Camille is comparing different apartment complexes. Here is the data she collected. Complex name Bedrooms Bathrooms Rent Rent includes heat Amenities Grand Vistas 2 br 2 bath $990 no fitness center, pool ; Maple Ridge 2br 1.5 bath , $685 yes fitness center, pool; Old Mill 2 1.5, 790 no pool; Willow Brook 2br 2bath $885 no jacuzzi. The individuals in this data set are:
The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.
The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.
Grand Vistas:
Bedrooms: 2
Bathrooms: 2
Rent: $990
Rent includes heat: No
Amenities: Fitness center, pool
Maple Ridge:
Bedrooms: 2
Bathrooms: 1.5
Rent: $685
Rent includes heat: Yes
Amenities: Fitness center, pool
Old Mill:
Bedrooms: 2
Bathrooms: 1.5
Rent: $790
Rent includes heat: No
Amenities: Pool
Willow Brook:
Bedrooms: 2
Bathrooms: 2
Rent: $885
Rent includes heat: No
Amenities: Jacuzzi
Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.
This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.
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What is the Prime Factorization of 16?
O2 x 2 x 2 x. 3
4 x 3 x 2
O2 + 2 X 4
O2 x 2 x 2 x 2
Answer:
2x2x2x2.
Step-by-step explanation:
.
Answer:
2×2×2×2
Step-by-step explanation:
please give me brainlest and follow me
What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
Paula received so many flowers for her birthday that they wouldn't all fit on her desk. By
lunch, her office was decorated with 12 flower bouquets, 7 of which were sunflower bouquets.
If Paula randomly selected 7 bouquets to take home, what is the probability that exactly 4 of
the chosen bouquets are sunflower bouquets?
The probability that all of them are rose bouquets is 0.143.
Here, we have,
It should be noted that this question is about probability without replacement.
The probability of picking a rise bouquet is 5/7. It should be noted that each value decreases since Ariel is selecting 4 bouquets.
The probability that all of them are rose bouquets will be:
= 5/7 × 4/6 × 3/5 × 2/4
= 5/7 × 2/3 × 3/5 × 1/2
= 30/210
= 1/7
= 0.143
The probability is 0.143.
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complete question:
Ariel received so many flowers for her birthday that they wouldn't all fit on her desk. By
lunch, her office was decorated with 7 flower bouquets, 5 of which were rose bouquets.
If Ariel randomly selected 4 bouquets to take home, what is the probability that all of them
are rose bouquets?
Write your answer as a decimal rounded to four decimal places.
The histogram below shows the average number of days per year in 117 Oklahoma cities where the high temperature was greater than 90 degrees Fahrenheit. Which is an accurate comparison? The mean is likely greater than the median because the data is skewed to the right.
The accurate comparison shown by Histogram is that the mean is likely greater than the median because the data is skewed to the right. So, the correct option is A).
The histogram shows a right-skewed distribution, with a tail extending to the right of the peak. This indicates that there are a few cities with very high values that are pulling the mean to the right. In a right-skewed distribution, the mean is always greater than the median. This is because the mean is sensitive to extreme values and the median is not.
Therefore, option A is the accurate comparison. Option B is incorrect because the data is not skewed to the left. Option C is incorrect because the median is always less than the mean in a right-skewed distribution. Option D is also incorrect because the median is always less than the mean in a left-skewed distribution. The correct answer is A).
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_____The given question is incomplete, the complete question is given below:
3 4 5 8 9 10
The histogram below shows the average number of days per year in 117 Oklahoma cities where the high temperature was greater than 90 degrees Fahrenheit.
Which is an accurate comparison?
A The mean is likely greater than the median because the data is skewed to the right.
B The mean is likely greater than the median because the data is skewed to the left.
C The median is likely greater than the mean because the data is skewed to the right.
D The median is likely greater than the mean because the data is skewed to the left.
A(3,0) B, (2,7) C(6,4)
What is the slope of line bc
Answer:
You go down 3 and right 4 to get from point B to point C
Step-by-step explanation:
-3/4
For what values of a and b is x^64 + ax^b +25 a perfect square for all integer values of x?
For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)
To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.
A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.
Let's examine the given expression: \(x^64 + ax^b\) + 25
For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.
So we have:\(x^64 + ax^64 + 25\)
Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)
By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)
Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)
From the second equation, we know that k = 25.
Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)
To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Find the probability selecting a red candy from a bag with 4 red, 3 green, and 7 yellow candies
The probability of selecting a red candy from the bag will be 4/14.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
As per the given,
In the bag 4 red, 3 green, and 7 yellow candies.
Total candies = 4 + 3 + 7 = 14
The number of red candies is 4
The probability of selecting red candy is = 4/14
Hence"Picking a red candy out of the bag will have a 4/14 chance of happening".
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Drag the tiles to the correct boxes to complete the pairs.
Consider the functions below.
f(x) = 12 - 61 – 27
g(t) = 1 - 9
Match the expressions to the correct function combinations.
( + 5)()
(1.9)(*)
(5-8)(=)
13 – 15.12 + 271 + 243
>
2 - 71 - 18
>
22 – 50 – 36
I + 3
Answer:
answer attached
Step-by-step explanation:
just solve them out
The expressions to the correct function combination is (f. g)(x).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
f(x) = 12 - 61 – 27
g(t) = 1 - 9
Now,
To match the expressions to the correct function combinations, you can substitute the values of f(x) and g(t) into the expressions and simplify. For example:
( + 5)() = (f(x) + 5)(g(t))
( + 5)() = ((12 - 6x - 27) + 5)(1 - 9t)
( + 5)() = (17 - 6x)(1 - 9t)
( + 5)() = 17 - 153t - 6x + 54xt
Therefore, by the given equation the answer will be (f. g)(x).
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Divide
14 divided by 2/7
Answer:
49
Step-by-step explanation:
The numbers in 14 divided by 2/7 are labeled below:
14 = whole number
2 = numerator
7 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
\(\frac{14*7}{2}=\frac{98}{2}\)
Thus, the answer to 14 divided by 2/7 in fraction form is:
\(\frac{98}{2}\)
To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
98 / 2 = 49
The answer is rounded to the nearest two decimal points if necessary.
98/2 can be simplified to 49/1.
49/1 is an improper fraction and should be written as 49.
[RevyBreeze]
The division of 14 by 2/7 gives the quotient 49.
What is Division?The division is one of the four introductory fine operations, the other three being addition, deduction, and addition. In simple words, division can be defined as the splitting of a large group into lower groups similar that every group will have an equal number of particulars. It's an operation used for equal grouping and equal sharing in calculation.
We have to divide 14 by 2/7.
So, We have to multiply the fraction by reciprocate the number 2/7 to 7/2.
So, the division is
= 14 x 7/2
= 7 x 7
= 49.
Thus, the quotient is 49.
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HELP PLEASEEEEEEE!!!!!
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
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A 50 foot rope is stretched tight from the roof of a building to a spot 20 feet from the base of the
building. How tall is the building? Round your answer to TWO decimal places.
47.17 feet is the height of the building.
We can use the Pythagorean theorem to solve the problem:
Let h be the height of the building.
Then we have a right triangle with legs 20 and h, and a hypotenuse 50.
Using the Pythagorean theorem, we have:
\(50^2 = 20^2 + h^2\)
Simplifying and solving for h, we get:
\(h = \sqrt{(50^2 - 20^2)\)
h ≈ 47.17 feet (rounded to two decimal places)
Therefore, the height of the building is approximately 47.17 feet.
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Graph the image of square CDEF after a dilation with a scale factor of
1
2
, centered at the origin.
Answer:
Step-by-step explanation:
To graph the image of square CDEF after a dilation with a scale factor of 2, centered at the origin, you would need to double the x and y-coordinates of each vertex of the square.
Assuming square CDEF has vertices at (a, b), (a, b + 1), (a + 1, b + 1), and (a + 1, b), the image of the square after the dilation would have vertices at:
(2a, 2b)
(2a, 2b + 2)
(2a + 2, 2b + 2)
(2a + 2, 2b)
So, the side length of the image square would be double the side length of the original square, and its overall shape would be the same.
To graph the image, you would plot each of the new vertices and connect them to form the image square.
The solution is given below.
What is a square?A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
here, we have,
To graph the image of square CDEF after a dilation with a scale factor of 2, centered at the origin,
we would need to double the x and y-coordinates of each vertex of the square.
Assuming square CDEF has vertices at (a, b), (a, b + 1), (a + 1, b + 1), and (a + 1, b), the image of the square after the dilation would have vertices at:
(2a, 2b)
(2a, 2b + 2)
(2a + 2, 2b + 2)
(2a + 2, 2b)
So, the side length of the image square would be double the side length of the original square, and its overall shape would be the same.
To graph the image, we would plot each of the new vertices and connect them to form the image square.
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Choose True or False for each statement.
Column A
1.
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.:
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.
2.
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.:
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.
3.
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.
4.
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.
The probability that it will rain tomorrow is 0.1, what is the probability that it won't rain tomorrow?
The diameter of a circle is 34 feet. what is the circles circumference ?
Answer:
106.81
Step-by-step explanation:
first convert diameter to radius
radius = diameter / 2radius = 34/2 = 17now find circumference
circumference = 2πr circumference = 2π(17) = 106.81r = radius
The bill for dinner was $55.21. You left $9.79 for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.
The tip was 17.73% of the original bill.
Percent is the value which indicate hundredth part of the quantity .
For Example : 50/100 represents 50%.
It is given in the question that
Bill for dinner = $55.21
Tip given = $9.79
Tip percentage can be calculated using
Tip percent = (tip given / total bill) * 100
Tip percent = (9.79/55.21) * 100
= 0.1773 * 100
= 17.73 %
Therefore , the bill for the dinner was $55.21 and $9.79 was left for the tip ,the percent tip was 17.73% of the original bill .
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One hall can accommodate 65 people. How many halls are required to accommodate 520 people?
8 halls would be required to accommodate 520 people in the hall.
As we know that a hall can accommodate 65 people.
To determine the number of hall required for 520 people,
first we need to find that how many halls would be required for one person,
So, we will divide the 1 by 6 to find :
The number of one person accommodate = 1/65 Hall
Then, 520 people required to accommodate = 1/65 × 520
= 8 Halls.
[Accommodate: to have enough space for somebody/something, especially for a certain number of people]
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If each of the 4 shelves holds 12 movies, how many movies does Betty have on her shelving unit? Show your work.
Answer:
48 Movies
Step-by-step explanation:
If each of the 4 shelves hold 12 movies you'd multiply 12*4.
Answer:
48
Step-by-step explanation:
Simply multiply 4 by 12
equals 48
• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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Solve the system.
-5x + 7y +z = 16
x + y - 4z = -6
-2x – 3y – z= -8
Given :
System of equations :
-5x + 7y + z = 16 ...1)
x + y - 4z = -6 ...2)
-2x -3y -z = -8 ...3)
To Find :
The solution of given system.
Solution :
Putting value of x from equation 2) in equation 1) and 3), we get :
5( -6 + 4z - y ) + 7y + z = 16
21z + 2y = 46 ...4)
-2( -6 + 4z - y ) - 3y - z = -8
12 - 8z + 2y - 3y -z = -8
-9z - y = -20 ...5)
Multiplying equation 5) by 2 and adding equation 4), we get :
3z = 6
z = 2
y = 20 - 18 = 2
Putting value of z and y in equation 2), we get :
x + 2 - 8 = -8
x = -2
Therefore, the solution of the system is ( -2, 2, 2).
simplify this question
Answer:
8192
Step-by-step explanation:
The answer is 8192 but in your multiple-choice problem it's \(2^{13}\)
What is the slope of the following line?
Answer:c, the answer is c
Step-by-step explanation:
9. What is the length of the
hypotenuse of the triangle
when x = 2?
Answer:
Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. 33rad … ical 3 66 33radical 2 16.5 5 Select the correct answer. 2 2
Step-by-step explanation:
Simplify 3(r+5)-4r help me pls NOW
Answer:
-r + 15
Step-by-step explanation:
3r + 15 - 4r =
-r + 15
Hope that helps!
Can someone do number 4 please. and show the work if you can
Step-by-step explanation:
\(\overline{CA} + \overline{AT} = \overline{CT}\)
Since A is the midpoint, then \(\overline{CA} = \overline{AT}.\) Therefore, we can write
\(2x + 8 = 4x + 2 \Rightarrow x = 3\)
Using this value for x, we can write
\(\overline{CT} = \overline{CA} + \overline{AT}\)
\(\:\:\:\:\:\:\:\:= (2x + 8) + (4x + 2)\)
\(\:\:\:\:\:\:\:\:= 2(3) + 8 + 4(3) + 2 = 28\)
Substitution method x=3y-8
Describe how you know that this is a proportional relationship
Answer:
(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") ... This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
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5x-7+3x and 3x-7+5x
equivalent or not equivalent
4y+9+3y and 3y+9+4y
equivalent or not equivalent
6z-2z+4 and 4+2z-6z
equivalent or not equivalent
Answer: See explanation
Step-by-step explanation:
1. 5x-7+3x and 3x-7+5x
5x - 7 + 3x
Collect like terms
5x + 3x - 7 = 8x - 7
3x-7+5x
Collect like terms
3x + 5x - 7 = 8x - 7
They're equivalent
2. 4y+9+3y and 3y+9+4y
4y + 9 + 3y
Collect like terms
4y + 3y + 9 = 7y + 9
3y + 9 + 4y
Collect like terms
3y + 4y + 9 = 7y + 9
They're equivalent
3. 6z-2z+4 and 4+2z-6z
6z - 2z + 4 = 4z + 4
4 + 2z - 6z = 4 - 4z
They're not equivalent