F + s = 10
| f - s | = 18
-------
This means that:
f = 10 - s
And also that:
| f - s | = 18
(f-s)²=18²
f²- 2sf + s² = 324
But f=10-s
So...
(10-s)² - 2s(10-s) + s² = 324
(10-s)(10-s) - 20s + 2s² + s² = 324
100 - 20s + s² - 20s + 2s² + s² = 324
4s² - 40s + 100 = 324
4s² - 40s + 100 - 324 = 0
4s² - 40s - 224 = 0
1/4 * (4s² - 40s - 224) = 1/4 * 0
s² - 10s - 56 = 0
(s-14)(s+4)=0
So s can be either 14 or -4.
When s = 14, f = -4.
When s = -4, f = 14.
The prime numbers on the dice are 1,2,3,5 and 7 , the theoretical probability is
![\frac{5}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B8%7D%20)
, which is 62.5%, the number of prime numbers in the outcome is 15, so the experimental probability is
![\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20)
, which is 75%, the difference between the experimental probability and the <span>theoretical probability is 12.5%.</span>
Answer:
2727
Step-by-step explanation:
The formula for finding the volume of a cone is
1/3πr²h
The radius would be 11.5 because, radius equals the diameter divided by two.
So, first you would plug your numbers into the equation
1/3(π)(11.5)²(19.7)
*use 3.14 for pi
Then multiply.
V = 2726.9 (2727 if you round to the nearest whole number)
Answer:
No.
Step-by-step explanation:
Your keyword here is "given." If we calculate the probability of an event, GIVEN that one event occurs, too, then we have dependent events, because the outcome of one event relies on the other. For this scenario, you have the probability of absence on any day of the week is 0.08, but then they say "well, but if it's Friday, that probability actually goes up quite a bit." This tells you that your events aren't independent because the day being Friday increases the chances of a student being absent from the baseline 0.08 probability.
No it is not greater than 0.88