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3 years ago

Compound inequalities

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

Thank goodness for you I do not have a credit for the math question mark so I do thank goodness for you I did not know what you did do not answer please please answer answer question answer answer me thank the answer please please answer please please thank thank goodness

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maria threw a party for the promotion she received the party cost $20 for two people if she invited 20 guest what would be the c

zhenek [66]

The total cost would be:

$20 = two people- 2*20=40$

20 = guest

20*20=

400 would be the cost

6 0

3 years ago

Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children

Shkiper50 [21]

Answer:

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is given by:

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

In this problem, we have that:

$p = 0.69$

99.5% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.9975$ , so $Z = 2.81$ .

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?

This is n when M = 0.07. So

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

$0.07 = 2.81\sqrt{\frac{0.69*0.31}{n}}$

$0.07\sqrt{n} = 1.2996$

$\sqrt{n} = \frac{1.2996}{0.07}$

$\sqrt{n} = 18.5658$

$(\sqrt{n})^{2} = (18.5658)^{2}$

$n = 345$

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

4 0

3 years ago

One integer is 5 less than another and their product is 84. Find the integers.

andrezito [222]

The first integer is going to be x and the second one is going to be y.

We now turn the clues into equations:

x = y - 5

xy = 84

The substitution method:

(y - 5)y = 84

y^2 - 5y - 84 = 0

(y+7)(y-12) = 0

y = -7, 12.

If y = -7, then x = -12.

If y = 12, then x = 7

5 0

3 years ago

You are dealt one card from a 52-card deck. Find the probability that you are dealt: a numbered card or a spade

Leto [7]

In 52-card deck there are 36 numbered card and 52/4=13 spade card
so probability that you are dealt a numbered card is 36/52 =9/13 a spade card is 13/52=1/4

8 0

3 years ago

Read 2 more answers

Data Set: {60, 30, 35, 30,25}

GrogVix [38]

30 is the correct answer

3 0

3 years ago