two cards are drawn from a shuffled deck of 52 cards. what is the probability that the first card is a king and the second is a heart

Answers

Answer 1

On solving the provided question, we can say that the required probability is = 13/204.

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

probability of 1st card =  1/4

since the card is not replaced

total number remaining cards = 51

second card 13/51

the required probability is = 13/204

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Related Questions

is 32% greater then 0.23?

Answers

Answer:

yes

Step-by-step explanation:

32% is the same as 0.32

0.23 is the same as 23%

Yes , The fact is that 0.32 is greater than 0.23.

Can someone please help me with this? and also help me understand how to do it I have a test this Friday.

Answers

Answer:

Refer to the image attached. If you have ANY questions about what I did/how I did it, please ask in the comments. I will be happy to help you understand! :)

Step-by-step explanation:

Point P is the centroid of △ABC and BD⊥AC. Find the following:
1. Find PD.
2. Find AP.
3. Find FC.
4. Find AC.
5. Find the perimeter of △BDC​

Answers

Therefore , the solution of the given triangle comes out to be  AC = 10 units and PD = 6 units.

Triangle definition

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. They are among the earliest geometric shapes to be studied. Triangles are especially important since they may be divided into each polygon, whether it has four, five, six, or n sides.

Here,

Let AD and DC are 2x and x respectively.

We have, BC = 10 units

=> 2x =10

=> x = 10/2

=> x= 5

Now ,

=> AP + PF = 8 + y

=> 8 + y = 12

=> y =4

Therefore , the solution of the given triangle comes out to be  AC = 10 units and PD = 6 units.

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Y=1/3(x-6)^2 standard form

Answers

Answer:

Step-by-step explanation:

Answer: Y = 1/3x^2 - 4x + 12

Step-by-step explanation:

Hope this helps, sorry I don't have an explanation...

NEED HELP ASAP - Algebra 2 (5 Questions, 15 Points Each)

Answers

In question 1;

The student multiplied without flipping the second expression.

In second question;

The negative should only be distributed to the numerator.

In third question,

3/2 should be remove from the x - value which make the expression undefined.

In fourth student;

Neither student is correct.

In fifth question,;

Sarah didn't cancel incorrectly in step 3.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

In question 1;

The expression is,

⇒ x² + 2x - 3 / (x² - 3x - 10) ÷ (2x + 12) / (8x + 16)

= (2x³ + 16x² + 18x - 36) / (8x³ - 8x² - 128x - 100)

Cleary, The student multiplied without flipping the second expression.

In question 2;

⇒ (-2y - 2) / (y² + 2y - 8) - (y - 1) / (2 - y)

⇒ (-2y - 2) / (y² + 2y - 8) + (-y + 1) / (-2 + y)

Clearly, The negative should only be distributed to the numerator.

In Question 3;

The student make mistake is ''3/2 should be remove from the x - value which make the expression undefined.''

In fourth student;

Neither student is doing correct solution.

In fifth question,;

Sarah didn't cancel incorrectly in step 3.

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Tamara said the Distributive Property was used to write 21x + 56xy as an equivalent expression, 7(3x + 8y). Is she correct? Explain. And what is the correct expression.

Answers

Answer:

Yes, Tamara is correct that the Distributive Property was used to write 21x + 56xy as an equivalent expression, 7(3x + 8y).

The Distributive Property states that for any real numbers a, b, and c, we have:

a(b + c) = ab + ac

This property allows us to distribute a factor to each term within a set of parentheses.

In this case, Tamara used the Distributive Property to rewrite the expression 21x + 56xy as an equivalent expression. She did this by taking the factor of 7 and distributing it to each term within the parentheses:

7(3x + 8y) = (73x) + (78y) = 21x + 56xy

Therefore, the correct expression is 7(3x + 8y).

Step-by-step explanation:

Tamara is not quite right there. She was on the right track by multiplying the bases by the 7 outside the parentheses. But the “8” base just had a “y” variable attached to it. Tamara put a “xy” variable after she distributed the 7. The correct expression would be 21x+56y.

Please help I have no idea

Answers

Answer:

The surface area of this cuboid is 420 square inches.

Step-by-step explanation:

All we have to do is calculate each rectangle. For the width, we have 10 x 5 which is 50. Then we multiply it by 2 because we have two of those sides. Then we get 100. Then we have 11 x 5 which is 55. We multiply that by 2 and we get 110. Then we do that to the final two sides and we get 220. So the final answer if we add them all up is 420 square inches.

Consider rigid-body physics in a higher or lower dimension than three. How many coordinates are required to specify the location and orientation of a rigid body:If the space is two-dimensional?a. 2b. 3c. 4d. 5

Answers

In two-dimensional space, only two coordinates are required to specify the location and orientation of a rigid body.

In two-dimensional space, a rigid body can only move in two directions (up/down and left/right) and rotate around a single axis. As a result, only two coordinates are needed to specify the location and orientation of a rigid body in two-dimensional space. The two coordinates needed to specify the rigid body's position are the x-coordinate and y-coordinate, which define the position of the body in the plane. The orientation of the rigid body can be determined by determining the angle between the x-axis and the body's orientation, which is referred to as the angle of rotation. The combination of these two coordinates (position and rotation) specify the full state of the rigid body in two-dimensional space.

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System of linear inequalities

The girl's swim team is hosting a fundraiser. They would like to raise at least $500.They are selling candles for $5 and flower arrangements for $6.The girls estimate that at most they will sell 200 items. How many candles and flowers arrangement. The girl estimates that at most they will sell 200 items. how many candles and flower arrangements were sold?

S: what is the problem with asking you to find

O:organize, and circle the numbers and underline the following information

let x be ..........

let y be.........

L: write your plan in words.........

set up the equations.........

V: carry out your plan

E: examine the result, write the answer in complete sentences
Then graph the equation

Answers

Using substitution method to solve the system of linear equation, the girls have tp sell 700 flower arrangement.

What is System of Linear Equation

A system of linear equations is a collection of two or more linear equations that use the same set of variables. The solution of the system is the set of values for the variables that satisfy all of the equations in the system.

To solve this problem, we have to set our variables as;

Let;

x = number of candiesy = number of flowers

The equations can be written as;

5x + 6y = 500 ...eq(i)

x + y = 200 ...eq(ii)

From equation ii,

x = 200 - y ...eq(iii)

Put eq(iii) into eq(i)

5(200 - y) + 6y = 500

1000 - 5y + 6y = 500

1000 + y = 500

y = -500

Put y = -500 into eq(ii)

x - 500 = 200

x = 700

From the solution, it shows they couldn't sell any candy and had to sell 700 flower arrangement.

Kindly find the attached graph below

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The geometric sequence LaTeX: a_n=125\left(\frac{1}{5}\right)^{n-1}a n = 125 ( 1 5 ) n − 1 represents the sales of a specific product at a store, where n is the number of years after its release. What is the sum of the first 6 terms?

Answers

The given sequence represents the sales of a product over time. The sum of the first 6 terms is 693.75, which is calculated by multiplying each term in the sequence by its respective exponent.

The sum of the first 6 terms of the geometric sequence is calculated as follows:

[tex]a_1 = 125 \left(\frac{1}{5}\right)^{1-1} = 125 \\[/tex]

[tex]a_2 = 125 \left(\frac{1}{5}\right)^{2-1} = 25 \\[/tex]

[tex]a_3 = 125 \left(\frac{1}{5}\right)^{3-1} = 5 \\a_4 = 125 \left(\frac{1}{5}\right)^{4-1} = 1 \\a_5 = 125 \left(\frac{1}{5}\right)^{5-1} = \frac{1}{5} \\a_6 = 125 \left(\frac{1}{5}\right)^{6-1} = \frac{1}{25} \\[/tex]

Total sum = 125 + 25 + 5 + 1 +[tex]\frac{1}{5} + \frac{1}{25}[/tex] = 693.75

The geometric sequence a_n=12[tex]5\left(\frac{1}{5}\right)^{n-1}[/tex]represents the sales of a product over time, where n is the number of years after its release. The sum of the first 6 terms is calculated by multiplying each term in the sequence by its respective exponent. This gives us the following 6 terms: a_1 = 125, a_2 = 25, a_3 = 5, a_4 = 1, a_5 = 1/5, and a_6 = 1/25. The sum of these 6 terms is 693.75.

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Can the inverse of a function be the same function?

Answers

Answer:

Yes

Step-by-step explanation:

y = x has the inverse x = y

Which variation is represented by this situation:
Martha earns $375 when she works 5 hours. How much will she earn
if she works 12 hours? Is it direct variation or inverse variation?

Answers

Direct variation is represented by this situation and she earn $900

if she works 12 hours.

What are direct variation and indirect variation?

Direct variation describes a relationship whereby one measure directly affects the other when the first one changes. This is completely opposed by inverse variation. Learn the definitions of direct and inverse variations in this article, along with some instances that have been solved.

How do inverse and direct variations differ from one another?

When x is not equal to 0, y = kx is the equation that describes the linear function known as direct variation. An equation of the form xy = k, where x is not equal to zero and k is a nonzero real number constant, describes the nonlinear function known as inverse variation.

5 hours  = earns $ 375

1 hours = 375/5 = earns $ 75

12 hours  = 75  12 = earns $ 900

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What is the domain of the function y=5√6−2x​

Answers

The domain is all values of x that makes the expression defined.

Set-Builder Notation: {x| x ≤ 3 }

Interval Notation: (-∞,3]

What is the domain of the given function?

Given the function in the question;

y = 5√(6−2x)​

To find the domain, set the radicand greater than or equal zero and solve for x.

6 - 2x ≥ 0

Subtract 6 from both sides

6 - 6- 2x ≥ 0 - 6

-2x ≥ -6

Divide both sides by -2

-2x/-2 ≤ -6/-2

x ≤ -6/-2

x ≤ 3

Therefore, the domain is;

Set-Builder Notation: {x| x ≤ 3 }

Interval Notation: (-∞,3]

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(i) Write 3^-2 as a fraction
(ii) Find the value of 3X^0 when X=5

Answers

ans Is here i) 1/9

ii) 3

tq brainlest?

How do you draw a line segment equal to a given segment?

Answers

draw a line from the starting point of the segment to the endpoint using the same angle and length.

1. Place a ruler or straightedge on the given segment and draw a line along the length of the ruler.

2. Use a compass to create a line segment equal to the given segment. Set the compass to the length of the given segment, place the point of the compass on one end of the segment, and draw an arc to the other end of the segment.

3. Use a protractor to measure the angle and length of the given segment. Then, draw a line from the starting point of the segment to the endpoint using the same angle and length.

The answer explains three methods for drawing a line segment equal to a given segment: using a ruler or straightedge, using a compass, and using a protractor.

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1. Write 7 example of mathematical expreion. 2. Larry had 5 3/6 yard of fabric. He ued 2 2/3 to make a bag for hi computer. Write an expreion that will how how much of the fabric Larry will have left. PLEASE HURRY UPPPPP!!! I HAVE 1 HOUR LEFT UNTIL SUBMISSION!!!

Answers

a) 7 examples are:

[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]

b) Fabric Larry will have left after using [tex]2\frac{2}{3}[/tex] yard out of [tex]5\frac{5}{6}[/tex] yard to make a bag for his computer is: [tex]3\frac{3}{6} yard[/tex]

What kinds of expressions are examples?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

7 examples of mathematical expression are:

[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]

For the second part of the question:

Larry had 5 3/6 yards of fabric. He used 2 2/3 yards to make a bag for his computer. Write an expression that will show how much of the fabric Larry will have left.

The mathematical expression that represents the amount of fabric Larry has left is:

5 3/6 - 2 2/3 = 2 7/18

You can simplify this further:

2 7/18 = 2 1/6

The amount of fabric Larry will have left is 2 1/6 yards.

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Help me explain this question

Answers

Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .

what is variation ?

Variation is the difference in an individual's genetic make-up that causes a population's members to have different physical characteristics. Variation can be shown in an individual's physical characteristics, fertility, metabolism, and method of reproduction. A variation is a relationship between a set of values for one variable and another set of values. direct change. If m is a nonzero constant and b = 0, the function y = mx (commonly written y = kx) that results from the equation y = mx + b is known as a direct variation.

given

the population of the bugs

b is the no. of bugs = 50 . [tex]3^{t}[/tex]

t is the no. of weeks they first counted

so this question explains

the range of population estimates

Is there a trend in the variation of estimates

Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .

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Sport

Soccer

Jogging

Walking

Skiing

Football

Total

Hrs

5

20

10

5

10

50

Calculate the

portion for jogging

in degrees

[?]

20 hrs.

Total Sport Hours

Answers

The portion for walking in degrees when Soccer take 5 hours, Jogging take 20 hours, Walking take 10 hours, Skiing take 5 hours and Football take 10 hours of the total 50 hours of sport hours is 72 degrees.

Therefore the answer is 72°.

To calculate the portion of walking in degrees, we first need to find the total amount of time spent walking. In this case, it is 10 hours.

Next, we need to find the total amount of time spent on all sports, which is 50 hours.

Now we can calculate the portion of walking by taking the amount of time spent walking (10 hours) and dividing it by the total amount of time spent on sports (50 hours).

This gives us the fraction of time spent walking which is

10/50

= 1/5

Finally, we can convert this fraction to degrees by multiplying it by 360 (the number of degrees in a full circle).

So the portion of walking in degrees is

(1/5) × 360

= 72 degrees

--The question is incomplete, complete question is given below--

"Calculate the portion for walking in degrees when Soccer take 5 hours, Jogging take 20 hours, Walking take 10 hours, Skiing take 5 hours and Football take 10 hours of the total 50 hours of sport hours."

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forty children from an after-school club went to the field trip . this is 25% of the children in the club. how many children are in the club?

Answers

Answer: 25% of 40 is 40 times 25 divided by 100 which is 10 (number of children in the club)

there:)

Answer: 160 children

Step-by-step explanation: 25% times 4 is 100%. So, you'd multiply 40 by 4.

A frictionless pendulum is pulled 3 feet to one side of its center resting point and then released. As
the pendulum swings back and forth, its horizontal position is given by s(t), where t is the number
of seconds since the pendulum was released. Note that s(t) measures the signed distance from the
center position in feet; it is positive when the pendulum is on one side of the center point and
negative when it is on the other side. The function s is sinusoidal.
Part A: If the pendulum were pulled further away from its resting point before it was released, how
would the amplitude of s be affected? Explain.
Part B: If the pendulum were pulled further away from its resting point before it was released, how
would the midline of s be affected? Explain.

Answers

No matter how far it is moved away, the midline of a function stays the same. because a sinusoidal function is involved.

What is amplitude ?

A function's amplitude is the distance that the graph of the function moves above and below its midline. The value of the amplitude when graphing a sine function is comparable to the value of the sine coefficient. the greatest displacement or distance that a point on a wave or vibrating body can travel in relation to its equilibrium position A wave or vibration's amplitude or peak amplitude is a gauge of how far from the central value it deviates. All amplitudes are positive numbers.

given

( A)if pendulum were pulled away from its resting position, then Amplitude is the distance from its resting position to the end where it was released.

Amplitude is the same distance it was pulled away if more distance was pulled away then Amplitude is more.

(B). The midline of function s will not change, it will same irrespective of the distance pulled away. Because it's a sinusoidal function.

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What is the volume of Hannah's suitcase in cubic inches?

Answers

The volume of Hannah's suitcase in cubic inches is: C: 7938.

How to find the volume?

The volume can be determine using this formula

Volume = Length × Width × Depth

Where:

Length = 27 inches

Width = 21 inches

Depth = 14 inches

Let plug in the formula

Volume = 27 inches × 21 inches × 14 inches

Volume = 7,938

Therefore we can conclude that the volume is 7,938.

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y = 2x + 3
y = 2x + 1

Answers

Answer:

This is how you graph it

Step-by-step explanation:

As seen in the equations above, this equation can fit into the equation y=mx+b. M = slope, where is how we will be able to plot the points. Since the slope for both is two, we would go up 2 then right 1, from the y intercept. Which is the point we will be starting at. Plot two points directly on the y-axis at (0,3) and (0,1). Then go back to the slope and go up 2 and right 1. I hope I helped!

3/4 of the tudent paed an Examination. 28 tudent appeared for the exam. How many tudent failed the examination?

Answers

7 students failed the examination out of 28 students who appeared for the examination.

What is the Proportion?

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls)

When we say that a proportion is two ratios that are equal to each other, it means this in the sense of two fractions being equal to each other.

For instance, 5/10 equals 1/2.

If 3/4 of the students passed the exam, this means that 1 - 3/4 = 1/4 of the students failed the exam.

We can use this information to find the number of students who failed the exam by multiplying the total number of students who appeared for the exam by the proportion of students who failed:

Number of students who failed = Total number of students * Proportion of students who failed

Number of students who failed = 28 students * 1/4 = 28 students * 0.25 = 7 students

Hence, 7 students failed the examination out of 28 students who appeared for the examination.

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A ​$280 suit is marked down by ​30%. Find the sale price.

Answers

Answer:

To find the sale price of the suit, we need to first calculate the discount. The discount is equal to the original price multiplied by the discount rate, which in this case is $280 * 30% = $84.

Then we subtract the discount from the original price to find the sale price: $280 - $84 = $196.

So the sale price of the suit is $196.

Step-by-step explanation:

HURRY HURRY WHAT IS THE SOLUTION TO THIS INEQUALITY

6.9

Answers

Answer: no question=no answer

Step-by-step explanation:

What are all values of $p$ such that for every $q>0$, we have$$\frac{3(pq^2 p^2q 3q^2 3pq)}{p q}>2p^2q

Answers

The values of p that satisfy the inequality for all[tex]$q > 0$[/tex] are

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex]and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]

Given:[tex]$$\frac{3(pq^2 p^2q 3q^2 3pq)}{p q} > 2p^2q^2$$[/tex]

Step 1: Multiply both sides by [tex]$\frac{pq}{3}$[/tex] to get: [tex]$$pq^3 p^2q 3q^2 3pq > 2p^2q^3$$[/tex]

Step 2: Simplify the left side to get: [tex]$$3p^2q^3+3pq^3+3q^2 > 2p^2q^3$$[/tex]

Step 3: Divide both sides by [tex]$q^2$[/tex] to get: [tex]$$3p^2q+3pq+3 > 2p^2$$[/tex]

Step 4: This is a quadratic inequality in[tex]$p$[/tex]with solution[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]. Therefore, the values of p that satisfy the inequality for all  [tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]

the given inequality can be simplified to a quadratic inequality in p by multiplying both sides by[tex]$\frac{pq}{3}$[/tex], simplifying the left side, and dividing both sides by[tex]$q^2$[/tex] The solution of the quadratic inequality is

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and

[tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]. Therefore, the values of p that satisfy the inequality for all [tex]$q > 0$[/tex] are

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex]and

[tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex], which means that any value of p that is greater than[tex]$\frac{3+\sqrt{21}}{2}$[/tex] or less than

[tex]$-\frac{3+\sqrt{21}}{2}$[/tex]will satisfy the inequality for all [tex]$q > 0$[/tex]

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How does Earth's rotation cause day and night ?

Answers

Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

The half of the planet facing the Sun experiences daylight, while the half facing away from the Sun experiences darkness. This cycle repeats itself every 24 hours, resulting in the day and night cycle that we experience.

Earth's rotation causes day and night by rotating on its axis, with half of the planet facing the Sun and the other half facing away from the Sun. This cycle of daylight and darkness lasts for  creating the day and night cycle that we observe.Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

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What is the degree of the polynomial 2x² 5x²³ 7?

Answers

The degree of the polynomial  [tex]2xA^2 5xA^2A^37[/tex] is 9

A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.

The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).

Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]

The polynomial has a degree of 6.

This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.

As per question, polynomial is: [tex]2xA^2 5xA^2A^37[/tex]

The total sum of power is: 1+2+1+2+3=9

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in exercise 15, find the expectation if a person buys two tickets. assume that the players ticket is replaced after each draw and that the same tiket can win more than one prize answer

Answers

The expectation is -$9.6

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, a lottery offers one $1000 prize, two $700 prizes, three $300 prizes, and four $200 prizes.

Expected winning per ticket :

Σ(X × p(X)) = [(1000 × 1/1000) + (600 × 2/1000) + (300 × 2/1000) + (200 × 5/1000) - price per ticket

= 1 + 1.2 + 0.6 + 1 - 7

= 3.8-7

= -$3.2

Expected winning if 3 tickets are purchased :

3 × (-3.2) = -$9.6

Hence, the expectation is -$9.6

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A family buy a new minivan for $45,000 and makes a down payment of $12,000. The monthly payment factor is 0.202764. Calculate the monthly payment

Answers

The family's monthly payment for their new minivan is $6,664.52

How to calculate the monthly payment?

To calculate the monthly payment, we first need to find the total amount that the family is financing by subtracting the down payment from the total cost of the minivan: $45,000 - $12,000 = $33,000.

Then, we can use the monthly payment factor to calculate the monthly payment. The formula to do this is:

Monthly Payment = Financed Amount * Monthly Payment Factor

So in this case:

Monthly Payment = $33,000 * 0.202764 = $6,664.52

Therefore, the family's monthly payment for their new minivan is $6,664.52

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Why do I admire my father the most? Find the Average Rate of Change of the table below for the interval 2 < x < 5 Complete the table using the relationship between A and B Solve the problem as directed. The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance d between them. Express this fact as a variation using c as a constant. Use M1 and M2 for the weights of the two bodies. a cylinder has a volume of 24 cubic feet, what is the equation on how to find the volume? Imagine the federal government has a national debt of $10.2 trillion. Congress's budget for the coming year includes a spending projection of $4.2 billion. Tax revenue projects $3.8 billion. Which fiscal policy should Congress adopt to avoid increasing the national debt Misha says that if a line crosses the x-axis before it crosses the y-axis, thevalues of m and b in its equation will both be positive. Is she correct? In this assignment, you and your partners will design a plan for how a city can use a piece of land. You will begin by conducting Internet research on soil erosion. the swim team trains 4 days every week. Mon, Tues, and Thurs, the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. how many hours per week does the team train? Is this a polynomial? 3x^-2-5 Sound and light travel at the same speed. The number $m$ is a three-digit positive integer and is the product of the three distinct prime factors $x$, $y$ and $10x y$, where $x$ and $y$ are each less than 10. What is the largest possible value of $m$ 6. If ON = x^2 - 10, LM = -2x + 5, NM = 3x + 21 and OL = 4y + 18, find the values of x and ygiven that LMNO is a parallelogram.(show work) Question 6 Since the Moon has no living organisms, which method would be best for determining the age of a Moon rock? radioactive dating B law of superposition density of sediment collection D fossil and mineral comparison Me Prior to making your first extrication cut, you must first stabilize the vehicle. What tool will you use What is the factor of the dilation? help me pls and i will make a branliest to the one that gets them all right3 Answer: Electromagnetic energy is associated with a. chemical reactions b. the nuclei of atoms. c. the motion of electric charges. d. motion.4 Answer: Heat energy is associated with a. position or shape. b. holding together the nuclei of atoms. c. the internal motion of particles of matter. d. motion.5 Answer: Chemical energy is a. energy that bounds atoms or ions together. b. contained in the nuclei of atoms. c. a result of the motion of electric charges. d. a result of the internal motion of particles of matter.6 Answer: Nuclear energy is a. energy that bonds atoms or ions together. b. contained in the nuclei of atoms. c. a result of the motion of electric charges. d. a result of the internal motion of particles of matter.7 Answer: An example of stored chemical energy is a. gasoline in an automobile. b. an electric motor. c. the sun's energy. d. light.8 Answer: An object's kinetic energy varies with its a. mass and volume. b. mass and weight. c. volume and velocity. d. mass and velocity.9 Answer: Which of the following is "not" an example of an object with potential energy? a. car battery b. diver prepared to jump off a diving board c. wrecking ball d. moving baseball10 Answer: The factor that has the greatest effect on kinetic energy is a. mass. b. weight. c. velocity. d. density. Explain the application of biology especially the role of microbiology and biotechnology for the growing public and global health needA,in the development of effective diagnostics ,prevention and treatment measures including production of novel drugs and recombinant vaccine B, in the production of nutritionally enriched genetically modified crops and animals to alloviate food insecurity which is a common dilemma particularly in underdeveloped countries Is 9 a positive number? fill in the blank with the correct form of the verb in parentheses. Conjugate verbs #1,5,10. Also give the meaning of each verb.