Answer:
A (0,3)
Step-by-step explanation:
The given trapezoid has vertices:
(0,6), (7,12), (7,9) and (0,12).
We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.
Note that the mapping for such a dilation is:
This implies that:
Therefore correct choice is (0,3)
Answer:
m=-1
Step-by-step explanation:
Slope is:
m=(y1-y2)/(x1-x2)
Let's choose two values for (x1,y1) and (x2,y2)
x1=-2
y1=0
x2=0
y2=-2
Plug into slope formula:
m=(0-(-2))/(-2-0)
m=2/-2=-1
15+18+16=49 This is your total number of balls.
You have 15/49 green balls. Plug this fraction into a calculator: 15÷49. You get 0.306 To make this a percentage, multiply it by 100. You get 30.6 which rounds up to 31%. The probability of taking out a green ball is 31%. You can find the probability of the other colors by repeating the process. Message me if you have more questions.
Answer:
That probability is 0.1838 or 18.4% or enter 18.4
Step-by-step explanation:
mean 35 sd 5
20 is 3 sd s to the left of the mean
30 is 1 sd to the left.
The empirical rule has 68% within 1 sd or 34% on one side
It has 95% within 2 sd or 47.5% on one side
It has 99.7% within 3 sd or 49.85% on one side
Therefore between 3 sd and 1 sd on one side is 49.85-34=15.85% or enter 15.9
mean of 48 sd 7
between 48 and 55 is between -1 and 0 sd or 34% enter 34. The last one doesn't seem to post easily:z=(x-mean)/sd or z< (1217-1481)/293 or z <-264/293 or -0.901,
That probability is 0.1838 or 18.4% or enter 18.4
QT = 36
Step-by-step explanation:
Step 1 :
Lines RT and SV are the diagonals of the parallelogram RSTV.
Step 2 :
The diagonals of a parallelogram bisect each other . (Properties of a parallelogram)
Step 3 :
Given that the diagonals RT and SV intersect at Q, we have QT = RQ.
=> 5 x + 1 = 3 x + 15
=> 5 x - 3 x = 15 -1
=> 2 x = 14
= > x = 7
Step 4:
QT = 3 x + 15
=> QT = 3 * 7 + 15
=> QT = 21 + 15 = 36
