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Sophie [7]
3 years ago
9

The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the form

ula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h
Mathematics
1 answer:
zalisa [80]3 years ago
8 0

Answer:

b=\dfrac{2A}{h}

Step-by-step explanation:

The formula for the area of a triangle is given by :

A=\dfrac{1}{2}bh ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

2A=bh

Now dividing both sides by h. So,

\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}

So, the correct option is (D) i.e. \dfrac{2A}{h}.

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sukhopar [10]

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

7 0
2 years ago
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How do I do this!!!!!
Readme [11.4K]

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

More can be learned about the binomial distribution at brainly.com/question/24863377

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Step-by-step explanation:

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We know that:
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2 years ago
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Answer:

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Step-by-step explanation

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