Answer:
using Gaussian elimination method of matrix
Answer:
Answer
Let height =h
Total surface area=2πr(r+h)
r=7cm
⇒968=2×
7
22
×7(7+h)
⇒
44
968
=7+h
⇒h+7=22
⇒h=22−7
=15cm.
Step-by-step explanation:
Answer:
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Step-by-step explanation:
Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:
X 1060 1400 1620
P(X) 0.5 0.1 0.4
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Answer:
8
Step-by-step explanation:
You are given the hypotenuse and one leg of a right triangle, and are being asked to find the other leg. The Pythagorean theorem applies.
TW² + TY² = WY²
TW² = 17² - 15² = 64
TW = √64
TW = 8
The base case is the claim that

which reduces to

which is true.
Assume that the inequality holds for <em>n</em> = <em>k </em>; that

We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that

By the induction hypothesis,

Now compare this to the upper bound we seek:

because

in turn because
