Answer:
14.4
Step-by-step explanation:
Answer:
The value of a is 7.4833. The value of
and
.
Step-by-step explanation:
Consider the provided information.
The required figure is shown below:
We need to find the value of a.
Calculate the value of a by using Pythagorean theorem.





Hence, the value of a is 7.4833.
Now find the value of angle A as shown:




Find the value of angle B as shown:




Hence, the value of
and
.
That is 6 * sqrt(2*8*3*6)
= 6 sqrt 16 * sqrt 18
= 6 *4 * sqrt 9 * sqrt2
= 6*4*3 sqrt2
= 72 sqrt 2
Answer:
35.03% probability that fewer than 7 will be carrying backpacks
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are carrying a backpack, or they are not. The probability of a student carrying a backpack is independent from other students. So 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.
The probability that an Oxnard University student is carrying a backpack is .70.
This means that 
If 10 students are observed at random, what is the probability that fewer than 7 will be carrying backpacks
This is
when
. So










35.03% probability that fewer than 7 will be carrying backpacks