22x-74=0
+74 +74
22x=74
X= 3.36 repeating
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For point (a)
:
In this, two points are exclusive to one another, it is a probability that first or the second project will have breaches,
![\to P = P(A) + P(B)](https://tex.z-dn.net/?f=%5Cto%20P%20%3D%20P%28A%29%20%2B%20P%28B%29)
![= 0.3 + 0.25\\\\= 0.55](https://tex.z-dn.net/?f=%3D%200.3%20%2B%200.25%5C%5C%5C%5C%3D%200.55)
Since the p(A & B)=0 is mutually exclusive.
For point (b):
![\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\](https://tex.z-dn.net/?f=%5Cto%20P%20%3D%20%28%20%5Cfrac%7B1%20-p%28A%29%29%20%5Ctimes%20P%28B%29%7D%7B%28%281-P%28A%29%29%20%5Ctimes%20%20P%28B%29%20%2B%20P%28A%26B%29%7D%29%20%5C%5C%5C%5C)
![= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%281%20-0.3%29%5Ctimes%200.25%7D%7B%281-0.3%29%2A0.25%20%2B%200%7D%20%5C%5C%5C%5C%20%3D%201)
For point (c):
if both a and b are independent:
(a):
![P = P(A) + P(B) - P(A)\times P(B) \\\\](https://tex.z-dn.net/?f=P%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%29%5Ctimes%20P%28B%29%20%5C%5C%5C%5C)
![= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475](https://tex.z-dn.net/?f=%3D%200.3%20%2B%200.25%20-%200.3%20%5Ctimes%200.25%5C%5C%5C%5C%20%3D%200.475)
(b):
![P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B%281%20-p%28A%29%29%20%5Ctimes%20P%28B%29%7D%7B%28%281-P%28A%29%29%20%5CtimesP%28B%29%20%2B%20P%28A%26B%29%29%7D%20%5C%5C%5C%5C)
![= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%281%20-%200.3%29%5Ctimes%200.25%7D%7B%28%281-0.3%29%5Ctimes0.25%20%2B%200.3%5Ctimes0.25%29%7D%5C%5C%5C%5C%20%3D%200.7)
Let d = -3
-d
-(-3)
Answer: 3
I need more information, do you know how high Jessie flew and how low under sea level she went?
Answer/Step-by-step explanation:
Equation representing a direct proportional relationship is given as y = mx
Where, unit rate (m) = y/x
Use the above to solve the problems given
PART A:
1. First, find m using a pair fo values from the table, say (2, 30)
m = 30/2 = 15
Substitute m = 15 into y = mx
Equation would be:
y = 15x
2. Find m using (2, 8)
m = 8/2 = 4
Substitute m = 4 into y = mx
Equation would be:
y = 4x
3. Find m using (3, 69)
m = 69/3 = 23
Substitute m = 23 into y = mx
Equation would be:
y = 23x
PART B:
1. Unit rate is 15 pieces of Candy per box of Candy
2. Unit rate is 4 Lemons used per glass of Lemonade
3. Unit rate is 23 gallons of water used per minute