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3 years ago

PLS HELP DUE TODAY SO I CAN GET A 100%

Mathematics

2 answers:

matrenka [14]3 years ago

7 0

Step-by-step explanation:

½(4a-6)=a+5

2a-3=a+5

2a-a=5+3

a=8

Ivanshal [37]3 years ago

6 0

Answer:

Step-by-step explanation:

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Scores on a test are normally distributed with a mean of 81.2 and a standard deviation of 3.6. What is the probability of a rand

Misha Larkins [42]

Answer:

The probability of a randomly selected student scoring in between 77.6 and 88.4 is 0.8185.

Solution:

Given, Scores on a test are normally distributed with a mean of 81.2

And a standard deviation of 3.6.

We have to find What is the probability of a randomly selected student scoring between 77.6 and 88.4?

For that we are going to subtract probability of getting more than 88.4 from probability of getting more than 77.6

Now probability of getting more than 88.4 = 1 - area of z – score of 88.4

$\mathrm{Now}, \mathrm{z}-\mathrm{score}=\frac{88.4-\mathrm{mean}}{\text {standard deviation}}=\frac{88.4-81.2}{3.6}=\frac{7.2}{3.6}=2$

So, probability of getting more than 88.4 = 1 – area of z- score(2)

= 1 – 0.9772 [using z table values]

= 0.0228.

Now probability of getting more than 77.6 = 1 - area of z – score of 77.6

$\mathrm{Now}, \mathrm{z}-\text { score }=\frac{77.6-\text { mean }}{\text { standard deviation }}=\frac{77.6-81.2}{3.6}=\frac{-3.6}{3.6}=-1$

So, probability of getting more than 77.6 = 1 – area of z- score(-1)

= 1 – 0.1587 [Using z table values]

= 0.8413

Now, probability of getting in between 77.6 and 88.4 = 0.8413 – 0.0228 = 0.8185

Hence, the probability of a randomly selected student getting in between 77.6 and 88.4 is 0.8185.

4 0

3 years ago

(5x+20) degrees plus 70 degrees what is x

andre [41]

Answer:

Do you mean 5x+20=70?

If so (Under)

Step-by-step explanation:

5x+20=70

5x=50

x=10

7 0

2 years ago

Norma and Albert both clean pools. Each charges a flat fee to clean a pool. Norma cleans 12 pools in 8 hours and earns $270. Alb

Novosadov [1.4K]

Answer:

1.5 per hour : 1.2 per hour

Step-by-step explanation:

The computation of the ratio is shown below:

For norma, the one pool would be

= 12 pools ÷ 8 hours

= 1.5 per hour

And for albert, the one pool would be

= 9 pools ÷ 7.5 hours

= 1.2 per hour

So the ratio between them is

1.5 per hour : 1.2 per hour

4 0

3 years ago

What is the average (or mean) of the following numbers: 12, 28, 15, 25, 20 *

Lerok [7]

It’ll be 20.

12+28+15+25+20=100

100/5= 20

Add all the numbers and then divide by the total amount of numbers there and that’s your answer

8 0

3 years ago

What is the distance of the line? Remember the distance formula is (23 - 23) + (42 -

vivado [14]

Answer:

The distance of the line is 10.82

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The graph clearly shows the points (-5,4) (4,-2), thus the distance is:

$d=\sqrt{(4-(-5))^2+(-2-4)^2}=\sqrt{9^2+(-6)^2}$

$d=\sqrt{81+36}=\sqrt{117}=10.82$

The distance of the line is 10.82

4 0

3 years ago