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xxTIMURxx [149]
3 years ago
11

-6(1+7x)+7(1+6x)=-2​

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

-6(1+7x)+7(1+6x)=-2​

This is False.

Use distributive property:

-6 -42x + 7 +42x = -2

Combine like terms to get:

1 = -2

Since 1 is not -2, it is false.

You might be interested in
{ vowels in the word ALGEBRA}​
zheka24 [161]

Answer:

3 counting ALL VOWELS, or, 2 counting no double ups

Step-by-step explanation:

vowels - a, e, i, o, u

7 0
2 years ago
In the university library elevator there is a sign indicating a 16-person limit as well as a weight limit of 2750 pounds. Suppos
Alona [7]

Answer:

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

Step-by-step explanation:

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

Normal probability distribution

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}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

If n variables are added, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem:

n = 16, \mu = 160*16 = 2560, s = \sqrt{16}*27 = 108

What is the probability that the random sample of 16 people in the elevator will exceed the weight limit?

This is 1 subtracted by the pvalue of Z when X = 2750. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{2750 - 2560}{108}

Z = 1.76

Z = 1.76 has a pvalue of 0.961

1 - 0.961 = 0.039

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

7 0
3 years ago
Find the geometric mean of four and 10
lawyer [7]

The Geometric mean of 4 and 10 is 6.32

<u>Explanation:</u>

Given:

Two numbers are 4 and 10

Geometric mean, GM = ?

We know,

GM = \sqrt[n]{a_1 X a_2}

Where,

n = 2

Substituting the value we get"

GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32

Thus, the Geometric mean of 4 and 10 is 6.32

4 0
3 years ago
Your brother is twice as tall as your sister.
satela [25.4K]
What’s the question
3 0
2 years ago
Scenario for 300=60t
earnstyle [38]
Do you need to find what t is? If so, do 300 divided by 60 to get the t isolated. which is, 5.

you can check by doing 60*5 which is 300
4 0
3 years ago
Read 2 more answers
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