1,2,3,4,6 are factors of 12
5/6 is the probability of getting a factor of 12
1/2 is the probability of getting a tail
5/6*1/2 = 5 /12
Answer: 5/12
Answer:166
Step-by-step explanation:
SA=2lw+2lh+2hw so 2*4*5+2*7*5+2*7*4
so 40+70+56=166
Answer:
a) 0.5588
b) 0.9984
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 24
Standard Deviation, σ = 6.4
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
a) P(score between 20 and 30)
b) Sampling distribution
Sample size, n = 22
The sample will follow a normal distribution with mean 24 and standard deviation,
c) P(mean score of sample is between 20 and 30)
Answer:
309in²
Step-by-step explanation:
Area of an octagon is expressed as;
A=2(1+√2)a²
a is the side length of the octagon
Given
a = 8
Substitute into the formula
A = 2(1+√2)(8)²
A = 2(1+√2)(64)
Expand
A = 2(64+64√2)
A = 128+128√2
A = 128+128(1.414)
A = 128+181.01
A = 309in²
Hence the area of the octagon is 309in²
Answer:
#1. x = -1
Answer = 8
#2. x = 1/5
Answer = 344/25
#3. x = 14
Answer = 13328
Step-by-step explanation:
#1. a. plug in -1
f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14
b. Solve the exponents.
(5(-1)^3)
(5x-1)
(-5) - (2(-1)^2) - (-1) + 14
(2(-1)^2)
(2x1)
(-5) - (2) - (-1) +14
c. simplify.
(-5) - (2) + 1 + 14
-7 + 15
8
#2.
f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14
(5(1/5)^3)
(5 x 1/125)
(1/25) - (2(1/5)^2)
(2 x 1/25)
(2/25)
(1/25) - (2/25) - (1/5) +14
(-1/25) - (1/5) +14
Note: (1/5) turns into (5/25) so it can be subtracted.
-6/25 + 14
Note: 14 turns into 350/25 so it can be added.
350/25 - 6/25 = 344/25
#3.
f(14)= (5(14)^3) - (2(14)^2 - (14) + 14
Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.
f(14)= (5(14)^3) - (2(14)^2)
( 5 (14^3))
(5 x 2744)
(13720) - (2(14^2))
(2 (14^2))
(2x196)
392
(13720) - 392
13328
Good Luck!
