We have the base measurement for the triangles composing the sides. We need their altitude.
Imagine a right triangle with these sides:
(1) from the apex of the pyramid to the point on the base directly underneath it (471 ft);
(2) from the middle of base edge to the point underneath the apex (half of 708 ft = 354 ft);
(3) the hypotenuse, the altitude of a triangular side.
Using the Pythagorean Theorem, we find the hypotenuse to be
√(471^2 + 354^2) = about 589.2 feet
Now we add up the four triangles' areas. Each is base * altitude / 2, so:
4 x 708 x 589.2 / 2
= 2 x 708 x 589.2
= 834,307.2 square feet, the lateral area.
Answer:
x=14
Step-by-step explanation:
1.subtract 72 from 86
2. add 3 to -2
3. get the X on one side
Answer:
0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year
Step-by-step explanation:
For each employee, there are only two possible outcomes. Either they survive the first year, or they do not. The probability of an employee surviving the first year is independent of other employees. This means that we use the binomial probability distribution to solve this question.
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.
A San Francisco-based tech firm is able to keep 80% of its new employees after one year.
This means that 
Q1. What is the chance that two randomly sampled new employees will both be able to survive their first year
This is P(X = 2) when n = 2. So


0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year
Answer:
10x + 30 = 600
Step-by-step explanation:
Johnny gets $10 per week, which is $10x for x number of weeks.
He already has $30, so his money becomes 10x + 30.
His goal is to have $600, so our equation becomes 10x + 30 = 600