Math - Others Questions

5 t 5 grapi 5 4 3 2 S 7 3 No w 2 2 345 5 5 3 2 5 4 3 2 1 2 par 345 4 5 4 3 2 Pe 1 2 3 4 5 1 2 3 tion Not all equations will be used All graphs shown a b C d e a t t cos t ly t t sin t x t t y t 1 x t 2 cos t y t sin t x t t t y t x t t y t t

Find the magnitude of the projection of 4 7 onto the vector 1 6 Round your answer to at least one decimal place if needed Submit Question

A ferris wheel is 96 feet in diameter and boarded from a platform that is 4 feet above the ground The six o clock position on the ferris wheel is level with the loading platform The wheel completes one full revolution every 12 4 minutes At 1 0 you are at the three o clock position and begin to descend Suppose the height A in feet of the Ferris Wheel car at time t in minutes is given by h f t a Which of the following graphs best fits the model N N N N n b The period of fir is Number c The amplitude is Number O d The midline is y Number e In the graph in part a the maximum of the graph in the first cycle first occurs when A Number Number

Ha 3 2 1 4 3 2 1 2 3 4 5 1 2 3 4 The graph below can be represented by parametric equations of the form x t a cos t y t b sin t If a and b are positive values a Question Help Video and b

If x x x then what is the value of a 1 2 A B C 1 D 4 3

Let a 3 5 and b 0 k Find k so that a and b will be orthogonal form a 90 degree angle 772 k Submit Question

6 5 4 b O C 6 d 5 14 13 2 The plot above is created with the parametric equations x t a cos bt ly t c sin dt To acheive this graph a 2 3 1 2 3 4 of

Let a 5 5 and 6 2 5 Find the angle between the vector in degrees Round your answer to at least one decimal place if needed Question Help Video Submit Question

Let 1 1 and 6 1 1 Find the angle between the vector in degrees Round your answer to at least one decimal place if needed Question Help Video Submit Question

Find R and 8 given the components R 4 788 and R 8 008 R 9 330 Round to the nearest thousandth as needed 8 Type your answer in degrees Use angle measures greater than or equal to 0 and less than 360 Round to the nearest tenth

Find R and 8 given the components R 4 788 and Ry 8 008 R 9 330 Round to the nearest thousandth as needed 0 Type your answer in degrees Use angle measures greater than or equal to 0 and less than 360 Round to the nearest tenth

Let 4 5 and b 3 k H Find k so that a and b will be orthogonal form a 90 degree angle k Submit Question

u Write the vector shown below as a combination of vectors u and 7 shown above

Write the vector shown below as a combination of vectors and shown above Vector u U 15

An example of a quartic function f x with zeroes 2 0 1 4 and such that f x as X is Of x x x 2 x 1 x 4 Of x x x 2 x 1 x 4 Of x x x 2 x 1 x 4 Of x x x 2 x 1 x 4

With the given set of components find R and 0 R 713 R 216 R Round to the nearest integer as m

The vector u has length 16 and points at an angle of 10 The vector has length 12 and points at an angle of 30 Round your answer to at least one decimal place if neede

3 For each of the following matrices write down the quadratic form and decide with proof whether the matrix is positive definite a 4 marks b 4 marks B A 9

CAN STRUKTY Do you know what ills are Maybe look that term up before answering this question STLASE

Question 1 Mandatory 1 point Refer to the graph below Which statement is false 10 The degree is even The degree equals the number of turning points It has a minimum value The leading coefficient is positive

Which of the following graphs will have positive leading coefficients check all that apply 4 t

2 tx By expanding in a Maclaurin series and integrating term by term show that Mx t f x dx 1 t 2 e e Expand ex in a Maclaurin series ex 1 tx 22 2 tx Write the first term of the product ef x using the Maclaurin series f x 88 TH

Which of the following are graphs of polynomia functions check all that apply K

Show that the rth moment about the origin of the gamma distribution is u Hint Substitute y Extract the constants out of the integral 8 S y 10 0 Simplify your answer H r I a X in the integral defining u and then use the gamma function to evaluate the integral How does p r x r I dy follow from this result OA The integral is the gamma function with argument o OB The integral is the gamma function with argument r OC The integral evaluates as p p r a r I a The integral is the gamma function with argument a r MILKUR W

The accompanying data set available below shows the amount of phosphates per load of laundry in grams for a random sample of various types of detergents used according to the prescribed directions For the given phosphate data find a the mean b the median c the mode Click the icon to view the phosphate data a x 34 42 Round to two decimal places as needed b x 32 5 Round to two decimal places as needed c Select the correct choice below and if necessary fill in the answer box to complete your ans OA There is one mode The mode is Do not round B There is more than one mode The modes are Use a comma to separate answers as needed Do not round OC There is no mode Help Phosphate Data re 7 41 0 67 of 9 points Points 0 33 of 1 Laundry Detergent ABCDEFGHISKL Phosphates per Load grams 51 46 43 43 42 35 30 26 25 25 25 22 Sav

Closing Entries with Net Loss Summit Services Co offers its services to individuals desiring to improve their personal images After the accounts have been adjusted at May 31 the end of the fiscal year the following balance were taken from the ledger of Summit Services Fees Earned Dividends Rent Expense Retained Earnings Supplies Expense Wages Expense Miscellaneous Expense Journalize the closing entries required to close the accounts If an amount box does not require an entry leave it blank May 31 Fees Earned 207 000 Retained Earnings Wages Expense Rent Expense Supplies Expense Miscellaneous Expense May 31 Retained Earnings 207 000 29 000 43 200 460 000 10 600 181 700 5 100 Dividends 397 400 X 0 0 0 0 29 000 0 0 0 181 700 43 200 10 600 5 100 0 29 000

Available Jun 25 at 11 59pm Jul 3 at 11 59pm A data set is summarized in the frequency table below Using the table determine the number of values less than or equal to 7 Value 2 3 4 5 6 7 8 9 19 Frequency 4 6 2 3 9 5 4 3 5

Moment The moment generating function of the random variable X having a chi squared distribution with v degrees of freedom is My t 1 21 show that the mean and variance of the chi squared distribution with v degrees of freedom are respectively v and 2v Express the mean of X u in terms of a moment about the origin of X P P1 This moment about the origin can be found by evaluating Mx 0 0 For any value of t the derivative identified in the previous step is Use

Let X have the probability distribution f x J UP 1 0 x 1 0 elsewhere y 1 2 3 Use integers or fractions for any numbers in the expression 1 2 What formula can be used to find the probability density function of Y OA g y f w y J f w y J B g y Show that the random variable Y 2 In X has a chi squared distribution with 2 degrees of freedom OC g y f w y J D g y f w y Now find the probability density function of Y for y 0 A

Let X have the probability distribution f x J c g y f w y J D g y f w y J Now find the probability density function of Y for y 0 g y 1 0 x 1 0 elsewhere 2 Show that the random variable Y 2 In X has a chi squared distribution with 2 degrees of freedom Use integers or fractions for any numbers in the expression How does this show that y 2 In x has a chi squared distribution with 2 degrees of freedom OA The probability density function of Y g y is the antiderivative of the chi squared distribution function c y 2 OB The probability density function of Y g y is the inverse of the chi squared distribution function c y 2 OC The probability density function of Y g y is the chi squared distribution function c y 2 tu function of Y q y is the derivative of the chi squared distribution function c y 2

By expanding e tx Expand e in a Maclaurin series exx tx 2 in a Maclaurin series and integrating term by term show that My 1 f x dx 1 l I f H 2 e 8 tx 2x 2 te tx 1 te 2 2x 2 2x 21 2 2x te 2 t x r t e r t x r t ex r

By expanding in a Maclaurin series and integrating term by term show that Mx t 1 x dx 1 t 1 x dx 1 l 2 Write the third term of t 1 x 2 21 3 Using the definition of the expected value of a continuous random variable X and then moving all constants outside the integral the integral of the second term can be rearranged as t f x f x dx f x Using the definition of 80 the rth moment about the origin the expected value 00 the moment generating function rearranged as 1 x dx 2 00 CRECE of a continuous random variable X and then moving all constants outside the integral the integral of the third term can be

The moment generating function of the random variable X having a chi squared distribution with v degrees of freedom is Mx t 1 2t show that the mean and variance of the chi squared distribution with v degrees of freedom are respectively v and 2v Express the mean of X u in terms of a moment about the origin of X P This moment about the origin can be found by evaluating My 0 For any value of t the derivative identified in the previous step is v 1 2t Evaluating this expression at Simplify your answers yields Thus the mean of the chi squared distribution with v degrees of freedom is v Use this moment generating function

OSCAGC05501q054P The path of an object projected at a 45 degree angle with an initial velocity of 80 feet per second is given by the function h x where z is the horizontal distance traveled in feet and h a is the object s height in feet 32 x x 80 Use a graphing calculator or another graphing utility to determine the height of the object when it has traveled 60 feet horizontally Give your answer to the nearest tenth of a foot

By expanding e in a Maclaurin series and integrating term by term show that My t Since f x is a probability distribution Using the definition of the Write the second term of the product ef x using the Maclaurin series tx f x as t 00 S 00 S x 10x dx fju 00 CE f x dx 1 expected value Write the third term of the product e f x using the Maclaurin series 00 GEIXE 2 1x dx 1 2 of a continuous random variable X and then moving all constants outside the integral the integral of the second term can be rearrange

2 By expanding e in a Maclaurin series and integrating term by term show that Mx 1 f x dx 1 ut 2 tx Expand e in a Maclaurin series tx tx 22 00 XX 81

The grade point averages of 20 college seniors selected at random from a graduating class are in the accompanying data set available below Calculate the standard deviation Click the icon to view the grade point averages The standard deviation is s Round to two decimal places as needed Grade Point Averages 1 7 1 9 3 4 3 7 1 9 2 4 3 5 2 1 3 3 2 0 3 6 3 2 3 2 3 5 2 2 2 8 2 9 3 5 2 5 2 2 D X

The reaction times for a random sample of 9 subjects to a stimulant were recorded as shown below 2 3 2 7 3 8 2 1 2 8 2 2 3 1 3 7 4 3 Calculate a the range 1 b the variance using the formula of form s n 1 n x x 1 1 a R 2 2 Type an integer or a decimal Do not round b s Round to two decimal places as needed 27

he reaction times for a random sample of 9 subjects to a stimulant were recorded as shown below 4 3 2 3 2 7 3 8 2 1 2 8 2 2 3 1 3 7 Calculate the range the variance using the formula of form s S 1 1 Type an integer or a decimal Do not round

1 For sample values x X X the sample variance is s n 1 a Show that the sample variance is unchanged if a constant c is added to or subtracted from each value in the sample b Show that the sample variance becomes c times its original value if each observation in the sample is multiplied by c Each x a If a constant c is added to or subtracted from each value in the sample how do the sample values x change becomes X C n 1 x x where x x is the sample mean n i 1 i 1 becomes cx remains unchanged TE

Find R and 0 given the components R 8 137 and R 0 083 R Round to the nearest thousandth as needed Type your answer in degrees Use angle measures greater than or equal to 0 and less than 360 Round to the nearest tenth as needed

p r a r Show that the rth moment about the origin of the gamma distribution is a Hint Substitute y H X in the integral defining u and then use the gamma function to evaluate the integral Start with the definition of the rth moment of a random variable with a probability distribution f x JOrx dx 0 Simplify your answer Next question

Next qu The hospital period in days for patients following treatment for a certain type of kidney disorder is a random variable Y X 6 where X has the following density function Cor parts a and b 72 1 x x 6 0 g y 3 X 0 a Find the probability density function of the random variable Y 10 Y 20 0 elsewhere elsewhere

Determine the amplitude period and displacement of the given function Then sketch the graph of the function y 2cos The amplitude is The period is The displacement is Type an exact answer using a as needed Use integers or fractions for and numbers in the expression Choose the correct graph OA 2x Q G B Q 5 O C Q D Q E

who apply for graduate school usually must take the GRE exam The following boxplots were constructed from GRE quantitative scores which take values between 130 and 170 of men and women at a state college A B D E T 140 Which of the following is a possible boxplot for the combined score of all the students 140 140 Men 140 Women 150 150 150 140 150 160 160 160 150 160 170 170 170 170 160 THO 170

This is a student s attempt to solve for c I need to explain what the student did right and what they did wrong I have determined that they attempted to use the Bisector Theorem but I am having a hard time explaining it Can you please give me some tips Thank you Student Solution 2 3 10 cos 60 2 1 2 7 2 20 5 C E 2

Convert 40 degrees to radians Convert 11 T 9 to degrees I radians degrees

For each of the following angles find the radian measure of the angle with the given degree measure you can enter as pi in your answers 250 290 170 80 260

a B Find a 11 6 Note Triangle may not be drawn to scale Suppose c 12 and A 75 degrees b 2 5 B 15 b IL C A X 00 00 degrees

5TT 4 Convert the angle from radians to degrees A dogrogr