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3 years ago

Tell me everything I need to know and please work out the problems

Mathematics

1 answer:

dem82 [27]3 years ago

6 0

Answer:

You basically need to solve for m

I can try to solve it for you:

if you Multiply both sides by 3/2.

you will get 3/8 as your answer

sooooo your answer is m=3/8

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A recent survey of students at John Tukey High School revealed that

RoseWind [281]

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that 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.

18% of the students are in favor of changing the dress code.

This means that $p = 0.18$

You randomly select 15 students

This means that $n = 15$

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

$P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051$

$P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678$

$P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234$

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

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3 years ago

The value of a car after 5 years is a quantities data

Levart [38]

Answer:

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

What is 8.33% rounded to the nearest tenth of a percent

Mariana [72]

Answer:

8.30%

Step-by-step explanation:

you look at .3, which is in the tenths place. then you look to the left, if the number is 5 or higher, you round the 3 up, but if the number's lower, you erase all the numbers to the left of the place you want to round at

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3 years ago

What are the solutions to the system of equations? y=x2−5x+6 y=−4x+6

Annette [7]

Answer:

(1,2),(0,6)

Step-by-step explanation:

6 0

4 years ago

Ben is saving 1/5 of his weekly pay to buy a car. Right and solve an equation to find what weekly pay W results in savings of $6

lesya [120]

To solve this problem, all we have to do is to closely analyze the situation. Now we are given that the amount of saving per week is equivalent to one fifth (1 / 5) of Ben’s weekly pay (or weekly salary).

Now we are to find the weekly pay or weekly salary that result in weekly savings of $61.50. So we can see that actually the value of 61.50 is one fifth (1 / 5) of W, therefore:

(1/ 5) W = 61.50

W = 5 * 61.50

W = $307.5

<span>Therefore a weekly pay of $307.5 will result in a weekly savings of $61.50</span>

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4 years ago