5- If X, ~B(6,1/3) ,X, ~B(8,1/3), X, ~B(10,1/3) , then Y = E X, ~
Q: 11. A = {a, e, i, o, u} 12. B = {2, 3, 5, 7, 11, 13, 17, 19, 23,... } 13. C = {1, 3, 5, 7, 9, 11,…
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Q: OB + - - . — (x − ¹)² 2 (x − 1)³ + −6 (x − 1)4 24 (x − 1)³ + - ¸ + + + 3! 5! 720 (x − 1)² + 1) -5040…
A: Given : The given expression is ; 00!+x-11!+ -x-122!+2x-133!+-6x-144!+24x-155!+ -120x-166!+... To…
Q: 3. 5y“ y = 5y^2 4. 4x*y°m', 8xy°m', x’y´m 4 3 7 т, 5 3 т, 5.2, а, ь, с b’, c
A: LCM : least common multiple of two or many number is known as LCM . 3. LCM of 5 y2 , y = 5y2…
Q: 45° 27 v2 27 27/2 54 54/2 L- - J
A: topic - trigonometric ratios
Q: Find the center of mass of the given system of point masses lying on the x-axis.
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Q: 1000, 1000 20 40 40 - * - - - 100 100 v2 2040 40 '2040 20 40 -GM • M3 - 2000 , 2000 60 1 15 '15 5 60…
A: Here we simplify the given system and then use elimination method to solve the system of equation.…
Q: Use the given graph of y = f(x) to graph the function g : g(x) = 1/2f(2x)
A: g(x) = 1/2f(2x) means f(x) compressed vertically by 1/2 and compressed horizontally by 1/2.
Q: (x, y) - (-y, x) 4- (x, y)- (. -x) -8 4. (x, y) - (-x, y)
A: A reflection of a point over the y-axis is shown .
Q: 1) y%= (ans.: max.(1,0.5); min.(-1,-0.5)) 1+ x in (2 3-50,8))
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Q: 1. y,"+ 8y, + 16y, = 0, y,(0) = 1, y, (0) = 0
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 2х, — Зх, + 2х, 3 —14 b) {3x, + x2 — 5х3 + 3x4 3D 1 (4х, — 2х, — 5xз — 3х4 %3D2.
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Q: Xi = 5,10,15,20,25, Yi = 125,200,300,400,500, Find: E-, 25 + X; /Y; i=1
A: Given data : Xi Yi 5 125 10 200 15 300 20 400 25 500 We have to find :…
Q: 6X-1 4X+1 X+7<6X=1 6 OX<-89/2 (-∞, - 89/2) OX<-89 (∞, -89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2, ∞)…
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Q: D(-4, 3), E(-2, 3), F(-1, 1), G(-4, 1) 11) and L(1, –1), M(3, –1), N(6, –3), P(1,–3)
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Q: (2) juhäi 2 x 2 and D A-B and d,2 1, d31 =-2 then 1. • If A = -3 B 0 4 1. x 1,y% -1 2. x -1,y 1 3.…
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Q: ween z= 1.42 and z= 2.17
A: The required area between the z= 1.42 and z= 2.17 can be found by using the standard normal table.…
Q: Find the value of the sum. Eyfx-7,x,--Lx, - 6, x, = -9 X3 = 6, x, %3D
A: Given that: x1=7, x2=-1, x3=6, x4=-9
Q: 1- Y(A,B,C,D)={(6,14,4,12,9,11,1,3) 2- Y(A,B,C,D)= E (5,7,13,15,2,10) 3- Y(A,B,C,D)= E…
A: Summation (6,14,4,12,9,11,1,3) = (6+14+4+12+9+11+1+3) = 60
Q: If x= (5,-1,2), y=(1,-1,1) then x × y is
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Q: --L-1 10 ----- 8 2 -10 -8 –6 -4 -2 0 2 10 -2 III I --L-1-, -6 -L-1 -8 -I- - - --10 -I- --L. L-1. 4.
A: Domain of the graphed function is the set of values on x-axis from left to right.
Q: Explain the difference between o and oz and between ju and u The quantity u is the -Select- quantity…
A: Introduction: Denote X as the random variable of interest. Suppose a sample of size n is taken from…
Q: 14. 음> x-3 x+1 (-∞, –7) U (–1, 0) b. (-∞,–1) U (3, ∞) c. (-7,–1) U (3, ∞) d. (-7,–1] U [3, ∞) a.
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Q: 8. A (5+, 10-) where A-Z 9. Ax [5+, 10-] where A = Z' 10. Ax=(1, 10) where A = (0,1)
A: These are the problems from the Set Theory.
Q: Divide 120 into three parts so that the sum of their products taken two at a time maximum. If x, y,…
A: Apologies. We only answer one question at a time. We will answer the first one as the exact one…
Q: tion 10 37 = 1 8z + 9 or z:
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Q: 0,6 (2,943 +((20 . so0 X)(1 - V0,36+ X 0,6 0,9
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Q: . The fastest growing university in the country is the E University. The student populations…
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Q: 13. sec2V 3
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 7/8+ VTz) 8) (J6- v3(3 + V18) 7)
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Q: (-a + 5)(x – 1) = y O(-5,0) O (0, 5) and (0, 1) O (5,0) and (–1,0) O (5,0) and (1,0) O (0, 5) О (),…
A: (-x+5)(x-1)=y
Q: 2) а 3-15552 and a, %3D-2 9. А) -2, 6, —18, 54, —162 В) -2, —12, —72, -432, -2592 С) 2, 6, 18, 54,…
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Q: A transmission line between two pylons hangs so that it’s height is described by y = 30 cosh(x/30)…
A: Putting y=60 solve for x:
Q: 1. 2, 3. 4 O mz1 + mz4 = 180 O mz2 + mz3 = 180 O 23 E 4 O 1 22
A: According to given, m∠1+m∠4= 180°. 1 and 4 are complementary corresponding angles. Therefore, Option…
Q: 2. If z = x+iy = (x, y) then (2,-3)(-2, 1) is A. (1,8) C. (-1,-8)
A: Given, z = x + iy = (x,y) To find (2,-3)(-2,1)
Q: ++31 + 4, if x s-3 f(X) = < 4, if-3 <xs2 x?, if x 2 2 5.
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Q: Estimate f(2.1, 3.8) given that f(2, 4) = 6, fx(2, 4) = 0.9, and f,(2, 4) = -0.2.
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Q: 7. Ax (5+, 10+) where A-Z*
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Q: Мах 12х, + 18х, + 10х; s.t. 2х, + Зх, + 4х; 0 х, - 1.5х; > 0 X1, X2, X3 > 0
A: Solving using Simplex method. Converting the problem into standard form by introducing slack,…
Q: log, () O log, a - log, y – 6 log, z | O 3 log, x + log, y + 6 log, z O log, æ + log, Y – 6 log, z O…
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Q: 6X-1 4X+1 X+7< 6 OX<-89/2 (-∞, - 89/2) O X<- 89 (00,- 89) O X<-2/89 (-∞, -2/89) O X<∞ (89/2, ∞) 8
A: x+7<6x-14-4x+16x+7<6(6x-1)-4(4x+1)4×6x+7<36x-6-16x-424x+7<20x-1024Multiply 24 on both…
Q: 5. MuHiply L 7 H 48 5. 24 -13 S 48 -3 3 5 | 16 stej (२२ 45-7j रिर 6-50 bt staj_ 1 16 F Gj दा 12 - 10…
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Q: C1: (7t, 2 + t, 4 – 3t), for t E (-∞,0) and Lz: (3 – s, 5,6 + 2s), for s e (-00, 00) L1: (1 + t,1 –…
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Q: 1, 3 6, х, %3D (1, 0, 0) 12 = 4, x, = (1, 2, 0) 13 = 5, x3 = (-8, 1, 1) 6 -1 9 A = 4 1 0 5
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Q: A forest consists of two types of trees: those that are 0-5 ft and those that are taller than 5 ft.…
A: Transition probability matrix gives the probability of transitioning from one state to another state…
Q: 2,- ( 3,7) and 2z=(-a , s), If then 2, + 22 is ? a. (-6,35) C. (1, 35) b. (1,12) d. (-6,12)
A: Solution : Given complex numbers Z1 = (3 ,7) and Z2 = (-2,5)
Q: (4, –3) (| 4, )(r> 0) ) = 3+ 2n -) = (-4, – 3+ a )(r< 0) y y X -2.0 -1.5 -1.0 -0.5 1.0 -0.05 0.8…
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Q: 6. To the left of z=-1.38 7. To the left of z = 2.09 8. Between z -1.30 and z 1.28 MIRIAM COLLEGE…
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Q: -8 -6 4 -2 a) (-∞, 0]) U (2, 5) U [-5, ∞) O b) (-∞, 2) U (2, 5) U (5, ∞) O ) (-∞, 3] U (-4, 5) U…
A: Function
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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- Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v= v×u=7,8,9 Written out on the X form way A- B- C- X- labelconsider in exam you were told to switch off your mobiles. if you did not switched off your mobile theirs is pribabilityof 0.7 your paper shall be cancelled in exam hall 1. in exam hall2 are given membership value 0.7 if cell phone is on their, which hall you choose and why.
- Consider a Little League team that has 15 players on its roster. Suppose 6 of the 15 players are left-handed. How many ways are there to select 3 left-handed outfielders and have all 6 other positions occupied by right-handed players?The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 40% of the people who do no purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product the next month and in 2 months.Suppose 7 of the 15 players are left-handed. How many ways are there to select 3 left-handed outfielders and have all 6 other positions occupied by right-handed players?
- To inspect the quality of the screens for mobile phones produced by Company X, two separate inspection devices are used to test the screens for defects. Basically, a specific screen is tested once using the two inspection devices. Device 1 can detect the presence of defects 99.3% of the time, whereas Device 2 can detect defects 99.7% of the time. Assume that the 2 devices are operating independently from each other. One day, four defective screens were sent for inspection. Let X represent the number of screens that will be correctly tagged as defective by Device 1, while Y represents the number of screens that will be correctly tagged as defective by Device 2. Are X and Y independent? explainExercise 3: In a garden center: 25% of the plants are less than a year old, 60% are 1 to 2 years old, 25% have yellow flowers, 60% have pink flowers, 15% have yellow flowers and less than a year old , 3% are more than 2 years old and have neither yellow nor pink flowers. 15% of those who are 1 to 2 years old have yellow flowers, 15% of those 1-2 years old have neither yellow nor pink flowers. It is assumed that the flowers cannot be both yellow and pink at the same time. We choose a plant at random in this garden center. What is the probability that it is less than a year old and has pink flowers? What is the probability that she has pink flowers, given that she is over 2 years old? What is the probability that it is over two years old and has yellow flowers?A forest consists of two types of trees: those that are 0-5 ft and those that are taller than 5 ft. Each year, 40% of all 0-5-ft tall trees die, 10% are sold for $10 each, 30% stay between 0 and 5 ft, and 20% grow to be more than 5ft. Each year, 50% of all trees taller than 5ft are sold for $40, 20% are sold for $20, and 30% remain in the forest (continue growing). If a tree (less than 5 ft) is planted, what is the expected revenue earned from that tree ? Select one:a. $11.22b. $19.80c. $14.16d. $17.44e. $16.34f. $15.51
- Consider a screening system that analyzes the luggage that is being loadedto a plane. Each package first goes through a screening device. If it passes the test there, then it is loaded to the plane. If it does not, the package goes to a second screening device. The procedure is similar for the second device: if the luggage passes the test, it is loaded to the plane, if it fails, it issent to a third device. Packages that passes the test at third device are loladed to the plane, the ones that fail are taken paprt and not loaded to the plane.The screening devices i = 1; 2; 3 are not perfect. For each device, there are two risks:– With probability pi, each device erroneously passes a bag that is dangerous, given that previous devices have correctly rejected the bag.– With probability qi, each device erroneously fails a harmless bag that previous devices have also erroneously failed.Assume that pi; qi > 0 What is the probability that a dangerous package will be loaded to the aircraft?…I have a bucket of n green balls labeled 1, 2, . . . , n. I have another bucket of red ballslabeled 1, 2, . . . , m. How many combinations of five green balls and three red balls canI draw from these buckets?Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. A. If you know there are less tha 100 cookies in the package, how many cookies are there? Solve the problem, showing each step of your work, and explain your thinking. B. You decide to space out your cookie eating, and eat one cookie a day, how many weeks will one package of cookies last? C. If you eat 2 cookies a day, how many days will one package of cookies last?