainder 11, so:
Answer: 1 11/16
(2s+3)(s+3)(s-3)-----------
