Answer:
154.7°
Step-by-step explanation:
Formula for calculating length of an arc = theta/360× 2πr
Where r is the radius
theta is the angle subtended by the arc
Given length of an arc = 27in
Radius of the circle = 10in
Substituting this values in the formula to get theta
27 = theta/360 × 2π(10)
27 = theta/360×20π
20π × theta = 360×27
62.832 × theta = 9720
theta = 9720/62.832
theta = 154.7°
Answer:
b
Step-by-step explanation:
A.
0.433
B.
0.564
C.
0.905
D.
0.403
Answer:
Probability (P) (k successes out of n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n! / (k! * (n-k)!)
for this problem n=20, p = 1/6(probability of rolling 1 two) is approximately 0.1667
P ( of getting more that 3 two's) = 1 -P(0 two's out of 20 trials) -P(1 two out of 20 trials) -P(2 two's out of 20 trials) -P(3 two's out of 20 trials)
P ( of getting more that 3 two's) = 1 -0.026 -0.104 -0.198 -0.238 = 0.434
My answer is A
The ratio of right-handed people to total people at the party is calculated by dividing both the number of right-handed people and the total number of people by their greatest common divisor (GCD). In this case, the ratio in simplest form is 35:41.
To answer this question, one needs to understand the concept of ratios. In this case, we are looking for the ratio of right-handed people to the total number of people at the party.
Start by adding the number of right-handed and left-handed people to get the total number of people: 70 (right-handed) + 12 (left-handed) = 82 (total).
The next step involves setting up the ratio. The number of right-handed people (70) is set over the total number of people (82). So, the ratio is 70:82.
To reduce the ratio to lowest terms, you find the greatest common divisor (GCD) of both numbers. The GCD of 70 and 82 is 2. Divide both numbers by their GCD to get the ratio in simplest form: 70 ÷ 2 = 35 and 82 ÷ 2 = 41. Therefore, the ratio of right-handed people to the total number of people at the party in simplest form is 35:41.
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