54, 36, 24 are the 1st 3 element of a geometric progression with 2/3 as a common ratio: PROOF:
the 1st term is 54, (a₁= 54) the 2nd term a₂ = 24, then
(a₂ = a₁.r) or 36 = 54.r → r= 36/54 = 2/3. Same logique for the 3rd term.
So 2/3 is common ratio. We know that :U(n) = a.(r)ⁿ⁻¹. Then if a =54 and r = x (given by the problem), then f(x) = 54.xⁿ⁻¹
n, being the rank of any element of this geometric progression
Answer:
B. 30
Step-by-step explanation:
Given.:
m<4 = 2x°
m<5 = 4x°
Required:
Value of x
Solution:
<4 and <5 are angles in a straight line, therefore:
m<4 + m<5 = 180°
Substitute
2x + 4x = 180°
6x = 180°
x = 180/60
x = 30
Tthe inequality that describes this graph is y ≤ 1/3x - 4/3
<h3>How to determine the linear inequality represented by the graph?</h3>
The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(0, -1.3) and (3, -0.3)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-0.3 + 1.3)/(3 - 0)
Evaluate
m = 1/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1/3(x - 0) - 1.3
Evaluate
y = 1/3x - 4/3
From the graph, we have the following highlights:
- The line of the graph is a closed line
- The upper part is shaded
The first highlight above implies, the inequality can be any of ≥ and ≤
While the second highlight above implies, the inequality is ≤
Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3
Read more about inequality at
brainly.com/question/24372553
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Answer:
x = 180 - (37 + 53)
Step-by-step explanation:
x + 37 + 53 = 180
x = 180 - (37 + 53)
All of the angles have to equal 180 due to the supplementary angles thm
Answer: 0.12
Step-by-step explanation:
The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:
= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)
= 0.12