Answer: x is 52 and y is 38.
Step-by-step explanation:
x+128=180
x=52
52+y=90
y=38
Answer:
8 16 24 32 <u>40</u> 48 56 64 <u>72</u>
1 2 3 4 <u>5</u> 6 7 8 <u>9</u>
Step-by-step explanation:
The proportion is 8:1
When the dollar amounts increase by 8, the hour amounts increase by 1, and vice versa. That is why it is a proportion.
Answer:
54-9t
Step-by-step explanation:
multiply the 9 with 6 and multiply 9 with the t which has an invisible 1
We know, sum of all the angles in a triangle is equal to 180 degree
So, 90 + 2x + 3x = 180
5x = 180-90
x = 90/5
x = 18
∠ANB = 2x = 2(18) = 36
∠BNC = 3x = 3(18) = 54
Hope this helps!
Answer with Step-by-step explanation:
We are given that
P(A)=0.4 and P(B)=0.7
We know that
![P(A)+P(B)+P(A\cap B)=P(A\cup B)](https://tex.z-dn.net/?f=P%28A%29%2BP%28B%29%2BP%28A%5Ccap%20B%29%3DP%28A%5Ccup%20B%29)
We know that
Maximum value of
=1 and minimum value of
=0
![0\leq P(A\cup B )\leq 1](https://tex.z-dn.net/?f=0%5Cleq%20P%28A%5Ccup%20B%20%29%5Cleq%201)
![0\leq P(A)+P(B)-P(A\cap B)\leq 1](https://tex.z-dn.net/?f=0%5Cleq%20P%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29%5Cleq%201)
![0\leq 0.4+0.7-P(A\cap B)\leq 1](https://tex.z-dn.net/?f=0%5Cleq%200.4%2B0.7-P%28A%5Ccap%20B%29%5Cleq%201)
![0\leq 1.1-P(A\cap B)\leq 1](https://tex.z-dn.net/?f=0%5Cleq%201.1-P%28A%5Ccap%20B%29%5Cleq%201)
![0\leq 1.1-P(A\cap B)](https://tex.z-dn.net/?f=0%5Cleq%201.1-P%28A%5Ccap%20B%29)
![P(A\cap B)\leq 1.1](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%5Cleq%201.1)
It is not possible that
is equal to 1.1
![1.1-P(A\cap B)\leq 1](https://tex.z-dn.net/?f=1.1-P%28A%5Ccap%20B%29%5Cleq%201)
![-P(A\cap B)\leq 1-1.1=-0.1](https://tex.z-dn.net/?f=-P%28A%5Ccap%20B%29%5Cleq%201-1.1%3D-0.1)
Multiply by (-1) on both sides
![P(A\cap B)\geq 0.1](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%5Cgeq%200.1)
Again, ![P(A\cup B)\geq P(B)](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%5Cgeq%20P%28B%29)
![0.4+0.7-P(A\cap B)\geq 0.7](https://tex.z-dn.net/?f=0.4%2B0.7-P%28A%5Ccap%20B%29%5Cgeq%200.7)
![1.1-P(A\cap B)\geq 0.7](https://tex.z-dn.net/?f=1.1-P%28A%5Ccap%20B%29%5Cgeq%200.7)
![-P(A\cap B)\geq -1.1+0.7=-0.4](https://tex.z-dn.net/?f=-P%28A%5Ccap%20B%29%5Cgeq%20-1.1%2B0.7%3D-0.4)
Multiply by (-1) on both sides
![P(A\cap B)\leq 0.4](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%5Cleq%200.4)
Hence, ![0.1\leq P(A\cap B)\leq 0.4](https://tex.z-dn.net/?f=0.1%5Cleq%20P%28A%5Ccap%20B%29%5Cleq%200.4)