The image is not attached with, but by reading the question it is obvious that the blue region lies inside the larger square and outside the smaller square. That is the region between the two squares is the blue region.
We know the dimensions of both squares, using which we can find the area of both squares. Subtracting the area of smaller square from larger one, we can find the area of blue square and further we can find the said probability.
Area of larger square = 8 x 8 = 64 in²
Area of smaller square = 2 x 2 = 4 in²
Area of blue region = 64 - 4 = 60 in²
The probability that a randomly chosen point lies within the blue region = Area of blue region/Total area available
Therefore, the probability that a point chosen at random is in the blue region = 60/64 = 0.9375
Answer:
27%
Step-by-step explanation:
In the row Students ages 14-17 and column skip breakfast, there are 24 students.
In row total and column total, there 90 students.
24/90 are students age 14-17 who skip breakfast
24/90 = 12/45 = 0.26666667
Percent = decimal x 100
Percent = 0.26666667 x 100 = 26.666667
26.666667 is rounded to 27%
Hope this helps :)
Have a nice day!
Answer:
6t = -21
Step-by-step explanation:
3t-7 = 5t simplifies by subtracting 5t on both sides, then adding 7 on both sides:
3t -5t -7 +7 = 5t-5t+7
-2t = 7
t = -7/2
Then 6t = 6*-7/2 = -21
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
If you mean 4 / (11/8)
= 4 * 8/11
= 32/11
= 2 10/11
= 2.909