<h3><u>
Answer:</u></h3>
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
<h3><u>
Step-by-step explanation:</u></h3>
Let A denote the event of rolling a number less than 5 in a six-sided die.
Now, we know that the Total outcomes are: 6
since, the sample space is given as: {1,2,3,4,5,6}
Also Number of favorable outcomes are: 4
since the numbers which are less than 5 are {1,2,3,4}
Now we have to find:

where P denotes the probability of an event and
denote the complement of event A.
We know that:

Now,

Hence,

Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
Answer: √117
Step-by-step explanation:
Since no diagram present, am assuming hypotenuse AB and right angle C. Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.
a^2 + b^2 = 22^2 (Pythagorean)
Using Pythag on two smaller triangles,
x^2 + 13^2 = a^2
x^2 + 9^2 = b^2
Substituting in first equation,
x^2 + 13^2 + x^2 + 9^2 = 22^2
x^2 = 117, so x = √117
Answer:
X=4
Step-by-step explanation:
i Think
Use the distance formula to find base and height.