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Varvara68 [4.7K]

2 years ago

12

Help me, please! i need to understand all spams with be reported

1 answer:

ArbitrLikvidat [17]2 years ago

3 0

Answer:

The scale factor is 2.5

Step-by-step explanation:

I hope this helps -w-

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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

Hey can you please help me posted picture of question

larisa [96]

$(5x - 2)^2 = 15$

Square root both sides:
$5x - 2 = \pm\sqrt{15}$

Add 2 to both sides:
$5x = pm\sqrt{15} + 2$

Divide both sides by 5:
$x = \dfrac{ \pm\sqrt{15} + 2}{5}$

Answers:
$x = \dfrac{ \sqrt{15} + 2}{5} \ or \ \dfrac{ - \sqrt{15} + 2}{5}$

Answer: (B) and (E)

5 0

2 years ago

Read 2 more answers

What is the answer to2x-3=9-4x

Oliga [24]

I don't know if you need to solve the x but that what are going to do

Answer: 13/6

Step-by-step explanation:

2x - 3 = 9-4x

2x + 4x = 9 + 4

6x = 13

X= 13/6

Or

X= 2.16

8 0

2 years ago

Please help me, i promise its worth it!!!

Rashid [163]

$\\ \sf\longmapsto 2(L+B)=55$

$\\ \sf\longmapsto 2(\dfrac{4}{3}x+x)=55$

$\\ \sf\longmapsto \dfrac{8}{3}x+2x=55$

$\\ \sf\longmapsto \dfrac{8x+6x}{3}=55$

$\\ \sf\longmapsto \dfrac{14x}{3}=55$

$\\ \sf\longmapsto 14x=165$

$\\ \sf\longmapsto x=11.78$

$\\ \sf\longmapsto x\approx 12$

Now

B=x=12
L=4/3(12)=4(4)=16

5 0

2 years ago

Read 2 more answers

PLEASE ANSWER THEMM!!!!

natita [175]

Answer:

a.) b⁷÷b⁴

= <u>b⁷</u>

b⁴

= b^7-4

= b³

b.) <u>x </u><u> </u><u>×</u><u> </u><u> </u><u>x⁵</u>

x² × x

= <u>x</u><u>^</u><u>1+</u><u>5</u>

x^2+1

= <u>x⁶</u>

x³

= x^6-3

= x³

5 0

2 years ago