Using it's concept, it is found that the probabilities are given as follows:
a.1/2, 1/9, 5/9.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, 90 out of 180 individuals are children, hence the probability is given by:
p = 90/180 = 1/2.
Out of 90 adults, 60 - 50 = 10 preferred cheeseburgers, hence the probability is given by:
p = 10/90 = 1/9.
Of the 180 individuals, 90 are children, and 10 are adults who prefer cheeseburgers, hence the probability is given by:
p = 100/180 = 10/18 = 5/9.
Hence option a is correct.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
AB=7.21 unit
BC=6 unit
CD=7.21 unit
AD= 6 unit
AC=4 unit
BD=4 unit
Step-by-step explanation:
Coordinates of A =(-2,3)
Coordinates of B = (2,-3)
Coordinates of C = (2,3)
Coordinates of D =(-2,-3)
Distance formula :

AB=7.21 unit

BC=6

CD=7.21

AD=6


AC=4

BD=
BD=4
Answer:
58926938427
Step-by-step explanation:
Answer:
- <em><u>12 tickets</u></em>
Explanation:
You must assume that the ratio of the number of tickets in row 7 is a constant.
That permits you to set a proportion with the ratio of the number of tickets in row 7 for the first batch of tickets and the ratio of the number of tickets in row 7 for the next 33 tickets sent out:
<u>1. Ratio of number of tickets in row 7 for the first batch.</u>
- Number of tickets in row 7: 20
- Total number of tickets: 20 + 19 + 16 = 55
- Ratio: 20/55
<u>2. Ratio of number of tickets in row 7 in the next 33 tickets sent out:</u>
- Number of tickets in row 7: x
- Total number of tickets sent out: 33
- Ratio: x/33
<u>3. Proportion</u>
Set the proportion and solve for x:

Answer: 12 tickets
Answer:
The area of trapezoid is 32 inches^2
Step-by-step explanation:
Parallel base 1 = a = 3 inches
Parallel base 2 = b = 5 inches
Height of trapezoid = 8 inches
We need to find area of trapezoid
The formula used is: 
Now putting the values and finding area of trapezoid

So, the area of trapezoid is 32 inches^2