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3 years ago

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A circle has diameter endpoints at (7,2) and (p,8), p > 0, and the circle is tangent to the x axis. The circle’s equation can

be written (x-h)^2+(y-k)^2=n.
What is the value of h+k+n?

1 answer:

ycow [4]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

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A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand

LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

$\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158$

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

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

$Z = \frac{20.2 - 20}{0.158}$

$Z = 1.27$

$Z = 1.27$ has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

7 0

4 years ago

There are 12 students in an art class. They have 5 packs of crayons to share equally. How much of a pack of crayons will each st

konstantin123 [22]

Answer:

41%

Step-by-step explanation:

5 packs of crayons split among 12 people means we divide 5 by 12.

$\frac{5}{12} = .4166666667$

we can round that decimal number to .41 which can be turned into a percentage by moving the decimals place.

.41 = 41%

8 0

3 years ago

What is the answer?.....

Butoxors [25]

Answer:

Step-by-step explanation:

f(2) = 2^3 - 4(2)^2 = 8 - 4(4) = 8 - 16 = -8

g(-8)= 4(-8) + 5 = -32 + 5 = -27

C is the answer

8 0

3 years ago

Cesar is 35 years old. He has $370 in a checking account$2900 in a savings account$13,000 in a retirement account, and owns a ca

antoniya [11.8K]

Answer:

A. $3770

Step-by-step explanation:

The correct answer must be $3770 (not $3270), checking accounts and savings accounts are liquid assets. However, cars are not liquid assets because liquid assets are things that can be quickly turned into cash without losing much if any of their inherent value. In this case, the retirement account is not a liquid asset as it is designed to hold your money until retirement age, and given that Cesar is 35 years old so he has not reached retirement age.

8 0

4 years ago

HELP PLS THIS IS HARD WALLAHI ANYONE PLS HELP

Black_prince [1.1K]

Answer:

Option 4

Step-.by-step explanation:

Reflection over the y-axis is given by (x, y) ------->(-x, y). (the y-value stays the same)

So (-1, 3) ------> (1, 3).

TH answer is option 4.

3 0

3 years ago