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3 years ago

If BC = 9 and CD = 29, find AC.38 Squared Root 3 Radical 29 38261

Mathematics

1 answer:

Nataly [62]3 years ago

3 0

$\Delta ABC\sim\Delta DAC\\\\then\\\\\frac{|AC|}{|BC|}=\frac{|CD|}{|AC|}\\\\|AC|^2=|BC|\cdot|CD|\\\\|AC|^2=9\cdot29\\\\|AC|=\sqrt{9\cdot29}\\\\|AC|=3\sqrt{29}$

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My name is Ann [436]

Answer

Step-by-step explanation:

3g+57

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3 years ago

A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th

sergij07 [2.7K]

Answer:

(a) The mean or expected value of X is 2.2.

(b) The standard deviation of X is 1.3.

Step-by-step explanation:

Let X = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of X id provided.

The formula to compute the mean or expected value of X is:

$\mu=E(X)=\sum x.P(X=x)$

The formula to compute the standard deviation of X is:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}$

The formula of E (X²) is:

$E(X^{2})=\sum x^{2}.P(X=x)$

(a)

Compute the expected value of X as follows:

$E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2$

Thus, the mean or expected value of X is 2.2.

(b)

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58$

Compute the standard deviation of X as follows:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3$

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Step-by-step explanation:

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The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbers.

The range is the set of all whole numbers.

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So, the revenue function will be:

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The number of tickets cannot be less than 0.

So, the domain of the revenue function is

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So, the range of the revenue function is

range = 0,∞

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Answer:

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Step-by-step explanation:

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