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2 years ago

5

It was a busy evening at the restaurant. Ron waited on 48 tables for 3 hours. Joe served 45 customers in 5 hours. Sue waited on

34 tables for 2 hours. Who had the busiest day serving the most number of customers per hour?

1 answer:

Alex Ar [27]2 years ago

7 0

Answer:

Sue

Step-by-step explanation:

34/2= 17 which is the highest out of them all.

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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.

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3 years ago

How to divide0.8 into 30

Nat2105 [25]

Answer:

pretty easy ヽ(･∀･)ﾉ

Step-by-step explanation:

When you are dividing by a decimal, you have to move the decimal to the right however many places to make it a whole number. In this case if you move the decimal 1 place to the right (that means multiplying by 10) .8 becomes 8. However many places you move the decimal, you have to do the same for the other number. In this case 30.0 becomes 300. Now the problem becomes 300 ÷ 8.

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3 years ago

Read 2 more answers

What are the factors of 150 and 40? Please help me.

posledela

Answer:

40: 1, 2, 4, 5, 8, 10, 20, 40

150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Step-by-step explanation:

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3 years ago