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3 years ago

Which scare factor was used when going from the grey triangle to the yellow triangle?

Mathematics

1 answer:

Alborosie3 years ago

6 0

Answer:

dilitation by 3

Step-by-step explanation:

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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

$n_A=6$

$\sigma_B=5$

$n_B=4$

$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$54=\sum (x_i-\overline{x}_A)^2$

Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

$\sigma^2=15.4$

Therefore, the variance of combined set is 15.4.

7 0

3 years ago

A cream is sold in a 34-gram container. The average amount of cream used per application is 1 and two ninths grams. How many app

Debora [2.8K]

Answer:

Total cream = 34g

One application = 1 8/9 =(9+8)/9 = 17/9

Total applications = total cream/one application = 34/(17/9) = 34*9/17 = 18 applications

Step-by-step explanation:

4 0

3 years ago

Someone please help me please

zaharov [31]

Graph

$-2x+y\ge-2$

Procedure

3 0

2 years ago

What is the area of the triangle?

Natalka [10]

Answer:

22.5 square units

Step-by-step explanation:

In the picture below it shows a full rectangle square unit of the right triangle.

The Full rectangle is 45 square units

Hence, if we cut the full rectangle in half it equal the right triangle.

Therefore, 45/2 = 22.5

8 0

2 years ago

Ski Mountain sells lift tickets. Ski Mountain Sale Packages Number of Lift Tickets Total Cost Package A 3 $30 Package B 5 $60 Pa

LenaWriter [7]

Answer:

Packages A and C

Step-by-step explanation:

To find the ratio between the number of lifts to the cost we first remove the $ symbol and find out how much 1 lift will cost per package.

Package A = 3 : 30

Package B = 5 : 60

Package C = 12 : 120

Package D = 16 : 120

Now let's break it down.

Package A = 30/3 = $10 per lift

Package B = 60/5 = $12 per lift

Package C = 120/12 = $10 per lift

Package D = 120/16 = 7.5 per lift

So now we are able to know which packages have the same ratio.

Package A and C cost $10 per lift.

8 0

4 years ago

Read 2 more answers