Answer:
7/9 or 2/9, depending on the question!
Step-by-step explanation:
Probability that next sundae has nuts is 14/18 = 7/9.
Probability that the next sundae does not have nuts = 2/9
Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
Answer:
y= -2/5x - 6
Step-by-step explanation:
Use Rise/Run with any of the given points! You go up two, left 5. That proves the slope is -2/5. The line hits the Y axis at -6, so the y-intercept is -6!
I hope this helps!!
Answer:
Step-by-step explanation:
x decreases w/o bound, so x becomes a very large -ve no.
f(x)=5^(x-1) becomes 5^(large -ve no.) which will be almost zero
x increases w/o bound, so x becomes a very large +ve no.
f(x)=5^(x-1) becomes 5^(large +ve no.) which will keep increasing w/o bound
if u provide wat the choices are from ur Q in comments, i will pick the right one 4 u
Answer:
a. (b) 2.5
b. (b) 1.89
Step-by-step explanation:
E(X) =0(0.05)+1(0.25)+2(0.35)+3(0.15)+4(0.15)+5(0.15)= 2.5
