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2 years ago

What is the answer to the promblem. 4 6/8- 1 1/8

Mathematics

2 answers:

saul85 [17]2 years ago

6 0

The answer is 3 5/8

melomori [17]2 years ago

3 0

Answer:4

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

2 years ago

ASAP

Semenov [28]

Answer:

6 is the answer's answer answer

8 0

3 years ago

F(x)=x^2-3x+15 find f(-8)

Vlada [557]

Answer:

103

Step-by-step explanation:

(-8)²-3(-8)+15

64+24+15

103

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1 year ago

Graph the function f(x)=(x+1)(x-2)

creativ13 [48]

F(x) = (x + 1)(x - 2)
f(x) = x(x - 2) + 1(x - 2)
f(x) = x(x) - x(2) + 1(x) - 1(2)
f(x) = x² - 2x + x - 2
f(x) = x² - x - 2

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2 years ago

1 1 2 2) Solve (3 x 4) - (24 - 18)=

navik [9.2K]

Answer:

The answer is 6 if you need an explanation I have one

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2 years ago

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