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2 years ago

10

"What is the difference between a ratio and its related rate and unit rate?"

1 answer:

Vinil7 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

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A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable

Readme [11.4K]

Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution 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.

In this problem we have that:

$n = 14, p = 0.3$ .

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

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

$P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066$

$P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014$

$P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002$

$P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024$

$P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002$

$P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0$

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082$

0.0082 = 0.82% probability that he will pass

6 0

3 years ago

These are the round-trip distances that city buses traveled on different routes each month. Calculate the distance, in miles, th

prohojiy [21]

I think you have to use the distance formula

4 0

3 years ago

How do you do distributive property to write equivalent expression for the perimeter of a triangle

Karolina [17]

Answer:

Look down

Step-by-step explanation:

So, to use distributive property you have to multiply the out side to the inside.

3(9-4)=15-8

Multiply 3and nine then 4.

3+27-12=15-8

I hope this helped you

6 0

3 years ago

The graph of a linear function is shown on the grid. (-3,3.6) (5,2) What is the rate of change of y with respect to x for this f

lilavasa [31]

Answer:

rate of change = -0.32

Step-by-step explanation:

Rate of change = slope,m

$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{3.6 - 2}{ - 3 - 2} \\ m = \frac{1.6}{ - 5} \\ m = \frac{ - 0.32}{1}$

8 0

3 years ago

Read 2 more answers

What is the Value of x in the figure below in this diagram ABD ~ CAD

Sliva [168]

Answer:

Step-by-step explanation:

7 0

1 year ago