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2 years ago

Decompose 2/6 into 4 equal lengths

Mathematics

1 answer:

anyanavicka [17]2 years ago

4 0

I'm not 100% sure, but I'm pretty sure it's 1/12, 1/12, 1/12, 1/12

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18 – 12 + x = 10 What value of x makes the equation true?

drek231 [11]

Answer:

explanation:

well 18 minus 12 would equal 6. correct? so we would add x to 6 so the new equation would be 6 + x = 10 or to make it easier just do 10 - x = 6

5 0

2 years ago

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Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i

vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable X be defined as the number of students at a particular college who are smokers

The random variable X follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

$np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10$

Thus, a Normal approximation to binomial can be applied.

So,

$X\sim N(\mu=600, \sigma=\sqrt{120})$

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

= P (X > 280.50)

$=P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z$

*Use a z-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0

2 years ago

What is the sum of 3x^2÷(x-2) and x^2÷(x-2)

solniwko [45]

$3x^2\div(x-2)+x^2\div(x-2)=\dfrac{3x^2}{x-2}+\dfrac{x^2}{x-2}=\dfrac{4x^2}{x-2}$

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2 years ago

The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 ft from the base of the

Burka [1]

Answer: 315

Step-by-step explanation: hope this is right.

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3 years ago

How did the National Woman Suffrage Association (NWSA) differ from the American Woman Suffrage Association (AWSA)?

horrorfan [7]

Answer:

The National Woman Suffrage Association advocated for a range of reforms to make women equal members of society, such as the right to own property, etc. The American Woman Suffrage Association lobbied state governments to enact laws granting or expanding women's right to vote in the United States.

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2 years ago

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