Answer:
\(\pi \: d\)
Step-by-step explanation:
the circumference is equal to pi times diameter
(a) A company that makes crayons is trying to decide which colors to include in a promotional mini-box of crayons. The company can choose the mini-box colors from its collection of colors. How many mini-boxes are possible?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The number of color are possible \(\left n} \atop }} \right. C _r = 1215450\)
Step-by-step explanation:
From the question we are told that
The number of colors is r = 4
The sample size n = 75
The number of color that are possible can be mathematically evaluated as
\(\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}\)
substituting values
\(\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}\)
\(\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}\)
\(\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}\)
\(\left n} \atop }} \right. C _r = 1215450\)
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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1,664 flound ounces = gallons
Answer:
1,664 fluid ounces = 13 gallons
Step-by-step explanation:
6 minutes to 16 minutes
Answer:
um im not sure if you need to simplify but then the answer would be 3 minutes to 8 minutes.
A borrower owes $5,295 on a credit card with a 22.4% interest rate compounded monthly. What monthly payment should be made in order to pay off this debt in 12 months, assuming there are no more purchases made with the card?
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
$500.69
$508.10
$449.49
$496.60
Answer:
$ 496.60
Step-by-step explanation:
This is an ordinary annuity situation. Here is the formula to use:
PV = C ( 1 -(1+i)^-n ) / i
(ya just have to look up these finance equations)
PV = $ 5295 C = payment i = periodic interest in decimal = .224/12
periods = n = 12
Plugging in these values results in this:
5295 = C (10.66246)
C= $ 496.60
Complete the equation so it has infinitely many solutions.
18 + 3(3 + 5x) = 15x + .........
1. 18
2. 27
3. 32
Answer:
2)27
Step-by-step explanation:
18+3(3+5x)=15x+____
18+9+15x is still the same as 15x+____
so 27+15x is =15x+27
hope I helped mark as brainliest answer
Someone help me with this
a. Category with the greatest frequency is 20 - 24
b. 14 students
c. The percentage is 7%
What is frequency?Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.
From the information given, we have that;
a. The category with the greatest frequency is the one with most words spelt, we have;
20 - 24
b. The number of students that spelt 35 - 39 words is traceable to
14 students
c. If the total number of students is 200
Then, the percent of students in the 35 - 39 category is;
14/200 × 100/1
Multiply the values
7%
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There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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help me pls pls plshdhdvdvd
There are three times as many fiction books as non-fiction books in a library. 120 fiction and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library?
How do I work this out step by step?
Answer:
672
Step-by-step explanation:
If we call the number of non-fiction books as x, the number of fiction books would be 3x. Therefore: we can write the following equation:
3x - 120 = 2(x - 24) ← the 3x - 120 and x - 24 represents the new number of books
3x - 120 = 2x - 48
x - 120 = 48
x = 168 which means 3x = 3 * 168 = 504, therefore the total number of books is 168 + 504 = 672.
Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan?PLEASE EXPLAIN. I know interest =. principal times rate times time
Answer:
neat
Step-by-step explanation:
pls give answer I need to submit today
Answer:
\(a \: 5 \: 10 \: 15 \: 20 \: three \: of \: these \: numbers \\ b \: 2 < 4 < 6 < 8 < 10 < 12 < 14 < 16 < \\ 18 < 20 \: three \: of \: these \: numbers \\ sum \: of \: numbers < 40 \\ \\ numbers \\ 10 \\ 20 \\ 5 \\ 2\)
PLEASE HELp!!!
10x+12=28
Answer:
find the value of x
76* and 63*
Answer:
41
Step-by-step explanation:
76 + 63 = 139
180 - 139 = 41
Answer:
Step-by-step explanation:
76° + x° + 63° = 180°
x + 139 = 180
x° = 41°
Starting at 48th Street, Dylan rides his bike due east. He rides a distance of 122 m at speed 2.0 m/s. He then
stops for 5 min, turns around, and rides back to 48th Street at his same original speed. What is the total duration
of Dylan's trip in minutes? Round to two decimal places and express your answer in terms of minutes.
Answer: 7.03 minutes
Step-by-step explanation: 122/2= 61 times 2= 122 + 300= 422/60= 7.03 minutes
solve the following equation for a: -g + 3/4a = y
9514 1404 393
Answer:
a = (4/3)(y+g)
Step-by-step explanation:
Isolate 'a' term, then multiply by the reciprocal of its coefficient.
\(-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}\)
transformation of the graph of f(x)=x^3 for the graph of g(x)=-x^3
The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).
Missing numbers
, 9.8 , 9.1
Answer:
10.5
Step-by-step explanation:
Missing number, 9.8, 9.1
We see that each time it subtracts 0.7
We take
9.8 + 0.7 = 10.5
So, the missing number is 10.5
Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.
(a) Write a formula for the distance between the points (x,y) and (4,6)
(b) If the distance
between above points is 9 units, write an equation.
A 19 ounce soup costs $1.50. What is the unit price of the soup? $____ per ounce.
Given the word problem, we can deduce the following information:
1. A 19 ounce soup costs $1.50.
To determine the unit price of the soup, we divide the total cost by the number of ounces. So,
Unit Price = Total Cost/ Number of ounces
Unit Price = $1.50/19 ounces
Calculate
= $0.079/ounce
Therefore,the answer is $0.079 per ounce.
Since the mode is the most frequently occurring data value, it
Select one:
a. is always larger than the mean
b. can never be larger than the mean
c. must have a value of at least two
d. is always larger than the median
e. None of these answers is correct.
Any answer without justification will be rejected automatically.
The correct answer is option (e): None of these answers is correct.
The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.
The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.
A circle has center O(2, 3) and radius 10. Which of the following points is on the circle?
Answer:
(2,3) (4,2) (5,2) (1,4) (0,2)
Step-by-step explanation:
because all these points have something common to each other. Now pay attention in your class and stop cheating!!
Answer:
Step-by-step explanation:
eq. of circle is (x-2)²+(y-3)²=10²
now substitute the values of x and y
which satisfies the above eq.that point lies on the circle.
Alan has forgotten his 4-digit PIN code. He knows the second digit is even, and last digit is 7. How many different sets of 4 digits could it be?
Answer:
500
Step-by-step explanation:
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
The graph of � = ∣ � ∣ y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 9 99 units and to the right by 4 44 units. What is the equation of the new graph? Choose 1 answer: Choose 1 answer: (Choice A) � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 A � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 (Choice B) � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 B � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 (Choice C) � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 C � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 (Choice D) � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4y, equals, vertical bar, x, minus, 9, vertical bar, plus, 4 D � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4
An equation of the new graph is: A. y = ∣x - 4∣ - 9.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) + N
Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:
y = ∣x - 4∣ - 9
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find the value of t0 such that the following statement is true: P(-t0 ≤ t ≤ t0) = .95 where df = 15. Group of answer choices
The value of To from the t table will be 2.131
How to get the value?The following can be deduced from the information:
P(-t0 < t < t0) = 0.95
2*P(t < t0) - 1 = 0.95
P(t < t0) = 0.975
df = 15
From t-table (column 1-0.975 = 0.025) in the row 15. Therefore, t0 = 2.131.
In conclusion, the answer is 2.131.
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Someone help me solve this please, I'd appreciate it if you can walk me through the steps. If not, just answering it is okay :)
Answer:
c. -8
Step-by-step explanation:
Given:
\( \frac{4b \div c}{1 - a} \)
a = 5, b = 8, and c = 1
To evaluate, plug in the values into the expression given.
Thus:
\( \frac{4(8) \div 1}{1 - 5} \)
\( \frac{32 \div 1}{1 - 5} \)
\( \frac{32}{-4} \)
\( \frac{8}{-1} = - 8 \)
Michaela plans on installing heated tile in her kitchen. A diagram of the kitchen floor plan is shown below.
Calculate the area of the floor, to the nearest 10th, to determine how many square metres of tile Michaela will need to buy.
*Hint: Divide the shape into 2! You will need to use trig!
Check the picture below.
so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".
\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)