Answer:
The mean, median, and standard deviation of the University of Oregon are $451.33, $467.5, and $113.61 respectively.
The mean, median, and standard deviation of the University of Washington are $396.67, $380, and $56.27 respectively.
Step-by-step explanation:
We are given that a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Oregon is: $295, $475, $345, $595, $538, $460.
A second sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Washington is: $495, $422, $370, $333, $370, $390.
Firstly, we will calculate the mean, median, and standard deviation for the data of the University of Oregon.
Arranging the data in ascending order we get;
X = $295, $345, $460, $475, $538, $595.
The mean of the above data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{\$295+ \$345+ \$460+\$475+ \$538+\$595}{6}[/tex]
= [tex]\frac{\$2708}{6}[/tex] = $451.33
So, the mean price of rent near the University of Oregon is $451.33.
For calculating the median, we first have to observe that the number of observations (n) in the data is even or odd.
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]
Here, the number of observations is even, i.e. n = 6.
So, Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]
= [tex]\frac{(\frac{6}{2} )^{th} \text{ obs. } + (\frac{6}{2}+1 )^{th} \text{ obs.}}{2}[/tex]
= [tex]\frac{(3 )^{rd} \text{ obs. } + (4 )^{th} \text{ obs.}}{2}[/tex]
= [tex]\frac{\$460 +\$475}{2}[/tex] = $467.5
Hence, the median price of rent for the University of Oregon is $467.5.
Now, the standard deviation is calculated by using the following formula;
Standard deviation, S.D. = [tex]\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }[/tex]
= [tex]\sqrt{\frac{ (\$295 - \$451.33)^{2} +(\$345 - \$451.33)^{2} +......+(\$595 - \$451.33)^{2} }{6-1} }[/tex]
= $113.61
So, the standard deviation for the University of Oregon is $113.61.
Now, we will calculate the mean, median, and standard deviation for the data of the University of Washington.
Arranging the data in ascending order we get;
X = $333, $370, $370, $390, $422, $495.
The mean of the above data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{\$333+ \$370+ \$370+\$390+ \$422+\$495}{6}[/tex]
= [tex]\frac{\$2380}{6}[/tex] = $396.67
So, the mean price of rent near the University of Washington is $396.67.
For calculating the median, we first have to observe that the number of observations (n) in the data is even or odd.
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]
Here, the number of observations is even, i.e. n = 6.
So, Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]
= [tex]\frac{(\frac{6}{2} )^{th} \text{ obs. } + (\frac{6}{2}+1 )^{th} \text{ obs.}}{2}[/tex]
= [tex]\frac{(3 )^{rd} \text{ obs. } + (4 )^{th} \text{ obs.}}{2}[/tex]
= [tex]\frac{\$370 +\$390}{2}[/tex] = $380
Hence, the median price of rent for the University of Washington is $380.
Now, the standard deviation is calculated by using the following formula;
Standard deviation, S.D. = [tex]\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }[/tex]
= [tex]\sqrt{\frac{ (\$333 - \$396.67)^{2} +(\$370 - \$396.67)^{2} +......+(\$495 - \$396.67)^{2} }{6-1} }[/tex]
= $56.27
So, the standard deviation for the University of Washington is $56.27.
Translate the sentence into an inequality. Eight times the sum of a number and 20 is greater than or equal to 25. Use the variable y for the unknown number.
Answer:
8x + 20 ≥ 25
Step-by-step explanation:
Well 8 times the sum of a number "x" plus 20,
So we can write the following,
8x + 20
and that should be greater than or equal to 25
8x + 20 ≥ 25
Thus,
as an inequality it is 8x + 20 ≥ 25.
Hope this helps :)
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain
Answer:
They are both correct.
Step-by-step explanation:
As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.
Hope this helped!
We will see that both Jared and Nicole are correct.
Working with systems of equations:
So we know that Jared found an equation:
y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.
We also know that Nicole found the equation:
x = y - 10
And she replaced x by y - 10 on the other equation, she is also correct.
So why both of them are correct?Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone's score on each hole?
Complete Question :
In golf, a score below zero is “under par” and a score above zero is “over par.”
Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?
A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.
B. He scored 3 under par on each of the first 14 holes and 2 under par on each of the next four holes.
C. He scored 3 under par on each of the first 14 holes and 4 over par on each of the next four holes.
D. He scored 3 under par on each of the first 14 holes and 4 under par on each of the next four holes.
Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.
Step-by-step explanation:
Given that :
a score below zero is “under par” and a score above zero is “over par.”
Same score on each of the first 14 holes
Total score on first 14 holes = - 42
Therefore, score on each hole = ( total score / number of holes)
= - 42/14 = - 3
Negative signifies that it is 'under par'
Score on each of the next four holes is also the same.
Therefore, total score on next four holes :
(final score - total score on first 14 holes)
(-34 - (-42))
(-34 + 42) = 8
Total score on next four holes = 8
Score on each hole = 8/4 = 2
Positive score means he scored over par
Answer:
a
Step-by-step explanation:
I did quiz
Wyatt solved the following equation:
x + 1/2 (6x − 4) = 6
it due today!!! I will give the first answer brainliest.
Answer:
x = 2
Step-by-step explanation:
x + 1/2 (6x - 4) = 6
Expand the brackets.
x + 3x - 2 = 6
Add like terms.
4x - 2 = 6
Add 2 on both sides.
4x = 6 + 2
4x = 8
Divide 4 into both sides.
x = 8/4
x = 2
Answer:
x=5/4
Step-by-step explanation:
please answer this.....
Answer:
Step-by-step explanation:
10)a) Let the number = x
4x + 8 = 16
Subtract 8 form both sides
4x + 8 - 8 = 16 - 8
4x = 8
Divide both sides by 4
4x/4 = 8/4
x = 2
The number is 2
b) Let the number = x
4x - 8 = 6
Add 8 to both sides
4x - 8 + 8 = 6 + 8
4x = 14
Divide both sides by 4
4x/4 = 14/4
x = 3.5
The number is 3.5
11) a) Increase in cost = 105 - 100 = $ 5
b) Percentage increase = [tex]\frac{5}{100}*100[/tex]
= 5%
12) Number of girls = 35
Number of girls wearing glasses = 15
Number of boys = 40
Number of boys wearing glasses = 10
a) Percentage of boys wearing glasses = [tex]\frac{10}{40}*100\\[/tex]
= 25%
b) Percentage of girls wearing glasses = [tex]\frac{15}{35}*100[/tex]
= 42.86%
c) Total children = 35 +40 = 75
Total children wearing glasses = 15 + 10 = 25
Percentage of children wearing glasses = [tex]\frac{25}{75}*100[/tex]
= 33.33%
Ella has twelve cards numbered I to 12. What is the probability she picks three even-numbered cards in a row, if the first two cards are not replaced?
Answer:
1/11Step-by-step explanation:
even #s between (or including) 1 and 12:
2, 4, 6, 8, 10, 12
there are 6
6/12 for the first one
5/11 for the second one (one even # less)
4/10 for the third one
To find the probability of picking three even numbers from 1 to 12 in a row three times:
multiply the probabilities together:
(6/12)*(5/11)*(4/10)=(24/120)*(5/11)=(12/60)*(5/11)=(1/5)*(5/11)=5/55=1/11
Solve the equation 2x + 10 = 30
a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
A: x2
B: x5
C: divide by 2
D: divide by 5
Answer:
x2
Step-by-step explanation:
In 5x, 5 is a constant and therefore if we double x we will double 5 too.
It takes 6 hours to reach London from Minneapolis. Amanda took a flight to London from Minneapolis and reached at 7:15 pm London time. At what time did she depart Minneapolis at London time?
i will mark as brainliest
please explain I will mark as brainliest
Answer:
1:15 pm
Step-by-step explanation:
It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so
7:15 - 6 = 1:15
It takes 20 minutes for 5people to paint 5 walls. How many minutes does it take 9 people to paint 9walls?
Answer:
20 minutes.
Step-by-step explanation:
Since it takes 5 people to paint 5 walls 20 minutes, that means that it would take 1 person 20 minutes to paint 1 wall. That also means that 2 people would take 20 minutes to paint 2 walls. So, it would take 9 people 20 minutes to paint 9 walls.
Hope this helps!
What is the height, x, in the triangle below? A. 2√5 B. 5 C. 5√2 D. 10
Answer:
D:10
Step-by-step explanation:
find hyp. first
sin 45=opp/hyp.
√2/2=10/hyp.
hyp.=20/√2 0r 10√2
Pythagorean theorem: a²+b²=c²
now find x²=(10√2)²-10²
x²=200-100
x²=100
x=√100=10
Please help me on this
Answer:
A =256 cm^2
Step-by-step explanation:
The perimeter of a square is 64 cm
P = 4s where s is the side length
64 = 4s
Divide by 4
64/4 = 4s/4
16 =s
The side length is 16 cm
The area of a square is
A = s^2
A = 16^2
A =256 cm^2
Answer:
16
Step-by-step explanation:
Perimeter=64
Since there are four sides, we divide 64 by 4
64/4=16
1 side = 4 cm
Area = l x w
4 x 4 = 16
Therefore your area of the square is 16
Hope this helps!
Subtract (3 + 2i) from (-9 - 8i)
Answer:
[tex]-12-10i[/tex] is the required answer.
Step-by-step explanation:
[tex]\left(-9-8i\right)-\left(3+2i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\\=\left(-9-3\right)+\left(-8-2\right)i\\\\=-12-10i[/tex]
Best Regards!
In the year of disposition how is the depreciation deduction calculated for real rental property that has been depreciated using the mid-month convention?
Answer:
Step-by-step explanation:
The deductible amount will be controlled constantly in which the asset is arranged.
There are currently 3000 in the state of Colorado their population is increasing at a rate of 2% per year how many years will it be before there are 6000 moose in the state of Colorado. Round your answer to the nearest year
Answer:
50 years
Step-by-step explanation:
the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.
brainliest pls
Please answer this......
Answer:
Step-by-step explanation:
45=5*3^2
75=5^2*3
1. LCM=product of the common and uncommon prime factors at the biggest power
LCM=3^2*5^2=9*25=225
2. HCF= product of the common prime factors at the lowest power
HCF=3*5=15
3. 10*x-3
4. 6^2-7^2=36-49=-13
5. I. K=4-1=3 drinks
II. Total=4+3=7 drinks
6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm
Answer:
Step-by-step explanation:
LCM of two numbers is the smallest number that is evenly divisible by the two numbers
1) 45 = 3 * 3 * 5 = 3² * 5
75 = 3 * 5 * 5 = 3 * 5²
LCM = 3² * 5² = 9 *25 = 225
LCM = 225
2) HCF of two numbers is the greatest number which divides each of them exactly.
HCF of 45 and 75 = 3*5 = 15
HCF = 15
3) 10x - 3
4) m² - n² = 6² - 7²
= 36 - 49
= -13
m² - n² = -13
When two numbers are in different sign, subtract and the result will have the sign of the bigger number.
5)a) Kate prepared (4-1) 3 drinks
b) Total volume of drinks = 4 + 3 = 7
In the diagram, ∠ADE ≅ ∠ABC. The ratios and are equal.
Answer:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
Step-by-step explanation:
According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same
. (as in the diagram)
So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
With the help of a diagram, we can better understand which has been attached.
The ratios AD : DB and AE : EC are equal.
Which statement is true regarding the graphed functions? A) f(4)=g(4) B) f(4)=g(-2) C) f(2)=g(-2) D) f(-2)=g(-2)
Answer:
Option (D)
Step-by-step explanation:
If the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are lying of the line.
Slope of the line represented by the function 'f' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Two points are lying on the line are (-2, 4) and (0, -2).
Slope of the line passing through these points 'm' = [tex]\frac{4+2}{-2-0}[/tex]
m = -3
Y-intercept of the line 'b' = -2 [From the graph]
Therefore, equation of the function will be,
f(x) = (-3)x - 2
f(x) = -3x - 2
Similarly, for other function represented by the line in red,
Slope of the line passing through (-6, 0) and (0, 6) = [tex]\frac{6-0}{0+6}[/tex]
m' = 1
Y-intercept of g(x) = 5 [From the graph]
Equation that represents the function g(x) = 1.x + 5
g(x) = x + 5
For g(x) = f(x)
-3x - 2 = x + 6
-3x - x = 2 + 6
-4x = 8
x = -2
Therefore, for x = -2 both the functions will have the value.
f(-2) = g(-2)
Option (D) will be the answer.
Why does the second part of the problem cos x turns into cos x^2 explain the problem.
Step-by-step explanation:
It's not cos x^2
[tex]\cos^2x\neq\cos x^2[/tex]
----------------------------------------------
[tex]\cos x-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos x\cos x}{\cos x}-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos^2-\sin^2x}{\cos x}[/tex]
It's the same as
[tex]3-\dfrac{2}{3}=\dfrac{3\cdot3}{3}-\dfrac{2}{3}=\dfrac{3^2-2}{3}[/tex]
the leg of a right triangle is 4 units and the hypotenuse is 9 units. what is the length in units of the other leg of the triangle?
Because a squared + b squared = c squared, and we know that the hypotenuse is c, we can turn the equation into 9^2 - 4^2= the other leg of the triangle. This equation is equivalent to 81 - 16 = 65. Then, you have to find the square root of 65 to get the other leg which is 8.06.
Answer:
Step-by-step explanation:
Pythagorean theorem,
leg ² + leg² = hypotenuse²
leg² + 4² = 9²
leg² + 16 = 81
leg² = 81 - 16
leg² = 65
leg = √65
leg = 8.06 units
SOMEONE PLEASE HELP!! thank you :)
Answer:
This is an arithmetic sequence with a common difference d of -9
Step-by-step explanation:
When you find out d, you realize the difference between the numbers to be -9. Since it is d and not common ratio r, it is an arithmetic sequence.
Find the volume pls
Answer:
V = 960 cm ^3
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base
B = 1/2 bh since the base is the triangle
B = 1/2 *12*8 =48
V = 48 * 20
V = 960 cm ^3
Answer:
960 cm^3
Step-by-step explanation:
volume of prism = (area of base) * (height of prism)
This is a triangular prism, so the base is a triangle.
area of base of prism = area of triangle = bh/2
The base of the triangle is 12 cm. The height of the triangle is 8 cm.
The height of the prism is 20 cm.
volume = (12 cm)(8 cm)/2 * 20 cm
volume = 960 cm^3
HELP ME WITH 6 PLEASE!!!!!
Mrs. Carlyle bought a bag of nuts for her children. Phillip, Joy, Brent, and Preston took some from the bag.Phillip took 1/3. Joy took 1/4 of the remaining nuts. Brent took 1/2 of the remaining peanuts.Preston took 10. There were 71 remaining in the bag. How many peanuts were oringinally in the bag? How many peanuts did each child take?
Answer:
Originally there was 324 nuts in the bag.
Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.
Step-by-step explanation:
Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).
So we can write the following equations:
P1 = N/3
After removing N/3, the remaining nuts is (N - N/3):
J = (N - N/3)/4 = (2N/3)/4 = N/6
After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):
B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4
P2 = 10
In the final there were 71 nuts remaining, so we have that:
N - N/3 - N/6 - N/4 - 10 = 71
N - N/3 - N/6 - N/4 = 81
N/4 = 81
N = 324 nuts
The amount of nuts took by each child is:
P1 = N/3 = 108 nuts
J = N/6 = 54 nuts
B = N/4 = 81 nuts
P2 = 10 nuts
A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
Answer:
The answer is below
Step-by-step explanation:
A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25
Answer: Probability is the ration of possible outcomes to the total number of possible outcomes. The probability of mutually exclusive events i.e. events that cannot occur at the same time is the sum of their individual probabilities. If two events A and B are mutually exclusive events, then:
P(A or B) = P(A) + P(B)
Given that P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25, the probability that a random customer will choose brand J or brand P is given by:
P(J or P) = P(J) + P(P) = 0.22 + 0.35 = 0.57
HELP PLZZZZZZZZZZ!!!!!!!!!
Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8
Answer:
Answer:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
Please help me. 10 points
Simply t^12/t^6
Answer:
The answer is option B
Step-by-step explanation:
t^12/t^6
Use the rules of indices.
Since they have the same base and they are dividing we subtract the exponents.
That's
t^12 - 6
= t^6
Hope this helps you
Answer:
[tex] {t}^{6} [/tex]Option B is the right option.
Solution,
[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]
Explanation:
To divide expression with same base, we copy the base and subtract the indices.
Hope this helps...
Good luck on your assignment..
Which equation represents “the product of a number and 24 is 72”? 24 p = 72 24 = 72 p (24) (72) = p StartFraction p Over 24 EndFraction = 72
Answer:
24p = 72
Step-by-step explanation:
Let the number be p.
The product of p and 24 equals to 72.
p × 24 = 72
24p = 72
Answer:
24p = 72
Step-by-step explanation:
A
Which statement is true of rectangles Y and Z?
Rectangle Y has a length of 6 and width of 4. Rectangle Z has a length of 4 and width of 3.
Answer:
Rectangle Y has a length of 6 and width of 4
Step-by-step explanation:
Just did it
Answer:
Not too sure, but I think it's D.
Step-by-step explanation: