500 + 30g <span>≤ 8000
30g </span><span>≤ 7500
g </span><span>≤ 250</span>
Answer:
13 cm
Step-by-step explanation:
The diagonal of a rectangle forms a right triangle; where the diagonal is a hypotenuse, and two sides of the rectangle are legs.
Using pythagorean's theorem (
), we can say:

The hypotenuse is equal to 13cm.
Answer:8.55
Step-by-step explanation:
Answer:
f(x) = 4x² - 40x + 84
Step-by-step explanation:
4(x - 7)(x - 3) = 0
4(x² - 3x - 7x + 21) = 0
4(x² - 10x + 21) = 0
4x² - 40x + 84 = 0
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used 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 certain performer has an independent .04 probability of a crash in each race.
This means that 
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:

When 
We have that:



0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season