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3 years ago

7

How is the process of finding equivalent ratios like the process of finding equivalent fractions

1 answer:

MaRussiya [10]3 years ago

3 0

Ratios are fractions. Equivalent means equal, if you change one set of numbers, you have to change the second set of numbers so then that Ratio or Equivalent fraction stays equal on both sides.

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10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

Hi can you help me ? what is 0.07 ?

riadik2000 [5.3K]

Answer:

I think it's zero point zero seven.

Step-by-step explanation:

6 0

3 years ago

The perimeter of a stop sign with 8 sides of equal length is 8n. What does the variable "n" represent?

andriy [413]

The "n" in this expression will stand for the length of the sides.

Because we know there are 8 sides so 8xn will give us the perimeter.

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3 years ago

Math question thanks!

skelet666 [1.2K]

Answer:

B C and E

Step-by-step explanation:

The easiest way to know if the graph was a function is the vertical line test

If you can draw a verticle line that interests the graph two or more times it is not a function and if you can't it is a function

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3 years ago

0.83 is grearter than or less than 83/100

harkovskaia [24]

.83 is actually equal to 83/100

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3 years ago

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