HELP. A triangle is dilated by a scale factor of 2 and the area of the original figure is x units.

Mathematics

1 answer:

7nadin3 [17]3 years ago

8 0

Answer:

4x.

Step-by-step explanation:

If the scale factor is 2 then the area factor is 2^2 = 4.

So the area of the new triangle is 4*x.

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Plz help me I’m so confused 23 points plz explain it to me in sooo stuck

anzhelika [568]

Answer:

6. D

7. B

Step-by-step explanation:

Nancy takes a test that has two sections: essay and true/false. She scores 56 points on the essay. Each true/false question is 4 points. So x number of true/false is worth 4 points each or 4x.

Together her score will be 56 + 4x.

She wants to score more than 80 or > 80.

So her test can be represented as the inequality 56 + 4x > 80.

This is solved using inverse operations.

56 + 4x > 80

4x > 24

x > 6

This should be graphed as an open circle at 6 on the umber line pointing and shaded to the the right for numbers greater than 6.

3 0

3 years ago

Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl

lidiya [134]

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

$\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}$

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

$x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13$

$x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88$

$x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63$

$x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38$

$x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13$

So, the table becomes:

$\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}$