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Alina [70]
3 years ago
5

When Katya factored 288, she listed these factors: 1, 2, 3, 6, 8, 9, 12, 16, 18, 32, 36, 48, 72, 96, and 288. Use a factor rainb

ow to decide which three factors she missed.
Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

Please find a representation of the factor rainbow below.

The missing factors are: 4, 24, and 144

Step-by-step explanation:

The factors of a number are those numbers that can divide another number without remainder. In this case where Katya factored 288, it means she listed the numbers that can divide 288 without reminder (factors of 288). However, among the factors she listed, THREE factors are missing.

To get the missing factors, we can use a FACTOR RAINBOW, which is a display of the factors of a number in a rainbow shape. The factors are arranged from smallest to largest number in such a way that the two numbers attached to a line can be multiplied to give the original number.

From the attached factor rainbow (see attached image), it can be observed that factors:  4, 24, and 144 are missing in the list of factors Katya provided.

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ser-zykov [4K]
Here are your equations:
x and 3x
How to set up:
2(x)+ 2(3x) = 44
Simplify:
8x = 44
Divide:
x = 5.5
Plug back in to find values:
Width = 5.5
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Hope this helps!! :)
5 0
3 years ago
A Social welfare association decides to supply drinking water for the flood affected people. The drinking water is filled in a c
pickupchik [31]

Answer:

1,499 liter

Step-by-step explanation:

The rest of the question is:

each is in the shape of a cylinder of radius 21 cm and height is 50 cm.

==============================================================

The quantity of water left in the tanker after distribution

= Total quantity - Distributed quantity

Total quantity = Volume of the giving figure

                       = Volume of the cylinder + volume of 2 hemispheres

Volume of the cylinder of 4.2 m length and 1.2 m of a diameter.

L = 4.2 and radius = r = 0.5 * diameter = 0.5 * 1.2 = 0.6

Volume of cylinder = π r² L = (22/7) * 0.6² * 4.2 = 4.752 m³

Volume of 2 hemispheres = 2*0.5 * (4/3) π r³ = (4/3) * (22/7) * 0.6³

                                           =792/875 m³

Total volume = 4.752 + 792/875 = 198/35 ≈ 5.657 m³

Distributed quantity = 60 times the volume of a cylinder of radius 21 cm and height is 50 cm

Distributed quantity = 60 * π r² L = 60 * (22/7) * 21² * 50 = 4,158,000 cm³

Since 1 m³= 1,000,000 cm³

Distributed quantity = 4,158,000 cm³ = 4.158 m³

The quantity of water left in the tanker after distribution =

 = 198/35 - 4.158 ≈ 1.499 m³

Since 1 m³= 1,000 liter

The quantity of water left in the tanker after distribution =

  =  1.499 m³ = 1.499 * 1000 = 1,499 liter

7 0
4 years ago
Read 2 more answers
What expression is equivalent to: 3 (4x+10-2+3)
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Answer:

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Step-by-step explanation:

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Find the area of the polygon with the given vertices:<br> W(0,0), X(0,3), Y(-3,3), and Z(-3,0)
Ilya [14]

Answer:

9 units^{2}

Step-by-step explanation:

When you draw the graph, you find that the points make a square with a side length of 3 units long. The area would therefore be 3x3 = 9.

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New York City is one of the most expensive cities in the US for lodging. The mean hotel room rate is $244.00 per night; assume t
Illusion [34]

Answer:

22.96% probability that a hotel room costs between $250.00 and $285.00

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 244, \sigma = 55

What is the probability that a hotel room costs between $250.00 and $285.00?

This is the pvalue of Z when X = 285 subtracted by the pvalue of Z when X = 250. So

X = 285

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

Z = \frac{285 - 244}{55}

Z = 0.75

Z = 0.75 has a pvalue of 0.7734

X = 250

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

Z = \frac{250 - 244}{55}

Z = 0.11

Z = 0.11 has a pvalue of 0.5438

0.7734 - 0.5438 = 0.2296

22.96% probability that a hotel room costs between $250.00 and $285.00

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3 years ago
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