Answer: 65
adding all flat surfaces equals 65
12+24+12+16+25 = 65
A letter is drawn 1,000 times, at random, from the word ARABIA. There are two offers.
A) You win a dollar if the number of A's among the draws is 10 or more above the expected number.
B) You win a dollar if the number of B's among the draws is 10 or more above the expected number.
Choose one option and explain.
(i) A gives a better chance of winning than B.
(ii) A and B give the same chance of winning.
(iii) B gives better chance of winning than A.
(iv) There is not enough information to decide.
To determine which option gives a better chance of winning, we need to calculate the expected number of A's and B's in the 1,000 draws and compare it to the conditions for winning in each option.
Let's calculate the expected number of A's and B's:
Number of A's in "ARABIA": 3
Number of B's in "ARABIA": 1
Total number of letters in "ARABIA": 6
Probability of drawing an A: 3/6 = 1/2
Probability of drawing a B: 1/6
Expected number of A's in 1,000 draws: (1/2) * 1,000 = 500
Expected number of B's in 1,000 draws: (1/6) * 1,000 = 166.67
Now let's analyze the conditions for winning in each option:
Option A: You win a dollar if the number of A's among the draws is 10 or more above the expected number (500 + 10 = 510 or more).
Option B: You win a dollar if the number of B's among the draws is 10 or more above the expected number (166.67 + 10 = 176.67 or more).
Comparing the two options:
Option A requires having 510 or more A's out of the 1,000 draws.
Option B requires having 176.67 or more B's out of the 1,000 draws.
Since it is not possible to have a fraction of a letter, the number of B's will always be an integer. Therefore, it is impossible to reach the condition for winning in option B, as there can't be 176.67 B's.
Therefore, the correct answer is:
(i) Option A gives a better chance of winning than option B.
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Second supporting point=
Answer:
second supporting point=?
solve the given differential equation by using an appropriate substitution. the de is homogeneous. y dx = 2(x y) dy
The given differential equation y dx = 2(x y) dy is homogeneous, which can be solved by using the substitution y = ux. This leads to a separable differential equation in x and u, which can be integrated to obtain a general solution in terms of u. Finally, substituting back to y = ux gives the general solution to the original differential equation.
The given differential equation y dx = 2(x y) dy is homogeneous, which means that it is possible to solve it by using a substitution of the form
y = ux.
This yields the following differential equation in x and u:
u dx + x du = 2u du.
We can simplify this equation by rearranging the terms:
(x - 2u) du + u dx = 0. This equation is separable, which means that we can separate the variables and integrate both sides to solve for u.
To do this, we divide both sides by (x - 2u) u, which gives:
(1/u) du / (x - 2u) = -dx / u. Integrating both sides yields:
-ln|x - 2u| = ln|u| + C, where C is a constant of integration.
Exponentiating both sides and solving for u gives:
u = ±(Cx) / sqrt(4x^2 + C^2).
Substituting y = ux gives the general solution to the original differential equation: y = ±(Cx^2) / sqrt(4x^2 + C^2).
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the lenght of the floor is 32 m longer than its width and there is greater than 200 square meters. you will cover the floor completely with tiles. what will be the possible dimension of the floor?
write an explicit formula for a subscript n, the nth term of the sequence 8, 11, 14,...
please please help
The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
The Sequences 8, 11, 14,...
first term a = 8
common difference = 11 - 8 = 3
Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3
Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
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help pweese, i'll give brainliest.
Answer:
A. 21
Step-by-step explanation:
So theres 4 months and each month it costs $50
So we do $50*4= $200
The we do the total cost minus $200 and we get $21
Hope this helped and if it did can i get brainliest
Betty has 42 butterfly stickers, as shown below.
She puts an equal number of stickers on each of 6 pages in her sticker book.
How many stickers does Betty put on each page in her sticker book?
Answer:
7
Step-by-step explanation:
42/6=7
marianne sells candles out of her home. last week, she collected $376 in sales tax, If the tax rate in her country is 5.75%, what was Marianne's total candle sales for the week, rounded to the nearest cent?
Marianne's total candle sales for the week rounded to the nearest
cent is $6539.13.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From the given information, Let Marianne's total sale be $'x'.
Therefore, $376 is 5.75% of 'x'. which can be numerically expressed as,
(5.75/100)×x = 376.
0.0575x = 376.
x = $6539.13
We also know to obtain percentage change we'll diving the net amount change by the original amount and multiply it by 100%.
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What can I change in this equation to make it true
x-6y=4
Answer: y=1/6x−2/3
Step-by-step explanation:
-6y= x-4
/-6 . /-6
y= 1/6x-2/3
*somethin like this*
5. Under the pairwise (Copeland) method, who is the winner? (show work below) [2 pts]6. Under the plurality method, who is the winner? (show work below) [2pts]
5) We have to find the winner using the Copeland method.
In this method we compare each pair of candidates and see which one is preferred.
The candidate that wins is awarded one point.
If it is a tie, each one gets 1/2 points.
In this case, we have to consider the number of votes per column.
Then, we will have 4!/(2! * 2!) = 24/4 = 6 pairs.
We compare each pair:
-AB:
For the first column: A
For the second column: B
For the third column: A
For the fourth column: B
For the fifth column: B
For the sixth column: A
Then, for A we have 7 + 11 + 12 = 30.
For B we have 10 + 6 + 6 = 22.
Then A earns one point.
For the next pairs we repeat the process:
-AC:
We will directly count the votes for each candidate.
Votes for A: 11 + 6 + 12 = 29.
Votes for C: 7 + 10 + 6 = 23.
Then A earns another point.
-AD:
Votes for A: 7 + 12 = 19
Votes for D: 10 + 11 + 6 + 6 = 33
Then D earns one point.
-BC:
Votes for B: 10 + 6 + 6 + 12 = 34
Votes for C: 7 + 11 = 18
Then B earns one point.
-BD:
Votes for B: 10 + 6 + 12 = 28
Votes for D: 7 + 11 + 6 = 24
Then B earns another point.
-CD:
Votes for C: 7 + 10 +6 + 12 = 35
Votes for D: 10 + 6 = 16
Then C earns a point.
The total points are:
A: 2 points
B: 2 points
C: 1 point
D: 1 point
We have a tie between A and B.
We don't have a rule that is applied to break the tie, but we can look at the pair AB to see which one wins in that case. If we look A > B, so we can consider A to be the winner after the tie.
6) We have to apply the plurality method.
In this case we only look at the first choices.
Then, from the first column, C gets 7 votes.
From the second column, B gets 10 votes.
From the third column, D gets 12 votes.
From the fourth column, B gets another 6 votes.
From the fifth column, D gets another 6 votes.
From the sixth columns, A gets 12 votes.
Then, we can summarize as:
A = 12
B = 10 + 6 = 16
C = 7
D = 12 + 6 = 18
Then, D is the winner according to the plurality method.
Answer:
5) The Copeland's method gives a tie between A and B. We can break the tie comparing the pair (A,B), where A wins over B.
6) The plurality method gives D as the winner.
which of the following are valid c identifiers? (1) a. firstc prog b. travel time c. 3feetinayard d. number e. cpp assignment f. inchesinonecentimeterg. monthly pay g. jack'shomework h. first
The valid C identifiers from the given options are (b) travel time, (d) number, (f) inchesinonecentimeter, (g) monthly pay, and (h) first.
In C programming, identifiers are names used to identify variables, functions, and other entities. They must follow certain rules to be considered valid. Here's an analysis of each option:
(a) firstc prog: Invalid identifier because it starts with a number, which is not allowed in C.
(b) travel time: Valid identifier because it consists of alphabetic characters and spaces are allowed.
(c) 3feetinayard: Invalid identifier because it starts with a number, which is not allowed in C.
(d) number: Valid identifier because it consists of alphabetic characters.
(e) cpp assignment: Invalid identifier because it contains a space, which is not allowed in C.
(f) inchesinonecentimeter: Valid identifier because it consists of alphabetic characters.
(g) monthly pay: Valid identifier because it consists of alphabetic characters and spaces are allowed.
(h) jack'shomework: Invalid identifier because it contains an apostrophe, which is not allowed in C.
To summarize, the valid C identifiers from the given options are (b) travel time, (d) number, (f) inchesinonecentimeter, (g) monthly pay, and (h) first.
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Look at this set of 9 numbers:
2,2,5 ,2,2 ,2,8,4 ,2
By how much would the mode decrease if the number 7 were added to the set?
Mary worked 2 3/4 hours on Monday and 1 1/2 hours on Tuesday. How many hours did she work in all on Monday and Tuesday?
4 and 1/4
Step-by-step explanation:
okay uh you turn the half into 2 fourths and add to get 3 5/4 then simplify and get 4 1/4
Help me!!
Dakota saves about $4 every day. She had $7 before she started saving. Her total savings is more than $25. About how many days may Dakota have saved?
The answer to this question is 5 days
Answer:
5
Step-by-step explanation:
7+4=11
11+4=15
15+4=19
19+4=23
23+4=27
a wireless garage door opener has a code determined by the up or down setting of 16 switches. how many outcomes are in the sample space of possible codes?
The number of possible outcomes in the sample space of a wireless garage door opener with 16 switches can be determined using the concept of combination is 1.
Combination is a mathematical concept that refers to the number of ways that a set of objects can be selected from a larger set without regard to their order.
To determine the number of possible outcomes in the sample space, we can use the concept of combination. In this case, the objects are the 16 switches, and the larger set is the set of all possible settings for these switches (up or down).
To calculate the number of possible combinations, we can use the formula for combination, which is:
ⁿCₓ = n! / (x! * (n - x)!)
where n is the total number of objects (16 switches), and x is the number of objects selected (in this case, also 16 switches). The exclamation mark (!) represents the factorial function, which is the product of all positive integers up to and including the given integer.
Using this formula, we can calculate the number of possible combinations as follows:
=> 16! / (16! x (16 - 16)!)
=> 16! / (16! x 0!)
=> 1
Therefore, the sample space of possible codes for a wireless garage door opener with 16 switches is 1.
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Three boxes each contain a different number of marbles. Box A has 70 marbles, box B has 88 marbles, and box C has 80 marbles. Marbles are to be transferred from box B to box A. What is the least number of marbles that can be transferred so box C has the most marbles?
it A
Step-by-step explanation:
i need the answer to 9x5x2=9x please
Answer:
x=10
Step-by-step explanation:
an electronic store receives shipment of 12 graphing calculators of which 4 are defective. six of the calculators are selected to be sent to a local high school. what is the probability that exactly one is defective?
The probability of selecting exactly one defective calculator out of the 6 sent to the local high school is 0.29166.
The probability of selecting exactly one defective calculator out of the 6 sent to the local high school can be calculated using the binomial probability formula. The binomial probability formula is \(P(x) = nCx * p^x * q^(n-x)\). For this problem, n = 6 (the number of calculators sent to the local high school), x = 1 (the number of defective calculators selected), p = 4/12 (the probability of selecting a defective calculator from the shipment of 12 calculators), and q = 8/12 (the probability of selecting a non-defective calculator from the shipment of 12 calculators). Plugging these values into the formula gives \(P(x) = 6C1 * 4/12^1 * 8/12^5\), which simplifies to 0.29166. This means that the probability of selecting exactly one defective calculator out of the 6 sent to the local high school is 0.29166.
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There were 53 competitors in a downhill skiing event. Their times in seconds) are shown below. Complete parts a through d below 98.06 98.09 98.46 9847 99.09 98.96 98 99 99.12 99.35 99.57 99.98 100.08 100.11 100.28 100.64 101.32 101.06 101.25 101.34 101.39 102.48 101.99 103.01 103.87 104.11 103.64 104.15 104.27 104.37 104.33 104.52 105.47 105.48 105.69 105.61 113.02 105.73 109.65 106.92 116.11 117.43 117.59 99.09 100 67 103.12 105.02 114.55 99.11 100.77 103.18 105.39 115.97 a) The mean time was 103 59 seconds, with a standard deviation of 5 16 seconds if the Normal model is appropriate what percent of times will be less than 98 43 secon (Round to the nearest integer os needed) b) What is the actual percent of times less than 98.43 seconds? (Round to one decimal place as needed) c) Do the two percentages agree? Why or why not? OA. Yes, because a Normal probability plot shows that the Normal model is appropriate OB. No, because a Normal probability plot shows that the Normal model is appropriate O C Yes, because a Normal probability plot shows that the Normal model is not appropriate O D. No, because a Normal probability plot shows that the Normal model is not appropriate
The two percentages do not agree. Hence, option D is correct.
a) The mean time was 103.59 seconds, with a standard deviation of 5.16 seconds. If the Normal model is appropriate, the percentage of times that will be less than 98.43 seconds can be calculated as follows:
z = (x - μ) / σz = (98.43 - 103.59) / 5.16z = -1.00Using z-score table, we can determine that the percentage of times that will be less than 98.43 seconds is approximately 15%.
Therefore, the percentage of times that will be less than 98.43 seconds is 15%.
(Round to the nearest integer as needed)Hence, option A is correct.b) The actual percentage of times less than 98.43 seconds can be calculated by finding the number of competitors that finished with a time less than 98.43 seconds and dividing that number by the total number of competitors.
98.06, 98.09, 98.46, 98.47, 98.96, 98, 99, 99.12, 99.35, 99.57, 99.98, 100.08, 100.11, 100.28, 100.64, 101.32, 101.06, 101.25, 101.34, 101.39, 102.48,
101.99, 103.01, 103.87, 104.11, 103.64, 104.15, 104.27, 104.37, 104.33, 104.52, 105.47, 105.48, 105.69, 105.61, 113.02, 105.73, 109.65, 106.92, 116.11, 117.43, 117.59, 99.09, 100.67, 103.12, 105.02, 114.55, 99.11, 100.77, 103.18, 105.39, 115.97
There are no competitors who finished with a time less than 98.43 seconds. Therefore, the actual percentage of times less than 98.43 seconds is 0%. (Round to one decimal place as needed)Thus, option D is correct.c) The two percentages do agree.
This is because the Normal probability plot shows that the Normal model is not appropriate.
Therefore, the actual percentage of times less than 98.43 seconds is 0%, which is different from the percentage that was calculated using the Normal model. Since the Normal model is not appropriate, the actual percentage of times is more accurate.
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SOMEONE HELP. I WILL GIVE BRAINLIEST (I will report foolish answers)
Answer:
second A
Step-by-step explanation:
They are alternate interior angles
suppose that all people can be classified as either right-eye dominant or left-eye dominant. that is to say, right-eye dominant people see better with their right eye, and left-eye dominant people see better with their left eye. suppose that 78% of a population are right-eye dominant and that 61% of them are male. of those who are left-eye dominant, 53% are male. what percent of this population are left-eye dominant?
22% of the population is left-eye dominant.
To find the percentage of the population that is left-eye dominant, we need to subtract the percentage of right-eye dominant individuals from 100%.
Given that 78% of the population is right-eye dominant, the percentage of left-eye dominant individuals can be calculated as:
Left-eye dominant percentage = 100% - Right-eye dominant percentage
Left-eye dominant percentage = 100% - 78%
Left-eye dominant percentage = 22%
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-1/2 multiplied by 1/5
Answer:
-1/10 or -0.1
Hope this helps!
4. What is the solution to the equation
-3.5(x + 12) = -2x + 18?
A. X = -40
C. X=4
B. X=-4
D. X= 40
Answer:
A. x = -40
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3.5(x + 12) = -2x + 18
Step 2: Solve for x
Distribute -3.5: -3.5x - 42 = -2x + 18Add 3.5x on both sides: -42 = 1.5x + 18Subtract 18 on both sides: -60 = 1.5xDivide 1.5 on both sides: -40 = xRewrite: x = -40!*EMERGENCY, WILL GIVE BRAINLIEST QUICK*!
This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.
Slope -48, 9 ,48 ?
y-intercept 432, C, 6, 9?
(LEFT SIDE IS HOURS, RIGHT SIDE CUPS)
TABLE-------
HOURS, H / CUPS, C
0 / 432
3 / 288
6 / 144
9 / 0
Answer:
Slope is -48, y-intercept is 432
\(y = - 48x + 432\)
Step-by-step explanation:
\(m = \frac{432 - 288}{0 - 3} = \frac{144}{ - 3} = - 48\)
\(432 = - 48(0) + b\)
\(432 = 0 + b\)
\(b = 432\)
\(y = - 48x + 432\)
Solve for x
a = 2x + 2w
The force made by a magnet is special because it can make other magnets and some metal objects _______ without ever touching them. A. disappear B. melt C. explode D. move Reset Submit
Here we want to study the magnetic force due to a magnet, we will see that the correct option is D, move.
What is a magnetic field?Magnets create a magnetic field around them, such that any object inside that field is affected due to that field (you can think that the magnet is submerged in this magnetic field that is in the space around it).
The magnetic field affects other magnetized objects (such as magnets) repulsing or attracting them, depending on the polarization (opposite polarizations attract and equal polarizations repel)
With that in mind, the property of the magnetic force is that it can move another magnet without touching them, thus the correct option is D, move.
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A net force of 40N south acts on an object with a mass of 20 kg. what is the object's acceleration?
A. a= 4 m/s2 north
B. a= 20 m/s2 north
C. a= 10 m/s2 south
D. a= 2 m/s2 south
Force is proportional to acceleration, so both the force and acceleration vectors should have the same direction of north.
Specifically, Newton's second law says that F = m a. Omitting direction, we can solve for a :
40 N = (20 kg) a ==> a = (40 N) / (20 kg) = 2 m/s²
so the answer is D.
Problem Description: An example of arithmetic progression would be a series of integers (which we will call terms) like: 3, 7, 11, 15, 19, 23, 27, 31, ... Note that 3 is the first term, 7 is the second term, 11 is the 3rd term, etc. 4 is the common difference between any two consecutive terms. Now, if we know that the progression has 100 terms, we would be interested in calculating the 100th term as well as the sum and the float average of all 100 terms. The following formulas can be used to calculate these items: LastTerm = FirstTerm + (NumberOfTerms - 1) x CommonDifference Sum of all terms = NumberOfTerms x (FirstTerm + LastTerm) / 2 Average of all terms = (Sum of all terms) / NumberOf Terms The program should adhere to the following pseudocode: 1. Prompt for and read the first term 2. 3. Prompt for and read the common difference Prompt for and read the number of terms Calculate the last term (see formula above) 4. 5. Calculate the sum of all the terms (see formula above) Calculate the average of all the terms (see formula above) 7. Display the results 6. Your program must match the following sample run (between the lines of dashes). Note that the 3, 3, and 100 on the first three lines were entered by the user. You should also check results for other set of inputs as well. Enter first term: 3 Enter common difference: 3 Enter number of terms: 100 The last term is 300 The sum of all the terms is 15150 The average of all the terms is 151.5
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
Here is an example solution in Python that follows the given pseudocode:
# Prompt for and read the first term
first_term = int(input("Enter first term: "))
# Prompt for and read the common difference
common_difference = int(input("Enter common difference: "))
# Prompt for and read the number of terms
number_of_terms = int(input("Enter number of terms: "))
# Calculate the last term
last_term = first_term + (number_of_terms - 1) * common_difference
# Calculate the sum of all the terms
sum_of_terms = number_of_terms * (first_term + last_term) / 2
# Calculate the average of all the terms
average_of_terms = sum_of_terms / number_of_terms
# Display the results
print("The last term is", last_term)
print("The sum of all the terms is", sum_of_terms)
print("The average of all the terms is", average_of_terms)
If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.
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2. A hand-held digital music player was marked down by /4 of the original
price. If the sales price is $126.00, what is the original price?
Help me :,(
Answer:
The original price is $168
1/2 minus (1/8+1/8) I need help can somebody give me advice on this
Answer: 38
Step-by-step explanation:
Subtract 1/8 from 1/2
12 - 18 is 38.
Steps for subtracting fractions
Find the least common denominator or LCM of the two denominators:
LCM of 2 and 8 is 8
Next, find the equivalent fraction of both fractional numbers with denominator 8
For the 1st fraction, since 2 × 4 = 8,
12 = 1 × 42 × 4 = 48
Likewise, for the 2nd fraction, since 8 × 1 = 8,
18 = 1 × 18 × 1 = 18
Subtract the two like fractions:
48 - 18 = 4 - 18 = 38