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miv72 [106K]
3 years ago
15

Problems due Monday.

Mathematics
2 answers:
Ilya [14]3 years ago
8 0
11) x = 6
12) x = 7/4
Leya [2.2K]3 years ago
5 0
11. 2<span><span><span>+6x</span>+4</span>=<span>3x+12</span></span>Step 1: Simplify both sides of the equation.<span><span><span>2+6x</span>+4</span>=<span>3x+12</span></span><span><span><span>(6x)</span>+<span>(2+4)</span></span>=<span>3x+12</span></span>(Combine Like Terms)<span><span>6x+6</span>=<span>3x+12</span></span><span><span>6x+6</span>=<span>3x+12</span></span>Step 2: Subtract 3x from both sides.<span><span><span>6x+6</span>−3x</span>=<span><span>3x+12</span>−3x</span></span><span><span>3x+6</span>=12</span>Step 3: Subtract 6 from both sides.<span><span><span>3x+6</span>−6</span>=12−6</span><span>3x=6</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=63</span>x=2Answer:x=212.−<span><span><span>5+<span>8x</span></span>+2</span>=<span><span>4x</span>+4</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>−5</span>+<span>8x</span></span>+2</span>=<span><span>4x</span>+4</span></span><span><span><span>(<span>8x</span>)</span>+<span>(<span><span>−5</span>+2</span>)</span></span>=<span><span>4x</span>+4</span></span>(Combine Like Terms)<span><span><span>8x</span>+<span>−3</span></span>=<span><span>4x</span>+4</span></span><span><span><span>8x</span>−3</span>=<span><span>4x</span>+4</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>8x</span>−3</span>−<span>4x</span></span>=<span><span><span>4x</span>+4</span>−<span>4x</span></span></span><span><span><span>4x</span>−3</span>=4</span>Step 3: Add 3 to both sides.<span><span><span><span>4x</span>−3</span>+3</span>=<span>4+3</span></span><span><span>4x</span>=7</span>Step 4: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>7/4</span></span><span>x=<span>7/4</span></span>Answer:<span>x=<span>7/4</span></span>
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There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro
elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that \mu = 20.1, \sigma = 5.1.

You scored 24 on Exam A. So

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

Z = \frac{24 - 20.1}{5.1}

Z = 0.76

The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that \mu = 1031, \sigma = 215.

You scored 1167 on Exam B, s:

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

Z = \frac{1167 - 1031}{215}

Z = 0.632

You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

3 0
4 years ago
Write a number sentence to compare 7.17 and 7.170
yulyashka [42]
Both of these values are the same, so the number sentence would state:

7.17 = 7.170

You can place any number of zeros to the very end on the right side (when there is a decimal point) without changing the value of the number.

7.1700000 = 7.17 also
5 0
4 years ago
What is the value of the expression below?
lozanna [386]

Answer:

25x10^18/4   or    6.25x10^18

Step-by-step explanation:

2.5x10^33x5x10^-15/2

12.5x10^18/2

6 0
3 years ago
ASAP!!!!!!!!!!!!
Phoenix [80]

The two transformations for fx and gx would be to shift by 6 units and also go up by 18.

<h3>What is a transformation?</h3>

This is the term that is used in mathematics to describe the manipulation of a line or a shape.

a. The possible transformations that can be gotten here would be to shift to the left by 6 units from what we have in the graph and also shift to the top by 18.

<h3>b. How to solve for K in the transformation</h3>

g of x = f(x - k) then

g(x)= f(x) + k

C. The value of k should be based on the way it changes based on the given points.

Vertically, g(x)=f(x) +18

Horizontally , g(x)=f(x-6)

Read more on transformations here:

brainly.com/question/4289712

#SPJ1

3 0
2 years ago
Amani computed in a two-way table the relative frequencies of sales of homes listed with two different real estate companies.
Advocard [28]

The answer the third option.

When you look at the data, in the first column, the frequency of sales of both are similar. Even the second column shows similar data. Association is determined if there is a significant difference between the data in each column/row depending on what you are aiming to answer.

In this case, we look at it per column because you want to compare the frequencies of sales of each company which are aligned by columns. So we know to look at the columns and not the rows.

3 0
2 years ago
Read 2 more answers
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