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pav-90 [236]
2 years ago
7

Garth is building a square shaped frame for a mirror. The area of the mirror is 144 square inches. How long is each side of the

frame, in inches?
Mathematics
1 answer:
Paha777 [63]2 years ago
8 0

Answer: 12 inches

Step-by-step explanation:

This is a square shaped mirror which means that it takes the shape of a square.

All sides on a square are equal and because the way the find the area of a square is to multiple the Length by the Width, you would be squaring the same number to find the area.

Length of each side = √area

= √144

= 12 inches

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249.6

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Hector gave of his money and an additional $1 to Calista. He
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How to use the numbers 4, 7, 3, and 9 to get the number 25 only using the operations multiplication, division, and addition
bearhunter [10]

Answer:

(9 x 7)/3 + 4

Step-by-step explanation:

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Appreciate answers and any help!
Savatey [412]

To find the expected value of the distribution, we multiply each outcome by it's probability. Doing this, we get that the expected value of defects on a skateboard is of \frac{4}{25}.

Outcomes and probabilities:

0 defects, 9/10 probability

1 defect, 1/20 probability

2 defects, 1/25 probability

3 defects, 1/100 probability.

Expected value:

E(X) = 0\frac{9}{10} + \frac{1}{20} + 2\frac{1}{25} + 3\frac{1}{100} = \frac{1}{20} + \frac{2}{25} + \frac{3}{100} = \frac{5 + 8 + 3}{100} = \frac{16}{100}

Dividing both numerator and denominator by 4:

\frac{4}{25}

Thus, the expected value of defects on a skateboard is of \frac{4}{25}.

A similar problem is given at: brainly.com/question/23156292.

4 0
3 years ago
Find all real zeros of f(x) = 2x^2 +5x-18 algebraically.
den301095 [7]
2x2-5x-18=0

Two solutions were found :

x = -2
x = 9/2 = 4.500
Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2x2 - 5x) - 18 = 0
Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2-5x-18

The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18

Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .

-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization

Equation at the end of step 2 :

(2x - 9) • (x + 2) = 0
Step 3 :

Theory - Roots of a product :

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.
4 0
3 years ago
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