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3 years ago

45 2 If = 2, what is the value of A) O B) 1 C) 2 D) 4.

Mathematics

1 answer:

eimsori [14]3 years ago

7 0

Answer:

Tangent = opposite / adjacent

Tangent of 45º equals 1

Step-by-step explanation:

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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:

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

Thus, the standard deviation of X is 1.3.

4 0

4 years ago

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A function is shown f(x) = 2/3x +3 what is the value of f (6)?

Katena32 [7]

Answer:

The answer is 28/9

Step-by-step explanation:

Step one

Given information

We are given that the function is

$f(x) = 2/3x +3$

And we are expected to find f(6), that is substitute the value of x with 6

Step two:

$f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9$

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3 years ago

What is the area of the donut?

mrs_skeptik [129]

6 x 4=24 so the area of the donut 24 which is the answer to the question

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3 years ago

Four servings of yogurt have 12 grams of protein. What is the number of grams of protein per serving?

tester [92]

If there are 12 grams of protein in all, and 4 servings, in order to get the amount of grams per serving you must divide 12 by 4.

12 divided by 4 = 4.

Therefore, there are 4 grams per serving.

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4 years ago

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crimeas [40]

Answer:

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Step-by-step explanation:

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