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3 years ago

12

When a number is decreased by 54%, the result is 28. What is the original number to

1 answer:

Brums [2.3K]3 years ago

6 0

Answer:

x = 60.9

Step-by-step explanation:

Let x represent the number

x - 54%x = 28

x - 0.54x = 28

0.46x = 28

Divide both sides by 0.46(coefficient of x)

x = 28/0.46

x = 60.86

to the nearest tenth

x = 60.9

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Solve for x round to the nearest tenth. Show steps!

Dvinal [7]

Answer:

$\large\boxed{x\approx56.44}$

$\large\text{It's close to 55.0}$

Step-by-step explanation:

$\tan12^o\approx0.2126\\\\\tan12^o=\dfrac{12}{x}\to\dfrac{12}{x}=0.2126\qquad\text{convert the decimal to the fraction}\\\\\dfrac{12}{x}=\dfrac{2126}{10000}\qquad\text{cross multiply}\\\\2126x=120000\qquad\text{divide both sides by 2126}\\\\x=\dfrac{120000}{2126}\\\\x\approx56.44$

8 0

3 years ago

Suppose you received a score of 95 out of 100 on exam 1 . The mean was 79 and the standard deviation was 8 . If your score on ex

Schach [20]

Answer:

You did the same on both exams.

Step-by-step explanation:

To compare both the scores, we need to compute the z scores of both the exams and then compare the values. The formula for z-score is:

<u>Z = (X - μ)/σ</u>

Where X = score obtained

μ = mean score

σ = standard deviation

For Exam 1:

Z = (95 - 79)/8

= 16/8

<u>Z = 2</u>

For Exam 2:

Z = (90 - 60)/15

= 30/15

<u>Z = 2</u>

<u>The z-scores for both the tests are same hence the third option is correct i.e. </u><u>you did the same on both exams.</u>

8 0

2 years ago

Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.

andrew-mc [135]

Answer:

<h2> $\frac{1}{2}$ </h2>

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

$\frac{y2 - y1}{x2 - x1}$

$\frac{4 - 1}{2 - ( - 4)}$

$\frac{3}{2 + 4}$

$\frac{3}{6}$

$\frac{1}{2}$

Hope this helps...

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