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3 years ago

IM WILLING TO ACE THIS!!

Mathematics

1 answer:

Agata [3.3K]3 years ago

8 0

Answer:

a. he has made a profit of $56 so far this week

b. 8t

Step-by-step explanation:

7 × 8=56

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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

Read 2 more answers

A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for pie.

Afina-wow [57]

circumference = diameter x PI

3300 *3.14 = 10,362 feet

7 0

4 years ago

Read 2 more answers

What are Parallelogram markings?

Marat540 [252]

Answer:

A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral with both pairs of opposite sides parallel and congruent. ... The geometric markings shown on the rectangle below indicate parallel sides with an equal number of arrows and congruent sides indicated with an equal number of hatch (hash) marks.

Step-by-step explanation:

6 0

4 years ago

The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer.

____ [38]

Answer:

Step-by-step explanation:

x, x+1, x+2

x + x + 1 +x + 2 = 90

3x + 3 = 90

-3 -3

3x = 87

/3 /3

x = 29

29 + 2 = 31

3 0

4 years ago

Becky has been tracking the population of a town. The population was 5,340 last year and has been increasing by 1.75 times each

Scorpion4ik [409]

the population grows at rate of 1.75
multiply it by this rate every year
As in year 3 it would be 5340(1.75)(1.75)(1.75) the function is 5340(1.75)^x
f(x) = 5340(1.75)^x where 1.75 is the rate of growth
so D is right answer

5 0

3 years ago