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creativ13 [48]
3 years ago
6

The expression p(3-0.5x) is equivalent to the expression -24+qx. In these expressions, p and q are rational numbers. What is the

value of q?
Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime 'goes into' the original integer becomes its exponent in the final result.

In our example,

    Prime number  goes into  once.

    Prime number  goes into  once.

Step-by-step explanation:

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A statistics practitioner determined that the mean and standard deviation of a data set were 120 and 30, is respectively. What c
BartSMP [9]

Answer:

a) 68% of the observations lie between 90 and 150.

b) 95% of the observations lie between 60 and 180.

c) 99.7% of the observations lie between 30 and 210.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 120

Mean = 30

a. 90 and 150

This is within 1 standard deviation of the mean.

By the Empirical Rule, 68% of the observations lie between 90 and 150.

b. 60 and 180

This is within 2 standard deviations of the mean.

By the Empirical Rule, 95% of the observations lie between 60 and 180.

c. 30 and 210

This is within 3 standard deviations of the mean.

By the Empirical Rule, 99.7% of the observations lie between 30 and 210.

4 0
3 years ago
Which angles are linear pairs? Check all that apply.
AlexFokin [52]
Linear pairs are when 2 lines intersect, and are adjacent angles.

The measure of a straight angle is 180 degrees, so a linear pair<span> of angles must add up to 180 degrees.
</span>
I hope my answer helped!!!
6 0
3 years ago
Read 2 more answers
A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome.
Dvinal [7]
<h3>Sample space = {a,b,c,d,e,f}</h3><h3>Event space = {a,c}</h3>

We simply list all of the letters mentioned as they are the possible outcomes. We can only pick one item from the sample space. The event space is the set of outcomes where we want to happen (picking either an 'a' or 'c').

8 0
3 years ago
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HELP ME I WILL GIVE YOU BRAINLIEST AND A 5.0 REVIEW
Jlenok [28]

Answer:

Base

Step-by-step explanation:

A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

4 0
3 years ago
The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles
Mariulka [41]

Answer:

Step-by-step explanation:

volume = area of base * height = area of base * 9 = 72

-> area of base = 72/9 = 8

let a,b,c be the length of sides of isosceles right triangle base

we have a = b and a*b/2 = 8 ft2

-> a*a/2 = 8ft2

-> a*a = 16

-> a=4ft=b

have c^2 = a^2 + b^2 = 16 +16 = 32

-> c = \sqrt{32} = 5.656 ft

Since i dont know that is DF, i calculate both a,b and c

3 0
3 years ago
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