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fiasKO [112]
3 years ago
10

Madison is carrying a 9.7 liter jug of sports drink that weighs 7 kg.

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

Answer: See explanation

Step-by-step explanation:

The constant multiple of liters in a jug to the weight in kilograms will be:

7 kg = 9.7 liters

1 liter = 7/9.7 kg

The number of kilograms a 48.5 liter jug of a sports drink would weigh will be:

= 7/9.7 × 48.5

= 35kg

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A construction company makes cement stairs from a wooden mold. The construction company must calculate the volume of the mold to
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Considering the volume of a rectangular prism, it is found that the volume of the wooden mold is given by:

C. 6,000 in³

<h3>What is the volume of a rectangular prism?</h3>

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh

In this problem, the wooden mold is composed by two rectangular prisms:

  • The first has dimensions of 25 in, 10 in and 12 in.
  • The second has dimensions of 20 in, 12 in and 12 in.

Hence the volume in cubic inches is given by:

V = 25(10)(12) + 20(12)(12) = 5880

Rounding, it is closest to 6000 in³, hence option C is correct.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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2 years ago
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Step-by-step explanation:

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3 years ago
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3 years ago
Read 2 more answers
Scores on the GRE.
Bogdan [553]

Answer:

Kindly check explanation

Step-by-step explanation:

Verbal:

Score, x = 560

Mean, m = 460

Standard deviation, s = 132

Quantitative :

Score, x = 740

Mean, m = 452

Standard deviation, s = 140

a)

Verbal :

X ~ N(460, 132)

Quantitative :

X ~ N(452, 140)

(b)

What is her Z score on the Verbal Reasoning section? On the Quantitative Reasoning section? Draw a standard normal distribution curve and mark these two Z scores.

Zscore = (x - m) / s

Verbal :

Zscore = (560 - 460) / 132 = 0.758

Quantitative :

Zscore = (740 - 452) /140 = 2.057

(c.)

He has a higher standardized score in the quantitative than the verbal score.

(d.)

The Zscore shows that he performed better in the quantitative reasoning than verbal.

(e) Find her percentile scores for the two exams.

(f) What percent of the test takers did better than her on the Verbal Reasoning section? On the Quantitative Reasoning section?

Verbal :

Score greater than 560

P(x > 560) :

Z = (560 - 460) / 132 = 0.758

P(Z > 0.758) = 0.22423 = 22.4%

Quantitative :

Score greater than 740

P(x > 740) :

Z = (740 - 452) / 140 = 2.057

P(Z > 0.758) = 0.0198 = 1.98%

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3 years ago
If three cards are drawn at random without replacement from a standard​ deck, find the probability that the third card is a face
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P=11/52

Do you want explanations?

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