There are 462 different ways can be done for a promotional program.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
Selection of menu, food, clothes, subjects, the team are examples of combinations.
The formula for combinations is: nCr = n!/[r! (n-r)!]
nCr represents the number of combinations from “n” objects taken “r” at a time.
given that
select 6 restaurants from 11.
nCr = n!/[r! (n-r)!]
we are looking at a Combination of 11 things takes 6 at a time, or 11C6
11C6=11!/(6!5!)
11C6=11×10×9×8×7 / 5×4×3×2×1.
11C6=55440 / 120
11C6=462
Thus, there are 462 different ways in which the manager can choose 6 restaurants at a time out of 11.
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Find all possible values of each expression. Suppose 3
The inequality that describes the possible values of the expression is:
[tex]0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}[/tex]
What is the lower bound of values of the expression?The expression is given by:
[tex]\frac{b}{3a} - \frac{a}{3b}[/tex]
To find the lower bound, we try to see when the expression is negative, hence:
[tex]\frac{b}{3a} - \frac{a}{3b} < 0[/tex]
[tex]\frac{b}{3a} < \frac{a}{3b}[/tex]
Applying cross multiplication and simplifying the 3's, we have that:
[tex]b^2 < a^2[/tex]
From the bounds given, this expression will never be true, at most they can be equal, when:
a = b = 4.
Hence the lower bound of values of the expression is of 0.
What is the upper bound of values of the expression?The expression is a subtraction, hence we want to maximize the first term and minimize the second.
Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:
Maximize b, hence b = 5.Minimize a, hence a = 4.Then:
[tex]\frac{b}{3a} - \frac{a}{3b} = \frac{5}{12} - \frac{4}{15} = \frac{25 - 16}{60} = \frac{9}{60}[/tex]
Hence the bounds are:
[tex]0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}[/tex]
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Help asap i will give brainliest
Answer:
12
Step-by-step explanation:
(4*6)/2=12
Answer:
24 units
Step-by-step explanation:
multiply the 2 sides you'll get 24 units
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Trout Street and Salmon Street are the same distance from the boardwalk to the intersection of 1st Street, Trout Street, and Salmon Street as shown in the diagram. Abby walks down 1st Street and stops when she reaches the boardwalk.
How far of a walk does she have to get to Trout Street?
Diagram shows triangle with base side labeled boardwalk and 2 legs labeled Trout Street and Salman Street. Segment labeled 1st street drawn from top vertex to base side is at right angle. Distance between segment and bottom right vertex is 800 yards.
Abby's walk to Trout Street is
yards.
When Abby's walk to Trout Street is 800 yards.
Distance is referred to as the length of a moving particle's real path. The shortest distance between a body's initial and final positions is referred to as displacement.
The distance between the segment and bottom right vertex is 800 yards.
The 1st street, Trout Street, and Salmon Street intersect at a point G.
Now, Trout street and Salmon street are at the same distance from the boardwalk.
From the figure, the distance between the boardwalk and salmon street is 800 yards.
Now the 1st street is perpendicular to line AE which is the distance between Trout street and Salmon street and hence AC = CE.
Therefore, When Abby's walk to Trout Street from the boardwalk is 800 yards.
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A box of juice has 5 cups of pineapple juice and 2 cups of orange juice. Write the ratio of cups of pineapple juice to the number of cups of orange juice. WRITE THE RATIO IN THREE DIFFERENT WAYS. *
For the triangles described, which of the following statements must be true? In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°. (1 point) ∠Q≅∠F ∠R≅∠F DE¯¯¯¯¯¯¯¯≅PQ¯¯¯¯¯¯¯¯ ∠E≅∠Q
Answer:
∠Q≅∠F
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.
Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.
Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Therefore:
DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q
Order the numbers from greatest to least value.
1.444.
29|13
0.875
47|45
Answer:
0.875, 47/45, 1.444, 29/13
Step-by-step explanation:
0.875 is the least then 47/45 is 1.0444 as a decimal then 1.444 then 29/13 is 2.23 as a decimal hope that helps
How do I compare decimal numbers
Answer: You do the same thing that you do for whole numbers but with a decimal
Step-by-step explanation: 3.76 > 2.09 because of the first number
Write the equation of the line in point-slope form y - y1 = m ( x - x1). From the two given points ( -2, 5 ) and ( 3, -1 ). (hint: find m and the point)
Answer:
y-5=-6/5(x+2)
Step-by-step explanation:
m=(5+1)/(-2-3)
m=6/-5
Someone help meee!
Solve 4(x-3)-2(x-1)>0
Answer:
x>5
Step-by-step explanation:
1. Distribute.
4(x-3)-2(x-1)>0
4x-12-2(x-1)>0
2. Distrubute furthermore
4x-12-2(x-1)>0
4x-12-2x+2>0
3. Add the numbers
4x-12-2x+2>0
I need help please solve for x given that TSU ~ FSG
Answer: X = 4
Step-by-step explanation:
TS/FS = SU/SG
3x-2/5 = 6/3
3(3x-2) = 6* 5
9x - 6 = 30
9x -6 + 6 = 30 + 6
9x = 36
x = 36/ 9
x = 4
Answer:
[tex]x = \frac{9}{6}[/tex]
Step-by-step explanation:
The first step is figuring out what the scale factor is
since [tex]2 \overline{\rm US} = \overline{\rm GS}[/tex] we know the scale factor is two
The second step is setting up the equation then solving the equation
[tex]2(3x -5) = 5[/tex]
[tex]6x - 4 = 5[/tex]
[tex]6x = 9[/tex]
[tex]x = \frac{9}{6}[/tex]
It takes Sara 1/2 day to make a birdhouse. How much of the birdhouse will be built after 2/5 day?
Answer:
80%
Step-by-step explanation:
Help :)
John, Kris, and Monica are playing catch with a frisbee. They are standing in a triangle, as shown below.
Answer:what are we supposed to answer give brainl and I’ll come back
Step-by-step explanation:
PLEASE HELP ME!!!!!Invasive species spread to new environments by all of the following ways except through
A. Cargo ships
B. Wood products
C. Pet trade
D. Quarantine
E. Ornamental plants
Eva made sand art bottles to sell at her school's craft fair. First, she bought 4 kilograms of sand in different colors. Then, she filled as many 100-gram bottles as she could. How many sand art bottles did Eva make?
Answer: Eva made 40 sand art bottles
Step-by-step explanation:
1 kilogram =1000 grams
she bought 4000 grams
4000/100 =40
she filled 40 bottles
Can somebody help me if you know what this is
Answer: A
Step-by-step explanation:
cause it is
I am very stuck on theis question. What is 4 times 4,000
Answer:
16000
Step-by-step explanation:
4*4 is 16 4*0 is 0 4*0
Answer:16000
Step-by-step explanation: basic calculator math
I'm big-brained lol :) have fun besties ace the quizzes!!
Mookie, Gandalf, and O’Malley are selling tickets to a play. Gandalf sold five less than three times the number of tickets Mookie sold. O’Malley sold one more than seven times the number of tickets Mookie sold. The number of tickets O’Malley sold is four more than twice the number of tickets that Mookie and Gandalf sold together. How many tickets did they sell in total?
9514 1404 393
Answer:
73
Step-by-step explanation:
Let m, g, o represent the numbers sold by Mookie, Gandalf, and O'Malley, respectively. Then the relations between these values are ...
g = 3m -5
o = 7m +1
o = 4 +2(m +g)
Equating expressions for o, we have ...
7m +1 = 4 +2(m +g)
Substituting for g, we have ...
7m +1 = 4 +2(m +(3m -5))
7m +1 = 8m -6
7 = m . . . . . . . . add 6-7m
g = 3·7 -5 = 16
o = 7·7 +1 = 50
The number sold in total is ...
m + g + o = 7 +16 +50 = 73
They sold 73 tickets in total.
GUYS PLEASE HELP ME OUT WITH THIS ONE QUESTION.
Answer: A&R is X-3 R&E are 5 B&C are parallel
Step-by-step explanation:
3(x+2)
3x+6
=18
=18
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide only one side by a non-zero constant
(Choice C)
C
Rewrite one side (or both) by combining like terms
(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B, Checked)
B
No
Answer:
(x = 4, x = 4)
Step-by-step explanation:
Gonna solve it but you need to do the rest, the answers are all in the solution.
Expand the following:
(3 (x + 2) = 18, 3 x + 6 = 18)
3 (x + 2) = 3 x + 3 2:
((3 x + 3 2) = 18, 3 x + 6 = 18)
3×2 = 6:
(3 x + 6 = 18, 3 x + 6 = 18)
Subtract 6 from both sides:
(3 x + (6 - 6) = 18 - 6, 3 x + 6 = 18)
6 - 6 = 0:
(3 x = 18 - 6, 3 x + 6 = 18)
18 - 6 = 12:
(3 x = 12, 3 x + 6 = 18)
Divide both sides of 3 x = 12 by 3:
((3 x)/3 = 12/3, 3 x + 6 = 18)
3/3 = 1:
(x = 12/3, 3 x + 6 = 18)
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
(x = 4, 3 x + 6 = 18)
Subtract 6 from both sides:
(x = 4, 3 x + (6 - 6) = 18 - 6)
6 - 6 = 0:
(x = 4, 3 x = 18 - 6)
18 - 6 = 12:
(x = 4, 3 x = 12)
Divide both sides of 3 x = 12 by 3:
(x = 4, (3 x)/3 = 12/3)
3/3 = 1:
(x = 4, x = 12/3)
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
Answer: (x = 4, x = 4)
* You see a pair of jeans on sale for 10% off the regular price of $50. You have a credit card with a 1396 interest rate. If you buy the jeans today with the credit card and pay them off after two months, are you paying more or less than the regular $50 price for them? Please explain your decision and SHOW your calculations.
The coefficient of determination of a set of data points is 0.93 and the slope of the regression line is -5.26. Determine the linear correlation coefficient of the data.
Answer:
- 0.964
Step-by-step explanation:
Given that Coefficient of determination (R^2) = 0.93
Slope of regression line = - 5.26
The linear correlation Coefficient =?
The Coefficient of determination (R^2) is used to obtain the proportion of explained variance of the regression line. It is the square of the linear correlation Coefficient (R).
Hence. To obtain the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2
Therefore,
R = √R^2
R = √0.93
R = 0.9643650
R = 0.964
However, since the value of the slope is negative, this depicts a negative relationship between the variables, hence R will also be negative ;
Therefore, R = - 0.964
The linear correlation coefficient of the data is: -0.96
Recall:
Coefficient of determination = R²R represents the linear correlation coefficient.A negative slope of regression line suggests relationship between variables will be negative, hence linear correlation coefficient will be negative.Thus, given:
Coefficient of determination of a set of data points = 0.93
Slope of the regression line = -5.26
Therefore:
R² = 0.93
R = √0.93
R = 0.96
Since the slope the regression line is negative, R will be negative in this case.
Therefore, the linear correlation coefficient of the data is: -0.96Learn more about linear correlation coefficient on:
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A scale model of a water tower holds 1 teaspoon of water per inch of height. In the model, 1 inch equals 1 meter and 1 teaspoon equals 1,000 gallons of water.
How tall would the model tower have to be for the actual water tower to hold a volume of 20,000 gallons of water?
A. 2 inches tall
B. 4 inches tall
C. 20 inches tall
D. 200 inches tall
Answer:
20 inches tall
Step-by-step explanation:
If 1 inch equals 1 meter and 1 teaspoon equals 1,000 gallons of water, the model would have to be 20 inches tall to hold a volume of 20,000 gallons of water.
Find the value of h in the parallelogram below.
The correct answer is h equals 5
Easy question 20 POINTS
Answer: 11 over 9 power by 2
Step-by-step explanation:
A 0.8-liter bottle of Mexican wine costs 90 pesos. At that price, how much would a half-gallon jug of the same wine cost in dollars?
A half-gallon jug of the same wine would cost $10.82
How much would a half-gallon jug of the same wine cost in dollars?The given parameter is:
0.8-liter bottle = 90 pesos
As a general rule of conversion
1 liter = 0.26 gallon
This means that:
0.8 liter = 0.8 * 0.26 gallon
Evaluate
0.8 liter = 0.208 gallon
Substitute 0.8 liter = 0.208 gallon in 0.8-liter bottle = 90 pesos
0.208 gallon = 90 pesos
Divide both sides by 0.208
1 gallon = 432.69 pesos
Divide both sides by 2
0.5 gallon = 216.35 pesos
1 peso = 0.050 United States Dollar
So, we have:
0.5 gallon = 216.35 * $0.05
Evaluate
0.5 gallon = $10.82
Hence, a half-gallon jug of the same wine would cost $10.82
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A robots height is 1 meter 20 centimeters.How tall i the robot in millimeters
Answer:
1200 millimeters
Step-by-step explanation:
1 meter in millimeters should be 1000
And 20 centimeters should be 200 millimeters
Ms. Baetz will receive a 25 % discount off her cellphone bill . Her monthly cell phone plan charges a flat monthly fee $30.00 plus $0.10 per minute . If m.s baetz talks on her call phone for 200 minutes during the first moth of cell phone service , what will be the amount of her first cell phone bill ?
A. 50.00
B. 37.50
C. 42.50
D. 25.00
Answer:
$50
Step-by-step explanation:
How much does Beatriz earn per hour?
How much would Beatriz earn if she worked 7 hours?
Answer:
$52.50
Step-by-step explanation:
She makes $7.50 an hour multiple that by 7 hours and you get $52.50
it's really easy Pleaseplease answer this I'm desperate please ill give brainliest to the first right answer
Answer:
It should be 12 i dont know ,,I learned it in class but my teacher told me that there are different types of this math so I don’t know if this is the one I learned
Step-by-step explanation:
-16 + the quotient of a number and 2 is 35
Answer:
Step-by-step explanation: