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Cerrena [4.2K]
3 years ago
5

What would the value of X be on this one?

Mathematics
1 answer:
Tanzania [10]3 years ago
6 0

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

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
HELP PLS AND BE QUICK!!! I NEED IT SOON
enyata [817]

Answer:

.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Anmelic with Polynomials: Tutorial
adoni [48]
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3 0
3 years ago
your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. yo
Alex73 [517]

<u>A </u><u>pair of shoes</u><u> gives us</u><u> 48 </u><u>different outfits.</u>

What is a linear equation?

  • A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
  • The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear

We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3

By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible

and

If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4

By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible

hence, buying a pair of shoes gives us 48 different outfits.

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

6 0
1 year ago
Coach Smith went to the sporting goods store to get ready for tennis season. He bought 25 containers of tennis balls and 12 pack
sesenic [268]

Answer:

C

Step-by-step explanation:

143.75+ tax(7.1875)= 150.9375 <-- Tennis Ball Containers

30+ tax(1.5)= 31.5 <-- Packs of Grip Tape

150.9375+31.5= 182.4375

This can be rounded up to 182.44 (which is your final answer)

5 0
3 years ago
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