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ANTONII [103]
2 years ago
8

Simplify the expression using distribution.

Mathematics
2 answers:
Semmy [17]2 years ago
7 0

Answer:

6x+30

Step-by-step explanation:

soldi70 [24.7K]2 years ago
3 0

Answer:

6x+30

Step-by-step explanation:

Use distribution to simplify 3(2x+10). To do that, you have to multiply 3 by 2x and 3 by 10. This will look like this 3(2x)+3(10). Simplify this and get 6x+30. Therefore, 6x+30 is the correct option.

If this helps, please mark as brainliest

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M is the midpoint of LN. L has coordinates (-3,-1) and M has coordinates (0,1). Find N coordinates.
miskamm [114]
To get the coordinates, we would use the midpoint formula (google it)

(X1-X2/2 , Y1+Y2/2)

(-3+0/2 , -1+1/2)

N: (-3/2,0)
8 0
3 years ago
P=-40q+163, what is the relationship between p and q?
Alex Ar [27]
P=-40q+163 

p-163=-40q 

- \dfrac{p-163}{40}=q 

q= - \dfrac{p-163}{40}
4 0
3 years ago
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa
11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 7 parts

            r = number of success = fewer than 2

           p = probability of success which in our question is % of defective

                 parts produced by one of the machine, i.e; 19%

<em>LET X = Number of parts that are defective</em>

<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

    P(X < 2) = P(X = 0) + P(X = 1)

                  =  \binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}

                  =  1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}

                  =  <u>0.604</u>

<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>

8 0
2 years ago
PLEASE HELP ME URGENT
egoroff_w [7]

Answer:

Hello! answer: 39

Step-by-step explanation:

Formula for triangles area: base × height ÷ 2

Formula for squares area: base × height

5 × 3 = 15 15 ÷ 2 = 7.5 since there are 4 triangles that are the exact same I will just multiply by 4 so I have all the triangles so 7.5 × 4 = 30 now the square is just 3 × 3 so... 3× 3 = 9 now we add these up 30 + 9 = 39 therefore the surface area is 39

4 0
3 years ago
Read 2 more answers
I need help explain “how to find” these probabilities, thanks a lot
USPshnik [31]

answer is attached below with full explanation

3 0
3 years ago
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