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Dmitrij [34]
3 years ago
6

Perpendicular bisector of segment with endpoints -2,0 and 6,12.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0
Slope= y^2-y^1
————
x^2-x^1

slope= 12-0
——-
6+2

slope= 12
—-
8

slope= 3/2

perpendicular slope is the opposite reciprocal

perpendicular slope= -2/3

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A cylinder has a volume 1200 cubic inches and radius 5 inches. What is the height of the cone to the nearest tenth inch
mihalych1998 [28]

Answer: 15.3 in

Step-by-step explanation:

First, the formula for the volume is: V=\pi r^2h

If you solve for h,

h=\frac{V}{\pi r^2}

h=\frac{1200in^3}{(3.14)(5in)^2}

h=15.3in

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(5×10 exponent 8)/(2×10 exponent 6)​
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500,000,000 and 2,000,000

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Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey(NHANES) to estimate dietary intake of 10
xxMikexx [17]

Complete question :

Wright et al. [A-2] used the 1999-2000 National Health and Nutrition Examination Survey NHANES) to estimate dietary intake of 10 key nutrients. One of those nutrients was calcium in all adults 60 years or older a mean daily calcium intake of 721 mg with a standard deviation of 454. Usin these values for the mean and standard deviation for the U.S. population, find the probability that a randonm sample of size 50 will have a mean: (mg). They found a) Greater than 800 mg b) Less than 700 mg. c) Between 700 and 850 mg.

Answer:

0.10935

0.3718

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Step-by-step explanation:

μ = 721 ; σ = 454 ; n = 50

P(x > 800)

Zscore = (x - μ) / σ/sqrt(n)

P(x > 800) = (800 - 721) ÷ 454/sqrt(50)

P(x > 800) = 79 / 64.205295

P(x > 800) = 1.23

P(Z > 1.23) = 0.10935

2.)

Less than 700

P(x < 700) = (700 - 721) ÷ 454/sqrt(50)

P(x < 700) = - 21/ 64.205295

P(x < 700) = - 0.327

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P(x < 850) = (850 - 721) ÷ 454/sqrt(50)

P(x < 850) = 129/ 64.205295

P(x < 700) = 2.01

P(Z < 2.01) = 0.9778

P(x < 850) - P(x < 700) =

P(Z < 2.01) - P(Z < - 0.327)

0.9778 - 0.3718

= 0.606

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2 years ago
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