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3 years ago

What percent of 28 equals 21?

1 answer:

Taya2010 [7]3 years ago

5 0

21 is to 75 as 7 is to 25 . We can now change 25 to 100 by multiplying by 4 . Therefore , on also multiplying 7 by 4: 21 is 28% of 75

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Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. Write an inequa

Setler [38]

Answer:

Total number of peanuts =n

He shared with 5 people = 6 people

Each person had at least 18

n/6>=18

Step-by-step explanation:

When question like this is given , the English is very important. He shares with his friends is different from he shares among his friends. Then also, at least means greater than or equal to.

4 0

2 years ago

Read 2 more answers

Compute the odds in favor of obtaining a number divisible by 5 in a single roll of a die.

Georgia [21]

Answer:

1/6 or 16.7% chance

Step-by-step explanation:

A die has 6 sides, and there is only one side with a number divisible by 5, which is the number 5.

So, the probability of rolling a number divisible by 5 is 1/6.

= 1/6 or 0.167

3 0

3 years ago

Read 2 more answers

For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains

AnnZ [28]

Answer:

a) There is a 9% probability that a drought lasts exactly 3 intervals.

There is an 85.5% probability that a drought lasts at most 3 intervals.

b)There is a 14.5% probability that the length of a drought exceeds its mean value by at least one standard deviation

Step-by-step explanation:

The geometric distribution is the number of failures expected before you get a success in a series of Bernoulli trials.

It has the following probability density formula:

$f(x) = (1-p)^{x}p$

In which p is the probability of a success.

The mean of the geometric distribution is given by the following formula:

$\mu = \frac{1-p}{p}$

The standard deviation of the geometric distribution is given by the following formula:

$\sigma = \sqrt{\frac{1-p}{p^{2}}$

In this problem, we have that:

$p = 0.383$

$\mu = \frac{1-p}{p} = \frac{1-0.383}{0.383} = 1.61$

$\sigma = \sqrt{\frac{1-p}{p^{2}}} = \sqrt{\frac{1-0.383}{(0.383)^{2}}} = 2.05$

(a) What is the probability that a drought lasts exactly 3 intervals?

This is $f(3)$

$f(x) = (1-p)^{x}p$

$f(3) = (1-0.383)^{3}*(0.383)$

$f(3) = 0.09$

There is a 9% probability that a drought lasts exactly 3 intervals.

At most 3 intervals?

This is $P = f(0) + f(1) + f(2) + f(3)$

$f(x) = (1-p)^{x}p$

$f(0) = (1-0.383)^{0}*(0.383) = 0.383$

$f(1) = (1-0.383)^{1}*(0.383) = 0.236$

$f(2) = (1-0.383)^{2}*(0.383) = 0.146$

Previously in this exercise, we found that $f(3) = 0.09$

$P = f(0) + f(1) + f(2) + f(3) = 0.383 + 0.236 + 0.146 + 0.09 = 0.855$

There is an 85.5% probability that a drought lasts at most 3 intervals.

(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?

This is $P(X \geq \mu+\sigma) = P(X \geq 1.61 + 2.05) = P(X \geq 3.66) = P(X \geq 4)$ .

We are working with discrete data, so 3.66 is rounded up to 4.

Either a drought lasts at least four months, or it lasts at most thee. In a), we found that the probability that it lasts at most 3 months is 0.855. The sum of these probabilities is decimal 1. So:

$P(X \leq 3) + P(X \geq 4) = 1$

$0.855 + P(X \geq 4) = 1$

$P(X \geq 4) = 0.145$

There is a 14.5% probability that the length of a drought exceeds its mean value by at least one standard deviation

8 0

3 years ago

Lexi is making an orange drink for party. She puts 4 pints of orange drink and 2 pints of water into a punch bowl. Her friend Ol

Nina [5.8K]

I think she can add 5p more of orange which is 9p and 6p more water which is 8p. I'm pretty sure this works because 9 is the next closest multiple of 3 and 8 is one number less than that. Hope this helps!

8 0

3 years ago

HELP FAST. A circle with radius of 3 cm sits inside a 8 cm x 7 cm rectangle.

defon

Answer:

27.73 cm

1. Find the area of the rectangle: 8x7=56 cm

2. Find the area of the circle: pi x 3 squared= 28.2743338....cm

3. Subtract area of the circle from the area of the rectangle: 56 - 28.27433=27.72567cm

4. Round to the nearest hundredth: 27.73 cm

4 0

3 years ago