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
Answer:
X = 51
Y = 12
Step-by-step explanation:
2 numbers: (Larger) Number 1 is x and Number 2 is y
The equation is x + y = 63
New equation is:
Combine like variables:
Solve:
- 4y + 15 - 15 = 63 - 15
- 4y = 48
Divide 4 from each side:
To find x fill in the variables from the 'x =' equation:
- x = 3y + 15
- x = 3( 12) + 15
- <em><u>x = 51</u></em>
Your answer: 2/3/2/9 = 0.037037037037037