Answer:
The Alans's average for the course is 84.5
Step-by-step explanation:
We are given
There are 4 tests, A Term paper and a Final examination.
Score = 92, 78, 82, 90.
Term paper score = 80
Final examination score = 86
Weighted mean = ∑ w.f/∑w
also the sum of all the weights is 100% = 1
weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1
= 51.3 + 33.2
= 84.5
Therefore the Alans's average for the course is 84.5
Answer:
The height of the Eiffel Tower will be 318 feet.
Step-by-step explanation:
Please check the attached graph.
From the diagram, it is clear that Lizbeth is 5.5 ft tall, seeing the top from 318 feet away, making an angle of elevation to be 72⁰.
The diagram makes a right-angled triangle.
- Given the angle = Ф = 72⁰
- Hypotenuse = the height of the Eiffel Tower = c ?
Pythagorean Theorem:
For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:
feet
Therefore, the height of the Eiffel Tower will be 318 feet.
The x-intercept of the linear equation is the value of x when y is equal to zero. From the given equation above,
y = 0.33x
When y is zero,
0 = 0.33x ; x = 0
When y is zero, x is also zero. This means that the school will not receive any amount when they are unable to sell anything.
Answer:
y = -4/5x - 0.8
Step-by-step explanation:
A(-6, 4)
B(4, -4)
Find slope using the two points above:
m = (y₂ - y₁) / (x₂ - x₁)
= (-4 - 4) / (4 - (-6))
= -8 / 10
m = -4/5
Find y-intercept using m from above and anyone point, let's use (-6, 4):
y = mx + b
4 = -4/5(-6) + b
4 = 24/5 + b
b = -0.8
Use m and b from above to form equation of line:
y = mx + b
y = -4/5x - 0.8
