Answer:
The slope should be 34.00.
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are
i) 68% falls within one standard deviation
ii) 95% falls within two standard deviation
iii) 99.7% falls within three standard deviation.
Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.
Answer:
x^2 -8x -5 = -3
x^2 -8x -2 = 0
We complete the square by:
1) Moving the "non X" term to the right:
x^2 -8x = 2
2) Dividing the equation by the coefficient of X²
The coefficient of x is 1 so we don't do anything
3) Now here's the "completing the square" stage in which we:
• take the coefficient of X
that is -8
• divide it by 2
-8 ÷ 2 = -4
• square that number
-4*-4 = 16
• then add it to both sides of the equation.
x^2 -8x +16 = 2 +16
That becomes
(x -4)^2 = 18
we take the square root of both sides:
(x -4) = sqr root (18)
x1 = sqr root (18) +4
AND
(x+4) = sqr root (18) -4
x1 = sqr root (18) +4 = 4.2426406871 + 4 = 8.2426406871
x2 = sqr root (18) -4 = = 4.2426406871 - 4 = .2426406871
Step-by-step explanation:
Answer: Natalie make $ 367.5 in a week in which she made $225 in sales .
Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
Step-by-step explanation:
Base Salary of Natalie = $300
Also, she gets 30% of the her total sales for the week.
If total sales in a week = $225
commission = 30% of $225
= $ ( 0.30 × 225)
= $ 67.5
Natalie got = Base Salary + Commission
= $300 + $ 67.5
= $ 367.5
∴ Natalie make $ 367.5 in a week in which she made $225 in sales .
If total sales in a week = $x
commission = 30% of $x
= $ ( 0.30 × x)
= $ 0.30 x
Natalie got = Base Salary + Commission
= $ ( 300+x )
∴ Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
Infinitely many solutions, you need to do the distributive property.
