The minimum number of unique charms that must be available is 18
How to determine the minimum number of unique charms that must be available?The given parameters are
Offers = minimum of 30000
Different charms, r = 9
Represent the minimum number of unique charms that must be available with n
So, we have the following combination equation
nCr = Total offers
Apply the combination formula
So, we have
n!/(r!(n- r)!) = Total offers
Substitute the known values in the above equation
n!/(9!(n- 9)!) >= 30000
Multiply through by 9!
So, we have
n!/(n- 9)! >= 10886400000
Next, we divide the left-hand side by (n - 9)!
So, we have
n x (n - 1) x ..... x (n-8) >= 10886400000
Next, we continue solving by trial by error
After several trials, we have:'
n = 18
To check:
18 x (18 - 1) x ..... x (18 - 8) >= 10886400000
17643225600 >= 10886400000 --- true
Assume n = 17, we have
17 x (17 - 1) x ..... x (17 - 8) >= 10886400000
8821612800 >= 10886400000 --- false
Hence, the minimum number of unique charms that must be available is 18
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45% of 81.21 is a number between?
Answer:
4 and 40
Step-by-step explanation:
the answer is 36
45/100 multiplied by 81.21
What is the volume of this prism?
Answer:
The answer is 13 1/8ft3
Explanation:
Substitute into the formula:
Volume = 3 1/2 x 2 1/2 x 1 1/2
= 7/2 x 5/2 x 3/2
= 105/8
= 13 1/8 ft3
In the continental United States, the ratio of states that border an ocean to states that do not border an ocean is 7:9. How many of the states border an
ocean?
Worth 25 points
Answer:
23
Step-by-step explanation:
If Mary inspects every sixth calculator and Nancy inspects every fifth calculator, which calculator will be the first that they both inspect
Answer:
30th calculator
Step-by-step explanation:
The least common multiple of 6 calculators and 5 calculators is the calculator they both inspect
LCM of 6 and 5 = 30
30th calculator
Plz answer as soon as possible!
Identify all the real solutions of the graph below
Dividing (8-x³) by (2-x), the quotient is _
Step-by-step explanation:
........hopr it helpsssssss
Subtract the fractions. Write each difference in simplest form.
8/9 - 5/6 =
Answer:
1/18
Step-by-step explanation:
Change the denominators to 18 to make like denonminators (make sure to multiply the top)
(16/18 - 15/18)
1/18
Answer:
1/18
Step-by-step explanation: 8x6=48 5x9=45 48-45= 3 9x6=54 3/54= 1/18
If CDE congruent to GHF, solve for x
Answer: B- 17
Step-by-step explanation: I did this with my class and 17/B was the correct answer.
Please help! It’s worth 30 points!
Answer:
Step-by-step explanation:
Answer:
0.430
Step-by-step explanation:
thank you so much i really appreciate
how do I solve this math question?
Answer:
[tex] - \frac{sec^{2}x }{2 \tan (\frac{3}{2} ) x} [/tex]
Step-by-step explanation:
use chain rule on
[tex] \frac{d}{dx} \frac{1}{ \sqrt{ \tan\: (x)} } [/tex]
Let u = tan x.
Use power rule
[tex] \frac{d}{du} {u}^{n} = nu ^{n - 1} [/tex]
[tex] - \frac{1}{2 \tan( \frac{3}{2}x ) } ( \frac{d}{dx} \tan \: (x) )[/tex]
Use Trigonometric Differentiation: the derivative of tan x is sec² x.
[tex] - \frac{ \sec^{2} x}{2 \tan( \frac{3}{2} ) x} [/tex]
A company has 12,247 customers they extend credit to, how many total A/R will they have (just type the number, no commas)
Answer:
12247
Step-by-step explanation:
Accounts receivables A/R are the amounts that will be collected from customers to whom goods are sold on credit.
Now, since there are 12,247 customers to whom the credit has been extended to, there will be equal number of 12,247 accounts receivable in their books and a single GL (General ledger) will be there representing and showing the total amount due from these 12,247 customers.
that is, the company will have to make 12,247 accounts receivable accounts, each having the names of the respective customers.
Write the equation of the line in either point-slope form or slope-intercept form.
Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).
Use the drop-down menus to select the appropriate values in the equation.
y = _ x + _
Answer:
here you go hope this helps
Step-by-step explanation:
y= -3x + -4
Answer:
answer in picture
Step-by-step explanation:
The sum of 1 2 and 1 5 is between 1 2 and 1. YES OR NO?
Answer:
No
Step-by-step explanation:
because the sum 12+15= 27
and 27 not come between 12 & 1
Find each angle and arc measure
Answer:
mpsr
Step-by-step explanation:
round 36.439 to the nearest 10
Answer:40
Step-by-step explanation:
Answer:
36.4 is the answer36.4 is the answerStep-by-step explanation:36.4 is the answerStep-by-step explanation:Hope this is helpfull6x = 2y - 7 what is the terms
Answer:
y = 3x+7/2, and x = (2y-7)/6
Step-by-step explanation:
Plz help it’s due in 5 min...
Which table represents a direct proportion between the number of tickets sold and the total cost?
Answer:
The answer is D
Step-by-step explanation:
y=kx
9=k
Plug it in they are all true.
The table represents a direct proportion between the number of tickets sold and the total cost will be D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
For the linear relationship, the slope will remain constant.
Let's check all the options, then we have
A. The slope is given as,
m = (2 - 0) / (1 - 0) = (4 - 2) / (3 - 1)
m = 2 ≠ 1
B. The slope is given as,
m = (4 - 0) / (2 - 0) = (6 - 4) / (4 - 2)
m = 2 ≠ 1
C. The slope is given as,
m = (7 - 5) / (2 - 1) = (9 - 7) / (3 - 2) = (11 - 9) / (4 - 3)
m = 2 = 2 = 2
The y-intercept is 3.
D. The slope is given as,
m = (18 - 9) / (2 - 1) = (27 - 18) / (3 - 2) = (36 - 27) / (4 - 3)
m = 9 = 9 = 9
The y-intercept is zero.
The table addresses an immediate extent between the number of tickets sold and the all-out cost will be D.
More about the linear equation link is given below.
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How can I find what the question is looking for?
Answer:
m<N = 130°
m<K = 50°
x = 28
Step-by-step explanation:
angle N and angle K are supplementary so the sum of their measures is 180°
4x + 18 + 2x - 6 = 180 add like terms
6x + 12 = 180 subtract 12 from both sides
6x = 168 divide both sides by 6
x = 28 to calculate the measurements of angle N and K replace x with 28
N = 4x + 28 so 4 × 28 + 18 = 130°
N = 2x - 6 and 2×28 - 6 = 50°
Can I get help with this???
Answer:
168
[tex]3 \times 4 \times 10 + 3 \times 4 \times 4[/tex]
Solve the following equations for x
13−(2x+2)=2(x+2)+3x
Answer:
x = 1
Step-by-step explanation:
Answer:
[tex]x = 1[/tex]
step By Step Explanations:
1) Remove parentheses.
[tex]13 - 2x - 2 = 2(x + 2) + 3x[/tex]
2) Simplify 13 - 2x - 2 to -2x + 11.
[tex] - 2x + 11 = 2(x + 2) + 3x[/tex]
3) Expand.
[tex] - 2x + 11 = 2x + 4 + 3x[/tex]
4) Simplify 2x + 4 + 3x to 5x + 4.
[tex] - 2x + 11 = 5x + 4[/tex]
5) Add 2x to both sides.
[tex]11 = 5x + 4 + 2x[/tex]
6) Simplify 5x + 4 + 2x to 7x + 4.
[tex]11 = 7x + 4[/tex]
7) Subtract 4 from both sides.
[tex]11 - 4 = 7x[/tex]
8) Simplify 11 - 4 to 7.
[tex]7 = 7x[/tex]
9) Divide both sides by 7.
[tex]1 = x[/tex]
10) Switch sides.
[tex]x = 1[/tex]
Therefor, the answer is x = 1.
If the short diagonal of a quadrilateral bisects the long diagonal, then the quadrilateral is a kite.
A. Always
B. Sometimes
C. Never
which of the following systems of linear equations has no solution?
Answer:
C?
Step-by-step explanation:
Because there is no x I think.
Points D and E are midpoints of the sides of triangle
ABC. The perimeter of the triangle is 48 units.
What is the value of t?
2
3
6
8
*ANSWER IS 2 just took the test*
Answer:
A. 2
Step-by-step explanation:
From the diagram, it is indicated;
AD = DB = 3t,
AC = 7t + 6
CE = EB = 4t
Perimeter = 48 units
Perimeter = AD + DB + AC + CE + EB
Plug in the values
48 = 3t + 3t + 7t + 6 + 4t + 4t
Add like terms
48 = 21x + 6
48 - 6 = 21x + 6 - 6
42 = 21x
42/21 = 21x/21
2 = x
x = 2
Can someone help me with this problem I need to answer it to move on :(
help plzzzzzz!!!!!!!
Fourteen percent of the town’s population are above the age of 65. If there are about
320 residents over the age of 65, then what is the town’s population?
Answer: 2285
Step-by-step explanation:
320 ÷ 14% = 2285
A company that manufacturers deep freezers has developed a new formula of refrigerant, the substance used to cause cooling in refrigerators and freezers. To determine if freezers using the new formula of refrigerant are more efficient than those using the company's original formula, they conducted an experiment with two identical freezers. The first freezer was cooled using the new formula, and the second freezer was cooled using the original formula. A gallon of water was placed in each freezer, and they measured the time required for the water to turn to ice. Match the terms with the correct descriptions in the context of this scenario.
The answer to your question is :
Explanatory variable <--------> The first freezer
Response variable <---> The time required for the water to turn into ice in each freezer
control group <------------------> The second freezer
An Explanatory variable in an experiment is the variable that has been changed/manipulated by the researcher for the purpose of the experiment/research it is an independent variable ( as seen in first freezer )
A Response variable is the outcome of an experiment that serves as an evidence of the effect of the explanatory variable. it is a dependent variable
The control group is the made up of the refrigerators whom are not cooled using the new formula of refrigerant ( i.e. the second freezer )
hence the explanatory variable is the first freezer, the response variable is the time required for the water to turn into ice in each freezer, while the control group is the second freezer.
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Answer:
Good luck to whoever figures out the last one.
Step-by-step explanation:
A pharmaceutical company is developing a new oral medication for the treatment of psoriasis, a skin disease marked by red, itchy, scaly, patches. Describe how you could design a controlled experiment to test the effect of the medication. How could you keep participants from knowing whether or not they were in the treatment group?
Let's say we had a sample of 100 people. We'll split them into two equal groups of 50 each. The two groups will be the treatment and control groups. The treatment group, aka experimental group, is where the actual drug is given. The control group is where the fake drug is given. People in the control group must not know the pill is fake. For more info, check out the placebo effect. In short, this is when a person takes a fake pill and thinks they get better, and that positive mentality helps them actually get better.
If both the treatment and control groups improve (on average) together, then that means the fake pill is just as good as the real thing. Consequently, it means the real pill isn't effective at all. If on the other hand the experimental group does better overall compared to the control group, then we can see that the real pill is doing what it's intended to do. Of course, there are a lot of complicated factors involved, as there is with anything dealing with medicine. I haven't mentioned anything about side effects or things of that nature. In this simplified viewpoint of the world, we're only considering the one factor of whether or not the drug clears up the psoriasis on the skin.
To make things fair, it's best to randomly generate numbers so that you randomly assign people into each group. That way you have representative samples. Also, when drawing the sample of 100 people, make sure that's as random as possible to help represent the population as best as possible. The fact that the people in the control group not knowing that they are taking the fake pill means we have a single blind experiment. A double blind experiment is when even the researchers are not sure who is taking the real pill vs the fake pill. Double blind experiments are encouraged to prevent the researcher's bias from affecting the results.
To keep participants from knowing whether or not they are in the control group, the common solution is to provide a sugar pill. The pill will not cause any side effects and will not cause any improvements to health. It's simply sugar. To the participant, it seems like the real thing since they can't taste the difference or detect anything seems different.
Answer:
Randomly select a sample of people with psoriasis. Randomly assign them to one of two groups. Give one group the treatment, and withhold it from the other group. Give both groups similar looking pills, so neither knows which group they are in.
Crazy fact: Wanna know something about M&M's the candy
you could do damage to your dental health. You'll also increase your chances of developing chronic conditions like diabetes or hypertension
Answer:
well m&m are not even that good any way