The attachment shows such an angle.
Answer:
107
Step-by-step explanation:
5x + 3 + 7x + 9 = 180
12x + 12 = 180
12x = 168
x = 14
7(14) + 9 = 107
To find the perimeter of Lorenzo's patio, you need to understand that perimeter is a measurement of distance around a sided figure.
We know the side lengths are 12 feet, 14 feet, 12 feet, and 14 feet because it is a rectangle.
Add all these together to find the total distance around.
12 + 12 + 14 + 14 or (12 x 2) + (14 x 2) = 52 feet
The perimeter of Lorenzo's patio is 52 feet.
Answer: 3 copies of 5 tenths = 3*0.5 = 1.5
Step-by-step explanation:
Ok, if we have:
"3 copies of a number B"
This is written as:
3*B
And we have that the number B is "5 tenths"
Now, a tenth is the first digit after the decimal point.
Then 5 tenths = 5*0.1 = 0.5
B = 0.5
3 copies of 5 tenths = 3*0.5 = 1.5
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
