What is 5 x x I don’t know the answer please give me it!

Answers

Answer 1

Answer:

5i is an imaginary number and it's square is - 25.

by definition zero is considered to be both real and imaginary.

Step-by-step explanation:

#studywell #workhard #worksmart


Related Questions

Ireland owes her dad $100. She plans on paying him $20 per week until it is paid off.

Answers

Answer:

5 weeks

Step-by-step explanation:

I believe your looking for the time it will take her to pay it off.


For the given​ value, determine the​ quadrant(s) in which the
terminal side of the angle lies.
Tan(Theta)=-8.200

Answers

The value tan(θ) = -8.200, we can conclude that the terminal side of the angle lies in the fourth quadrant.

To determine the quadrant(s) in which the terminal side of the angle lies given that **tan(θ) = -8.200**, we can use the relationship between the trigonometric functions and the signs of the coordinates in each quadrant.

Since **tan(θ)** is negative (specifically, -8.200), we know that the angle must lie in either the second quadrant or the fourth quadrant.

In the second quadrant, both sine and tangent are positive, but cosine is negative. However, since **tan(θ)** is negative, we can conclude that the angle does not lie in the second quadrant.

In the fourth quadrant, both sine and tangent are negative, while cosine is positive. Since **tan(θ)** is negative, the angle must lie in the fourth quadrant.

Therefore, based on the given value **tan(θ) = -8.200**, we can conclude that the terminal side of the angle lies in the fourth quadrant.

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Molly's school is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and 11 student tickets for a total of $125. The school took in $180 on the second day by selling 14 senior citizen tickets and 8 student tickets. What is the price each of one senior citizen ticket and one student ticket?

Answers

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Find the volume of the sphere:

A. 452.4 cubic meters
B. 904.8 cubic meters
C. 150.8 cubic meters
D. 36 cubic meters

Find the volume of the sphere: A. 452.4 cubic meters B. 904.8 cubic meters C. 150.8 cubic metersD. 36

Answers

Answer:  904.8 cubic meters (choice B)

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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joanne is the store manager at glitter, a jewelry store. new merchandise arrives that needs to be priced and displayed quickly, before each holiday season. she requires all the sales staff to stay after normal work hours to get this task done. joanne is exercising her power that she gets from her position of authority.legitimateexpert coercivesoft

Answers

Joanne, as the store manager at Glitter, is exercising her legitimate power that she obtains from her position of authority.

Legitimate power refers to the authority that comes with a specific role or position within an organization. In this case, Joanne's role as store manager grants her the power to make decisions and direct her sales staff. She uses this power to require her team to stay after normal work hours to complete tasks such as pricing and displaying new merchandise before each holiday season. This demonstrates that her power is derived from her position within the company rather than her personal attributes or expertise.

It is important to differentiate legitimate power from other forms of power, such as expert power, coercive power, and soft power. Expert power is based on one's knowledge and skills in a specific area, while coercive power involves using threats or force to get others to comply. Soft power, on the other hand, refers to influencing others through persuasion, diplomacy, and personal appeal.

In the context of this scenario, Joanne's power is primarily legitimate, as it stems from her position as store manager, rather than her expertise or personal influence.

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Write the Linear Model using Slope Intercept form y = mx + b 4. (-4, 6), (-6, 8)

Answers

1) Let's write a Linear model, i.e. a linear function that describes the behavior of the line that intercepts those points (-4, 6), (-6, 8)​

2) So let's start by finding the slope

So the slope is m=-1

3) Now let's find the linear coefficient (b), by picking one of those points and plugging into the linear formula:

6=-1(-4)+b

6=4+b Flipping it

b=6-4

b=2

4) So the linear model, is y=-1/5x +2

Write the Linear Model using Slope Intercept form y = mx + b 4. (-4, 6), (-6, 8)

need the 6 questions on the worksheet done with work

need the 6 questions on the worksheet done with work

Answers

Answer:

download cymath has answer with step by step work

Answer:

what grade is this ?ujkko

please answer asap !!
What is the zero of f?
(15 points!)

please answer asap !!What is the zero of f?(15 points!)

Answers

The zero is x = 3, since that is where it crosses the x-axis

The length of xy (the minor arc) is 15 cm. What is the circumference of OZ?
O A. 94.2 cm
O B. 426 cm
O C. 180 cm
O D. 540 cm
O E. 360 cm
O F. 450 cm

The length of xy (the minor arc) is 15 cm. What is the circumference of OZ?O A. 94.2 cmO B. 426 cmO C.

Answers

Answer:450

Step-by-step explanation:

The correct answer is option (F) 450 cm

The formula to find the arc length of the circle:

For a circle with radius 'r' and the central angle 'θ' (in radians), an arc length 's' is,

s = r × θ

The formula of the circumference of the circle:

C = 2 × π × r

We have been given that the length of xy (the minor arc) is 15 cm and angle = 12°.

⇒ θ = 0.209 radians

Let r be the radius of the circle.

xy = 15

⇒ r × θ = 15

⇒ r × 0.209 = 15

⇒ r = 71.77 cm

The circumference of the circle is,

C = 2 × π × r

⇒ C = 2 × π × 71.77

⇒ C = 450.95

⇒ C ≈ 450 cm

Therefore, the circumference of the circle is option (F) 450 cm

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What is the slope of the line through (-1,2) and (-3,-2)? 5 4 3 (-1,2) 1 2 3 4 1 -2 ((-3,-2) O A. 2 O B. O C. - O D.-2

Answers

\(\begin{gathered} \text{The slope is} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-2-2}{-3-(-1)} \\ \\ m=\frac{-4}{-2} \\ m=2 \\ \\ \text{the slope is 2} \end{gathered}\)

PLEASE ANSWER ASAP WILL GIVE POINTS!!!!

PLEASE ANSWER ASAP WILL GIVE POINTS!!!!

Answers

B. 2EF3 + 3G2H --> 6GF + E2H3

Negative four and one-fifth minus negative thirteen and one-tenth

Answers

Answer:

8 nine tenths

Step-by-step explanation:

-4 1/5 -(-13 1/10)
(-21/5) - (-131/10)
(-42/10)-(-131/10)
131-42=89
89/10
8 and nine- tenths or 8 9 divided by 10

Let X and Y be independent standard normal random variables, and define a new rv by U = .6X + .8Y. A. Determine Corr(X, U). B. How would you alter U to obtain Corr(X, U)= RHO for a specified value of Rho?

Answers

Corr(X, V) = Cov(X, V) / (σ(X) * σ(V))

= (ρ * σ(X) * 0.6) / (1 * |ρ * σ(X)|)

= 0.6

What is Random Variable?

Random variables are mathematical quantities that take on different values ​​based on the outcome of a random event. They are used to model and analyze uncertain or random phenomena in various fields such as statistics, probability theory, and physics.

A. To determine Corr(X, U), we need to find the correlation between X and U, which can be calculated as the covariance between X and U divided by the product of their standard deviations.

Cov(X, U) = Cov(X, 0.6X + 0.8Y) [since U = 0.6X + 0.8Y]

= 0.6Cov(X, X) + 0.8Cov(X, Y) [by linearity of covariance]

Since X and Y are independent, Cov(X, Y) = 0.

Cov(X, U) = 0.6Cov(X, X) + 0.8Cov(X, Y)

= 0.6Var(X) [since Cov(X, X) = Var(X) and Cov(X, Y) = 0]

Now Var(X) = 1 [since X is a standard normal random variable]

Therefore,

Cov(X, U) = 0.6(1) = 0.6

To calculate standard deviations, we have:

σ(X) = sqrt(Var(X)) = sqrt(1) = 1 [standard deviation of X]

σ(U) = sqrt(Var(U)) = sqrt(Var(0.6X + 0.8Y))

= sqrt(0.6^2 Var(X) + 0.8^2 Var(Y)) [since X and Y are independent]

= sqrt(0.6^2 + 0.8^2) [because Var(X) = Var(Y) = 1]

= sqrt(0.36 + 0.64)

= sqrt(1)

= 1 [standard deviation of U]

Therefore, Corr(X, U) = Cov(X, U) / (σ(X) * σ(U)) = 0.6 / (1 * 1) = 0.6.

B. To obtain Corr(X, U) = ρ, where ρ is the given value, we can adjust U by multiplying it by the desired correlation coefficient ρ and the standard deviation of X. Let us call the adjusted random variable V.

V = ρ * σ (X) * U

Now the correlation between X and V can be calculated as:

Corr(X, V) = Cov(X, V) / (σ(X) * σ(V))

Since V = ρ * σ(X) * U, we have:

Cov(X, V) = Cov(X, ρ * σ(X) * U)

= ρ * σ(X) * Cov(X, U) [by linearity of covariance]

We know from part A that Cov(X, U) = 0.6. Therefore,

Cov(X, V) = ρ * σ (X) * 0.6

Now the standard deviation of V can be calculated as:

σ(V) = σ(ρ * σ(X) * U)

= |ρ * σ(X)| * σ(U)

Since σ(U) = 1, we have:

σ(V) = |ρ * σ(X)| * 1

= |ρ * σ(X)|

Finally, we can substitute the values ​​into the correlation formula:

Corr(X, V) = Cov(X, V) / (σ(X) * σ(V))

= (ρ * σ(X) * 0.6) / (1 * |ρ * σ(X)|)

= 0.6

By changing U to V = ρ * σ (X) * U, we can obtain Corr (X, V) = ρ for any specified value of ρ.

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The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)

Answers

Based on the given options, both 3,4,5,6 and 3,4,5,6i could be the complete list of roots for a fourth-degree polynomial. So option 1 and 2 are correct answer.

A fourth-degree polynomial function can have up to four distinct roots. The given options are:

3, 4, 5, 6: This option consists of four real roots, which is possible for a fourth-degree polynomial.3, 4, 5, 6i: This option consists of three real roots (3, 4, and 5) and one complex root (6i). It is also a valid possibility for a fourth-degree polynomial.3, 4, 4+i√x: This option consists of three real roots (3 and 4) and one complex root (4+i√x). However, the presence of the square root (√x) makes it unclear if this is a valid root for a fourth-degree polynomial.3, 4, 5+i, -5+i: This option consists of two real roots (3 and 4) and two complex roots (5+i and -5+i). It is possible for a fourth-degree polynomial to have complex roots.

Therefore, both options 1 and 2 could be the complete list of roots for a fourth-degree polynomial.

The question should be:

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)

1. 3,4,5,6

2. 3,4,5,6i

3. 3,4,4+i\(\sqrt{6}\)

4. 3,4,5+i, 5+i, -5+i

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Renting a canoe in a nautical center costs $ 5 per hour and $ 5 for each additional hour. Determine the equation of the function that reflects this situation.

Answers

Answer: 5 + 5w

Step-by-step explanation:

We can use the variable x to describe each additional hour, although the vairable can be substituted for any other vairable.

We know that the main cost for one hour is $5, and that each additional hour will cost $5.

Therefore, the equation to reflect this situation would be 5 + 5w, because the first 5 represents the first hour, and the 5w represents how much each hour costs. If you rent two extra hours, then the cost would end up being 15, because the equation would become: 5 + (5x2) = 15.

The equation is 5 + 5w. Hope this helps, and good luck!

Identify the variance and the standard deviation of the given data set. Round to the nearest hundredth.
{56, 57, 34, 50, 40, 61, 50, 39}

Answers

Answer:

82.73  v      

9:10 s

Step-by-step explanation:

Two caseworkers share an office. The first caseworker has fifteen active cases. The second caseworker has twice the number of active cases. how many active cases does the office have?

Answers

Answer:

45

Step-by-step explanation:

first caseworker = 15 active cases

second caseworker = 2 x number of active cases

                                 = 2 x 15

                                 = 30 active cases

∴ number of active cases the office have = 15 + 30

                                                                     = 45

The required number of the total active case in the office is 45 cases.

Given that,
Two caseworkers share an office. The first caseworker has fifteen active cases. The second caseworker has twice the number of active cases, how many active cases the office have is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Active cases, that first case worker have = 15
Active cases, that second case worker has =  2 (15) = 30
Total number of the active cases = 15 + 30 = 45 cases,

Thus, the required number of the total active case in the office is 45 cases.

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Sketch the organization of a three-way set associative cache with two-word blocks and a total size of 48 words. Your sketch should have a style similar to Figure 5.18, but clearly show the width of the tag and data fields. Address 31 30 ... 12 11 10 9 8...3210 22 Tag Index V Tag Data V Tag Data V Tag Data V Tag Data Index 0 1 2 253 254 255 22 32 4-to-1 multiplexor Hit Data FIGURE 5.18 The implementation of a four-way set-

Answers

A three-way set associative cache with two-word blocks and a total size of 48 words can be organized into 3 sets, each having 4 lines, where each line contains a 15-bit tag and 32-bit data field.

The cache organization can be represented as follows:

Address bits: 31 30 ... 12 11 10 ... 5 4 ... 0

Field: Tag Set Index Word Offset

To implement a three-way set associative cache with 48 words, we need to have 16 sets (48/3) with 3 lines each. Since each line has a 32-bit data field, the total size of the cache will be 48 x 64 bits.

The tag field for each line will be 15 bits wide (log2(16 sets) + log2(2 words per block) + 12 offset bits = 15). The index field will be 4 bits wide (log2(16 sets) = 4).

The word offset field will be 5 bits wide (log2(2 words per block) = 1, 12 bits total address bits - 4 bits index bits - 15 bits tag bits = 12 bits offset bits, 2^5 = 32 words per block).

Therefore, each line in the cache will have a 15-bit tag field and a 32-bit data field. The cache will be organized into 3 sets, each having 4 lines. Each set will have a 4-to-1 multiplexor to select the appropriate line to read or write data.

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HELP NEEDED ASAP

Order the numbers from least to greatest​

HELP NEEDED ASAPOrder the numbers from least to greatest

Answers

Answer:

-31/6, -/26, -5, -5/6

first choice is the answer

The probability a d-link network server is down is 0.10. if you have three independent servers, what is the probability that at least one of them is operational?

Answers

The probability that at least one of them is operational is 0.999

Probability:

Probability means the possibility of happening the particular event. So, it can be written as the fraction of possible event by the total number of event.

Given,

The probability a D-Link network server is down is 0.10.

Here we need to find if you have three independent servers, what is the probability that at least one of them is operational.

Let D be an event that a D-Link network server is down.

It is given that the probability that a D-Link network server is down is

=> P(D) = 0.10

The number of independent servers

=> (n) = 3

The probability that none of the servers is working is

=>P(None) = P(D) x P(D) x P(D)

=> P(None) = 0.10 x 0.10 x 0.10

=> P(None) = 0.001

The probability that at least one of them is operational is given as

=> 1 - P(None)

=> 1 - 0.001

=> 0.999

Therefore, the probability that at least one of them is operational is 0.999.

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The measure of angle C __is
degrees, and the measure of angle D__ is
degrees.

The measure of angle C __isdegrees, and the measure of angle D__ isdegrees.

Answers

Answer:

C=78

D=102

Step-by-step explanation:

co-interior angles are sepplementary

Margot is driving from springfield to hillwood 918 miles apart from each other margarita already drove 598 miles if margot drives at a constant speed of 64 miles per hour what equation can we make to find out how much time will margot take to get to hillwood represent the time in hours as the variable x

Answers

We can use the equation x = (918 - 598)/64 to calculate the time in hours that Margot will take to get to Hillwood, where x represents the time in hours and 64 is her constant speed in miles per hour.

Step 1: Subtract 598 (the number of miles Margot has already driven) from 918 (the total number of miles between Springfield and Hillwood).

918 - 598

= 320

Step 2: Divide 320 (the remaining number of miles between Springfield and Hillwood) by 64 (Margot's constant speed in miles per hour).

320/64

= 5

Step 3: The answer, 5, represents the number of hours that Margot will take to get to Hillwood.

The equation

x = (918 - 598)/64

can be used to calculate the time, in hours, that it will take Margot to get to Hillwood from Springfield. The equation uses the number of miles between the two cities (918) minus the number of miles Margot has already driven (598) and divides it by her constant speed (64 miles per hour). The answer, 5, represents the number of hours that Margot will take to get to Hillwood.

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If f(x) = 3-2x, which of the following are true? Select all that apply.
A. f-¹(1) = 1
B. f¹(-1) = 2
C. f-¹ (2) = 1/2
D. (fof-¹)(-2) = -2

If f(x) = 3-2x, which of the following are true? Select all that apply.A. f-(1) = 1B. f(-1) = 2C. f-

Answers

The true statements are A. f-¹(1) = 1, B. f¹(-1) = 2 and  C. f-¹ (2) = 1/2

How to determine the true statement

From the question, we have the following function that can be used in our computation:

f(x) = 3 - 2x

Rewrite as, to determine the inverse function

y = 3 - 2x

So, we have

2x = 3 - y

This gives

x = (3 - y)/2

Next, we test the options

f-1(1) = (3 - 1)/2 = 1f-1(-1) = (3 + 1)/2 = 2f-1(2) = (3 - 2)/2 = 1/2(f . f-1)(-2) = -2 --- false

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Find f if f ″(x) = 12x^2 +6x − 4, f(0) = 8, and f(1) = 2.

Answers

We start by integrating the given function f''(x) twice to find f(x):

f''(x) = 12x^2 + 6x - 4

Integrating both sides with respect to x:

f'(x) = 4x^3 + 3x^2 - 4x + C1

where C1 is a constant of integration.

Applying the initial condition f(0) = 8, we get:

f'(0) = C1 = 8

Therefore, f'(x) = 4x^3 + 3x^2 - 4x + 8

Integrating both sides again with respect to x:

f(x) = x^4 + x^3 - 2x^2 + 8x + C2

where C2 is a constant of integration.

Applying the second initial condition f(1) = 2, we get:

f(1) = 1 + 1 - 2 + 8 + C2 = 8 + C2 = 2

Therefore, C2 = -6

Thus, the function f(x) is:

f(x) = x^4 + x^3 - 2x^2 + 8x - 6

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Help me pleasee... thank you sm in advance.

Help me pleasee... thank you sm in advance.

Answers

the answer is x - y. this is because there are no given values for the angles and no way to indicate that the angle is supplementary (180 degrees) or complementary (90 degrees)

Which is a solution to the equation?
(x -2)(x+5)=18
a. x=-10
b. x=-7
c. x=-4
d. x=-2

Answers

Given statement solution is :- Among the options provided, the correct solution to the Quadratic equation is:

b. x = -7

To find the solution to the equation (x - 2)(x + 5) = 18, we can start by expanding the equation:

(x - 2)(x + 5) = 18

\(x^2\) + 5x - 2x - 10 = 18

\(x^2\) + 3x - 10 = 18

Now, we can rearrange the equation to bring all terms to one side:

\(x^2\) + 3x - 10 - 18 = 0

\(x^2\)+ 3x - 28 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. Factoring may not be straightforward in this case, so we'll use the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / (2a)\)

In this equation, a = 1, b = 3, and c = -28. Plugging these values into the quadratic formula, we get:

\(x = (-3 ± √(3^2 - 4 * 1 * -28)) / (2 * 1)\)

x = (-3 ± √(9 + 112)) / 2

x = (-3 ± √(121)) / 2

x = (-3 ± 11) / 2

We have two possible solutions:

x = (-3 + 11) / 2 = 8 / 2 = 4

x = (-3 - 11) / 2 = -14 / 2 = -7

Among the options provided, the correct solution to the Quadratic equation is:

b. x = -7

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A rectangle has an area of 48cm^2 & a perimeter of 38cm. What are the dimensions of the rectangle?
(If you can answer this, I'll give u Brainliest :])

A rectangle has an area of 48cm^2 & a perimeter of 38cm. What are the dimensions of the rectangle?(If

Answers

C............... .......

Answer:

10 is your answer

Step-by-step explanation:

I would love brainliest, thanks!

A growers' cooperative has a farmer's market in the town
center every Saturday. They sell what they have grown and
split the money into several categories. 8.5% of all the money
taken in is set aside for sales tax. $125 goes to pay the rent on
the space they occupy. What remains is split evenly between
the seven growers. How much total money is taken in if each
grower receives a $175 share?

Answers

The statement tells us several important things:

1. Of all the money collected from sales, 8.5% is for sales tax.

2. Of all the money collected from the sales, $125 goes to pay the rent for the space that I am using.

3. After deducting the taxes and the rented space, they divide the remaining money into 7 equal parts, which corresponds to $175.

To find the value of the money collected we first calculate the money that is known, i.e. the $175 for 7 of the growers and the $125 for the rent of the space.

\(\begin{gathered} 175\cdot7+125 \\ 1225+125=1350 \end{gathered}\)

This amount of money corresponds to the percentage remaining after taxes are taken out.

\(100-8.5=91.5\)

The percentage of this amount of money is 91.5%, the percentage of this amount of money is 91.5%.

\(1350\cdot\frac{100}{91.5}=1475.4\cong1476\)

In conclusion, the answer is $1476

John goes to the casino and plays a slot machine. The probability that he wins on the first spin is 2/5. For all subsequent spins, the probability of John winning will be 5/6 if John wins in the preceding round, and the probability of John winning will be 1/5 if John did not win in the preceding round.(a) John plays 3 rounds. Find the probability that he wins on the third round, given that he only won two rounds of the three. (4 marks)(b) Let X denote the number of rounds John need to play before he finally wins for the first time. Comment on the suitability of modelling X after the geometric distribution. Compute P(X = 5). (3 marks)(c) John visits the casino on 20 separate days, he played exactly 10 rounds on each day. Let Y denote the number of days (out of 20) that John does not win anything. State any necessary assumptions required in order to suitably model Y after the binomial distribution. State clearly the parameters of this binomial distribution as well. (4 marks)(d) Assume that your assumptions in Question 2(c) hold. Compute E(Y) and Var(Y ). (4 marks)

Answers

For (a), the probability that John wins on the third round given that he only won two rounds of the three is 5/6.



For (b), the suitability of modelling X after the geometric distribution is appropriate because the geometric distribution is the probability distribution of the number of Bernoulli trials needed to get one success. The probability of John winning on the fifth round is $(\frac{2}{5})^4(\frac{5}{6})=\frac{50}{648}$



For (c), any necessary assumptions required in order to suitably model Y after the binomial distribution is that the trials (i.e. rounds of play) are independent, and that the probability of success is the same for each trial. The parameters of this binomial distribution are: n = 10, p = 1/5.



For (d), assuming the assumptions in Question 2(c) hold, the expected value of Y (E(Y)) is 8 and the variance of Y (Var(Y)) is 2.4.

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Answers

The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Now,

Since, F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Hence, The values are;

F ∩ H = {v | v < 4 } ∩  {v | v ≥ 7 }

         = Ф

And, F ∪ H = {v | v < 4 } ∪  {v | v ≥ 7 }

                 = (- ∞, 7]

Thus, The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

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