Answer:
use a ratio
Step-by-step explanation:
you work 10 hours and make $25. How much do you earn per hour? (this is your unit rate.)
<u>10 hours</u>
$25
divide and you get an answer of $2.50 per hour
to check your answer work the problem backwards, take $2.50 times 10 hours = $25
Answer:
1) mean = 21, standard deviation σ = 21.9317
2) the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591
Step-by-step explanation:
Given the data in the question;
1. According to Penelope's beliefs, what are the mean rate of return and the standard deviation of return of her portfolio?
Mean μ = Return = ( 60% × 15) + ( 40% × 30 ) = 9 + 12 = 21
mean = 21
standard deviation σ = √( (0.6² × 25²) + ( 0.4² × 40² ) )
standard deviation σ = √( (0.36 × 625) + ( 0.16 × 1600 ) )
standard deviation σ = √( 225 + 256 )
standard deviation σ = √481
standard deviation σ = 21.9317
2) What is the probability that Penelope's portfolio will earn at least 12% in the next 12 months
so we are to find P( X > 12 )
converting into standard normal variable;
⇒ P( Z > X-μ / σ )
= P( Z > ( 12-21 / 21.9317 ) )
= P( Z > ( -9 / 21.9317 ) )
= P( Z > -0.41 )
FROM z-score table; P( Z > -0.41 ) is 0.3409
P( X > 12 ) = 1 - 0.3409
P( X > 12 ) = 0.6591
Therefore, the probability that Penelope's portfolio will earn at least 12% in the next 12 months is 0.6591
Step-by-step explanation:
points (-7,5) and (5,-3)?
This would mean to subtract the y coordinates:
5 - (-3) = 8
Then subtract the x coordinates in the same order:
-7 - 5 = -12
Then divide the y result by the x result for the slope:
8/-12 is the slope.
In simplest form, this is equivalent to -2/3
I know my cases are f(0,0), f(0,1), f(0,2), f(0,3), f(1,0), f(1,1), f(1,2), f(1,3), f(2,0), f(2,1), f(2,2), f(2,3), f(3,0), f(3,1), f(3,2), f(3,3) and that:<span>
0≤x+y≤3</span><span>
since there are 3 cards being drawn we cannot have more than 3 jacks or 3 kings or combination of 3 of the two, or 0 jacks and 0 king
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