Answer:
[tex](a)\ Mean = 80kg[/tex]
[tex](b)\ Median = 76kg[/tex]
[tex](c)\ Mode = 61kg[/tex]
Step-by-step explanation:
Given
[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]
[tex]n = 9[/tex]
Solving (a): The mean
This is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{105kg+53kg +76kg +91kg +120kg +61kg +55kg +98kg +61kg}{9}[/tex]
[tex]\bar x = \frac{720kg}{9}[/tex]
[tex]\bar x = 80kg[/tex]
Hence:
[tex]Mean = 80kg[/tex]
Solving (b): The median
[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]
Arrange in ascending order
[tex]Data: 53kg ,55kg, 61kg ,61kg,76kg ,91kg ,98kg , 105kg,120kg[/tex]
[tex]n = 9[/tex]
So, the position of the median element is:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{9+1}{2}th[/tex]
[tex]Median = \frac{10}{2}th[/tex]
[tex]Median = 5th[/tex]
The 5th element is 76kg
Hence:
[tex]Median = 76kg[/tex]
Solving (c): The mode
In the given data
[tex]Mode = 61kg[/tex]
Because it has a frequency of 2 (the highest), others have 1
Timed plz help meeee
Plsss help I am falling
There are 36 people camping at Max's family reunion. They are sleeping in tents. If 4 people can sleep in each tent, how many tents are at the campsite?
Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers three luncheon chili specials, Wimpy, Dial 911, Fire Bowl. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes).
The profit on one serving of Wimpy is $0.6, on one serving of Dial 911 is $0.55, and on one serving of Fire Bowl is $0.65.
The following table shows the required ingredients to make one serving of each chili special, and the available amount of each ingredient for today :
Ingredient Required ingredient for each serving of Wimpy Required ingredient for each serving of Dial 911 Required ingredient for each serving of Fire Bowl Available Amount
Beef (lbs) 1 1 1.5 15
Onions (cup) 2 2 2 20
Special Sauce (oz) 5 2 3 90
Hot Sauce (oz) 0 5 6 60
Based on the historical sales data, Kilgore's Deli has the following considerations:
the number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
the number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
the available number of servings for Dial 911 must be at least 2.
(1.1) Develop the linear programming model to help determine the number of servings of Wimpy, Dial 911, and Fire Bowl to make in order to maximize his profit today. Type your algebraic formulation in the specified area in Q1 tab of the Excel template. Note you will not get full credits without including the algebraic formulation.
(1.2) Solve your LP model in Excel and fill in the following blanks (show your work in Q1 tab):
The optimal number of servings of Wimpy is
The optimal number of servings of Dial 911 is
The optimal number of servings of Fire Bowl is
The maximum possible profit is
Is there any leftover of ingredients as a result of this optimal solution? if yes, enter the amount. Otherwise, just type 0.
Amount of beef leftover
Amount of onion leftover
Amount of special sauce leftover
Amount of hot sauce leftover
Answer:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
Amount of beef leftover 2 lb
Amount of onions leftover 0
Amount of Special Sauce leftover 61
Amount of Hot Sauce leftover 9
Step-by-step explanation:
Ingredients Beef Onions Special S Hot S Profit
Wimpy (x₁) 1 2 5 0 0.6
Dial 911 (x₂) 1 2 2 5 0.55
Fire Bowl (x₃) 1.5 2 3 6 0.65
Available 15 20 90 60
Objective Function z:
z = 0.6*x₁ + 0.55*x₂ + 0.65*x₃ to maximize
Subject to:
1) Quantity of beef : 15
x₁ + x₂ + 1.5*x₃ ≤ 15
2) Quantity of onions: 20
2*x₁ + 2*x₂ + 2*x₃ ≤ 20
3) Quantity of Special sauce: 90
5*x₁ + 2*x₂ + 3*x₃ ≤ 90
4) Quantity of hot sauce: 60
0*x₁ + 5*x₂ + 6*x₃ ≤ 60
5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
x₃ ≥ 0.1 ( x₁ + x₂ + x₃ ) or x₃ ≥ 0.1*x₁ + 0.1 *x₂ + 0.1*x₃
x₃ - 0.1*x₁ - 0.1 *x₂ - 0.1*x₃ ≥ 0
- 0.1*x₁ - 0.1 *x₂ + 0.9 *x₃ ≥ 0
6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
x₃ - x₂ ≤ 3
7)the available number of servings for Dial 911 must be at least 2.
x₂ ≥ 2
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
With on-line solver solution is:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
By sbstitution on the constraints
1) x₁ + x₂ + 1.5*x₃ ≤ 15 1 + 3 + 9 = 13
Amount of beef leftover 2 lb
2) 2*x₁ + 2*x₂ + 2*x₃ ≤ 20 2 + 6 + 12 = 20
Amount of onions leftover 0
3) 5*x₁ + 2*x₂ + 3*x₃ ≤ 90 5 + 6 + 18 = 29
Amount of Special Sauce leftover 61
4)0*x₁ + 5*x₂ + 6*x₃ ≤ 60 15 + 36 = 51
Amount of Hot Sauce leftover 9
Item 1
Use the figure to find the measures of the numbered angles.
Parallel lines a and b are intersected by a transversal t. Angle 1 and angle 99 degrees are supplementary angles. Angle 1 and angle 3 are vertical angles. Angle 2 and angle 99 degrees are vertical angles. Angle 99 degrees and angle 4 degrees are corresponding angles on the same side of the transversal. Angle 1 and angle 5 are corresponding angles on the other side of the transversal. Angle 5 and angle 7 are vertical angles. Angle 6 and angle 4 are vertical angles.
9514 1404 393
Answer:
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
Step-by-step explanation:
Vertical and corresponding angles are congruent. Angles 1 and 99° are supplementary, so ...
∠1 = 180° -99° = 81°
Then we have ...
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
the cost of using broadband in a hotel is £30 per hour formula to work out this total this total cost is cost in pounds = 3× number of hours. Workout the total of using boardband for 2 hours and 5 hours
Answer:
10
Step-by-step explanation:
Will you need to show that all of the parts of one triangle are congruent to all of the parts of the other triangle to prove they are congruent? Explain.
Answer:
will be sufficient to prove triangles congruent. If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
please help with this question
Answer:
1/2
Step-by-step explanation:
P= 7/14
= 1/2
The probability of Pickup Truck is 1/2
What is the greatest common factor of 16, 36, and 28?
. If x = -1 and y = -2, what is the value of the expression 2x^2y - 3xy?
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
just plug in the numbers for each variable.
2(-1)^(2(-2)) - 3(-1)(-2) = 2 - 6 = -4
Jennifer wants to borrow $ 20, 000 . Her bank offers a 7.1% interest rate. She can afford $500 a month for loan payments. What should be the length of her loan to the nearest tenth of a year
Answer:
4.2 years
Step-by-step explanation:
20000(.071)t ≤ 500(12)
1420t ≤ 6000
t = 4.2
Her loan is 4.2 years long to the nearest tenth of a year.
How is compound interest determined?To calculate compound interest, multiply the original loan principle by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the loan's principal plus compound interest.Compound interest is one of the most useful financial concepts, which states that the interest you earn each year is added to your principal so that the balance not only grows, but grows at an increasing rate. It serves as the foundation for everything, including a person's personal savings strategy and the long-term growth of the stock market.Therefore,
20000(.071)t ≤ 500(12)
1420t ≤ 6000
t = 4.2
Hence, Her loan is 4.2 years long to the nearest tenth of a year.
To learn more about compound interest, refer to:
brainly.com/question/12325365
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Find the slope of the line that passes through the points (-6,-2) and (-7,2)
Answer:
-4
Step-by-step explanation:
the steps are in the pic above
Keisha had $54 when she went to a bookstore. She
had $12 left after buying some books. Which
equation can be used to find a, the amount Keisha
spent on books?
54 - a = 12
B
a - 54 = 12
a +54 = 12
12 + 54 = a
please help me thank you
Answer:
7.2 yds²
Step-by-step explanation:
6 × 1.2
7.2 yds²
Last year the depth of the river was 4.2 feet deep.
This year it dropped 5%.
Find the depth of the river this year to cross it.
Answer:
3.15 ツ
Step-by-step explanation:
Plz help me well mark brainliest if correct!!...
Answer:
You should stick with option D
ANSWER ASAP DONT SEND A FILE WHATS THE RULE TRANSFORMATION FOR THIS DILATION ???
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Someone, please help
Answer:
The answer is 45
Step-by-step explanation:
Answer:
I think 21,200,000,000
Step-by-step explanation:
because if you convert 4% in decimal it would be 0.04 then multiple
0.04 x 530,000,000,00 = 21,200,000,000
1) Simplify the product using the distributive property.
(x-2)(x+4)
Please help me answer this question
(2x+1)(x+6)
A=
B=
C=
9514 1404 393
Answer:
A = 2B = 13C = 6Step-by-step explanation:
In expanded form, the quadratic is ...
(2x +1)(x +6) = 2x(x +6) +1(x +6) = 2x² +12x +x +6
= 2x² +13x +6
Comparing this to ...
Ax² +Bx +C
we see that ...
A = 2B = 13C = 6Answer:
the answer is
a=2
b=13
c=6
Given the definitions of f (x) and g(x) below, find the value of f(g(-6)).
f(x) = x² – 2x +9
g(x) = -3x – 14
Answer:
17
Step-by-step explanation:
Tessellations
Determine whether the given figure tessellates the plane.
a. yes
b. no
Please select the best answer from the choices provided
Answer:
A. Yes
Step-by-step explanation:
I calculated it logically
Yes the given figure with rectangle tessellates the plane.
A rectangle cannot tessellate a plane by itself because it is not a regular polygon with equal angles and sides.
A rectangle can only tessellate the plane if it is combined with other shapes, such as squares or triangles, to form a regular tessellation.
Yes, the given figure tessellates the plane.
Hence, Yes the given figure tessellates the plane.
To learn more on Rectangles click:
https://brainly.com/question/20693059
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Julie's recipe for lemonade made 2 quarts. What did she need to
multiply each ingredient by to make 8 gallons?
Answer:
She needs 16 recipe to make 8 gallons
please help, will award brainliest
Answer:
First one
Step-by-step explanation:
Josh has a rewards card for a movie theater.
• He receives 15 points for becoming a rewards card holder.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 55 points to earn a free movie ticket.
Which inequality can Josh use to determine x, the minimum number of visits he needs
to earn his first free movie ticket?
Answer:
He would need to visit a minimum of 12 times
Step-by-step explanation:
2.) Combine like terms and simplify the expression: 2x +
5y+ 7x
Your answer
Answer:
9x + 5y
Step-by-step explanation:
Here, in 2x + 5y+ 7x, the 'like terms' are 2x and 7x, and the sum of these terms is 9x. Thus, 2x + 5y+ 7x becomes 9x + 5y.
During a sale, a store offered a 40% discount on a bed that
originally sold for $790. After the sale, the discounted price of
the bed was marked up by 40%. What was the price of the bed
after the markup? Round to the nearest cent.
Answer:
790 is 100% you get 40% discount, the money you pay is: 790 time 40 divided by 100
express the sum of 2x and y is multiplied by 5 in an algebraic expressions
Answer:
(2x + y)*5
Step-by-step explanation:
Translating the word problem into an algebraic expression, we have;
(2x + y) * 5
Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.
Simplifying further by opening the bracket, we have;
(2x + y)*5 = 10x + 5y
The sum of two numbers is 27. The larger of the two numbers is 7 less than triple the smaller number. Indicate the two numbers below.
Answer: 69
Step-by-step explanation: EZ
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Answer: B
Step-by-step explanation: Ez