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swat32
3 years ago
15

Which division problem does the model show? 3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-

third. 3 divided by one-third = 9 3 divided by two-thirds = 9 9 divided by one-third = 3 9 divided by two-thirds = 3
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Complete Question

Which division problem does the model show? 3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third.

a) 3 divided by one-third = 9

b)3 divided by two-thirds = 9

c) 9 divided by one-third = 3

d) 9 divided by two-thirds = 3

Answer:

a) 3 divided by one-third = 9

Step-by-step explanation:

We are told in the question that:

3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third.

The division problem does the model shows from the description above is calculated as:

3 fraction bars ÷ 1/3

= 3 ÷ 1/3

= 3 × 3

= 9

Hence:

Option a) 3 divided by one-third = 9 is the correct option.

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3 years ago
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0
kolbaska11 [484]

Answer:

Q_3 = 56.45 --- The third quartile

Var = 370.18 -- Variance

Step-by-step explanation:

Given

Q_1  =  30.8 -- First quartile

Q_2 =  48.5 --- Median

\bar x = 42 --- Mean

Skp = -0.38 --- Coefficient of skewness

Solving (9): The third quartile Q_3

This is calculated from

Skp =  \frac{Q_1   + Q_3  - 2Q_2}{Q_3 - Q_1}

So, we have:

-0.38 =  \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}

Cross Multiply

-0.38 (Q_3 - 30.8)=  30.8 + Q_3- 2*48.5

Open bracket

-0.38Q_3 + 11.704=  30.8 + Q_3- 97.0

Collect like terms

-0.38Q_3 -Q_3=  30.8 - 97.0- 11.704

-1.38Q_3=  -77.904

Divide both sides -1.38

Q_3 = \frac{-77.904}{-1.38}

Q_3 = 56.45 --- approximated

Solving (b): The variance

First, calculate the standard deviation from:

3IQR  = 4SD

IQR= Q_3 - Q_1

So:

3IQR  = 4SD

3(Q_3 - Q_1) = 4SD

Make SD the subject

SD = \frac{3}{4}(Q_3 - Q_1)

SD = \frac{3}{4}(56.45 - 30.8)

SD = \frac{3}{4}*25.65

SD = \frac{3*25.65}{4}

SD = \frac{76.95}{4}

SD = 19.24

So, the variance is:

Var = SD^2

Var = 19.24^2

Var = 370.18

5 0
3 years ago
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Answer:

Uncle's earnings is $2400

Step-by-step explanation:

Represent his uncle's earnings with x

$600 less than twice what your uncle earns is represented as:

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Since, his aunt's earnings is $4200.

We have:

2x - 600 = 4200

Add 600 to both sides

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Solve for x

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5 0
4 years ago
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Answer:

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7 0
3 years ago
How long is EF?<br>a. 20<br>b. 25<br>c. 30<br>d. 35
cupoosta [38]
The correct answer is:  [D]:  " 35 ft. " .
_____________________________________________________
<u>Note</u>: 
_____________________________________________________
 " 70 ft.  ÷  2  =  35 ft. " ;  
_____________________________________________________
→  The answer is:  " 35 ft." ;  which is:  Answer choice:  [D]:  " 35 ft." . 
_____________________________________________________
5 0
3 years ago
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