Ask question

Ask question

All categories

3 years ago

6

A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel

from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $300 on these 2 legs of the trip?

1 answer:

Hitman42 [59]3 years ago

4 0

List all the different combinations with total cost:

Airplane + van = 350 + 60 = $410

Airplane + cab = 350 + 40 = $390

Bus + van = 150 + 60 = $210

Bus + cab = 150 + 40 = $190

Train + van = 225 + 60 = $285

Train + cab = 225 + 40 = $265

There are 6 different combinations.

There are 2 that are more than $300

The probability would be quantity higher than 300 / total combinations.

Probability = 2/6 = 1/3

You might be interested in

What is the mean absolute deviation of this data set?<br><br> 4, 8 , 3, 8, 7, 10, 9

sergeinik [125]

Answer: Mean Absolute Deviation (MAD): 7

Hope this helps u!

Have a good day and stay safe!

8 0

3 years ago

Read 2 more answers

Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?

wolverine [178]

Answer:

well like this 3/8

Step-by-step explanation:

3/8 and rest is 5/8 in fraction form

4 0

2 years ago

BRAINLEST IF CORRECT!!!!which of the d-values satisfy the following inequality? d/5>4

irinina [24]

Answer:

d = 25

Step-by-step explanation:

$\frac{d}{5} >4$

The value of d has to satisfy the inequality

so replace d with one of the given options

$\frac{25}{5} >4$

We have to simplify the fraction first

$\frac{25}{5} =5>4$

5 0

2 years ago

F f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x)?

seraphim [82]

hi

f°g mean apply g(x) and then use result of g(x) as "x" in f(x)

so as g(x) = x² +1 and f(x) = 3x+2

so if we call g(x) X we have

f( X) = 3 X +2

now we replace " X" for it's value

f(X) = 3 ( x² +1) +2

f(X) = 3x² +3 +2

f(X) = 3x² +5

so f°g = 3x² +5

8 0

1 year ago

Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph

Dennis_Churaev [7]

ANSWER TO QUESTION 1

$f(x)=(x-2)(x+3)(x-1)^2$ .

EXPLANATION

The function given to us is,

$f(x)=x^4-x^3-7x^2+13x-6$

According to rational roots theorem,

$\pm1,\pm2,\pm3,\pm6$ are possible rational zeros of

$f(x)=x^4-x^3-7x^2+13x-6$ .

We find out that,

$f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6$

$f(-3)=81+27-63-39-6$

$f(-3)=6-6$

$f(-3)=0$

Also

$f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6$

$f(2)=16-8-28+26-6$

$f(2)=6-6$

$f(2)=0$

This implies that

$x-2 and x+3$ are factors of

$f(x)=x^4-x^3-7x^2+13x-6$ and hence $(x-2)(x+3)=x^2+x-6$ is also a factor.

We perform the long division as shown in the diagram.

Hence,

$f(x)=(x-2)(x+3)(x-1)^2$ .

ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots

$x=2$ and $x=-3$ have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.

Also the root $x=1$ has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.

Now we determine the position of the graph on the following intervals,

$x\le -3$

$f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6$

$f(-4)=150\:>0$

$-3\le x \le 1$

$f(0)=-6\:$

$1\le x\le 2$

$f(1.5)=-0.56\:$

$x \ge 2$

$f(3)=24\:>0$

We can now use these information to sketch the function as shown in diagram

4 0

3 years ago