Answer:
Step-by-step explanation:
<u>Total number of outcomes:</u>
<u>Number of combinations of getting 6 heads:</u>
- 15C6 = 15!/6!(15-6)! = 5005
<u>Required probability is:</u>
- P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%
Correct choice is D
The required value of Arc BC m = 140° Option B is correct.
Given that,
AD is the diameter of the circle,
∠1 = ∠3 = 20°
Arc BC is to be determined.
<h3>What is an arc?</h3>
Arc is the measure of angle on the circumference of circle.
Here,
∠1 = arc AB
∠3 = arc CD
Now, for circle p
Since angle 1 and angle 2 are equal to the composition of the arc,
Arc AD = Arc AB + Arc BC + Arc CD = 180
20 + Arc BC + 20 = 180
Arc BC = 180 - 40
Arc BC = 140°
Thus, the required value of Arc BC m = 140° Option B is correct.
Learn more about arc here:
brainly.com/question/18741430
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Answer:
36
Step-by-step explanation:
You have to split it into 3 different sections,
multiply base times height and
all the answers you got.
Answer:
(-3, 2)
Step-by-step explanation:
Since you are reflecting over the y-axis (the vertical axis), you are flipping the figure over to the left. As a result, you are going over to -3 and up to 2
The length of the diagonal of the rectangle will be 14.142 units.
<h3>What exactly is a rectangle?</h3>
It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.
Rectangle diagonals are equally equal and meet at the midpoint.
O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.
Area of circle=πr²
100 π= πr²
r= 10 units
The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2 times the side of the rectangle;
L=√2 R
L=1.414×10
L=14.14
Hence the length of the diagonal of the rectangle will be 14.142 units.
To learn more about the rectangle, refer to the link brainly.com/question/13747846.
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