consider rolling two fair 6-sided dies. a double roll is when two faces show the same number. what is the expected number of rolls until a double roll appears?
Answers
The expected number of rolls until a double roll appears is 6.
We can approach this problem by using the concept of geometric distribution. Let X be the number of rolls until a double roll appears.
The probability of getting a double roll on the first roll is 1/6, since there are 6 possible outcomes and only one of them is a double roll.
The probability of getting a double roll on the second roll is (5/6) x (1/6), since the first roll must not be a double roll (probability 5/6), and the second roll must be a double roll (probability 1/6).
Similarly, the probability of getting a double roll on the third roll is (5/6) x (5/6) x (1/6), and so on.
Therefore, the probability of getting a double roll on the k-th roll is (5/6)^(k-1) x (1/6).
The expected value of X can be calculated as follows:
E(X) = 1 x (1/6) + 2 x (5/6) x (1/6) + 3 x (5/6)^2 x (1/6) + ...
E(X) = Σ[k=1 to ∞] k x (5/6)^(k-1) x (1/6)
To find the sum of this infinite series, we can use the formula for the sum of an infinite geometric series:
Σ[k=1 to ∞] ar^(k-1) = a/(1-r)
where a is the first term and r is the common ratio.
In this case, a = 1/6 and r = 5/6. Therefore,
E(X) = (1/6)/(1 - 5/6) = 6
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Related Questions
solve the following equation: x2-5=7
Answers
Answer:
x= 6
Step-by-step explanation:
Step 1: Write equation
2x - 5 = 7
Step 2: Solve for x
Add 5 to both sides: 2x = 12
Divide both sides by 2: x= 6
Step 3: Check
Plug in x to verify if it's a solution.
2(6) - 5 = 7
12 - 5 = 7
7 = 7
Understanding the ConceptsIn Exercises 7 and 8, fill in each blank with the appropriate word or phrase.7. To perform a t-test when the sample size is small, the sample must show no evidence of strong and must contain no .
Answers
Answer:
7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.
Step-by-step explanation:
These are the two conditions required for performing a t test
- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.
- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.
- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.
While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.
A museum has 10 paintings by Picasso and wants to arrange 5 of them on the same wall. How many different ways can the paintings be arranged on the wall?
Answers
There are 30,240 different ways that the museum can arrange the 5 paintings by Picasso on the wall here concept of the permutation is used.
To see why, we can use the permutation formula.
P(n, r) = n! / (n - r)!
where n! represents the factorial of n (i.e. the product of all positive integers up to and including n).
In this case, we have 10 paintings to choose from and we want to arrange 5 of them on the wall, so we can use the permutation formula to find the number of ways to do this:
P(10, 5) = 10! / (10 - 5)!= 30,240
Therefore, there are 30,240 different ways that the museum can arrange 5 paintings by Picasso on the wall.
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A five-digit identification card is made. Find the probability that the card will contain the digits 0,1 , 2,3 , and 4 in any order.
Answers
The probability of a five-digit identification card containing the digits 0,1,2,3 and 4 in any order is 1 or 100%.
Given a five-digit identification card is made. We have to find the probability that the card will contain the digits 0,1,2,3, and 4 in any order.
So, we need to find the total number of possible ways of arranging the digits 0,1,2,3 and 4 in a 5-digit number. We can do this by calculating the number of permutations of these digits using the formula for permutation is:
P(n, r) = n! / (n - r)!
Here, n = 5 (the total number of digits) and r = 5 (the number of digits we want to arrange).
So, the total number of possible 5-digit numbers that can be made using the digits 0,1,2,3 and 4 is:P(5, 5) = 5! / (5 - 5)! = 5! / 0! = 5! = 120
Now, we need to find the number of 5-digit numbers that contain the digits 0,1,2,3 and 4 in any order. We can do this by counting the number of permutations of these digits using the formula for permutation is:P(n, r) = n! / (n - r)!Here, n = 5 (the total number of digits) and r = 5 (the number of digits we want to arrange).So, the number of 5-digit numbers that contain the digits 0,1,2,3 and 4 in any order is:P(5, 5) = 5! / (5 - 5)! = 5! / 0! = 5! = 120
Therefore, the probability of a five-digit identification card containing the digits 0,1,2,3 and 4 in any order is:Number of 5-digit numbers that contain the digits 0,1,2,3 and 4 in any order / Total number of possible 5-digit numbers= 120 / 120 = 1 or 100%
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Hen interpreting f (7, 31) = 4.78, p > 0.05, how many subjects were tested in this simple one-way anova?
Answers
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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Work out the size of angle x give a reason for your answer
Answers
Explanation:
The M of angle X is the same as any other angle in the triangle. Because if you where to complete the separate triangle then it would be similar to the current one, meaning that the corresponding angles are congruent. And if both triangles are equilateral triangles, then all angles in both of the two similar triangles are congruent.
So if you find the M of any angle then you can solve for X.
Since we know that the interior angles of any triangle add up to 180*, and that it’s an equilateral triangle, we know that the angles have to be the same. So 180*/3 = 60*
Hope this helps!
Ms. Lewis is hiring a carpenter to repair her shed. The cost of Carpenter L is shown in the table.
A table titled Carpenter L Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred eighty-seven dollars. Two hours, two hundred fifty-nine dollars. Three hours, three hundred thirty-one dollars.
Part A. What is the initial cost and hourly rate of Carpenter L?
Part B. Write an equation to represent the function shown in the table.
Part C. Carpenter N charges $60 per hour and an additional $195 for the materials needed. What is the difference in cost between Carpenter N and Carpenter L if the repair takes 6 hours?
Enter the correct answers in the boxes.
Answers
Answer:
A. $115; $72/hour
B. c = 72h + 115
C. $8
Step-by-step explanation:
Part A.
1 hour: $187
2 hours: $259
2 hours - 1 hour = 1 hour
$259 - $187 = $72
$72/hour
The hourly rate is $72/hour.
Since for the first hour he charges $187, and only $72 comes from the hourly rate, then the initial cost is $187 - $72 = $115.
The initial cost is $115.
Part B.
c = 72h + 115
Part C.
Carpenter L for 6 hours:
c = 72(6) + 115 = 547
$547
Carpenter N for 6 hours:
60(6) + 195 = 555
$555
Difference: $555 - $547 = $8
What must be true for lines a and b to be parallel lines? select two options. Lines a and b are crossed by transversals c and d. The angles formed by lines a, c, and d, clockwise from top left, are (3 x minus 1) degrees, 2, blank, blank, blank, 1. The angles formed by lines b and c are blank, (4 x minus 10) degrees, blank, blank. The angles formed by lines b and d are 58 degrees, blank, blank, blank.
Answers
The angles formed by lines a, c, and d are 90 degrees, 90 degrees, 90 degrees, 90 degrees.The angles formed by lines b and c are 80 degrees, 80 degrees, 80 degrees, 80 degrees.
In order for two lines to be parallel, the angles formed by the lines and any transversal must be equal. In this case, the angles formed by lines a, c, and d must be equal to 90 degrees, and the angles formed by lines b and c must be equal to 80 degrees.
For two lines to be parallel, the angles formed by the lines and any transversal crossing them must be equal. In this particular case, the angles formed by lines a, c, and d must be equal to 90 degrees, and the angles formed by lines b and c must be equal to 80 degrees. This means that the angles formed by lines a, c, and d must be 90 degrees, 90 degrees, 90 degrees, and 90 degrees, clockwise from top left. Similarly, the angles formed by lines b and c must be 80 degrees, 80 degrees, 80 degrees, and 80 degrees. Finally, the angles formed by lines b and d must be 58 degrees, 80 degrees, 80 degrees and 80 degrees. All these conditions must be met for lines a and b to be parallel.
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find the slope 3,3 and 6,1
Answers
Answer:
-2/3
Step-by-step explanation:
(x+2)^2+(x-3)^2-2x^2)
Answers
Answer:
13 - 2x
Step-by-step explanation:
(x +2)² + (x - 3)² - 2x²
Expand.
(x + 2)(x + 2) + (x - 3)(x - 3) - 2x²
x² + 2x + 2x + 4 + x² - 3x - 3x + 9 - 2x²
Bring all the like terms together then simply.
x² + x² - 2x² + 2x + 2x - 3x - 3x + 4 + 9
2x² - 2x² + 4x - 6x + 13
= 13 - 2x (or -2x + 13 )
An oatmeal raisin protein bar recipe calls for 2 cups
of raisins per batch of dough, and 1 batch of dough
makes 5 dozen bars. If 1 cup = 48 teaspoons, which
of the following calculations would give the number
of teaspoons of raisins per bar in 1 batch?
Answers
To find the number of teaspoons of raisins per bar in 1 batch, we need to first calculate the total number of teaspoons of raisins used in 1 batch, and then divide that by the total number of bars in 1 batch.
The recipe calls for 2 cups of raisins per batch of dough, and 1 cup is equal to 48 teaspoons. Therefore, 2 cups of raisins is equal to:
2 cups * 48 teaspoons/cup = 96 teaspoons
One batch of dough makes 5 dozen bars, or 5 x 12 = 60 bars.
So, the number of teaspoons of raisins per bar in 1 batch is:
96 teaspoons / 60 bars = 1.6 teaspoons/bar
Therefore, the correct calculation to use is:
96 teaspoons / 60 bars = 1.6 teaspoons/bar
Kristy rides 6 miles on her bicycle in 40 minutes. Jax rides 4 miles on his bicycle in 30 minutes.
Drag the tiles to complete the ratio tables. Tiles may be used once, more than once, or not at all.
60 added to
Answers
The complete table will be;
For Kristy;
Distance (miles) = 6 12 18 24 30
Time (min) = 40 80 120 160 200
For Jax;
Distance (miles) = 4 8 12 16 20
Time (min) = 30 60 90 120 150
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Kristy rides 6 miles on her bicycle in 40 minutes.
Jax rides 4 miles on his bicycle in 30 minutes.
Now,
By the definition of ratio, we get;
For Kristy;
⇒ 6 : 40 = x : 80
⇒ 6 / 40 = x / 80
⇒ x = 12
And, 6 : 40 = x : 120
6 / 40 = x / 120
x = 18
And, 6 : 40 = x : 200
6 / 40 = x / 200
x = 30
For Jax;
4 : 30 = 8 : x
4 / 30 = 8/x
x = 60
And, 4 : 30 = x : 90
4 / 30 = x / 90
x = 12
And, 4 : 30 = x : 120
4 / 30 = x / 120
x = 16
And, 4 : 30 = x : 150
4 / 30 = x / 150
x = 20
Thus, The complete table will be;
For Kristy;
Distance (miles) = 6 12 18 24 30
Time (min) = 40 80 120 160 200
For Jax;
Distance (miles) = 4 8 12 16 20
Time (min) = 30 60 90 120 150
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Which Figure is a rotation of the Blue Figure?
A
B
C
D
Answers
A card is randomly drawn from a regular deck of cards and then replaced. A second card is thendrawn. Determine the probability that the first card is a spade and the second one is the jack ofclubs.a. 1 out of 208b. 1 out of 56c. 1 out of 204d. 1 out of 55
Answers
Given:
A card is randomly drawn from a regular deck of cards and then replaced. A second card is then drawn.
Required:
Find the probability that the first card is a spade and the second one is the jack of clubs.
Explanation:
The total number of cards in the deck = 52
Total number of spade cards = 13
The total number of jack cards = 13
The number of jack club card = 1
The probability of an event is given by the formula:
\(P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}\)The probability that the first card is a spade is:
\(\begin{gathered} P(s)=\frac{13}{52} \\ P(s)=\frac{1}{4} \end{gathered}\)A second card is drawn when the first card is replaced.
The probability that the second one is the jack of clubs:
\(P(c)=\frac{1}{52}\)The probability that the first card is a spade and the second one is the jack of clubs:
\(\begin{gathered} P=P(s).P(c) \\ P=\frac{1}{4}\times\frac{1}{52} \\ P=\frac{1}{208} \end{gathered}\)Final Answer:
Option a is the correct answer.F
Is 125 a perfect square?
Answers
Answer:
1st answer choice
no because there is no whole number that when multiplied by itself gives 125
Step-by-step explanation:
125 is a perfect cube
5 times 5 times 5 = 125
Answer:
Option A
Step-by-step explanation:
125 is NOT a perfect square, because there is no whole number that multiplies by itself to give 125.
To check the perfectness of a square, take the square root:
\(\sqrt{125} =\) 11.1803399
The above number is NOT a whole number
∴125 is NOT a perfect square
during the entire process of meiosis in humans (n=23) what is the highest and lowest number of total double helices of dna in an individual cell?
Answers
During the entire process of meiosis in humans (n=23) the highest and lowest number of total double helices of DNA in an individual cell is:
Highest: 92 Lowest: 46.
During the process of meiosis in humans, the total number of double helices of DNA in an individual cell can vary. To determine the highest and lowest number, we need to consider the different stages of meiosis.
Meiosis consists of two successive divisions: meiosis I and meiosis II.
Meiosis I: Homologous chromosomes pair up and undergo genetic recombination. Although DNA replication has occurred, each pair of homologous chromosomes consists of two chromatids, resulting in 92 double helices in prophase I.
Meiosis II: Four haploid daughter cells are formed, each containing half the number of chromosomes. The DNA content is halved compared to meiosis I, with 46 double helices in each daughter cell in Telophase II.
Therefore, during the entire process of meiosis in humans (n=23), the highest number of total double helices of DNA in an individual cell is 92 double helices (during prophase I), and the lowest number is 46 double helices (during telophase II).
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A 17-ft ladder is leaning against the side of a house. The top of the ladder is sliding down the house at rate of 5 ft/sec. a) Determine how fast the bottom of the ladder is sliding away when the top of the ladder is 8 feet from the ground. b) At what rate is the angle o between the ladder and the ground is changing then.
Answers
a) d/dt [√(289 - 8²)] = d/dt [√(255)] = d/dt [√(5²*17)] = 5/2√17 m/s.
b) The required value is the rate of change of x when the top of the ladder is 8 feet from the ground, then y = 15 feet.
a) Determine how fast the bottom of the ladder is sliding away when the top of the ladder is 8 feet from the ground. As the ladder leans against the side of the house, it makes a right angle with the ground. Using Pythagorean Theorem, the length of the ladder is given by.
Ladder length = √(hypotenuse)² - (height)²= √(17² - height²) meters. Taking the derivative of both sides of this equation, we get: dL/dt = [d/dt √(289 - h²)] meters/sec. Let h = 8 feet, dL/dt = -5 feet/sec.
Thus, the rate of change of the bottom of the ladder is d/dt [√(289 - h²)] meters/sec when the top of the ladder is 8 feet from the ground, and the bottom of the ladder is sliding away at a rate of 5 feet/sec.
b) At what rate is the angle o between the ladder and the ground changing then. Let y be the height of the ladder and the angle it makes with the ground be x. From the given values, y = 17 cos x.
Taking the derivative of both sides with respect to time: dy/dt = -17 sin x (dx/dt)In the given problem, dx/dt = -5/17sin x. Then, dy/dt = 5 sin x cos x= (5/2) sin 2x.
Solving this value of sin x by Pythagorean Theorem, sin x = 8/17. Substituting the value in the equation for the derivative, we get: dy/dt = (5/2) * sin 2x= (5/2) * sin 2(arc sin(8/17))= (5/2) * (2*8/17 * 15/17)= (600/289) ft/sec.
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Vince borrows $900 to buy a couch. He will pay off the loan by
paying 1.5% simple interest for 2 years. Vince incorrectly calculates
the amount he will pay back using the expression below.
900 + 900(1.015 # 2)
What is the correct amount Vince will pay back altogether? Explain
the error in Vince’s expression.
Answers
The correct amount Vince will pay back altogether for borrowing $900 to buy a couch for 2 years at 1.5% simple interest is $927.
What is the simple interest?The simple interest system computes interest on the principal only.
The system does not add accumulated interest to the principal before computing interest, unlike the compound interest system.
The amount borrowed by Vince = $900
Simple interest rate = 1.5%
Loan period = 2 years
Simple interest amount = $27 ($900 x 1.5% x 2)
The amount to repay = $927 [900 + (900 x 1.5% x 2)]
Thus, based on Vince's expression for computing the final amount, we can identify the error as wrong formula.
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How much longer is a 1in button then a 3/4in button
Answers
Answer:
1/4
Step-by-step explanation:
4/4-3/4=1/4
Need help asap!! Will give brainliest
Answers
Answer:B
Step-by-step explanation:
ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.
Answers
Answer:
=32
Step-by-step explanation:
the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)
Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number.
Answers
Answer:
P(A) = 1/2
Step-by-step explanation:
The question seems incomplete, I assume that we want to find the probability of event A.
Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.
Such that the possible outcomes of rolling the dice is:
{1, 2, 3, 4, 5, 6}
Now we define event A as rolling an even number.
The possible outcomes such that the event A is true are the even numbers:
{2, 4, 6}
So we have 3 outcomes out of 6.
Then the probability of rolling an even numbers, is just the quotient between the number of outcomes of even numbers (3) and the total number of outcomes (6).
Then:
P(A) = 3/6 = 1/2 = 0.5
The sampling distribution of differences between means approximates a normal curve whose _____is zero.
Answers
The sampling distribution of difference between means approximates a normal curve whose mean is zero.
The sampling distribution means the probability distribution based on the large number of samples of size n from the given population
Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.
Here they used the normal curve, sot its mean value is zero
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On Friday night, the Morrison family set up camp in
the Ocala National Forest. On Saturday morning they hiked to a wilderness area 3 miles due north and 4 miles due east of their campsite. The elevation of the wilderness area is the same as the elevation of the campsite. To the nearest 0.1 mile, what is the straight line distance from the wilderness area to the Morrisons' campsite?
Answers
The straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.
To find the straight-line distance from the wilderness area to the Morrisons' campsite, we can use the Pythagorean theorem.
Let's consider the campsite as the origin (0, 0) on a coordinate plane. The wilderness area is located 3 miles due north and 4 miles due east from the campsite. Therefore, its coordinates are (4, 3).
Using the Pythagorean theorem, the straight-line distance d is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates of the campsite (0, 0) and the wilderness area (4, 3) into the formula, we get:
d = √((4 - 0)² + (3 - 0)²)
= √(4² + 3²)
= √(16 + 9)
= √25
= 5
Therefore, the straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.
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An architect was hired to construct a den in the shape of a square. If the client wanted to double the length of each side of the square, how would the new area of the room compare with the area of the original room?
Answers
The new area of the room will be 4 times the area of the original room.
How to find the area of a square?An architect was hired to construct a den in the shape of a square. The clients wants to double the side length of the square.
Therefore, the new area of the room can be compared to the original area as follows:
A square is a quadrilateral with all sides equal to each other. The sum of angles in a square is 360 degrees.
Let
x = side length of the original square room
Hence,
area of the original square room = x²
Let's double the side length of the square room.
side length = 2x
Hence,
area of the square = (2x)² = 4x²
Therefore, the new area of the original room will be multiplied by 4.
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HURRY I NEED THE ANSWER !!!!!!
Which equation corresponds to the graph shown?
Answers
Step by Step Explanation:
That graph happens when x^2, then you can see the graph is up one so the y-intercept is 1, so the equation is y=x^2+1
Eric drew a scale drawing of the high school. The parking lot, which is 54 meters wide in real l
6 centimeters wide in the drawing. What is the scale of the drawing?
1 centimeter :
meters
Answers
Answer:
9 meters
Step-by-step explanation:
54/6 = 9
Answer:
9 meters
Step-by-step explanation:
a cylinder of radius and height has volume a. use the linear approximation to show that b. estimate the percentage increase in if and are each increased by c. the volume of a certain cylinder is determined by measuring and which will lead to a greater error in : a 1% error in or a 1% error in ?
Answers
A 1% error in r will lead to a larger error in the volume.
A 1% error in r will cause a larger error in the volume, since the percentage increase in volume is proportional to the square of r.
The volume of a cylinder of radius r and height h is V = πr2h. The linear approximation to the volume of a cylinder is given by V ≈ πr2(h + r).
Thus, the percentage increase in volume when r and h are each increased by c is given by 100% × (Vnew - Vold) / Vold = 100% × (π(r + c)2(h + c + r) - πr2h) / πr2h = 200c/r + 100c/h.
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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two airplanes are separated by an angle of 58°. The large plane is 5.2km from the observation tower. a. Draw a diagram to represent this situation. b. How far is the small plane from the observation tower, to the nearest tenth of a kilometer?
Answers
Answer:
7.9km
Step-by-step explanation:
(a)See attached for the diagram representing this situation.
(b)
In Triangle ABC
\(\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ\)
Next, we determine the value of Angle B.
\(\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ\)
Finally, we find b.
\(\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)\)
The distance between the small plane and the observation tower is 7.9km.
What is the difference between Z1 and z2, and where is the difference located?
difference: 0 + 4i; location: on the real axis
difference: -10 + 0i, location: on the real axis
difference: 0 + 4i, location: on the imaginary axis
difference: -10 + 0i, location: on the imaginary
axis
Answers
Answer:
difference: -10 + 0i, location: on the real axis
Step-by-step explanation:
got it right on edge
The difference between Z1 and Z2 is -10 + 0i.
\(Z_{1} -Z_{2}\) locates on the real axis.
Option B is correct.
What are complex numbers?Complex numbers are the numbers that are expressed in the form of
a + ib where, a, b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (\(\sqrt{-1}\)). For example, 2 + 3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
From the graph we can know
\(Z_{1} (-5,2) = -5 +2i\)
\(Z_{2} (5,2) = 5 +2i\)
The difference between Z1 and Z2 is \(Z_{1} -Z_{2}\)
\(Z_{1} -Z_{2}\) = (-5 + 2i) - (5 + 2i)
= -5 + 2i - 5 - 2i
= -10 + 0i
\(Z_{1} -Z_{2}\) locates on the real axis.
Option B is correct.
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