Answer:
11
Step-by-step explanation:
6 + (8 ÷ 2) - 2 + (4 - 1) =
6 + 4 - 2 + 3 =
11
have a nice day! :)
4¹ = 4
4² = 16
4³ = 64
4⁴ = 256
(4⁵ = 1,024 too big)
Average speed is given by [Total Distance] ÷ [Total Time]
Average speed =
km/hour
Answer:
a. The probability that a customer purchase none of these items is 0.49
b. The probability that a customer purchase exactly 1 of these items would be of 0.28
Step-by-step explanation:
a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:
let A represents suit
B represents shirt
C represents tie
P(A) = 0.22
P(B) = 0.30
P(C) = 0.28
P(A∩B) = 0.11
P(C∩B) = 0.10
P(A∩C) = 0.14
P(A∩B∩C) = 0.06
Therefore, the probability that a customer purchase none of these items we would have to calculate the following:
1 - P(A∪B∪C)
P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)
= 0.22+0.28+0.30-0.11-0.10-0.14+0.06
= 0.51
Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49
The probability that a customer purchase none of these items is 0.49
b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:
= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2 P(A ∩ B ∩ C))
=0.51 -0.23 = 0.28
The probability that a customer purchase exactly 1 of these items would be of 0.28
Answer:
The regular polygon that she should use is an equilateral triangle
Step-by-step explanation:
The parameters given are;
Interior angles = 0.5 × Exterior angles
Exterior angles of a regular polygon = 360/n
Sum of interior angles of a regular polygon = (n - 2) × 180
Where n = the number of sides
Therefore, the sum of exterior angles of a regular polygon = 360°
Hence we have;
(n - 2) × 180 = 360/2 = 180
n - 2 = 180/180 = 1
n = 1 + 2 = 3 which is a three sided regular polygon or an equilateral triangle
Therefore, the regular polygon that she should use is an equilateral triangle
