Answer:
There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds
Step-by-step explanation:
Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96. 
The margin of error (E) is given by:

The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)
The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds
6+0=6
When you add any number to 0, that number stays the same since you aren’t adding anything to it. So the answer is 6.
Answer:
Option (3)
Step-by-step explanation:
Since, flowerbed is in the shape of a right triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
(Hypotenuse)² = (12)² + (12)²
(Hypotenuse)² = 144 + 144
Hypotenuse = √288
Hypotenuse = 16.97
≈ 17 ft
Perimeter of the triangle = Sum of the measures of three sides of the triangle
= 12 + 12 + 17
= 41 ft
Therefore, Option (3) will be the correct option.
Answer:
Options (1) and (5)
Step-by-step explanation:
Expression that defines the function is,

Option 1





So,
is false.
Option 2
f(0) = 
= 
True.
Option 3
f(1) = 
= 
= 2
Therefore, f(1) = -1 is false.
Option 4



Therefore, f(2) = 1 is false.
Option 5
f(4)



True.
Options (1) and (5) are the correct options.
Answer:
Non-Linear
Step-by-step explanation: