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bezimeni [28]
3 years ago
7

a cereal box has dimensions of 2 in., 5 1/3 in., and 10 3/4 in. If the box contains 8 servings, how much volume does each servin

g take up?
Mathematics
2 answers:
zaharov [31]3 years ago
5 0

Answer:

Step-by-step explanation:

Volume is found by length multiplied by width multiplied by height. Therefore our first equation is 2 multiplied by 5 and 1/3 or 16/5 as a mixed number multiplied by 10 3/4 or 43/10 as a mixed number. This will give us the total volume. As there are 8 servings, we will need to divide by 8 or multiply by 1/8 to find the volume of each serving. The final answer is 86/25 which simplified to 3 and 11/25

Trava [24]3 years ago
4 0

Answer:

"Each serving occupies a volume of 14.33 in³ in the box of cereals."

Step-by-step explanation:

It is Given That :  

A cereal box has dimensions of 2 in., 5 1/3 in., 10 3/4 in.

(Volume = length * width * height)

Firstly, we convert each value into improper fractions.

So it'll be :

2 in. → 2/1 inches

5 1/3 in → 16/3 inches

10 3/4 in → 43/4 inches

A) Volume = 2/1 in * 16/3 in * 43/4 in = 2*16*43 / 1*3*4 = 1,376 in³ / 12 = 114.67 in³

B) 8 servings

114.67 in³ / 8 servings = 14.33 in³ per serving

So your answer will be : Each serving occupies a volume of 14.33 in³ in the box of cereals.

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Does anyone know the answer to this problem?
Mariana [72]

The regression equation is y = 16.585x - 639.769 and the linear correlation coefficient indicates a strong linear relationship

<h3>How to determine the regression equation?</h3>

To do this, we make use of a statistical calculator;

Using the statistical calculator, we have the following summary:

  • Sum of X = 554
  • Sum of Y = 4070
  • Mean X = 69.25
  • Mean Y = 508.75
  • Sum of squares (SSX) = 725.5
  • Sum of products (SP) = 12032.5
  • Correlation coefficient, r = 0.9768

The regression equation is

ŷ = bx + a

Where:

b = SP/SSX = 12032.5/725.5 = 16.58511

a = MY - bMX = 508.75 - (16.59*69.25) = -639.76912

Hence, the regression equation is y = 16.585x - 639.769

<h3>The number of cans sold at 90 degrees F</h3>

This means that"

x = 90

So, we have:

y = 16.585 * 90 - 639.769

Evaluate

y = 852.881

Approximate

y = 853

Hence, 853 cans were sold at 90 degrees F

<h3>The linear correlation coefficient</h3>

In (a), we have:

r = 0.9768

This means that the linear correlation coefficient is 0.9768

<h3>The conclusion</h3>

We have:

r = 0.9768

The above value is closer to 1 because

|r| > 0.9

i.e.

0.9768 > 0.9

Hence, the linear correlation coefficient indicates a strong linear relationship

Read more about regression at:

brainly.com/question/17844286

#SPJ1

6 0
2 years ago
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yan [13]
Like terms are when numbers with and without variables can be combined. ex: 4x+6-8x+=32
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6 0
3 years ago
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Arturiano [62]

Answer:

a

Step-by-step explanation:

easy

6 0
3 years ago
The land area of a country is about 5.0 million square​ miles, and the population is about 600 million people. What is the avera
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Answer:

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Step-by-step explanation:

Population Density is the concept of how "crowdy" a place is. The more the population density, the more crowded that place is.

The population density is found by dividing the "number of people" by the "land area" (in sq mile or sq km).

Here, it is given there are 600 million people, so

Number of People = 600,000,000

And, the land area is given as 5 million square miles, so

Land Area = 5,000,000 sq. miles

Hence,

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

Sorry for the wait

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