See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
Answer:

Step-by-step explanation:
Given

Let p represents the proportion of those who worry about identity theft;

Required
Mean of those who do not worry about identity theft
First, the proportion of those who do not worry, has to be calculated;
Represent this with q
In probability;

Make q the subject of formula

Substitute 

Convert percentage to fraction


Now, the mean can be calculated using:

Where n represents the population


(Approximated)
Answer:
The probability that all will last at least 30,000 miles is 0.3164.
Step-by-step explanation:
Consider the provided information.
For a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. Someone who buys a set of four of these tires,
That means the probability of not wearing out is 1-0.25 = 0.75
Now use the binomial distribution formula.

Substitute p = 0.25, q=0.75, r=4 and n=4



The probability that all will last at least 30,000 miles is 0.3164.
Answer:
10
Step-by-step explanation:
Both angles will be equal as they are opposite angles
➝13x=130
➝x=130/13
➝x=10
Fraction of navy beans = 1 - 2/5 = 3/5. So there are 2/5 * 550 = 220 white bean and 3/5 * 550 = 330 navy beans
ratio of white beans to navy beans is 220 : 330 = 2 : 3
Answer is 2:3.