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3 years ago

Select all the coordinates below that are solutions to the inequality: 2x+3y<6

Mathematics

1 answer:

Gnesinka [82]3 years ago

3 0

Answer:vyyghpiutsryu[0iutry-oiytuiutrrseftyuyutrtopouyeatryyuhgfdsfzrstytyuytryrszdfkjgfdrt78lkeswr8pyrrtypoiuyukuu;kihuiihnol v bbb u oi yu yoi yoi ui yo oui oi ui ut

Step-by-step explanation:

i yu 7 78 77o7o o 7 7 7 t tii luuriit uir tru rt uiu yio

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A number cube is rolled two times. What is the probability that the sum of two numbers will be 9?

harina [27]

Total number of possible outcomes = 36
Total number of outcomes with sum 9 = 4
{3, 6} (4, 5) {5, 4} (6, 3}

P(Sum = 9) = 4/36 = 1/9

Answer: 1/9

6 0

3 years ago

ANSWER FAST PLEASE! TIMED TEST - Mark has a tarp that is 24 ft wide that he is going to fold in half to cover both sides of a te

77julia77 [94]

Answer:36

36ft for each side in the diagram.

3 0

3 years ago

A large community college has professors and lecturers. the total number of faculty is 136. The school reported that they have 6

ipn [44]

Let's come up with an equation for the numbers. We know that there are 136 faculty members, and there are 6 professors for every 11 lecturers. The equation could look something like this:

(6 * x) + (11 * x) = 136.

First, combine like terms:

6x + 11x = 136
17x = 136

Now, divide both sides by 17.

17x/17 = 136/17
x = 8.

Now, to check, plug in 8 for x in our equation:

(6 * 8) + (11 * 8) = 136
48 + (11 * 8) = 136
48 + 88 = 136

So to answer the question, they have 48 professors! :)

8 0

4 years ago

We would like to create a confidence interval.

Vlada [557]

Answer:

c.A 90% confidence level and a sample size of 300 subjects.

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 $1-\alpha$ , we have the confidence interval with a margin of error of:

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

In which

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

In this problem

The proportions are the same for all the options, so we are going to write our margins of error as functions of $\sqrt{\pi(1-\pi)}$

a.A 99% confidence level and a sample size of 50 subjects.

$n = 50$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.3642\sqrt{\pi(1-\pi)}$

b.A 90% confidence level and a sample size of 50 subjects.

$n = 50$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{50}}\sqrt{\pi(1-\pi)} = 0.2623\sqrt{\pi(1-\pi)}$

c.A 90% confidence level and a sample size of 300 subjects.

$n = 300$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{1.645}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.0950\sqrt{\pi(1-\pi)}$

This produces smallest margin of error.

d.A 99% confidence level and a sample size of 300 subjects.

$n = 300$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is

$M = z\sqrt{\frac{\pi(1-\pi)}{n}} = \frac{2.575}{\sqrt{300}}\sqrt{\pi(1-\pi)} = 0.1487\sqrt{\pi(1-\pi)}$

6 0

4 years ago

"Find the value of x. Round to the nearest tenth. Refer to the attachment below. <br> "

AlexFokin [52]

$Use\ \cos.\\\\\cos24^o=\dfrac{11}{x}\\\\\cos24^o\approx0.9135\\\\\dfrac{11}{x}\approx0.9135\ \ \ |cross\ multiply\\\\0.9135x\approx11\ \ \ \ |divide\ both\ sides\ by\ 0.9135\\\\x\approx12$

7 0

3 years ago