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Svetach [21]
3 years ago
15

PLEASE HELP!!!

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

x=6

Step-by-step explanation:

4x-4=2x+8

Get all x's to one side. Subtract 2x from both sides.

2x-4=8

Isolate x. Add 4 to both sides.

2x=12

Divide both sides by 2 to get x.

12/2=6

x=6

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To turn a decimal into a percent you move the decimal 2 spaces to which direction.
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Right

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You move the decimal to the right to make the decimal a whole number :)

Example below:

0.25

Move 2 places to the right

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Have a great day!!

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5 0
2 years ago
Read 2 more answers
Triangle ABC, with vertices A(3, 0), B(2, 4), and C(4, 2), undergoes a transformation to form triangle A′B′C′, with vertices A′(
SVEN [57.7K]

Answer:

Reflection

Step-by-step explanation:

This transformation maps the triangle on the other side of the quadrant.

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3 years ago
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The first row of seats in Section G of a baseball stadium has 5 seats . There is a total of 20 rows of seats in the section . If
RoseWind [281]

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140

Step-by-step explanation:

8 0
3 years ago
Find the a. MEAN and b. STANDARD DEVIATION for the data set. Round to two decimal places.
Dafna11 [192]

Answer:

Explained below.

Step-by-step explanation:

(10)

The data set is:

S = {124, 94, 129, 109, 114}

The mean and standard deviation are:

\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}

  =\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69

The correct option is B.

(11)

According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.

So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.

The correct option is B.

(12)

Let the score be <em>X</em>.

Given:

μ = 100

σ = 26

X=\mu-2\sigma

    =100-(2\times 26)\\=100-52\\=48

The correct option is B.

(13)

Let <em>X</em> be the prices of a certain model of new homes.

Given: X\sim  N(150000, 2300^{2})

Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:

P(147700

                                         =P(-1                                        

According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.

The correct option is D.

(14)

Compute the percentage of buyers who paid more than $154,800 as follows:

P(X>154800)=P(\frac{X-\mu}{\sigma}>\frac{154800-150000}{2400})

                                         =P(Z>2)\\=0.975\\

According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.

The correct option is D.

(15)

The <em>z</em>-score is given as follows:

z=\frac{x-\mu}{\sigma}

5 0
3 years ago
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