Answer:a) P(8 of the players numbers are drawn)=1.3×10^-8
b) P(7 of the players number are drrawn)=3.33×10^-c) P(at least 6 of the players number were drawn)=1.84×10^-4
Step-by-step explanation:
Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40
a) P(8 of the players numbers are drawn)= 1/40/8= 1.3×10^-8
There are one in hundred million chances that the draw numbers are precisely the chosen ones.
b) Number of ways of drawing 78 selected numbers from 1-40=8×(40-7)
8×32
P(7 of the players number are drawn)=8×32/40 =3.33×10^-6.
There are approximately 300,000 chances that 7 of the players numbers are chosen
c) P(at least 6 players numbers are drawn)= 32/2×(8/6) ways to draw.
P(at least 6 players numbers are drawn)=P(all 8 chosen are drawn)+P(7 players numbers drawn)+P(6 chosen are drawn) = 1+ 8 x32/40/8 +[8\6 ×32/2]
P(at least 6 players numbers are drawn) = 1.84×10^-4.
There are approximately 5400chances that at least6 of the numbers drawn are chosen by the player.
Answer:
0 ≤ Ф ≤ 4π.
Step-by-step explanation:
since x²+y²/2 = 1, then x²+s² = 1, with s = (y/√2)². Hence, (x,s) = (cos(Ф),sin(Ф)) and (x,y,z) = (cos(Ф),√2 sin(Ф), cos(Ф)-2). This expression evaluated in zero gives as result (1,0,-1). The derivate of this function is (-sin(Ф),√2 cos(Ф), -sen(Ф))
the norm of the derivate is √(sin²(Ф) + 2cos²(Ф)+sin²(Ф)) = √2. In order to make the norm equal to 1, i will divide Ф by √2, so that a √2 is dividing each term after derivating.
We take
Note that
Whose square norm is 1/2cos²(Ф/2)+sen²(Ф/2)+1/2cos²(Ф/2) = 1. This is te parametrization that we wanted.
The values from Ф range between 0 an 4π, because the argument of the sin and cos is Ф/2, not Ф, Ф/2 should range between 0 and 2π.
Answer:
lower your mortgage interest rate
Step-by-step explanation:
The higher your credit score, the __lower your mortgage interest rate__.
Because the higher your credit score, the less risk you represent for a lender, so it will most likely grant you a lowest rate for your mortgage/loan.
The "lower your savings interest rate
" is not the answer because savings interest rates are not related to the credit score...
"higher your car loan rate
" and "higher risk you are to a creditor
" are consequences of a low credit score.
Answer:
7
Step-by-step explanation:
Answer:
C = km
k = 95
C = 665
Step-by-step explanation:
Calories burned varies directly to miles run.
Let
C = calories burned
m = miles
C = km
Dustin burns 190 calories for every 2 miles he runs
C = 190
m = 2
C = km
190 = k2
Divide both sides by 2
k = 95
equation for the direct variation.
C = km
Find how many calories Dustin will burn after running 7 miles.
C = ?
m = 7
k = 95
C = km
C = 95 × 7
= 665
