Oe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 505050 total rooms. Joe had already reserved and paid for 161616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 888 rooms and costs \$900$900dollar sign, 900. Let BBB represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 16+8B \leq 5016+8B≤5016, plus, 8, B, is less than or equal to, 50 (Choice B) B 16+8B \geq 5016+8B≥5016, plus, 8, B, is greater than or equal to, 50 (Choice C) C 16+B \leq 5016+B≤5016, plus, B, is less than or equal to, 50 (Choice D) D 16+B \geq 5016+B≥5016, plus, B, is greater than or equal to, 50 2) What is the least amount of additional money Joe can spend to get the rooms they need? dollars
Answers
Given:
They need at least 50 total rooms.
Already reserved rooms = 16
1 Block = 8 rooms
Cost of one block = $900
To find:
The inequality for the given scenario.
Solution:
(1)
Let B represent the number of additional blocks that Joe reserves.
1 Block = 8 rooms
B Block = 8B rooms
Total number of rooms = 16 + 8B
They need at least 50 total rooms. It means, total number of rooms must be great than or equal to 50.
\(16+8B\geq 50\)
Therefore, the correct option is B.
(2)
We have,
\(8B\geq 50-16\)
\(8B\geq 34\)
Divide both sides by 8.
\(B\geq \dfrac{34}{8}\)
\(B\geq 4.25\)
So, least number of required blocks is 5.
Least amount of additional money is
\(5\times \$900=\$4500\)
Therefore, the least amount of additional money Joe can spend to get the rooms they need is 4500 dollars.
Related Questions
Sabrina is making a box in the shape of a cube with a side length of s. the volume of the box, s cubed, is 27/1,000 ft cubed. sabrina wants to completely cover two of the faces with labels.
Answers
Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is ( 9/50 ) sq ft .
Length of the side of cube = s
The given volume of cubical box = ( 27/1000 ) ft cubed equation 1
Volume of Cubical box = \((length of cube side)^{3}\)
Volume of Cubical box = \(s^{3}\) equation 2
On comparing equation 1 and equation 2 , we get
\(s^{3}\) = ( 27 / 1000 )
s = ( 3 / 10 ) = 0.3 ft
Sabrina wants to completely cover two of the faces with labels, So we need to calculate the area of two sides of cubical box.
The area of two sides of cubical box = 2 \(s^{2}\)
The area of two sides of cubical box = 2 ( 3/10 )² = ( 9 / 50 ) sq ft
Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is ( 9/50 ) sq ft .
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Terry's house is 32 feet wide and the peak of the roof line is at 24 feet. write the absolute value equation to model the roof line
Answers
The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:
y = |x - 16| + 24
This equation models the roof line of Terry's house.
To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:
y = |x - h| + k
where (h, k) represents the vertex of the absolute value graph.
In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.
Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:
y = |x - 16| + 24
This equation models the roof line of Terry's house.
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You want to make a conical candle using 15 in. of wax. If the candle's height is twice its diameter, what radius and height should it have, to the nearest tenth?
Answers
We know that the candle will have 15 cubic inches of wax, this is the volume.
Now, if the candle's height is twice its diameter, then we express
\(h=2d\)Additionally, the volume of a cone is
\(V=\frac{1}{3}(\pi)r^2h\)Where pi=3.14. Also, we know that the radius is half the diameter, so we'll use the following expression
\(h=2\cdot2r=4r\)Replacing all, we have
\(\begin{gathered} 15=\frac{1}{3}(3.14)r^2\cdot4r \\ \frac{45}{3.14}=4r^3 \\ 4r^3=14.3 \\ r=\sqrt[3]{\frac{14.3}{4}} \\ r\approx1.53 \end{gathered}\)The radius should be 1.5 inches long.
Then, we find the height
\(\begin{gathered} h\approx4(1.53) \\ h\approx6.12 \end{gathered}\)The height should be 6.1 inches long.
The flower shop recieved a shipment of 342 pink roses and 330 red roses. The shop owner uses 8 roses to make one arrangement. How many arrangements how many arrangements can the shop owner make if he uses all the roses
Answers
Answer:
84 arrangements
Step-by-step explanation:
First, we need to calculate the total number of roses that the shop owner has. We do this by adding the pink roses and the red roses that the owner has.
342 + 330 = 672 total roses
Now that we have the total number of roses we simply divide by the number of roses needed for each arrangement (8) in order to calculate the total number of arrangements that the owner can make.
672 / 8 = 84 arrangements
how heavy a load (in pounds) is needed to pull apart pieces of douglas fir 4 inches long and 1.5 inches square? data from students doing a laboratory exercise are given.
Answers
With the help of binomial distribution we can conclude our answer.
What is binomial distribution?The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability displaystyle q=1-pq=1-p). This distribution is used in probability theory and statistics. A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results. For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution. The popular binomial test of statistical significance is based on the binomial distribution. [1]A sample of size n drawn with replacement from is widely used to model the number of successes using the binomial distribution.acc to our question-
The confidence interval can be found out using,
Confidence interval = Mean ± MOE = 30,800 ± 1,314.8079 = 29,485.192 , 32,114.8Hence, the confidence interval for the mean load required to pull the wood apart is (29,485.192 , 32,114.8).
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2. Select each number that could be multiplied by 2,789 to get a number greater than 2.789.
A) 1/3
B) 5/8
C) 1 1/3
D) 1 4/6
Answers
Answer:
the answer is 11/3
Step-by-step explanation:
LET'S FIND THE QUOTIENTS!:
(4m² + 5m - 6 ) ( m + 2)
HELPPPPP!!!
Answers
Answer:
4\(m^{3}\) +13m² + 4m - 12
Step-by-step explanation:
Use FOIL type method:
(4m^2 +5m - 6)(m+2)
= (4m^2)(m) + (5m)(m) - (6)(m) + (4m^2)(2) + (5m)(2) - (6)(2)
= 4m^3 +5m^2 +8m^2 -6m +10m -12
combine like terms:
= 4m^3 +13m^2 + 4m -12
a pair of fair six sided dice are rolled, and the sum of the faces is recorded. what is the probability of rolling a sum of 5?
Answers
The probability of rolling a sum of 5 is 1/9 because there is only one combination of dice that can result in a sum of 5 (1+4 or 4+1).
There are 6 possible outcomes on a single die (1, 2, 3, 4, 5, or 6). When rolling two dice, there are 36 possible outcomes (6 x 6). To calculate the probability of rolling a sum of 5, we need to determine how many of the 36 possible outcomes will result in a sum of 5. The only combination of dice that will result in a sum of 5 is 1+4 or 4+1. Therefore, the probability of rolling a sum of 5 is 1/9, since there is only one combination of dice that will result in a sum of 5 out of the 36 possible outcomes.
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The ratio of pens to pencils that are used used by woodland's middle school was 3:2. If there is a total of 160 middles school students how many of them used pencils?
Answers
Answer:
Number of students who uses pencils = 64 students
Step-by-step explanation:
Pens : pencils = 3 : 2
Pen = 3
Pencil = 2
Total = 3 + 2 = 5
If there is a total of 160 middles school students how many of them used pencils?
Number of students who uses pencils = ratio of pencil / Total × number of students
= 2 / 5 × 160
= (2 * 160) / 5
= 320/5
= 64
Number of students who uses pencils = 64 students
Number of students who uses pen = ratio of pen / Total × number of students
= 3/5 × 160
= (3*160)/5
= 480/5
= 96 students
Is a – b a positive number or a negative number? How do you know?
b b
a
1
Please help I will give you Brainlyest
Answers
Answer:
A positive number.
Any negative subtracted from a positive will always be positive.
Answer:
a-b will be and will always be a POSITIVE number.
This is because a is positive, and b is negative.
However, when you subtract a negative number, you are actually just adding it.
So, a - (-b) = a+b.
This is why, it will always be positive.
Let me know if this helps!
A rope is 225 centimeters long.
You need the rope to be 112 meters long.
Answers
Answer:
multiply by 49.8 or add 10975 cm.
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
Answers
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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Suppose that the two-dimensional vectors (X1, Y1), (X2, Y2),. , (Xn, Yn) form a random sample from a bivariate normal distribution for which the means of X and Y are unknown but the variances of X and Y and the correlation between X and Y are known. Find the M. L. E. ’s of the means
Answers
The MLE’s of the means of X and Y in a bivariate normal distribution, given the variances of X and Y and the correlation between X and Y, can be found by solving the equations ∑(Xn-µx)/σx2 = 0 and ∑(Yn-µy)/σy2 = 0 for µx and µy. The solutions are µx = (1/n)∑Xn and µy = (1/n)∑Yn.
Let µx and µy be the means of X and Y, respectively.
The MLE of µx and µy can be found by maximizing the joint likelihood function:
L(µx, µy) = (2πσxσy√(1-ρ2))-n/2 exp{-1/2[∑(Xn-µx)2/σx2 + ∑(Yn-µy)2/σy2 - 2ρ(∑(Xn-µx)(Yn-µy)/(σxσy))]}
Taking the partial derivatives of L with respect to µx and µy and setting them to zero yields the equations
∑(Xn-µx)/σx2 = 0
∑(Yn-µy)/σy2 = 0
Solving these equations yields the MLE’s of µx and µy:
µx = (1/n)∑Xn
µy = (1/n)∑Yn
The MLE’s of the means of X and Y in a bivariate normal distribution, given the variances of X and Y and the correlation between X and Y, can be found by solving the equations ∑(Xn-µx)/σx2 = 0 and ∑(Yn-µy)/σy2 = 0 for µx and µy. The solutions are µx = (1/n)∑Xn and µy = (1/n)∑Yn.
The complete question is :
Suppose that the two-dimensional vectors (X1, Y1), (X2, Y2),. , (Xn, Yn) form a random sample from a bivariate normal distribution for which the means of X and Y are unknown but the variances of X and Y and the correlation between X and Y are known. Find the M. L. E. ’s of the means of X and Y.
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Show your work for 24 points please thank you
Answers
Answer:
the answer is 7
Step-by-step explanation: the answer is always 7 dawg, YURRRRR
try these.Evaluate the following logarithms.
Answers
Answer:
Reminder: \(log _a x\) answers the question: "what power do I have to raise a to in order to get x?"
Thus said.
\(1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8\)
Last one, if you already talked about log properties, can be handled as:
\(log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)\)
What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8
Answers
The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.
Describe functions.Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.
The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.
By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.
h(x) = x² + 3x - 8 = 0
We may factor the left side of the equation to find x:
x² + 3x - 8 = (x-2)(x+4) = 0
We set each factor to zero and solve for x to discover the zeroes:
x-2 = 0 or x+4 = 0
x = 2 or x = -4
Consequently, the function's zeros are x = 2 and x = -4.
So, A is the right response. x = -4 and x = 2
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The complete question is
What are the zeros of the function h (x) = x² + 3x - 8?
A. x = -4 and x = -2
B. x= -8 and x = 2
C. x = -2 and x = 8
D. x = 2 and x = 8
1/3x+2/3=10 remember to eliminate the denominator
Answers
Answer:
x=28
Step-by-step explanation:
1/3x+2/3=10
3(1/3x+2/3)=3(10)
x+2=30
x=28
6 multiplied by 3, then increased by 10
Answers
(6 * 3) + 10
Simplifying the expression:
18 + 10
Which equals:
28
Answer:28
Step-by-step explanation:
Break it up! 6x3 is 18. Then 18 + 10 is 28 :P
Hope this helps :D
(-5)²×(-5)⁴
answer it please
Answers
Answer:
15625
Step-by-step explanation:
(-5) ^ 2 * (-5) ^ 4
-5 to the second power is -25
-5 to the 4th power is -625
-25 * -625 = 15625
Just multiply 25 by 625 to get 15625 because negative * negative = positive
HOPE IT HELPED
3. Today, Dahlia folded 29 paper cranes. Now there are 41 paper cranes in class. How many cranes were there in class yesterday? Each paper crane has a length of 10 centimetres. How many centimetres were there total for all the paper cranes?
Answers
Answer:
There were 12 cranes in class yesterday. For all the cranes, there were a total of 290 centimeters.
Step-by-step explanation:
41-29=12.
29*10=290
which of the following is the sum of the numbers if the mean of five number is 6
Answers
Answer:
Step-by-step explanation:
you have to do 5+1 and then you will get 6
AYUDAAAA, LES DOY CINCO ESTRELLAS SI LO RESUELVEN BIEN
Answers
dividido por la epotenusa es 7 :v
Let X(n) be the number of letters printed by procedure Print Xs() below if the input is n (where n ≥ 1). (i) Give the exact formula for X(n) using the notation. (ii) Give the exact closed-form formula for X(n) expressed as a polynomial function. (iii) Give the asymptotic value of X(n) using the e-notation. Justify your answer. procedure PrintXs(n) for i 1 to 4n+ 1 for j← 1 to i do print ("X")
Answers
the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.
(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.
(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.
(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.
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A binomial probability distribution with p = .3 is
a. bimodal
b. symmetrical
c. positively skewed
d. negatively skewed
Answers
A binomial probability distribution with p = 0.3 is c. positively skewed.
A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.
The correct answer is c. positively skewed.
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question 1 (1 point) apa format was developed toquestion 1 options:increase the complexity of statistical analyses.create a uniform standard of writing.avoid the need for reference sections.frustrate undergraduates.
Answers
APA format was developed to create a uniform standard of writing.
APA format, which stands for the American Psychological Association format, was established to provide a standardized structure and style for writing scientific papers in the social sciences. It ensures consistency and uniformity in the presentation of research papers, allowing researchers to communicate their work effectively and facilitate the dissemination of knowledge. APA format includes guidelines for organizing the content, citing sources, formatting references, and presenting data. By following these guidelines, researchers can promote clarity, accuracy, and professionalism in their written work. The adoption of APA format helps maintain a common writing style across various disciplines, enhancing readability, facilitating comprehension, and ensuring that scholarly work adheres to established conventions.
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mark has 5 pants and 7 shirts in his closet. he wants to wear a different pant/shirt combination each day without buying new clothes for as long as he can. how many weeks can he do this for?
Answers
Mark has 35 unique combinations to choose from, so can he co go 5 weeks with this set of clothes
Number of pants in Mark's closet = 5
Number of shirts in Mark's closet = 7
Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.
He can choose amongst the pants in 5 ways, similarly, he can choose among the shirts in 7 ways
Total number of combinations = 5*7 = 35 unique combinations
So, if he wears one combination each day he can last 35 days or 5 weeks, without buying new clothes
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Select all of the ways to describe the number −273. Rational number Integer Whole number
Answers
Answer:
Step-by-step explanation: -273 is a rational number because it is a whole number. It is also an integer ( an integer also means a whole number) and obviously, it is also a whole number
This means that -273 is a rational number, a whole number, and an integer.
Answer: -273 is a rational number because it is an integer.
Step-by-step explanation:
I need help of finding the answer does anyone know it
Answers
Answer:
less than 3/4 pound of watermelon
Step-by-step explanation:
half of 3/4 is 3/8, which is less than 3/4 clearly
sum and product of two irrational numbers is irrational give examples. please answer me fast i am waiting
Answers
Answer:
π+π/∞+∞/√∞+∛∞
Step-by-step explanation:
whats the answer to 5^-2
Answers
Hey!!
Solution,
(5)^-2
=1/5^2
=1/25
The answer is 1/25
hope it helps
Good luck on your assignment