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3 years ago

6

Calculate the average for this list of numbers 1.90 7.99 4.33 5.21

1 answer:

malfutka [58]3 years ago

8 0

What you do is add up all the values, then divide by the number of values.
$\frac{1.90+7.99+4.33+5.21}{4}=\frac{19.43}{4}=4.8575$
The average of the data is 4.8575.

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Use scientific notation to estimate the number of inches in 1,225 miles

madam [21]

First, find the number of inches
<span>1225 Miles = 77616000 Inches

then, move the decimal to until you have a ones place. </span>
<span>77616000. the decimal for this number moves to the left SEVEN places.
you end up with 7.7616000
</span>
it will look like this:

7.8 * 10^7

I rounded to the .8 because you didn't state how many significant figures, but it could easily be 7.76 * 10^7

the exponent above the 10 will tell you how many places to move. to get back to your original number, move it back to the right seven places. Of course, you would have to place hold the numbers with 0s. If it were negative, you would move the decimal the opposite way.

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3 years ago

The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

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3 years ago

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The graph shows the cost of renting water skis. Emilia rents skis at noon. What is the fixed cost of renting water skis for any

cluponka [151]

Can you please show the graph

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3 years ago

Barbara has $70.00 in her pocket and a $20 gift card. Which purchase will she be able to make without having to use her credit c

suter [353]

Yes depending on her purchase. If it is over 90.00 dollars then no she will not.

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3 years ago

What is the slope of this line?

nataly862011 [7]

Answer: $-\frac{8}{5}$

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

Let's use the points (-1, 4) and (4, -4).

(-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).

Because the line is decreasing, the slope is negative.

Therefore, the slope is $-\frac{8}{5}$ .

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

Let's use the points (-1, 4) and (4, -4).
$\frac{-4 - 4}{4 - (-1)} = \frac{-8}{5}$

Therefore, the slope is $-\frac{8}{5}$ .

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3 years ago

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