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Andrej [43]
3 years ago
11

Ms Redmond gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The gra

ph shows the times, rounded to the nearest half minute, of the first 10 monologues presented

Mathematics
2 answers:
ratelena [41]3 years ago
6 0

Answer:

The mean will decrease.

Radda [10]3 years ago
6 0

Answer:

The correct option is B.

Step-by-step explanation:

From the given dot plot we can create a frequency table.

  x                   f

 1.5                 2

  2                  1

 2.5                3

  3                  1

 3.5                2

  4                   1

This data can be written as

1.5, 1.5, 2, 2.5, 2.5, 2.5, 3, 3.5, 3.5, 4

The mean of the data is

Mean=\frac{\sum x}{n}=\frac{1.5+1.5+2+2.5+2.5+2.5+3+3.5+3.5+4}{10}=2.65

The number of terms is 10 which is an even number. So, the median of the data is

Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{5th+6th}{2}=\frac{2.5+2.5}{2}=2.5

If next student presents a monologue that is about 0.5 minutes long, then the new data is

0.5, 1.5, 1.5, 2, 2.5, 2.5, 2.5, 3, 3.5, 3.5, 4

The mean of the new data is

Mean=\frac{\sum x}{n}=\frac{0.5+1.5+1.5+2+2.5+2.5+2.5+3+3.5+3.5+4}{11}=2.4545..\approx 2.45

The number of terms is 11 which is an odd number. So, the median of the new data is

Median=(\frac{n+1}{2})th=6th=2.5

Median of given data and new data is same but the mean of new data is less than the mean of original data. It means the mean will decrease.

Therefore the correct option is B.

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Answer:

(1,3)

Step-by-step explanation:

Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.

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3 years ago
What value for C will make the expression a perfect square trinomial x2-7x+c
Tom [10]

Answer:

The value of c is 12.25

Step-by-step explanation:

we know that

A perfect square trinomial is of the form

(x-a)^{2}=x^{2}-2ax+a^{2}

In this problem we have

x^{2}-7x+c

so

equate the equations

x^{2}-7x+c=x^{2}-2ax+a^{2}

we have

the following equations

-7x=-2ax -----> equation A

and

c=a^{2} -----> equation B

<u>Solve the equation A</u>

-7x=-2ax

7=2a

a=3.5

<u>Solve the equation B</u>

c=a^{2}

c=3.5^{2}=12.25

therefore

(x-3.5)^{2}=x^{2}-7x+12.25

The value of c is 12.25

7 0
3 years ago
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The buyer for a chain of stores purchased lawn ornaments in bulk, paying $23 each. The stores will sell each lawn ornament for $
Naya [18.7K]

Answer:

The markup percentage is 61.2

Step-by-step explanation:

Given as :

The cost price of each ornaments = $23

The sell price of each ornament = $37.08

Let The markup percentage = x

<u>Now, According to question</u>

Markup percentage = \dfrac{s.p - c.p}{c.p} × 100

Or, x% = \dfrac{37.08 - 23}{23}

Or, x% = \dfrac{14.08}{23}

Or, x% = 0.612

∴ x = 0.612 × 100

I.e x = 61.2

So, The The markup percentage = x = 61.2

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3 years ago
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60! 3.4(60)=204 so the answer is 60
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A number decreased by two is at most four or at least nine
JulsSmile [24]
x-2  \leq  4

or

x-2   \geq 9
6 0
3 years ago
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