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2 years ago

Two number cubes are rolled.

Mathematics

2 answers:

yaroslaw [1]2 years ago

8 0

Answer:

1/4

Step-by-step explanation:

Assuming the number cube is a six-faced die, you have

1 2 3 4 5 6

three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.

So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?

You would have a 25% chance for an even and then an even number

You would have a 25% chance for an odd and then an odd number

You would have a 25% chance for an even and then an odd number

You would have a 25% chance for an odd and then an even number.

25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.

Degger [83]2 years ago

3 0

Answer:

1/4

Step-by-step explanation:

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A piece of fabric costs $5.29 a yard which is estimated cost of 16.3 yards of fabric

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Answer:

your estimate would be $86.22

Step-by-step explanation:

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3 years ago

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Find the slope of a line parallel to each given line Y equals -1÷3 X +3

g100num [7]

The answer for this will be

-1/3x+3

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3 years ago

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

So, the 95% confidence interval is (46.4, 53.6)

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

So, the 95% confidence interval is (47.9, 52.1)

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

Notice that the margin of error decreases when the sample size increases.

4 0

3 years ago

A line with a slope of 5 passes through the point (0,4). What is its equation in

mezya [45]

The equation of a line is written as y = mx + b, where m is the slope and b is the y intercept.

You are given the slope: 5

The y-intercept is the y value when x is 0, this is also the point given to you (0,4), so the y-intercept (b) is 4.

The equation is y = 5x +4

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nika2105 [10]

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Step-by-step explanation:

you do 3 / 10 then multiply by 120

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3 years ago

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