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3 years ago

For the pair of similar solids, find the value of the variable.

Mathematics

2 answers:

8_murik_8 [283]3 years ago

6 0

The answer would be 2 cm because you divide 15 by 6 you would get 2.5. Then divide 5 by 2.5 and you would get 2.

serg [7]3 years ago

4 0

Answer:

2cm..................

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Alika [10]

I’m guessing 27 4? I’m not sure

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3 years ago

Compute: 3/8 divided -0.25

Makovka662 [10]

Answer:

-1.5

Step-by-step explanation:

3/8 is 0.375 in decimal form

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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

I need help with question number 12. Can’t figure this answer. Tried for 1 hour.

o-na [289]

Answer:

2, 12

Step-by-step explanation:

LCM = Least common multiple

LCM of 2 and 12 is 12

2 4 6 8 10 12

LCM of 6 and 8 is 24

6 12 18 24

8 16 24

LCM of 3 and 8 is 24

3 6 9 12 15 18 21 24

LCM of 12 and 24 is 24

12 24

5 0

4 years ago

Is there more than one way to get 2/3/4/5 to the simplest form

seropon [69]

Multiply 2 and 3 also multiply 4 and 5 and then divide the products together like so 2x3 divided by 4x5 so 6 divided by 20

4 0

3 years ago