Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
Answer:
$126000
Step-by-step explanation:
Gross salary per month = $10500
Gross salary per annum
= Gross salary per month × 12
= $10500 × 12
= $126000
Answer:
12.3
Step-by-step explanation:
Step 1
We find the mean
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100
Mean = Sum of terms/Number of terms
Number of terms = 10
Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10
Mean = 844/10
Mean = 84.4
Step 2
Standard deviation
The formula for sample standard deviation =
√(x - Mean)²/n - 1
= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1
=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1
= √1364.4/9
= √151.6
= 12.31259518
Approximately to the nearest tenth = 12.3
The standard deviation = 12.3
Answer:
1. 9/25 units^2
2. s = 1/4 unit
3. = 8/27 units^3
4. s = 3/4 unit
Step-by-step explanation:
1. The area of a square is A=s^2
A = (3/5)^2
= (3/5) *(3/5)
= 9/25 units^2
2. The area of a square is A=s^2
1/16 = s^2
Take the square root of each side
sqrt(1/16) = sqrt(s^2)
1/4 = s
s = 1/4 unit
3. The volume of a cube is V = s^3
V = (2/3)^3
= (2/3) (2/3) (2/3)
= 8/27 units^3
4.The volume of a cube is V = s^3
27/64 = s^3
Take the cube root of each side
(27/64)^(1/3) = (s^3)^(1/3)
3/4 = s
s = 3/4 unit
Answer:
3(n-8)
Step-by-step explanation:
