Answer:
1) 
2) 
We can find the individual probabilities and we got:
And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.
Step-by-step explanation:
For this case we have the following density function:
In order to satisfty that this function is a probability mass function we need to check two conditions:
1)
2)
We can find the individual probabilities and we got:
And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.
And if we want to find the following probabilities:
Answer: The measure of the other acute angle is 52.8°
Step-by-step explanation:
Hi, since the situation described forms a right triangle ( see attachment) , we know that the three interior angles of a right triangle add up to 180 degrees.
The value of one angle is given = 37.2°.
Since is a right angle it has also a right angle of 90°.
So we can write an equation:
x + 37.2 + 90 = 180
Where x is the measure of the other acute angle.
Solving for x:
x = 180-90-37.2
x = 52.8°
Answer:
∠x = 117°
Step-by-step explanation:
supplement of ∠101° = 79°
all triangle interior angles add up to 180°
180° - 79° - 38° = 63°
the supplementary angle to 63° is 117°
Go to the google search engine.. take your little fingers and copy and paste this into it. The result will pop up within its calculator.
Answer:
The two numbers are:
8 and 13
Step-by-step explanation:
a = 2b - 3 Eq. 1
a + b = 21 Eq. 2
Replacing Eq. 1 in Eq. 2:
(2b-3) + b = 21
3b - 3 = 21
3b = 21 + 3
3b = 24
b = 24/3
b = 8
from Eq. 1
a = 2*8 - 3
a = 16 - 3
a = 13
Check:
From Eq. 2:
a + b = 21
13 + 8 = 21
