(-1, -10) and (5, 2)
find the slope and find the y intercept
All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 5 passengers per minute. On Monday morning the arrival rate is 8.0 passengers per minute. Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. (a) Suppose two of the three screening stations are open on Monday morning. Compute the operating characteristics for the screening facility. (Round your answers to four decimal places. Report time in minutes.) P0 = Lq = L = Wq = ____ min
W = ____ min
Pw = (b) Because of space considerations, the facility manager's goal is to limit the average number of passengers waiting in line to 10 or fewer. Will the two-screening-station system be able manager's goal? O Yes
O No
(c) What is the average time (in minutes) required for a passenger to pass through security screening? (Round your answer to one decimal place.) ____ min
The average time required for a passenger to pass through security screening is found to be approximately 0.0612 minutes.
(a) The operating characteristics for the screening facility with two screening stations open are as follows:
P0 = 0.0196
Lq = 0.3922
L = 0.4902
Wq = 0.0490 min
W = 0.0612 min
Pw = 0.0909
(b) The two-screening-station system will not be able to meet the facility manager's goal of limiting the average number of passengers waiting in line to 10 or fewer.
The operating characteristics for the screening facility with two screening stations open are calculated as follows:
P0 = 0.0196, Lq = 0.3922, L = 0.4902, Wq = 0.0490 min, W = 0.0612 min, Pw = 0.0909.
Based on these calculations, the two-screening-station system will not be able to meet the facility manager's goal of limiting the average number of passengers waiting in line to 10 or fewer.
(c) The average time required for a passenger to pass through security screening is 0.0612 minutes.
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I need help please will markbrianlyest
Which of the following is equivalent to
60 1/2
Answer: 121/2 = 242/4=363/6
Step-by-step explanation:
PLS help me!!! (EASY) (CORRECT Answer GETS BRAINLIEST + 16 points!!)
Answer:
y = 2x + 2
Step-by-step explanation:
First you want to find the slope of the line that these coordinates make. To do this, use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the first and last points.
(0, 2) & (6, 14)
Plug in these values:
(14 - 2) / (6 - 0)
Simplify the parentheses.
= (12) / (6)
Simplify the fraction.
12/6
= 2
This is your slope.
Now plug this into the standard slope-intercept equation: y = mx + b
y = 2x + b
b is the y-intercept, or the value of y when x = 0. If y=we look at the table, we can see that when x = 0, y = 2.
Therefore, our b-value is 2.
Plug this into our equation.
y = 2x + 2
Hope this helps!
Find the coordinates of the other endpoint if the midpoint is M(8, 2) and the other endpoint is P(5, 6).
(6.5, 4)
(11, -2)
(21, 10)
Answer:
(6.5,4)
Step-by-step explanation:
First write the formula of finding the midpoint...
step 1: M=(x1+x2÷2,y1+y2÷2)
step 2:substitute for coordinates x1,x2,y1 and y2
step 3:(8+5÷2,2+6÷2)
step 4:(13÷2,8÷2)
then you get the answer...which is
step 5: (6.5,4)
im done
Answer:
(6.5,4)
Step-by-step explanation:
10. This model shows the area of a garden. Write two expressions that
represent the area.
Х
х
х
Х
х
1
1
1
1
1 1 1
1 1 1 1
1
Answer:
xxxxxxxx
111111
Step-by-step explanation:
Sorry & I really sorry
Answer:
Dont know how to explain
Step-by-step explanation:
9000 invested at 8% compounded annually. In how many years will
the account have grown to $14500
It will take approximately 6.2 years for the account to grow to $14500 when $9000 is invested at 8% interest compounded annually.
What is the time needed to acquire the accrued amount?The compound interest formula is expressed as:
\(A = P( 1 + \frac{r}{t})^{nt}\)
\(t = \frac{In(\frac{A}{P} )}{n[In(1 + \frac{r}{n} )]}\)
Where A is accrued amount, P is the principal, r is the interest rate and t is time.
Given that:
Principal P = $9,000, compounded annually n = 1, interest rate r = 8%, Accrued amount A = $14500.
Plug these values into the above formula and solve for time t.
\(t = \frac{In(\frac{A}{P} )}{n[In(1 + \frac{r}{n} )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{1*[In(1 + \frac{0.08}{1} )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{[In(1 + 0.8 )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{[In(1.8 )]}\\\\t = 6.197 \ years\)
Therefore, the time required is 6.197 years.
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Write an equation in point slope form that is parallel to AB with endpoints A (2, -1) and B (4, 5) that goes through the point (1.5, 4)
Answer:
\(y = 3x - 0.5\)
Step-by-step explanation:
Given
Goes through
\(C = (1.5,4)\)
Parallel to AB
\(A = (2,-1)\)
\(B = (4,5)\)
Required
Determine the line equation
First, calculate the slope of AB
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{5--1}{4-2}\)
\(m = \frac{6}{2}\)
\(m = 3\)
The line is said to be parallel to AB. This implies that their slopes are equal.
The equation of the line is then calculated as:
\(y = m(x - x_1) + y_2\)
Where:
\((x_1,y_1) = (1.5,4)\)
So:
\(y = 3*(x - 1.5) + 4\)
\(y = 3x - 4.5 + 4\)
\(y = 3x - 0.5\)
What is the error in the work?
Answer:
you cannot subtract 12x² from -14x they are not "like" terms
Step-by-step explanation:
5(4x - 1.5x) + 12 = 4x - 2
Answer:
-1.647058824
Step-by-step explanation:
search on googl
Answer:
x=0.6072
Step-by-step explanation:
open bracket
20x-7.5x-4x+12=4x-2
20x-7.5x-4x=-12-2
8.5x=-14
x=0.6072
h-4/j = k for j solve for the indicated variable
Answer:
j = -4/(k - h)
Step-by-step explanation:
h - 4/j = k
use inverse operation
h - 4/j = k
-h -h
-4/j = k - h
*j *j
-4 = j( k - h )
/( k - h ) /( k - h )
-4/( k - h ) = j
Ethan is watering his plants. He starts with a watering can filled with 32 ounces of water, and he pours 3.5 ounces onto each plant. When Ethan finishes watering his plants, he has 14.5 ounces of water left. How many plants does he have? Write and solve an equation to find the answer.
The number of plants Ethan has are 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of plants Ethan has.
Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.
If he starts with 32 ounces of water and ends up with 14.5 ounces
Total of 32 - 14.5 = 17.5 ounces of water.
As given the amount of water used is equal to the amount of water per plant times the number of plants:
3.5x = 17.5
Divide both sides by 3.5
x=5
Hence, , Ethan has 5 plants.
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14. There are 12 marbles in a bag. Of these, Four of them are blue and the rest are green. You reach into the bag and take out two marbles without looking. What is the probability that both marbles are blue? Round to the nearest whole percent.
Answer:1/4
Step-by-step explanation: im sry if im wrong
The probability that both marbles are blue is 9 percent.
It is given that 12 marbles in a bag, four of them are blue and the rest are green.
To find the probability that both marbles are blue.
What is probability?The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Let both the marble be blue for event A.
P(A)=2C4/2C12 (combination formula)
=6/66
=1/11
≅0.09
=9percent.
So ,the probability that both marbles are blue is 9 percent.
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Solve one fourth ÷ 7 = __
Answer:
1/28
Step-by-step explanation:
1/4 divided by 7 is 1/28
4x7 is 1/28
what is the square root of a perfect square always rational
Answer:
The square root of a perfect square will always be a whole positive or negative number
Step-by-step explanation:
What is problem number 2??
Answer:
QR
Step-by-step explanation:
The question is just trying to see if you can read the order of the lines.
PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ
Answer
YZ is the second and third letters of xyz.
QR are the 2nd and 3rd letters of PQR
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
Please help me answer this question!
Answer:
D. -3 and 3
Step-by-step explanation:
We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.
Option A:
If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.
Option B:
As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.
Option C:
If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.
Option D:
We know that -3 is a possible input so we just need to check 3 as an input.
If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.
Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.
Best of Luck!
Quinn is reading about safety equipment. In which situation will he find this knowledge most useful?
when operating power tools
while taking the dog for a walk
when walking to a friend’s house
while doing his homework on a computer
Answer:
a
Step-by-step explanation:
.Find the largest subset S on which the given vector - valued function is continuous?
F = ( t/9+t^4, 7t^2-7t+1, ln (t+3))
.
The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).
To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.
Component 1: f1(t) = t/(9 + t^4)
This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.
Component 2: f2(t) = 7t^2 - 7t + 1
This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.
Component 3: f3(t) = ln(t + 3)
The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.
Taking all these considerations into account.The function is continuous for all values of t greater than -3.
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let b=b1, ... , bn be a basis for a vector space v. explain why the b-coordinate vectors of b1, ... , bn are the columns e1, ... , en of the n×n identity matrix.
In a vector space V, a basis is a set of linearly independent vectors that span the entire vector space. Let's consider a basis B = {b1, b2, ..., bn} for vector space V.
The b-coordinate vectors of b1, b2, ..., bn represent the coordinates of these basis vectors with respect to the basis B. In other words, they represent how each basis vector can be expressed as a linear combination of the basis vectors in B.
Now, let's consider the standard basis for an n-dimensional vector space, which consists of the n column vectors e1, e2, ..., en of the n×n identity matrix. Each column vector ei has a 1 in the ith position and 0s in all other positions.
To show that the b-coordinate vectors of b1, b2, ..., bn are the columns e1, e2, ..., en of the n×n identity matrix, we need to demonstrate two key properties:
Linear Independence: The basis vectors b1, b2, ..., bn are linearly independent, which means no vector in the set can be written as a linear combination of the other vectors. Similarly, the column vectors e1, e2, ..., en of the identity matrix are linearly independent.
Spanning: The basis vectors b1, b2, ..., bn span the entire vector space V, which means any vector in V can be expressed as a linear combination of the basis vectors. Similarly, the column vectors e1, e2, ..., en of the identity matrix span the n-dimensional space.
Since both sets of vectors satisfy these properties, it follows that the b-coordinate vectors of b1, b2, ..., bn are indeed the columns e1, e2, ..., en of the n×n identity matrix.
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What is the least common multiple (LCM) of 15, 24 and 27?
Answer:
1080
Step-by-step explanation:
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110
Multiples of 24:
24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128
Multiples of 27:
27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864, 891, 918, 945, 972, 999, 1026, 1053, 1080, 1107, 1134
Therefore,
LCM(15, 24, 27) = 1080
hope it helps :)
The two wires are connected together at A. If the force P causes point A to be displaced horizontally 2 mm, determine the normal strain developed in each wire. 300 mm 30 30 300 mm 8
The normal strain experienced by each wire is 0.00578 mm.
L'AC=√300²+2²+2(300) (2) cos50°=301.734 mm
AC=AB
=(L'AC - LAC) /LAC =(301.734 - 300) /300 = 0.00578mm
About StrainStrain is the relative change in size or shape of an object that is experiencing stress. Strain can be defined as the ratio between the increase in the length of the object to the length of the initial object. In addition, strain is a measure of how far the object changes shape.
Mathematically it is written as:
Strain = ΔL/L
where:
ΔL = change in length (m)
L = initial length (m)
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can someone plz help me I need the answer asap
Answer:
no. c is the correct answer
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
Amir needs to use how many ?
tablespoons of olive oil.
Answer:
Step-by-step explanation:
^^lol can u post the question wait a min i took this it’s 32 tablespoons
100 points.
My teacher asked for me to specify which two theorems I used. And I don't know. Here is my work can someone help please.
Isosceles Right Triangle Reflection to prove ASA Congruence
1. Answer the following questions:
A. What line of reflection did you choose for your transformation?
- I used the y-axis as my line of reflection.
B. How are you sure that each point was reflected across this line?
- I am sure because the sides are all opposite, but the numbers stayed the same.
C. What reflection rule did you apply to your triangle?
- (x, y) ➟ (-x, y)
2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
- I learned that if two sides of my triangle are congruent then the angles opposite of them are congruent as well. The third angle is 90 degrees.
3. Did your triangle undergo rigid motion? Explain why.
- Yes, it did. It did because the distance and position stayed the same while the points and the plane moved.
Answer:
Actually you did everything right
Step-by-step explanation:
yes
This question requires proving congruency of triangles in a given co-ordinate system we by use of ASA(angle side angle) theorem.
Types of triangles and it's properties.An isosceles right angle triangle has two equal sides and the corresponding angles will also be equal it will be of 45° - 45° - 90°.
The hypotenuse will be \(\sqrt{2}\) times of the equal sides.
A. We have chosen x-axis as a line of refection.Reflection along x-axis idicates rotation of 180° along x axis.
B. We are sure that each point is reflected accross this line because base has same magnitude but the signs have changed and rotation along x-axis doesn't change the value of y co-ordinate.
C. Rotaion along X-axis by 180°.
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please help me on this
Answer: True
Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median
Jackson is working two summer jobs, making $10 per hour washing cars and $12 per hour landscaping. Last week jackson worked a total of 14 hours and earned a total of $152. Determine the number of hours jackson worked washing cars last week and the number of hours he worked landscaping last week.
The number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours
The payment of car washing per hour = $10
The payment for landscaping = $12
Total number of hours worked = 14 hours
Number of hours worked in car washing = x
Number of hours worked in landscaping = y
Then the first equation will be
x + y = 14
x = 14 - y
Total amount he earned = $152
Next equation will be
10x + 12y = 152
Here we have to use substitution method
10(14-y) + 12y = 152
140 - 10y +12y = 152
140 + 2y = 152
2y = 152 - 140
2y = 12
y = 12/2
y = 6 hours
Then
x = 14 - y
x = 14 -6
x = 8 hours
Hence, the number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours
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