Answer:
The probability that a family spends less than $410 per month
P( X < 410) = 0.1151
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given mean of the population = 500 </em>
<em>Given standard deviation of the Population = 75</em>
Let 'X' be the variable in normal distribution
<em>Given X = $410</em>
<em></em><em></em>
<u><em>Step(ii):-</em></u>
The probability that a family spends less than $410 per month
P( X < 410) = P( Z < - 1.2 )
= 0.5 - A( -1.2)
= 0.5 - A(1.2)
= 0.5 - 0.3849 ( ∵from normal table)
= 0.1151
<u>Final answer:-</u>
The probability that a family spends less than $410 per month
P( X < 410) = 0.1151
1. 10x+6=8-2(x+6)
2. 10x+6=6(x+6)
(distribute the 6)
3. 10x+6=6x+36
(Move the 6x to the other side by subtracting)
4. 4x+6=36
(Move the 6 to the other side by subtracting)
5. 4x=30
(divide)
x=7.5
Hope this helped! :)
Answer:
54y+78
Step-by-step explanation:
6*3y+ 18y
6*7=42
4*9=36
4*9y=36y
18y+36y+42+36= 54y+78
Answer:
7
Step-by-step explanation:
Note the relation between x and y
The values of y are 2 less than the corresponding values of x, that is
x = - 3 → y = - 3 - 2 = - 5
x = 0 → y = 0 - 2 = - 2
x = 1 → y = 1 - 2 = - 1
x = 5 → y = 5 - 2 = 3
Thus
x = 9 → y = 9 - 2 = 7 ← missing value
Y = -4x/5 + 13/5 would be the answer to 4x+5y=13