It was Robin's birthday and she knew she was going to have a good day. She was driving to work, and when she turned on the radio, her favorite song was playing. Besides, the traffic light at the main intersection she crossed to get to work was green when she arrived, something that seemed to happen less than once a week. When she arrived at work, rather than having to search as she usually did, she found an empty parking space right in front of the building. Identify three random circumstances in the story, and give the possible outcomes for each of them. (Select all that apply.)

Answers

Answer 1

Answer:

1.Random circumstance: Color of traffic light when Robin approaches the main intersection. Possible outcomes: Traffic light is green when Robin arrives, or Traffic light is not green when Robin arrives.

2.Random circumstance: Song on the radio when first turned on. Possible outcomes: Robin's favorite song is playing, or Robin's favorite song is not playing.

4.Random circumstance: Nearest available parking space. Possible outcomes: Robin finds an empty parking space in front of the building, or Robin does not find an empty parking space in front of the building.

Step-by-step explanation:

A random circumstance is one whose outcome cannot be predicted because we either do not have the full details of the matter or it has not been confirmed yet by a reliable source. In the short description of events provided above;

1.The color of the traffic light is unpredictable because it is not under the control of the drivers but is automated.

2. Robin's favorite song playing on the radio is a random circumstance because she has no control over what song is played. So, she might as well have tuned in and it would be her least favorite song playing.

3. Robin driving into the office and finding the parking space empty is a random circumstance because it is not predictable. She might have come in and found the entire space filled.


Related Questions

Which expression shows the ASSOCIATIVE PROPERTY?
3 + a + b = a + 3 + b
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
3 - a = 3 - b

Answers

Answer:

the first one

Step-by-step explanation:

What is the length of the hypotenuse of the triangle?

Answers

Answer:

It depends, you have to use the Pythagorean Theorem

explanation:

Answer:

If you have both legs, then you can use the PYTHAGOREAN THEOREM to find the value of the hypotenuse. a^2 + b^2 = c^2 ( a= leg, b = leg, c = hypotenuse)

Step-by-step explanation:

If you do not have a leg value, but you do have an angle measure, then you can use Sine or Cosine to find the hypotenuse. Sin = opposite/hypotenuse and Cos = adjacent/hypotenuse.

Let me know if you need further explaination!

Write an equation for the line that passes through (4, 5) and (6, 7).
|

Answers

Answer:

y=x+1

Step-by-step explanation:

The first step I took was to find the slope. A slope is equal to the rise over the run. The equation goes up 2 for every 2 it goes over, which means that the slope is 2/2 or 1. Then you need to determine the y intercept. I usually go about this by thinking logically about the problem. Because there is a point at (4,5) and the slope is 1, there must also be a point at (3,4) (2,3) (1,2) and (0,1) Because the x value in (0,1) is 0, we know that the y intercept must be 1, so I added 1 to the equation. The last step is putting it all together. We know that a linear equation is y=mx+b (m being the slope, b being the y-intercept) so the final equation is y=x+1

Solve the inequality.

negative 2 times left parenthesis 6 plus s right parenthesis is greater than or equal to negative 15 minus 2 s

Answers

-2 ( 6 + s ) >_ -15 - 2s

We distribute the left side of the inequality.

-12 - 2s >_ -15 - 2s

Add 2s on both sides.

They cancel out, and we’re left with:

-12 >_ -15

This is surprisingly a true statement, so s = 0 in order for us to end up with this again.

Hopefully it’s right. Good luck!

5. If you receive 24% off of a $100.00 item, what is the final price of the item?
A. $0.24

Answers

Answer:

24% of 100 is 24 meaning you subtract 24 to 100. Giving you $76 as the final price.

Step-by-step explanation:

Find the common ratio of the geometric sequence 18,-90,450,...

Answers

Answer:

try looking it up on socratic

Answer:

-5

Step-by-step explanation:

The common ratio is what you have to multiply one term by to get the next term.

so:

[tex]18 \times r = -90\\-90 \times r = 450[/tex]

where r is the common ratio

We can solve these equations:

-90 / 18 = -5

450/-90 = -5

therefore the common ratio is -5

i rly have no idea what this one is

Answers

Answer:

x = 11, y = 17

Step-by-step explanation:

Set the equations equal to each other. Since the vertical angles are congruent, 8x + 7 = 9x - 4 and 5y = 7y - 34. Now, solve your equations for the x and y values.

8x + 7 = 9x - 4

x = 11

5y = 7y - 34

2y = 34

y = 17

A box has a volume of 30 cubic cm. the box is filled with unit cubes, with no gaps or overlaps. each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height. how many unit cubes fill the box A:90
B:10
C:30
D:33

Answers

Answer:

C. 30.

Step-by-step explanation:

Each cube has a volume  of 1 * 1* 1 = 1 cu cm.

The answer is 30 unit cubes because 30 *1 = 30.

The box is filled with 30 unit cubes.

The formula to calculate the volume of a cube: -

For a cube with side length 'a' volume V is,

[tex]V=a^{3}[/tex] cubic units

In this question, a box has a volume of 30 cubic cm.

The box is filled with unit cubes, with each unit cube measures 1 cm in length, 1 cm in width, and 1 cm in height.

Let [tex]V_{s}[/tex] represents  the volume of each unit cube and [tex]V[/tex] represent the volume of the box.

The length of each side of a unit cube is 1 cm.

So, [tex]V_{s}=(1)^{3}[/tex]

⇒ [tex]V_{s}=1[/tex] cubic cm

Let there are n unit cubes filled in the box.

⇒ [tex]V=n\times V_{s}[/tex]

⇒ [tex]30=n\times 1[/tex]

⇒[tex]n=30[/tex]

Therefore, 30 unit cubes are filled in the box.

Hence, option C. 30 is the correct answer.

Learn more about cube here:

https://brainly.com/question/11168779

#SPJ2

Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)

Answers

Answer: y - 3 = -1/5(x+5)

Step-by-step explanation:

Hope this helps

Adding/Subtracting Rational Expressions ​

Answers

9514 1404 393

Answer:

  (4x^2 +21x +18)/(3x^2 +34x -24)

Step-by-step explanation:

I find it helpful to keep in mind the form ...

  a/b + c/d = (ad +bc)/(bd)

When we apply that to this case, we get ...

  [tex]\dfrac{x+3}{x+12}+\dfrac{x+2}{3x-2}=\dfrac{(x+3)(3x-2)+(x+12)(x+2)}{(x+12)(3x-2)}\\\\=\dfrac{(3x^2+7x-6)+(x^2+14x+24)}{(x+12)(3x-2)}=\boxed{\dfrac{4x^2+21x+18}{3x^2+34x-24}}[/tex]

A recipe calls for 4c of flour. You have 20 c of flour. Let r represent the flour you when left after making the recipe. Is the remaining amount of flour 18c?

Answers

Answer:

r=16c

Step-by-step explanation

20-4=r

16=r

You deposit $800 in an account that earns simple interest at an annual rate of 5%. How many years must you leave the money in the account to earn $100 in interest?
Answer value

Answers

Answer:

yduhegeggegeheygegeveheyegeveheuegeveve

Step-by-step explanation:

your very welcome

Use the substitution method to solve the system of equations. Choose the correct ordered pair 2x+y= 10
y=x-5
(a) (5,0)
(b) (7,2)
(c) (9,-8)
(d) (8,-6)​

Answers

Answer:

a (5,0)

Step-by-step explanation:

2x + y = 10 substitute y= x - 5 into that first equation

2x+(x-5)=10

2x+x-5=10

3x - 5 = 10

3x = 10 + 5

3x = 15

[tex] \frac{3x}{3} = \frac{15}{3} [/tex]

x=5

substitute the x into either the first or second equation

2(5) +y=10

10 + y = 10

y= 10 - 10

y = 0

therefore

x = 5 and y= 0

2. Find the distance between (-2,1) and (3,4).

Answers

Answer:

[tex]\sqrt{34}[/tex] or 5.83095

Step-by-step explanation:

Use the distance formula [tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^2 }[/tex]

Make sure to round the answer appropriately if not asked for in square root form!!

4+7x=-10+5x please answer

Answers

X=-7    

---------------------------------------------------------

-7

4+7x=-10+5x
+10 +10
14+7x=5x
-7x -7x
14=-2x
14/-2 -2x/-2
-7=x

50 POINTS SOLVE !! ::

pls actually solve it thank you <3

k-4 /9 =3

8+b /-4 = -5

Answers

Answer:

k = 31/9b = 12

Step-by-step explanation:

k - 4 = 3

   9

k/9  = 3(9) + 4

k = 31/9

k = 31/9

8 + b = -5

  -4

8 + b = -5 (-4)

8 +  b = 20

b = 20 - 8

b = 12

The slope of AB is 2/3, A(1,-4) and B(-5,y). Solve for the value of y.

Answers

y=5

the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.
y=9-4(y coordinates of A)
=5

Answer:

y=5

Step-by-step explanation:

the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.

y=9-4(y coordinates of A)

=5

.
Jamie went shopping for party snacks. He bought 3 bags of chips for $4.00 each, 5 bottles of soda for $2.00 each and an ice cream cake for $20.00. How much did he spend altogether?
Choose the expression that is a correct translation of the problem.
(3 x 4) x (5 x 2) + 20
(3 + 4) + (5 + 2) + 20
(3 x 4) + (5 x 2) + 20
(3 x 4) + (5 x 2) x 20

Answers

Answer:

C (3x4) + (5x2) + 20

Step-by-step explanation:

3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.

Super easy math question pls help

Answers

Answer:

Thanks

Step-by-step explanation

6(9)+6(7)

also, 18(3)+14(3)

How is dividing and multiplying with an area model similar and How is it different?

Answers

Answer:

In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

114 = 3 (y + 18) what is the missing value

Answers

Answer:

y= 20

Step-by-step explanation:

114 = 3y + 54

114 - 54 = 3y

60 = 3y

y = 60 ÷ 3

y = 20

what is the value of n n+11=13​

Answers

Answer:

n = 2

Step-by-step explanation:

[tex]n + 11 = 13[/tex]

Subtract 11 from both sides to isolate n.

[tex]n + 11 - 11 = 13 - 11[/tex]

[tex]n = 2[/tex]

Find the measure of angle 1.
152
115
mZ1 =
Please help mee:(

Answers

Answer:

37°

Step-by-step explanation:

We have been given the diagram of the triangle;

 To find the angle I;

 We need to apply one of the geometry laws,

The sum of adjacent internal angles of a triangle gives the external angle;

So;

      I + 115  = 152

   Solve for I;

      I  = 152 - 115 = 37°

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. ​

Answers

I don’t really understand I need more detail

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How far would she travel in 1 minute?

Answers

Answer: She can travel a quarter of a mile in 1 minute.

Step-by-step explanation: In 8 mins she can bike 2 miles and if you split that in half then you can see she can bike 1 mile in 4 min then you can say ok well in 2 mins she can bike half a mile and just split that again and you have a Quarter of a mile in one Minute...

Currently bank customers wait approximately 7.5 minutes during peak hours to be served by a teller. Suppose the bank manager hires another teller and wants to show that the wait time has now decreased. She takes a random sample of 50 customers during peak time and finds that the average wait time is 9.3 minutes. Which of the following statements is the correct alternative hypothesis?a) H1: µ < 7.5b) H1: µ ≠ 7.5c) H1: µ > 7.5d) H1: µ > 9.3e) H1: µ < 9.3

Answers

Answer:

a) H1: µ < 7.5

Step-by-step explanation:

From the given information:

mean = 7.5

sample size = 50

sample mean = 9.3

The main task we are to carry out is to identify the correct alternative hypothesis:

Now to do that, let's state the null and the alternative hypothesis from the given study.

The null hypothesis can be computed as:

[tex]\mathbf{H_o: \mu \geq 7.5}[/tex]

The alternative hypothesis can be computed as:

[tex]\mathbf{H_1: \mu < 7.5}[/tex]

Thus, this test hypothesis is a one-tailed test (left tailed).

A manufacturer of household washing machines wants to determine the effectiveness of the type of detergent used (three brands – A, B, and C) and the length of time for the washing cycle (18, 20, and 22 minutes). The manufacturer prepared 18 standard household laundry loads (having equal amounts of dirt and the same total weight) to conduct the study. The manufacturer randomly assigned two loads to each type of detergent, time combination. The researcher recorded the amount of dirt removed. Use a 5% significance level, for all hypothesis tests and confidence intervals. What is the alternative hypothesis for testing the interaction?

Answers

Answer:

Two-Factor ANOVA with replication

Step-by-step explanation:

Types of detergent used ( A,B,C ) = 3

Length of time for the washing cycle : A = 18 mins, B = 20 mins, C = 22 mins

number of laundry loads = 18

significance level = 5%

The alternative hypothesis for testing the interaction is a Two-Factor ANOVA with replication this is because the factors that have variations are the : The type of detergent and the length of time for a washing cycle while the load is constant for all.

What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x + 3y = –5?

Answers

Divided by 5 is answer

Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commision on his sales, x. Maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. For what value of sales, x, will Jose's earnings be greater than Maris' earnings?

Answers

Answer:

x>$25000

Step-by-step explanation:

John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?

Answers

Answer:

24

Step-by-step explanation:

13+11=24

so 13(the amount he gave Rhea) +11(the amount he has left) = 24 . total in the container was 24 .
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