The a + bi form of the given expression is 34-36i
What is complex numbers?A complex number is a number of the form a + bi, where a and b are real numbers.
Given is a complex numbers, (-3+2i)(-6 - 8i)
(-3+2i)(-6 - 8i) = 18-24i-12i+16
= 34-36i
Hence, The a + bi form of the given expression is 34-36i
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Construct the indicated confidence interval for the difference between population proportions p1 - p2. Assume that the samples are independent and that they have been randomly selected. A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions.
Answer:
-0.0423≤p≤0.0977
Step-by-step explanation:
The margin error formula is expressed as;
ME = p±√p(1-p)/n
n is the sample size
For the first population proportion p1:
p1 = 193/558 = 0.3469
n1 = 558
p2 = 196/614 = 0.3192
n2 = 614
Taking the difference in the confidence of the proportion
p = p1-p2
p = 0.3469-0.3192
p= 0.0277
Get the margin of error
Margin of error = z*√p(1-p)/n
Margin of error = 2.5758*√0.35(1-0.35)/558 + 2.5758*√0.32(1-0.32)/614
Margin of error = 2.5758*√0.35(0.65)/558 + 2.5758*√0.32(0.68)/614
Margin of error = 2.5758*(0.02019)+2.5758(0.0188)
Margin of error = 0.07
Get the confidence interval
CI = p±ME
CI = (p-ME, p+ME)
CI = (0.0277-0.07, 0.277+0.07)
CI = (-0.0423, 0.0977)
Hence a 99% confidence interval for the difference between the two population proportions is -0.0423≤p≤0.0977
13 PTS!! The main idea of this story is that _____.
1. George Washington was general
2. the men were lifting logs
3. George Washington was kind
4. kindness knows no rank
Answer:
George Washington was general
Step-by-step explanation:
i dont know what movie you are talkibg about but this seems more accurate to what he was
Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?
Yes
No it is much high
No it is much low
Angela purchased 12 pairs of socks for $54.
What is the unit rate?
Answer:
$4.5 per pair of socks
Step-by-step explanation:
How many cups are in 6.5 pints?
Answer:
13
Step-by-step explanation:
Answer:
13 cups
Step-by-step explanation:
2 cups = 1 pint
6.5 x 2 = 13
25% of the tickets sold at an amusement parks wear discount tickets in the park so it's 96 tickets and all how many discount tickets did it sell
1.What is five million, five hundred and five thousand and fifty in numerals
Round 259.98991 to the nearest hundredths
Answer:
259.99
Step-by-step explanation:
You look at the hundreths place and see if the number behind it is bigger than 5, and if it is then you up it by one, and if it's 4 and below then you round it to zero. In this case you up it by one and you get 269.99.
I hope this helps!!!!
Answer:
hey
Step-by-step explanation:
259.99................................................................
wow
You estimate that your school is about 60 ft tall. Your school is actually 67 ft tall. Find the percent error in your estimation.
Answer:
%10.44
Step-by-step explanation:
1) 67-60=7
2)7÷67=0.1044776
Round it and change it to percent
=%10.44
One year, the population of a city was 333,000. Several years later it was
293,040. Find the percent decrease.
Answer:12%
Step-by-step explanation:
(333000-293040)×100/333000
What is the value of x in the diagram above
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange
Answer:
$0.44 each
Step-by-step explanation:
3.08/7 = 0.44
The required cost in dollars per orange is $0.44.
Given that,
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange is to be determined.
The ratio can be described as the proportion of the fraction of one amount towards others. e.g.- water in milk.
What is arithmetic?In mathematics, it deals with a number of functions according to the statements.
here,
Let the cost of 1 orange = $x
The grocery store sells a bag of 7 oranges for $3.08.
So for 1 orange,
x = 3.08 / 7
x = $ 0.44
Thus, the required cost in dollars per orange is $0.44.
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I need help with this
Answer:
D
Step-by-step explanation:
Andre mixes 5 scoops of powder with 8 cups of water.
create a double number line or a table that shows different amounts of powder and water that taste the same as Andre's mixture.
please help me with this one more.
Answer:
continue to multiply to extend the table to whatever length you need
Step-by-step explanation:
powder water
5 8
10 16
15 24
Help please an someone explain this to me i'm confused
Answer:
Jesus I can't help, I would take the educational guess if I was you
Step-by-step explanation:
The jersey cost $80. The sales tax is 6%. What is the total cost of the jersey?
Answer:
The price would be 84.8
The price of jersey will be $7.5
PLEASE I NEED HELP FAST ILL MARK BRAINLIST OR WHATEVER POINTS YOU WANT I JUDT NEED THE CORRECT ANSWER IF YOU DONT KNOW DONT ANSWER. ITS MUTIPLE CHOICE AND EXPLAIN IT PLEASE
Answer:
C
Step-by-step explanation:
The solution for two lines on a graph is the intersection point. Both lines intersect at (-1, -1). Thus, the answer you chose is correct.
Best of Luck!
What is the weight of a 32 kg child
Answer:
32000 grams
Step-by-step explanation:
The weight of a 32 kg child in pounds is 70.56 pounds.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The weight of baby = 32 kg
Now,
Since, 1 kg = 2.205 pounds
So, We convert the weight of baby from kg to pounds as;
1 kg = 2.205 pounds
32 kg = 32 x 2.205 pounds
= 70.56 pounds.
Thus, The weight of a 32 kg child in pounds is 70.56 pounds.
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Identify the ordered pair that names each point. That identify the quadrant in which it is located. 1-12
i cant see the entire screen, but just look at the letter, and say which point it is
The Data set shows the test scores for the mid-year exam for two different periods.
Period 1: 72, 75, 65, 80, 86, 60, 83
Period 3: 64, 93, 73, 57, 70, 59, 69 S
(10 Points)
What is the IQR for period 1?
answers:
I think it is 80
A car rental company charges a flat rate of $19.99 for an SUV in addition to $0.79 per mile driven. Nimer's family rents an SUV from this company and drives from St. Louis to Chicago and back. If the distance from St. Louis to Chicago is 297 miles, how much did Nimer's family's pay for the car rental?
Help this is my finals
Answer:
Nimer's family paid $489.25 for the car rental
Step-by-step explanation:
Nimer's family rents an SUV from a company that charges a flat rate of $19.99 plus $0.79 per mile driven.
They travel from St. Louis to Chicago and back. The distance between these cities is 297 miles, so they drive 2*297 = 594 miles.
The total charges include a flat fee of $19.99 and the cost of 594 miles:
$19.99 + $0.79 * 594 = $19.99 + $469.26 = $489.25
Nimer's family paid $489.25 for the car rental
A Texas teenager from Cedar Park holds the new world record for having the longest legs (female) and the longest teen legs. Her legs are 4 ft. and 5
inches long. How many inches long are her legs?
O 45 inches
O 53 inches
оо
48 inches
O 40 inches
Answer:
53 inches
Step-by-step explanation:
4 feet is 48 inches and you put 5 inches into that its 53 so its 53 inches.
HELP HELP HELP .............
Answer:
Sorry i don't know what's the actual answer, but you can use Desmos app for graphing, hope that helps
Answer:
there you go if you want mark brainlest if not its okay with me
Step-by-step explanation:
Order the numbers from least to greatest 3/7, 5/9, 43%
Answer:
The answer is 3/7, 43%, 5/9
Answer:
3/7.43%, 5/9
Step-by-step explanation:
3/7, 43/100,5/9
3/7, .43, 59
LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown.
•first card: -12
•Second card: 3
•Third card: -5
What is the sum of the values of LuAnn’s three cards?
please explain there are 9 thirds in in 3 ones
Well, there are 3 thirds in a whole (1) so if you have 3 wholes then you are basically doing 3*3 which is 9.
Answer:
Imagine 3 cookies each cut into 3 equal parts, how many parts would you have?
9
Step-by-step explanation:
:3 good luck!
· Amanda has $210 in her school lunch account. She spends $35 each week on school lunches. The
equation a = 210 - 35w represents the total amount in Amanda's school lunch account a for w
weeks of purchasing lunches.
Answer:
(See step-by-step)
Step-by-step explanation:
Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.
The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.
The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).
Answer:
Blank 1: 6
Blank 2: 6
Blank 3: 0
Blank 4: 210
Blank 5: 210
Step-by-step explanation:
reasons better than the other
will give brainliest
A boat traveled 225 miles downstream and back. The trip downstream took 9 hours. The trip
back took 45 hours. Find the speed of the boat in still water and the speed of the current.
Answer:
30 hrs
Step-by-step explanation:
Downstream. In water, the direction along the stream is called downstream.
Upstream. In water, the direction against the stream is called upstream. Let the speed of a boat in still water be u km/hr and the speed of the stream be v km/hr, then. Speed downstream = (u + v) km/hr. Speed upstream = (u - v) km/hr
Find the domain of fg f(x)=x+2 g(x)=1/x+2
A. All real numbers
B. All real numbers, expect 2
C. All real numbers, except-2
D. (-2,0) U [2,-2)
Answer: A. All real numbers
Step-by-step explanation:
Find fg;
f(x) * g(x) = (x + 2) * ( 1 / x + 2)
= ( x + 2) / (x + 2)
= 1
In giving 1 as the product, the domain of fg is any real number.
There are 28 students in Brad’s class. Their teacher is giving each of them 16 pieces of notebook paper, to make a journal. How many pieces of paper will they need?
Answer:
448
Step-by-step explanation:
This is Multipilcation, 26 x 16 = 448
Answer: 448
Step-by-step explanation: This is Multiplication, 26 x 16 = 448
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