There are 10 marbles in the bag all together.
(8/10) = 80% of the marbles in the bag are white.
So if you pull a marble out of the bag, you have an 80% chance
of pulling a white one.
And if you do it many times, you expect that you'll pull
a white one out about 80% of the times.
80% pf 45 times = 0.8 x 45 = 36 times .
Step-by-step explanation:
Answer:
The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.
Step-by-step explanation:
Let s = small boxes. Let b = large boxes.
s + b = 17
You can solve for s:
s = 17 - b
You can solve for b:
b = 17 - s
10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.
10s + 24b = 296
Substitute:
10(17 - b) + 24b = 296
170 - 10b + 24b = 296
14b = 296 - 170
14b = 126
b = 126 / 14 = 9 large boxes
Find the number of small boxes, s:
s = 17 - b = 17 - 9 = 8 small boxes
There are 8 small boxes and 9 large boxes.
Proof:
10(8) + 24(9) = 296
80 + 216 = 296
296 = 296
Answer:
Center: (4,8)
Radius: 2.5
Equation:
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;
The center is at;
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;
The equation of the circle in standard form is given by;
We substitute the center and the radius into the formula to get;