The volume of a cylinder measures 2,797.74 in. The radius of the cylinder is 9 in. Determine the height.

Mathematics

1 answer:

podryga [215]2 years ago

6 0

Answer:

11 inches

Step-by-step explanation:

V(cylinder) = πr²·h

2797.74 = 81π·h

h = 2797.74 ÷ 81π

h ≈11

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Janelle wrote the matrix addition below. Which statement is true?

Sonja [21]

Option A is correct.

Step-by-step explanation:

We need to identify which statement is true in matrix addition.

In matrix addition we just add the corresponding elements.

In the options given only Option A is correct i.e, (n+4)-7 = 18

All other options have error in them.

In Option B there should be -12 instead of +12

In Option C there should be -11 instead of 11

In Option D we are not adding corresponding entries.

So, Option A is correct.

Keywords: Matrix addition

Learn More about Matrix Addition at:

#learnwithBrainly

6 0

3 years ago

Read 2 more answers

For 300 trading days, the daily closing price of a stock (in $) is well modeled by a Normal model with mean $196.99 and stand

KATRIN_1 [288]

Answer:

a) 2.5% b) 84% c) 95% d) D. The more unusual day is if the stock closed below $185 because it has the largest absolute z-score.

Step-by-step explanation:

For a) b) and c) we will use the empirical rule, so, we can observe the image shown below

a) 211.23 is exactly two standard deviation above the mean, so, the probability that on a randomly selected day in this period the stock price closed above 211.23 is 2.35% + 0.15% = 2.5%

b) 204.11 represents exactly one standard deviation above the mean, so, the probability of being below 204.11 is 50% + 34% = 84%

c) The probability of getting a value between 182.75 and 211.23 is 95%, this because 182.75 is exactly two standard deviations below the mean and 211.23 is exactly two standard deviations above the mean.

d) The z-score related to 208 is $z_{1}$ = (208-196.99)/7.12 = 1.5 and the z-score related to 185 is $z_{2}$ = (185-196.99)/7.12 = -1.7, therefore, the more unusual day is if the stock closed below $185 because it has the largest absolute z-score.