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liraira [26]
3 years ago
14

One square grid is formed of 400 squares. Another square grid is formed of 256 squares. If the two grids join with a third at th

eir vertices to form a right triangle, how many total squares could their be in the third grid?
A. 4

B. 12

C. 36

D. 144
Mathematics
1 answer:
Sav [38]3 years ago
4 0
One square grid has an area of 400.
Another square grid has an area of 256.

The area of the third grid can be:

(squares in third grid) + 256 = 400

OR

256 + 400 = (squares in third grid)

We get this by applying the Pythagorean theorem.

So, the squares in the third grid can either be 144 or 656. And we only have 144 as an option, so that is your answer.

Your final answer is D. 144.
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From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.
zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

\sigma=3.23

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}

=21.69\pm (1.96)\dfrac{1.7}{7.61577}

=21.69\pm (1.96)(0.223221)

\approx21.69\pm0.83

=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

7 0
3 years ago
Please help links = reported i need help
34kurt

Answer:

not helping you i will take the points tho.

Step-by-step explanation:

thanks for the points im taking them back now c: this is what you get for messing with me

6 0
3 years ago
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What 1% out of 100,000,000? Is it 1 million or 10,000?
larisa [96]

Answer:

1 million

Step-by-step explanation:

100,000,000 * 0.01

= 1,000,000

6 0
3 years ago
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(4plus2) - 7 times 2
mote1985 [20]

Answer:

-8

Step-by-step explanation:

Brackets go first, (4+2)=6

Then multiplication, 7x2=14

Lastly, combine them: 6-14 = -8

7 0
3 years ago
The height of a small rise in a roller coaster track is modeled by () = −. + . + . , where x is the distance in feet from a supp
Reika [66]

Answer:

Maximum height is 7 feet

Step-by-step explanation:

Solution:-

- The complete question is as follows:

" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.

Find the greatest height of the rise "

- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.

- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.

                    f(x) = –0.07x^2 + 0.42x + 6.37

- Now set the first derivative equal to zero, and determine the critical values of x:

                    0 =  -0.14x + 0.42

                    x = 0.42 / 0.14 = 3 ft

- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:

                    f ( x = 3 ) = max height

                    max height =  –0.07*3^2 + 0.42*3 + 6.37

                                        = 7 ft

5 0
3 years ago
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