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3 years ago

5

Mark the angles and sides of each pair of triangles to indicate that they are congruent.

1 answer:

Tema [17]3 years ago

7 0

Hope this helps! This is how you do it.

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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

26) Jenny drove 48 mph for 65 minutes. Which is true? a. Jenny drove exactly 48 miles b. Jenny drove more than 48 miles c. Jenny

shutvik [7]

Answer:

B- Jenny must have driven more than 48 miles.

Step-by-step explanation:

If Jenny rode for 60 at 48 mph, it would be exactly 48 miles. Though there is only 60 minutes in an hour, and Jenny rode 5 minutes longer than that, her drive being 65 minutes. To find how much she rode, 5 extra minutes into an hour would divide equally into 60, resulting in 12. Divide 48 by 12, and Jenny would have driven 4 miles in the 5 minutes drive after 60 minutes.

(Jenny basically driven 52 miles in 65 minutes).

6 0

2 years ago

Plz give me the answer as the picture..

Juli2301 [7.4K]

2 is the answer!!!!!!!!!!

4 0

3 years ago

What is the quotient of the division below?<br> 9) 2599<br> 288.7<br> 288.7<br> 288.8<br> 288.8

marissa [1.9K]

Answer:

7

Step-by-step explanation:

4 0

3 years ago

Paul bought a discount card for the bus. The card allows him to buy daily bus passes for $1.70. After one month, Paul bought 12

sp2606 [1]

The answer is 20.4 you just multiply 1.70 by 12

6 0

3 years ago