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bazaltina [42]
3 years ago
15

Rob is saving to buy an MP3 player. For every 15 dollars he earns babysitting, he saves 6 dollars. On Saturday rob earned $75 do

llars. How much did he save.
Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

Rob saved $30 while he earned $75.

Step-by-step explanation:

Given:

For every 15 dollars he earns babysitting, he saves 6 dollars.

For money earned = $15

Money saved = $6

We will first find the percentage amount saved by rob

Percentage of amount is calculated by dividing money saved with for money saved and then multiplied by 100.

Percentage amount saved = \frac{6}{15}\times100 =40\%

Now we need to find the amount of money save  when money earned $75.

Amount of money saved can be calculate by multiplying money earned with percentile amount saved.

Framing in equation form we get;

Amount saved = \frac{40}{100}\times75 =\$30

Hence Rob saved $30 while he earned $75.

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Which of the following is an extraneous solution of the square root of -3x-2=x+2
yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

\sqrt{-3x-2} =x+2

squared both sides

-3x-2=(x+2)^2

-3x-2=x^2+4x+4

x^2+7x+6=0

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

\sqrt{-3(-6)-2} =-6+2

\sqrt{16} =-4

4=-4 ----> is not true

so

Is an extraneous solution

For x=-1

\sqrt{-3(-1)-2} =-1+2

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so

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3 years ago
What percentage of the data falls outside 1 standard deviation of the mean?
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We all know about the bell curve i.e. normal distribution curve. It is centered about the mean and spread equally on each side.

We describe the area of the curve with the help of standard deviations.

With in 1 standard deviation about the mean i.e. from -1 s.d. (left of mean) to +1 s.d. (right of mean), it covers 68% of the total area of curve.

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Hope this helps.
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Read 2 more answers
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