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Rus_ich [418]
3 years ago
7

Pls help me it’s due today!!

Mathematics
1 answer:
babunello [35]3 years ago
5 0

Answer:

37.5 degrees will be angle B

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
Can u plz help me on this I’ve been stuck on it
Pavlova-9 [17]

Answer:

24 in^2

Step-by-step explanation:

Area of triangle = 1/2bh

6 x 8 = 48

48/2 = 24

8 0
4 years ago
CH 2. PPLYNOMIALS 1. The number 0 is called a​
expeople1 [14]

Step-by-step explanation:

The number 0 is called a. zero polynomial. binomial.

zigya

3 0
3 years ago
During a clearance sale, a discount of 33.3% is given on a dinner set marked at $2799. Find it's selling price
Mashcka [7]

First, convert the 33% to a real mathematical number. For percents, this is always done by dividing the 33% by 100%, or 33% / 100% = 0.330.

Second, find out what 33% of $2799 is. This is the amount of the sale discount. This is always found by mulitplying 0.330 by the item's cost $2799, like this:

0.330 x $2799 = $923.67.

So for this sale, you'll save $923.67 on this item.

This means, the cost of the item to you is

$2799 - $923.67 = $1875.33.

Alternatively, you can think about it this way. The item is 33% off. This means you'll pay 67.000% of the total cost (100% - 33% = 67.000%).

Now what's 67.000% of the total cost?

0.670 x $2799 = $1875.33.

Just like the result above, the sale price on the item is $1875.33.

Hope this helps you on your assignment! :)

4 0
4 years ago
What is the solution to the proportion? 45/n=9/11 A.n=2.2 B.n=36.8 C.n=55 D.n=90
Ostrovityanka [42]
The answer is:  [B]:  " n = 36.8 "  .
______________________________________________________
Explanation:
_________________________________________________________
45/n = 9/11 ;

11n = 9 * 45;

11n =   405;

11n / 11 = 405/11;

n = 36.8181818181818182 ----->  answer choice:  "B".
________________________________________________
8 0
4 years ago
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