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3 years ago

Please guys help to solve this problem

Mathematics

2 answers:

liq [111]3 years ago

6 0

9514 1404 393

Answer:

300

Step-by-step explanation:

Since nobody failed, the number who passed one or the other was 100%.

P(O + W) = P(O) +P(W) -P(O&W)

100% = 80% +70% -P(O&W)

P(O&W) = 50% = 150 students

If 150 students are 50% of the examinees, then 100% will be 300 students.

zhuklara [117]3 years ago

3 0

Answer:

hope it helps

<h3>#<em><u>CARRYONLEARNING</u></em></h3>

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What is the domain of the function shown in the graph?

masha68 [24]

Answer:

(-∞, ∞)

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

An asymptote is a line that the curve gets infinitely close to, but never touches.

The arrows on either end of a graphed curve show that the function <u>continues indefinitely</u>. Therefore, we cannot assume there is an asymptote at x = -3 as we cannot see what happens to the curve as x approaches -∞.

Therefore, the domain of the given function is unrestricted:

Solution: { x | -∞ < x < ∞ }
Interval notation: (-∞, ∞)

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1 year ago

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Write the expression x^-5 in positive exponential form <br> Answer for brainliest!

vladimir1956 [14]

It's 1/x^5

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3 years ago

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A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimat

Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

For this problem, we consider that we want it to be within 4%.

Item a:

The sample size is <u>n for which M = 0.04.</u>

There is no estimate, hence $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2$

$n = 600.25$

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is $\pi = 0.96$ , hence:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}$

$\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2$

$n = 92.2$

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to $\pi = 0.5$ , the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151

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2 years ago

If a is one-factor x, what is the other factor

NARA [144]

B-y is the another factor

5 0

3 years ago

The graph of the step function g(x) = –⌊x⌋ + 3 is shown.

Blababa [14]

Using it's concept, the domain of the function is given as follows:

{x| –2 ≤ x <= 5}

<h3>What is the domain of a function?</h3>

The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.

The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:

{x| –2 ≤ x <= 5}

More can be learned about the domain of a function at brainly.com/question/10891721

#SPJ1

3 0

1 year ago

Please guys help to solve this problem​

Please guys help to solve this problem