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Sedaia [141]
3 years ago
14

What is the mean ( average) of the data set: 3/4, 13/5 , 14/10, and 6/24?

Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0
To find the average, we need to add all the data together and then divide by the number of entries on the set (in this case 4).

To add fractions we have to find a common denominator. First we end to make sure all the fractions are reduced as far as possible.

6/24 can be reduced to 1/4.

Now we have denominators of 4, 5, and 10 to work with. All of those are factors of 20 so we will use that as the common denominator. Remember we reduced 6/24 to 1/4.

3/4 × 5/5 = 15/20
13/5 × 4/4 = 52/20
14/10 × 2/2 = 28/20
1/4 × 5/5 = 5/20

Now let's add em up...

15/20+52/20+28/20+520=100/20

100/20= 5

So that's the total of our fractions. Now divide by 4 to get the mean or average.

5/4 or 1.25

(I would keep it as a fraction since that is what we started with)

irinina [24]3 years ago
3 0
Add them all together and divide by the number of variables here there are four and the answer is 1.25 or 5/4
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3 years ago
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15. A playground sandbox is 3.5 meters wide,
kumpel [21]

Answer:

The answer is 2.625

Step-by-step explanation:

3.5×2.5=8.75

8.75×0.3=2.625

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3 years ago
The ratio of 6th graders to 7th graders in a MATHCOUNTS club is 5:4. The ratio of 8th graders to 7th graders in the same club is
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ANSWER
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Ratio of 8th graders to 7th graders = 3 : 2

Let the number of graders be 3x and 2x

Number of 8th graders = 18

So , 3x = 18

x = 18/3 = 6

Number of 7th graders = 2 × 6 = 12

Ratio of 6th graders to 7th graders = 5 : 4

Let the number of graders be 5a and 4a

Number of 7th graders = 12

So , 4a = 12

a = 12/4 = 3

Number of 6th graders = 5×3 = 15 ANS

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3 0
3 years ago
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Ryan had a balance of −$767.25 in his bank account, and Tim had a balance of −$556.75 in his bank account. Which statement expla
kipiarov [429]

Answer: -767.25<-556.75

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8 0
3 years ago
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An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0
3 years ago
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