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professor190 [17]

2 years ago

12

a coast Guard ship patrols an area of 125 square miles. the are the ship patrols is a square. about how long is each side of the

square? Round to nearest mile.

1 answer:

Salsk061 [2.6K]2 years ago

5 0

31.25 is answer , rounded answer would be 30 miles each side.

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1) If B is between A and C, AB=10 and AC=28, what is the value of BC?

Shalnov [3]

One

AB + BC = 28

AB = 10

10 + BC = 28

BC = 28 - 10

BC = 18

Two

AB + BC = AC

AB = 6x

BC = 8x

6x + 8x = 42

14x = 42

x = 42/14 = 3

Three

AB = 2x - 1

BC = 3x + 5

AB + BC = 24

2x - 1 + 3x + 5 = 24

5x + 4 = 24

5x = 24 - 4

5x = 20

x = 20/5

x = 4

AB = 2x - 1

AB = 2*4 - 1

AB = 7

3 0

2 years ago

Find the cube root of 19683 by prime factorization method. Show steps.

ANTONII [103]

Answer:

27

Step-by-step explanation:

<u>Given number:</u>

19683

<u>Prime factors of 19683:</u>

19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9

<u>Cube root:</u>

∛19683 = ∛3^9 = 3^3 = 27

3 0

2 years ago

Read 2 more answers

Emerson purchased a game that was on sale for 18% off. The sales tax in his county is 8%. Let y represent the original price of

leva [86]

Answer:

y(.82)*1.08

Step-by-step explanation:

You multiply by .82 to get the cost of the game after the discount and then by 1.08 to add the tax and total amount.

6 0

2 years ago

Read 2 more answers

Find the cube root of 8x7x9x49x3

vodka [1.7K]

Answer:

=42

Step-by-step explanation:

The expression 8×7×9×49×3 can be written in its simplest factor form as follows.

8=2³

49=7²

9=3²

Thus the expression becomes:2³×7×3²×7²×3

Combine the indices to the same base.

2³×3³×7³

Finding the cube root involves dividing the index by three.

Thus ∛(2³×3³×7³)= 2×3×7

=42

5 0

2 years ago

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all

german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.

Calculating the probability of the distribution for x:

$\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\$

The formula for calculating the mean value:

$\bold{ E(X)= x \times f(x)}$

$=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07$

$\bold{E(X^2) = x^2 \times f(x)}$

$=14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83$

use formula for calculating the Variance:

$\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}$

$= 51.83 - (5.07)^2\\\\= 51.83 - 25.70\\\\=26.13$

calculating the value of standard deivation:

Standard Deivation (SD) = $\sqrt{Variance}$

$= \sqrt{26.13} \\\\=5.111$

6 0

2 years ago