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3 years ago

If this trapezoid is moved through the

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Hi! I'm happy to help!

We can see that A's coordinates currently are -6 for x and 2 for y.

When we move x+3, it moves the x coordinate to the right 3 units. This changes it from -6 to -3. When we move y -2, we move the y coordinate down 2 units. This changes it from 2, to 0.

To sum it up: The final coordinates of A will be -3 for x and 0 for y, also written as (-3,0).

I hope this was helpful, keep learning! :D

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A 98% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A prelimina

BaLLatris [955]

Answer:

$n = (\frac{2.326*1.7}{0.3})^2= 173.73$

And the value for n rounded up would be n = 174

Step-by-step explanation:

We have the following info given:

$s= 1.7$ previous estimation for the deviation

$ME=0.03$ the margin of error desired

$Conf =0.98$ represent the confidence

The Margin of error is given by:

$ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

If we solve for the value of n we got:

$n= (\frac{z*\sigma}{ME})^2$

For this problem we know that the confidence is 98% so then the significance level would be $\alpha=0.02$ and the critical value would be:

$z_{\alpha/2}= 2.326$

And replacing we got:

$n = (\frac{2.326*1.7}{0.3})^2= 173.73$

And the value for n rounded up would be n = 174

3 0

3 years ago

A rectangular painting has a diagonal measure of 25 inches and an area of 168 square inches. Use the formula for the area of a r

Sphinxa [80]

H^2=x^2+y^2 and xy=168 so y=168/x

625=x^2+28224/x^2

625=(x^4+28224)/x^2

x^4-625x^2+28224=0

I'll use the quadratic because this is a big number :P

x^2=(625±√(277729))/2

x^2=(625±527)/2

x^2=49

x=7

168/7=24

So the dimensions of the painting is 7 inches by 24 inches.

8 0

3 years ago

Manuel biked for 12 1/4 miles in 45 minutes. At that rate how far can you go in one hour?

kondaur [170]

Answer:

16 1/3 miles in one hour.

Step-by-step explanation:

12.25 miles in 45 minutes.

How far in 60 minutes?

Set up a proportion: 12.25/45=x/60

45x=735

x=16.3333...

Therefore, Manuel can go 16 1/3 miles in one hour.

I hope this helped and have a good rest of your day!

3 0

3 years ago

Give an example of an EQUATION with no solutions. Explain why it has no solutions?

g100num [7]

Answer: 0=1

Step-by-step explanation: This is a false because we know zero can’t equal one. Therefore, we can conclude that the problem has no solution.

7 0

3 years ago

What is the cumulative area from the left under the curve for a z-score of -0.875? What is the area on the right of that z-score

Blizzard [7]

Answer:which z sqore are u talking about

Step-by-step explanation:

4 0

3 years ago