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LenKa [72]
3 years ago
8

Betty's grade in science class is affected by the number of missing assignments. The table below shows the science grade percent

age for a given number of missing assignments.
Number of missing assignments: 3,5,7,9
Science grade%: 80,70,60,50
The equation for the given table is y=-5x+95. If Betty is missing 15 assignments, what's the [percentage of her grade in science class?

What is the rate of change?
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

Hi!

y=-5x+95

<em>Plug in </em>15 for x

y=-5(15)+95

<em>Multiply </em>-5 <em>and </em>15

y=-75+95

<em>Add </em>-75 <em>and </em>95

y =15

-------------------------------------------------------------------------------------------------------------

Betty's percentage is 15%.

The rate of change is the amount it changes for every missing assignment, therefore it would be -5.

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Consider a data set containing the following values:
d1i1m1o1n [39]

Answer:

a. 125.0714; 11.1835.

b. 109.4375; 10.4612.

Step-by-step explanation:

Given the following data;

70, 65, 71, 78, 89, 68, 50, 75.

<em>Mean = 70.75</em>

The deviation for the mean of the data is -0.75, -5.75, 0.25,7.25,18.25,-2.75,-20.75, and 4.25.

We would then find the square of this deviation;

=(-0.75)^2+(-5.75)^2+( 0.25)^2+(7.25)^2 +(18.25)^2+(-2.75)^2+(-20.75)^2 +(4.25)^2

=0.5625+33.0625+0.0625+52.5625+333.0625+7.5625+430.5625+18.0625

= 875.5

Next is to find the population variance;

V = \frac{875.5}{8}

<em>Variance, V = 109.4375 </em>

The population standard deviation is the square root of the population variance;

Sd = \sqrt{109.4375}

<em>Standard deviation, Sd = 10.4612</em>

To find the sample variance;

V = \frac{875.5}{8-1}

V = \frac{875.5}{7}

<em>Variance, V = 125.0714</em>

The sample variance is;

Sd = \sqrt{125.0714}

<em>Standard deviation, Sd = 11.1835</em>

<em>Therefore, </em>

<em>a. The sample variance is 125.0714 and the sample standard deviation is 11.1835.</em>

<em>b. If this is a population data, the population variance is 109.4375 and the population standard deviation is 10.4612.</em>

5 0
3 years ago
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Answer:

All four Sets didn't work

Step-by-step explanation:

You should be doing hypothnose aka: a² + b² = c²

If they both equal that means they are a right triangle.

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576 + 676 = 10²

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No

Set 2:

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No

Set 4:

10² + 20² = 30²

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No

5 0
3 years ago
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