Answer:
146°
Step-by-step explanation:
Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.
Solution:
Given that:
arc AB = 64° and ⦣ABC=73°
The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.
Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:
arc AC = 2 * ⦣ABC
substituting:
arc AC = 2 * 73
arc AC = 146°
We can subtract from the number of strings of length 4 of lower case letters the number of string of length 4 of lower case letters other than x. Thus the answer is 264 − 254 = 66,<span>351</span>
Answer: B
Step-by-step explanation:
7-2=5
17-16=1
You are trying to find the difference that equals 3 and is near those range of numbers.
The numbers are 11 and 14.
Answer:
38.11%
Step-by-step explanation:
Given that:
Mean (μ) = 75, standard deviation (σ) = 5
Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:
To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.
For x = 73, the z score is:
For x = 78, the z score is:
From the probability distribution table:
P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%