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coldgirl [10]
2 years ago
5

Need some help on this

Mathematics
1 answer:
Law Incorporation [45]2 years ago
4 0

9514 1404 393

Answer:

  a. set 1: 29 minutes; set 2: 25 minutes

  b. set 1 is more challenging than set 2

Step-by-step explanation:

a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...

  (2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes

For set 2, that is ...

  (4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes

__

b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...

  set 1 is more challenging than set 2

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MrRa [10]

Answer:

Height of the ball after 3 seconds = 27.4 feet.

Step-by-step explanation:

h(t) = -4.9t^2 + 22t + 5.5

h(3) means the height of the ball at time 3 seconds after the ball was thrown.

h(3) = -4.9(3)^2 + 22(3) + 5.5

=  27.4 feet

5 0
3 years ago
A box with a square base and an open top is being constructed out of A cm2 of material. If the volume of the box is to be maximi
viktelen [127]

Answer:

Side length = \sqrt{\frac{A}{3} } cm ,   Height =  \frac{1}{2} \sqrt{\frac{A}{3} } cm  ,  Volume = \frac{A\sqrt{A}}{6\sqrt{3} }  cm³

Step-by-step explanation:

Assume

Side length of base = x

Height of box = y

total material required to construct box = A ( given in question)

So it can be written as

A = x² + 4xy

4xy = A - x²

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Volume of box = Area x height

V = x² ₓ y

V = x² ₓ ( \frac{A - x^{2} }{4x} )

V =  \frac{Ax - x^{3} }{4}

To find max volume put V' = 0

So taking derivative equation becomes

\frac{A - 3 x^{2} }{4} = 0

A = 3 x^{2}

x^{2} = \frac{A}{3}

x = \sqrt{\frac{A}{3\\} }

put value of x in equation 1

y = \frac{A - \frac{A}{3} }{4\sqrt{\frac{A}{3} } }  

y = \frac{2 \sqrt{\frac{A}{3} } }{4 \sqrt{\frac{A}{3} } }

y = \frac{1}{2} \sqrt{\frac{A}{3} }

So the volume will be

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Put values of x and y from equation 2 & 3

V = \frac{A}{3} (\frac{1}{2} \sqrt{\frac{A}{3} } )

V = \frac{A\sqrt{A}}{6\sqrt{3} }

8 0
3 years ago
125 .10<br><br>will give brainliest ​
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Answer:

is the question  What is 10 percent of 125? = 12.5?

Step-by-step explanation:

if it was here you go

edit:

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6 0
2 years ago
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An equilateral triangle has a perimeter of 21 and a side length of 2x - 3. Solve for x
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Answer:

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Step-by-step explanation:

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Divide 18 by 6 and you get 3.

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3 years ago
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muminat
21 cubic inches is the volume of a box that will hold exactly 567 of these cubes with 1/3 inch sides.
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