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bija089 [108]
3 years ago
6

marathon runner runs26.2 miles at the pace of 6.2 minute per mile round off answer to the nearest minute how long will it take t

o run marathon
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0
There are several methods of rounding, but in this case the 'best' one is probably to round up. Rounding down suggests that Kathy actually ran faster. 

<span>26.2 (mile) * 6.2 (minutes/mile) = 162.44 rounded up => 163 minutes.</span>
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What is the completely factored form of 25x4 – 16y2?
erastovalidia [21]

Answer:

(5x^2+4y)(5x^2-4y)

Step-by-step explanation:

25x^4-16y^2 has the form a^2-b^2 known as a difference of squares. It factors into (a+b)(a-b). To find a and b you take the square root.

\sqrt{25x^4} =5x^2

\sqrt{16y^2} =4y

The factored for is (a+b)(a-b).

In this case, it is (5x^2+4y)(5x^2-4y)


3 0
3 years ago
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The dimensions of a big dog house are 2 1/2 the dimensions of a small dog house. If the width of the small doghouse is 2 feet, w
Alchen [17]
   The width of the big dog house is  2.5 times the small dog house. 
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6 0
3 years ago
I need the answer to this please!
Crazy boy [7]

Answer:

106

Step-by-step explanation:

Sum of angles around a point = 360 degrees

Sum of given angles = 164+90 = 254

Thus, the value of x is the angles remaining from 254 to make 360

360-254 = 106

Hope this helps

Good luck

4 0
3 years ago
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3 0
3 years ago
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
STALIN [3.7K]

Answer:  b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5   (The probability of getting heads on a fair coin is 0.5)

Significance level : \alpha: 1-0.90=0.10\\

Critical z-value (using z-value table ) : z_{\alpha/2}=1.645

Confidence interval width : w= 0.18

Thus , the margin of error : E=\dfrac{w}{2}=0.09

Formula to find the sample size ( if prior estimate of proportion is known.):-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Substitute the values , we get

n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2

Simplify ,

n=83.5192901235\approx84  [Round of to the next whole number.]

Hence, the number of times we would have to flip the coin =<u>84</u>

hence, the correct answer is b) 84

8 0
3 years ago
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