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almond37 [142]
2 years ago
15

You have a rectangular prism as shown below. Its height is 7 cm, its width is 4 cm, the length is 3 cm. How would we calculate t

his volume?

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
3 0

9514 1404 393

Answer:

  84 cm³

Step-by-step explanation:

There are formulas for the volumes of simple geometric solids: prism, cylinder, pyramid, cone, frustum of a pyramid or cone.

The formula for the volume of a rectangular prism is ...

  V = LWH . . . . . product of Length, Width, and Height

Put the numbers in place of the corresponding variables and do the arithmetic.

  V = (3 cm)(4 cm)(7 cm) = 84 cm³

The volume of this rectangular prism is 84 cubic centimeters.

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If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less
Wittaler [7]

Answer:

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N(489,6)

This means that \mu = 489, \sigma = 6

What is the probability that the box will contain less than the advertised weight of 466 g?

This is the p-value of Z when X = 466. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{466 - 489}{6}

Z = -3.83

Z = -3.83 has a p-value of 0.000064

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

3 0
2 years ago
-5x^2+17x + -x^2+17 sum
Firdavs [7]

I think -6x^2+17x+17 Hope it helps

4 0
3 years ago
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Artyom0805 [142]

Answer:

expression:  (30/t) - 10

evaluation:  30/2 - 10 = 5

Step-by-step explanation:

8 0
3 years ago
GH =*<br> Help I’m trying to Gh, I need help bad
evablogger [386]

Answer:

11

Step-by-step explanation:

I just assumed D is the midpoint; and if D is the midpoint,

GD=DH, GD+DH=GH

5.5+5.5=11

4 0
3 years ago
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