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telo118 [61]
2 years ago
8

Which inequalities would have an open circle when graphed? Check all that apply. T Less-than-or-equal-to 25 -2. 5 Less-than-or-e

qual-to m x > 5. 4 One-half less-than x x > 0.
Mathematics
1 answer:
Alexandra [31]2 years ago
4 0

The inequalities would have an open circle when graphed are as follows;

The inequality shows that it does not contain boundary point 5.

        \rm x>5.4

The inequality shows that it does not contain the boundary point 1/2.

        \rm \dfrac{1}{2}>x

The inequality shows that it does not contain the boundary point 0.

        \rm x>0

<h3>What is a circle?</h3>

A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center):

The graph will have an open circle only if it has the symbol < or > because it indicates that the boundary is not included.

  • The inequality shows that it does not contain boundary point 5.

        \rm x>5.4

  • The inequality shows that it does not contain the boundary point 1/2.

        \rm \dfrac{1}{2}>x

  • The inequality shows that it does not contain the boundary point 0.

        \rm x>0

To know more about circles click the link given below.

brainly.com/question/11833983

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12.4. Measure of Dispersion<br>2076 Q.No. 15 Find the standard deviation of: 4, 6, 8, 10, 12.​
Alenkinab [10]

Answer:

Standard deviation of given data = 3.16227

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given sample size 'n' = 5

Given data  4, 6,8,10,12

Mean = \frac{4+6+8+10+12}{5} = 8

Mean of the sample x⁻ = 8

Standard deviation of the sample

                  S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}

<u><em>Step(ii)</em></u>:-

Given data

x          :         4      6       8       10      12

x-x⁻      :      4 - 8   6-8   8-8    10-8    12-8

(x-x⁻)   :        -4      -2     0          2        4

(x-x⁻)²  :        16     4       0         4        16  

 

  S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}

  S.D = \sqrt{\frac{16+4+0+4+16}{4}}

 S.D = √10 = 3.16227

<u><em> Final answer</em></u>:-

The standard deviation = 3.16227

8 0
2 years ago
Find the value of x and the value of y for which (x,23) and (18,y) ate the points on the graph y=0.5x+15
shutvik [7]

Answer:

x=16; y=24

Step-by-step explanation:

for (x,23), 23=0.5x+15

x=16

for (18xy), y=0.5*18+15=24

8 0
3 years ago
Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest r
gladu [14]
P = $70,  p = 2.5% = 0.025
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Future value of a periodic deposit:
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A = 70 · 1.002 · ( 1.002^30 - 1 ) / ( 1.002 - 1 )
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Answer:
He will have $2.166 in 30 months.
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