Answer:
31.92%
Step-by-step explanation:
We are given;
Population mean; μ = $3.12
Sample mean; x¯ = $3.16
Sample size; n = 10
Standard deviation; σ = $0.27
Z-score formula is; z = (x¯ - μ)/(σ/√n)
z = (3.16 - 3.12)/(0.27/√10)
z = 0.04/(0.08538)
z ≈ 0.47
Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;
P(x¯ > 3.12) = 1 - P(z < 0.47)
From z-table attached P(z < 0.47) = 0.68082
Thus;
P(z > 0.47) = 1 - 0.68082
P(z > 0.47) ≈ 0.3192
This expressed in percentage is 31.92%
Answer:
The simplest radical form is 
⇒ (c)
Step-by-step explanation:
To simplify any square root;
- Factorize the number under the root using prime numbers
- Take out the root any number repeated twice as one number
<em><u /></em>
<em><u>Examples:</u></em>
1. Simplify 
factorize 8 using prime numbers
8 = 2 × 2 × 2, then 
Take two of 2 out the root, then 
2. Simplify 
factorize 18 using prime numbers
18 = 2 × 3 × 3, then 
Take the two 3 out the root, then 
Let us simplify 
∵ 45 = 3 × 3 × 5
∴ 
→ Take the two 3 out by one 3
∴ 
→ Multiply the numbers out the root
∴ 
∴ The simplest radical form is
Tan t= 8/15
cot t= 15/8
csc t=-17/8
use sohcahtoa and the reciprocals
<span> The Pythagorean theorem</span>
Answer:
G. 7600 
Step-by-step explanation:
Step 1: Deconstruct the shape
2 rectangles with dimension of 50 cm x 20 cm
2 rectangles with dimension of 40 cm x 20 cm
2 rectangles with dimension of 40 cm x 50 cm
Step 2: Find surface area of the shapes
2(50 x 20) = 2000
2(40 x 20) = 1600
2(40 x 50) = 4000
Step 3: Add the surface areas together
2000 + 1600 + 4000 = 7600
Therefore the surface area is 7600 and the answer is G.
