Buses arrive at a stop every 18 min. Each bus waits 4 min before departing. What is the probability that a person arriving at the bus stop at a random time has to wait more than 8 min for a bus to​ leave?

Answers

Answer 1

Answer:

Socratic app

Step-by-step explanation:

it will help you


Related Questions

A campbell’s soup can is 6 inches tall and has a arduous of 2.5 inches how much paper is needed to make the label? How much room is there inside the can to hold the soup

Answers

Step-by-step explanation:

The label of the soup is the lateral area of the cylinder.

The formula for a cylinder is  LA = ph.

The perimeter of a cylinder is the circumference of a circle, 2 times pi times r.

then multiply that answer by the height of 6.

The answer will be in square inches

Write the equation of a circle whose diameter is 8 and whose center is (-8, -5)?

Answers

if the diameter is 8, then its radius is half that or 4.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-8}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-8)]^2~~ + ~~[y-(-5)]^2~~ = ~~4^2\implies (x+8)^2+(y+5)^2=16[/tex]

11, 20, 29, ...
Find the 43rd term.

Answers

Answer:

389

Step-by-step explanation:

20 - 11 = 9

29 - 20 = 9

This is a geometric sequence with a common difference of 9.

a_1 = 11

a_2 = 11 + 9

a_3 = 11 + 2 × 9

...

a_n = 11 + (n - 1) × 9

a_43 = 11 + (43 - 1) × 9

a_43 = 11 + 42 × 9

a_43 = 389

Hence, the [tex]43[/tex]rd term is [tex]389[/tex].

What is the sequence?

A  sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is [tex]11, 20, 29, ...[/tex]

Here,

[tex]a=11\\\\d=a_2-a_1\\d=20-11\\d=9[/tex]

The general formula is

[tex]a_n=a+(n-1)d[/tex]

where,

[tex]a_n[/tex] is the [tex]n[/tex]th term

[tex]a[/tex] is the first term

[tex]n[/tex] is the number of terms

[tex]d[/tex] is the common difference

Substituting the values in the general formula

[tex]a_n=a+(n-1)d\\\\a_{43}=11+(43-1)9\\\\a_{43}=11+(42)9\\\\a_{43}=11+378\\\\a_{43}=389[/tex]

Hence, the [tex]43[/tex]rd term is [tex]389[/tex].

To know more about the sequence

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If n is proportional to M squared and n) 27 when m=3 what is the formula for n in terms of M and what is the value of n given m=6

Answers

Answer:

n=9M, when m is 6,n=18

Step-by-step explanation:

If n is proportional to M

n=kM

27=3k

k=27/3

k=9

the formula on terms of n and M is

n= 9M

2) If m= 6,

n= 3M

n=3(6)

n=18

Answer:

n = 108

Step-by-step explanation:

given n is proportional to m² then the equation relating them is

n = km² ← k is the constant of proportion

to find k use the condition n = 27 when m = 3 , then

27 = k × 3² = 9k ( divide both sides by 9 )

3 = k

n = 3m² ← equation of proportion

when m = 6 , then

n = 3 × 6² = 3 × 36 = 108

help?? its for calc please

Answers

Answer:

its logx=logy

Answer:

its logx=logy

Please help asap

Savannah is trying to justify to her geometry class that the 2 lines she drew, line a and line b, are
parallel. Select all of the reasons that prove Savannah's lines parallel.

Answers

Answer:

2,3,4,5

Step-by-step explanation:

The ones you selected are all correct.

Hope this helps.

Parallel lines were coplanar endless straight lines in geometry that never intersect. Therefore, all the options are correct.

What are parallel lines?

Parallel lines were coplanar endless straight lines in geometry that never intersect. Within a single three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Euclid's parallel postulate deals with parallel lines. Euclidean geometry is just a particular example of this sort of geometry, and parallelism is essentially a feature of affine geometries. Lines can have similar characteristics known as parallelism in various other geometries, including such hyperbolic geometry.

∠2≅∠8 ( alternate interior angle)

∠1≅∠8 (vertical angle)

∠1≅∠5 (corresponding angle)

∠2≅∠5 (consecutive interior angle)

∠4≅∠6 (exterior angle)

Therefore, all the options are correct.

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From a point, 50 feet from the base of a building, the angle of elevation from ground level to the top of the building is 66°. find the height of the building to the nearest hundredth of a foot

Answers

Answer:

  112.30 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...

  Tan = Opposite/Adjacent

  tan(66°) = height/(50 ft)

Solving for the height gives ...

  height = (50 ft)tan(66°) ≈ 112.30 ft

The height of the building is about 112.30 feet.

PLEASE HELP
You will take a test containing two types of questions, multiple choice and free response. MC questions are worth 4 points each and free response are worth 7 points each. You must answer at least 4 of the MC and no more than 10 you must answer at least 3 FR questions, but no more than 10. Total, you may only answer 18 questions. How many type of each question must you answer to maximize your score.

Answers

Answer:

I think the answer is 16 to maximize the score

What is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon?

Answers

14.49 all you have to do is 10x1.449 and you get your answer

Answer:

14.49

Step-by-step explanation:

thats all folks i don't know why though

What attributes do squares and
trapezoids always have in
common?

Answers

Answer:

There both quadrilaterals

Step-by-step explanation:

an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. the heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the legnth of the shorter base of each trapezoid is 1.5 centimeters. what is the total area of the face of the watch to the nearest tenth of a square centimemter

Answers

Answer:

Step-by-step explanation:

The total area of the face of the watch is 9.0 cm²

What is a hexagon?

The polygon with six side is called a hexagon.

Given that, a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.

height, h = apothem of the hexagon = 2 cm and

base, b = length of shorter base of trapezoid.

Area of the triangle

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

Area of the hexagon

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, total area of the face of the watch is 9.0 cm²

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The original price of a computer is $579. which coupon is a better deal?

Answers

Save 25% on any computer is the better deal. Then the correct option is A.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A) Save 25% on any computer. Then the better deal will be

→ 579 × 0.25 = $ 144.75

B) Save $150 on any computer. Then the better deal will be

→ $ 150

C) Save $75 plus 5% off on any computer. Then the better deal will be

→ 579 × 0.05 + 75 = $ 103.95

D) Save  $50 plus 10% off on any computer. Then the better deal will be

→ 579 × 0.10 + 50 = $ 107.9

More about the percentage link is given below.

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UNIT 5: CEREAL BOX PROJECT / PORTFOLIO
HELP

Answers

Using the formula for volume and surface area of solids, we have the following:

1. 180 in.³; 258 in.²; $12.9

2. 144 in.³; 184 in.²; $9.2

3. 75 in.³; 228 in.²; $11.4

What is Volume and Surface Area?

Volume of a rectangular prism = l × w × h

Surface area of a rectangular prism = 2(wl+hl+hw)

Volume of a square pyramid = 1/3 × a² × h

Surface area of a square pyramid = a² + 2al

Volume of a cylinder = πr²h

Surface area of a cylinder = 2πr( h + r)

1. Volume of the rectangular prism cereal box = 7.5 × 2 × 12 = 180 in.³

Surface area of the rectangular prism cereal box = 2(wl+hl+hw) = 2(2 × 7.5 + 12 × 7.5 + 12 × 2) = 258 in.²

Cost of material for the the rectangular prism cereal box = 258 × 0.05 = $12.9.

2. Volume of the square pyramid cereal box = 1/3 × a² × h = 1/3 × 6² × 12 = 144 in.³

Surface area of the square pyramid cereal box = a² + 2al = 6² + 2(6)(12.3) ≈ 184 in.²

Cost of material for the the square pyramid cereal box = 184 × 0.05 = $9.2.

3. Volume of the cylinder cereal box = πr²h = π(2.5²)(12) = 75 in.³

Surface area of the cylinder cereal box = 2π(2.5)(12 + 2.5) ≈ 228 in.²

Cost of material for the the cylinder cereal box = 228 × 0.05 = $11.4.

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At a local bodega, the cost of a bottle of juice at the corner store is
$1.05, and the cost of a bag of chips is $1.10. What would it cost to get
8 bottles of juice and 4 bags of chips? What would it cost to get a
bottles of juice and y bags of chips?
Total cost, 8 bottles of juice and 4 bags of chips:
Total cost, x bottles of juice and y bags of chips:
y

Answers

Answer:

$12.80

Step-by-step explanation:

The cost to get 8 bottles of juice and 4 bags of chips will be:

= 8($.105) + 4($1.10)

= $8.40 + $4.40

= $12.80

The cost for x bottles of juice and y bags of chips will be:

= (1.05 × x) + (1.10 × y)

= 1.05x + 1.10y

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

36 in²

Step-by-step explanation:

Area of the figure

Area (small rectangle) left + Area (big rectangle) right3 x (6 - 4) + 5 x 63 x 2 + 306 + 3036 in²

Answer:

The answer is 36 ft²

Step-by-step explanation:

Let us divide this whole figure into 2 rectangle, a big and a small.

Rectangle 1: (Small)

Length (l) = 2 ftBreadth (b) = 3 ft

(Area 1) = l × b

A = 2 × 3 = 6 square ft

Rectangle 2: (Big)

Length (l) = 6 ftBreadth (b) = 5 ft

(Area 2) = l × b

A = 6 × 5 = 30 square ft

Now,

Total Area of figure = Area of Rectangle 1 + Area of Rectangle 2.

Total Area = 6 + 30 = 36 square ft.

Thus, The area of the figure is 36 ft².

i honestly dont know how to answer 8+h over 10 = 1 how?

Answers

Answer:

h = 2

Step-by-step explanation:

8+h / 10 = 1

Multiply both sides by 10 to remove the denominator

10 * (8 + h / 10) = 1 * 10

8 + h = 10

Subtract 8 from both sides

8 - 8 + h = 10 - 8

h = 2

what does T equal to?

Answers

Answer:

4/3

Step-by-step explanation:

t^3=64/27

=4^3/3^3

=index same

t =4/3

Answer:

4/3)

Step-by-step explanation:

t- 3= 64/27

= 4-3/3-3

= index  same

t = 4/3

At a restaurant, 8 plates are accidentally broken each day for a week (7 days). What number represents the change in the number of plates the restaurant has?

Answers

The number that’s going to change how many plates the restaurant has would be 8

Answer is 1, I just need the working. Thank you

Answers

there are three pictures with every step

good luck writing that on the paper bro lol

a .circle with diamter at (2,2) and (8,14

Answers

the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45

How to calculate the equation of a circle?

A circle is a 2-dimensional shape with no edges.

The standard equation of a circle with centre (a, b) and radius "r" is given as:

(x-a)^2 + (y-b)^2 = r^2

Given the diameter of circle with coordinate  (2,2) and (8,14), the diameter is expressed as:

D = √12² + 6²

D = √144+36
D = √180

For the radius

r = √180/2

r² = 180/4

r² = 45

Determine the centre (a, b)
(a, b) = (2+8/2 2+14/2)
(a, b) = (5, 8)

Substitute

(x-5)^2 + (y - 8)^2 = 45

Hence the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45

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FREE BRAINLIEST - EZ QUESTION: Write the equation of the parabola that has the vertex at point (−2,7) and passes through the point (−1,3).

Answers

Answer:

y = -4(x +2)² + 7

formula for parabola: y = a(x-h)² + k

Where (h, k) denotes the vertex

vertex: (-2, 7) point: (-1, 3)

First find a:

3 = a(-1-(-2))² + 7a + 7 = 3a = -4

Thus equation:

y = -4(x-(-2))² + 7y = -4(x +2)² + 7

Answer:

y = -4x^2 - 16x - 9.

Step-by-step explanation:

The vertex form is:

y = a(x - b)^2 + c     where a is a constant,  and (b, c) is the vertex

So we have

y = a(x + 2)^2 + 7

When x = -1,  y = 3 so:

3 = a(-1 + 2)^2 + 7

3 = a + 7

a = -4.

So the equation is

y = -4(x + 2)^2 + 7

y = -4x^2 - 16x -16 + 7

y = -4x^2 - 16x - 9.


A pebble falls off the top of a cliff. Its final velocity is 58.8m/s. How long does it take to reach the ground? Show
your work.

Answers

Answer: 5.7s

Step-by-step explanation:

We are explicitly given the final velocity of 58.8m/s, and implicitly given the acceleration of 9.8m/s^2 due to gravity. We are also implicitly given the initial velocity of the pebble. The pebble was not thrown off the cliff, it simply fell off the cliff. Therefore the initial velocity is 0m/s. Using the first kinematic equation, you get:

[tex]v_f=v_i+at[/tex]

[tex]58.8=0+(9.8)t[/tex]

[tex]58.8=9.8t[/tex]

[tex]t=5.7s[/tex]

Which Line has The Greater Slope
1
2
3
4

Answers

The answer to this question is line 1

The usual price of a compact disc player was $200. At a sale, it was sold at a discount of 5%. What was the selling price

Answers

Answer:

It would be sold at 190$

Step-by-step explanation:

200x5/100 or 200 x 0.05

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal at y = negative 1. Everything above the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 1) and (0, 0). Everything below the line is shaded. A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario? The pool is 1 meter deep. The pool is 2 meters deep. The toy falls at a rate of at least a Negative one-half meter per second. The toy sinks at a rate of no more than a Negative one-half meter per second

Answers

y≥x-2

x+2y⊂4

hoping that your answer

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

24 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

7^2 + b^2 = 25^2

49 + b^2 = 625

Now we subtract!!

625 - 49 = b^2

576 = b^2

Now we neeed to find the square root!!

[tex]\sqrt{576}[/tex] = 24

Have an amazing day!!

Please rate and mark brainliest!!

Hi, I need help with this math question. Can you pls help me?

Answers

The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.

Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35

So, this geometric sequence is 5 ; 35 ; 245 and so on.

-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)

Answer:

7

Step-by-step explanation:

Given:

First term = 5Third term = 245

Let the second term be "x".

⇒ 5, x, 245...

Thus, the following equations:

5 × (something) = xx × (something) = 245

To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.

⇒ [5 × (something)] = x

⇒ [5 × (something)]/5 = x/5

⇒ (something) = x/5

⇒ x × (something) = 245

⇒ [x × (something)]/x = 245/x

⇒ (something) = 245/x

Now, let's compare both the results of (something).

⇒ x/5 = 245/x

⇒ x² = 5 x 245

⇒ x² = 1225

⇒ x = √1225 = 35

Substitute the second term into the sequence.

⇒ 5, x, 245 = 5, 35, 245

Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.

Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate everyday. The cost of the job is in the chart below.
Which of the following equations, where “h” represents hours worked and “p” the amount paid in dollars, represent an hourly pay rate that is Greater than the painter’s hourly rate?

Day 1: 5 hours worked; Paid $300
Day 2: 4 hours worked; Paid $240
Day 3: 6 hours worked; Paid $360

Choose all answers that apply:
A) P=6.5h
B) P=50h
C) P=65h
D) P=70h

Answers

Answer:

a is the answer

Step-by-step explanation:

The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.

Step 1
[original equation]: x2 + 8x + y2 − 6y = 11
Step 2
[group like terms]: (x2 + 8x) + (y2 − 6y) = 11
Step 3
[complete the square]:

Which of the following is the correct equation for Step 3? (1 point)
(x2 + 8x + 16) + (y2 − 6y − 9) = 11 + 16 − 9
(x2 + 8x + 16) + (y2 − 6y + 9) = 11 + 16 + 9
(x2 + 8x + 4) + (y2 − 6y − 3) = 11 + 4 − 3
(x2 + 8x + 4) + (y2 − 6y + 3) = 11 + 4 + 3

Answers

Answer:

  (b)  (x^2 + 8x + 16) + (y^2 − 6y + 9) = 11 + 16 + 9

Step-by-step explanation:

To complete the square of a binomial, the constant term of the perfect square trinomial is the square of half the coefficient of the linear term. It will always be positive.

__

Answer Choices

a) 9 is subtracted, incorrectly

b) 16 and 9 are correctly added . . . this is the correct Step 3

c) half the linear term is added, incorrectly

d) the magnitude of half the linear term is added, incorrectly

Carl wants to earn money shoveling snow from driveway this winter. The average size of a driveway in his neighborhood is 240 ft. ² it take a squirrel 45 minutes to shovel an average size driveway with 4 inches of snow. Enter the minimum number of minutes it will take her to shovel a driveway with 4 inches of snow that has an area of 720 ft. ² if he shovels at this rate. 

Answers

Using proportions, it is found that it will take him at least 135 minutes to shovel the driveway at this rate.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, it takes 45 minutes to shovel 240 ft². How long does it take to showel 720 ft²? The rule of three is given by:

45 min - 240 ft²

n min - 720 ft²

Applying cross multiplication:

240n = 45 x 720

n = 45 x 720/240

n = 45 x 3

n = 135

It will take him at least 135 minutes to shovel the driveway at this rate.

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