Answer: C) y ≥ 3x - 2; ![y\leq \dfrac{1}{2}x+3](https://tex.z-dn.net/?f=y%5Cleq%20%5Cdfrac%7B1%7D%7B2%7Dx%2B3)
<u>Step-by-step explanation:</u>
Blue line:
y-intercept (b) = -2
slope (m) is 3 up, 1 right = 3
shading is above
⇒ y ≥ 3x - 2
Yellow line:
y-intercept (b) = 3
slope (m) is 1 up, 2 right = ![\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D)
shading is below
![\implies \bold{y\leq \dfrac{1}{2}x+3}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cbold%7By%5Cleq%20%5Cdfrac%7B1%7D%7B2%7Dx%2B3%7D)
Step-by-step explanation:
The total probability that the DeLorean makes the trip is:
P = P(engine) × P(at least 1 time circuit) × P(at least 2 capacitors)
P = P(engine) × (1 − P(0 time circuits)) × P(at least 2 capacitors)
P = 0.94 × (1 − ₄C₀ 0.75⁰ 0.25⁴) × (₃C₂ 0.8² 0.2¹ + ₃C₃ 0.8³ 0.2⁰)
P = 0.94 × (1 − 0.25⁴) × (0.384 + 0.512)
P = 0.83895
The reliability of the DeLorean is approximately 83.9%.
The general term of the given sequence is given by: ![5(\frac{1}{3}) ^{n-1}](https://tex.z-dn.net/?f=5%28%5Cfrac%7B1%7D%7B3%7D%29%20%5E%7Bn-1%7D)
<h3>
What is a Geometric Progression and what is its General Term?</h3>
Geometric progression refers to a special progression, or a sequence of numbers, in which each successive term is a fixed multiple of the term preceding it.
For a geometric progression having first term 'a', a constant ratio of the terms be 'r' and 'n' number of terms, then:
General Term of Geometric Progression(G.P.) =
, where r > 0.
Given: ![5,\frac{5}{3},\frac{5}{9},...](https://tex.z-dn.net/?f=5%2C%5Cfrac%7B5%7D%7B3%7D%2C%5Cfrac%7B5%7D%7B9%7D%2C...)
Here, for the given G.P., a = 5, r = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Then, the general term =
<em>, </em>if the given G.P. has 'n' terms.
To learn more about geometric progressions, refer to the link: brainly.com/question/1509142
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Answer:
Prafulla Chandra Ghosh
Step-by-step explanation:
(24 December 1891–18 December 1983) was the first Chief Minister of West Bengal, India.
Answer:
580.75
Step-by-step explanation: 11.50 * 40 =460
11.50 * 1.5 =`17.25*7= 120.75
120.75+460=580.75