Step-by-step explanation:
Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
A bank uses positive numbers to represent credit, and negative numbers to represent debits. Maria's account has a credit of $18, and Harry's account has a debit of $12. Which of the following statements are true? Select all that apply. A. Harry's account has 30$ more than Maria's account. B. Maria's account has 26$ less than Harry's account. C. Harry's account has 30$ less than Maria's account. D. Maria's account has 30$ more than Harry's account.
Answer:
I thing the answers are C & D
Step-by-step explanation:
MARIA has +18$
HARRY has - 12$
So the differences between them is 30$
But Maria is more then Harry
Also you can say Harry has less than Maria
The following statement is true
Maria's account has 30$ more than Harry's account.
What are integers?An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Given:
Maria's account has a credit = (+$18), and
Harry's account has a debit of (-$12).
now, the difference between Maria's and Harry's account is
=18 - (-12)
=18+12
=+30
As, we know Maria has more money then Harry.
Hence, Maria's account has 30$ more than Harry's account.
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WILL MARK BRAINLIEST A bag contains 16 marbles. There are 4 green, 10 red, and 2 blue marbles. One marble is selected at random. Determine whether each statement correctly describes the likelihood of an event based on the given bag of marbles. Select True or False for each statement.
True False
1) It is unlikely that a blue marble will be selected.
2) It is certain that a green marble will be selected.
3) It is impossible that a yellow marble will be selected.
4) It is unlikely that a red marble will be selected.
Answer:
1 is FALSE
2 is TRUE
3 is FALSE
4 is FALSE
Step-by-step explanation:
1 is false because the blue marble is 2 only
2 is true because green marble has a 100% you get this.
3 is false because we din't have yellow marble
4 is false because red is has 10 marble so you get this red marbke is has 82% because red marble is 2nd most at the number of color
Write the equation of a line that passes through (-3/2, -5) and perpendicular to a line that contains (-1, -2) and (-2, -8).
Answer:
find gradient/slope
-8-(-5) / -2-(-1) = -3/-1
= 3
y=3x+c
perpendicular line formula
m1(m2)= -1
(sub in the gradient before)
3(m2)= -1
m2= -1/3 ( perpendicular line gradient)
y=-1/3x+c
(sub in the coordinate)
-5=-1/3(-3/2)+c
-5=1/2+c
-11/2=c (y intercept)
answer: y= -1/3x - 11/2
|6-10|
Please help pleeeeeeeeeeese help I need for assignment
Answer:
4
Step-by-step explanation:
6 - 10 = -4
The absolute value of -4 is 4.
Show your work in order to receive credit for your work. Find the solution to the system of equations.
X+y=12
X-y=4
Answer:
x=8 y=4
Step-by-step explanation:
x=12-y
12-y-y=4
-2y=-8
y=4
x=12-y
x=12-4
x=8
** SOLVE FOR N**
4n / 4 = 311 / 4
also please make sure it isnt a decimal
Answer:
Actual answer would be 77.75 but you would answer as 78 I believe.
Step-by-step explanation:
Since they're over the same denominator this means that 4n= 311.
311/4=n
n=77.75
Or for you it would be 78 rounded up.
Or for a fraction it would be 77 1/4.
(Thanks for reminding me)
Students at a certain high school have to take an arts or technology class. A random sample of 60 students from the high school are surveyed. Each student is asked which class they take. Based on the survey results, which of the following statements are true? Select all that apply.
A There are many excellent dancers at the high school.
B About 25% of the students at the high school
take painting.
C Of every 30 students in the high school, about 11 of them take photography.
D Next year, 7 out of every 60 students at the high school will take music.
E In a group of 120 students from the high school, about 16 of the students
likely take electronics.
The correct statements from the sample are given as follows:
B About 25% of the students at the high school take painting.
D Next year, 7 out of every 60 students at the high school will take music.
E In a group of 120 students from the high school, about 16 of the students likely take electronics.
How to obtain the proportions?The proportion relative to an outcome is given by the number of desired outcomes divided by the number of total outcomes.
15 out of 60 students at the school take painting, hence the proportion is given as follows:
p = 15/60 = 0.25 = 25%.
Out of 60 students, 11 take photography, hence out of 30 students, the amount is given as follows:
30/60 x 11 = 5.5.
For electronics, out of 120 students, we have that:
120/60 x 8 = 16.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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Please Answer!! Will give brainly!!
Answer:
480 - 12.25d = 50
factored form for x^2 + 8x + 3
Answer:
x = [-b +- sqrt(b^2-4ac)]/2a
Step-by-step explanation:
Help Me On Both Of These Qestions Please.
Answer:
3) m∡ACB = 40 m∡ABC = 63
4) m∡BCA = 14 m∡ABC = 83
Step-by-step explanation:
Since DE is a line it has 180 degrees so:
103 + CAB = 180
CAB = 77 degrees
All triangle interior angles of a triangle add up to 180 degrees, so:
BAC + ACB + CBA = 180
3x - 14 + 3x + 9 + 77 = 180
6x + 72 = 180
6x = 108
x = 18
Plug in your values:
3(18) - 14 = 40
3(18) + 9 = 63
Use the same method for the next problem.
I neeeeddddd helllppppp I can’t sleeeeppp unlllleesss I dooo thisss
Step-by-step explanation:
For no.4
m= -2/3
x=-60
y=10
now
y=mx+b
or,
10=-2x/3+b
or, 30=-2(-60)+3b
or, 30 = 120+3b
or,
3b = -90
so, b = -30
now
y=mx+b
or, y = -2x/3-30
for no.4 the equation would be
y = -2x/3 - 30
Can someone help? Thanks so much----
I have to do the translation.
Answer:
B'(3, - 1), C'(2, 2), D'(4, 3), E'(4, - 1)
Step-by-step explanation:
(x, y) -----> (x + 5, y + 3)
B(- 2, - 4) -------> B'(- 2 + 5, - 4 + 3) = (3, - 1)
C(- 3, - 1) --------> C'(- 3 + 5, - 1 + 3) = (2, 2)
D(- 1, 0) ---------> D'(- 1 + 5, 0 + 3) = (4, 3)
E(- 1, - 4) --------> E'(- 1 + 5, - 4 + 3) = (4, - 1)
3+1-4+7=?
I need help with this
Answer:
Step-by-step explanation:
first step: 3 + 1 = 4
second step: 4 - 4 = 0
third step: 0 + 7 = 7 (the answer is 7 )
The number of buses that arrive at the main station during 4:00 PM and 5:00 PM is a Poisson random variable with parameter λ. Each bus has 20 seats which might be empty or taken by a passenger. The probability that each seat is taken is p, independent of other seats. Moreover, passengers are not allowed to stand up.
(a) Let M1 be the number passengers in bus number 1. Write the p.m.f. of M1 and determine its range.
(b) Let p = 0.2, and find the probability that more than 11 passengers are riding on the bus. Compute this probability exactly and compare it against the Markov bound.
(c) Let p = 0.8, and compute the probability that there are at most10passengers on the bus. Find this probability and compare it against what you get using Chebyshev inequality.
(d) Consider a general p, and let R denote the total number of passengers arrive at the station during this time. Determine E[R].
(e) Compute Var(R).
The pmf of M1 is \($P(M1=k) = \binom{20}{k} \cdot p^k \cdot (1-p)^{20-k}$\)
The probability that more than 11 passengers are riding on the bus is \($P(M > 11) = 1 - P(M\leq11) = 1 - \sum_{k=0}^{11} P(M=k)$\)
The value of E[R] is 20λp and the value of Var(R) is \($20\lambda p(1-p) + \lambda \cdot 20^2 p^2$\)
Given that the number of buses arriving at a station in a specific time interval follows a Poisson distribution with parameter λ, and each bus has 20 seats with a probability p that each seat is taken. The number of passengers in bus number 1, M1, follows a binomial distribution with parameters n=20 and p. Using these distributions, we can calculate the probabilities of different events, the expected value of the total number of passengers, and the variance of the total number of passengers.
The number of passengers on bus 1, M1, follows a binomial distribution with parameters n=20 and p. The pmf of M1 is:
\($P(M1=k) = \binom{20}{k} \cdot p^k \cdot (1-p)^{20-k}$\)
where k ranges from 0 to 20.
The range of M1 is 0 to 20.
When p=0.2, the probability that more than 11 passengers are riding on the bus can be calculated using the Poisson distribution. We can find \($P(M > 11) = 1 - P(M\leq11) = 1 - \sum_{k=0}^{11} P(M=k)$\)
where M is the number of passengers on the bus. We can also use Markov's inequality to find an upper bound on this probability, which is P(M>11) <= E[M]/11.
When p=0.8, we want to compute the probability that there are at most 10 passengers on the bus. We can use the binomial distribution to find P(M1<=10), where M1 is the number of passengers on bus 1. We can also use Chebyshev's inequality to find an upper bound on this probability, which is \(P(\left|M_1-E[M_1]\right|\geq3) \leq \frac{Var(M_1)}{3^2}\)
The expected value of the total number of passengers is \(E[R] = \lambda * E[M]\), where E[M] is the expected number of passengers on a bus. Since each seat has probability p of being taken, we have E[M]=20p. Therefore, E[R] = 20λp.
The variance of the total number of passengers is\($\mathrm{Var}(R) = \lambda\mathrm{Var}(M) + \mathrm{Var}(\lambda)\mathrm{E}(M)^2$\), where Var(M) is the variance of the number of passengers on a bus. Using the binomial distribution, we can find Var(M) = 20p(1-p). Since the Poisson distribution has variance equal to its mean, we have Var(λ) = λ.
Therefore, \($Var(R) = 20\lambda p(1-p) + \lambda \cdot 20^2 p^2$\)
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Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos. Graphically solve a system of equations in order to determine the number of bananas, x,x, and the number of mangos, y,y, that Chee bought.
We get the number of bananas as 8 and the number of mangoes as 4.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos.
We can write the system of equations as -
x = 2y ..... (1)
(1/2)x + 2y = 12 ..... (2)
We can write equation (2) as -
(1/2) x 2y + 2y = 12
3y = 12
y = 4
then -
x = 8
Therefore, we get the number of bananas as 8 and the number of mangoes as 4.
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a landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $40/ft and on the other three sides by a metal fence costing $20/ft. if the area of the garden is 22 square feet, find the dimensions of the garden that minimize the cost.
The dimensions of the garden that minimize the cost is 3.83 and 5.74.
Lets assume the garden has length L and width W and one Length has the brick wall.
L*W = 22 (area constraint)
C = 40 * L + 20 * L + 20 * W + 20 * W
= 60 * L + 40 * W
We need the equation in terms of just one variable, lets use L. We can use the area constraint to do this
W = 22/L (plug this into the C equation)
C(L) = 60*L + 40*(22/L)
= 60*L + 880/L
C(L) = 60*L + 880/L
now take the derivative and get
C'(L) = 60 - 880/L^2
now set that derivative = 0 to find the key L value where the min/max occurs (min in this case)
0 = 60 - 880/L^2
Solve for L,
L = ± (2 sqrt(11/3))
We only need the positive answer as negative length makes no sense here,
L = 3.83 (approximate)
We can now solve for W as well
W = 22/3.83 = 5.74
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Is 59 a prime number?
Answer: Yes, 59 is a prime number
Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.
Yes, 59 is a prime number.
What is a prime number?
Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.
In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.
The number in question, which is 59, has only two factors: 1 and 59.
Therefore 59 is a prime number.
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What's 2.537 rounded to the nearest hundred?
Answer: 2.54
Step-by-step explanation:
Answer:
2.54
Step-by-step explanation:
Find the number in the hundredth place 33 and look one place to the right for the rounding digit 77. Round up if this number is greater than or equal to 55 and round down if it is less than 55.
Complete the table to show the interest earned for different savings principals, interest rates, and time periods
The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.
Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)
$1,000 | 2% | 1 year | $20
$5,000 | 4% | 2 years | $400
$10,000 | 3.5% | 3 years | $1,050
$2,500 | 1.5% | 6 months | $18.75
$7,000 | 2.25% | 1.5 years | $236.25
To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.
For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.
For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.
For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.
For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.
For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.
These calculations show the interest earned for different savings principals, interest rates, and time periods.
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Fill in the missing
reasons for the proof of Theorem 1-4.
Given: zf and zG are right angles.
Prove: zF £ zG
Statements Reasons
1) zF and zG are 1) Given
right angles
2) mzF = 90 and 2)
mzG = 90
3) mzF = mzG 3)
4) zF £ zG 4)
Answer:
1) Given
2) Defintion of Right Angle
3) Transitive Property of Equality
4) Definiton of Congruent Angles
Step-by-step explanation:
Below is a line plot representing the ages of the students in the An
Club. How many students are in the Anime Club?
10
XXX-=
12
XXXXX-M
XXXI
13 14
-X
IS
The number of students in the Anime club is given as follows:
14 students.
What is the dot plot?The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.
The dot plot in this problem gives the number of students with each age, hence for the total number of students, we add the number of markers in this problem.
Hence the number of students in the Anime club is given as follows:
1 + 3 + 1 + 5 + 3 + 1 = 14 students.
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Patrick Mahomes signed a 10-year $503,000,000 contract this past offseason. That's right; 500
and three MILLION dollars. He decided to invest (loan) $10,000,000 to the Texans
organization, to help fire O'Brien and get better. If the agreed deal has an interest rate of 8% for
5 years, compounded quarterly, what is the amount that Machomes is expecting to get back in 5 years?
Answer:
($21.7 million in '21, $27.4 million in '22, $34 million-plus in '23).
Step-by-step explanation:
help meee pleaseeeee
Answer:
D) x>5
Step-by-step explanation:
you play a game on your phone for every correct move you make you receive 50 points for every second that it takes you to complete the game you lose 3 points you complete the game in 2 minutes and 15 seconds using 25 correct moves what is your score
Answer:
845
Step-by-step explanation:
If you make 25 correct moves, and each correct move is worth 50 points, then the total amount of points you gain from correct moves is:
25x50=1250
If you lose 3 points for every second you take, and you spent 135 seconds (2 minutes and 15 seconds), the total amount of points lost due to time is:
3x135=405
Your overall score = points gained - points lost = 1250-405 = 845
709,9785,906+678,053,985=???
Answer:
7777839891
Step-by-step explanation:
7099785906+678053985
refer to figure 5-1. with reference to graph a, at a price of $10, total revenue equals:
With reference to graph a, at a price of $10, total revenue equals $400.
Define total revenue.By multiplying the total number of items and services sold by their prices, total revenue—the sum of all sales—is determined. The extra money made from selling one more unit of an item or service is known as marginal revenue. The term "revenue" refers to the sum of money that a business makes from the sale of goods and services during the course of its operations. Total earnings or the profit a corporation makes are other names for revenue. The business of the corporation affects the revenue formula. For instance, a product sale is computed by multiplying the total number of product sales by the average price at which the goods are sold.
Given
With reference to graph a, at a price of $10,
total revenue equals:
$400
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If 24 people fit in 12 RVs,
How many people are in each RV?
Answer:
2 people per RV.
Step-by-step explanation:
24 / 12 = 2
The average labor charge for automobile mechanics is $54 per hour. The standard deviation is $4. Using Chebyshev’s theorem, find the percentage of data values that will fall in the range of $48 to $60.
We can conclude that at least 56% of the data values will fall in the range of $48 to $60.
Given data: The average labor charge for automobile mechanics is $54 per hour.
The standard deviation is $4.
Using Chebyshev’s theorem, we need to find the percentage of data values that will fall in the range of $48 to $60.
Chebyshev's theorem states that at least 1-1/k2 of the data will lie within k standard deviations of the mean of a random data set.
It does not depend on the shape of the data distribution, only the standard deviation is used in the calculations.
The formula for Chebyshev's theorem is:
1-1/k2 where k is the number of standard deviations from the mean.
Let's find the value of k first. k is calculated as:
k = (upper limit of the range - the mean) / the standard deviation
= (60 - 54) / 4
= 1.5k
= (mean - lower limit of the range) / the standard deviation
= (54 - 48) / 4
= 1.5
Now, we will use Chebyshev's theorem to find the percentage of data that will fall within this range:
1-1/k2 = 1 - 1/1.5²
= 1 - 0.44
= 0.56
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Workers employed in a large service industry have an average wage of $7. 00 per hour with a standard deviation of $. 50. The industry has 64 workers of a certain ethnic group. These workers have an average wage of $6. 90 per hour. Is it reasonable to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry
There's still a 5.48% chance that you'd find that the average of their 64 wages is $6.90 or less so to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry is not valid.
What is a random normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution is depicted graphically as a "bell curve."If the true mean of this group's wages is also $7.00 and the standard deviation is $0.50, then the average of a sample of n workers has the same mean and a standard deviation of (pop. stan. dev. / √n).
In this case, the sample average is a random variable with a mean of $7.00 and a standard deviation of $0.50/√64 = 0.0625.
If a random variable has a normal distribution with a mean $7.00 and st. dev. $0.0625, then the probability of observing it as $6.90 or less is:
P[sample mean < 6.90] = P[z < (6.90 - 7.00)/0.0625] = P[z < -1.6] = 0.0548.
In other words, it could be the case that there's no discrimination against ethnic workers, and there's still a 5.48% chance that you'd find that the average of their 64 wages is $6.90 or less.
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Can someone please help me
Answer:
Y=-3x+7
Step-by-step explanation:
it hit the y axis at 7
And it is going down by 3