Answer: P(5A) = 0
Step-by-step explanation:
There are four aces in total in a 52 card deck. Therefore the probability of getting 5 aces can be expressed as;
P(5A) = 4/52 × 3/51 × 2/50 × 1/49 × 0/48 = 0
Therefore, it is impossible to get 5 aces from a standard 52 cards deck
Answer:
24 months
Step-by-step explanation:
Cross-multiply
0.5 inches -------------- 1 month
12 inches ---------------- x months
0.5/12 = 1/x ===> 0.5x = 12 ===> x = 12/0.5 ===> x = 24 months
Answer: range= 26, variance= 80 and standard deviation= 8.94
Step-by-step explanation:
Range = highest - lowest
Range = 146 - 120
Range= 26
Let m be mean
M=mean=sum/n
Mean=(120+134+146+127+138+133) / 6
M=798/6
M=133
The standard deviation sample formula:
S.D = sqrt( Summation of |x-m|^2 / n-1)
Let start finding:
|x-m|^2
For 1st: |120-133|^2=169
For 2nd: |134-133|^2=1
For 3rd: |146-133|^2=169
For 4th: |127-133|^2=36
For 5th: |138-133|^2=25
For 6th: |133-133|^2=0
Summation of |x-m|^2 = 400
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(400 / 5)
S.D=sqrt(80)
S.D= 8.94
Variance = (Summation of |x-m|^2 / n-1)
Variance= 400/5
Variance= 80
No it's as n example of a equality
Answer:
the length of the ramp is 25 meters
Step-by-step explanation:
Joe is making a ramp. Ramp forms a right angle triangle with the base
So we use Pythagorean theorem to find the length of the ramp
AC^2(hypotenuse) = AB^2 + BC^2
Length of ramp is the hypotenuse = 
=
= 
= 
= 25
so the length of the ramp is 25 meters
