The ISBN for the book is 6−17−076505−Q, then the value Q is 6.
What is the modulus?
In mathematics, the modulus generally refers to the remainder of a division of one number by another. It is also referred to as the "modulus operator," the "modulus function," or the "remainder operator."
Given: 1-32-794182- Q
6−17−076505−Q
Required: Find Q
To do this, we first multiply each digit in descending order of 10.
So, we have:
Product = 6*10+1*9+7*8+0*7+7*6+6*5+5*4+0*3+5*2+Q*1
= 227 + Q
Equate the modulus of the product by 11 to 0
Product%11 = 0
(227 + Q)%11 = 0
The next number greater than 227 divisible by 11 is 233.
So, we have:
(227 + Q)%11 = 233%11
Express 233 as 227 + 6
(227 + Q)%11 = (227 + 6)%11
By comparison:
Q = 6
Hence, the value Q is 6.
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40 POINTS
Write an equation for the table below.
Answer:
y= (x times 2) + 1
Answer:
y = 2x + 1
Step-by-step explanation:
equation of a line in slope intercept form is given by:
y = mx + b where m is the slope and b is the y intercept.
slope: its the rise over run and its formula is: (y2 - y1)/(x2 - x1)
hence,
m = (11 -5)/(5 - 2)
m = 2
y = 2x + b
5 = 4 + b
b = 1
so the equation of the line is y = 2x + 1
make sure to ask if you need any further guidance.
Suppose that a random sample of size 100 is to be selected from a population with mean 50 and standard deviation 8. What is the probability that a sample mean will be greater than 50.8? Round your answer to three decimal places.
Answer:
0.159
Step-by-step explanation:
Given that:
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
Probability that Sample mean (m) will be greater Than 50.8
Using the relation :
(sample mean - population mean) / (standard deviation /sqrt(n))
P(m > 50.8)
Z = (50.8 - 50) / (8/ sqrt(100))
Z = 0.8 / (8/ 10)
Z = 0.8 / 0.8
Z = 1
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence,
P(Z > 1) = 0.159 ( 3 decimal places)
The probability that a sample mean will be greater than 50.8 is P(Z > 1) = 0.159.
Given that,
Suppose that a random sample of size 100 is to be selected from a population with a mean of 50 and a standard deviation of 8.
We have to determine,
What is the probability that a sample mean will be greater than 50.8?
According to the question,
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
The probability that Sample mean (m) will be greater than 50.8.
Therefore,
\(\dfrac{(sample \ mean - population \ mean) \times \sqrt{n}}{standard \ deviation}\)
Where P(m > 50.8)
\(Z = \dfrac{50.8 - 50 \times \sqrt{100}}{8}\\\\Z =\dfrac{ 0.8 \times 10 }{8}\\\\Z = \dfrac{0.8 }{0.8}\\\\Z = 1\)
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence, The probability that a sample mean will be greater than 50.8 is P(Z > 1) = 0.159.
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He buys atoy car for 150 the sells it for $120find his percentage loss
Answer: 80%
Step-by-step explanation:
divide 120 by 150 and you get .8 then you move the decimal over 2
Marie will earn 30 per hour at a new job. During training she will earn 15 per hour. What precent of Marie’s regular hourly rate will she earn during training?
Answer:
50%
Step-by-step explanation:
because 15 is half of 30
plzzzz help im struggling
NO LINKS!!!!!!!
Answer:
the answer is D
1/5^15
Step-by-step explanation: explanation is in link
A line slope is1 and its Y-intercept is -8. what is the equation in slope Internet form?
Step-by-step explanation:
the slope-intercept form is
y = ax + b
with "a" being the slope, and "b" being the y-intercept (the y- value when x = 0).
so, we have
y = x - 8
find the value of x
Answer:
X=65.4 Degrees
Step-by-step explanation:
Hehe ;)
Assume the weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 2,674 pounds to 4,089 pounds. (a) What is the mean weight of a randomly chosen vehicle? (Round your answer to the nearest whole number.) Mean weight 3382 (b) What is the standard deviation of a randomly chosen vehicle? (Round your answer to 4 decimal places.) Standard deviation 408.475 (c) What is the probability that a vehicle will weigh less than 2,961 pounds? (Round your answer to 4 decimal places.) Less than 2,961 pounds 33815 (d) What is the probability that a vehicle will weigh more than 3,814 pounds? (Round your answer to 4 decimal places.) More than 3,814 pounds - (e) What is the probability that a vehicle will weigh between 2,961 and 3,814 pounds? (Round your answer to 4 decimal places.) Between 2,961 and 3,814 pounds
We must determine the percentage of the total area under the uniform distribution curve to the right of 3,814 pounds in order to determine the probability that a car will weigh more than 3,814 pounds.
What is probability?Mathematicians use probability theory to determine the likelihood that an event will occur or a statement is accurate. A probability of essentially 0 shows how likely an occurrence appears to occur, while a risk is a number between 0 and 1, where 1 implies certainty.
(a) The average of the vehicle's lowest and highest weights, or (2,674 + 4,089) / 2, equals 3,382 pounds, is the mean weight of the vehicle. The mean weight is 3,382 when rounded to the closest whole number.
(b) The formula for calculating the standard deviation of a uniform distribution is (b - a) / 12, where a denotes the lowest value and b denotes the maximum value. We arrive at (4,089 - 2,674) / 12 = 408.4751 after substituting the numbers. The standard variation, rounded to four decimal places, is 408.475.
(c) We must determine the percentage of the total area under the uniform distribution curve that lies to the left of 2,961 pounds in order to determine the likelihood that a car will weigh less than 2,961 pounds. (2,961 - 2,674) / (4,089 - 2,674) = 0.33815 is the formula for this region. The chance, rounded to four decimal places, is 0.3381.
(d) We must determine the percentage of the total area under the uniform distribution curve to the right of 3,814 pounds in order to determine the likelihood that a car will weigh more than 3,814 pounds. (4,089 - 3,814) / (4,089 - 2,674) = 0.2904 gives the area of this triangle. The chance, rounded to four decimal places, is 0.2904.
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Please answer quick
Taylor is playing a board game with two friends. Using a single dice, one friend rolled a one, and the other friend rolled a three. Taylor need to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning m. What is the probability that Taylor will win the game?
A. P(winning)= 4/6=66%
B.P(winning)= 3/6=50%
C. P(winning)= 5/6=83%
D. P(winning)= 2/6=33%
Answer:
It would be 2/6.
Step-by-step explanation:
2/6 simplified is 1/3 and she is going against two of her friends in which makes three.
The probability that Taylor will win the game is 3/6 or 50% option (B) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Taylor is playing a board game with two friends. Using a single dice, one friend rolled a one, and the other friend rolled a three.
To win, Taylor needs to roll a 4, a 5, or a 6.
Total number in a standard roll = 6
Favorable outcomes = 3
Probability = 3/6 or
= (3/6)×100
= 50 %
Thus, the probability that Taylor will win the game is 3/6 or 50% option (B) is correct.
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can ppl pls look at my three recent questions on my page and help me?? ill mark brainliest and there is pictures!
done answer your three lates question, now give me brainliest please
What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
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N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Heracio used the computer 4 more hours to do homework than shop online.
How to solve the proportionTo find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.
Let's start by calculating the number of hours Heracio spent on each activity:
Shopping: 10% of 40 hours = 4 hours
Videos: 15% of 40 hours = 6 hours
Homework: 20% of 40 hours = 8 hours
Games: 20% of 40 hours = 8 hours
Social media: 25% of 40 hours = 10 hours
Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:
8 hours (homework) - 4 hours (shopping) = 4 hours
Therefore, Heracio used the computer 4 more hours to do homework than shop online.
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Find the surface area of a cylinder pls
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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On a two-week job, a repairman works a total of 70 hours. He charges a $75 fee plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. which number has a corresponding x coordinate of 0
A. 14
B. 70
C. 40
D. 75
please NO links.
plsss helpppp 6x^2+4x-42
Answer:
Step-by-step explanation:
6x^2+4x-42
2(3x^2+2x-21)=0
3x^2+2x-21=0
3x^2+(9-7)x-21=0
3x^2+9x-7x-21=0
3x(X+3)-7(X+3)=0
(3X-7)(X+3)=0
So Answer is (3x-7)(X+3)
What is 588 times 7
588x7
please help me i’m struggling
The correct option is- "Similar figures are said to be congruent: a dilation could possess a scale factor of 1. Due to the differing lengths of comparable sides, similar figures are really not congruent."
Explain about the congruence and similarity?Congruence:
Even though two things are all the same size and shape, they may not be facing the same direction. Like sea stars oriented differently, they still make sense.Or imagine two knights from a chess set, one on a higher shelf and an additional one on a minor ledge. They can nonetheless be congruent even though they are in distinct three-dimensional planes. They remain consistent.Similarity:
Similarity refers to having the same proportions and shape, but not always the same size. Angles of comparable figures will just be equal, while side lengths are frequently not.Congruent shapes are automatically comparable to one another, while the opposite is not true. Similar figures are all congruent, however not all congruent figures include similar figures.Thus, the correct option is- "Similar figures are said to be congruent: a dilation could possess a scale factor of 1. Due to the differing lengths of comparable sides, similar figures are really not congruent."
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A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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Which equation determines d, the cost in dollars to clean r rooms?
Answer:
\(d = 29r + 10\)
Solving steps:
To check :--
=> d = 29r + 10
according to the table lets insert 3 to check if it's correct
=> d = 29r + 10
=> d = 29(3) + 10
=> d = 87 + 10
=> d = 97
so therefore it gave us the correct answer according to the table the cost in dollar where 97 and since it gives us 97 it's correct
A student wants to compare the amount of money that two local movie theaters make over a two-week period for the last nightly showing of a particular movie. The following box plots show the data for the amount of money each theater makes over the period. Compare the median of each box plot.
Please help it’s due in 3 minutes
The medians are about the same.
Option C is the correct answer.
How to solveThe median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.
We have,
Movie theater 1.
From the box plot given,
The median is 995.
Movie theater 2.
From the box plot given,
The median is 995.
Thus,
The median in both the box plot is the same.
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A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?
Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.
We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.
Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.
Therefore, y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.
Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.
Simplifying, we have :3x = $90000 + 75 = $90075.
Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.
Therefore, Jane received $30025 and Lydia received $60000.
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Real-life Problems Question 6
The amount of money that Theresa has left is equal to £2,740.
How to write a linear equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:
Let the variable a represent cost of flights for each of them.
Let the variable f represent cost of accommodation for each of them.
Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;
y = 12(a + b)
y = 12(266 + 339)
y = £7,260
For the amount of money left, we have:
Amount of money left = £10,000 - £7,260
Amount of money left = £2,740.
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is defined as research that collects information using any kind of numeric and measurable scale and often has limited response options
Quantitative research is a form of qualitative research that focuses on gathering and evaluating data that can be measured and quantified. This study style use numerical data and statistical approaches to uncover patterns, correlations, and trends in data.
Data is frequently collected through surveys, questionnaires, or standardised tests, and the findings are generally evaluated using statistical software. Response options in quantitative research are frequently constrained and organised, with participants picking from a pre-determined range of answers.
The goal of quantitative research is to produce data that is trustworthy, valid, and generalizable to a broader population. Based on the data acquired, this form of study is frequently used to test hypotheses.
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Find g(x), where g(x) is the translation 8 units left and 3 units down of f(x) = |x|
Answer:
g(x) = |x+8|-3
Explanation:
g(x)= |x|
8 units to the left is |x+8| (similarily, 8 units to the right would be |x-8|)
3 units down is - 3 (3 units up would be +3)
g(x) = |x+8|-3
I need help please I can only find 2 of these solutions
Step 1: Isolate the Sin Operator
\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)
Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable
Note that since trig functions have 2 general solutions, this will give us one of our general solutions.
\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)
x₁= 0.48
Solving for x₂
Use the period identity for Sin Functions
\(sin(x)=sin(\pi -x)\)
X in this case is arcsin(0.25)
\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)
So our two general solutions are 0.48 and 5.52
Step 3: Period
Trig Functions have periodic behavior and this function period is
\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)
So our general solutions are
0.48±12k, where k is an integer
5.52±12k, where k is an integer
Let k=1, and we get our next set of solutions:
12.48 and 17.52
So our answer is 0.48,5.52,12.48,17.52
there are 480 students in a class. the ratio of boys to girls is 1:3. How many more girls than boys are in the class?
Suppose a die is rolled twice and let
B = {first toss is a 1} D = {second toss is a 1}
Find the requested probability. (Enter the probability as a fraction.)
P(B ∪ D)
The probability of getting at least one 1 in two rolls of a die in fraction is 11/36.
what is fraction ?
A fraction represents a part of a whole or a ratio between two numbers. It consists of a numerator and a denominator, separated by a horizontal line. The numerator is the top number, representing the part of the whole or the first number in the ratio, while the denominator is the bottom number, representing the whole or the second number in the ratio. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of four equal parts, or the ratio of 3 to 4.
According to the question:
We can use the formula:
P(B ∪ D) = P(B) + P(D) - P(B ∩ D)
Since the events are independent, we have:
P(B) = 1/6 (the probability of rolling a 1 on the first toss)
P(D) = 1/6 (the probability of rolling a 1 on the second toss)
P(B ∩ D) = P(B) x P(D) = 1/6 x 1/6 = 1/36 (the probability of rolling two 1's)
Therefore:
P(B ∪ D) = 1/6 + 1/6 - 1/36 = 11/36
So the probability of getting at least one 1 in two rolls of a die is 11/36.
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Which of the following is NOT true about Nebuchadnezzar?
He created a code of laws that were very strict.
He created the Hanging Gardens for his wife.
He went insane at the end of his life.
He decorated the city with colored bricks and animal statues.
Your answer would be C.
He did not go insane
Which graph represents the function p(x) = |x – 1|?
On a coordinate plane, an absolute value graph has a vertex at (0, 1).
On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).
On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).
The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).
The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).
Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.
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