Answer:
22\(\pi\)
Step-by-step explanation:
Circumference = diameter * pi = 22 * pi
english has 26 different letters. how many consecutive words have to be selected in a book to have at least 5 that start with the same letter?
The words need not be English language words 142506
What is permutation and combination?
A set of elements can be divided into subsets in two different ways: combination and permutation.
The components of the subset may be arranged in any order when combined. The components of the subset are listed in a permutation in a certain order.
If the word has 5 different letters then it is just 26-choose-5 or (26/5).
If the word has 4 different letters then it is just 26-choose-4 or (26/4)
have 4 options to choose which letter to duplicate twice.
This gives = 4*(26/4)
If the word has 3 different letters then it is just 26-choose-3 or (26/3).
you duplicate one of the three letters 3 times - 3 options for that, or you choose 2 letters and duplicate each one twice - again 3 options. In total this gives = 6*(26/3).
If the word has 2 different letters then it is just 26-choose-2 or (26/2).
The sets of 2 different letters and duplicate either one of the letters 4 times - 2 options; or duplicate one letter 2 times, and the other 3 times - again 2 options. In total this is = 4*(26/2).
The word has just 1 distinct letter you have = (26/1).
we get :
N = (26/5)+ 4*(26/4) + 6*(26/3) + 4*(26/2) + (26/1)
= 142506
The words need not be English language words = 142506
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a new car is purchased for 18500 dollars. the value of the car depreciates at 8% per year. to the nearest tenth of a year, how long will it be until the value of the car is 9100 dollars?
Answer:
8.5 years
Step-by-step explanation:
You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.
ValueThe depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...
value = (initial value) × (1 - (depreciation rate))^t
where the rate is "per year" and t is in years.
Applicationvalue = 18500·(1 -0.08)^t
9100 = 18500·0.92^t . . . . fill in the value of interest
9100/18500 = 0.92^t . . . . divide by 18500
log(91/185) = t·log(0.92) . . . . take logarithms
t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509
It will be about 8.5 years until the value is $9100.
__
Additional comment
The graph shows the solution to ...
18500·0.92^t -9100 = 0
We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.
if the 90% confidence limits for the population mean are 45 and 55, which of the following could be the 99% confidence limits a) [48, 55] b) [49, 53] c) [42, 58] d) [46, 51] e) [49, 51] f) none of the above
The 99% confidence limit will be option B which is (45, 55)
90% confidence limits for the population mean are (46,54)
mean = 46+54 / 2 = 50.
the margin of error E = 54-46/2 = 4
For 90% Confidence Z- Critical value is = 1.645
But the margin of error
E = ZS/√n
4=(1.645)S/√n
S/√n = 4 / 1.645
= 2.4316
For 95% confidence Z-critical value is 1.96
A 95% confidence interval is = mean ± E
(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316
= 50+ 4.7660
= 45.2340, 54.7660
= (45, 55)
Hence the correct option is B which is (45, 55) as the 99% confidence limit.
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Write the equation of the graph.
paul and tom both commute to work. paul's commute on the train takes 15 minutes more than one third as many minutes as tom's commute by car. it takes paul 45 minutes to get to work. write an equation to determine how many minutes it takes tom to get to work.
It takes Tom 90 minutes to reach at the work.
Given,
Total time taken by paul = 45 minutes
Time taken by tom = x
According to the question,
the equation will be -
45 = (1/3)x + 15
On solving,
45 - 15 = (1/3)x
30 = (1/3)x
x = 90 minutes
So, it takes, tom 90 minutes to reach
What is a linear equation?An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
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Prove That There Are No Integers, A,B∈Z Such That A2=3b2+2015.
Step 1: Suppose, for the sake of contradiction, that there are integers A and B such that A2 = 3B2 + 2015. Let N = A2. Then, N ≡ 1 (mod 3).
Step 2: By the Legendre symbol, since (2015/5) = (5/2015) = -1 and (2015/67) = (67/2015) = -1, we know that there is no integer k such that k2 ≡ 2015 (mod 335).
Step 3: Let's consider A2 = 3B2 + 2015 (mod 335). This can be written as A2 ≡ 195 (mod 335), which can be further simplified to N ≡ 1 (mod 5) and N ≡ 3 (mod 67).
Step 4: However, since (2015/5) = -1, it follows that N ≡ 4 (mod 5) is a contradiction.
Therefore, there are no integers A, B such that A2 = 3B2 + 2015.
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A shipping company uses a formula to determine the cost for shipping a package: c = 2.79 + 0.38p, where c is the cost of shipping and p is the number of pounds. What is the cost of shipping a package that weighs 8 pounds?
Using the formula they gave us:
Cost of shipping = 2.79 + 0.38(8)
Cost of shipping = 2.79 + 3.04
Cost of shipping = 5.83(currency unit)
Total net shipments of aluminum (in billions of pounds) are approximated by g(x) = 15.3 + 2.889 ln(x + 1), where x = 0 corresponds to 1990.
(a) How many pounds of aluminum were shipped in 2003?
(b) How many pounds of aluminum were shipped in 2009?
a) Approximately 22.938 billion pounds of aluminum were shipped in 2003.
b)Approximately 23.946 billion pounds of aluminum were shipped in 2009.
To find the total net shipments of aluminum in a given year, we need to substitute the corresponding value of x into the equation g(x) = 15.3 + 2.889 ln(x + 1).
Given:
x = 0 corresponds to 1990
a) To find the total net shipments of aluminum in 2003, we need to find the value of x that corresponds to that year. Since x = 0 corresponds to 1990, we can calculate the value of x for 2003:
x = 0 + (2003 - 1990) = 13
Substituting x = 13 into the equation:
g(13) = 15.3 + 2.889 ln(13 + 1)
Using a calculator, we can evaluate this expression:
g(13) ≈ 15.3 + 2.889 ln(14) ≈ 15.3 + 2.889 * 2.639 ≈ 15.3 + 7.638 ≈ 22.938
Therefore, approximately 22.938 billion pounds of aluminum were shipped in 2003.
b) To find the total net shipments of aluminum in 2009, we need to find the value of x that corresponds to that year. Since x = 0 corresponds to 1990, we can calculate the value of x for 2009:
x = 0 + (2009 - 1990) = 19
Substituting x = 19 into the equation:
g(19) = 15.3 + 2.889 ln(19 + 1)
Using a calculator, we can evaluate this expression:
g(19) ≈ 15.3 + 2.889 ln(20) ≈ 15.3 + 2.889 * 2.995 ≈ 15.3 + 8.646 ≈ 23.946
Therefore, approximately 23.946 billion pounds of aluminum were shipped in 2009.
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Consider the following data set
5
6
7
15
22
Be careful with this question tick every correct option note that the 50 th percentile would be the middle numbe a. the mean is 11.00 b. the mean is 14.70 c. The median (the 50 th percentile) is 7.00 d. The median (the 50th percentile) is 10.75
a. The mean is 11.00 (correct)
b. The mean is 14.70 (incorrect)
c. The median (the 50th percentile) is 7.00 (correct)
d. The median (the 50th percentile) is 10.75 (incorrect)
5, 6, 7, 15, 22
The mean is calculated by adding up all the numbers and dividing by the total count:
Mean = (5 + 6 + 7 + 15 + 22) / 5 = 11
So option a. The mean is 11.00 is correct.
The median (the 50th percentile) is the middle number when the dataset is arranged in ascending order. Since we have an odd number of values, the median is the middle value itself.
So option d. The median (the 50th percentile) is 10.75 is incorrect.
The median of the dataset is 7 since it is the middle number when the dataset is arranged in ascending order.
So option c. The median (the 50th percentile) is 7.00 is correct.
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a salesman receives a fixed salary of $500 per week. in addition, he receives a 12% commision on his weekly revenue after the first $1000. write the formula that describes how his weekly salary s depends on his weekly revenue r.
The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.
Step-by-step explanation:
The formula that describes how the salesman's weekly salary s depends on his weekly revenue r is:
s = $500 + 0.12(r - $1000)
In this formula, s represents the salesman's total weekly salary, which includes both the fixed salary of $500 and the commission based on his weekly revenue. r represents the salesman's weekly revenue.
The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.
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How do I write 3(x+2) in the simplest form
Answer: 3x + 6
Step-by-step explanation: PLEASE MARK ME AS BRAINLISTI AND HAVE A GREAT DAY!!!
Answer:
3x+6
Step-by-step explanation:
PLS HELP WILL MARK U BRAINLIEST!! NO FAKE ANSWERS
Answer:
C
Step-by-step explanation:
C is not true
\(pi value \)
Answer:
≈ 3.14
Step-by-step explanation:
π, or pi, is an irrational number. We mathmaticians round it to 3.14.
Answer:
pi is approximately 3.14.
Step-by-step explanation:
But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)
HELP PLEASE! 13 POINTS!! {simplify (3x - 8) + (2x + 5) - (4x - 8).}
(A) x + 21
(B) 9x - 11
(C) 9x + 5
(D) x - 11
(E) x + 5
does anything in the plot of the semimajor axis versus the period change when the eccentricity is changed?
Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.
What is eccentricity?In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.
Here,
In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.
As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.
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Six students were asked to list their math quiz scores. Their responses are listed below
Student
Adam
Buford
Carla
Daridjan
Quiz Scores
60, 80, 80, 92
70, 75, 80, 85, 90
55. 72, 80
80, 80, 85, 90, 90
70, 72, 78, 82, 90,
92
Edna
Fran
75, 77, 88
Which of the following students had a median quiz score of 80? Select all that apply.
Carla
O Edna
Fran
оооо
C
Buford
C
Adam
Daridjan
Answer:
Adam and buford
Step-by-step explanation:
Answer:
adam and buford
Step-by-step explanation:
joe was asked to memorize a list of 200 vocabulary words, and he was assessed on his memorization of the words over 3 days. on day 1, he remembered all 200 words. on each of the next two days, joe remembered 10% fewer words than he did the preceding day. how many words did joe remember on day 3 ? a) 160 b) 162 c) 172 d) 180 in the xy-plane, the graph of the given equation is a circle. what is the length of the radius of this circle? a) 2 b) 6 c) 8 d) 36
For the first question, the answer is option C) 172. On day 1, Joe remembered all 200 words. On day 2, he remembered 10% fewer words than he did on day 1. This means he remembered 90% of the words he memorized on day 1.
90% of 200 is (90/100) x 200 = 180 words.
On day 3, Joe remembered 10% fewer words than he did on day 2. This means he remembered 90% of the words he memorized on day 2.
90% of 180 is (90/100) x 180 = 162 words.
Therefore, Joe remembered 162 words on day 3. So, the answer is option B.
For the second question, we don't have the given equation for the circle. Without the equation, we can't determine the length of the radius. So, we can't provide a long answer or a main answer.
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the center for medicare services reported that there were 295,000 reported appeals for hospitalization and other medicare part a services. for this group, 40% of the first round appeals were successful. suppose ten first round appeals were just received. the results follow a binomial distribution. what is the probability exactly two of the appeals was successful? enter answer to four decimal places.
The probability exactly two of the appeals were successful is 0.9536
We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012), and suppose ten first-round appeals have just been received by a Medicare appeals office.
This situation can be represented through Binomial distribution as;
\(P(X=r)={}^{n}C_{r}(p)^r(1-p)^r\) where \(x=0,1,2,3.....\)
where, n = number of trials (samples) taken = 10
r = number of success
p = probability of success which in our question is % of first-round
appeals that were successful, i.e.; 40%
So, here X ~ Binom(n=10 , p=0.40
Probability that at least two of the appeals will be successful = P(X>=2)
P(X >= 2) = 1 - P(X = 0) - P(X = 1)
= 1 - \(^{10}C_{0}(0.40)^0(1-0.40)^{10-0}-^{10}C_{1}(0.40)^1(1-0.40)^{10-1}\)
= 1 - 0.00605 - 0.0403
= 0.9536
Hence, the probability exactly two of the appeals were successful is 0.9536
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11(7+9) using distributive property
Answer:
176
Step-by-step explanation:
Apply PEMDAS
Solve the parenthesis first
11 ( 7 + 9 )
11 ( 16 )
Now open the parenthesis and you will have your answer
11 times 16
176
7th grade math help me plzzzzz
Answer:
-3, -2.5, -3/4, 0.8, 2.5, 6 1/2
Step-by-step explanation:
Answer:
-3 , -2.5 , -3/4 , 0.8 , 2.5 , 6 1/2Step-by-step explanation:
1/2 = 0.5
6 = 6
6 + 0.5 = 6.5
----------------------------------------------------------------------------------------------------------------
1/4 = 0.25
-1/4 = -0.25
-3/4 = -0.75
----------------------------------------------------------------------------------------------------------------
Hope this helps! <3
Three less than two times a number is equal to 21 more than five times the number. What is the equation and the answer?
The equation is 2x - 3 = 5x + 21. Solving for "x" gives the solution of x = -8.The equation for this issue is as follows:
2x - 3 = 5x + 21
where "x" stands for the unidentified number.
We can separate the variable term on one side of the equation and the constant terms on the other side in order to solve for "x".
To begin, we can take away 2x from both sides to obtain:
-3 = 3x + 21
Then, we can take 21 away from both sides to get at:
-24 = 3x
Finally, multiplying both sides by 3 gives us:
x = -8
Consequently, x = -8 is the answer to the equation.
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The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?
mAngleB + mAngleC + 55° = 180°
mAngleA + 60° + 55° = 180°
mAngleC = 55°
mAngleA = 55°
Answer: m Angle a + 60° + 55°=180°
Step-by-step explanation: got it right on edge
The solution is Option B.
The sum of the angles of a triangle mAngleA + 60° + 55° = 180°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ABC
Now , the first measure of angle = 55
The second measure of angle = 60
The angle of the first ∠A = 180 - ( first measure of angle + second measure of angle )
Substituting the values in the equation , we get
For a triangle , ∠A + ∠B + ∠C = 180°
So , sum of the angles of a triangle mAngleA + 60° + 55° = 180°
Hence , the angles of the triangle is solved
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I WILL MARK BRAINLIEST!!!!!!!
Answer:
C
Step-by-step explanation:
hope it helps thank you
Question 4(Multiple Choice Worth 5 points)
(01.05 LC)
If x³ = 125, what is the value of x?
3
5
12
42
A rucksack can hold a maximum of 5.5 kg. A particular textbook has a mass of 590 g. What is the maximum number of these textbooks that the rucksack can hold?
Answer:
9
Step-by-step explanation:
Given That:
Capacity of Rucksack = 5.5 kg = 5500g
Mass of book = 590g
No; of books allowed in bag = ?
To calculate the number of books the bag can hold, divided 5500 by 590:
5500/590 = 9.32 = 9(approximate, because you can't have 0.32 of a book)
Hope this helps.
Good Luck
I need help with this please thank you
∠UXS = 135° is the value on transversal line.
What is a transversal angle?
When a transversal splits two parallel lines, the two intersections create a number of angles. Transversal angles are what those are.A transversal is a line that crosses a network of lines, according to the definition. Transversals include, for instance, a line that crosses a set of two parallel lines.A transversal line is one that crosses two other lines at two different locations.Line l meets a and b in the picture below at two different locations, P and Q. Line l is the transversal line as an outcome.∠RXU = 45°
∠UXS = ?
As we know that a line make 180 degree angle on it.
So, ∠UXS + ∠RXU = 180°
∠UXS = 180° - ∠RXU
∠UXS = 180° - 45°
= 135°
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a set of x and y scores has b = 4, mx = 12, and my = 51. what is the y-intercept (a) for the regression equation?
The y-intercept for the regression equation is 3, given that b = 4, Mx = 12, and My = 51. So, the correct option is C).
The formula for the y-intercept of the regression equation is
a = My - b(Mx)
where My is the mean of the dependent variable (y), b is the slope, and Mx is the mean of the independent variable (x).
Given that b = 4, Mx = 12, and My = 51, we can substitute these values in the formula to find the y-intercept
a = 51 - 4(12)
a = 51 - 48
a = 3
Therefore, the y-intercept (a) for the regression equation is 3.
The correct Answer is C) 3.
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--The given question is incomplete, the complete question is given
" A set of X and Y scores has b = 4, Mx = 12, and My = 51. What is the y-intercept (a) for the regression equation? O 9.75 17.36 3.00 8.25 "--
(-2a)^4/3
Rewrite into radical form
Answer:
There's a link that I'll put down but please look at the file below to gain your answer.
Step-by-step explanation:
I hope this is right Have a good day!
In an inequality, -2.5 is the lesser number. What is the position of the other number on the horizontal number line in relation to -2.5?
Answer:
to the right
.............
Answer:The other number is located on the right of -2.5 on the horizontal number line.
Step-by-step explanation: EDMENTUM PLATO
How to solve 3 equations with 3 unknowns?
We will build it up as an equation system in order to solve the equations. A system of equations can also be solved using a number of methods, such as substitution or elimination.
How to solve equations having 3 equations and unknownsIn order to solve the equations, we will set it up as an equation system. Additionally, you can use a variety of techniques, including as substitution or elimination, to solve a system of equation.
How to solve a system with three equations and three variables is given below in step-by-step format:
Choose any two equation pairs from the system.Use the addition/subtraction method to remove the same variable from each pair.Use the Addition/Subtraction method to solve the system comprising the two new equations.Learn more on system of equation here: https://brainly.com/question/25976025
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