Mathematics, 27.07.2021 18:30 akimadixon13

8. Colleen times her morning commute such that there is an equal likelihood that she will arrive early or late to work on any given day. If she always arrives either early or late, what is the probability that Colleen will arrive late to work no more than twice during a five-day workweek

Answers: 1

Show answers

Answers

Answer from: princessmnicole2

Solution :

Case I :

If Collen is late on out of days.

$= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}$

$$=\frac{1}{32}$

Case II :

When Collen is late on out of days.

$= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times ^5C_1$

$=\frac{1}{32} \times 5$

$$=\frac{5}{32}$

Case III :

When Collen was late on out of days.

$= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times ^5C_2$

$=\frac{1}{32} \times 10$

$$=\frac{5}{16}$

Therefore, the $\text{probability}$ that Collen will arrive late to work no more than $\text{twice}$ during a $\text{five day workweek}$ is :

$=\frac{1}{32} + \frac{5}{32} + \frac{5}{16}$

$=\frac{1}{2}$

Answer from: Quest

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

What is the length of the unknown leg in the right triangle ?

Answer from: Quest

to plot points for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4) in the parenthesis on the left of the comma is x and the right is y.

Another question on Mathematics

Mathematics, 22.06.2019 00:20

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?

Answers: 2

Answer

Mathematics, 22.06.2019 02:00

Which of the following is not a solution to the inequality graphed below? (-2, -4)(-1, -5)(0, -3)(2, -1)which of the following is a solution to the inequality graphed below? select all that apply.(-3, -3)(-1, -1)(-3, -1)(2, 2)

Answers: 1

Answer

Mathematics, 22.06.2019 04:00

Ineed with 8,9 and 10 love ya guysss

Answers: 1

Answer

Mathematics, 22.06.2019 05:30

The average car sold from dealership a is 25,700. if the salesperson receives 1.5% commission on the price of the car, how much commission is made on a average per car sold

Answers: 1

Answer

You know the right answer?

8. Colleen times her morning commute such that there is an equal likelihood that she will arrive ear...

Questions