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
Answer:
18 miles
Step-by-step explanation:
<u>Let </u>
- The number of miles = x .
<u>According</u><u> to</u><u> Question</u><u> </u><u>,</u>
- 100 + 0.5(x) = 40 + 0.8(x)
- 100 + 0.5x = 40+ 0.8x
- 100 - 40 = 0.8x - 0.5x
- 60 = 0.3x
- x = 60/3 * 10
- x = 18
Answer:
$144
Step-by-step explanation:
Let the money which Siti has be x
Therefore, the money June has will be x+240
First condition is that June gave 25% of her money to Siti, So this amount will be deducted from June's money and will be added in Siti's money.
Siti's money = x+ [25%(x+240)] June's money = x+240-[25%(x+240)]
= 1.25x + 60 = 0.75x + 180
Second condition is that Siti now gave 20% of her money to June.This amount will be deducted form Siti's money and added in June's money.
Siti's money = 1.25x+60-[20%(1.25x+60)]
= x+48
June's money = 0.75x +180+[20%(1.25x+60)]
= x+192
Difference between Sitit and June's money = x+192-x-48
= 144
Hence, June has $144 more money than Siti.
To find the perimeter, you would add all the sides. Because we know the perimeter, we can represent this as an equation that needs solved.
362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
-2 -2
<u>360</u> = <u>6x</u>, divide both sides by 6
6 6
x = 60 feet
side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet
check your work: 60 + 120 + 182 = 362 feet
