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irga5000 [103]
3 years ago
13

What is the volume of the right rectangular prism?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

240 is the answer

Step-by-step explanation:

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Simplify this radical. <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%7D%2084" id="TexFormula1" title="\sqrt{} 84" alt="\sqrt{} 84
igor_vitrenko [27]

Answer:

2√21

Step-by-step explanation:

\sqrt{84}\\\\\mathrm{Prime\:factorization\:of\:}84:\quad 2^2\times\:3\times\:7\\=\sqrt{2^2\times\:3\times \:7}\\\\=\sqrt{2^2}\sqrt{3\times\:7}\\\\\sqrt{2^2}=2\\\\=2\sqrt{3\times\:7}\\\\=2\sqrt{21}

5 0
3 years ago
Drag each number to the correct location on the table. Not all numbers will be used.
Airida [17]

Answer:

Complete Table:

Result of Roll ------ Frequency ------- Experimental Probability

1 --------------------------- 22 ------------------- 0.176

2 --------------------------- 13 ------------------- 0.104

3 --------------------------- 18 ------------------- 0.144

4 --------------------------- 29 ------------------- 0.232

5 --------------------------- 37 ------------------- 0.296

6 --------------------------- 6 ------------------- 0.048

Step-by-step explanation:

Required: Complete the table

The table is divided into 3:

1. Result of Roll

2. Frequency (F)

3. Experimental Probability (P)

The relationship between (2) and (3) is:

P = \frac{F}{N}

Where

N = Number of Rolls

N = 125

For Roll of Result = 2

Frequency = 13

The probability is calculated as thus:

P = \frac{13}{125}

P = 0.104

For Roll of Result = 3

Probability = 0.144

The Frequency is calculated as thus:

0.144 = \frac{F}{125}

F = 0.144 * 125

F = 18

For Roll of Result = 4

Frequency = 29

The probability is calculated as thus:

P = \frac{29}{125}

P = 0.232

For Roll of Result = 5

Probability = 0.296

The Frequency is calculated as thus:

0.296 = \frac{F}{125}

F = 0.296* 125

F = 37

For Roll of Result = 6

Frequency = 6

The probability is calculated as thus:

P = \frac{6}{125}

P = 0.048

For Roll of Result = 1.

To get the frequency; we subtract the sum of frequencies of roll of results 2 to 6 from the total number of rolls.

In other words:

Frequency of 1 = Total Rolls - (Frequency of 2 + Frequency of 3 + Frequency of 4 + Frequency of 5 + Frequency of 6)

Frequency of 1 = 125 - (13 + 18 + 29 + 37 +6)

Frequency of 1 = 125 - 103

Frequency of 1 = 22

The probability is calculated as thus:

P = \frac{F}{N}

P = \frac{22}{125}

P = 0.176

7 0
3 years ago
The City Sights tour company had the same ratio of tourists to guide on both days this weekend.On Saturday,there were 120 touris
vivado [14]

Answer: There were 6 guides on Sunday.

Step-by-step explanation:

I suppose that this is a question about equivalent ratios:

It is said that the company had the same ratio of tourists to guides on Saturday and Sunday.

RATIO OF TOURISTS TO GUIDES:

SATURDAY: 120 : 18

SUNDAY: 40 : ?

Divide 120 by 40:

120/40 = 3

Divide 18 by 3:

18/3 = 6

Therefore:

SAT: 120 : 18

SUN: 40 : 6

Check it by multiplying both numbers in the ratio 40 : 6 by 3:

40 • 3 : 6 • 3

= 120 : 18

(You get the ratio from Saturday)

Hope this helps!

8 0
3 years ago
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to d
Westkost [7]

Answer:

2.5in

Step-by-step explanation:

Given parameters;

  Base = 4.5inches

   Height = 6inches

    Area  = 21in²

Unknown:

b₂ = ?

Solution:

 Formula for finding the area of a trapezium;

         A = \frac{1}{2}(b_{1} + b_{2}  ) x h

     Input the parameters and solve for b₂;

      21  =  \frac{1}{2}(4.5+ b_{2}  ) x 6

   

       21 = 3(4.5 + b₂)

       21 = 13.5 + 3b₂

      21 - 13.5 = 3b₂

     b₂ = 2.5in

8 0
3 years ago
What is 32/100 3.6 85/29 and 56 in order from least to greatest
bearhunter [10]
32/100, 85/29, 3.6, 56
4 0
4 years ago
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