Answer:
5.025m
Step-by-step explanation:
The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.
We can use the pythagorean theorem to find the length of the clothesline.
5 squared +.5 squared= the length of the clothesline squared
25+.25= the square root of 25.25
= 5.025
Answer:
66.76% probability that the levee will NEVER fail in the next 20 years.
Step-by-step explanation:
For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that 
What is the risk that the levee will NEVER fail in the next 20 years?
This is
when
. So


66.76% probability that the levee will NEVER fail in the next 20 years.
Answer:
0.2986 (29.86%)
Step-by-step explanation:
cup volume = πr²H = 3.14 x 4² x 7 = 351.68 cm³
after 3 minutes (70 /2) x 3 =105 cm³
the percent of the cup that is filled 105/351.68 = 0.2986 (29.86%)
Answer:
22°
Step-by-step explanation:
Since the triangle is right use the sine ratio
sinQ =
=
, hence
Q =
(
) = 22° ( nearest degree )