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Vika [28.1K]
3 years ago
9

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

d spent $7.50 on a ticket. How much money did each boy have left after buying his ticket? Write an equation that represents the situation.
Mathematics
1 answer:
ohaa [14]3 years ago
6 0
7.50*4=30
40*4=160
160-30=130
130\4=32.5
so each boy has left 32.5 with him
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Which could be the function?
sladkih [1.3K]

Answer:

f(x)=(x-4)^{2}

Step-by-step explanation:

we have that

The axis of symmetry shown in the graph is x=4

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

<em>Verify each case</em>

<em>case a)</em> we have

f(x)=(x+4)^{2}

The vertex is the point (-4,0)

therefore

Cannot be the function

<em>case b)</em> we have

f(x)=x^{2}+4

The vertex is the point (0,4)

The axis of symmetry is x=0

therefore

Cannot be the function

<em>case c)</em> we have

f(x)=(x-4)^{2}

The vertex is the point (4,0)

The axis of symmetry is x=4

therefore

Could be the function

<em>case d)</em> we have

f(x)=x^{2}-4

The vertex is the point (0,-4)

The axis of symmetry is x=0

therefore

Cannot be the function

8 0
3 years ago
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Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest t
vitfil [10]

Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.

Explanation:

The given data is 900, 35, 500 and 300.

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Formula of mean is,

\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}

\bar{X}=\frac{900+35+50+300}{4} =433.75

The formula of variance is given below,

\sigma^2=\frac{1}{n}\sum{(X-\bar{X})^2}

\sigma^2=\frac{398668.75}{4}

\sigma^2=99667.19

The variance of the data is 99667.19

\sigma=\sqrt{99667.19}

\sigma=315.7011

The standard deviation of the data is 315.7011.

The other information or values of given chart is shown in the attached table.

8 0
3 years ago
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Marina CMI [18]

Answer: 0.0000805

Step-by-step explanation:

You move the decimal 5 places to the left of 8.05.

6 0
3 years ago
Question of
3241004551 [841]

Answer:

3 < x < 17

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

10 - 7 < x < 10 + 7

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6 0
2 years ago
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Answer:

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