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vovikov84 [41]
2 years ago
8

2(2x - 8) = x - 46 ?

Mathematics
2 answers:
True [87]2 years ago
5 0

Answer:

x = -10

Steps:

2(2x - 8) = x - 46  Multiply 2 and 2x, and multiply 2 and -8

4x - 16 = x - 46  You then have this equation

-x           -x  Subtract x from both sides

<em>Now let me stop here.  Why are we subtracting?  Because we have variables on both sides, we subtract the least number with the variable. We have 4x and we have </em>x<em>.  Now, x means 1x, and 1x is less than 4x. Therefore, we subtract 1x from both sides : 4x - 1x = 3x.</em>

3x -16 = -46  Then you get this

    +16   +16  Add 16 to both sides (if it said 3x +16 = -46, then you'd subtract)

<u>3x</u> = -<u>30</u>  You now have this

3       3  You only want x, so divide 3 from both sides

x = -10  Hope this helps!

Anna [14]2 years ago
4 0

Answer: X = -10

Step-by-step explanation:

Times two to the parentheses

Minus X from both sides, left with 3X-16=-46

Add 16 to both sides 3X=-30

Divide both sides by 3

Answer X=-10

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6 0
3 years ago
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Data are drawn from a bell-shaped distribution with a mean of 25 and a standard deviation of 4. There are 1,000 observations in
Delicious77 [7]

Answer:

a. 97.72% of the observations are less than 33

b. Approximately 977 observations are less than 33.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 25 and a standard deviation of 4.

This means that \mu = 25, \sigma = 4

a. Approximately what percentage of the observations are less than 33?

The proportion is the p-value of Z when X = 33. So

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

Z = \frac{33 - 25}{4}

Z = 2

Z = 2 has a p-value of 0.9772

0.9772*100% = 97.72%

97.72% of the observations are less than 33.

b. Approximately how many observations are less than 33?

Out of 1000:

0.9772*1000 = 977.2

Approximately 977 observations are less than 33.

6 0
2 years ago
What the answer y-8=-2 (x-7)
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The answer is:
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Remove parentheses.<span>y=−5</span><span>−5=8−<span>x
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5 0
2 years ago
Can u plz help me it’s for a test!! PLZ ANSWER 1 &amp;2
Oliga [24]

Answer:

Step-by-step explanation:

number one is 10

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7 0
2 years ago
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