This would be a 20% increase.
Work is provided in the image attached.
Answer:
Therefore the two values required are 2.08 and -11.08.
Step-by-step explanation:
i) f(x) =
+ 10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.
ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.
This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.
∴
+ 10x -12 = 0 ⇒ x = (-10 ±
) ÷ 2
= (-10 ± 12.166)÷2 = 2.08, -11.08
Therefore the two values required are 2.08 and -11.08
Answer:
>
42 5/7, fourth choice
1 23/30, first choice
11 7/12, second choice
3 26/45, fourth choice
Step-by-step explanation:
Answer:
<u><em>Bet $100 and remove all non-face cards.</em></u>
Step-by-step explanation:
Each option may be answered on the basis of the ratio of face cards to non-face cards, which we'll say is R.
a. removing all of the black cards No. The vale of R does not change. R is the same for both black and red cards, so removing one color does not change R.
b. removing all non-face cards Yes. The only cards left are face cards. The odds of drawing 2 face cards in a row from this modified deck is 100%
c. removing all kings No. Face cards are being removed and will thus lower the probability of picking one.
d. removing all of the red cards No. Same reasoning as in (a.).