Answer:
35triangles
Step-by-step explanation:
Given
Total distinct points = 7
If we are to form triangles using the dots,
Total points in a triangle = 3
Using the combination rule;
number of triangles formed = 7C3
7C3 = 7!/(7-3)!3!
7C3 = 7!/4!3!
7C3 = 7*6*5*4!/4!3!
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence the amount of triangles that can be formed is 35triangles
Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
<h3>What is the Length of an Arc?</h3>
The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
Arc length = ∅/360 × 2πr
Since the sector formed is a quarter circle, then ∅ = 90°.
Raidus (r) = 70 ft
Distance from the starting point to the return point = arc length.
Arc length = ∅/360 × 2πr = 90/360 × 2π(70)
Arc length = 109.9 feet
Therefore, based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
Learn more about the arc length on:
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Answer:
5.10 people
Step-by-step explanation:
Calculation to Find the standard deviation for the number of people with the genetic mutation
Using this formula
Standard deviation = √ ( n * p * q)
Where,
n = 400
p = .07
q = 100%-7% = 93% or .93
Let plug in the formula
Standard deviation =√400*07*.93
Standard deviation =√26.04
Standard deviation = 5.10 people
Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.
Answer:
Choice D
Step-by-step explanation:
38/4 =9.5
Therefore, this number is between 9 and 10
Note:
38/4 = 9 remainder 2
Hence, the quotient is 9 which is a whole number
First calculate total payments
18×95.25=1,714.5
After that to find the interest you just subtract the amount borrowed from the total payments
Interest=1,714.5−1,450=264.5
Hope it helps!
