Answer:
5
Step-by-step explanation:
6x + 4 + 73 + 73 = 180
6x + 150 = 180
6x = 30
x = 5
Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.
Triangle Sum Theory states all angles of a triangle add to 180.
Answer:
Answer is A(-3/4, 1/4), B(1,3/4), C(1/2,3/4) D(1/4,1)
Step-by-step explanation:
From the attached diagram, the coordinates are:
A(-3,1), B(4,-3), C(2,3), D(1,4)
The image is gotten by dividing the coordinates by the scale factor 4 to get the above answer
Answer:
Domain is 3 <x>_-2
Range is 6 <x>_-3 (the lines are supposed to be under the >. it means equal to)
Step-by-step explanation:
First look on the x-axis, is goes from 3 to -2. now look at the colored in dot. that means more than <em>or equal to. </em>So the sign of -2 is x >_ -2. put the 3 on the other side. It stops at three so the sign is > 3. so 3<x>_ -2
Do the same with the y-axis except look up and down instead of left and right. so the numbers are 6 and -3. Use the same method above. this is set builder notation.
Answer:
<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). </em>
Step-by-step explanation:
Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply
p=(4 2)*(4 2)/(8 4)
This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence
P(X = n) = (1— p)^n-1 *( p )
<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). </em>
Answer:
Sydney = 22 years old
Step-by-step explanation:
DeVaughn = D
Sydney = S
D = 3S
D + S = 88
Substitute in 3S for D
3S + S = 88
4S = 1888
S = 22
Hope this helps :)
