Answer:
Tina is first
Tony is first
Theo is first
Step-by-step explanation:
Events with greater probability are more likely.
Let's put the probabilities in decimal form.
P(Tina is first) = 0.05
P(Theo is first) = %85 = 0.85
P(Tony is first) = 1/10 = 0.1
0.05 < 0.1 < 0.85
The events are listed below from least to most likely.
Tina is first, Tony is first, Theo is first
hope it helps
The center of the dilation is the origin, and the scale factor is 2.
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).
Answer: x = -5 1/7
Step-by-step explanation:
-22 - x = 5 + 6x + 9
First, combine the like terms 5 and 9
5 + 9 = 14
-22 - x = 14 + 6x
Add x to each side
-22 = 14 + 7x
Subtract 14 from each side
-36 = 7x
Divide each side by 7
x = -5 1/7 (Yes, a fraction.)
Answer:
45.45
Step-by-step explanation:
25 is 55% of What Number? - 25 is 55% of 45.45. 100% of 45.45 is 45.45, therefore 55 percent of 45.45 equals 25.
Answer:
x=±1. are the factors of the quadratic equation.
Step-by-step explanation:
Given quadratic expression, f(x)=-12x - 2x + 60x² +14x-60
Rearranging and adding the terms in the expression and equating to zero.
f(x)= 60x² -60=0
60(x² - 1) =0
The zero product property states that if the product of a⋅b=0 then either a or b equal zero or both of them must be equal to zero. This basic property helps us solve the quadratic equations like (x+2)(x-5)=0 where x =-2,5.
from the zero product property we can infer that 60≠0⇒x² - 1=0
⇒(x+1)×(x-1) = 0
⇒x=±1.
Therefore, x=±1. are the factors of the quadratic equation.