A number K increased by 10 is the same as 24 what’s the equation

in a game involving a pair of fair dice a player rolls the dice until he gets a sum of 7 let z equal the number of rolls it take

Anarel [89]

Answer:

z = 36 rolls , probability for getting 7 = 1/6

Step-by-step explanation:

A die has 6 possible outcomes, which sums to 36 for two dice for every value on both dice.

The outcomes for rolling both dice for 36 times gives 6 possible outcomes summing to 7, that is, (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

There the probability of getting a sum dice of 7 is:

= 6 / 36 = 1/6

8 0

2 years ago

find the surface area of the cylinder. Round your answer to the nearest tenth. radius 5cm and height 6cm

worty [1.4K]

Answer:

A≈345.58cm²

Step-by-step explanation:

Radius= 5cm and the Height= 6cm

8 0

2 years ago

A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo

oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<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 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 the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

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

4 0

2 years ago

Is 3.4 a real number

anzhelika [568]

Answer: Yes, it is a real number. 3.4 is a rational number and rational numbers are real numbers. So 3.4 is a real number.

3 0

2 years ago

Find the product of 2x^4(4x^2 + 3x + 1).

lianna [129]

We want to find the product:

$\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)$ .

By the $\text{Distributive property}$ , we distribute $2x^4$ over each of the three terms inside the parenthesis:

$\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)=2x^4\cdot4x^2+2x^4\cdot3x+2x^4\cdot1$ .

Multiplying the coefficients, and adding the exponents we get:

$8x^6+6x^5+2x^4$ .

Answer: $8x^6+6x^5+2x^4$ .

5 0

3 years ago