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Aneli [31]
3 years ago
8

Solve for x using cross multiplication. 3x – 5 4 x + 1 x = [?]

Mathematics
2 answers:
Alex3 years ago
7 0

Answer:

x=7

Step-by-step explanation:

3x-5/4=x+1/2

3x-5=2(x+1)

3x-5=2x+2

3x=2x+2+5

3x=2x+7

3x-2x=7

x=7

Pavlova-9 [17]3 years ago
4 0
<h2>x = 7</h2>

Step-by-step explanation:

\frac{3x - 5}{4}  =  \frac{x + 1}{2}  \\ 2(3x - 5) = 4(x + 1) \\ 6x - 10 = 4x  +  4 \\ 6x - 4x = 4 + 10 \\ 2x = 14 \\  \:  \:  \: x =  \frac{14}{2}  \\ x = 7

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The combined math and verbal scores for females taking the SAT-I test are normally distributed with a mean of 900 and a standard
Genrish500 [490]

Answer:

50% of females do not satisfy that requirement

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 900, \sigma = 200

If a college includes a minimum score of 900 among its requirements, what percentage of females do not satisfy that requirement

This is scores lower than 900, which is the pvalue of Z when X = 900.

So

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

Z = \frac{900 - 900}{200}

Z = 0

Z = 0 has a pvalue of 0.5

50% of females do not satisfy that requirement

7 0
3 years ago
How you get the answer of the question?
kozerog [31]
Least common multiple
6 0
3 years ago
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What is the approximate value of ? Round your answer to the nearest hundredth. 1.99 2.38 2.50 4.98
andrew11 [14]

Answer:

Step-by-step explanation:

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7 0
3 years ago
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The length of a rectangle is twice it’s width.The length is 12cm.Work out the area of the rectangle
aliina [53]

Answer:


Step-by-step explanation:

As with all word problems we first have to convert it to an equation or equations.

L = length of the Rectangle and W = its width

So L = 2 * W

A = area of the rectangle which is 128 cm^2

So    A = L * W = 128 cm^2

substitute 2W for L from the 1st equation to give    A = 2 * W * W = 2 * W^2 = 128 cm^2

Thus    W^2 = 64 cm^2

finally  W = 8 cm  and therefore  L = 2 * W = 16 cm

The perimeter P = 2 * (L+W) = 2* (8cm + 16cm) = 2 * 24cm = 48 cm

6 0
3 years ago
You want to retire on the equivalent of $50,000 per year in today's money. inflation is expected to be 3%. you will retire in 30
kicyunya [14]

$662.18 needs to be saved per month.

$90,000 now at 3% inflation will become 90000*1.03^30 after 30 years.

i.e.  $218,454 is required in retirement years (for 20 years)

Calculating the PV of these payments at 7% is calculated as below.

FV = 0

1/y = 7%

n=20; PMT = 218454; calculate PV = $2,314,305

Now we want to get $2,314,305 at the start of retirement by saving per year. Enter the following in the financial calculator to get the per month amount.

FV = 2314305; PV = 0; n= 12*30; 1/y = 12%/12; calculate PMT  = $662.18

So $662.18 needs to be saved per month.

Learn more about inflation here: brainly.com/question/8149429

#SPJ4

5 0
2 years ago
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