The subset of real numbers √3 belong to is irrational numbers
What is a subset ?
If all of the items in a set A are also in a set B, then the sets A and B are subsets of one another. To put it another way, the set A is contained within the set B. A and B stand for the subset connection.
When all the components of Set A are also present in Set B, Set A is said to be a subset of Set B. Alternatively said, Set B contains Set A. Example: If set A contains X and Y and set B contains X, Y, and Z, then set A is a subset of set B because set B also contains X and Y.
As √3 is irrational number
∴it is a subset of real numbers √3 belong to is irrational numbers
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Brian invests £7500 into his bank account.
He receives 6% per year compound interest.
How many years will it take for Brian to have more than £10000?
Answer:
5 years
Step-by-step explanation:
The first digit of a string of 2002 digits is a 1. Any two-digit number formed by consecutive digits within this string is divisible by 19 or 31. What is the largest possible last digit in this string
The largest possible last digit in the string of 2002 digits and number divisible by 19 or 31 is 9.
Given the first digit of a string of 2002 digits is 1 and the two digit number formed by consecutive digits within the string is divisible by 19 or 31.
We have to tell the last largest digit of such number.
Two digit numbers divisible by 19=19,38,57,76,95.
Two digit numbers divisible by 31=31,62,93,124
Number started with 1 =19
Last digit is 9
We have said that the number should be divisible by 19 or 31 not from both and started with 1.
Hence the largest possible last digit and number divisible by 19 or 31 in this string is 9.
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Please help me the picture is posted above
Answer: C, D, E
Step-by-step explanation: sub in -3 for x and 6 for y in all equations. Only c and d are true. In the graphs, E is the only one that has the point (-3,6)
Answer:
c, d, and e
Step-by-step explanation:
What is the surface area of this design?
PLEASE HELP ASAP!!
SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150
Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side, so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.
what is 685 x 32?? im confused
Answer:
21920
Step-by-step explanation:
Answer:
21,920
Step-by-step explanation:
Work uploaded below :)
10. A bank teller serves one customer in 5 minutes. Assuming the demand is 12 cust/hour, what is the utilization? A. 33.39 B. 50.0% C. 66.67% D. 100%
the utilization is approximately 1.67%, which is closest to option A. 33.39%.
Given:
- The bank teller serves one customer in 5 minutes.
- The demand is 12 customers per hour.
To find the average time per customer, we can invert the rate of serving customers per minute:
Average time per customer = 1 / (12 customers/hour 60 minutes/hour) = 1 / 720 customers/minute
Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:
Utilization = (Time spent serving customers / Total available time) 100%
Time spent serving customers = Average time per customer Number of customers
Time spent serving customers = (1 / 720 customers/minute) (12 customers/hour)
Time spent serving customers = 12 / 720 hours
Utilization = (Time spent serving customers / Total available time) 100%
Utilization = (12 / 720 hours) / (1 hour) 100%
Utilization = 12 / 720 100%
Utilization = 1.67%
Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.
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The financial analyst at a small video game company develops the expression
3.59g – 4960 to estimate the amount of profit per game sold (g) for a version upgrade of
one of its games. The company sets a goal of $75,000 profit on the game for the first
month of its roll out. How many games does the company need to sell in order to reach its
profit goal?
explain your work
Answer:
Break-even point in units= 22,273
Step-by-step explanation:
Giving the following information:
Contribution margin per game= $3.59
Fixed cost= $4,960
Desired profit= $75,000
To calculate the number of games to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (4,960 + 75,000) / 3.59
Break-even point in units= 22,273
A student takes an exam containing 17 true or false questions. At least 11 correct answers are required to pass. If the student guesses, what is the probability that he will fail
The probability that the student will fail, given that he guesses the answers, is 0.227.
Since there are only two possible outcomes for each question (true or false),
the probability of guessing a correct answer is 1/2 = 0.5.
Likewise, the probability of guessing a wrong answer is also 1/2 = 0.5.
To find the probability of failing the exam,
we need to find the probability of answering less than 11 questions correctly.
Using the binomial probability formula,
the probability of getting k successes (correct answers) in n trials (questions) is given by:
P(k) = (n C k) * p^k * q^(n-k)
where p is the probability of success (getting a correct answer),
q is the probability of failure (getting a wrong answer), and (n C k) is the number of combinations of n things taken k at a time.
In this case,
n = 17, p = 0.5, and
q = 0.5.
The number of ways to get less than 11 correct answers is:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)P(X = k) = (n C k) * p^k * q^(n-k)
Substituting the values:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)
P(X = 0) = (17 C 0) * (0.5)^0 * (0.5)^17 = 0.0015
P(X = 1) = (17 C 1) * (0.5)^1 * (0.5)^16 = 0.0146
P(X = 2) = (17 C 2) * (0.5)^2 * (0.5)^15 = 0.0586
P(X = 3) = (17 C 3) * (0.5)^3 * (0.5)^14 = 0.1558
P(X = 4) = (17 C 4) * (0.5)^4 * (0.5)^13 = 0.268
P(X = 5) = (17 C 5) * (0.5)^5 * (0.5)^12 = 0.327
P(X = 6) = (17 C 6) * (0.5)^6 * (0.5)^11 = 0.2732
P(X = 7) = (17 C 7) * (0.5)^7 * (0.5)^10 = 0.1537
P(X = 8) = (17 C 8) * (0.5)^8 * (0.5)^9 = 0.0573
P(X = 9) = (17 C 9) * (0.5)^9 * (0.5)^8 = 0.013
P(X = 10) = (17 C 10) * (0.5)^10 * (0.5)^7 = 0.0015
Therefore, P(X < 11) = 0.0015 + 0.0146 + 0.0586 + 0.1558 + 0.268 + 0.327 + 0.2732 + 0.1537 + 0.0573 + 0.013 + 0.0015P(X < 11) = 0.8857
Thus, the probability of failing is: P(fail) = P(X < 11) = 0.8857
The probability that the student will fail, given that he guesses the answers, is 0.227 (rounded to three decimal places).
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The area of a square notepad is 100 square centimeters how long is each side?
Answer:
10 cm
Step-by-step explanation
to fine area of square you multiply 2 sides together and get the area and 10x10 is 100
Michael is 4 times as old as Brandon and is also 27 years older than Brandon. Please answer CORRECTLY !!!! Will mark brainliest !!!!!!
Answer:
108
Step-by-step explanation:
Mike's current age, be M
Then Brandon's is: M - 27
Also, M = 4(M - 27)
M = 4M - 108
M - 4M = - 108
- 3M = - 108
a farmer wants to make a rectangular field with a total area of 2000 square meters. it is surrounded by a fence. it is divided into 4 equal areas by fences. what is the shortest total length of fence this can be done with?
The shortest total length of fence this can be done with will be 440 m as the total area is 2000 m².
What is perimeter?The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter. Your fence is 200 feet long if the yard is 50 feet by 50 feet.
Here,
The area=2000 m²
xy=2000
x=2000/y
p=4x+2y
p=4*(2000/y)+2y
=8000/y+2y
p'=-8000/y²+2
-8000/y²+2=0
2y²-8000=0
y²-4000=
y²=4000
y= 20 m
p=8000/20+2*20
p=400+40=440 m
Given that the total area is 2000 m², the shortest total length of fence that can be used is 440 m.
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use the difference of two squares to find the value of 612 - 392
Answer: 4 (153 - 98)
formula is a^2-b^2=(a+b)(a-b)
factor out the GCF:
4(153−98)
both terms are not perfect squares so
you cant factor it further.
You start at (2, -2). You move up 5 units and down 5 units. Where do you end?
Characteristics of vectors:
Self replicating, multiple copies.Replication origin site.Cloning site.Selectable marker gene.Low molecular weight.Easily isolates and purifies.Easily isolates into host cells.Step-by-step explanation:Moving up 5 units and then back down 5 units you would be in the original starting location.
Answer (2,-2)
For a standard normal distribution, a negative value of z indicates _____.
For a standard normal distribution, a negative value of z indicates that the observed value is below the mean of the distribution.
In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a negative value of z indicates that the observed value is located below the mean. The z-score represents the number of standard deviations a data point is away from the mean.
A negative z-score means that the observed value is lower than the mean, indicating that it falls to the left of the center of the distribution. This means that the data point is relatively lower compared to the average and can provide information about its position within the distribution and its deviation from the mean.
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the mean salary at a local industrial plant is $27,800 with a standard deviation of $5400. the median salary is $24,500 and the 60th percentile is $31,000.step 5 of 5 : if tom's salary has a z-score of 0.9, how much does he earn (in dollars)?
Tom earns $32,660.
A z-score of 0.9 means that Tom's salary is 0.9 standard deviations above the mean. The mean salary is $27,800 and the standard deviation is $5400, so Tom's salary is $27,800 + 0.9 * $5400 = $32,660.
Here is a more detailed explanation of how to calculate Tom's salary:
The mean salary is $27,800.
The standard deviation is $5400.
A z-score of 0.9 means that Tom's salary is 0.9 standard deviations above the mean.
To calculate Tom's salary, we can use the following formula:
Salary = Mean + (Z-score * Standard deviation)
Substituting the known values into the formula, we get:
Salary = $27,800 + (0.9 * $5400)
Salary = $32,660
Therefore, Tom earns $32,660.
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Sheryl and Jennifer were given the same number of sticker at first.After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer. How many stickers were given to sherly at first
Answer:
112 stickers
Step-by-step explanation:
Let x and y represent the number of stickers Sheryl and Jennifer were given at first.
Sheryl and Jennifer were given the same number of sticker at first.
So;
x = y ......1
After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer.
x = 4(y-84)
x = 4y - 336 ......2
Substituting equation 1 into 2
y = 4y - 336
Solving for y;
4y - y = 336
3y = 336
y = 336/3
y = 112
Therefore, sherly was given 112 stickers at first
calculate 1+ 1/2+1/4÷3/2
Answer : 5/3
◊ YusuCr ◊
Answer:
1 2/3
Step-by-step explanation:
\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)
\(\mathrm{Multiply\:and\:divide\:(Left\:to \:right)}\) \(\frac{1}{4}\) ÷ \(\frac{3}{2}:\frac{1}{6}\)
\(=1+\frac{1}{2}+\frac{1}{6}\)
\(\mathrm{Add\:and\:Subtract\:(Left\:to \:right)}\) \(1+\frac{1}{2}+\frac{1}{6}:\frac{5}{3}\)
\(=\frac{5}{3}\)
\(\mathrm{Convert\:improper\:fractions\:to\:mixed \:numbers}: \frac{5}{3}=1\frac{2}{3}\)
\(=1\frac{2}{3}\)
\(Answer = =1\frac{2}{3}\)
[RevyBreeze]
If (6 ki)² = 27-36i, the value of k is
Answer: k = √27-i
Step-by-step explanation:
Line r cuts parallel lines p and q as shown in the figure.Angles E and g are ____ to each other because they are _____ angles.
A and G can either be congruent, not congruent, or supplementary
And they can either be adjacent, corresponding, or vertical angles
Angled E and G are congruent because they are vertical angles
PLEASE MARK BRAINLIEST
Answer:
congruent and vertical
I TOOK THE TEST AND GOT A 100
I really need help with this question please someone help me
\(\mathrm{Inverse\:of}\:\frac{7}{x}-9:\quad \frac{7}{x+9}\)
\(\mathrm{Inverse\:of}\:\frac{x}{6}+8:\quad 6x-48\)
\(\mathrm{Inverse\:of}\:5x-11:\quad \frac{x+11}{5}\)
\(\mathrm{Inverse\:of}\:2+\sqrt[3]{x}:\quad x^3-6x^2+12x-8\)
Where does the electric field pierce the cylinder?
The electric field pierces the cylinder at the points where the field lines intersect the surface of the cylinder. The location of these intersections depends on the geometry of the cylinder and the distribution of charges.
For example, if the cylinder has a uniform charge distribution, the electric field lines will be perpendicular to the surface of the cylinder and will intersect it at every point. If the cylinder has a non-uniform charge distribution, the electric field lines may be curved and the intersections may occur at different angles.It is also possible for the electric field to pass through the center of the cylinder, which is known as the axial field.
This occurs when the charges are distributed symmetrically around the cylinder.Overall, the location of the electric field piercing the cylinder depends on the specific conditions of the system and can be determined using mathematical equations and physical principles such as Coulomb's Law and Gauss's Law.
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Classify each of the following functions as even, odd or neither. Be sure to include your work to justify your classification. (10 points each)
Answer:
1.odd 2. even this is the answer
Write the Linear equation in Standard form.. Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php, write an equation in standard form modeling this situation. Let x represent the number of pairs of socks you buy, and y represent the number of pairs of gloves you buy.
Answer:
An equation in standard form modeling this situation is:
75x + 50x = 425
Step-by-step explanation:
Let
x represent the number of pairs of socks you buy
y represent the number of pairs of gloves you buy
Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php.
The equation is given as:
75php × x + 50php × y = 425php
= 75x + 50y = 425
Therefore,
the equation in standard form modeling this situation is:
75x + 50x = 425
Jackson bought 5 ounces of raisins for $4.
How much do raisins cost per ounce?
How many ounces of raisins can be bought for $1?
Cost of raisin per ounce = $0.8
Solution:
Number of ounces = 5 ounces
Price of 5 ounces= $4
Cost of raisin per ounce = ?
To find out the price per ounce, simply take the total dollar amount of the product and divide it by the number of ounces.
Formula = Price/Number of ounce
= 4/5
=$0.8
Cost of raisin per ounce = $0.8
Thank you :D
Find the slope of a line that passes through the points (-1, -3) and (2, -2).
Answer:
Step-by-step explanation:
(-2 + 3)/(2 + 1) = 1/3 is the slope
Which of the following are valid names for the triangle below? Check all that apply.
Below is how you insert a picture
HELP PLSS
This assignment is past the original due date of Sun 04/24/2022 11:59 pm. You were granted an extension Due Tue 05/17/2022 11:59 p Find the consumer's and producer's surplus if for a product D(x) = 25
To find the consumer's and producer's surplus, we need more information about the demand and supply functions or the market equilibrium.
You provided the demand function D(x) = 25, but we require additional details to proceed with the calculations. The consumer's surplus is the difference between the maximum price consumers are willing to pay and the price they actually pay. It represents the benefit or surplus gained by consumers in a market transaction.
The producer's surplus is the difference between the minimum price producers are willing to accept and the price they actually receive. It represents the benefit or surplus gained by producers in a market transaction.
To calculate these surpluses, we typically need information about the supply function, equilibrium price, and equilibrium quantity. These values help determine the areas of the consumer's and producer's surpluses on the supply-demand graph.
Please provide the necessary information about the supply function, equilibrium price, or any other relevant details so that I can assist you in calculating the consumer's and producer's surplus accurately.
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Peter guesses on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices, and Peter needs to get at least 7 questions correct to pass. Here are some probabilities computed using the binomial formula: P(getting exactly 7 correct) = 0.0031 P(getting exactly 8 correct) = 0.000386 P(getting exactly 9 correct) = 2.86 × 10−5 P(getting exactly 10 correct) = 9.54 × 10−7. Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz.
a. 0.001
b. 0.002
c. 0.0035
d. 0.005
Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz is (c) 0.0035.
Probability of Peter Passing QuizTo compute the probability that Peter will pass the quiz (i.e., get at least 7 questions correct), we need to sum the probabilities of getting exactly 7, exactly 8, exactly 9, and exactly 10 questions correct.
So, the probability of passing the quiz is:
P (getting at least 7 correct) = P (getting exactly 7 correct) + P (getting exactly 8 correct) + P (getting exactly 9 correct) + P (getting exactly 10 correct)
= 0.0031 + 0.000386 + 2.86 × 10⁻⁵ + 9.54 × 10⁻⁷
= 0.0035
Therefore, the result is c. 0.0035.
The binomial formula can be used to solve a wide range of problems in probability and statistics. The binomial formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).
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Mia has 140 cookies to sell. There are 4 different types of cookies.
1
4 of the cookies are chocolate chip
1
• 7 of the cookies are peanut butter
2
5 of the cookies are M&M
• The rest are sugar cookies
How many sugar cookies are there?
Answer:
140-14-7-25= 94
Step-by-step explanation:
hey guys i don't have much but this is urgent pls :(
Answer:
3 feet.
Step-by-step explanation:
I hope this helps!