Answer:
y < -5
Step-by-step explanation:
-4(y+1) > 16
y+1 < -4
y < -5
"a is 4 more than b" ⇒ a = b +4
"a is 1 lesss than b" ⇒ a = b - 1
The first pair of equations is the appropriate choice.
When doing improper fractions, you're going to keep the denominator the same. For example in question number 6, there are 18 triangles filled in so the improper fraction would be 18/5. Mixed numbers consist of the number of whole numbers filled and the remainder in the fraction. Therefore number 7, mixed number is 2 3/5 and the improper fraction would be 13/5. I'll list the rest of the answers below:
8.) Mixed: 1 3/5 Improper: 8/5
9.) Mixed: 4 1/4 Improper: 17/4
10.) 5/4, 7/4
12.) 13/8, 7/4, 19/8, 5/2, 21/8
13.) 4/3, 17/9, 7/3
Note: You can simplify improper fractions, this is why you'll get different denominators on the number line questions.
4.3d+7.5=5.8d
-4.3d -4.3d
7.5=1.5d
/1.5 /1.5
5=d
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