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emmainna [20.7K]
2 years ago
6

Find each difference and show work please !!

Mathematics
1 answer:
Ede4ka [16]2 years ago
4 0

Answer:

X-19

Step-by-step explanation:

First you need to distribute the three into the numbers in the parenthesis,

(3 * x) + (3  * -5) - (2x + 4)

That then turns into,

3x - 15 - (2x + 4)

but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)

3x - 15 + (-1 * 2x) + (-1 * 4)

that turns into,

3x - 15 - 2x -4

from here all we have to do is add like terms,

(3x - 2x) + (-15 + -4)

and that leaves us with: 1x -19 or x-19

Hope that helped :))  

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Two classrooms have a total of 45 people in them. The first class is a math class with 5 more students that the science class. H
Basile [38]

Answer:

20 students in science class, 25 in math

Step-by-step explanation:

so let 1 classroom= x

so the other classroom= x+5

if there is a total of 45 students

x+x+5=45

2x=45-5

2x=40

x=20

5 0
3 years ago
Read 2 more answers
A production process produces 2% defective parts. A sample of nine parts from the production process is selected. What is the pr
Natasha_Volkova [10]

Answer:

a. .0125

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

2% defective parts.

This means that p = 0.02

A sample of nine parts from the production process is selected.

This means that n = 9

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{9,2}.(0.02)^{2}.(0.98)^{7} = 0.0125

0.0125 = 1.25% probability that the sample contains exactly two defective parts. The correct answer is given by option a.

8 0
3 years ago
What is the distance from -7 to the 3 on a number line ?
muminat

Answer:

11 units

Step-by-step explanation:

4 0
3 years ago
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These days, with the cost of a college education it is important to be able to graduate with a bachelor's degree in 4 years. The
lorasvet [3.4K]

Answer:

Not independent

Step-by-step explanation:

This problem involves independence criteria for conditional probabilities.

The two events will be independent if P(A/B)=P(A) or P(B/A)=P(B)

Let us assumes that event A is for student attending private college and B is for student graduating in four years.

So we are given the following probabilities

P(A)=0.20

P(B)=0.55

P(B/A)=0.79

As we can see that P(B/A)≠P(B) so the events A and B are not independent.

So based on the above results we can say that "attending a private college or university" is not independent of "graduating in four years". Thus the two events "attending a private college or university" and "graduating in four years" are dependent.

8 0
3 years ago
Two or more points are ___ if they lied on the same line
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B. Collinear

Collinear means that two or more points are on the same line.
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3 years ago
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