Answer:
1/2, or 50%
Step-by-step explanation:
out of the six possibilities, there are 3 odd numbers: 1, 3, 5
3 out of 6 is 1/2, therefore the probability is 1/2, or 50%
I hope this helps you
-2a^2b.4.a^5.b^2
-8.(a^2+5)(b^1+2)
-8.a^7.b^3
Answer:
see explanation
Step-by-step explanation:
Given
4
- 5a² + 1 = 0
Use the substitution u = a², then equation is
4u² - 5u + 1 = 0
Consider the product of the coefficient of the u² term and the constant term
product = 4 × 1 = 4 and sum = - 5
The factors are - 4 and - 1
Use these factors to split the u- term
4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )
4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term
(u - 1)(4u - 1) = 0
Equate each factor to zero and solve for u
u - 1 = 0 ⇒ u = 1
4u - 1 = 0 ⇒ 4u = 1 ⇒ u = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Convert u back into terms of a, that is
a² = 1 ⇒ a = ± 1
a² =
⇒ a = ± ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Solutions are a = ± 1 , a = ± ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Answer:
<em>Bethany did not do better than Richie because her average score was less than his.</em>
Step-by-step explanation:
<u>Average Value</u>
The average or mean value of m successes out of n tries is given by:
![\displaystyle \bar x=\frac{m}{n}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7Bm%7D%7Bn%7D)
During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:
![\displaystyle \bar x=\frac{12}{15}=0.8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7B12%7D%7B15%7D%3D0.8)
Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:
![\displaystyle \bar x=\frac{8}{11}=0.72](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbar%20x%3D%5Cfrac%7B8%7D%7B11%7D%3D0.72)
Bethany did not do better than Richie because her average score was less than his.