A toll bridge charges $1.00 for passenger cars and $2.50 for other vehicles. suppose that during daytime hours, 60% of all vehicles are passenger cars. if 25 vehicles cross the bridge during a particular daytime period, what is the resulting expected toll revenue? hint: let ???? = the number of passenger cars out of 25. start by identifying the type of discrete random variable ???? is. then, create a linear function of ???? to represent the toll revenue. finally, find the expected value of the function that represents the toll revenue.

Answers

Answer 1
Number of passenger cars = 60% of 25
Number of passenger cars = 0.6 x 25
Number of passenger cars = 15

Number of Other Vehicles = 25 - 15
Number of Other Vehicles = 10

Revenue from passenger cars = $1.00 x 15
Revenue from passenger cars = $15.00

Revenue from Other Vehicles = $2.50 x 10
Revenue from Other Vehicles = $25.00

Total Revenue = $15.00 + $25.00
Total Revenue = $40.00


Related Questions

Jane goes to the fruit market every week. On Monday she buys 10 pears and 11 oranges for $10.05 By Friday she is out of fruit and goes back to the market to purchase 1 pear and one orange for $0.94 How much did Jane spend on 1 orange?

Answers

The answer may be 0.65, because 0.95(10)=9.40 and 10.05-9.40=0.65. I got the answer myself from yahoo 

For her cell phone plan Heather pays $30 per month plus 0.05 protects she wants to keep her bill under $60 per month with any quality represents the number of texts T Heather can't spend each month while staying within her budget

Answers

Hi there!

Let the number of texts be represented by T.
The we get the following function of total cost:
Total cost = 30 + 0.05T.

Since Heather wants her bill to be under $60, the total cost must be smaller than 60. We get the following

30 + 0.05T < 60
Subtract 30 from both sides.

0.05T < 30
Divide by 0.05

T < 600. Therefore Heather can send a maximum of 600 texts (and then she pays a bill of $60)

Convert 15/9 to a decimal. A. 1.64 B. 1.67 C. 1.66 D, 1.69

Answers

15/9 = 1.6666... (where 6 repeats infinitely)

If we're rounding to 2 decimal places, 6 will round up to 7

Therefore, B. 1.67 is your answer

The ratio of french fries to packets of ketchup in Philip's bag is 8:1. What does this mean? A. There are 7 more french fries than packets of ketchup. B. For every 8 french fries, there is 1 packet of ketchup. C. For every 8 packets of ketchup, there is 1 french fry. D. There are 8 more french fries than packets of ketchup.

Answers

It's B. because the question says the ratio of fries to ketchup is 8 to 1 (for every 8 there is one)
In the question fries go firs and then ketchup, in tge rat 8 goes first and then 1

so if ratio of pens to book is 5 to one (5:1), than it means that for every 5 pens there is one book.

Can someone please help me? The measure of the reflex angle in rhombus ABCD is 260°. Find x. Thanks

Answers

Imagine that you kept drawing the circle around to include the entire angle. We know that the measure of that angle would be 360°, because there are 360° in a circle.

But instead, we stopped at 260°. We have x° left to get to 360°.

That's 360°-x°=260°.

x=100, so the answer is E

a golf pro shop sells two types of shirts, the first for 100$ each and the other for 60$ each. last month the shop sold 50 of these shirts for a total of 4600$ how many 100$ shirts did they sell?

Answers

The answer would be 40. This can be found by using the formula "60s + 100t = 4,000" or replacing 40 into the formula above, which would mean there were 10 $60 shirts totaling $4,600 and 50 shirts.

I need help!!! Pleasssse!!!!

The ratio of the length to the width to the height of a rectangular box of cereal is 6:2:7. The sum of the length and the width of the box is 24 centimeters. Find the surface area of the box of cereal

Answers

The sum of the length and width ratio units is 6+2 = 8. Since this stands for 24 cm, each ratio unit stands for 3 cm. The actual dimensions are
  18 cm : 6 cm : 21 cm

The surface area (S) is given in terms of length (L), width (W), and height (H) by
  S = 2(LW +H(L+W))
  = 2((18 cm)*(6 cm) +(21 cm)*(18 cm +6 cm))
  = 2(108 cm² +(21 cm)*(24 cm))
  = 1224 cm²

The surface area of the box of cereal is 1224 cm².

Lurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50 + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurnda pay if she orders 8 boxes of cards

Answers

Answer:

  $55

Step-by-step explanation:

Put 8 where n is in the equation and do the arithmetic.

  cost = $6.50·n + 3

  = $6.50·8 + 3 = $52 + 3

  cost = $55

Which question is statistical?




How old is my grandmother?

What is the average age of my friends?

What are the ages of my friends' grandparents?

Where did you celebrate your last birthday?

Answers

The last three, I believe, are statistical.

Answer:

The answer is actually What are the ages of my friends grandparents. Trust me i took the test on k12.

Step-by-step explanation

You are due a $750 paycheck at the end of the week (Friday), but want to get your hands on the cash on Monday. A payday lender offers to make this deal with you for a fee of 2% of the paycheck. What is the rate you are paying for this service? Assume a 365-day year.

Answers

Let R = rate, B = base and P = percentage

Use R = P/B

R = 0.02/750

Can you finish?

Assuming this is a simple discount note with a face value of $750, the interest that will be deducted is 2%*$750 = $15. Then the proceeds are $750 -15 = $735, and the effective annual rate is
.. 15/(735*(4/365)) ≈ 186.2%

given abcd ac = 22 and ae= 2x-5 find the value of x

Answers

the complete question in the attached figure

we know that
if AC=22
then AE=AC/2----------> 22/2----------> AE=11
so 
2x-5=11----------> 2x=16---------> x=16/2--------> x=8

the answer is x=8

The answer to this question is x=8... APEX

Which polynomial represents the difference below? 7x8 + 8x6 - 2x + 9 - (4x8 + 3x7 + 3)

Answers

Use associativity and distributivity properties:
[tex]7x^8 + 8x^6 - 2x + 9 - (4x^8 + 3x^7 + 3)=(7-4)x^8-3x^7+8x^6-2x\\+(9-3)\\=3x^8-3x^7+8x^6-2x+6[/tex]
We are done. 

Consider the difference of polynomials [tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3).[/tex]

The first thing you have to do is take that "minus" sign through the parentheses containing the second polynomial (just change sign + to - and sign - to +):

[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=7x^8+8x^6-2x+9-4x^8-3x^7-3.[/tex]

Then combine terms with the same degree:

[tex]7x^8+8x^6-2x+9-4x^8-3x^7-3=(7x^8-4x^8)-3x^7+8x^6-2x+(9-3).[/tex]

Note that

[tex]7x^8-4x^8=(7-4)x^8=3x^8,\\ \\9-3=6.[/tex]

Thus,

[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=3x^8-3x^7+8x^6-2x+6.[/tex]

Jackie has a drawer with 20 buttons, each of different color. How many different ways can she choose three buttons for her bookbag?

Answers

To find all the different possible combinations, you multiply all the possibilities for each position.

1st - she as 20 different possible buttons
2nd - she would have 19 possible buttons
3rd-she would have 18 possible buttons

20 x 19 x 18=6840 possible ways to choose these buttons.

gloria went to the mall and spent 50 minutes shopping. then she. had lunch for 30 minutes. if gloria arrived at the mall at 11:00 a.m at what time did she finished lunch?

Answers

11:00am+50 minutes= 11:50
11:50am+ 30 minutes = 12:20

Gloria went to the mall and spent 50 minutes shopping. Then she had lunch for 30 minutes. If Gloria arrived at the mall at 11:00 A.M., at what time did she finish lunch?

Which expression is equivalent to:

25a + 5b - 13

Answers

25a + 5b - 13

5(5a + b) - 13 is your answer

using the distributive property, we can distribute 5 to all terms within the parenthesis:

5(5a + b) - 13 = 25a + 5b - 13


5(5a) = 25a
5(b) = 5b

25a + 5b - 13 = 25a + 5b - 13 (True)

hope this helps

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

[tex]25a+5b-13[/tex]

In option (1), the given expression is

[tex]20a+5a+b-13[/tex]

Combine like terms.

[tex]25a+b-13[/tex]

This expression is not equivalent to the given expression.

In option (2), the given expression is

[tex]20(5a+5b)-13[/tex]

Using distributive property.

[tex]100a+100b-13[/tex]

This expression is not equivalent to the given expression.

In option (3), the given expression is

[tex]30ab-13[/tex]

This expression is not equivalent to the given expression.

In option (4), the given expression is

[tex]5(5a+b)-13[/tex]

Using distributive property.

[tex]25a+5b-13[/tex]

This expression is equivalent to the given expression.

Therefore correct option is 4.

Write an equation that represents the data in the table x 5,10,15,20 y 17,22,27,32

Answers

they go up by 12
17-5=12
22-10=12
27-15=12
32-20=12

Granny has some stickers.if she gives 6 stickers to each of her grandchildren,she will have 5 stickers left.if she gives 7 stickers to each of her grandchildren,she will need 2 more stickers.how many grandchildren does granny have?

Answers

sorry, but if you're in college, why do need to ask this question. this is like a 5th grade question.

In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perimeter of ∆ABC; 2) The area of ∆ABC; 3) The height to the hypotenuse.

Answers

BC: 16
AC: 12
AB: 20

perimeter :
[tex]12 + 16 + 20 = 48[/tex]
area:
[tex](12 \times 16) \div 2 = 192 \div 2 = 96[/tex]
hope this helps

In the following function defined by an equation in the form y=ax^2+bx+c, identify the values of a, b, and c. y=-2x^2

a) A=-2, b=0, c=0
b) a=-2, b=-2, c=-2
c) a=0, b=-2, c=0
d) a=0,b=0, c=-2

Answers

[tex]\sf y=ax^2+bx+c[/tex]

[tex]\sf y=-2x^2[/tex]

'a' here is -2, 'b' is 0, and 'c' is also 0, anything multiplied by 0 is 0, adding 0 to anything keeps it the same. So the answer is A.
Final answer:

In the quadratic function y = -2x^2, the values of the coefficients a, b, and c are -2, 0, and 0, respectively.

Explanation:

In the quadratic equation y = ax^2 + bx + c, the coefficients a, b, and c represent specific values that dictate the curve's shape and position. Given the equation y = -2x^2, we can compare it to the standard form to determine its coefficients. It is evident that a is -2, b is 0 since there is no x-term, and c is also 0 because there is no constant term. Therefore, the correct answer is a=-2, b=0, c=0, which corresponds to option a.

here goes another question lol oops

Answers

Student 1 and 3.
[tex] - (5r - 3s + 1) = - 5r + 3s - 1[/tex]
Move the negative into the brackets,
positive becomes negative while two negatives make a positive.
1. -(5r - 3s + 1)
simplify....
-5r + 3s - 1

2. -5r + 3s + 1

3. -5r + 3s - 1

student 1 and student 3 have the equivalent equations.
Your answer is A. Student 1 and Student 3.

which of these equations represents functions? check all that apply

Answers

Answer:
Option B. y=7x^4 and Option D. y=2x+1

These funcionts pass the test of the verical line (it cuts the graph in only one point). Please, see the attached file.

Thanks
 

What is the area of a triangle that has a base of 15 1/4 in and a height of 18 in?

Answers

the area of a triangle = 1/2 base * height (basically half of a rectangle)

so 1/2 * 18 * 15.25 = 9*15.25 = 137.25

don't forget units so the answer is 137.25 inches squared

The area of the triangle is half the product of its base and height. The area of the triangle is 137.25 in².

What is the area of the triangle?

The area of the triangle is half the product of its base and height. It is given by the formula,

[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]

As it is given that the base of the triangle is 15¹/₄ inches, while the height of the triangle is 18 inches. Therefore, the area of the triangle is,

[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]

                         [tex]= \dfrac{1}{2} \times 15(1/4)\times 18\\\\\\ = \dfrac{1}{2} \times \dfrac{(15\times 4)+1}{4} \times 18\\\\\\= \dfrac{1}{2} \times \dfrac{61}{4} \times 18\\\\\\=137.25\rm\ in^2[/tex]

Hence, the area of the triangle is 137.25 in².

Learn more about the Area of the triangle:

https://brainly.com/question/22457738

find × if m<1=2×+10 and m<2=3×-6

Answers

∠1 = ∠2
2x +10 = 3x -6
16 = x . . . . . . . . . . . add 6-2x

Selection B is appropriate.

Write the first four terms in the multiplication pattern given by the formula:

10 · 5n

Answers

we have that
an=10 * 5n---------------> an=50*n

then

for n=1
a1=50*1=50

for n=2
a2=50*2=100

for n=3
a3=50*3=150

for n=4
a4=50*4=200


the answer is
the first four terms are [50,100,150,200]



Using an algebraic rule, describe a translation 2 units to the left.

Answers

Answer:
point (x,y) translated 2 units to the left will give the point (x-2,y)
(x,y) = (x-2,y)

Explanation:
We will apply the translation on a given point.
Suppose that we have a point with coordinates (x,y).
We want to translate this point 2 units to the left. This means that we will move this point 2 units to the left.
Doing this, we will find that:
the x-value of the coordinate is decreased by 2
the y-value of the coordinate did not change as no translation occurred in the vertical axis.

Therefore:
a point (x,y) can be translated two units to the left to be (x-2 , y)

Hope this helps :)
For a point in the x-y plane,
(x,y)->(x-2, y)

For a function f(x), f(x)->f(x-h)   where h is displacement to the right.
=>
f(x)->f(x+2)

The mean is always one of the data values

Answers

Hi there!

This is false.

The mean is the average of a set, and it doesn't have to be a number in the set.

Hope this helps!

Brandon is twice as old as his brother Ryan. Ryan is one-eighth the age of their father. If their father is 52 years old, how old are Ryan and Brandon? (Please show work)


Ryan ________

Brandon ________

Answers

Ryan is 1/8 of 52 Ryan is 6.5 years old or
52 ÷ 8 = 6.5 6 years and 6 month old.

Brandon is 6.5 × 2
Brandon is 13 years old

Answer:

Brandon is 13 and Ryan is 6 and 1/2

Step-by-step explanation

If the area of a triangle is 5 5/6 feet and the base is 5 feet. What is the height?

Answers

[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh\quad \begin{cases} b=base\\ h=height\\ -----\\ A=5\frac{5}{6}\\ b=5 \end{cases}\implies 5\frac{5}{6}=\cfrac{1}{2}(5)h\implies \cfrac{5\cdot 6+5}{6}=\cfrac{5h}{2} \\\\\\ \cfrac{35}{6}=\cfrac{5h}{2}\implies 70=30h\implies \cfrac{70}{30}=h\implies \cfrac{7}{3}=h\implies 2\frac{1}{3}=h[/tex]

Which of the following is parallel to the line =6x + 1

Answers

Try this option:
common equation for line is y=kx+b, where k=tgα, b-number.
Rule: if y||y₁, then k=k₁.
It means that according to given conditions y₁=k₁x+b₁ ⇒ y₁=6x+b₁.

answer: y₁=6x+b₁

how can you use place -value blocks and a hundred chart to show the number that is ten more than 43? what is the number

Answers

The number that is ten more than 43 is 53

Represent the number with x.

A number x that is 10 more than 43 is then calculated using the following equation

x - 43 = 10

Add 43 to both sides of the equation

x - 43 + 43 = 10 + 43

Evaluate the sums

x = 53

Hence, the number that is ten more than 43 is 53

See attachment for the place value blocks

Read more about place values at:

https://brainly.com/question/12386995

Final answer:

To find the number ten more than 43, use place-value blocks by adding a tens block to the existing four tens and three ones blocks to get 53. On a hundred chart, locate the number 43 and move one row down to arrive at 53, which is ten more than 43.

Explanation:

The question asks how to use place-value blocks and a hundred chart to show the number that is ten more than 43. To illustrate this using place-value blocks, you would start with 4 tens blocks and 3 ones blocks to represent the number 43. Then, you would add one more tens block to represent the addition of ten. After adding this block, you would have a total of 5 tens blocks and 3 ones blocks, which represents the number 53.

On a hundred chart, first find the number 43. Then, since each row on a hundred chart represents ten numbers, you would move one row down to find the number that is ten more than 43. This would take you to the number 53, which is directly below 43 on the chart.

Therefore, the number that is ten more than 43 is 53.

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