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3 years ago

Reagan jars 6 liters of jam every day. How much jam did Reagan jar if she spent 3 days making jam?

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

She spent 18 liters of jam!

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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

7+ (-2)+9+(-5) <br> What is the toatal I need show work due at 11

Tasya [4]

Answer:

megl;r g;rmbr

Step-by-step explanation:

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3 years ago

Find two consecutive whole numbers that 33 lies between

Katen [24]

32 and 34? does it specify whether they're consecutive odd or even numbers?

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3 years ago

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What is 5/9 in a decimals

NeTakaya

The answer would be, 0.55555555556

hope this helps :-)

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3 years ago

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Find x show ur work !!

Elis [28]

Answer:

x = 10

Step-by-step explanation:

A triangle's angles add up to 180 degrees, so 180-90 (the right angle) is 90 degrees. That means that

4x+6+3x+14 = 90. Then we simplify so

7x + 20 = 90. Then we can subtract 20 from each side so

7x = 70. Then, we find that

x = 10.

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