Answer:
x=12
Step-by-step explanation:
Answer:-2/3 gallon per minute
-2/3 gallon per minute
Step-by-step explanation:
Answer:
(2a + 1)(2a - 5)
Step-by-step explanation:
Given
4a² - 8a - 5
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the a- term
product = 4 × - 5 = - 20 and sum = - 8
The factors are + 2 and - 10
Use these factors to split the a- term
4a² + 2a - 10a - 5 ( factor the first/second and third/fourth terms )
= 2a(2a + 1) - 5(2a + 1) ← factor out (2a + 1) from each term
= (2a + 1)(2a - 5)
We need to correctly choose exactly 4 out of the 6 drawn numbers.
Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38
Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494
<span>(4x^3/16x^5)^1/2
= ((4/16) * x^(3-5))^1/2
= ((1/4) * x^-2 ) ^1/2
= 1/ 2x</span>
