Answer:
P (arts) = 0.25
P (psychology) = 0.25
P (geology) = 0.5
Step-by-step explanation:
Let the probability of choosing art = x
As given that she is equally likely to choose art or psychology and twice as likely to choose geology.
So,
P (arts) = x = P (psychology)
P (geology) = 2x
The sum of the probability = 1
So,
P (arts) + (psychology) + P (geology) = 1
x + x + 2x = 1
<u>x = 0.25</u>
<u>P (arts) = x = 0.25</u>
<u>P (psychology) = x = 0.25</u>
<u>P (geology) = 2x = 2*0.25 = 0.5</u>
Answer:
17
Step-by-step explanation:
Range is the difference of the highest and lowest number in the data set
Answer:
Step-by-step explanation: first one is (d) you multiply base and hight and than multiply it with 12 which will convert it into inches
Answer:
11x^2+x-1
Step-by-step explanation:
To do so, just add the two polynomials together as such:
11x^2 +0x-5 plus
0x^2+1x-4 equals
11x^2+x-1
Answer:
474.84 ft of fencing is needed
Step-by-step explanation:
We know that the angles of a triangle sum up 180º. We already know 2 of the triangle's angles (55º and 63º). Therefore the third angle measures:
180 - 55 - 63 = 62.
To know how much fencing is needed, we need the perimeter of the triangle, so we need to find out how much the other sides of the lot measure.
We will use law of sins to solve this problem.
First we solve for y:

Now we solve for the other side of the lot, x:

Now that we have the measures of all the sides we sum them up
total fencing needed= 150 + 163.16 + 161.68 = 474.84