Hello ;
<span>an = 1 • 3n - 1</span>
Answer:
see below
Step-by-step explanation:
g(x) = (x) -5
Let x = -5
g(-5) = -5 -5 = -10
Let x= 0
g(0) = 0-5 = -5
Let x= 5
g(5) = 5-5 = 0
Answer:
75% of the households have between 2 and 6 televisions
Step-by-step explanation:
From the question, we can deduce the following;
sample size n= 8
sample mean μ = 4
standard deviation σ = 1
Using Chebychev’s theorem;
P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)
= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)
Answer:
Total Paperback books = 8x , where x is any positive number
Step-by-step explanation:
Let
The total books are = 13x ; where x is any positive number
As given,
The ratio of hardback books to total books is 5 to 13.
⇒Hardback books = 
× Total books
⇒Hardback books = × 13x = 5x
So, Paperback books = Total books - Hardback books
= 13x - 5x
= 8x
⇒Total Paperback books = 8x
The surface area of a cone is equal to the base plus the lateral area.
The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.
To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433
The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)
Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
