Lance paid 6% sales tax on a $30 game. What is the total amount did Lance pay?

To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%

To solve this problem, let's write down the data given;

Data;

But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.

Total number of tickets =

[tex]12 + 8 = 20[/tex]

Let's proceed for the first event

[tex]P = \frac{8}{20}= \frac{2}{5}[/tex]

The probability the second event occurs will be

[tex]P = \frac{7}{20}[/tex]

The probability both events occur will be

[tex]P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%[/tex]

The probability that both events occurs is 14%

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The product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

From the question, we are to determine the product of the given expressions

The given expressions are

[tex]\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}[/tex]

[tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}[/tex]

[tex]\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}[/tex]

[tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex]

OR

[tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex]

OR
[tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

Hence, the product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

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Here is the complete and correct question:

What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction

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Answer:

A. StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction

Step-by-step explanation:

correct on edge :)

Answer:

x  = 6.2

Step-by-step explanation:

let ‘x’ denotes the weight of a smaller dog.

“1.2″ + x” be the weight of the larger dog

combined weight = 13.6

smaller dog weight =

x+x+1.2 = 13.6

2x + 1.2 = 13.6

2x = 13.6–1.2

2x = 12.4

x = 12.4/2

x = 6.2 pounds.

Hope you understood it, Happy Learning.

Answer:

4/52 or 1/13

Step-by-step explanation:

In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.

There are 4 kings, 4 queens, 4 aces, and 4 jacks.

So the probability of drawing a king would be:
4/52 = 1/13

Answer:

The probability of drawing a King is 4/52 or about . 0769, which is also the probability of drawing a Queen. The probability that a card drawn from the deck will be both a King and a Queen is zero. The probability that a card will be either a King or a Queen is 8/52.

Step-by-step explanation:

52 cards in a deck 4 queens and 4 kings

Answer:

Answer:

The surface area of this cylinder is  1168.67

Step-by-step explanation:

To find the surface area of a cylander use this formula

Plug in

Answer is 1168.67

Answer:

64+18+z=180

Step-by-step explanation:

z=98, input 98 and it is true

Answer:

C. -18

I hope that this helped you.

Answer:

  C.  -18

Step-by-step explanation:

The value of the expression is found by substituting the given value for the variable and following the Order of Operations to evaluate it.

__

  [tex]\dfrac{2(4(6-t)^2+t-3(t+5))}{3}\qquad\text{given}\\\\=\dfrac{2(4(6-6)^2+6-3(6+5))}{3}=\dfrac{2(4(0^2)+6-3(11))}{3}=\dfrac{2(6-33)}{3}\\\\=\dfrac{2(-27)}{3}=\dfrac{-54}{3}=\boxed{-18}[/tex]

_____

Additional comment

In this instance, the Order of Operations can be shortcut a bit by factoring 3 from the numerator and denominator early in the evaluation.

  = 2(2 -11) = 2(-9) = -18

The answer is C.

Step-by-step explanation:

I can't explain but I literally just did this question and I got it right

Answer:

$405.

Step-by-step explanation:

That would be 15% of $2700

= 2700 * 0.15

= $405

Answer:

[tex]20000 \times 0.15 \times 5 = 15000 \\ 20000+15000=35000

Step-by-step explanation:

20000 times (0.15 is rate) times years (5)

Answer you get is 15000 , then you have to take 20000+15000=35000

Answer:

i had done this before so thats your answer, pls follow

The diameter of the DVD is 12 units.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. It is the overall area that the object's surface occupies.

As per the given data:

The area of the DVD is equal to 36π cm².

We have to find out the diameter of the DVD.

As we know that a DVD is having a circular shape:

Area for a circle is given by πr², where r is the radius of the circle.

From the given data in the question:

πr² = 36π

r² = 36

r = √36

r = 6 units

The diameter of a circle is double the radius of the circle.

Diameter = 2r = 2 × 6 = 12 units

The diameter of the DVD is 12 units.

Hence, the diameter of the DVD is 12 units.

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Answer:

35 minutes

Step-by-step explanation:

this requires us to find out how long it took and because both times given to figure this out are within the same hour it is easy to figure out in this case, 50 - 15 = 35. This is not as simple with all problems like this but because of the times given in this problem its much easier.

Answer:

30, 30, 120

Step-by-step explanation:

Answer:

•50, 30, 100

Step-by-step explanation:

One side (100) is much bigger than the rest (over 90), and the other two are not alike or the same, making it scalene.

The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².

What is surface area?

To calculate the surface area of the cone, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The surface area of the right cone is 47.1 m².

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Answer:

[tex]CI=\{2.5053,3.2147\}[/tex]

Step-by-step explanation:

Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],

[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]

Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147

"every dollar" means P = 1

compounded monthly interest means 12

1(1+(.129/12)^(12(1)) =

in calculator do pemdas

1. .129/12 = 0.01075

2. 0.01075 + 1 = 1.01075

3. (1.01075)^12 = 1.136907156 =

answer = 1.14

Mayfield schools

lcps

Answer:

im assuming 24?

Step-by-step explanation:

bc 16 plus four is 20 so i did the same for 20 i like 96 % that this could be wrong

Answer: y=1/3x+2

Step-by-step explanation:

1,005.44

Pir^2h

3.142*8*8*5

1,005.44

Answer:

Step-by-step explanation:

You want to find the horizontal and vertical distances between two points, and you want to know how to use those to find the distance between those points.

__

The x-coordinate of a point is its horizontal distance from the y-axis. The horizontal distance between two points will be the difference of their x-coordinates.

If the points are (3, -4) and (x, y), the x-coordinates are 3 and x. The difference between those coordinates can be written as x-3. (Usually, we subtract the first point from the second one.)

The horizontal distance from (3, -4) to (x, y) is (x -3).

__

In like fashion, the y-coordinate of a point is its vertical distance from the x-axis. The vertical distance between two points will be the difference of their y-coordinates.

For the points (3, -4) and (x, y), the y-coordinates are -4 and y. The difference between those coordinates is y -(-4) = y +4.

The vertical distance from (3, -4) to (x, y) is (y +4).

__

As the attachment shows, the horizontal and vertical distances between the two points can be considered to be the legs of a right triangle. The "total" distance between the points is the straight-line distance. It is the hypotenuse of that triangle.

The Pythagorean theorem gives the relation between the sides and hypotenuse of a right triangle. In this context, the Pythagorean theorem can be used to create an equation showing the relationship between the legs of the triangle and the distance from (x, y) to the center. (That distance is the radius.)

In particular, the equation created is ...

  (x -3)² +(y +4)² = 7²

_____

Additional comment

For right triangle legs 'a' and 'b', and hypotenuse 'c', the Pythagorean theorem tells you ...

  a² +b² = c²

The sum of the squares of the sides is equal to the square of the hypotenuse.

Answer:

Step-by-step explanation:

(-2-4)/(5-0)= -6/5

y - 4 = -6/5(x - 0)

y - 4 = -6/5x + 0

y = -6/5x + 4

The amount save by Marcia in interest by consolidating the two balances is $133.92.

The total monthly payment for APR of 16% is calculated as follows;

Total monthly payments for 16% =$39.38x48 = $1890.24

Total monthly payments for 12% APR = $36.59*48 = $1756.32

A = $1890.24 - $1756.32

A = $133.92

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Answer:

Below.

Step-by-step explanation:

sin-1 1/2 = 30 degrees in the first quadrant.

As the sin is negative in Quadrants 3 and 4,

sin01 -1/2

= 210, 330 degrees,  in the range 0-360 degrees

Answer: -30°

Step-by-step explanation:

right on acellus

Answer:

Down below

Step-by-step explanation:

If I am correct, it would be 6x + 6x + 3x - 5 + 3x - 5.  I am almost positive this is what they are asking for.  If I am incorrect, I will answer three questions for free, on any topic of your choosing.  In advance, sorry if I'm incorrect.

Answer:

6 donuts are left in the box

Step-by-step explanation:

12 divided by 4 is 3. take those three out of the 12. you are left with nine. 9 divided by 3 is 3. subtract three from the nine. you are left with 6.

Answer:

Maggie can run faster by 0.85 minutes.

Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.

Step-by-step explanation:

Maggie = can run a mile in 5.2 minutes (1.3/0.25)

Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)

5.2-4.35= 0.85 minutes

The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

The given parameters are:

Fewer digits = 843

Total = 1500

The probability is then calculated as:

P = 843/1500

Evaluate the quotient

P = 0.562

Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

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