Answer: 0.0791
Step-by-step explanation:
Given : The probability that a baseball player will get a hit in any one at bat is 0.250.
Let x be the first hit.
According to the geometric probability , the probability that x (th) trial is the first success =
, where p is the probability of getting success in each trial.
As per given p= 0.250
Then, the probability that he will get his first hit on his 5th at bat will be :

Hence, the probability that he will get his first hit on his 5th at bat is 0.0791 .
Hanna bought 85 candies and ate 20 of them. How many candies are left?
Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
Answer:

Step-by-step explanation:
![[ \ x^ 2- 1 = (x-1)(x + 1) \ ]](https://tex.z-dn.net/?f=%5B%20%5C%20x%5E%202-%201%20%3D%20%28x-1%29%28x%20%2B%201%29%20%5C%20%5D)
![[\ Taking \ LCM \ ]](https://tex.z-dn.net/?f=%5B%5C%20Taking%20%5C%20LCM%20%5C%20%20%5D)

<em><u>Finding LCM :</u></em>
Example :
6 = 2 x 3
3 = 1 x 3
[ To make the denominators same : the second fraction is multiplied and divided by 2 ]
Similarly :

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )
Therefore the second term becomes ,
