In the graph z1 and z2 are complex numbers represented as vectors from the origin. What is z2-z1?
Answers
Finding the complex numbers and subtracting them, it is found that z2 - z1 = (0, -4).
What are complex numbers?They are in the format:
z = a + bi.
In which:
a is the real part.b is the imginary part.In a graph, the real part is the horizontal axis, while the imaginary part is the vertical axis. Hence, the numbers are given by:
z1 = (2,5).z2 = (2,1).What is the subtraction?To find the result of the subtraction, we subtract each part, hence:
z2 - z1 = (2,1) - (2,5) = (2 - 2, 1 - 5) = (0, -4).
More can be learned about complex numbers at https://brainly.com/question/25572463
Related Questions
5 questions! Math, answer by saying "question __ is ____ " thank you! picture included! 50 points!
Answers
Answer:
1.c
2.a
3.d
4.b
5.b
Step-by-step explanation:
I found the answers on a web site.
Answer:
1.A
2.D
3.C
4.B
5.A
Step-by-step explanation:
4. In 2003, Mississippi’s labor force totaled
1,312,700 persons. The unemployment rate in
the state was 5.6 percent. Approximately how
many people were employed in that year?
Round your answer to the nearest thousand.
Answers
employed: 1,312,700 people
total people : 1,312,700 unemployment : 5.6%employed : 100% - 5.6% = 94.4%employed people:
94.4% * 1,312,700 1239188.8≈ 1239189 peopleUnemployed persons
5.6% of 13127000.056(1312700)73511Employed persons
1312700-735111238989Rewrite the equation below so that it does not have fractions.
3+ 2/3 x = 2/5
Answers
Answer:
3 + 2 divided by 3 = 2 divided by 5
Step-by-step explanation:
The Jones' old $47,000, 30 year, 12.8% mortgage has a monthly payment of $512.58. Over the 6 years since they took the loan, mortgage rates dropped. They can now apply for a mortgage at 9.05%, which will result in a new monthly payment of $369.36. To refinance, they must pay $1,020 in closing costs and a $480 prepayment penalty. Find the net amount they will save in the first year.
Answers
The net amount that will be saved by the Jones for the first year will be $814.32.
How to calculate the net amount?From the information given, the old mortgage yearly payment will be:
= Monthly payment × Months
= $259.32 × 12
= $3111.84
The new monthly yearly payment will be:
= Monthly payment × Months
= $327.18 × 12
= $3926.16
Therefore, the net amount that will be saved will be:
= $3926.16 - $3111.84
= $814.32
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For this question, I solve Q.1, but I cannot solve Q2.
Q1. Suppose that the balance of a person’s bank account in Superior, WI is normally distributed with mean $580 and standard deviation $125. Find the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents.
Q2. For the same setup as in Problem 2, find the probability a random person from
Superior has less than $400 or more than $1000 in their bank account.
Answers
The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p-value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
Let we take:
X = The balance of a person’s bank account in Superior, WI
Then, by the given data, we have:
[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]
Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.
Symbolically, we have:
[tex]P(X < x) = 80\% = 0.8[/tex]
Converting X to standard normal variate Z, we have:
[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]
Thus, the probability statement can be rewritten as:
[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]
From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.
Thus, we get:
[tex]P(Z < z = 0.845) \approx 0.8[/tex]
Thus, we get:
[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]
Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.
Now, for second question, we need:
The probability a random person from Superior has less than $400 or more than $1000 in their bank account.
So, income of a random person from Superior is a random value of X.
So, this probability is written as:
[tex]P(400 < X < 1000)[/tex]
Rewritting it, we get:
[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]
Converting X to Z (standard normal variate), we get:
[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]
The p-value for Z = 3.36 is 0.9996
The p-value for Z = -1.44 is 0.0749
Thus, we get:
[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]
Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
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#SPJ1
please show me how you also got the answer as well, thanks a bunch!!
Answers
Answer:
Step-by-step explanation:
Select the correct answer.
A company designs a new water pitcher. They take a picture of the pitcher for their promotional materials. What is the approximate area filled
by the water in the picture on the flyers?
5 in
4 in
3 in
12 in
8 in
О А.
about 48 in?
B. about 66 in?
Oc about 32 in?
OD. about 80 in?
Answers
Applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²
What is the Area of a Trapezium?Area of trapezium = 1/2(a + b)h.
The following are dimensions of the area of the trapezium filled with water:
Level of water (a) = median of the bigger trapezium = (3 + 8)/2 = 5.5 = 6 in.b = 8 in.Height ≈ 12/2 = 6 in.Area = 1/2(6 + 8) × 6 = 42 in.²
Therefore, applying the area of trapezium, the approximate area filled by water in the picture would be close to: about 48 in.²
Learn more about area of trapezium on:
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The mean of the ages of 5 brothers is 13 years.
12, 16, O, 14, 8
Answers
Answer:
O = 15
Step-by-step explanation:
.mean ' is the average
(12 + 16 + O + 14 + 8) / 5 = 13
50 + O = 65
O = 15
For problems 11-14, identify the property shown. 11. 16×p=16.
Answers
Answer:
Step-by-step explanation:
11. identity property
12. associative property
13. commutative property
14. zero property
Which of the equations below is a line parallel to the line y = 5x - 2?
Answers
Answer:
An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.
Step-by-step explanation:
Lines a, b, c, and d Intersect as shown.
124
95
42°
53
39°
95°
What is x ?
Answers
Answer:
95 is the answer I took the test
If
a
1
=
8
a
1
=8 and
a
n
=
5
a
n
−
1
+
5
a
n
=5a
n−1
+5 then find the value of
a
5
a
5
.
Answers
Answer:
55a=
step-by-step explanation:
Answer:
-3125
Step-by-step explanation:
Got it right on delta
Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.
1. Her grandmother gave her $25 in a birthday card.
2. She earned $14 dollars babysitting.
3. She spent $10 on a ticket to the concert.
4. She donated $3 to a local charity.
5. She got $2 interest on money that was in her savings account.
Answers
The signed numbers that represent a change in money from her perspective is:
+$25
+$14
-$10
-$3
+$2
What are the signs to put in front of the amounts?When a person receives money, earns interst or his paid wages, the amount of money the person has increases. Thus, the sign to be used is the addition sign(+).
When a person pays for an item, donates to charity or loses money, the amount of money the person has reduces. Thus, the sign to be used is the subtraction sign (-).
To learn more about addition, please check: https://brainly.com/question/349488
In a lottery, the top cash prize was $657 million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 43.
A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls (1 through 53) and matching the number on the gold ball (1 through 43). What is the probability of winning the minimum award?
Answers
Answer:
1 chance in 123,396,455
Step-by-step explanation:
Number of permutations of 5 out of the 53 = 53*52*51*50*49 = 344362200
Number of permutations of 4 out of these 5 correct = 120
So number permuations for first 53 = 344362200/ 120 = 2869685
So for minimum prize there are 2869685 * 43 = 123396455 perms.
What's the median for 0 2 4 6 8 10
Answers
Answer:
5 would be the midian
Step-by-step explanation:
You would need to add 0+2+4+6+8+10
Then count how many numbers there are (6)
Then put it in a fraction
30/6
Then divide and then you get 5
Answer:
21,67
Step-by-step explanation:
0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67
your checking account balance as ameasure of money you have in that account which type of scale nominal,ordinal?
Answers
Answer:
Ratio
Step-by-step explanation:
1. Your checking account number as a name for your account. Nominal (renaming)
2. Your checking account balance as a measure of the amount of money you have in that account. Ratio
3. Your checking account balance as a measure of your wealth. Interval
4. The number you get from a machine (32, 33,...) as a measure of the time you arrived in line. Ordinal
5. The order in which you were eliminated in a spelling bee as a measure of your spelling ability. Interval
6. Your score on the first statistics test as a measure of your knowledge of statistics. Ratio
7. Your score on an individual intelligence test as a measure of your intelligence. Nominal
8. The distance around your forehead measured with a tape measure as a measure of your intelligence. Interval
9. A response to the statement "Abortion is a woman's right" where Strongly Disagree = 1, Disagree = 2, No Opinion = 3, Agree = 4, and Strongly Agree = 5, as a measure of attitude toward abortion. Ordinal
hope it helps:)
[tex] \displaystyle\red{ \sf\lim_{x \to {0}^{ + } }\frac{1}{ {sin}^{2}x } \int _{ \frac{x}{2} }^{x} {sin}^{ - 1} t \: dt}[/tex]
Answers
Use L'Hopital's rule twice:
[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \lim_{x\to0^+} \frac1{\sin^2(x)} \left(\int_0^x \sin^{-1}(t) \, dt - \int_0^{\frac x2} \sin^{-1}(t) \, dt\right) \\\\ = \lim_{x\to0^+} \frac{\sin^{-1}(x) - \frac12 \sin^{-1}\left(\frac x2\right)}{2\sin(x)\cos(x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{2\sin^{-1}(x) - \sin^{-1}\left(\frac x2\right)}{2\sin(2x)} \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{2\sqrt{1-\frac{x^2}4}}}{4\cos(2x)} ~~~~~~~~~~ (LHR) \\\\ = \lim_{x\to0^+} \frac{\frac2{\sqrt{1-x^2}} - \frac1{\sqrt{4-x^2}}}{4\cos(2x)}[/tex]
The remaining limand is continuous at x = 0, and the limit is
[tex]\displaystyle \lim_{x\to0^+} \frac1{\sin^2(x)} \int_{\frac x2}^x \sin^{-1}(t) \, dt = \frac{2-\frac12}4 = \boxed{\frac38}[/tex]
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex] \qquad \sf \dashrightarrow \:y = a \sin(bx) + k[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
In analysis of variance, then the term factor refers to_______
a) a dependent variable
b) a treatment total
c) an independent variable (or quasi-independent) variable
d) a treatment mean
Answers
What is the 6th term in this sequence? 1, 3, 9, 27, . . .
Answers
Answer:
a₆ = 243
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3
this indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = 3 , then
a₆ = 1 × [tex]3^{5}[/tex] = 243
243
Solution:We have a geometric sequence here, meaning that we use multiplication/division in order to get to the next term.In this case, we multiply each term by 3.1 times 3 is 3, 3 times 3 is 9, 9 times 3 is 27...In order to find the sixth term, we should take the fifth term and multiply it by 3.In order to find the fifth term, we need to take the fourth term and multiply it by 3.Multiply:81So the fifth term of this sequence is 81.Now, multiply 81 times 3:243Therefore, the sixth term in this sequence is equal to 243.Hope it helps.
Do comment if you have any query.
Find the measure of each angle in the isosceles trapezoid.
Answers
Answer:
J=118
L=62
M=62
Step-by-step explanation:
In an isoseles trapezoid, the top angles are congruent to each other and the bottom angles are congruent to each other. Opposite angles are supplementary, and all angles together add up to 360.
Solve the linear equations below by using:
2x + y = -3
3x - 2y = -8
a. Addition
b. Substitution
c. Graphing
Answers
X=2
4x+2y=-6
+(3x-2y=-8
f(X)= _3 x²_7x_9
f(_5) +f(2)=
Answers
Answer:
Step-by-step explanation:
[tex]-3x^2-7x-9=F(x)[/tex]
[tex]F(-5)=-75+40-9=-49[/tex]
[tex]F(2)=-12-14-9=-35[/tex]
[tex]f(-5)+f(2)=-49-35=-84[/tex]
WHOEVER ANSWERS CORRECT AND FIRST WILL GET BRAINLIEST! How long does it take an elevator to go from the ground floor to the observation deck at a height of 869 feet?
Answers
so for a height of 869 feet the time will be 21.725s
[tex]1s = 40ft \\ x = 869ft \\ x= \frac{869}{40} \\ x = 21.725ft[/tex]
A garden measures 10 ft by 10 ft.
What is the area of the garden in square inches?
Answers
Answer:
1200 sq. in.
Step-by-step explanation:
(10x10)x12=100x12=1200
which expression is equivalent to squareroot 36/25
Answers
The correct answer would be: 6/5
A case of soda has 12 cans. Each can holds 360 milliliters of soda. What is the total
number of liters of soda in the case?
Answers
Answer:
4.32 Liters
Step-by-step explanation:
12*360 mL= 4320 mL
mL to L= mL/1000
4320/1000= 4.32
A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 12 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 6 ft less than the length of the ladder? C The top of the ladder is ___ ft up the side of the building?
Answers
Answer:
The answer for this question is 2 ft
Step-by-step explanation:
12ft÷6ft=2
*50 POINTS* Pls HELP. ANSWER THE QUESTION IN THE PIC!
Answers
Answer:
D
Step-by-step explanation:
Here's why I think it's D.
y = x + 44 is the equation the car wash owner uses
x represents the number of days
y represents the number of cars (washed)
so if we plug in one of the given numbers (from the chart)
example:
Day 2 Numbers of Cars Washed 44
2 will represent the "number of days" also known as x
44 will represent the "number of cars" also known as y
so if we plug in those values to the equation the car wash owner uses
y = x + 44, it doesn't match
__________________________________
(44) = 2 + (44)
44 [tex]\neq[/tex] 46
Therefore, I believe the answer is D
Answer:
D
Step-by-step explanation:
It is not a good fit for the dataThere should equal number of points below and above the x-axis in the residual plotThe given equation : y = x + 44 does not match the given datahow do i multiply 30 by -20
Answers
Multiplication of a positive number and negative number
⇒ is like any other multiplication
30 * -20 = 30 * ((-1) * 20) = 30 * -1 * 20 = (-1) * 600 = -600
Hope that helped!
