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3 years ago

11

What is the proportion

1 answer:

Ipatiy [6.2K]3 years ago

8 0

m = 16
8 6

Cross multiply:
m * 6 = 8 * 16

Simplifying
m * 6 = 8 * 16

Reorder the terms for easier multiplication:
6m = 8 * 16

Multiply 8 * 16
6m = 128

Solving
6m = 128

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Divide each side by '6'.
m = 21.33333333

Simplifying
m = 21.33333333

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Read 2 more answers

A 400 foot rope is extended from the ground to the top of a building. The building is 35 ft tall. What is the angle made by the

velikii [3]

Answer:

The angle is $5.0^{0}$ .

Step-by-step explanation:

The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;

Sin θ = $\frac{opposite}{hypotenuse}$

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3 0

3 years ago

Determine if the events A and B are independent. Show all steps.

zmey [24]

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Answer:

$P(A U B ) = \frac{13}{25}$

Step-by-step explanation:

<u><em>STEP:-1</em></u>

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

P(A ∩B ) = P(A) P(B)

$P(A U B) = P(A) +P(B) - P(A n B )$

$P(A U B ) = P(A) +P(B) - P(A) P(B)$

<u><em>Step(iii):-</em></u>

<u><em></em></u> $P(A U B ) = \frac{2}{5} +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}$ <u><em></em></u>

<u><em></em></u> $P(A U B ) = \frac{3}{5} - \frac{2}{5} X \frac{1}{5}$ <u><em></em></u>

<u><em></em></u> $P(A U B ) = \frac{3}{5} - \frac{2}{25}$ <u><em></em></u>

<u><em></em></u> $P(A U B ) = \frac{15-2}{25} = \frac{13}{25}$ <u><em></em></u>

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4 0

3 years ago

If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are

zavuch27 [327]

Given :

Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.

To Find :

How many hours must have passed if there are 5 inches of rain .

Solution :

Let , after x hours rain accumulated is 5 inches .

We know , general equation of line :

y = mx +c

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So , equation of rain accumulated is :

$y=0.5x+1$

Now , putting value of x = 5 hours .

We get :

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Hence , this is the required solution .

7 0

3 years ago