Using the percentage principle, the estimated and actual sale price of the Home are $275, 000 and $307,000 respectively.
Commission on sale = 3%Estimated commison = $8250
Let Estimated sale price = P
3% × P = 8250
0.03p = 8250
p = 8250 / 3
p = $275000
Actual commission earned = $9210
Let Actual sale price = P
3% × P = 9210
0.03p = 9210
p = 9210 / 3
p = $307,000
Therefore, the estimated and actual sale price are $275,000 and $307,000 respectively.
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A sports marketing company interviewed 250 Supersport United fans and has found that the average fan spends R101 on non-ticket purchases at the stadium when he/she attends a home match. This includes money spent on food, drinks and merchandise. Assume that the standard deviation is R39.
Find the lower and upper limits for the average amount spent on non-ticket purchases per match by Supersport United fans. Use a confidence level of 90%. Round off your answers to 2 decimal places (4)
The 90% confidence interval is between R96.94 and R105.06
The confidence (C) = 90% = 0.9, Mean (μ) = 101, standard deviation (σ) = 39, sample size (n) = 250
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 corresponds with the z score of 0.45 (0.5 - 0.05) which is equal to 1.645
The margin of error (E) is given by:
[tex]E=Z_\frac{\alpha }{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.645 *\frac{39}{\sqrt{250} } =4.06[/tex]
The confidence interval = μ ± E = 101 ± 4.06 = (96.94, 105.06)
Therefore the 90% confidence interval is between R96.94 and R105.06
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Prove the polynomial identity.
(4x^2−2)^2−(4x^2)^2=4(1−2x)(1+2x)
Drag and drop the lines of the proof in the correct order to complete the proof.
Answer:
(4x^2 - 2)^2 - (4x^2)^2 = 4(1 - 2x)(1 + 2x)
16x^4 - 16x^2 + 4 - 16x^4 = 4(1 - 2x)(1 + 2x)
4 - 16x^2 = 4(1 - 2x)(1 + 2x)
4(1 - 4x^2) = 4(1 - 2x)(1 + 2x)
4(1 - 2x^2)(1 + 2x) = 4(1 - 2x)(1 + 2x)
Multiply 2 digit numbers with area models. 26x74
Answer:
26 x 74 is 1924
Step-by-step explanation:
Is just lining the numbers up.
The sum of two consecutive odd numbers Is 364. Find the larger number.
Answer:
183
Step-by-step explanation:
If they are two consecutive odd numbers, than these two numbers will be close to half of the sum (364).
364/2=182
Now Find the two odd numbers in between 182, which are 181 and 183.
I had this type of question a few times recently, and this method worked every time :).
Bonus information:
For two consecutive odd/even numbers, find the half of the sum.
For three consecutive odd/even numbers, start off by finding the third of the sum. And so on...
Hope this helped! :D
The perimeter of the rectangle below is 50cm.
find the value x
Answer: 13
Step-by-step explanation:
12 x 2 = 24 (because of the two sides)
50 - 24 = 26 (to find the remaining amount)
26 / 2 = 13 (to equally distribute the remaining amount.)
HELP ME PLEASE!! NO FAKE ANSWERS PLEASE!! :D ILL GIVE BRAINILEST FOR THE CORRECT ANSWER!!!!
Answer:
x=20
Step-by-step explanation:
It all equals 360º and there are two of each angle. So, we can add 5x+5x+(3x+20)+(3x+20)=360º. Subtracted 40 and simplify. So 16x=320.So divide by 16 and you get that x=20.
Write in expanded form: -4^5 =
Answer:
(
Step-by-step explanation:
[tex]( - {4}^{5} ) + {20x}^{2} [/tex]
Answer:
[tex]{ \tt{ - {4}^{5} }} \\ = { \tt{ - (4 \times 4 \times 4 \times 4 \times 4)}} \\ \\ = - { \tt{(16 \times 16 \times 4)}} \\ \\ = - { \rm{1024}}[/tex]
One gallon of water weighs approximately 8 1/3lbs. How much does 25 3/4 gallons of water weigh?
Will get 70 points if you help me
Answer:
The x-intercept of Line A is (3,0) and the x-intercept of Line B is (4,0).
Therefore the x-intercept of Line A is -------------- the x-intercept of Line B
Step-by-step explanation:
Evaluate the expression
answer: -24
tbh I’m not sure but thats what I got!
:D
Write an equation for the description
Tanmayi wants to raise $165 for a school fundraiser. She has raised $130 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Answer:
She needs $55 more dollars
Step-by-step explanation:
Answer:
[tex]m + 130 = 165 \\ m = 165 - 130 = 35 \: dollars[/tex]
Fin de range of the data 1 0 5 6 7 9 1 6
Set the mean and standard deviation to 0 and 5 , respectively. Approximately 5% of the area under the normal curve lies to the right of 8.2 . Consider what would happen if you were to change the mean to 50 and keep the standard deviation at 5 . Can you predict the new value for which approximately 5% of the area under the normal curve lies to the right of this value? Enter your answer accurate to one decimal place.
Using z-scores and the normal distribution, it is found that the new value would be of 58.2.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which is the area to the left of Z under the normal curve.The area to the right of Z is 1 subtracted by the p-value of Z.In this problem:
Mean of 50 and standard deviation of 5, thus [tex]\mu = 50, \sigma = 5[/tex].Area to the right of 0.05, thus Z with a p-value of 1 - 0.05 = 0.95, thus [tex]Z = 1.645[/tex].We have to find the value of X, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 50}{5}[/tex]
[tex]X - 50 = 1.645(5)[/tex]
[tex]X = 58.2[/tex]
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Brianna wants to tie a red ribbon around Monkeyshines. The blue ribbon is yu
inch longer than the red ribbon. The yellow ribbon is 4 4 inches longer than the
blue ribbon. How long is the yellow ribbon? Color the ribbons.
inches long
18/2 inches long
17 74 inches long
Answer:
22 3/4 inches.
Step-by-step explanation:
First what I like to do is find least common denominator.
Since 2 of the ribbons are measured in /4's, and the other ribbon is measured by half ( /2). 4 will be your new denominator making the 18 1/2 in. long ribbon 18 2/4 inches.
Now, the Blue ribbon is 3/4 greater than the Red ribbon, making it the 18 2/4 inch ribbon.
The Yellow ribbon is 4 3/4 inches longer than the Blue ribbon which means add 4 3/4's to 18 2/4, and you get = 22 3/4 in. for the yellow ribbon.
Hopes this Help!
Which expressions are equivalent to?
Answer:
-6(b+2) +8
= -6b -12 +8
= -6b -4
Step-by-step explanation:
Complete the multiplication problem to find the answer
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Ana starts eating lunch at 12:15 pm she finishes eating lunch 49 mins later what lock shows the time that Ana finishes eating lunch
Answer:
What kind of problem? Multiplication? Division? What?
Step-by-step explanation:
Please answer the following question:
Answer:
l
Step-by-step explanation:
Express the number in terms of i
Answer:
[tex]\sqrt[]{9} i[/tex]
Step-by-step explanation:
[tex]\sqrt[]{ab}=\sqrt[]{a} *\sqrt[]{b} \\Therefore, \sqrt[]{-9} =\sqrt[]{9}*\sqrt[]{-1} \\\\\sqrt[]{-1}=i\\\\So, \sqrt[]{-9}= \sqrt[]{9}i[/tex]
The scale of the drawing was 5 inches = 4 yards. What is the drawing's scale factor? Simplify your answer and write it as a fraction
Answer:
138889/144
Step-by-step explanation:
What is the value of x? 3/4x−4−5/8x=−3
Answer:
here.
3/4x−4−5/8x=−3
or, 3/4x−5/8x=−3+4
or, 3/4x−5/8x=1
or, 3*2/2*(4x)-5/8x=1
or,6/8x-5/8x=1
or,(6-5)/8x=1
or,1/8x=1
or,1=8x
or,x=1/8
a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?
If 2.5 kg of potatoes cost $8.25 how much will u pay for 7 kg
Answer:
$23.10
Step-by-step explanation:
To get how much money you will have to pay for 7kg, you need to find out how much you have to pay for 1 kg. You will divided y divided by x = y.
8.25 (y) divided by 2.5 (x) = $3.30
You will pay $3.30 for 1 kg
So $3.30 x 7 = 23.10
You will pay $23.10 for 7 kg of potatoes.
** I hope this helps
PLEASE HELP WILL MARK BRAINIEST!! TY!!
[tex]y = -3x + 27[/tex]
Step-by-step explanation:
A parallel line will have the same slope as the given line so we can write the slope-intercept form of the equation as
[tex]y = -3x + b[/tex]
Since the other line goes through the point (9, 0), we can use this to solve for b:
[tex]0 = -3(9) + b \Rightarrow b = 27[/tex]
Therefore, the equation of the parallel line that goes through (9, 0) is
[tex]y = -3x + 27[/tex]
A gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least twice the area used for flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all values of x and y that satisfy these requirements.
Help me please!!!!!✨✨✨✨✨✨✨✨✨✨
Find a primitive Pythagorean triplet (a, b, c) where c=a+50.
Answer:
Pythagorean triple (PT) can be defined as a set of three positive whole numbers that perfectly satisfy the Pythagorean theorem: a2 + b2 = c2.
theorem: a2 + b2 = c2.
This set of numbers are usually the three side lengths of a right triangle. Pythagorean triples are represented as: (a, b, c), where, a = one leg; b = another leg; and c = hypotenuse.
There are two types of Pythagorean triples:
Primitive Pythagorean triples
Non-primitive Pythagorean triples
Primitive Pythagorean triples
A primitive Pythagorean triple is a reduced set of the positive values of a, b, and c with a common factor other than 1. This type of triple is always composed of one even number and two odd numbers.
For example, (3, 4, 5) and (5, 12, 13) are examples of primitive Pythagorean triples because each set has a common factor of 1 and also satisfies the
Step-by-step explanation:
Pythagorean theorem: a2 + b2 = c2.
(3, 4, 5) → GCF =1
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25
(5, 12, 13) → GCF = 1
a2 + b2 = c2
52 + 122 = 132
25 + 144 = 169
169 = 169.
hope you all like this answer.
mark this answer as brainlist.
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Thank you ❤️.
Overnight the temperature decreased by 17 1/2. If the temperature began at -3.6 what is the current temperature?
Answer:
The answer is -21.1 degrees
Step-by-step explanation:
You get this by simply subtracting 17.5 from a negative 3.6. This will look like -3.6-17.5= x. Doing that gets you a negative 21.1. I hope this helps!
Which of these u is a example
Answer:
the correct answer is C there ya go
Answer:
C. Typing 28 words in 2/3 of a min
Step-by-step explanation:
42 words : 60 secs = ? words : ? secs
42:60 16:40 / This could not be an answer because 1/3 of 42 is 14. And 16 exceeds 14. So this couldn't be a possible answer choice.
42:60 16:80 / This could not be an answer because 16 is less than 42 and the time given here is over 60 secs.
42:60 28:40 / This would be an answer because 1/3 of 42 is 14. SO if we multiplied 14 by 2 we would be 28.
42:60 28:80 / This could not be an answer because 28 is less than 42 and the time given here is over 60 secs.
SOMEONE HELP PLZ 20 POINTS
JUST NEED HELP IN THE LAST 4
Answer:
the last one is
four cubed plus 8 to the 4th power
4^3 + 8^4
4160
Step-by-step explanation: