Two friends are to meet at the library. Each independently and randomly selects an arrival time within the same one-hour period. Each agrees to wait a maximum of fifteen minutes for the other to arrive. What is the probability that they will meet

Answers

Answer 1

Answer:

The probability that they will meet is 0.4375

Step-by-step explanation:

Let A and B be two friends who choose to meet  the same one-hour period.Since there are 60 minutes in an hour therefore n= 60

A can wait for 15 minutes

So the probability of A to meet is given by P(A)=  (15/60)= 1/4

Similarly

B can wait for 15 minutes

So the probability of B to meet is given by P(B)=  (15/60)= 1/4

The  probability  that A cannot meet is given by 1- P(A)=  1-1/4= 3/4

Similarly

The  probability  that B cannot meet is given by 1- P(B)=  1-1/4= 3/4

And

The  probability  that both  A  and B cannot meet is given by = 3/4*3/4= 9/16

So the probability that both will meet = 1- 9/16= 7/16= 0.4375


Related Questions

Simplify the expression:
9f2 - 10 - 1 + 2/2 + -772​

Answers

Answer:

4f^2-11

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest

Answers

Answer:

4ft, 7 inches

Step-by-step explanation:

4 ft (48 inches), 7 inches

P the sun was actually gonna owoe

Identify a second of transformations that maps triangle ABC onto triangle A"B"C in the image below.

Answers

Answer: The answer is B because the triangle rotated a 90 degrees counterclockwise then got a reduction.

Step-by-step explanation:

Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp

Show work please

Answers

Answer:

Cost of each eagle stamp = $0.25

Cost of each racoon stamp = $0.4

Step-by-step explanation:

Given:

Cost of 8 eagle stamp and 2 racoon stamp = $2.80

Cost of 3 eagle stamp and 4 racoon stamp = $2.35

Find:

Cost of each stamp

Computation:

Assume;

Cost of each eagle stamp = e

Cost of each racoon stamp = r

So,

8e + 2r = 2.80........... Eq 1

3e + 4r = 2.35 ........... Eq 2

Eq 1 x 2

16e + 4r = 5.6 .........Eq3

Eq 3 - Eq 2

13e = 3.25

e = 0.25

Cost of each eagle stamp = $0.25

8e + 2r = 2.80

8(0.25) + 2r = 2.80

2 + 2r = 2.80

r = 0.4

Cost of each racoon stamp = $0.4

Evaluate the following expression if x= 2.14
3.35x + 25 - 2x

Answers

Answer:

The final answer is 27.889 (Feel free to round it)

Step-by-step explanation:

3.35 x 2.14 = 7.169

7.169 + 25 = 32.169

2 x 2.14 = 4.28

32.169 - 4.28 = 27.889

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

27.88 is the answer

Volume answer rn djdjd

Answers

Answer:

133.7π cm^3 or approximately 418.77430072 cm^3.

Step-by-step explanation:

For the cylinder half, use the formula: π*r^2*h, or pi times radius squared times height.

Since the diameter is 8, which means the radius is 4, and the height is 6, the volume of the cylinder would be 96π or 301.59289474...

For the cone on top, use the formula 1/3 (π*r^2*h), or one third pi times radius squared times height. Don't forget to calcuate the part in parentheses before dividing it by three.

Because the overall height was 13, you can subtract the 6 from the cylinder to get the cone's height. It has a height of 7 and a radius of 4 just like the cylinder. The volume of the cone is 112π/3 or 37.3π.

Now add both volumes together to get 133.7π cm^3 or approximately 418.77430072 cm^3.

What is the expanded form of 8,609?
A 8,000+600+ 90
8,000+60+9
8,000 +900+ 6
8,000+600 +9

Answers

The last one 8,000 + 600 + 9

It’s the last one 8,000+600+9

A circle has a diameter of 10 centimeters.

What is the best approximation of its area?

Use 3.14 to approximate for π.


15.7 cm²

31.4 cm²

78.5 cm²

314 cm²

Answers

Answer:

78.5 (please put brainliest)

Step-by-step explanation:

r = diameter / 2 = 5

area = π * r^2 = 25 * 3.14 = 78.5

Answer:

78.5 m^2

Step-by-step explanation:

Mona has a bag containing 4 red marbles, 12 green marbles, and 8 black marbles. Without looking, she pulls out one marble from the bag and places it in an empty jar. She then pulls a second marble from the bag and places it in the jar. WHat is the probability that she will have 2 green marbles in the jar?


A. 12/24 x 11/23

B. 12/24 x 12/24

C. 1/12 x 1/11

D. 12/24 x 12/23​

Answers

Answer is b hope this helps

can someone help me :(

Answers

Answer:

A is the correct answer

.......................

Answer:

A. y+116+30=180

Step-by-step explanation:

A straight angle is 180°.

all the given angles make up a straight angle, so they add to 180°.

What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade

Answers

the answer is d !! have a good day

Answer:

pretty sure the answer is electrons  so D

Step-by-step explanation:

Electrons are particles that surround the nucleus of an atom like a cloud

What is 8% of 200?
4
16
25
Done

Answers

Answer:

16

Step-by-step explanation:

8% of 200 is 16

Answer: 16

Explanation: That's an i-Ready Diagnostic!! Heh...

What is the absolute value of a number?

Answers

Answer:

It is the distance from the zero on a number line. Also, it is never negative.

Step-by-step explanation:

Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?​

Answers

Answer:

The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].

Step-by-step explanation:

We proceed to use the following trigonometric identity to derive an expression in rectangular form:

[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)

Where:

[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]

Then, we expand the expression as follows:

[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)

The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].

If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False​

Answers

Answer:

True

Step-by-step explanation:

The Answer is 75.36 cm

2 x (pi)3.14 = 6.28

6.28 x (r)3 = 18.84

18.84 x (h)4 = 75.36

The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.

What is cylinder?

"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."

Formula to calculate the area of the lateral surface of a cylinder:

For a cylinder with radius r and height h,

the curved / lateral surface area is,

A = 2 × π × r × h

Given: r = 3 cm, h = 4 cm

Using the formula for area of lateral surface of a cylinder:

⇒ A = 2 × π × 3 × 4

⇒ A = 24 × π

⇒ A = 24 × 3.14

A = 75.36 sq.cm.

Therefore, given statement is true.

Learn more about lateral surface area of cylinder here:

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Two parallel lines are cut by a transversal. What is the measure of <1?

A 80
В. 180
C. 100
D. 90

Answers

Answer:

C - 100

Step-by-step explanation:

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

Consecutive (same-side) exterior angles are supplementary.

  ∠1 = 180° -∠7 = 180° -80°

  ∠1 = 100°

Planes A and B intersect. Which describes the intersection of plane A and line m? Oline k B m Olinen À point X O point W X 3 k Y Z​

Answers

The intersection of plane A and line m can be describes as line m .

What is reflectional symmetry?

Let's a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.

Given that Planes A and B intersect.

We can see the two walls as planes in geometry.

A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.

When two planes intersect, their intersection is a line.

Learn more about symmetry here:

https://brainly.com/question/7783612

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The Unit Circle

What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)

a. 180°
b. 90°
c. 360°
d. 270°

Please select the best answer from the choices provided

Answers

Answer:

C. 360°

Step-by-step explanation:

I calculated it logically

Answer:

Answer is C) 360°

Step-by-step explanation:

160% of what number 56?

Answers

Answer:

160% of 35 is 56.

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{160}{100}[/tex]

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

What is the volume of a sphere with a radius of 3.1 cm, rounded to the nearest tenth
of a cubic centimeter?

Answers

The answer is 124.79 centimeters
Rounded to the nearest tenth It’s 124.8

No links please 15 Points

Answers

Answer:

C

Step-by-step explanation:

Katy put $3000 into his bank account.  If the account pays 6% interest compounded continuously, when will it be worth $6000?   Round to 3 decimal places.​

Answers

Answer:

11.55 years

Step-by-step explanation:

Given data

Principal= $3000

Rate= 6%

Final Amount= $6000

expression for the time is given as

t = ln(A/P) / r

Substitute

t= ln(6000/3000)/0.06

t= ln(2)/0.06

t= 0.693/0.06

t= 11.55 years

Hence the time is 11.55 years

A. 35
B. 96
C. 51
D. 80

Answers

I think it would be A

Answer:

Its D

Step-by-step explanation:

Use systems of linear equations solve x+2y=4

Must include;
Step to solve problem


Answers

Answer:  y=2-2x

Step-by-step explanation:

Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
weight of 6 oz. and a standard deviation of 1 oz. From a batch of 2500 oranges, how
many would be expected to weight less than 4 oz., to the nearest whole number?

Answers

5 oz. Hope this helped!

Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.
True
O False

Answers

Answer:

Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.

it's false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?

Answers

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

find the difference between 0.1 kg and 75g​

Answers

Answer:

25 g

Step-by-step explanation:

0.1 kg can be written as 100 grams

& 75 g

while 1 kg is 1000 grams

so difference:-

(100- 75 ) grams

= 25 g

The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.

Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:

0.1 kg = 0.1 * 1000 g = 100 g

Now, the two quantities are in the same unit:

0.1 kg - 75 g = 100 g - 75 g = 25 g

So, the difference between 0.1 kg and 75 g is 25 grams.

To know more about difference:

https://brainly.com/question/30241588

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struggling with homework!!

Answers

Answer:

40

Step-by-step explanation:

if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.

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