What is the quotient of 78,600 + 12?

Craig is folding laundry for his family. in the basket 1/6 of the shorts belong to his older brother and 3/6 of the shirts belon

marishachu [46]

I'm assuming you meant shirts instead of shorts for the older brother.

1/6 + 3/6 = 4/6

4/6 of the shirts belong to his brothers
(or 2/3 if you simplify the fraction)

5 0

3 years ago

Information on a sample of 362 college students is collected. The complete dataset is available at StudentSurvey. We see that 27

pishuonlain [190]

Answer:

So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.

Step-by-step explanation:

We know that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.

We have the following proportion:

$27:x=193:100\%\\\\193x=27\cdot 100\\\\193x=2700\\\\x=\frac{2700}{193}\\\\x=13.9\%$

So we get that 13.9% of men smoke.

We have the following proportion:

$16:x=169:100\%\\\\169x=16\cdot 100\\\\169x=1600\\\\x=\frac{1600}{169}\\\\x=9.5\%$

So we get that 9.5% of women smoke.

We get: 13.9%-9.5%=4.4%.

So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.

6 0

3 years ago

Why is it helpful to find different representations of the same number?

Paul [167]

Looking at a number in different ways can help understand it’s application better. For example, giving an answer with radicals(square roots) is precise, but it’s not practical because you really don’t know what that number means.

5 0

3 years ago

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$