The word BOOKKEEPER has 10 letters, but with repetitions. There are 30240 distinct permutations. On the circular table, with students of the same major sitting together, there are 1440 different ways to seat the students.
Explanation:The word BOOKKEEPER has 10 letters, but the letter O appears twice, the letter K appears twice, and the letter E appears three times. To find the number of distinct permutations, we need to divide the total number of permutations by the repetitions. So, we have 10!/(2!2!3!) = 30240 distinct permutations.
In the second question, we need to consider the students with the same major sitting together as a single entity. We can treat the circular table as a linear arrangement by fixing one student in a position and arranging the rest. So, the total number of different ways the students can be seated around the table is (3!2!5!) × 2! = 1440.
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What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
To calculate the total amount and interest earned on $6,500 at 6% simple interest for 25 years, you use the formula I = P × r × t, which gives you interest (I) of $9,750. Adding the interest to the principal, the total amount after 25 years is $16,250.
To calculate the total amount and the interest earned on $6,500 at a simple interest rate of 6% for 25 years, we can use the simple interest formula:
I = P × r × t
Where:
I is the interestP is the principal amount ($6,500)r is the annual interest rate (6%, or 0.06)t is the time in years (25)Using this formula:
I = $6,500 × 0.06 × 25
I = $9,750
The total amount after 25 years will be the principal plus the interest:
Total Amount = P + I
Total Amount = $6,500 + $9,750
Total Amount = $16,250
The interest earned on the investment after 25 years is $9,750.
How to find an area of a circumbscribed hexagon using the diameter?
Joylin receives a 50 gift card for the local movie theater for her birthday. She uses the card to purchase tickets and snacks for her family.if joylin spends $6more on tickets than she does on snacks, how much does joylin spend on tickets.
Answer:
c
Step-by-step explanation:
edge 2020
Please help me with this
Anyone know the answer?
the distance between bay town and oak glen is 175 miles. if the equation y=-x+175 represents the distance left to travel to oak glen, what does the domain represent? what is the domain?
a) time left to reach oak glen; x>0
b) distance left to reach oak glen; x>0
c) time it takes to travel oak glen; x>0
d) distance traveled since leaving bay town; x>0
The correct option is D, distance traveled since leaving bay town; x>0.
What is the domain and range of a function?The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
Given that the distance between bay town and oak glen is 175 miles. If the equation y=-x+175 represents the distance left to travel to oak glen.
Since the distance left to travel to oak glen can be 0 this will be when you reach Oak glen, while the minimum will be when the journey is just started and you haven't travelled even a single mile.
Therefore, the domain of the function is from 0 to 175, and the domain represents the distance traveled since leaving the bay town.
Hence, the correct option is D, distance traveled since leaving bay town; x>0.
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A test consists of 10
a. True
b. False questions. to pass the test a student must answer at least 9 questions correctly. if a student guesses on each question, what is the probability that the student will pass the test?
Trey's mom planted an 18 feet by 20 feet garden in his back yard. this new garden reduced the area of trey's backyard by 24%. which answer choice best represents the total area of the back yard
The garden area is given by:
[tex] A = (18) * (20)
A = 360
[/tex]
We are looking for the backyard area now.
For this, we make the following rule of three:
360 ---------------------> 24%
x -------------------------> 100%
From here, we must clear the value of x.
We have then:
[tex] x = (100/24) * (360)
x = 1500 ft ^ 2
[/tex]
Answer:
The total area of the back yard is:
[tex] x = 1500 ft ^ 2 [/tex]
Each letter of the alphabet is written on a piece of paper and put in a hat. If a piece of paper is chosen at random, what is the probability that it will be a vowel?
The number of favorable outcomes is .
The number of possible outcomes is .
So P(vowel) = , or about percent.
The probability of pulling a vowel out of the hat is [tex]\frac{5}{26}[/tex]
The number of favorable outcomes is [tex]5[/tex]
The number of possible outcomes is [tex]26[/tex]
The number of possible outcomes is the size of the sample space.
Since the sample space
[tex]S=\{\text{all the letters of the alphabet in the hat}\}[/tex]
then, the number of possible outcomes is
[tex]|S|=26[/tex]
The number of favorable outcomes is possible number of vowels that can be gotten from the hat. Since the set of vowels
[tex]V=\{a,e,i,o,u\}[/tex]
then, the number of favorable outcomes is
[tex]|V|=5[/tex]
The probability of pulling a vowel out of the hat
[tex]P(V)=\frac{\text{number of favorable outcomes}}{number of possible outcomes}=\frac{5}{26}[/tex]
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Elijah is going to spin a spinner 180 times. mc008-1.jpg He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?
Answer:
its C on Edge
Answer:c
Step-by-step explanation:
The path of a rocket ship is given by the parametric equations x(t)=3t and y(t)=4t^2+1, where t is the time in seconds after launch. Where is the ship after 10 seconds?
A.) (3,4)
B.) (3,5)
C.) (30,401)
D.) (30,501)
Graph BCD with vertices.
Compute the sales tax on the following transactions. An article retails for $37.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altogether?
The article will cost altogether:
$ 42.75
Step-by-step explanation:It is given that:
The retail price of the article is: $ 37.50.
Also, the article will hold a city tax of 6% and a federal excise tax of 8%.
Hence, the total percent tax on article is: 6+8=14%
This means that the cost price of the article is:
Retail Price of article+14% of retail price.
= 37.50+14% of 37.50
= 37.50+0.14×37.50
= 37.50+5.25
= 42.75
Hence, the article will cost: $ 42.75
Which graph represents g(x)=(x−3)2−5 ?
The graph of g(x) = (x-3)^2 - 5 is a parabola that opens upwards. The vertex is located at (3, -5) and the function values are negative when x is less than 3.
Explanation:The graph of the equation g(x) = (x-3)^2 - 5 is a parabola. The vertex of the parabola is located at the point (3, -5), and the parabola opens upwards because the coefficient of the quadratic term is positive. When x is less than 3, the function values are negative, and when x is greater than 3, the function values are positive.
The greatest common factor of 24and 36 is the least common multiple of a pair of numbers.which two number could they be ? Pls make sure to explain this specifically!!
A.3 and 6
B.4 and 6
C.8 and 9
D.8 and 12
Find the geometric mean of 125 and 5.
I am struggling with Parts B and D of this calculus question. I think that Parts A and C are OK. I wonder if Parts B and D require the graph that I drew for Part A?
1. In the figure, m DE = 106 degrees and m BC = 62 degrees. The diagram is not to scale.
What is m< A?
A) 44 degrees
B) 22 degrees
C) 75 degrees
D) 85 degrees
2. In the figure, m AB = 45 degrees and m CD = 23 degrees. The diagram is not drawn to scale.
What is the value of x?
A) 34 degrees
B) 56.5 degrees
C) 22 degrees
D)68 degrees
Can someone please check my work and tell me if I'm correct or not and explain.
The measure of the missing angles in both instances is; m∠A = 22 degrees and x = 34 degrees
How to find the angles in the triangle?
1) For question 1, the formula for the missing angle from triangle is;
m∠A = ¹/₂(∠DE - ∠BC).
Thus;
m∠A = ¹/₂(106 - 62).
m∠A = 44/2
m∠A = 22 degrees
2) To get the missing angle, we will use the formula;
x = ¹/₂(AB + CD)
This is because the measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
x = ¹/₂(45 + 23)
x = 34 degrees
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The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. if in the last game he made 77 assists, how many standard deviations is that from the mean? 1.36 standard deviations below the mean 2.71 standard deviations above the mean 1.36 standard deviations above the mean 2.71 standard deviations below the mean
Answer:
(B)
Step-by-step explanation:
It is given that The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7.
Also, in the last game he made 77 assists, therefore
[tex]77-58=19[/tex] assists away from the mean.
Thus, To get the number of standard deviation that 77 is from the mean, we get the z-score which is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Substituting the given values, we get
[tex]z=\frac{77-58}{7}[/tex]
[tex]z=\frac{19}{7}[/tex]
[tex]z=2.71[/tex]
Thus, there are 2.71 standard deviations above the mean.
Hence, option B is correct.
The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2-foot border of the floor visible on all sides. What should the length (the longer side) of the rug be?
Jon has 8 blue marbles and 4 red marble sin a bag. he took 1 marble from the bag na fthen a second marble without replacing the first one. assuming a red marble was selected first, what is the probability that jon selected a red marble both times
Find the value of each variable. If your answer is not an integer, express it in simplest radical form. Please explain how you got the answer! I can't figure it out.
In the given right triangle, x and y are 7 and 7√3 respectively.
What is the sine of an angle?Sine of an angle = [tex]\frac{OPPOSITE SIDE}{HYPOTENUSE}[/tex]
From the diagram, we can see that y is the opposite side to angle B while x is the adjacent side while 14 is the hypotenuse.
Sin α = opposite side/ hypotenuse
Sin 60° = y/14(given)
y = 14sin60
y=7√3
Cos α = adjecent side / hypotenuse
Cos60° = x/14(given)
x = 14cos60
x= 7
So, for the given right triangle x and y are 7 and 7√3 respectively.
Therefore, In the given right triangle, x and y are 7 and 7√3 respectively.
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Finish the pattern, 1, 2, 6, 22, __, __?
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
You play darts with a friend. The board is a circle with a 6-inch radius. The “Bull’s Eye” is a smaller circle in the center of the board with an 0.25-inch radius. You throw darts (small metal arrows) at the board. At the end of six weeks, she has thrown 500 darts. She hit the board every time and hit the Bull’s Eye 1 time If you throw 500 darts, how many times should you expect to hit the Bull’s Eye by random chance? Compare this result to your friend’s result. Is she a skilled player for hitting the bull’s eye or is the result of hers expected?
Isabel divided 32 by 8 and got 4. She says that if she divides 32 by 4,the quotient will be greater than 4. Is she correct? Explain.
PLS HELP ME ASAP WITH C!! (SKETCH A LINE THAT REPRESENTS THE DIFF SHAPES)
- ALSO INDICATE WHICH LINE IS WHAT FUNCTION
THANK YOU!!
(Random answers gets moderated!)
If a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2?
Answer:
52.8cm
&
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Step-by-step explanation:
which statement most accurately explains why x^5/x^2 is equal to x^3?
Write an equation of the graph:
y = |x| translated two units downward
y = |x| - 1 is the answer
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