Given Information:
Occupancy rate of Ginger’s hotel = 85%
Competitive set available rooms = 150,000
Competitive set sold rooms = 115,000
Required Information:
Occupancy rate INDEX = ?
Answer:
Occupancy rate INDEX = 111%
Step-by-step explanation:
The occupancy rate INDEX is given by
Occupancy rate INDEX = Occupancy rate of Ginger’s hotel/Occupancy rate of competitive set
We are given the occupancy rate of Ginger’s hotel so we need to first find out occupancy rate of competitive set which is given by
Occupancy rate of competitive set = Competitive set sold rooms/Competitive set available rooms
Occupancy rate of competitive set = 115,000/150,000
Occupancy rate of competitive set = 0.7667
Occupancy rate of competitive set ≈ 76.67%
Finally, we can now find the occupancy rate INDEX
Occupancy rate INDEX = Occupancy rate of Ginger’s hotel/Occupancy rate of competitive set
Occupancy rate INDEX = 85/76.67
Occupancy rate INDEX = 1.108
Occupancy rate INDEX = 110.8%
Occupancy rate INDEX ≈ 111%
Therefore, the approximate occupancy rate INDEX last month for Ginger's hotel is 111%
Use the distributive property to write the following expression WITH parentheses:
6x+18
Answer:
6(x+3)
Step-by-step explanation:
6x+18
6*x + 3*6
Factor out a 6
6(x+3)
A population of values has a normal distribution with μ=204.9μ=204.9 and σ=81.9σ=81.9. You intend to draw a random sample of size n=222n=222. What is the mean of the distribution of sample means? μ¯x=μx¯= (Enter your answer as a number accurate to 4 decimal places.) What is the standard deviation of the distribution of sample means? (Report answer accurate to 4 decimal places.) σ¯x=σx¯=
8)Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with μ=75.9μ=75.9 ft and σ=9.6σ=9.6 ft. You intend to measure a random sample of n=181n=181 trees. What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 4 decimal places.) σ¯x=σx¯=
9) A population of values has a normal distribution with μ=135.7μ=135.7 and σ=88σ=88. You intend to draw a random sample of size n=59n=59. Find the probability that a single randomly selected value is greater than 117.4. P(X > 117.4) = Find the probability that a sample of size n=59n=59 is randomly selected with a mean greater than 117.4. P(¯xx¯ > 117.4) = Enter your answers as numbers accurate to 4 decimal places.
Answer:
7. μ=204.9 and σ=5.4968
8. μ=75.9 and σ=0.7136
9. p=0.9452
Step-by-step explanation:
7. - Given that the population mean =204.9 and the standard deviation is 81.90 and the sample size n=222.
-The sample mean,[tex]\mu_x[/tex]is calculated as:
[tex]\mu_x=\mu=204.9, \mu_x=sample \ mean[/tex]
-The standard deviation,[tex]\sigma_x[/tex] is calculated as:
[tex]\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{81.9}{\sqrt{222}}\\\\=5.4968[/tex]
8. For a random variable X.
-Given a X's population mean is 75.9, standard deviation is 9.6 and a sample size of 181
-#The sample mean,[tex]\mu_x[/tex] is calculated as:
[tex]\mu_x=\mu\\\\=75.9[/tex]
#The sample standard deviation is calculated as follows:
[tex]\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{9.6}{\sqrt{181}}\\\\=0.7136[/tex]
9. Given the population mean, μ=135.7 and σ=88 and n=59
#We calculate the sample mean;
[tex]\mu_x=\mu=135.7[/tex]
#Sample standard deviation:
[tex]\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{88}{\sqrt{59}}\\\\=11.4566[/tex]
#The sample size, n=59 is at least 30, so we apply Central Limit Theorem:
[tex]P(\bar X>117.4)=P(Z>\frac{117.4-\mu_{\bar x}}{\sigma_x})\\\\=P(Z>\frac{117.4-135.7}{11.4566})\\\\=P(Z>-1.5973)\\\\=1-0.05480 \\\\=0.9452[/tex]
Hence, the probability of a random sample's mean being greater than 117.4 is 0.9452
when Lisa and Tom had their first child. they put $7,500 into a savings account, that earns 6% compound interest. if Lisa and Tom did not add or remove anything ,from the savings account. how much interest will they have earned after 4 years.
Answer:
$1,968.6
Step-by-step explanation:
Compound Interest = [P * (1 + i)ⁿ] - P
P = principal = $7,500
i = annual interest rate = 6%
n = number of periods = 4 years
Compound Interest = [$7,500 * (1 + 0.06)⁴] - $7,500
Compound Interest = [$7,500 * (1.06)⁴] - $7,500
Compound Interest = [$7,500 * (1.06)⁴] - $7,500
Compound Interest = [$7,500 * 1.26247696] - $7,500
Compound Interest = $9,468.5772 - $7,500
Compound Interest = $1,968.5772
What is the value of h(2)? -2,-1,0,3
Answer:
C
Step-by-step explanation:
Edge Trust
The value of the h(2), in the given graphed function, is determined as: C. 0.
How to Find the Value of a Function?The value of a function is the corresponding x-value of the function at that particular point or given y-value.
On the given function graph, when h(2), which is y = 2, the corresponding value of x is 0.
Therefore, the value of h(2) is: C. 0.
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What is the surface area of this rectangular pyramid?
4 mm
5 mm
5 mm
square millimeters
To calculate the surface area of a rectangular pyramid, you need to find the base area and the areas of the triangular faces, then sum them up. In this case, the surface area of the given rectangular pyramid is 65 square millimeters.
The surface area of a rectangular pyramid is calculated by adding the base area to the sum of the areas of the four triangular faces.
Find the base area: Base area = length x width = 5 mm x 5 mm = 25 mm².Find the area of each triangular face: Use the formula A = 0.5 x base x height. Given dimensions, calculate the area of one triangle: A = 0.5 x 4 mm x 5 mm = 10 mm².Calculate the total surface area by summing base area and 4 times the area of one triangle: Total surface area = 25 mm² + 4(10 mm²) = 65 mm². Therefore, the surface area of the rectangular pyramid is 65 square millimeters.(0,8) is the ONLY solution to the system of equations:
3y - 6x = 24
8 + 2x = y
True or False
Answer:
False, there are infinite solutions
Step-by-step explanation:
Try solving this
3y - 6x = 24
8 + 2x = y
3(8 + 2x) - 6x = 24
24 + 6x - 6x = 24
24 = 24 true
Need help with number 2. If you don’t know it just leave it like it is (someone literally wrote “the umm” as an answer on my previous post, just don’t)
Answer: I think it is the number of cubes you add with each layer
Step-by-step explanation:
like you add 12 cubes with each layer- so the height is multiplied by 12 btw :)
Good luck with your homework
what is £650 in dollars
Answer:
818.87
Step-by-step explanation:
£650 = $710.76
$1.00 = £0.91
11. Find mZGJK.
Ġ
(5x + 8) H
(7x-16)
Answer:
x = 2Step-by-step explanation:
To find [tex]x[/tex], we need to solve the equation
[tex]G=H[/tex]
Where [tex]G=5x+8[/tex] and [tex]H=7x-16[/tex].
Replacing expressions, we have
[tex]5x+8=7x-16\\16+8=7x+5x\\24=12x\\x=\frac{24}{12}\\ x=2[/tex]
Now, we can find the value of each expression.
[tex]G=5x+8=5(2)+8=10+8=18\\H=7x-16=7(2)-16=14-16=-2[/tex]
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 240. (a) Find an expression for the number of bacteria after t hours. P(t)
Answer:
P(t) = 100e^[(ln2.4/lne)t]
or
P(t) = 100e^0.87546t
Step-by-step explanation:
see attached picture
4y + 1.8 = 14.7 y=
Answer:
y=1.7
Step-by-step explanation:
4y+18=14.7y
18=14.7y-4y
18=10.7y
18/10.7=10.7y/10.7
1.7=y
Solve the equation 1/2y - 21/4 = 35/4 for y. Identify the sequence of operations used to solve the equation.
Answer:
y = 1/28
Step-by-step explanation:
Given the expression:
½y - 21/4 = 35/4
We'll have to Multiply through with the LCM which is (2y * 4 = 8y)
(8y) ½y - (8y) 21/4 = (8y) 35/4
4 - 2y * 21 = 2y * 35
4 - 42y = 70y
4 = 70y + 42y
4 = 112y
Divide through by 112 to make y the subject.
y = 4 / 112
y = 1 / 28
Answer: y = 28
Step-by-step explanation:
Add both sides by 21/4 to cancel out the 21/4 on the left side. 1/2y = 56/4
You can rewrite the fraction 56/4 as 28/2 by dividing the numerator and denominator by 2. 1/2y = 28/2
Multiply both sides by 2 and you get y = 28
With this data, they test the following hypotheses. LaTeX: H_0H 0: Of Millennial students at their campus, 36% live at home with their parents. LaTeX: H_aH a: More than 36% of Millennial students at their campus live at home with their parents. In order to assess the evidence, which question best describes what we need to determine? Group of answer choices If we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 36%? If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be 36%? If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%? If we examine a sample of students at their campus and determine the proportion who still live at home with their parents, how likely is that proportion to be 43% or more? If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be 43%?
Answer:
The right question that describes what we need to examine is that:
If we examine the proportion of students at their campus who still live at home with their parents, how likely is that proportion to be more than 36%?
Step-by-step explanation:
For hypthesis testing, it is the p-value that needs to be obtained, to know the significance of the result. It is in the definition of what the p-value stands for that one would be able to pick which question best describes what we need to determine?
The p-value is actually defined as the probability of obtaining results as extreme as the observed results in the statistical analysis provided that the null hypothesis is true.
It is the probability of obtaining the claim to be tested that is usually contained in the alternative hypothesis, provided the null hypothesis is true.
So, since the null hypothesis states that the proportion of Millennial students at their campus, that live at home with their parents = 36%
The p-value is how likely it is or the probability that more than 36% of Millennial students at their campus live at home with their parents.
Hope this Helps!!!
Which is the equation of a parabola with Vertex (0, 0) and focus (0, 2)?
Answer:
^C
Step-by-step explanation:
The equation of a parabola with Vertex (0, 0) and focus (0, 2) is,
y = 1/8x²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The vertex of parabola = (0, 0)
And, The focus of parabola = (0, 2)
Hence, We get;
a = 2
So, The equation of a parabola with Vertex (0, 0) and focus (0, 2) is,
x² = 4ay
x² = 4 × 2y
x² = 8y
y = 1/8x²
Thus, The equation of a parabola with Vertex (0, 0) and focus (0, 2) is,
y = 1/8x²
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Chairs for an orchestra are positioned in a curved form with the conductor at the center. The front row has 16 chairs, the second has 20 and the third has 24, and so on.
Answer:
The sixth term;
= 16 + (6-1)4 = 16 +20 = 36
Sixth term = 36
Pattern; a = 16, d = 4
16,20,24,28,32,36...
Completed question;
Chairs for an orchestra are positioned in a curved form with the conductor at the center. The front row has 16 chairs, the second has 20 and the third has 24, and so on. describe the pattern of the sequence. How many chairs are in the 6th row?
Step-by-step explanation:
This scenario can be represented by an arithmetic progression sequence.
nth term of an AP = a + (n-1)d
Where;
a = first term
d = common difference
n = term number
Given;
First term a = 16
Second term = a + d = 20
since a = 16
a+d = 16+d = 20
d = 20-16 = 4
The sixth term;
= 16 + (6-1)4 = 16 +20 = 36
Sixth term = 36
Pattern; a = 16, d = 4
16,20,24,28,32,36...
which of the following best describes the line the arrow is pointing to in the regular pentagon below? A. Leg B. Diagonal C. Base D. Apothem
Answer:
D. Apothem
Step-by-step explanation:
An Apothem is a line from the center of a regular polygon at right angles to any of its sides.
The correct describes the line the arrow is pointing to in the regular pentagon below is,
⇒ Apothem
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
A regular pentagon is shown in figure.
Now, The line is vertical line.
Hence, From the center of the pentagon to the edge is called ''Apothem.''
Therefore, The correct describes the line the arrow is pointing to in the regular pentagon below is,
⇒ Apothem
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-px+r=-8x-2 solve for x.
Answer:
x = [tex]x = \frac{2+r}{p-8}[/tex]
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
(2+r)/(p-8) = x
Step-by-step explanation:
-px+r=-8x-2
Add px to each side
-px+r+px=-8x+px-2
r = -8x+px -2
Add 2 to each side
2+r = px-8x
Factor out an x
(2+r) = x(p-8)
Divide each side by (p-8)
(2+r)/(p-8) = x(p-8)/(p-8)
(2+r)/(p-8) = x
The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 21 feet and 5 feet long. It has an area of 26 square feet. What is the height of the cross section?
Answer:
2 feet
Step-by-step explanation:
We are given that
[tex]b_1=21 feet[/tex]
[tex]b_2=5feet[/tex]
Area of trapezoid=26 square ft
We have to find the height of the cross section.
We know that
Area of trapezoid=[tex]\frac{1}{2}(b_1+b_2)h[/tex]
Using the formula
[tex]26=\frac{1}{2}(21+5)[/tex]
[tex]26=\frac{1}{2}(26)h[/tex]
[tex]h=\frac{26\times 2}{26}=2 feet[/tex]
Hence, the height of cross section =2 feet
Answer the question bellow
Answer:
B?
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D is not a function because for every X value, there may be more than 1 corresponding Y value past 0. For instance, if you input x=1 into this function, you get both 2 and -2, which does not make this a proper function.
An oblique hexagonal prism has a base area of 42
square cm. The prism is 4 cm tall and has an edge
length of 5 cm.
What is the volume of the prism?
cubic centimeters
5 cm
4 cm i
Answer:
168 cm³
Step-by-step explanation:
The base area of the oblique hexagonal prism = 42 cm²
the height of the prism = 4 cm
Volume of the prism = Base area × height = 42 cm² × 4 cm = 168 cm³
The volume of the oblique hexagonal prism is 260.00 cubic centimeters. This is calculated by multiplying the base area (65.00 square cm) by the height (4 cm) using the formula Volume = Base Area × Height.
To find the volume of an oblique hexagonal prism, you can use the formula:
Volume = Base Area × Height
You're given that the base area is 42 square cm and the height is 4 cm. Now, let's determine the base shape of the hexagonal prism.
A hexagon has six sides, and each side is an equilateral triangle with an edge length of 5 cm. To find the area of one of these equilateral triangles, you can use the formula:
Area of Equilateral Triangle = (side length^2 * √3) / 4
Area of Equilateral Triangle = (5 cm^2 * √3) / 4 ≈ 10.83 square cm
Since there are six identical triangles in the hexagonal base, the total base area is:
Base Area = 6 * Area of Equilateral Triangle ≈ 6 * 10.83 square cm ≈ 65.00 square cm
Now, you can calculate the volume:
Volume = Base Area × Height
Volume = 65.00 square cm × 4 cm = 260.00 cubic cm
So, the volume of the oblique hexagonal prism is 260.00 cubic centimeters.
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The molarity of a solute in solution is defined to be the number of moles of solute per liter of solution (1 mole = 6.02 × 1023 molecules). If X is the molarity of a solution of magnesium chloride (MgCl2), and Y is the molarity of a solution of ferric chloride (FeCl3), the molarity of chloride ion (Cl−) in a solution made of equal parts of the solutions of MgCl2 and FeCl3 is given by M = X + 1.5Y . Assume that X has mean 0.125 and standard deviation 0.05, and that Y has mean 0.350 and standard deviation 0.10.
a. Find the mean of M
b. Find the standard deviation of M (assume X and Y are independent).
Please help, need accurate solutions
Answer:
a) 0.65
b) 0.1581
Step-by-step explanation:
We are given the following in the question:
Distribution of X:
Mean = 0.125
Standard deviation = 0.05
Distribution of Y:
Mean = 0.350
Standard deviation = 0.10
Solution:
[tex]M = X + 1.5Y[/tex]
a) mean of M
[tex]\mu_M = \mu_X + 1.5(\mu_Y) = 0.125 + 1.5(0.350) = 0.65[/tex]
b) standard deviation of M
If X and Y are independent then,
[tex]Var(X+Y) = Var(X) + Var(Y)\\Var)aX) = a^2Var(X)[/tex]
[tex]Var(M) = Var(X+1.5Y)\\Var(M) =Var(X) + (1.5)^2Var(Y)\\Var(M) = (0.05)^2 + (1.5)^2(0.10)^2 = 0.025[/tex]
Standard deviation of M =
[tex]=\sqrt{Var(M)} = \sqrt{0.025} = 0.1581[/tex]
The mean of M is 0.650. The standard deviation of M is approximately 0.1581.
To find the mean of M, we need to substitute the mean values of X and Y into the equation M = X + 1.5Y. Given that X has a mean of 0.125 and Y has a mean of 0.350, we can calculate the mean of M as follows:
M = X + 1.5YM = 0.125 + 1.5(0.350)M = 0.125 + 0.525M = 0.650Therefore, the mean of M is 0.650.
To find the standard deviation of M, we can use the fact that X and Y are independent. The formula for the standard deviation of the sum of independent random variables is given by:
σM = √(σX2 + (1.5σY)2)
Given that X has a standard deviation of 0.05 and Y has a standard deviation of 0.10, we can substitute these values into the formula to calculate the standard deviation of M:
σM = √((0.05)2 + (1.5 × 0.10)2)σM = √(0.0025 + 0.0225)σM = √0.0250σM = 0.1581Therefore, the standard deviation of M is approximately 0.1581.
Ezra enjoys gardening.
Let SSS represent the number of sunflower plants and LLL represent the number of lily plants Ezra's water supply can water.
0.7S+0.5L \leq 110.7S+0.5L≤110, point, 7, S, plus, 0, point, 5, L, is less than or equal to, 11
Ezra waters 101010 lily plants. How many sunflower plants can he water at most with the remaining amount of water?
Answer:
8
Step-by-step explanation:
You want to know the number of sunflower plants (S) that can be watered along with 10 lily plants (L) if the water supply is described by ...
0.7S +0.5L ≤ 11
SolutionSubstituting 10 for L, we have ...
0.7S +0.5(10) ≤ 11
0.7S +5 ≤ 11
0.7S ≤ 6
S ≤ 6/0.7 ≈ 8.57
We want to count only plants that can be watered completely, so we need to round this number to the next lower integer.
Ezra can water 8 sunflower plants with the remaining water.
A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.
How long was the original length of ribbon?
Answer:
The original length of the rope is 140
Step-by-step explanation:
21x (100/15)
Answer:
140
Step-by-step explanation:
.
How many solutions does this linear system have?
y=2x-5
-8x - 4y=-20
one solution: (-2.5, 0)
one solution: (25,0)
no solution
infinite number of solutions
Answer:
The solution is (0.4;-4.2). I'm not sure since my solution is none of your alternatives, but I don't think I have made any mistakes.
Step-by-step explanation:
Replace the y at the second eq.
-8x-4(2x-5)=-20
-16x+20=-20
-16x=-40
x=0.4
Therefore y equals:
2×0.4-5=-4.2
Answer:
one solution: (2.5,0)
Step-by-step explanation:
45 POINTS PLZ ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 3/4 x 21
Step-by-step explanation:
Answer:
I believe it is #2:
x = 3/4 × 21.
Data were collected on annual personal time (in hours) taken by a random sample of 16 women (group 1) and 7 men (group 2) employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family. The results of the test are tequals2.02 with an associated p-value of 0.0352. The correct conclusion at alphaequals0.05 is to _______.
Answer:
We reject the null hypothesis
Step-by-step explanation:
In statistical hypothesis testing, the p-value or probability value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct
Since the p value is less than a, you would reject the null hypothesis and conclude that women take more personal time than men.
What size cop would someone with a head circumference of 570 mm need
What is the solution set of |–x| = 3.5?
Answer:
x = -3.5, 3.5
Step-by-step explanation:
| -x| = 3.5
x = -3.5, 3.5
Tell me if I am wrong.
Can I get brainliest
Final answer:
The solution set of the equation |–x| = 3.5 is found to be {3.5, -3.5}, considering both positive and negative values of x.
Explanation:
The solution set of |–x| = 3.5 involves considering two cases based on the absolute value:
When x is negative, the equation becomes -(-x) = 3.5, which simplifies to x = 3.5.
When x is positive, the equation remains -x = 3.5, resulting in x = -3.5.
Therefore, the solution set is {3.5, -3.5}.
In the right triangle above a=2.7 and b=4.3. Find the value of c, rounded to the nearest tenth
Answer:
5.1
Step-by-step explanation:
Since there is no diagram provided here, we assume that c is the length of the hypotenuse, so we have ...
c² = a² +b² . . . . . . Pythagorean theorem
c² = 2.7² +4.3² = 25.78
c = √25.78 ≈ 5.0774
c ≈ 5.1
8 more than the product of 12 and 4
Answer:
56
Step-by-step explanation:
The product of 2 numbers is what you get multiplying them together:
12x4 = 48
Now we need 8 more of that product so:
48 + 8 = 56