Answer:
Step-by-step explanation:
We have been given a table to voters and their ages. We are asked to find the probability that a voter is younger than 45.
Voting age Voters
17-29 9
30-44 8
45-64 32
65+ 15
We can see from our given table that age of 17 (9+8) voters is between 17 to 44 years.
To find the probability that a voter is younger than 45, we will divide 17 by total number of voters.
Therefore, the probability that a voter is younger than 45 is 0.27.
<span>$132 / 16 = $8.25
answer
</span> rate = $8.25 per hour
Remember that the general formula for a circle is <span>
(x – h)</span>² + (y – k)² = r²<span>, where (h,k) is the coordinate of the center.
We already know that (h,k) = (5,-4), since we know the center's coordinates. We need to find r, the radius, using the distance between the center and the point (-3,2).
To do this, we can either use the distance formula, or plug in the points in our circle equation and solve for r.
Let's do the second one, plugging in and solving for r.
We can use the point (-3,2) for (x,y):
</span>(x – h)² + (y – k)² = r²
(-3 - 5)² + (2 - -4)² = r²
(-8)² +(6)² = r²
64 + 36 = r²
100 = r²
r = 10
We know that r=10, and that r² = 100
Using h, k, and r, we can now solve for the equation of the circle in standard form.
The equation of the circle is:
(x – 5)² + (y + 4)² = 100
The answer is b because I took it and got it w
Answer:
30°, 30° and 120°
Step-by-step explanation:
Using the information given in the question.
let x be the measure of each congruent base angle , then
the third angle = 3x + 30
Sum the 3 angles and equate to 180
3x + 30 + x + x = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Thus
The 2 congruent bas angles are each = 30°
The third angle = 3x + 30 = 3(30) + 30 = 90 + 30 = 120°
