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Gnesinka [82]
3 years ago
13

A set of sweater prices are normally distributed with a mean of 58 dollars and a standard deviation of 5 dollars. What proportio

n of sweater prices are between 48.50 dollars and 60 dollars?
Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer: 0.6267

Step-by-step explanation:

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3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p
Kazeer [188]

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

D = \sqrt{L^2 + W^2}

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

brainly.com/question/17297081

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8 0
2 years ago
-45 / -5 = <br> plz can you help me
garri49 [273]
It would be 9 buddy. Negative divided by negative turns into positive. 45 divided by 5 is 9.
5 0
3 years ago
Read 2 more answers
Graph the system of inequalities y&gt; 2x-3 and 3y-x≤6
Veronika [31]
Y > 2x - 3
3y - x ≤ 6
       ↓
y = 2x - 3
3y - x = 6

    3(2x - 3) - x = 6
3(2x) - 3(3) - x = 6
        6x - 9 - x = 6
        6x - x - 9 = 6
             5x - 9 = 6
             <u>    + 9 + 9</u>
                  <u>5x</u> = <u>15</u>
                   5      5
                    x = 3
y = 2x - 3
y = 2(3) - 3
y = 6 - 3
y = 3
(x, y) = (3, 3)
4 0
3 years ago
You need to write 0.63 as a fraction. How do you choose the denominator?
Tamiku [17]
I would use 100 as the denominator because it can not be simplified as a whole number
7 0
3 years ago
Read 2 more answers
A group of students are going to attend a concert. The cost per person varies inversely and depends on the number of people atte
Anni [7]
It would be $187.50 because if you set up a proportion -----2000/75 =5000/x
The proportion shows 5000 times 75
(375000)then divide 375000 by 2000
7 0
3 years ago
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