Answer: 0.32768
Step-by-step explanation:
Let x= number of employees have college degree.
Binomial probability formula :
, where p probability of success in each trial , n= sample size, x= number of successes.
As per given , p =0.80 , n= 5 , x=5
![P(x=5)=\ ^5C_5(0.8)^5(0.2)^{0}= (1)(0..8)^5(1)\ \ \ [\ ^nC_n=1]\\\\= 0.32768](https://tex.z-dn.net/?f=P%28x%3D5%29%3D%5C%20%5E5C_5%280.8%29%5E5%280.2%29%5E%7B0%7D%3D%20%281%29%280..8%29%5E5%281%29%5C%20%5C%20%5C%20%5B%5C%20%5EnC_n%3D1%5D%5C%5C%5C%5C%3D%200.32768)
Hence , the probability that all 5 will have college degrees = 0.32768
The answer is eighty because you have to divide five into 133
Answer:
y = 4/3x - 4
Step-by-step explanation:
to find the equation of a line with 2 points, we use the slope formula which is:

we will use (6,4) as
and we will use (-3,-8) as
. we plug this into the slope formula:

-8 - 4 = -12
-3 - 6 = -9
the slope is 
but we can simplify this further by dividing the fraction by -3
-12 / -3 = 4
-9 / -3 = 3
the simplified version of the slope is 
we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope
y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)
4 = 4/3(6) + b < multiply 4/3 x 6
4 = 8 + b < subtract 8 from both sides
-4 = b
our y intercept would be (0,-4)
the equation looks like the following:
y = 4/3x - 4, which is our answer
First, change the fractions to a common denominator, which is 21.
so 3/7 * 3/3 = 9/21
1/3 * 7/7 = 7/21
Add the two together
9/21 + 7/21 = 16/21
Then take 21/21 - 16/21 = 5/21
There is 5/21 of the pizza left.