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grandymaker [24]
3 years ago
12

How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

Mathematics
2 answers:
lys-0071 [83]3 years ago
6 0

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}

Substituting into the equation, we have;

Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}

Number \; of \; cubes = \frac {315}{32} * 64

Number \; of \; cubes = 315 * 2

Number of cubes = 630

Natasha2012 [34]3 years ago
5 0

gggggggggggggggggggggggggggg

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$1,000, 7% , 2years
Simora [160]

Answer:

$1,140, or $1,144.9

Step-by-step explanation:

70 is 7% of 1,000

70 x 2 = 140

140 + 1,000 = 1,140

Or, if you mean 7% compounded annually then....

1,070 after first year.

7% of 1,070 = 74.9

74.9 + 1,070 = 1,144.9

4 0
3 years ago
What is the answer to the question?
harina [27]
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8 0
3 years ago
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700
const2013 [10]

Answer:

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.

Step-by-step explanation:

Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams

To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.

Proof -

Given that,

In between period of 32 to 35 weeks

Mean = 2500

Standard deviation = 700

In between after a period of 40 weeks

Mean = 3100

Standard deviation = 390

Now,

For a 34-week baby,

X = 2950

For a 41-week baby,

X = 3550

Now,

Z-score = (X - mean) / Standard deviation

Now,

For a 34-week baby,

Z - score = (2950 - 2500) / 700 = 0.643

For a 41-week baby,

Z-score = (3550 - 3100) / 390 = 1.154

∴ we get

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

As 1.154 > 0.643

So,

Baby weight of 41-week is more than baby weight of 34-week in the gestation period.

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3 years ago
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nata0808 [166]

Answer:

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Step-by-step explanation:

Mrs. Cai's class's box ranges from 2 to 4, that is, her class’s upper quartile is 4.

Mr. Roland's class's box ranges from 4 to 7, that is, his class’s lower quartile 4.

7 0
3 years ago
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Troyanec [42]

Answer:

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Step-by-step explanation:

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putting the value of x in equation 1 ,

y=-4

3 0
3 years ago
Read 2 more answers
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