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2 years ago

A student rolls a number cube whose six faces are numbered 1 through 6.

Mathematics

2 answers:

zalisa [80]2 years ago

8 0

Answer:

Step-by-step explanation:

The <u>sample space</u> for this experiment is the set of all possible outcomes.

A student rolls a number cube whose six faces are numbered 1 through 6.

Therefore, all possible outcomes are:

rolled number 1;
rolled number 2;
rolled number 3;
rolled number 4;
rolled number 5;
rolled number 6.

Hence, the sample space is {1, 2, 3, 4, 5, 6}

Hoochie [10]2 years ago

7 0

Answer:

Answer: B

Step-by-step explanation:

I took the test and got it right. :) hope this helps!!

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What is 2 to the power of 4 over 3 equal to? (5 points)

ryzh [129]

Answer:

The answer is the option C

cube root of $16$

Step-by-step explanation:

Remember that

$a^{\frac{x}{y}} =\sqrt[y]{a^{x}}$

in this problem we have

$a^{\frac{x}{y}}=2^{\frac{4}{3}}$

therefore

$2^{\frac{4}{3}} =\sqrt[3]{2^{4}}=\sqrt[3]{16}$

4 0

2 years ago

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s

vivado [14]

Using the z-distribution, the 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so the critical value is z = 2.575.

The estimate and the sample size are given by:

$\pi = 0.36, n = 100$ .

Then the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836$

The 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0

1 year ago

What is the slope of the line through (2,-2)and(9,3)?

Arturiano [62]

Answer:

5/7

Step-by-step explanation:

y2-y1/x2 -x1

3 - (-2)/9-2

3+2/9-2

5/7

4 0

2 years ago

Read 2 more answers

If x=4 canculate the value of x2 + 2x

alexandr402 [8]

If u check your answer on google ithink u can get

6 0

3 years ago

Read 2 more answers

Which is the equation of the parabola?

Umnica [9.8K]

Answer: $y=-\dfrac{1}{8}(x - 2)^2 - 3$

<u>Step-by-step explanation:</u>

The vertex form of a parabola is: y = a(x - h)² + k where

(h, k) is the vertex
$a=\dfrac{1}{4p}$

NOTE: p is the distance from the vertex to the focus

The vertex (h, k) is (2, -3)

$p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}$

Insert those values into the vertex formula to get:

$y=-\dfrac{1}{8}(x - 2)^2 - 3$

4 0

2 years ago