Answer:
0.5818
Step-by-step explanation:
Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.
Answer:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

Given that:

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818
The two rational numbers between
and
is
,
<h3>How to find the rational numbers between -3/4 and -2/3?</h3>
In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).
given that -3/4 and -2/3
now take L.C.M between these two rational numbers is 12.
now multiply -3/4 with 3 both numerator and denominator

again multiply -9/12 with 4 both numerator and denominator

now multiply -2/3 with 4 both numerator and denominator

again multiply -8/12 with 4 both numerator and denominator

Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3
Learn more about rational numbers, refer:
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X is equal to 4
Because RS + ST=RT
So basically x+3x=5x-4
4x=5x-4
-4x -4x
-1x=-4
x=4
Answer: Dilation is a transformation that proportionally reduces or enlarges a figure.
Step-by-step explanation:
- A dilation a transformation that changes the size of the shape by using scale factor in particular ways .
It stretches or shrinks the actual figure. It produces similar figures.
Since the corresponding sides of similar figures are in proportion.
⇒ It proportionally reduces or enlarges a figure.
Hence, A dilation is a transformation that proportionally reduces or enlarges a figure.
8Z = 64
Divide both sides by 8.
8Z/8 = 64/8
Z = 64/8
Z = 8
Your final answer is B. 8.