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2 years ago

9

The 240 ninth-graders at a high school are divided into homeroom groups of 10 or 12 students. This equation models the

1 answer:

Amiraneli [1.4K]2 years ago

5 0

Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)

The slope of the line represented by this equation is -5/6

Step-by-step explanation:

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Consider a population list x with μx=10 and SDx = 1. A second population list, y, with μy=10 and SDy=2, is added to the first li

Basile [38]

Answer:

The combined standard deviation is 1.58114.

Step-by-step explanation:

The formula to compute the combined standard deviations of two different data sets is:

$SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}$

Here $\mu_{c}$ is the combined mean given by:

$\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}$

It is provided that the sample size is same for both the data sets, i.e. $n_{X} = n_{Y}=n$

Compute the combined mean as follows:

$\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}\\=\frac{(n\times10)+(n\times10)}{n+n}}\\=\frac{20n}{2n}\\ =10$

Compute the combined standard deviation as follows:

$SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}}\\=\sqrt{\frac{(n\times1^{2})+(n\times2^{2})+(n(10-10))+(n(10-10))}{n+n}}\\=\sqrt{\frac{n+4n}{2n} } \\=\sqrt{\frac{5n}{2n} } \\=\sqrt{\frac{5}{2}} \\=1.58114$

Thus, the combined standard deviation is 1.58114.

3 0

2 years ago

How to solve cube root of 8a⁶

Elena-2011 [213]

Answer:

2 a^2

Step-by-step explanation:

cube root of 8 = 2 cube root a^6 = a^2

8 0

1 year ago

Read 2 more answers

Help!!! i don’t understand how i would be able to find rt

liq [111]

Given:

M is the mid-point of RS

N is the mid-point of ST

MN = 18.4

To find:

The length of RT.

Solution:

The reference image is attached below.

Joining mid-point M and N, we get mid-segment MN.

MN is parallel to RT.

Triangle mid-segment theorem:

If a segments joins the mid point of a two sides of triangle, then the segment is parallel to the third side and is half of that side.

$$\Rightarrow MN=\frac{1}{2} RT$

Substitute MN = 18.4

$$\Rightarrow 18.4 =\frac{1}{2} RT$

Multiply by 2 on both sides.

$$\Rightarrow 2\times 18.4 =2\times \frac{1}{2} RT$

$$\Rightarrow 36.8=RT$

The length of RT is 36.8.

5 0

2 years ago

Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint.

dimulka [17.4K]

The question is an illustration of equivalent ratios.

3 cups of dark orange require 3 ounces of yellow paint
3 cups of light orange require 19.5 ounces of yellow paint

1 cup of dark orange requires

$Red = 7oz$

$Yellow =1oz$

To make 3 cups, we simply multiply by 3, because $3 \times 1 = 3$

So, we have:

$Red = 7oz \times 3 = 21oz$

$Yellow =1oz \times 3 = 3oz$

2 cups of light orange require

$Red =3oz$

$Yellow =13$

To make 3 cups, we simply multiply by 1.5, because $2 \times 1.5 = 3$

So, we have:

$Red = 3oz \times 1.5 = 4.5oz$

$Yellow = 13oz \times 1.5 = 19.5oz$

Hence:

3 cups of dark orange require 3 ounces of yellow paint
3 cups of light orange require 19.5 ounces of yellow paint

Read more about equivalent ratios at:

brainly.com/question/18441891

5 0

2 years ago

4) Members of the school band are buying bouquets of flowers to sell at the fundraiser.

horsena [70]

Answer: Roses= 75, Sunflowers= 45

Step-by-step explanation:

Add the ratios- 5 + 3 = 8

Divide the total by the sum = 120 ÷ 8 = 15

Multiply the ratios- 5 x 15 = 75 and 5 x 3 = 45

∴ 5:3 = 75 , 45

7 0

2 years ago