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dybincka [34]
3 years ago
15

A piece of wire 24 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a

circle. Where should the wire be cut so that the combined area of the two figures is a maximum? (Round your answers to two decimal places.)
length of the wire used for the square = ? ft

length of the wire used for the circle = ? ft

Where should the wire be cut so that the combined area of the two figures is a minimum? (Round your answers to two decimal places.)

length of the wire used for square = ? ft

length of the wire used for circle = ? ft
Mathematics
1 answer:
abruzzese [7]3 years ago
5 0

Answer:

SAY WHAT

Step-by-step explanation:

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C) The initial value is 32, and the rate of change is 1.

Step-by-step explanation:

This is the correct answer for edge

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Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9
mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that \mu = 20.5, \sigma = 0.9

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

Z = \frac{X - \mu}{\sigma}

Z = \frac{21 - 20.5}{0.9}

Z = 0.56

Z = 0.56 has a p-value of 0.7123

X = 19

Z = \frac{X - \mu}{\sigma}

Z = \frac{19 - 20.5}{0.9}

Z = -1.67

Z = -1.67 has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

5 0
2 years ago
What's is 17% of 800. ?
stepladder [879]
You need to change 17% to decimal by moving the decimal to the right by 2x so you will get .17*800=136
5 0
3 years ago
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The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three
Margaret [11]

Answer:

81

Step-by-step explanation:

Let's do this systematically:

Four numbers: a, b, c, d

Whose mean is 85: \frac{a + b + c + d}{4} = 85

Whose largest number is 97: \frac{a + b + c + 97}{4} = 85

Lets solve for the other numbers:

a+b+c+97 = 85*4 = 340

340 - 97 = 243

a+b+c = 243

at this point it doesn't matter what the numbers are, they just need to add up to 243.

We can do 243÷3=81, which is our answer

3 0
3 years ago
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