Answer: 9: c , 10: a ,11 :d 12: a
Step-by-step explanation:
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
Dividing the parallelogram in half and applying trigonometry is the easiest solution for me.
Answer:
x=-1, x=3, x=4
Step-by-step explanation:
1. Substitute 0 for f(x)
0=(x+1)(x-3)(x-4)
2. Set each set of parenthesis equal to 0
0=x+1, 0=x-3, 0=x-4
3. Solve for x
x=-1, x=3, x=4
Step-by-step explanation:
Given
Lin walks half a mile at a constant rate i.e. Lin velocity is constant. So, in the graph, it will be a straight line through the origin.
Lin is still for five minutes and after she began sprinting for the slip up to halfway i.e. Lin is accelerating or velocity is increasing for the halfway and later she started walking for the rest of the way.