The answer to the question

The Answer To The Question

Answers

Answer 1

The sample space is completed on the image presented at the end of the answer.

What is a sample space?

A sample space is a set that contains all possible outcomes in the context of an experiment.

Hence, at the first node, we have that she can choose the two roads, that is, road 1 and road 2.

Then, at the final nodes, for each road, she has three options, which are walk, bike and scooter.

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The Answer To The Question

Related Questions

What is the probability of rolling a 4, 5, and 6, in that order, on three rolls of a single six-sided die

Answers

Answer:

1:216

Step-by-step explanation:

The probability of getting a 4 would be 1/6.  The probability of getting a 5 would be 1/6 and the probability of getting a 6 would be 1/6.  The bottom number is the total number of outcomes (1,2,3,4,5,6) and the top number is out of that set, how many do I want.  In the case of wanting a 4, I want 1 out of those 6 numbers and so on.

Now we multiple these together 1/6 x 1/6 x 1/6 and get  1/216 or another way to write this is 1:216

What is the formula for margin of error?
Z•√√5
√r
OME =
OME =
OME =
z. √s
Z•
77
Z•S
√n
Z S
OME= 77

Answers

The margin of error is calculated using the formula, C. ME = z × s / √n.

What is the Formula Used to Determine Margin of Error?

The formula for finding the margin of error is given as: ME = z × s / √n, where we have the following:

ME = margin of error

z = z-score

s = population standard deviation

n = sample size

The margin of error is used to determine amount of error in a random sampling.

Thus, the formula is: C. ME = z × s / √n.

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Which equation describes how the parent function, y = x3, is vertically stretched by a factor of 4?
Oy=x³ +4
O y=(x+4)³
O. y=4x³
O y=x4

Answers

Answer: [tex]y=4x^3[/tex]

Step-by-step explanation:

See attached image.

The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The parent function is,

⇒ y = x³

Now, After vertically stretched by a factor of 4 we get;

The value of function is,

⇒ y = 4x³

Hence, The equation of function after vertically stretched by a factor of 4 is,

⇒ y = 4x³

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. A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. This is a tree diagram that represents the probability of customers choosing the different snack and drink options. Tree Diagram What is the value of Z

Answers

The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

What is probability?

In mathematics, probability is considered as the chances a specific situation or event occurs. For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

How to calculate the probability of two events happenning?Calculate or identify the probability of each event happening.Multiply the probabilities of the events involved.

What is the probability of Z event happnening?Probability that a person choses soda: 0.5Probability that a person choses chips: 0.5

Now, let's multiply these probabilities:

0.5 x 0.5 = 0.25 or 25% (0.25 x 100)

This means the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

Note: This question is incomplete; here is the missing section:

What is the probability of Z (a passenger choosing chips and a soda)? a.)25% b.) 33% c.) 50%

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if 4200 men have sufficient food for 32 days at the rate of 12 hectogram per person , how many men may leave so that the same food is sufficient for 42 days at the rate of 16 hectogram per person

Answers

Using proportions, it is found that 66 men can leave so there will still be enough food.

What is a proportion?

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

Considering the situation described, the rule of three is given as follows:

4200 men - 32 days - 12 hectogram per person.

x men - 42 days - 16 hectogram per person.

Considering that the amount per person and the number of people is inverse proportional, we have that:

[tex]\frac{4200}{x} = \frac{32}{42} \times \frac{16}{12}[/tex]

[tex]\frac{4200}{x} = \frac{512}{504}[/tex]

Applying cross multiplication:

512x = 504 x 4200

x = 504 x 4200/512

x = 4134.

The amount of men that can leave is:

4200 - 4134 = 66.

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Of the 30 cars in a parking lot, 12 are blue, 8 are red, 6 are white, and 4 are silver. In simplest form, what are the odds in favor of a red or white car leaving first?
A. 7:8
B. 8:7
C. 1:5
D. 5:1

Answers

Answer:

Step-by-step explanation:

8+6=14

14/30 = 7/15

So the final answer is 7/15

pls thank me pls :(

A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that more than 8 of them are strikes

Answers

8/25 is the probability that more than 8 of them are strikes.

Lets simplify the problem,

We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.

The above situation can be represented through Binomial distribution;

P(X = r) = 0,1,2,3,,.....

where, n = number of trials (samples) taken = 15 pitches

           r = number of success = more than 8

          p = probability of success which in our question is probability of    

                Throwing a strike for each pitch = 0.507

LET X = Number of strikes

So, it means X ~ n = 15, p = 0.507

So, Probability that more than 8 of them are strikes = P(X > 8)

P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

After putting the values in it we get,

P = 0.323

P= 8/25 approx

8/25 is the probability that more than 8 of them are strikes.

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Which equation represents a line that passes through the two points in the
table?

Answers

The answer is B. Always substitute your answer to get it.

21. A triangle has vertices (1, 5), (2, 7), and (6, 5). After a reflection and a translation, the
coordinates of the image are (5,-2), (6,-4), and (10,-2). Describe the transformation.
22. Find the image of the point at (4, -7) under the translation along the vector (a, b).

Answers

Answer:

See below

Step-by-step explanation:

I am not sure about number 22.  I think that they are asking you to apply the same rules to the point (4, -7), if that is what they mean, the answer is (8,10)

Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?

h(x) = 2(0.35)x
h(x) = –2(0.35)x
h(x) = 2(0.35)–x
h(x) = 2(–0.35)–x

Answers

The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

How to determine the reflection?

The equation is given as:

f(x) = 2(0.35)^x

The reflection of a function over the y-axis is :

f'(x) = f(-x)

So, we have:

f(-x) = 2(0.35)^(-x)

From the list of options, we have

h(x) = 2(0.35)^(-x)

Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)

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which of the following points could be added to the graph f(x)=-|x+3| to keep the graph a function?
a.(0.3) b.(-3,-6)
c. both a and b d. none of the above

Answers

None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

How to determine the point?

The equation of the function is given as:

f(x) = - |x + 3|

The points are given as:

(0, 3) and (-3, -6)

When x = 0, we have:

f(0) = - |0 + 3|

f(0) = -3 --- different y value from (0, 3)

When x = -3, we have:

f(-3) = - |-3 + 3|

f(-3) = 0 --- different y value from (-3, -6)

This means that the x values point to different y values (this does not represent a function)

Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

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Help please!!! Write an equation that represents the line.
Use exact numbers.

Answers

y=1x-5 is an equation i think
Y= 6/5x -5
The slope is increasing the number will be positive and since it goes up six and over five that would be the fraction of the slope and 5 is the point on line Y

At a sale, dresses were sold for 61% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?

Answers

The new cost of the dress on sale given the original price is $122

Percentage

Original cost = $200

New cost = 61% of original price

= 61/100 × $200

= 0.61 × 200

New cost = $122

Therefore, the new cost of the dress is $122

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It has taken 3 hours to fill a 5 gallon bucket from leaky hose what is the rate in gallons per hour

Answers

Answer: 1.7

Step-by-step explanation:

The rate of gallons per hour is the same as the unit rate. You want to find out how many gallons are filled in one hour, so divide 3 down to one, 3 divided by 3 is one. Then, also divide 5 by 3. 5 divided by 3 is 1.6666... and as an hour is out of 60, round it to 1.7.

I hope this helps!

Can any one help me?​

Answers

Answer:

64

Step-by-step explanation:

2x-4y=3

x= (3 +4y)/2

substitute into the main equation

y= 0

x= 3/2

16^x /256^y

16^3/2 ÷ 256^0

√16^3 ÷1

= 64

Answer:

64

Step-by-step explanation:

2x - 4y = 3

2x = 4y + 3

x = 2y + 1.5

[tex] \dfrac{16^x}{256^y} = [/tex]

[tex] = \dfrac{16^{2y + 1.5}}{256^y} [/tex]

[tex] = \dfrac{16^{2y + 1.5}}{16^{2y}} [/tex]

[tex] = 16^{2y + 1.5 - 2y} [/tex]

[tex] = 16^\frac{3}{2} [/tex]

[tex] = 4^3 [/tex]

[tex] = 64 [/tex]

To get 14 liters of antifreeze solution, how much do i need to add to x liters of the solution?

Answers

To get 14 liters of antifreeze solution, add 14 - x liters of the solution

Calculating volume

From the question, we are to determine how many liters should be added to the solution

From the given information,

We are to get 14 liters of antifreeze solution,

and

we already have x liters of the solution

To get 14 liters of antifreeze solution, we will add 14 - x liters of the solution

Hence, to get 14 liters of antifreeze solution, add 14 - x liters of the solution

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Subtract the matrices. What number fills in ?

Answers

The missing number for the subtraction of matrices is 4.

How to subtract the matrices?

The subtraction of two matrices of the same size is really direct. You just need to subtract the elements that are in the same position, then:

[tex]A = \left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\B = \left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\end{array}\right]\\\\A - B = \left[\begin{array}{ccc}a_{11} - b_{11}&a_{12}-b_{12}\\a_{21} - b_{21}&a_{22}-b_{22}\end{array}\right][/tex]

Then the missing therm will just be equal to the difference between the last two elements of each matrix:

-2 - (-6) = -2 + 6 = 4

The missing number is 4.

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HALP PLS
what is x?

x =x=x, equals
^\circ

degrees

Answers

Answer:

x = 90°

Step-by-step explanation:

The line that contains angle x and the 90° angle is a straight line.

A straight line measures as 180°.

So, subtracting the given 90° from the 180° line that the two angles share, we would get the measure of x.

[tex]180-90 =x[/tex]

Which means, [tex]x=90[/tex].

So the value of x is 90°.

A researcher asked 520 randomly selected people of three different age groups (teen, young adult, and adult) about their favorite music genre. the two-way table displays the distribution of the responses. a 4-column table with 3 rows. column 1 has entries country, rock, oldies. column 2 is labeled teen with entries 61, 94, 15. column 3 is labeled young adult with entries 65, 84, 36. column 4 is labeled adult with entries 49, 54, 62. the columns are labeled age and the rows are labeled music. a participant is randomly selected. let c be the event that the participant prefers country music and let t be the event that the participant is a teen. what is the value of p(cc and tc)? 0.12 0.33 0.45 0.55

Answers

The value of p(cc and tc) is 0.1173

The distribution of the replies is 0.12, as shown by the two-way table.

We've done that.

520 randomly chosen individuals from the teen, young adult, and adult age groups were asked about their preferred musical genres by the researcher.

The distribution of the answers is shown in the two-way table.

There are 61 teenagers in the country.

seeing as how this is only one of 520,

The probability formula?

P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

61/520=0.1173

We calculate 0.1173 by dividing 61 by 520 and rounding to the next hundredth to obtain 0.12.

Thus the value of p(cc and tc) is 0.1173.

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Write the equation of the line that passes through the points (-6,-3) and (-3,1)

Answers

Answer:

[tex] y = \frac{4}{3} x + 5[/tex]

Step-by-step explanation:

The slope is

[tex] \frac{ - 3 - 1}{ - 6 - ( - 3)} = \frac{4}{3} [/tex]

Substituting into point-slope form,

[tex]y - 1 = \frac{4}{3} (x + 3) \\ \\ y - 1 = \frac{4}{3} x + 4 \\ \\ y = \frac{4}{3} x + 5[/tex]

You can fine the run by subtracting the __ coordinate of the lead point from that of the right point

Answers

You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point.

The "slope formula" for a straight line connecting any two locations is another name for the rise over run formula. The rise is the difference between the y-coordinates of the two locations. The run is the difference between the x-coordinates of two locations. Divide the rise by the run to find the slope.

The rise over run formula is also known as the slope formula because the fraction consists of a rise, whether the line is moving up or down, divided by the run, which can be either left or right. The slope of the line dictates the direction of the line as well as its steepness.

Thus, "You can find the run by subtracting the _x_ coordinate of the lead point from that of the right point".

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Helppp please and thank uuu

What transformation is used to create this frieze pattern?

vertical reflection

glide reflection

horizontal reflection

180° rotation

Answers

Answer:

Using translation concepts, it is found that the transformation used to create this frieze pattern is a 180º rotation.

Step-by-step explanation:

A new toy comes in the shape of a regular hexagonal pyramid. The base has side lengths of 10 inches and the apothem is 5√3 inches. If the surface area is 420 + 150√3 square inches, what is the slant height?
A. 11 inches
B. 14 inches
C. 7 inches
D. 28 inches

Answers

The slant height of the hexagonal pyramid is: B. 14 inches.

What is the Area of a Regular Hexagon?

Area of a regular hexagon = 3√3/2(s²)

First, find the area of the regular hexagon:

Area = 3√3/2(s²) = 3√3/2(10²) = 150√3 in.².

Surface area is given as 420 + 150√3 in.².

Area of the 6 triangles = surface area - area of hexagonal base = 420 + 150√3 - 150√3

Area of the 6 triangles = 420 in.²

Area of 1 triangle = 420/6 = 70 in.²

Use the area of a triangle to find the slant height (h):

70 = 1/2(10)(h)

2(70) = 10(h)

140/20 = h

h = 14 in.

The answer is B. 14 inches.

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Can someone help me with this?

Answers

U can refer to the picture that I’ve attach below

There are 52 people in a room. What is the largest value of n such that the statement ""at least n people in this room have birthdays falling in the same month"" is always true?

Answers

The largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5

How to determine the value

From the given information, we have 52 people in the room

Note that there are 12 months in a year

Let's divide the number by people by the months of the year

⇒ [tex]\frac{52}{12}[/tex]

⇒ 4 remaining 4

If 48 people are evenly distributed over twelve months, then there will be four people born in each month.

The remaining four people can be placed each in any of the twelve different months.

Hence, if 52 people are evenly distributed as possible, there will be eight months with four people and four months with five people.

Thus, the largest value of n such that the statement "at least n people in this room have birthdays falling in the same month" is always true is 5

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simplify: 2y(y2-4y+1)-2(4y²+5y-2) +5y-8


please tell me fast with full solution ​

Answers

Answer:

look the answer is in the picture and don't forget to like and brainlest

Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -62 -30 -14 -6 -2 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-2, 1]? A. Only function f is increasing, and only function f is negative. B. Only function f is increasing, and both functions are negative. C. Both functions are increasing, but function g increases at a faster average rate. D. Both functions are increasing, but function f increases at a faster average rate.

Answers

based on the given exponential functions, we can tell that C. Both functions are increasing, but function g increases at a faster average rate.

what function is increasing faster?

function g is represented by the model:
g(x) = -18 x (1/3)^x + 2

g(x)=-18(1/3)^x In(1/3)

In1/3 < 0

this means that:

g (x) > 0

for any interval, g(x) > f(x)

this means that g is increasing at a faster rate than f which is increasing as shown by the table given in the question.

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Enacting a modeled response depends on your ability to reproduce the response by converting your stored mental images into overt behavior.

Answers

Answer:

??

Step-by-step explanation:

During the current year mute corporation expected that sell 24,600 telephone switches. fixed cost of the year were expected to be 12,147,000 the unit sales price was budgeted at 3,500 and unit variable costs are budgeted at 1,680. minutes margin of safety in units is

Answers

The corporation's margin of safety is 0.73.

What is the margin of safety?

Margin of safety is the amount of sales a company makes in excess of the breakeven point.

Margin of safety = (forecasted sales -  break-even sales) / forecasted sales

Break even sales = fixed cost / (price per unit - variable cost)

12,147,000 / (3500 - 1680) = 6,674.18

Margin of safety = (24,600 - 6,674.18) / 24,600 = 0.73

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A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. which statements about the parabola are true? select two options.

Answers

The true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

What are parabolas?

Parabolas are examples of a conic section such that it is formed by the intersection of a cone with a plane parallel to its side.

How to determine the true statements?

From the question, the given parameters are:

Vertex = (0,0)

Focus = Negative side of the y-axis

A parabola has quite a number of forms, one of these forms is the general form.

The general form is represented as:

(x - h)^2 = 4p(y - k)

The vertex of the parabola is

(h, k) = (0, 0).

So, we have:

(x - 0)^2 = 4p(y - 0)

Evaluate the difference

x^2 = 4py

Since the focus is on the negative side, the value of p will be negative.

Also, because the vertex is at the origin, the directrix of the parabola will cross through the positive part of the y-axis.

This means that the true statement of the parabola is (a) directrix will cross through the positive part of the y-axis.

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Complete question

A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. Which statements about the parabola are true?

Check all that apply.

The directrix will cross through the positive part of the y-axis.

The equation of the parabola will be in the form y2 = 4px where the value of p is negative.

The equation of the parabola will be in the form x2 = 4py where the value of p is positive.

The equation of the parabola could be y2 = 4x.

The equation of the parabola could be x2 = y.

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