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Trava [24]
3 years ago
7

Vectors a = (2, 4) , b = (−1, 2), and c = (c1, c2) all have the initial point at the origin, what are the coordinates of their t

erminal points? Vectors a = (2, 4) , b = (−1, 2), and c = (c1, c2) all have the initial point at the origin, what are the coordinates of their terminal points?
Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

A(2,4), B(-1,2). and C(c_1,c_2)

Step-by-step explanation:

If a vector has terminal  point with coordinates P(x,y) and an initial point at the origin (0,0), then

\vec{p}=\binom{x}{y}-\binom{0}{0}\\\implies \vec{p}=\binom{x}{y}

Therefore if

\vec{a}=\binom{2}{4}\\ \vec{b}=\binom{-1}{2}\\\vec{c}=\binom{c_1}{c_2}

Then the coordinates of their terminal points are A(2,4), B(-1,2). and C(c_1,c_2)

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Can someone solve point-slope lines and show work? I’m confused
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In a beach town, 13% of the residents own boats. A random sample of 100 residents was selected. What is the probability that les
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Answer:

Approximately 0.038 (or equivalently 3.8\%,) assuming that whether each resident owns boats is independent from one another.

Step-by-step explanation:

Assume that whether each resident of this town owns boats is independent from one another. It would be possible to model whether each of the n = 100 selected residents owns boats as a Bernoulli random variable: for k = \lbrace 1,\, \dots,\, 100\rbrace, X_k \sim \text{Bernoulli}(\underbrace{0.13}_{p}).

X_k = 0 means that the kth resident in this sample does not own boats. On the other hand, X_k = 1 means that this resident owns boats. Therefore, the sum (X_1 + \cdots + X_{100}) would represent the number of residents in this sample that own boats.

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\begin{aligned} & P( (X_1 + \cdots + X_{100}) < 11) \\ &= 1 - P(Z >1.77) \\ &\approx 1 - 0.962 = 0.038 \end{aligned}.

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