Answers
Answer:
Option A
Step-by-step explanation:
[tex]\frac{5-i}{4+3i} *\frac{4-3i}{4-3i} =\frac{20-15i-4i+3i^{2} }{16-9i^{2} }=\frac{20-19i+3(-1)}{16-9(-1)} =\frac{17-19i}{25}=\frac{17}{25}- \frac{19}{25} i[/tex]
Related Questions
1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that a household chosen at random has an income greater than $100,000. b. Find the probability that a group of 5 households, chosen at random, have an average income greater than $100,000. c. Find the probability that a group of 10 households, chosen at random, have an average income greater than $100,000.
Answers
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
[tex]z=\frac{100000-72641}{30000}=0.91[/tex]
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
[tex]z=\frac{100000-72641}{30000/\sqrt{5} }=2.04[/tex]
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
[tex]z=\frac{100000-72641}{30000/\sqrt{10} }=2.88[/tex]
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
y = 1/6x + 8 Identify the slope?
Answers
Answer:
The slope is 1/6
Step-by-step explanation:
The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.
From this, we know that 1/6 is the slope because it is plugged in for m.
Hope this helps! :)
Answer:
The slope is 1/6
Explanation:
The slope is always the coefficient of X
Help me please please
Answers
Answer:
2.94
Step-by-step explanation:
the clue is in the question, just times the numbers together
Which expression is equivalent to 24 - (-6)?
Choose 1 answer:
--6-24
B
24 + (-6)
24 + 6
6 - 24
Answers
Two negatives would equal a positive
Andrew took a math test with 40 questions if he scored an 85% how many questions did you get a correct
Answers
Answer:
34
Step-by-step explanation:
Answer:
34 questions
Step-by-step explanation:
c is the number of correct answers
if this is wrong just tell me and I'll redo it
Hope this helps
List the first 5 multiples of 15. *
0, 1, 3, 5, 15
5, 10, 15, 20, 25
10, 15, 30, 45, 60
15, 30, 45, 60, 75
Answers
Answer:
15, 30, 45, 60, and 75
Step-by-step explanation:
15x1
15x2
15x3
15x4
15x5
I hope this helps you
This month nathon used 3 gallons of milk on his ceral each time he eats ceral he uses 1 /12 gallon of milk how many bowls of creal did he eat this month?
Answers
Answer:
36 bowls of cereal.
Step-by-step explanation:
just multiply 12 by 3
Answer:
WHY BRO EAT SO MUCH CEREAL IM DEAAAAAADDD
Step-by-step explanation:
nkjenkjfaekjvbsajkbvjks kjan
Find the value of c so that the polynomial p is divisible by (x+2)
Answers
Answer:
The value of c is 8.
Step-by-step explanation:
When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :
[tex]p(x) = 4 {x}^{3} + c {x}^{2} + x + 2[/tex]
[tex]p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2[/tex]
[tex]4( - 8) + 4c - 2 + 2 = 0[/tex]
[tex] - 32 + 4c = 0[/tex]
[tex]4c = 32[/tex]
[tex]c = 32 \div 4[/tex]
[tex]c = 8[/tex]
Joseph loves the Tennessee Titans, so his mother decides to buy
him a Titans cake for his birthday. If the cake cost $ 35.00
before taxes and $ 37.10 after taxes, please and answer
the following questions:
$ 35
1. How much will Joseph's mom pay in taxes?
2. By setting up a percent proportion, determine the percent tax rate.
(The "of" is the price of the cake before taxes and the "is" is the amount of taxes.)
is
of
100
Answers
Answer:
Step-by-step explanation:
question one: his mom will pay $2.1 in taxes
thats all i can answer
Susan bought 12 ounces of candy. How many grams did she buy?
Answers
Susan bought 340.194 grams of candies
Answer:
It is 340.194
Step-by-step explanation:
Hope this helped have an amazing day!
How do you write a graph that passes through the point (5, -1) and has a slope of 2 in Slope Intercept Form?
Answers
y = 2x + b
Plug in the point
-1 = 2(5) + b
-1 = 10 + b, b = -11
Answer: y = 2x - 11
Answer:
y=2x-11
Step-by-step explanation:
-1=2(5)+b
-1=10+b
-11=b
What is the Constant of proportionality between 3 and 18.85
Answers
Answer:2.25
Step-by-step explanation:it just is
PLZ HELP ME ILL GIVE BRAINLIEST, ITS ON THIS LINK https://brainly.com/question/19931314
Answers
Answer:
hm okay
Step-by-step explanation:
In which equation is the decimal point in the correct place in the quotient? Select all that are correct. A. 25.662 ÷ 4.7 = 54.6 B. 12.48 ÷ 6.4 = 1.95 C. 121.35 ÷ 2.05 = 59.195121 D. 55.204 ÷ 88.8 = 0.6216666 E. 0.95 ÷ 0.05 = 0.19
Answers
Answer:
B
Step-by-step explanation:
Question 10 of 10
Which would not be a step in solving 5x + 15 + 2x = 24 + 4X?
A. Collect variable terms on one side.
OB. Isolate the variable.
C. Use the distributive property.
Ο Ο
D. Collect like terms.
SUBMIT
Answers
Answer:
first you correct like terns
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.
e) After one hour, how far apart will they be?
Answers
Answer:
17.6 miles
Step-by-step explanation:
speed = distance/time
distance = speed * time
We multiply the speed of each one by the time, 1 hour, to find the distance each one walked in 1 hour.
Kiran: 3 mph * 1 h = 3 miles
Clare: 3.4 mph * 1 h = 3.4 miles
The total distance they walked is 3 miles + 3.4 miles = 6.4 miles.
After 1 hour, they are 6.4 miles closer than they were at the beginning of the walk.
24 miles - 6.4 miles = 17.6 miles
Answer: 17.6 miles
Helpppppppppppppppppppppppppppppppppppppp ASAP
Answers
Answer:
is it not the plus sign? (+)
Step-by-step explanation:
If y = 14 when x = 5,
find x when y = 28.
Answers
Answer:
10
Step-by-step explanation:
if its originally y=14 and x=5, if u switch y to 28 it would be 2x as much as 14 so u would multiply 5x2 aswell. hope i helped!!
Jill sold half of her comic books and then bought sixteen more. she now has 36. how many did she begin with?
Answers
Step-by-step explanation:
thats the ans okay......
The elements least likely to form bonds are found in which group? 15, 16, 17, 18
Answers
Answer:
group 18
Step-by-step explanation:
Answer:
Answer. 18
Step-by-step explanation:
took test
have a good holiday guys
Answers
Answer:
Well thank you so much you too
Step-by-step explanation:
Answer:
u too homie!
Step-by-step explanation:
i want free points
Mason loves collecting sea glass from the beach. He recorded the weight of each jar full of sea glass. If he decided to distribute the sea glass equally among the jars, how much would each jar weigh?
Answers
Answer:13 1/2
Step-by-step explanation:
The solution of -2(x + 1) = 2(x – 1)
Answers
Answer:
Step-by-step explanation:
lets eliminate the parenthesis,
-2x-2=2x-2
-4x=0
x=0
Find the sum. 54.703 + 298.1
Answers
The probability of waiting 2 minutes or longer for checkout at a particular supermarket counter is 0.3. On a given day, a man and his wife decide to shop individually at the market, each checking out at different counters. They both reach the counters at the same time. What is the probability that one or the other or both will wait 2 minutes or longer?
Answers
Answer:
The probability answer is 69/100
Step-by-step explanation:
The probability of waiting 2 minutes or longer = 0.3= (3/10)
The probability of not waiting longer = 1 - (3/10) = (7/10)
For the man,
P(waiting 2 mins or longer) = 3/10
For the woman,
P(waiting 2 mins or longer) = 3/10
Therefore,
The probability that one or the other or both will wait 2 minutes or longer
= P(man waits 2 mins or longer) or P(woman waits 2 mins or longer) or P(both waits 2 mins or longer)
= (3/10) or (3/10) or ( (3/10) and (3/10) )
= (3/10) + (3/10) + ( (3/10) X (3/10) )
= (6/10) + (9/100)
= (69/100)
Find the value of c that makes the trinomial a perfect square trinomial.
m^2-14m+c
Answers
Answer:
49
Step-by-step explanation:
m^2-14m+c
Take the -14
Divide by 2
-14/2 = -7
Square it
(-7)^2 = 49
Add it to each side
m^2-14m+49
The value of c is 49
Find the value of x if DE is a midsegment.
B
D
26
х
A
E
C
Answers
Answer:
my names emily too!!!!
Step-by-step explanation:
Jada has 12 library books checked out and Han has 1/4 less than that. How many books does
Han have checked out?
Answers
12-3=9
han has 9 books checked out
Complete the proof of the identity by choosing the Rule that justifies each step.
(1- cos x) so
secx sin tan
To see a detailed description of a Rule, select the More Information Button to the right of the Rule,
Answers
( 1 - cos²x ) secx
=> sin²x . secx
Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .
=> sin²x [ 1/cosx ]
Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .
=> sinx [ sinx/cosx ]
Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].
=> sinx tanx
Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .
The proof of the identity that justifies that ( 1 - cos²x ) secx equals sinx(tanx) has been described below with statements and rules.
Statement 1; ( 1 - cos²x ) secx
This is given
Statement 2; sin²x · secx
Rule 1; From trigonometric identities, we know that;
sin²x + cos²x = 1,
Thus; cos²x = 1 - sin²x
Thus; ( 1 - cos²x ) secx = sin²x · secx
Statement 3; sin²x (1/cosx)
Rule 2; The rule here according to trigionometric identities is that; secx = 1/cosx. Thus; secx = 1/cosx .
Statement 4; sinx (sinx/cosx )
Rule 3; The rule here is that sin²x can be expressed as (sinx * sinx)
Thus, we have; sinx . sinx (1/cosx) = sinx (sinx/cosx ).
Statement 5; sinx(tanx)
Rule 4; The rule here is that; sinx/cosx = tanx.
Thus; sinx (sinx/cosx ) gives us sinx(tanx)
Read more at; https://brainly.com/question/24836845
PLEASE HELP it’s MULTIPLE CHOICE i’ll mark BRAINLIEST AND I ADDED EXTRA POINTS!!
Answers
Answer:
Easy b
Step-by-step explanation:
Because
slope is 1/3
y-intercept is -1