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stiks02 [169]
4 years ago
5

Compute the mean, median, and mode for the following three sets of scores saved.

Mathematics
1 answer:
igor_vitrenko [27]4 years ago
8 0

Answer/Step-by-step explanation:

Score 1:

3, 7, 5, 4, 5, 6, 7, 8, 6, 5

Mean = \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6

Median: order the data from least to the greatest.

3, 4, 5, 5, 5, 6, 6, 7, 7, 8

The median is average of the fifth and sixth data value in the data set

Median = (5 + 6)/2 = 11/2 = 5.5

Mode = value with the highest frequency = 5

Score 2:

34, 54, 17, 26, 34, 25, 14, 24, 25, 23

Mean = sum of all values/10

Mean = 276/10 = 27.6

Median: order the data set from min to max.

14, 17, 23, 24, 25, 25, 26, 34, 34, 54

The median is average of the fifth and sixth data value in the data set

Median = (25 + 25)/2 = 50/2 = 25

Mode = 25 and 34 (both have frequencies of 2)

Score 3:

154, 167, 132, 145, 154, 145, 113, 156, 154, 123

Mean = sum of all values/10

Mean = 1443/10 = 144.3

Median: order the data set from min to max.

113, 123, 132, 145, 145, 154, 154, 154, 156, 167

The median is average of the fifth and sixth data value in the data set

Median = (145 + 154)/2 = 299/2 = 149.5

Mode = 154

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Write the equations after translating the graph of y = |x|: one unit up,
Tatiana [17]

Answer:

g(x) = |x| + 1

Step-by-step explanation:

Given

y = |x|

Required

Translate 1 unit up

Start by replacing y with f(x)

f(x) = |x|

To translate an the graph of an absolute function upward, you make use of the formula;

g(x) = f(x) + k

Where k is the number of units

In this case; k = 1

Hence;

g(x) = f(x) + k

Substitute k = 1

g(x) = f(x) + 1

Substitute  f(x) = |x|

g(x) = |x| + 1

<em>Hence, the resulting equation is </em>g(x) = |x| + 1<em></em>

5 0
4 years ago
Please please please need help on 3 and 4 I’m really lost on them
Alex73 [517]

Answer:

1) Option c) is correct ie., 5 real and o non-real

2) Option b) is correct ie., (4, \frac{1}{2}, \frac{1}{2}, 2,2)

Step-by-step explanation:

Given polynomial function is f(x)=x^5-3x^3-2

To find zeros equate f(x) to zero ie.,  f(x)=0

x^5-3x^3-2=0

By synthetic division

     |   1     0    -3      0      -2

-1  |   0    -1      1      2      2

     |_________________

        1      -1      -2     2      0

Therefore x=-1 is a zero

x^3-x^2-2x+2=0

      |  1    -1     -2    2

1      |  0     1     0     2

      |___________________

          1     0   -2   0

x=1 is the zero

x^2 -2 =0

x=\pm\sqrt{2}

x=\sqrt{2} and

x=\sqrt{-2}

Option c) is correct ie., 5 real and o non-real

2) Given polynomial function is f(x)=(x-4)(2x-1)^2(x-2)^2

To find zeros equate f(x) to zero ie.,  f(x)=0

                                                            (x-4)(2x-1)^2(x-2)^2=0

(x-4)=0 (or) (2x-1)^2=0 or (x-2)^2=0

Therefore x=4, x=\frac{1}{2} of multiplicity of 2 and x=2 multiplicity of 2

Option b) is correct ie., (4, \frac{1}{2}, \frac{1}{2}, 2,2)

5 0
3 years ago
7+8r+10r pls help me im failing
Umnica [9.8K]

Final Answer: 7 + 18r

Steps/Reasons/Explanation:

Question: Solve 7 + 8r + 10r.

<u>Step 1</u>: Collect like terms.

7 + (8r + 10r)

<u>Step 2</u>: Simplify.

7 + 18r

~I hope I helped you :)~

4 0
3 years ago
⅔+(-⅓)=?????????????????????​
adell [148]

Answer:

1/3

Step-by-step explanation:

2/3 - 1/3

Since the denominators are the same, we subtract the numerators

1/3

4 0
3 years ago
Read 2 more answers
A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
vovangra [49]

Answer:

You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

8 0
2 years ago
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