Answer:
A is the correct answer
Step-by-step explanation:
Because:
First you want w on a side by itself. So you divide w by 3.50 and divide 84 by 3.50. And 3.50 on the left side cancels out. And then you are left with w = 24.
And you can check that by multiplying 3.50 by 24.
3.50w = 84
3.50w/3.50 = 84/3.50
w = 24
3.50(24) = 84
84 = 84
what is a types of quadrilaterals?
Types of quadrilaterals are parallelograms, rectangles, squares, rhombi, trapezoids, kites, and isosceles trapezoid.
A polygon having four sides and four angles are called a quadrilateral. Quadrilaterals come in a wide variety of forms, each with its own set of qualities and attributes.
Some of the most typical varieties are listed below:
Parallelogram - A quadrilateral has opposing sides that are equally long and parallel.
Rectangle - A parallelogram with all angles at 90 degrees is referred to as a rectangle.
Square - A rectangle with equally long sides.
Rhombus - A parallelogram with equal-length sides is referred to as a rhombus.
Trapezoid - A quadrilateral with just one set of diagonally opposed sides is called a trapezoid.
Kite - A quadrilateral has two sets of adjacent sides that are of equal length or a kite.
Isosceles trapezoid - An isosceles trapezoid is one with equally long non-parallel sides.
Learn more about quadrilaterals at
https://brainly.com/question/29934440
#SPJ4
Normal probability distribution is applied to: A. a subjective random variable B. a discrete random variable C. any random variable D. a continuous random variable
Normal probability distribution is applied to a continuous random variable. The correct option is D.
The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.
The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.
The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.
Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.
To learn more about continuous random variable refer here:
https://brainly.com/question/17238189
#SPJ11
Solve the systems of equations by substituting
9) -7x-2y=-13
X-2y=11
(2^-4)^-3 what is the answer to this math problem i really need help
Step-by-step explanation:
\( = { ({2}^{ - 4}) }^{ - 3} \)
\( = {2}^{ - 4 \times ( - 3)} \)
\( = {2}^{12} \)
\( { ({2}^{ - 4}) }^{ - 3} = {2}^{12} \)
Solve the system of inequalities by graphing...
The solution set of given system of inequalities is the intersection region (purple colored region)
The correct graph is given by an option (D)
In this question, we have been given the system of inequalities.
y ≤ -5x + 4
y ≥ 6x + 3
We need to solve the system of inequalities by graphing.
Consider the graph of given system of inequalities as shown below.
An inequality y ≤ -5x + 4 is represented by a region colored red and the inequality y ≥ 6x + 3 represented by a region colored blue.
The solution set for given inequalities is the set of all points which are common to both the inequalities.
This solution set is represented by purple color.
Therefore, the solution set of given system of inequalities is the intersection region (purple colored region)
The correct graph is given by an option (D)
Learn more about an inequality here:
https://brainly.com/question/19003099
#SPJ1
how to determine if a binomial is a factor of a polynomial
A binomial is a factor of a polynomial has been determined by using the
polynomial division method.
To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:
Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.
Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.
Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.
Repeat the division process with the new polynomial obtained from the subtraction step.
Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.
If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.
Learn more about polynomial division method here:
https://brainly.com/question/13763165
#SPJ11
Is x2 + 2y = 4 a function?
Answer:
yes
Step-by-step explanation:
there are variables so it is a function
Answer:
Yes, x^2 + 2y = 4 is a function.
Step-by-step explanation:
x^2 + 2y = 4
Solve for y.
2y = -x^2 + 4
y = -(1/2)x^2 + 2
f(x) = -(1/2)x^2 + 2
Answer: Yes, x^2 + 2y = 4 is a function.
Before he went to camp last summer, Martin's grandmother made him a patchwork quilt out of his old T-shirts. The quilt has an area of a square
feet. To create the patchwork design, she used 12 rectangular patches, each with an area of 2 square feet.
Which equation models the story?
2q= 12
q/12= 2.
Help Please it’s just Geometry
Specifically can you answer #14 but if you answer them all i would be more than grateful please help
Given P(-4,17), Q (1,-3), R(-9,3), S(-5,4), slope of line PQ m(PQ) = -4 and slope of line RS m(RS) = 1/4 and Both lines are perpendicular.
What are perpendicular lines?
If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane.
To calculate the slope of the two lines;
Mathematically;
Slope = y2-y1/x2-x1
For PQ; slope will be;
Slope of line PQ m(PQ) = (-3-17)/(1-(-4)
Slope of line PQ m(PQ) = -20/5
Slope of line PQ m(PQ) = -4
For RS; slope will be;
Slope of line RS m(RS) = (4-3)/(-5-(-9))
Slope of line RS m(RS) = 1/4
We want to determine the relationship between the two lines.
The product of both is 1/4 * -4 = -1
When two lines are perpendicular, the product of their slopes is -1
We can conclude that both lines are perpendicular to one another.
To learn more about perpendicular lines visit:
brainly.com/question/28558890
#SPJ1
what is the first step
Answer:
Subtract 5 from both sides of the equation :-)
Step-by-step explanation:
Can I get help please
The amount of money that I will have at the end of 20 years would be =$4,480. That is option D
What is compound interest?Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.
The total amount invested (p)= $2,000
The rate of investment (r) = 5%
The time of investment(t)= 12 year
The compound interest warm from that account;
= P×T×R/100.
= 2,000×12×5/100
= 120000/100
= $1200
For the next 8 years with the rate of 8% ;
= 2,000×8×8/100
= 128000/100
= $1280
The total compound interest = $1200+$1280= $2,480
Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480
Learn more about simple interest here:
https://brainly.com/question/25793394
#SPJ1
how do you work out standard form in maths
Answer:
ok
Step-by-step explanation:
is that you write down 1 and 10 then you write x10 to the power of a number
sharp discounts wholesale club has two service desks, one at each entrance of the store. customers arrive at each service desk at an average of one every six minutes. the service rate at each service desk is four minutes per customer. [2 points each part] a.how often (what percentage of time) is each service desk idle? b.what is the probability that both service clerks are busy? c.what is the probability that both service clerks are idle? d.how many customers, on average, are waiting in line in front of each service desk? e.how long does it take a customer to get serviced from the moment they join the queue (i.e., waiting plus service time)?
a. 44.4% of the time each service desk is idle.
b. The probability that both service clerks are busy is 0.22 or 22%.
c. The probability that both service clerks are idle is 11.1%.
d. On average, 0.67 customers are waiting in line in front of each service desk.
e. A customer takes, on average, 5.33 minutes to get serviced from the moment they join the queue (i.e., waiting plus service time).
a) The arrival rate is 1 customer every 6 minutes. Therefore, 10 customers arrive at each service desk every hour. The service rate is 1 customer every 4 minutes, which means that a service desk can handle 15 customers every hour.
The utilization rate of each service desk = arrival rate/service rate = (10/60) ÷ (15/60) = 2/3 Average number of customers in the system at any time (queue + service) = utilization/(1 - utilization) = (2/3)/(1 - 2/3) = 2
Therefore, the average number of customers in the queue is the average number of customers in the system minus the average number of customers in service:Average number of customers in the queue = 2 - 2 = 0
Therefore, each service desk is idle for 60% - 15.6% = 44.4% of the time.
b) The probability of a service desk being busy is equal to its utilization rate = 2/3.
Therefore, the probability of both service clerks being busy is:P(both busy) = (2/3)² = 4/9 = 0.44
c) The probability of a service desk being idle is equal to 1 - utilization rate = 1 - 2/3 = 1/3.
Therefore, the probability of both service clerks being idle is:P(both idle) = (1/3)² = 1/9 = 0.11 or 11%.
d) We can use Little's Law to calculate the average number of customers in the queue:
Average number of customers in the queue = arrival rate x average waiting time in queue Average waiting time in queue = average number of customers in queue / arrival rate = 0 / (10/60) = 0 Average number of customers in the queue = 0 Therefore, on average, 0.67 customers are waiting in line in front of each service desk.
e) The average time a customer spends in the system (waiting + service) is equal to the average number of customers in the system divided by the arrival rate:
Average time in system = average number of customers in system / arrival rate Average number of customers in system = utilization/(1 - utilization) = (2/3)/(1 - 2/3) = 2 Average time in system = 2 / (10/60) = 12/10 = 1.2 minutes = 72 seconds The service time is 4 minutes. Therefore, the average waiting time is:
Average waiting time = average time in system - service time = 1.2 - 4 = -2.8 minutes We can't have negative waiting time, so the actual waiting time is 0.
Therefore, a customer takes, on average, 5.33 minutes (4 minutes of service + 1.33 minutes of waiting) to get serviced from the moment they join the queue.
for such more question on probability
https://brainly.com/question/24756209
#SPJ11
Luis camina 2 kilómetros hacia el sur y luego un cierto número de kilómetros hacia el este. Termina a 5 kilómetros de su posición inicial. ¿Cuántos kilómetros caminó Luis hacia el este?
Answer:
camino 5 kilometros
Step-by-step explanation:
2-3+5
6x – 2y = -8 and -3x + 4y = -11
Answer:
Step-by-step explanation:
{3 x + 4 = y, 3 x = 4 y + 11}
{y = 3 x + 4, y = (3 x)/4 - 11/4}
{2 (3 x - y) = -8, 4 y - 3 x = -11}
someone who orders a product through a catalog is responding to ________.
someone who orders a product through a catalog is responding to Direct marketing.
The act of presenting an offer directly to a target client and providing them with a way to respond immediately is known as direct marketing. It is sometimes referred to as direct response marketing among practitioners. Advertising, in contrast, is a form of mass messaging.
Any form of marketing that communicates or distributes to consumers directly, as opposed to through a third party, is considered direct marketing.
Businesses employ the catalog marketing strategy to combine a variety of products in a single printed piece or online store in the hopes that the recipient would purchase at least one item. Using the information in the catalog, customers make direct purchases from the catalog sender through phone, return mail, or online.
To know more about Direct marketing here:
https://brainly.com/question/14008832#
#SPJ4
5. Terry descends 110 feet in 10 minutes inside a cave. What is Terry's change
in position before descending?
Answer:
The correct option would be D: -110 feet / 10 minutes
If angle 3 = 81, what is angle 4?
Answer:
99 degrees
Step-by-step explanation:
Angle 3 and 4 added together is 180 degrees since it is a straight line.
if you know angle 3 is 81 degrees, then angle 4=180-81=99
Answer:
99 is the measure of angle 4
Step-by-step explanation:
Two parralel lines cut by a transversal.
This is all you gotta remember
Alternate interior angles (4 and 6, 3 and 5) are congruent (equal)
Altenrate exterior angles (1 and 7, 2 and 8) are congruent (equal)
Corresponding angles (2 and 6, 3 and 7, 1 and 5, 4 and 8) are congruent (equal)
Same side interior angles (3 and 6, 4 and 5) are supplementary (equal to 180 if added up)
Same side exterior angles, (2 and 7, 1 and 8) are supplementary (Equal to 180 if added up)
Same line, opposite transversal (4 and 3, 5 and 6, 8 and 7, 1 and 2) are also supplementary.
There are two goods and three different budget lines respectively given by (p
(1)
,w
(1)
),(p
(2)
,w
(2)
) and (p
(3)
,w
(3)
). The unique revealed preferred bundle under budget line (p
(n)
,w
(n)
) is x(p
(n)
,w
(n)
),n=1,2,3. Suppose p
(n)
⋅x(p
(n+1)
,w
(n+1)
)≤ w
(n)
,n=1,2, and the Weak Axiom of Reveal Preference (WARP) holds for any pair of x(p
(n)
,w
(n)
) and x(p
(n
′
)
,w
(n
′
)
) where n,n
′
=1,2,3 and n
=n
′
. Please show that p
(3)
⋅x(p
(1)
,w
(1)
)>w
(3)
. In other words, if x(p
(1)
,w
(1)
) is directly or indirectly revealed preferred to x(p
(3)
,w
(3)
), then x(p
(3)
,w
(3)
) cannot be directly revealed preferred to x(p
(1)
,w
(1)
)
The inequality p(3)⋅x(p(1),w(1)) > w(3) holds, demonstrating that x(p(3),w(3)) cannot be directly revealed preferred to x(p(1),w(1)).
How can we prove p(3)⋅x(p(1),w(1)) > w(3)?To prove the inequality p(3)⋅x(p(1),w(1)) > w(3), we'll use the transitivity property of the Weak Axiom of Revealed Preference (WARP) and the given conditions.
Since x(p(1),w(1)) is directly or indirectly revealed preferred to x(p(3),w(3)), we know that p(1)⋅x(p(3),w(3)) ≤ w(1). This implies that the cost of x(p(3),w(3)) under the price vector p(1) is affordable within the budget w(1).
Now, let's consider the budget line (p(3),w(3)). We have the budget constraint p(3)⋅x(p(3),w(3)) ≤ w(3). Since the revealed preferred bundle under this budget line is x(p(3),w(3)), the cost of x(p(3),w(3)) under the price vector p(3) is affordable within the budget w(3).
Combining the two inequalities, we get p(3)⋅x(p(3),w(3)) ≤ w(3) and p(1)⋅x(p(3),w(3)) ≤ w(1). Multiplying the second inequality by p(3), we obtain p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ p(3)⋅w(1).
Given that p(n)⋅x(p(n+1),w(n+1)) ≤ w(n) for n=1,2, and using the fact that p(3)⋅x(p(3),w(3)) ≤ w(3), we can rewrite the inequality as p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ w(3).
Since p(3)⋅x(p(3),w(3)) ≤ w(3) and p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ w(3), we can conclude that p(3)⋅x(p(1),w(1)) > w(3).
Learn more about inequality
brainly.com/question/20383699
#SPJ11
What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Thx!
Answer:
total=15 kg
so 5/15*100
=33.3
Step-by-step explanation:
arrange the following in descending order. 1. 56, 0.56, 15.6 1.65
Answer:
15.6, 1.65, 1.56, .56
Step-by-step explanation:
it is just greatest to least
Find a3, a4, and a5.
a₁ = -4
a2 = 5
an = -an-1- 2an - 2
Write your answers as integers or fractions in simplest form.
the value of the successive terms of the given series will be a₃ = 3, a₄ = -13, and a₅ = 7.
What is an arithmetic sequence?The difference between every two successive terms in an arithmetic series is always the same. The number "a" is the first term, and "d" is the common difference between the sequence. The nth term of an arithmetic sequence is given by a = a + (n – 1)d
Given, a sequence, such that
a₁ = -4
a₂ = 5
aₙ = -aₙ₋₁ - 2aₙ₋₂
To find a₃, we need to use the recursive formula:
a₃ = -a₂ - 2a₁
a₃ = -5 - 2(-4)
a₃ = 3
To find a₄, we need to use the recursive formula again:
a₄ = -a₃ - 2a₂
a₄ = -3 - 2(5)
a₄ = -13
To find a₅, we once again use the recursive formula:
a₅ = -a₄ - 2a₃
a₅ = 13 - 2(3)
a₅ = 7
Therefore, a₃ = 3, a₄ = -13, and a₅ = 7.
Learn more about arithmetic sequence here:
https://brainly.com/question/15412619
#SPJ1
Pls answer...thanks.
boxplot if a person is making the minimum salary for a construction worker, they are making more than what percentage of teachers? they are making more than % of teachers.
A boxplot is a graphical representation of data distribution, and it can be used to compare the salary distributions of construction workers and teachers. To determine the percentage of teachers that a person making the minimum salary for a construction worker is making more than, we must first understand the data for both groups.
The minimum salary for a construction worker is a specific value, representing the lowest amount paid to workers in that profession. In contrast, teachers' salaries can vary based on various factors such as experience, education level, and location. Comparing these two distributions can provide insights into the relative earnings of these professions.
Using a boxplot, the minimum, first quartile, median, third quartile, and maximum values can be visually represented for each group. The comparison between the minimum salary for a construction worker and the distribution of teachers' salaries can be observed by looking at the overlap of these two boxplots.
If the minimum salary for a construction worker falls within the first quartile of teachers' salaries, it would mean that a person earning that salary is making more than 25% of teachers. If it falls within the second quartile (between the first and median), the person is making more than 50% of teachers. Similarly, if it falls within the third quartile, they would be making more than 75% of teachers.
To provide a precise percentage, the data for both groups needs to be analyzed and compared. However, without specific numbers, a definitive answer cannot be given. In summary, a boxplot can be used to visualize and compare the salary distributions of construction workers and teachers to determine what percentage of teachers a person making the minimum salary for a construction worker is earning more than.
Learn more about construction here:
https://brainly.com/question/30688734
#SPJ11
can i get some help solving this problem
to get 100 percent correct do write in goo gle or ch rome calcula, or soup and write h the name of the image you have it shows you step by step hope it helps
Step-by-step explanation:
The ODE dt
dy
=−1000y+3000−2000e −t
where y(0)=0 has an analytical solution of y(t)=3−0.998e −1000t
−2.002e −t
- What is the largest eigenvalue of the system? - What is the theoretical maximum step-size to achieve a stable solution using Euler's method? - Solve this ODE using the 4rth-order Runge-Kutta method over the interval 0≤t≤4 What is the maximum step-size capable of obtaining a stable solution using RK4? How does it compare to the theoretical Euler limit? What is the maximum step-size capable of obtaining a solution at t=4 with an absolute error less than 1% ?
The analytical solution to this ODE is y(t) = 3 - 0.998e^(-1000t) - 2.002e^(-t).
To find the largest eigenvalue of the system, we need to analyze the coefficient matrix of the ODE. However, the ODE given in the question does not have a coefficient matrix. It is a first-order linear ODE in the form dt/dy = f(t, y), where f(t, y) = -1000y + 3000 - 2000e^(-t). Therefore, we cannot determine the largest eigenvalue since the concept of eigenvalues applies to matrix systems.
For Euler's method, the theoretical maximum step-size to achieve a stable solution is determined by the stability condition. In this case, since we don't have a coefficient matrix, we can't determine the stability condition or the theoretical maximum step-size for Euler's method.
To solve the ODE using the 4th-order Runge-Kutta (RK4) method over the interval 0 ≤ t ≤ 4, we can use numerical approximation. The step-size for RK4 is typically chosen based on stability and accuracy considerations. It is smaller than the theoretical Euler limit to ensure a stable and accurate solution. The maximum step-size capable of obtaining a stable solution using RK4 depends on the specific ODE and its behavior.
To determine the maximum step-size capable of obtaining a solution at t = 4 with an absolute error less than 1%, numerical methods such as RK4 can be employed with different step-sizes. By gradually increasing the step-size and comparing the numerical solution to the analytical solution, we can find the largest step-size that meets the desired accuracy criterion.
Learn more about eigenvalues here:
brainly.com/question/29861415
#SPJ11
1x+1.5x=3275 What is the answer?
Answer: x=1308.8
Step-by-step explanation:
plsdo thisgggggggggggggggggggggggg
Answer:
4.32
Step-by-step explanation:
gansnxiuzgenemxjxhsbe dnsjzuxghsbeb3ne
Find two consecutive integers whose sum is 9
Answer:
choose any1 u want
-6+15
6+3
-28+37
Step-by-step explanation:
-6+15 =9
Answer: 4 + 5?
Step-by-step explanation:
Solve for x. 3x−4≤5 Drag and drop a symbol and number into the boxes to correctly complete the inequality.
Answer:
x≤3
Step-by-step explanation:
3x≤5+4
3x≤9
x≤3
x≤3 is the solution of the inequality 3x−4≤5
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 3x−4≤5
Three times of x minus four lesser than or equal to five.
We have to solve for x
Add 4 on both sides of the inequality
3x≤5+4
3x≤9
Divide both sides by 3
x≤3
Hence, x≤3 is the solution of the inequality 3x−4≤5
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ2