Answer:
14+6=n=20
Step-by-step explanation:n=20
Using substitution:
4x+2y=12
y=8x+1
4x+2(8x+1)=12
distribute
4x+16x+2=12
combine like terms
18x+2=12
subtract 2 from both sides
20x=10
divide each side by 20
x=10/20
reduce
x=1/2
plug in x for the y= equation
y=8(1/2)+1
multiply
y=4+1
add
y=5
answer:
(1/2,5)
1% of 120 is 1.2, so 7 *1.2 = 8.4
Also you could set up the proportion 7/100 = x/120 and solve for x.
0, 1/3, 2/3, 1, 1 1/3, 1 2/3, 2
Complete Question
A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places
Answer:
0.1151
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = $45.20
μ is the population mean = $50
σ is the population standard deviation = $4
We are solving for x < 45.20
Hence:
z = 45.20 - 50/4
z = -1.2
Probability value from Z-Table:
P(x<45.20) = 0.11507
Approximately to 4 decimal places = 0.1151
Therefore, the proportion of wand prices that are lower than the price of the blackthorn wand is 0.1151
