A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stio, what is the probability they will wait for no more than 20 minutes?

Answers

Answer 1

Answer:

≈ [tex]44.4%[/tex][tex]%[/tex]%

Step-by-step explanation:

The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be [tex]\frac{20}{45}[/tex] which is about 44.4%.


Related Questions

please help w this question!!!

Answers

Answer:

  72

Step-by-step explanation:

The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.

  QR = QT

  3p = p +48 . . . . . . substitute the given measure expressions

  2p = 48 . . . . . . . subtract p

  p = 24 . . . . . . . divide by 2

  QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT

  QT = 72

If ' x - 1/x = 4, then x² + 1/x² =​

Answers

Answer:

82/9

Step-by-step explanation:

x - 1/x = 4

x - 1 = 4x

-1 = 3x

- 1/3 = x

from there just substitute in x for x² + 1/x² to get:

82/9 or 9.1 recurring

You decide that you will only sell two different types of frozen treats in your
ice-cream cart. You use the following criteria to help you make your decision:
• You will purchase 550 frozen treats for your cart.
• You have a budget of $450.
• Your goal is to make a profit of at least $700.
Which two frozen treats will you sell in your ice-cream cart, and how many of
each treat will you purchase? Show that your combination of frozen treats
meets the criteria.

Answers

Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.

What is Purchase decision?

This is know to be the thought method or act that helps a consumer to identify a need, gather options, and choosing a given product and brand.

Note that Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.

If I am to purchase 550 frozen treats, I will buy:

Ice cream bar fruit  = 300

Frozen bar fruit = 250

Therefore,  for  Ice cream bar fruit , it will be = amount x cost price

300 x  0.85 = 255

For Frozen bar fruit = 250 x  0.50

= 125

Add up the total cost= 255 + 125

Total amount spent will be= 380

Therefore we can see that the total price spent falls within the budget allocated and so I will choose both  Ice cream bar fruit and frozen bar fruit.

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2. Every morning, Desiree walks around her pool to get some morning exercise. She doesn't remember
the width of the pool, but she knows that the length of the pool is three less than twice the width.
Her father tells her that when he built the border of the pool, it had a perimeter of 48 feet. What is
the width of the pool?

Answers

Let the width of the pool be x
Total length of the pool—2(x+3)
Total width of the pool—2(x)
Perimeter—2(x+3)+2x=48
2x+6+2x=48
6x=42
x=7
Width of the pool is 7 feet.
x=

Write the equation of the line that passes through the points (7,-6) and (-6,2).

Answers

Answer:

Here is the ans...hope it helps

Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.

Answers

Answer:

New coordinates:

A'(-3, 3)

B'(4, -1)

C'(-2, 0)

Step-by-step explanation:

It tells you (x-3, y-4), which means you have to subtract 3 from every x coordinate, and 4 from every y coordinate.

Hope this helps <3

Answer:

See below ~

Step-by-step explanation:

New coordinates

A' = (0 - 3, 7 - 4) = (-3, 3)B' = (7 - 3, 3 - 4) = (4, -1)C' = (1 - 3, 4 - 4) = (-2, 0)

Find the volume of this triangular prism. Be sure to include the correct unit in your answer. 7m 5m 9m? Thank u!!​

Answers

since the formula is BH, and the base is a triangle, the area of the triangle is 17.5 then, we multiply this by the lateral height, which is 9. the volume is 157.7 m^3

What does each line on the protractor stand for?

Answers

Answer:

There are two sets of degrees going in opposite directions along an arc. The top of the arc shows degrees from 0º to 180º from left to right. The bottom of the arc shows degrees from 180º to 0º from left to right. The smallest "tick marks" along the edge of the protractor represent 1º intervals.

Step-by-step explanation:

hi how are you doing ????

PLEASE< PLEASE ASAP!!!
WILL GIVE BRAINLIEST!!!

THANKS SO MUCH!!!










Please help........

Answers

Answer:

dude do this by your self this is to easy

Simone travels 90 miles at an average speed of 40 mph.
She then travels a further 30 miles.
The average speed for the entire journey is 43 mph.
Assuming Simone didn't stop, what was her average speed for the final 30 miles to 2 dp?

Answers

Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:

[tex]t_1 = \frac{90}{40} = 2.25[/tex]

She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:

[tex]t = \frac{120}{43} = 2.79[/tex]

Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:

[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]

Her average speed for the final 30 miles is of 55.56 mph.

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If the hypotenuse of the triangle below is 8√2, what is the leg?

Answers

Answer:

8

Step-by-step explanation:

The side lengths of this special right triangle is as follows:

The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]

and

the side length that sees angle measures 45 (the legs) is represented with x

hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case

x = 8

Please Help its a math problem amber has done 3 projects this year in Social Studies and wants a mean project grade of 92. Her first three project grades are 92, 93 and 89. What does she need to make on the fourth project to meet her goal?

Question 5 options:

94


90


95


92

Answers

Answer:

a) 94

Step-by-step explanation:

92 + 93 + 89 + 94 = 368/4= 92

Answer:

94

explanation:

because common sense

hlp!
options:
A. [tex]x\leq -5[/tex]
B. [tex]x\geq -5[/tex]
C.[tex]x\geq 2[/tex]
D.[tex]x=4[/tex]

Answers

Answer:

Option B

x ≥ (-5)

Step-by-step explanation:

Given;-3(x + 4) ≥ x + 8

So,

-3(x + 4) ≥ x + 8

-3x – 12 ≥ x + 8

Add both sides 12 we get,

-3x – 12 + 12 ≥ x + 8 + 12

-3x ≥ x + 20

Similarly, subtract x from both sides we get,

-3x – x ≥ x – x + 20

-4x ≥ 20

Then, divide both sides by (-4) we get,

-4x/(-4) ≥ 20/(-4)

x -5

Thus, The answer is x (-5).

Of 400 randomly selected people in the city of lyon, france, 60 people had the first name hugo.

which of these does not represent inferential statistics?

a. 15% of the people who live in france have the first name hugo.
b. 15% of the people who live in europe have the first name hugo.
c. 15% of the people surveyed have the first name hugo.
d. 15% of the people who live in lyon have the first name hugo.

Answers

The statement in this problem that does not represent a inferential statistic is given by:

c. 15% of the people surveyed have the first name hugo.

What is an inferential statistic?

An inferential statistic is one that makes inference or predictions about a population based on a sample.

In this problem, an inferential statistic is the sample proportion of 15% for the population of Lyon, France or Europe(as Lyon is in France and France in Europe).

In option C, the inference is for the sample and not for any population, hence it is not an inferential statistic.

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what is 4x^2 -40-120 is equivalent to

Answers

Answer:

Step-by-step explanation:

4x^2-40-120

4x^2-160

4x^2=160

x^2=40

sqrt40=6.32

Please answer quickly ​

Answers

[tex]\dfrac{4+3\sqrt 5}{4-3\sqrt 5}\\\\\\=\dfrac{\left(4+3\sqrt 5 \right)\left(4+3\sqrt 5 \right)}{\left(4-3\sqrt 5 \right)\left(4+3\sqrt 5 \right)} \\\\\\=\dfrac{\left(4+3\sqrt 5 \right)^2}{4^2 - \left( 3 \sqrt 5 \right)^2}\\\\\\=\dfrac{4^2 + 2\cdot 4 \cdot 3\sqrt 5 + \left( 3\sqrt 5 \right)^2}{16-9\cdot 5}\\\\\\=\dfrac{16+24\sqrt 5 + 45}{16-45}\\\\\\=\dfrac{61+24\sqrt5}{-29}\\\\\\=-\dfrac{61}{29}-\dfrac{24}{29}\sqrt 5\\\\\\=-\left(\dfrac{61}{29}\right) + \left(- \dfrac{24}{29} \right) \sqrt 5[/tex]

[tex]\text{It is now in a form of}~ a+b\sqrt 5~, \text{where}\\ \\a=-\dfrac{61}{29}~~ \text{and}~~ b =- \dfrac{24}{29}[/tex]

Which graph represents f of x equals square root of the quantity x plus 3 end quantity minus 2?

The graph shows a curve with an end point at 2 comma 3 that increasing to the right
The graph shows a curve with an end point at 3 comma 2 that increasing to the right
The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right
The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right

Answers

The obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis. None of the option is correct.

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The given equation of the function is;

[tex]y = -(x+2)^{1/3}+5[/tex]

Hence,the obtained graph is having is passes though the point (0,3.74 )on y-axis and (123,0) on the x-axis.

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Answer:

The function f(x) = sqrt(x - 2) + 3 represents a square root function that is shifted 2 units to the right and 3 units up from the parent function f(x) = sqrt(x).

The endpoint of the function occurs when the radicand (x - 2) is equal to zero, which means x = 2. So, the function has an endpoint at (2, 3).

Since the function involves a square root, the value of y cannot be negative. Therefore, the function is increasing to the right.

The correct graph that represents the function f(x) = sqrt(x - 2) + 3 is the one that shows a curve with an endpoint at (2, 3) that increases to the right.

Therefore, the answer is: The graph shows a curve with an endpoint at 2 comma 3 that increases to the right. A.

José tiene una tabla de: (x² -4x + 4) cm de largo y (x+4) cm de ancho ¿Cuál es el área de la tabla?

Answers

Answer:

x³ - 12x + 16

Step-by-step explanation:

(x² -4x + 4) × (x+4) =

= x³ + 4x² - 4x² - 16x + 4x + 16

= x³ - 12x + 16

Which of the following expressions is true?

2^4•2^4>2^7

3^2•3^6=3^7

4^3•4^5<4^8

5^2•5^3=5^6​

Answers

Answer:

2^4•2^4>2^7

Step-by-step explanation:

Hope it helps you in your learning process.

Question 4 (Essay Worth 10 points)
(04.05 MC)
The graph represents the journey of a bus from the bus stop to different locations:
Bus Journey
Distance
(miles)
Time (hours)
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
5

Answers

1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing. And the graph is non-linear.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph represents the journey of a bus from the bus stop to different locations:

Complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey.

1 and 3 show that the bus is going to the last station, 2 and 4 show the holding time of the bus at a station, and 5 shows that the bus is returning.

1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing.

The graph is non-linear.

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Write a probability model for this experiment , and use the probability model to predict how many times Stacey would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places

Answers

The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.

[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]

From the binomial random variable of n trials with a probability of success of p.

We will have, n = 50, p = 1/6

Number of times Stacey would spin a 6 = 8.33

Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

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This is for AP CALCULUS. I really need help on this. I’m trying to find the first and second derivative of these three functions.

Answers

Review Material:

[tex]\sqrt[n]{x^m} = x^{\frac{m}{n}}[/tex]

[tex]\frac{d}{dx}[x^n]=nx^{n-1}\\[/tex]

[tex]\frac{d}{dx}[\sin(x)]=\cos(x)\\[/tex]

 [tex]\frac{d}{dx}[\cos(x)]=-\sin(x)\\[/tex]

[tex]\frac{d}{dx}[constant]=0\\[/tex]

Step-by-step explanation:

(a)

[tex]F(x) = -2\cos(x) +x^{\frac{4}{3}} -3e\\ \text{Note: 3e is a constant}\\F'(x) = 2\sin(x) + \frac{4}{3}x^{\frac{1}{3}}\\F''(x) = 2\cos(x) + \frac{4}{9}x^{-\frac{2}{3}}[/tex]

(b)

[tex]F(x) = x^{-3} + \frac{1}{2}x^2-\sin(x)\\F'(x)=-3x^{-4} + x - \cos(x)\\F''(x) = 12x^{-5} + 1 + \sin(x)[/tex]

(c)

[tex]F(x) = 2x^{-3}+x^{\frac{3}{4}}-4x\\F'(x) = -6x^{-4} + \frac{3}{4}x^{-\frac{1}{4}}-4\\F''(x)= 24x^{-5} - \frac{3}{16}x^{-\frac{5}{4}}[/tex]

Write the word sentence as an equation. Then solve.

The product of 15 and a number x is −75

Answers

The answer for your questions is -5

The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion correctly shows how to solve for the volume of the smaller solid, x? = = = =

Answers

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

How to get the volume of the smaller solid?

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

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Answer: Its C

Step-by-step explanation: Just did it

which expression is equivalent to 2^2 x 2/24
a. 2^-2
b.2^-1
c.2^6
d.2^7

Answers

Answer:

none

Step-by-step explanation:

which expression is equivalent to 2^2 x 2/24

a. 2^-2

b.2^-1

c.2^6

d.2^7

2^2 * 2/24 =

4 * 2/24 =

4 * 1/12 =

1/3

then

1/3 = 0.33

find equivalent

a) 2^-2 = 0.25

b) 2^-1 = 0.5

c) 2^6 = 64

d) 2^7 = 128

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)? x 2 x – 2 x – 8 x 8

Answers

The quotient of the given expression is x-2. The correct option is the second option-  x – 2

Simplification of fractions

From the question, we are to determine the quotient

The given expression is

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex]

The numerator can be expressed as

[tex](x-2)(x^{2} +5x+6)[/tex]

Then, the fraction becomes

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex] = [tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}[/tex]

Simplifying

[tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2[/tex]

Hence, the quotient of the given expression is x-2. The correct option is the second option-  x – 2

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Here is the complete and correct question:

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8

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How do I answer this?

Answers

Answer:

I dontknow what ur question is but I think u just have to measure the length of 50 ° on ur protector use a compass

A cylindrical well has a radius of 6 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.

Answers

maybe 1375 cubic feet of water will take to fill the well

Solve 12x + 6>9x+ 12.
Ο Α. x>6
Ο Β. x<2
Ο C. X>2
O D. X<6

Answers

Answer:

x>2

Step-by-step explanation:

-Subtract 6 from both sides

-Simplify

-Subtract 9x from both sides

-Simplify

-Divide both sides by 3

-Simplify

If an interval estimate is said to be constructed at the 90% confidence level, the confidence coefficient would be _____.

Answers

Using the z-distribution, the confidence coefficient for the 90% confidence interval is of 1.645.

What is the critical value for a 90% confidence interval?

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.95[/tex], and the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

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In the human life cycle Make a box and whisker plot of the data. 20,23,28,14,13,24,18,11 why did Shakespeare make up words? when a complex sentence begins with an independent clause, punctuation after the clause is?A) RequiredB) Not required Anyone knows this answer helps people in the poorest corners of the world A. Peace corps B. American Red CrossC. Senior Companions D. Senior Corps E. Freedom Corps y=8x+7 and -8x+y=7 solve algebretically inspired by modernization theory, assistance programs to less-developed nations during the 1950s and 1960s had a tremendous effect. a. had a tremendous effect b. helped only semiperipheral nations. c. helped peripheral nations and hurt semiperipheral nations. d. had little effect. please select the best answer from the choices provided Someone please help me answer my questions Im very confused!! Who led Guatemala when it became an independent nation in 1847?Rafael CarreraQuetzalPedro de AlvaradoJimmy Morales Which of the following is WORST for the environment?A: ReduceB: ReuseC: RecycleD: Throw away Find the area of a circle with a diameter of 8 cm. Use T = 3.14 Round your answer to the nearest hundredth. Which are characteristics of bryophytes? (Select all that apply.) Most of them grow tall. Most of them are vascular plants. Most of them live in shady, moist, or humid areas. Most of them need water to help reproduce. What is one purpose of writing a business plan before entering the market? What slowed the spread of the italian renaissance across europe? poverty famine disease flooding difference between accomodation and pupil reflex? Rotate RST 90 counterclockwise around the origin. Complete each sentence with the correct subjunctive or indicative form of the verb in parentheses.1. Dudo que t _______ (ser) orgullosa.2. No es seguro que Fausto ________ (educarse) sobre el tema de la inmigracin.3. Piensan que yo _______ (servir) los postres en el restaurante.4. Puede ser que nosotros __________ (tener) un examen maana.5. Es posible que Uds. ________ (sentir) fro al llegar a Nueva York.6. Negamos que t __________ (poder) llegar temprano a la clase.7. Es obvio que ellos __________ (pagar) la cuenta.8. Crees que yo _________ (dar) los mejores regalos. Environments include both _____ and _____ things.Question 1 options:resources; factorsair; waterliving; nonlivingbuildings; animals 2. Martin read for a total of 150 minutes last week. He read the same amount of time each day for 6 days. Which equation shows, n, the number of minutes Martin read each day? 150 minutes in all n minutes read each day A 150 x 6-n B 150+6=n 150-6-n D 150+6=n