Okay, since quotient is the answer to a division problem, you will divide w and -8. Increased means to add so, you will +7.
w/-8 +7 is what the expression looks like.
Answer:
a) Expected amount of the gambler's win = $0.209
b) SD = 2.26
c)P (X >1) = P(z >0.35) = 0.36317
Step-by-step explanation:
The probability of winning, p = 12/38 =6/19
Probability of losing, q = 1 -p = 1-6/19
q = 13/19
Win amount = $5
Loss amount = $2
a) Expected total amount of win = ((6/19)*5) - ((13/19)*2)
Expected total amount of win = 1.579 - 1.369
Expected amount of win, E(X) = $0.209
b) Standard Deviation for the total amount of the gambler's win

E(X²) = (6/19)*5² - (13/19)*2²
E(X²) = 5.158

SD = 2.26
c) probability that, in total, the gambler wins at least $1.
P(X >1)

μ = E(x) = 0.209
z = (1-0.209)/2.26
z = 0.35
P( X >1) = P(z >0.35)
P(z >0.35) = 1 - P(z <0.35)
P(z >0.35) = 1 - 0.63683
P(z >0.35) = 0.36317
STEP 1:
Find percentage. 57 out of 100 is the percentage to multiply by.
57/100= 0.57 (= 57%)
STEP 2:
Multiply percentage by the total gallons ordered (24).
=24 gallons * 0.57
=13.68 gallons
ALTERNATIVE METHOD (use which works best for you)
Set up a proportion. 57 to 100 is x out of 24 gallons.
x= number skim gallons to order
57/100= x/24
cross multiply
(57*24)= (100*x)
1368= 100x
divide both sides by 100
13.68 gallons= x
ANSWER: Since you cannot order a partial gallon of milk, round up to 14 whole gallons
Hope this helps! :)
Answer:
y€ R : y greater than or equal to 1
Answer:
21
Step-by-step explanation:
Using alternate interior angles, we can conclude that angle C is equal to X (the 3rd, unmarked angle in the center triangle)
To find that 3rd angle, we can do 180 - 105 - 54. This is because all angles in a triangle must equal 180. Using this, we find that angle C is equal to 21. By the law, X must also equal 21.