3 years ago

What is the unit rate of 8 miles and 92 minutes?

Mathematics

1 answer:

Alinara [238K]3 years ago

5 0

11.5 minutes per mile

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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

11) Yolanda collects trading cards, and she has started her younger brothers, Xavier and Zach, collecting cards as well.

nydimaria [60]

Answer:

nfefn cjd cnd c

efnckjd sc

Step-by-step explanation:evs kd vjkdfxds

6 0

2 years ago

You had a credit card balance of $186, then you purchased books for $174. CDs for $35, and a pair of shoes for $99 with the cred

Tems11 [23]

You have $284 in your credit card balance. 186-174= 12. 99+35= 134 and then 12-134= -122. So 406-122= 284.

8 0

2 years ago

Read 2 more answers

6x+12 factorizar mediante a factor comun<br>

Art [367]

6(x+2)
you just factor 6 from the expression
hope this helps

6 0

2 years ago

Emily put toys into a square box that is 46 centimeters long. How many square centimeters is the bottom of the box?

Sedaia [141]

If the box is a square and the length of one side is 46cm, then the area of the box in square centimeters is 46 * 46 = 2116.
Final Answer:
d. 2116
Hope I helped :)

7 0

2 years ago