Answer:
The answer is: 
Step-by-step explanation:
we are asked to subtract
from 
so,
.
Hence the desired result is:
.
Answer:
a) 0.00031
b) 0.0017
c) 0.31
d) 0.00018
Step-by-step explanation:
attached below is the detailed solution
Total number of 7-poker cards are 52P7 = 133784560
A) Determine the probabilities of Seven-card straight
probability of seven-card straight = 0.00031
B) Determine the probability of four cards of one rank and three of a different rank
P( four cards of one rank and three of different rank ) = 0.0017
C) Determine probability of three cards of one rank and two cards of each two different ranks
P( three cards one rank and two cards of two different ranks ) = 0.31
D) Determine probability of two cards of each of three different ranks and a card of a fourth rank
P ( two cards of each of three different ranks and a card of fourth rank ) = 0.00018
Answer: 3 · 30= 90
Step-by-step explanation:
yes you are correct
Answer:

Explanation:
While solving literal equations could be quite overwelhming, simply solve it by using normal equation solving methods.
For example, if you were to solve 2x + 3 = 9
You would add 3 on both sides and divide both sides by 2 to determine x.
Do the same thing for literal equations, and if in doubts, plug in numbers to check your work.
Step-by-step explanation:
For this problem, add c on both sides, we do this because we are aiming to eliminate the c from both sides.
a+c =2b
In order to find the value of b, divide both sides by 2, we do this because we want to get rid of the coefficient.
This should leave you with the answer of b=a/2 + c/2
Step-by-step explanation:
Explanation:
Because
(2,6) is in the function, we can plug
6 as y
and
2 as x.
From that we get
6=a(2−1)2+k
6=a+k
Same for the next point:
12=a(3−1)2+k
12=22a+k
12=4a+k
Now we have this system of equations to solve:
a+k=6
4a+k=12
Solving it leads to the conclusion that
a=2,k=4 .