Answer:
The probability of selecting two Democrats and two Republicans is 0.4242.
Step-by-step explanation:
The information provided is as follows:
- A city council consists of seven Democrats and five Republicans.
- A committee of four people is selected.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:

Compute the number of ways to select four people as follows:

Compute the number of ways to selected two Democrats as follows:

Compute the number of ways to selected two Republicans as follows:

Then the probability of selecting two Democrats and two Republicans as follows:

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.
Answer:
option 2 or y + x -2 = 0
Step-by-step explanation:
Given a line on a graph, it is easiest to start with point-slope form.
y = mx + b
where m is the slope (rise/run) and b is the y-axis intercept.
From the plot m = -2/2 = -1 and b = 2 SO
y = mx + b
y = -x + 2
Then the general form is
y + x -2 = 0
The perimeter of the composite shape is: (3π + 12)mm
<h3>What is a semicircle?</h3>
A semicircle is a part of a circle cut through its diameter.
Analysis:
perimeter of a semicircle = πr
where r = 6/2 = 3mm
perimeter of a semicircle = π(3) = 3π
perimeter of incomplete rectangle = L+2B, L = 6mm, B = 3mm
perimeter of rectangle = 6mm +2 x 3= 12mm
perimeter of shape = (3π+12)mm
In conclusion, the perimeter of the rectangle is (3π+12)mm
Learn more about semicircles :brainly.com/question/285710
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18.00 your welcome friends please
Answer:
1/16
Step-by-step explanation:
1L = 1000 ml
2L = 2000mL
The ratio is 125/2000
Check to see if 2000 / 125 is a whole number
2000
÷
125
=
And it is. The answer is 16
125/2000 = 1/16