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3 years ago

The table below represents...

Mathematics

2 answers:

lianna [129]3 years ago

8 0

The equation for d represents the table

Delvig [45]3 years ago

7 0

Answer:

The answer is D.

-1 = -3(1)+2= -1

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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

3 years ago

Read 2 more answers

35.99 as a mixed fraction in simplest form

rodikova [14]

The answer would be 35 99/100 because you cannot simplify 99/100

7 0

3 years ago

Read 2 more answers

A total of 765 tickets were sold for the school play. They were either adults or students tickets. There were 65 more student ti

Brrunno [24]

Answer: 350 adult tickets

Step-by-step explanation:

(omg I remember this question!)

a stands for the number of adult tickets sold

student tickets : a + 65

the equation for the prob:

765 = a + (a + 65)

solve:

combine 'like terms'

1.) 765 = a + a + 65

2.) 765 = 2a + 65

- 65 - 65

700= 2a

divide by 2

700/2 = 2a/2

(700/2 = 350)

(the "2" in 2a is cancelled out by the other 2)

350 = a

7 0

2 years ago

in one month darius spends 10 hours walking dogs. How many dogs walks does he do in one month ALSO this is dividing a whole numb

MA_775_DIABLO [31]

Step-by-step explanation:

let's assume one month is 30 days you would multiply 10 by 30.

$10 \times 30 = 300$

which would be 300 hours in 1 month

now if one month is 31 days you would simply multiply 10 by 31.

$10 \times 31 = 310$

which would be 310 hours

6 0

2 years ago

The diameter of a wheel is 98 cm. How many times would the wheel rotate to cover is 7.7 km?

olga nikolaevna [1]

For the first problem it would take about 2500 revolutions to gover such a distance and in 500 revolutions, it will travel 1539.4 meters.

4 0

2 years ago