It's C I looked it up for you I promise it's right :D
Answer:
x = -2
Step-by-step explanation:
<u><em>First, you need to subtract 8x from both sides:</em></u>
8x – 4 = 13x + 6
-8x -8x
____________
-4 = 5x + 6
<em><u>Then, subtract 6 from both sides:</u></em>
-4 = 5x + 6
-6 - 6
________
-10 = 5x
<u><em>Lastly, divide both sides by 5:</em></u>
-10 = 5x
-2 = x
The area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
As we know, the area of the circle is given by:
A = πr²
r = 21 in
A = 3.14(21)² = 1384.74 square in
Area of the triangle:
a = (39)(20)/2 = 390 square in
The area of the shaded region = 1384.74 - 390 = 994.74 square in
Thus, the area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
Answer:
12 prob
Step-by-step explanation:
27.034%
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be:
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times.
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.
So
P(4) = 0.171532242
P(5) = 0.073513818
P(6) = 0.021003948
P(7) = 0.003857868
P(8) = 0.000413343
P(9) = 0.000019683
And
0.171532242 + 0.073513818 + 0.021003948 + 0.003857868 + 0.000413343
+ 0.000019683 = 0.270340902
So the probability of getting a parking space at least four out of the nine months is 27.034%
