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geniusboy [140]
3 years ago
10

he test scores of 32 students are listed below. Construct a boxplot for the data set and include the values of the 5-number summ

ary

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

Five number summary is:

Minimum Value = 32

First Quartile = 56

Median = 69.5

Third Quartile = 80

Maximum Value = 99

Box plot is used to represented by Option C.

Step-by-step explanation:

The box plot is made up of five number summary.

The five number summary consists of:

Minimum Value

First Quartile

Median

Third Quartile

Maximum Value

So, Looking at the data set and finding five number summary,

Minimum Value = 32

First Quartile

We find median of lower half of data (i.e all data before median)

(55+57)/2 =112/2 =56

So, First Quartile = 56

Median

Mean of middle most numbers: 69+70/2 = 69.5

So, Median = 69.5

Third Quartile

We find median of upper half of data (i.e all data after median)

(79+81)/2 =160/2 =80

So, Third Quartile = 80

Maximum Number = 99

So, Five number summary is:

Minimum Value = 32

First Quartile = 56

Median = 69.5

Third Quartile = 80

Maximum Value = 99

Box plot is used to represent this five number summary.

Option C is correct.

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PIT_PIT [208]

The solution to the equation is p = 1/3 and q = undefined

<h3>How to solve the equation?</h3>

The equation is given as:

p^2 - 2qp + 1/q = (p - 1/3)

The best way to solve the above equation is by the use of a graphing calculator i.e. graphically

However, it can be solved algebraically too (to some extent)

Recall that the equation is given as:

p^2 - 2qp + 1/q = (p - 1/3)

Split the equation

So, we have

p^2 - 2qp + 1/q = 0

p - 1/3 = 0

Solve for p in p - 1/3 = 0

p = 1/3

Substitute p = 1/3  in p^2 - 2qp + 1/q = 0

So, we have

(1/3)^2 - 2q(1/3) + 1/q = 0

This gives

1/9 - 2/3q + 1/q = 0

This gives

2/3q + 1/q = -1/9

Multiply though by q

So, we have

2/3q^2 + 1 = -1/9q

Multiply through by 9

6q^2 + 9 = -q

So, we have

6q^2 + q + 9 = 0

Using the graphing calculator, we have

q = undefined

Hence. the solution to the equation is p = 1/3 and q = undefined

Read more about equations at:

brainly.com/question/13763238

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5 0
2 years ago
-2x+5=4x-7 solve for x. Show all work
Neko [114]

Answer:

2=x

Step-by-step explanation:

-2x+5=4x-7

+2x     +2x

5=6x-7

+7     +7

12=6x

/6

2=x

7 0
3 years ago
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A bag contains 22 red marbles, 8 white marbles, and 3 gray marble. You randomly pick out a marble, record its color, and put it
frez [133]

Total marbles : 33

W + G marbles : 11

Probability of picking either a W or G : 11/33

Number of W or G marbles = 11/33 × 45 = 15

4 0
3 years ago
OUCH MY BRAIN IS HURTING AFTER TRYING TO SOLVE THIS QUESTION
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4 0
3 years ago
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
Alexxandr [17]

Answer:

a) Add 4 to both sides, and then divide by 2. The solution is x=12.

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

2x-4=20

We need to determine the steps in order to solve for x.

Solving for x.

Step 1: Adding 4 both sides.

2x-4+4=20+4

2x=24

Step 2: Dividing both sides by 2.

\frac{2x}{2}=\frac{24}{2}

∴ x=12

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12

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3 years ago
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