Let (X, Y) be a pair of discretely distributed bivariate random variables with joint probability mass function (PMF) PX,Y (x, y) = {2- () · ()* if x E {1, 2, }, y = {1,2,...} otherwise If Z := X + Y,

Answer:2 feet i think?

Step-by-step explanation:

sorry need points

The unit price for the apples is $1.5 per pound. The statement is true.

Now, According to the question:

How to calculate the Unit rate of the cost per pound?

8 pounds of Apple costs $12

The unit rate is

8= 12

1= x

We can write, by cross - multiply

8x = 12

x= 12/8

x= 1.5

Hence, the unit rate of the cost per pound is $1.5

And,  5 pounds of apples cost $7.50

cross multiply,

5× 12/8

60/8 = 7.50

5 pounds of apples = 7.50

Hence, The unit price for the apples is $1.5 per pound. The statement is true.

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A player would need to make a goal in approximately 18.85 minutes or faster to be sponsored by the puck company.

To determine how fast a player needs to make a goal to be sponsored by the puck company, we'll need to find the

time cutoff for the top 10% quickest goals.

Step 1: Determine the z-score for the 90th percentile (since we want the top 10%).

We can use a standard normal distribution table (or a calculator) to find that the z-score for the 90th percentile is

approximately 1.28.

Step 2: Use the z-score formula to find the time cutoff.

The formula is: Z = (X - μ) / σ

Where Z is the z-score, X is the time cutoff we're looking for, μ is the mean (12.56 minutes), and σ is the standard

deviation (4.91 minutes).

Step 3: Solve for X.

Rearrange the formula to solve for X: X = Z × σ + μ

Plug in the values: X = 1.28 × 4.91 + 12.56

X ≈ 6.29 + 12.56

X ≈ 18.85

So, a player would need to make a goal in approximately 18.85 minutes or faster to be sponsored by the puck company.

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The algebraic expression become 3n-16<8.

According to the statement

We have to find that the numerical expression.

So, For this purpose, we know that the

Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

From the given information:

the difference between three times a number and 16 is at least 8

Then

From 1st statement it become 3n -16

And with other statement and combining

Then  the equation become

3n-16<8

Now solve the expression for the value of the n

then it becomes

3n<24

n<8.

The value becomes is 8.

So, The algebraic expression become 3n-16<8.

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The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

Thus the value of \((fg)(x) = x^3 -4x^2 -16x -64\) , and the domain is a set of real numbers.

The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.

The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain.  The set of codomains is called a range.

      Example : \(f(x) = 4x+ 3\)

All those values of a set for which a function is defined are called a domain.

According to the question :

\(f(x) = 16 - x^2\\ g(x) = 4 - x.\)

\((fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64\)

Thus the value of \((fg)(x) = x^3 -4x^2-16x-64.\)

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Answer:

given,

ratio= 2:3:5 , smallest part length=6

let x be the common multiple then,

first number (smallest) =2x

6cm =2x

6/2=x

therefore, x=3

now,

1st part=2x=2*3=6

2nd part=3x=3*3=9

3rd part=5x=5*3=15

again,

total length = sum of all part

=6+9+15

=30

therefore 30cm is the answer

Step-by-step explanation:

2, 5, 10

by 2 because it ends with a 0

by 5 because it ends with a 0

by 10 because it ends with a 0

Answer:

1 3/4, 2 3/4

Step-by-step explanation:

is the answer

Answer:

Z=3×15+4=49°

Y=5×25+6= 131°

X=2×15+19= 49°

W=131°

Correct answer 4

Answer:

y= 6x -8

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

\(\boxed{gradient = \frac{y1 - y2}{x1- x2} }\)

Gradient

\( = \frac{4 - ( - 2)}{2 - 1} \)

= 6

y= 6x +c

To find the value of c, substitute the equation with a pair of coordinates.

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.

Answer:

D

Step-by-step explanation:

Remember in order for it to be a function none of the x values can repeat.

The x value 3 repeats therefore it is not a function

Answer:

select d

Step-by-step explanation:

Answer:

the height of the right triangle face of the cheese block is 17 centimeters.

Step-by-step explanation:

We can use the formula for the volume of a triangular prism to solve for h:

Volume = (1/2) × base × height × length

where the base is the length of the triangle, the height is the height of the triangle, and the length is the length of the prism.

We know that the volume of the cheese is 969 cubic centimeters, so we can substitute the given values into the formula:

969 = (1/2) × 12 × 9 × h

Multiplying both sides by 2, we get:

1938 = 12 × 9 × h

Dividing both sides by (12 × 9), we get:

h = 1938 ÷ (12 × 9) = 17

Therefore, the height of the right triangle face of the cheese block is 17 centimeters.

Answer:

20 Counters

Step-by-step explanation:

Total number of counter in a bag= 200 Counters

If 50 Counters out of the total have white paint, the value is then represented as

= 50/200

=1/4

The initial 50 Counters taken out is then put in the bag again and mixed thoroughly to get an even distribution.

If 80 Counters are taken out of the bag, the value is represented as

= 1/4×80

=80/4

=20

Therefore, 20 Counters are expected to be marked with a dab of white paint.

Answer:

I've been looking for the same answer lmk I got it

Answer:

1) dependent

2) independent

Step-by-step explanation:

If the probability of event A happening has no effect on the probability of event B, then the event is independent. If the probability of event A happening changes the probability of event B, the event will be dependent.

With this information, we can solve the problem.

1) A desk caddy:

Because you are not replacing the writing instruments, this will be a dependent event, as you can't choose the same instrument twice. Therefore, the probability of event B will be affected, in this case being the second instrument you choose. Therefore, this is a dependent event.

2) Number cube:

The outcome of the first roll does not affect the outcome of the second roll so this is an independent event.

49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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A different fraction representing the same part of a whole as 7/12 is 84/144

Fractions are simply mathematical expressions representing the part of a whole.

The types of fractions include;

Given the fraction; 7/12

To determine a different fraction that can represent the same portion of a whole, we need to both the numerator and denominator by the denominator.

= 7 × 12/12 × 12

= 84/144

Hence, a different fraction representing the same part of a whole as 7/12 is 84/144

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

193.2 cm^2

Step-by-step explanation:

Count the rectangles together so

(6 + 6 + 6)9 =

18 x 9 = 162 cm^2

then for the triangles

6 x 5.2 = 31.2 cm^2

since there's 2 with the same area there's no need to divide by 2

now add the areas

162 cm^2+ 31.2 cm^2= 193.2 cm^2

Answer:

y = -12 + 4x

Step-by-step explanation:

1. Add 8x to both sides of the equation.

2y = -24 + 8x

2. Divide each term in 2y = -24 + 8x by 2, then simplify.

• Simplify left side: cancel the common factor of 2

y = -24/2 + 8x/2

• Simplify right side: 2y/2 = -24/2 + 8x

y = -12 + 4x

The jailer is correct in pointing out that if Prisoner A knew which of his fellow prisoners would be set free, his own probability of being executed would rise from 1/3 to 1/2. Therefore, the jailer's refusal to answer Prisoner A's question is justified based on probability calculations.

Scenario 1: Prisoner A is chosen for execution (1/3 probability)

In this case, if the jailer tells Prisoner A privately which of his fellow prisoners will be set free, it doesn't change the fact that Prisoner A is the one who will be executed. The information about the other prisoners' fate does not affect Prisoner A's own probability of being executed.

Scenario 2: Prisoner B is chosen for execution (1/3 probability)

In this scenario, if the jailer tells Prisoner A privately that Prisoner C will be set free, then Prisoner A's probability of being executed rises from 1/3 to 1/2. Knowing that one of the other two prisoners will be freed makes Prisoner A realize that if it's not B who is executed, then it must be him. So in this scenario, Prisoner A's probability of being executed does increase to 1/2.

Scenario 3: Prisoner C is chosen for execution (1/3 probability)

Similarly, if the jailer tells Prisoner A privately that Prisoner B will be set free, then Prisoner A's probability of being executed also rises from 1/3 to 1/2. Again, the knowledge that one of the other two prisoners will be freed indicates to Prisoner A that if it's not C who is executed, then it must be him.

From the above analysis, we can see that in two out of the three scenarios, Prisoner A's probability of being executed does indeed increase to 1/2 if he knows which fellow prisoner will be freed. Therefore, the jailer's reasoning is valid in denying Prisoner A's request for private information.

In summary, the jailer is correct in pointing out that if Prisoner A knew which of his fellow prisoners would be set free, his own probability of being executed would rise from 1/3 to 1/2. Therefore, the jailer's refusal to answer Prisoner A's question is justified based on probability calculations.

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The water pipe sometimes bursts in winter because of the flowing water getting transformed into freezing water due to drop in temperature and the volume increases creating more pressure on the wall pipes.

Bursting of Water Pipes During a Very Cold Winter

The straightforward explanation is that during very cold winters, as water freezes into ice, it expands, causing solid ice to fill a larger volume than the liquid that was previously flowing through the pipes.

As we know that, the pressure P increases with increase in volume, V, the increased volume of frozen water leads to increase in the pressure inside the pipe.

The pressure that the ice builds up inside the pipes could rupture the pipe walls.

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Answer: A. False B. True C. True D. False

Step-by-step explanation:

Answer:

False

True

True

False

Step-by-step explanation:

Answer:

angle XYW = -20x + 155

Step-by-step explanation:

angle XYZ = 150

angle WYZ = 20x - 5

angle XYW = y

angle XYZ = 20x - 5 + y

150 = 20x - 5 + y

150 + 5 = 20x + y

y = -20x + 155

So angle XYW = -20x + 155

The solution to the integral is:

\((x - 3)^{(11/2)}/(11/2) + 2(x - 3)^{(9/2)}/(3) + c\)

To evaluate the integral, we can use the substitution u = x - 3, which gives us du/dx = 1 and dx = du.

Substituting u = x - 3, we get:

\(x(x - 3)^{(7/2)} dx = (u + 3)(u)^{(7/2)} du\)

Expanding the product and simplifying, we get:

\((u^{(9/2)} + 3u^{(7/2)}) du\)

Integrating this expression with respect to u, we get:

\((u^{(11/2)}/(11/2) + 3u^{(9/2)}/(9/2)) + c\)

Substituting back u = x - 3 and simplifying, we get:

\((x - 3)^{(11/2)}/(11/2) + 2(x - 3)^{(9/2)}/(3) + c\)

We may apply the substitution u = x - 3 to evaluate the integral, which results in du/dx = 1 and dx = du.

Inputting u = x - 3 results in:

\(x(x - 3)^{(7/2)} dx = (u + 3)(u)^{(7/2)} du\)

By enhancing and streamlining the product, we achieve:

\((u^{(9/2)} + 3u^{(7/2)}) du\)

Adding this expression with regard to u results in:

\((u^{(11/2)}/(11/2) + 3u^{(9/2)}/(9/2)) + c\)

Reversing the equation and simplifying yields:

\((x - 3)^{(11/2)}/(11/2) + 2(x - 3)^{(9/2)}/(3) + c\)

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(2/11)(x - 3)^(11/2 + 2/9) + (2/9)(x - 3)^(13/2 + 1/9) + c. This is the final result of the integral in terms of u, du, and a constant c after making the substitution.

The integral to be evaluated is: ∫ x(x - 3)^(7/2) dx

To simplify the integral, we can make the substitution u = x - 3. This substitution allows us to express the integral in terms of u, du, and a constant c.

Making the substitution, we have:

x = u + 3

dx = du

Now, we substitute these expressions into the original integral:

∫ (u + 3)(u)^(7/2) du

Expanding the expression, we get:

∫ (u^2 + 3u)(u)^(7/2) du

Simplifying further, we have:

∫ (u^9/2 + 3u^(11/2)) du

Now, we can integrate each term separately:

∫ u^9/2 du + ∫ 3u^(11/2) du

Integrating each term, we get:

(u^(11/2 + 2/9))/(11/2 + 2/9) + (2/9)u^(13/2 + 1/9) + c

Simplifying the expressions, we have:

(2/11)u^(11/2 + 2/9) + (2/9)u^(13/2 + 1/9) + c

Finally, substituting back u = x - 3, we have:

(2/11)(x - 3)^(11/2 + 2/9) + (2/9)(x - 3)^(13/2 + 1/9) + c

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Answer:

4,000,000

Step-by-step explanation:

We start by subtracting his salary (20k) from his annual income. That means he got 100,000 from selling homes.

So, what is 100,000 2.5% of?

I used the equation:

100,000 = .025x

with x being the value of all the homes.

Just divide and conquer, and you end up with a final answer of 4 Million

70 members of the school band play a brass instrument.

Let's start by using variables to represent the number of percussion, woodwind, and brass players. We can call the number of percussion players "P," the number of woodwind players "W," and the number of brass players "B." We are given that the total number of players is 130, so:

P + W + B = 130

We are also given that there are twice as many woodwind players as percussion players, so:

W = 2P

And we are given that there are twice as many brass players as percussion players, so:

B = 2P

We can use substitution to solve for P:

P + 2P + 2P = 130

5P = 130

P = 26

Therefore, there are 26 percussion players, 52 woodwind players (2P), and 52 brass players (2P). So, 70 members of the school band play a brass instrument.

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Answer:

A = 3 + 9/10

B = -(3 + 3/10)

Step-by-step explanation:

We have two numbers, A and B, such that:

A + B = 3/5

A - B = 7 + 1/5

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate A in the first equation:

A = 3/5 - B

Now we can replace this in the other equation:

A - B = 7 + 1/5

(3/5 - B) - B = 7 + 1/5

3/5 - 2*B = 7 + 1/5

-2*B = 7 + 1/5 - 3/5

-2*B = 7 - 2/5 = 35/5 - 2/5 = 33/5

B = -(33/5)/2 = -33/10 = - 30/10 - 3/10 = -3 - 3/10 = -(3 + 3/10)

Now that we know the value of B, we can use the equation

A = 3/5 - B

To find the value of A:

A = 3/5 - ( -(3 + 3/10))

A = 3/5 + (3 + 3/10)  = 6/10 + 3 + 3/10 = 3 + 9/10

The numbers are:

A = 3 + 9/10

B = -(3 + 3/10)