1. What is the ratio of the ounces of soup to the cups of shredded cheese to the cups of pasta
in one batch of casserole? 3 to 1
2.
How much of each of these 3 ingredients would be needed to make:
a.
twice the amount of casserole?
b.
half the amount of casserole?
C
five times the amount of casserole?
d.
one-fifth the amount of casserole?
3.
What is the ratio of cups of pasta to ounces of tuna in one batch of casserole?
4
How many batches of casserole would you make if you used the following amounts of
ingredients?
a
9 cups of pasta and 18 ounces of tuna?
b.
36 ounces of tuna and 18 cups of pasta?

1.

What is the ratio of the ounces of soup to the cups of shredded cheese to the cups of pasta
in

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Ответ:

lovexoxdivap0ifhi

29.02.2020

Mathematics

Mean of given data is 16.15 and standard deviation is 3.56

Step-by-step explanation:

We have been given a data

20,16,18,14,9,20,16

We need to find the mean and standard deviation:

mean= $\frac{\text{sum of observations}}{\text{number of observations }}$

Here sum of observations are 20+16+18+14+9+20+16=113

Number of observations are 7

Substituting the values in the formula for mean we will get

$mean=\frac{113}{7 }=16.1428=16.15$

Formula for standard deviation is

$\sigma=\sqrt{\frac{\sum(x-\bar{x})^2}{n}}$

$\text{where, mean is }\bar{x}$

x are the values given for the data

n is 7 the number of observations

On substituting the values in the given formula we will get

$\sigma=\sqrt\frac{(20-16.15)^2+(16-16.15)^2+(18-16.15)^2+(14-16.15)^2+(9-16.15)^2+(20-16.15)^2+(16-16.15)^2}{7}$

After simplification we will get

$\sigma=\sqrt\frac{(3.85)^2+(-0.15)^2+(1.85)^2+(-2.15)^2+(-7.15)^2+(3.85)^2+(-0.15)^2}{7}$

After further simplification we will get

$\sigma=\sqrt\frac{(14.8225)+(.0225)+(3.4225)+(4.6225)+(51.1225)+(14.8225)+(.0225)}{7}$

$\Rightarrow \sigma=\sqrt\frac{88.8575}{7}$

$\Rightarrow \sigma=\sqrt{12.6939}=3.56$

Therefore mean of given data is 16.15 and standard deviation is 3.56

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