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3 years ago

Describe the steps you would use to solve this equation: 3a + 3 - 6a = 15. Include your answer in the description.

Mathematics

2 answers:

qaws [65]3 years ago

7 0

Answer:

a=2

Step-by-step explanation:

3a + 3 - 6a = 15

combine like terms: 3a +6a

9a + 3 = 15

add 3 to 15

9a = 18

divide 9 from 18

a = 2

plug it into the equation to check for errors!

3 (2) + 3 - 6 (2) = 15

3 (2) = 6 -6 (2) = -12

6 + 3 - 12 = 15

3 - 12 = 9

9 + 6 = 15

Hope this helps! ❤

djverab [1.8K]3 years ago

4 0

The answer is -4. I don’t have an explanation though because I used the calculator.

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AVprozaik [17]

Answer:

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To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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Percentage of parts with weights exceeding 45g?

1 subtracted by the pvalue of Z when X = 45. So

We have $\mu = 43, \sigma = 4$

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$Z = \frac{45 - 43}{4}$

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If you slect 16 parts at random form that batch, what is the probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g?

This is P(X = 8) when n = 16, p = 0.3075. So

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

$P(X = 8) = C_{16,8}.(0.3075)^{8}.(0.6915)^{8} = 0.0544$

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