Answer:
given p(x)= 5x^3-7x^2-ax-28
(x-4) is a factor of 5x^3-7x^2-ax-28
=>p(4)=0
=>5(4)^3-7(4)^2-4a-28=0
=>320-112-4a-28=0
=>-4a=-180
=>a=180/4
=>a=45
Step-by-step explanation:
x=a
Answer:
62.5
Step-by-step explanation:
P = (6.50f) - 100
All you have to do is plug in 25 for f in the equation and solve for P.
P = (6.50*25) - 100
P = 162.5 - 100
P = 62.5
Answer:
C. AB=CD not necessarily true
Step-by-step explanation:
A.
AD = DB True because the width of the compass was the same and hence the radius was same for both centers A and B
B. AE=EB True
CD makes the perpendicular bisectors if arcs are made with compass of same width
C. AB=CD . There is no property which says that it is necessarily true
D. AC=CB True because the width of the compass was the same and hence the radius was same for both centers A and B
Answer:
Check the explanation
Step-by-step explanation:
The odds are 4 to 1 against, so we can estimate the probability of success (p) as
The expected pay for every success is 3 to 1, so we lose $1 for every lose and we gain $3 for every win.
The number of winnings in the 100 rounds to be even can be calculated as:
We have to win at least 25 rounds to have a positive payoff.
As the number of rounds is big, we will approximate the binomial distribution to a normal distribution with parameters:
The z-value for x=25 is
The probability of z>1.25 is
P(X>25)=P(z>1.25)=0.10565
There is a 10.5% chance of having a positive payoff.
NOTE: if we do all the calculations for the binomial distribution, the chances of having a net payoff are 13.1%.