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Mathematics Questions and Answers March 05, 2021

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Question 1 : A long line of cars waits in traffic on the E 6 . When a car starts to move, the car behind it starts to move with a delay ( gecikme ) , because of the reaction time of the driver. This delay is normally distributed with mean 2 . 3 seconds, and standard deviation 0 . 6 seconds. a ) What is the probability that the delay in starting to
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2 ) Donny draws five cards in a row without replacement from a regular 5 2 deck of cards. What is the probability that he gets exactly two aces?

Use the four - step process to find the slope of the tangent line to the gr f ( x ) = 1 6 - 2 x Step 1 : f ( x + h ) = Step 2 : f ( x + h ) - f ( x ) = Step 3 : f ( x + h ) - f ( x ) h = Step 4 : f ' ( x ) = lim h 0 f ( x + h ) - f ( x ) h =
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Consider the curve given by the equation \ [ xy ^ 2 + 5 xy = 5 0 \ ] . It can be shown that \ [ \ dfrac { dy } { dx } = \ dfrac { - y ( y + 5 ) } { x ( 2 y + 5 ) } \ ] . Write the equation of the vertical line that is tangent to the curve.

The following table displays a frequency distribution for the number of crew members on each shuttle mission over a 1 0 - year period. Let x denote the crew size on a randomly selected shuttle from this time period. \ table [ [ Crew size, 4 , 5 , 6 , 7 , 8 ] , [ Frequency , 2 , 3 , 3 1 , 2 0 , 1 8 ] ] a . Obtain the probability distribution of x .
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I am trying to find out is the impact of covid 1 9 on volatility of shariah compliant stock index and on non shariah compliant stock index is different . . . This was the research question i have to answer and here is the table i got after running the data on eview Rir means real interest rateMgr means money supplyInflation and oil prices These
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Find the intervals of increase or decrease together with the concavity information of the function f ( x ) = x 3 - 6 x 2 + 1 0 .
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QUESTION 9 \ table [ [ Annual Fund Returns Over the Past 1 0 Years, ] , [ Year , Return ( % ) ] , [ 1 , 4 . 5 ] , [ 2 , 6 . 0 ] , [ 3 , 1 . 5 ] , [ 4 , - 2 . 0 ] , [ 5 , 0 . 0 ] , [ 6 , 4 . 5 ] , [ 7 , 3 . 5 ] , [ 8 , 2 . 5 ] , [ 9 , 5 . 5 ] , [ 1 0 , 4 . 0 ] ]
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Find all solutions to the system using the Gauss - Jordan elimination algorithm. x 1 + x 2 + x 3 = i 2 x 1 + 3 x 2 - i x 3 = 0 x 1 + 2 x 2 + x 3 = i Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
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Please show your work & answer 1 & 2 please!!
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Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f ( x ) = 1 3 x 3 + 5 2 x 2 + 1 8 x - 2 on the domain - 7 , - 2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A . The absolute maximum is which occurs at x = ( Round the absolute maximum to
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Determine the slope of the line passing through the points ( 5 , 6 ) and ( - 7 , - 1 ) . m =
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I ' m still trying to learn but I could not understand when time comes in the question. Could you detail more about the what should I do when times come in the question and reasons? Question 2 : The probabilities of the numbers of cars that will pass a certain point on the E 6 in one minute is given below: a ) What is the standard deviation of the
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Find a formula for the inverse of the function. f ( x ) = 4 - x 2 , x 0 f - 1 ( x ) =
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The test statistic of z=2.51 is obtained when testing the claim that p=0.284. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of =0.10, should we reject H0 or should we fail to reject H0 ? Click here to view page 1 of the standard normal distribution table. Click
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Find the slope of the secant line of g ( x ) = 1 5 ( x - 1 ) 2 - 7 between x = 1 and x = 4 . 5 3 5 3 5 3
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Problem 1 4 4 . These are the functions you found the critical values for in the last problem. List the intervals on which these functions are increasing by finding where f ' > 0 . f ( x ) = s i n ( 2 x ) on 0 , 2

Let f ( x ) = x 5 ( x - 7 ) 8 ( x 2 + 6 ) 3 Use logarithmic differentiation to determine the derivative. f ' ( x ) =
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Compute all the first and second partial derivatives of the function. We assume that y > 0 . f ( x , y ) = x y - 6 x - l n ( y 6 ) . d e l f d e l x = d e l f d e l y = d e l 2 f d e l x 2 = d e l 2 f d e l x d e l y = d e l 2 f d e l y 2 =
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Use the transformation u = 3 x + 4 y , v = x + 4 y to evaluate the given integral for the region R bounded by the lines y = - 3 4 x + 1 , y = - 3 4 x + 3 , y = - 1 4 x , and y = - 1 4 x + 1 . R ( 3 x 2 + 1 6 x y + 1 6 y 2 ) d x d y R ( 3 x 2 + 1 6 x y + 1 6 y 2 ) d x d y = ( Type an integer or a simplified fraction. )
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How do I use tableu and create the graph shown above, you answers do not provide a step by step guide.

Simplify ( - 3 z - 2 v - 5 ) - 4 . Express your answer using only positive exponents.
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please help solve 17. What is the total area under the normal curve? A. It depends on the mean B. 0.5 C. 1 D. It depends on the standard deviation 18. Determine the z score of the percentile P80. If the area is not in the table, use the entry closest to the area. A. z=2.05 B. z=0.15 C. z=0.84 D. z=2.05 19. In a survey of women, the mean height was
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Find the derivative of the function g ( x ) = s i n ( 1 - 9 x ) . g ' ( x ) =
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week by all hospital employees. Consider testing H 0 = 2 7 against H 2 2 7 . a . Give the rejection region for the test at a significance level of = 0 0 5 b . Calculate the value of the test statistic c . Use the results, parts a and b , to make the appropriate conclusion. a . What is the rejection region for the test? Choose the correct answer
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Set - up the integral to calculate the length of the curve y = l n ( c o s ( x ) ) from x = - 6 to x = 3 . Be sure to simplify your answer. Do not evaluate the integral. Arc Length ? =
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The initial value problem ( IVP ) y + 9 y = 0 , for t in ( 0 , 1 4 ] , y ( 0 ) = 1 . 5 , y ( 0 ) = 0 has the solution

( 5 points ) Find the derivative of f ( x ) = 1 x 1 6 . f ' ( x ) =
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A student performed the following work and made an error. Explain the error and what you should do instead. 0 s i n d = - c o s | 0 | = - c o s = - ( - 1 ) = 1
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Evaluate the integral by interpreting it in terms of areas. - 2 2 4 - x 2 2 d x
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Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the store. The revenue reaches a maximum of about $ 4 9 0 0 0 in June and a minimum of about $ 2 5 0 0 0 in December. Suppose the months are numbered 1 through 1 2 , and write a function of the form f ( x ) = Asin ( B [ x - C ]
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The equation of the tangent line is ( Type an equation. Type your answer in slope - intercept form. Use integers or decimals for any numbers in the equation. Round to two decimal places as needed. )
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r = 9 3 - c o s ?
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Question 4 ( a ) Evaluate the following definite integrals: - 2 1 ( 2 x 3 + 4 ) d x ( 7 marks ) ( b ) Solve the following quadratic equations: ( i ) 2 x 2 - x - 1 5 = 0 ( ii ) x 2 - 8 x + 1 2 = 0
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The score on an exam from a certain statistics class, X, is normally distributed with =73.4 and =8.6. NOTE: Assume for the sake of this problem that the score is a continuous variable. (a) Write the event "a score over 63.4 " in terms of X : (b) Find the probability of this event: (c) Find the probability that a randomly chosen score is greater
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Find the equation of the tangent line to the following parametric curve at the point when t = 2 . ( PE 3 ) x = 3 t 2 - 4 t , y = 2 t - 3
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problem 3 . Lety = f ( x ) = 3 x 3 - 6 * 2 x 2 + 2 * 8 x - 4 * 3 . using only ( 1 6 points ) your graphing calculator and an appropriate window, a ) sketch fand Label all Relative Extrema on the graph. b ) Using special Max / Min features, find the coordiviates of all Relative Maxima and Minima. b ) Rel.Max: Rel.Min: c ) on what interval ( s ) is
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please help 31. Determine whether to reject or fail to reject H0 at the level =0.05 level of significance H0:=136Ha:=136Pvalue=0.765 A. Reject H0 because P0.05. C. Fail to reject H0 because P>0.05. D. Fail to reject H0 because P1.318 C. t0=1.318 and t01.318
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( 4 ) ( 2 Points ) Let U be U ( 0 , 2 ) - distributed, R be independent of U with distri - bution function F R ( r ) = { 1 - e x p ( - r 2 2 ) , r 0 0 o t h e r w i s e Show that ( x , Y ) : = g ( R , ) , where g is the function given in ( 3 ) , is N ( 0 , ) - distributed with = ( [ 1 , 0 ] , [ 0 , 1 ] ) . Also, show that R = x 2 + Y 2 2 and find
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b ) Find the equations of the tangent plane and normal line to the surface f ( x , y , z ) = x 2 - x y - y 2 - z = 0 at the point P ( 1 , 1 , - 1 ) .
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A graphing calculator is recommended. A particle moves according to a law of motion s = f ( t ) , t 0 , where t is measured in seconds and s in feet. ( If an answer does not exist, enter DNE. ) f ( t ) = t 3 - 9 t 2 + 2 4 t ( a ) Find the velocity ( in f t s ) at time t . v ( t ) = 3 t 2 - 1 8 t + 2 4 , f t s ( b ) What is the velocity ( in f t s
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Express 2 6 ( 1 4 ) 5 ( 1 6 4 ) 3 as a power with a base of 4
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Using the data in MROZ from Mroz ( 1 9 8 7 ) , we estimate the following linear probability model, where 4 2 8 of the 7 5 3 women in the sample report were in the labor force at some point during 1 9 7 5 : Here, let inlf ( in the labor force ) be a binary variable indicating labor force participation by a married woman during 1 9 7 5 : inlf = 1 if
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5 . ) [ 8 points ] Find the x - value ( s ) for which g ( x ) = x 4 2 - 3 x 3 - 9 x 2 + 7 has a horizontal tangent line ( find x - values )
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8. Chi-Square Test of Independence Voters in a certain town can only register as Democratic, Republican, or Independent. A poll of some 800 registered voters yields the following gender distribution: Let the null hypothesis be that party affiliation is independent of gender. a) Calculate x2 b) Find the degree of freedom c) Test the null hypothesis
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 58 ounces and a standard deviation of 10 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie
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x + 2 6 = 2 - x + 5 4
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In a large store, the owner wishes to see whether the number of shoplifting incidents per day will change if the number of security officers is doubled. A sample of 7 days before and after security increased shows the number of shoplifting incidents. At = . 0 5 , find the CV using the Wilcoxon Signed - Rank Test. \ table [ [ Day , Before,After ] ,
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Example. Investigate the convergence or divergence of the series k = 1 1 k .
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What is the coefficient of x3y5 when (23x+3y)8 is expanded? The numbers 1 to 11 are arranged in a line (uniformly at random). What is the probability that the first number is odd and the last number is even? [Reminder that for all quizzes in this unit you should enter probabilities as fractions (not decimals), and you must reduce them to their
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A researcher wants to determine whether a relationship exists between the outside temperature and the number of active crimes reported to local police for a 7 - hour period. Determine whether a significant relationship exists between the data shown, at = 0 . 0 5 . Round your answers to the nearest thousandth. Part 1 out of 6
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5 . Suppose a quadratic function is given by y = f ( x ) = x 2 9 x + 8 . ( a ) Does this function represent an upward or downward facing parabola? Explain. Find the x - coordinate of the vertex ( or the equation of the vertical line that intersects the parabola at the vertex ) of the parabola. [ 5 ] ( b ) Find the roots of the quadratic function.

The table below is a calculation of the grade breakdown of 5 0 0 students who are taking introductory psychology at a university. The grades are on a 1 0 0 - point scale, and the table divides the students into percentiles. Which of these statements is NOT correct? Selected Answer: Answers: a . This distribution is skewed left. a . This
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Find the value ( s ) of y ' when x = - 1 for 4 x 2 + y 3 = 6
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Let R be a commutative ring and let F be a free R - module. Show that for every surjective homomorphism of R - modules f : M N and homomorphism g : F N there exists an homomorphism : F M such that f 0 = g .
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A doctor wants to determine if his patients can significantly lower their blood pressure by doing yoga. He takes 100 patients and asks them to do yoga for a year. Their mean blood pressure is 178mmHg with a standard deviation of 35mmHg. The control group made up of 100 patients do not do yoga. Their mean blood pressure is 193mmHg with a standard
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Student's Name : Mobile No Date Of Filling Personal Information: - Department Name : Department of Electrical & Electronics Engineering Semester / Year : : B.Tech. EX Sem I Enrollment No : 23ENG15EXE110007 : Karan Ahirwar Father's Information Father's Name Annual Income Mobile No Residence Paid Fees Details :- Due Amount Comitted Date Bank Ref.

A cat litter manufacturer packages litter in containers labelled \\( 7 \\mathrm{~kg} \\), with a mean weight of \\( 7.10 \\mathrm{~kg} \\) and a standard deviation of \\( 0.04 \\mathrm{~kg} \\). The zscore of a container with a weight of \\( 7.03 \\mathrm{~kg} \\) is Select one: a. \\( \\quad 0.75 \\) b. -1.75 c. 0.03 d. -0.07

K = 2 3
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A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 36,000 miles and a standard deviation of 2100 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires?
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Hesap Kalemleri T rkLirasBr t sat k r 6 0 . 0 0 0 Net satlar 1 0 0 . 0 0 0 D nen varlklar 3 0 . 0 0 0 Ksa vadeli yabanc kaynaklar 1 5 . 0 0 0 Ortalama stoklar 5 . 0 0 0 Bu bilgilere g re iletmenin stok devir hzoran ka tr ? ( Soru ptal Edilmitir ) A ) 5 B ) 2 0 C ) 8 D ) 1 0 E ) 1 5

6 4 % of all Americans live in cities with population greater than 1 0 0 , 0 0 0 people. If 4 0 Americans are randomly selected, find the probability that a . Exactly 2 7 of them live in cities with population greater than 1 0 0 , 0 0 0 people. b . At most 2 5 of them live in cities with population greater than 1 0 0 , 0 0 0 people. c . At least 2
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Please Don't use chatgpt or other ai tool. If you know correct answer then attempt if you gave wrong answer then i gave 13 dislikes for your answer. this question will be reviewed by chegg. Explain the Mean , mode and median used in statistics.

you will find data on worm lifespan, and how the drugs were administered: either in water (the control, no actual drugs), vs the larval stage, the adult stage, or both larval+adult stages. Does average lifespan for these worms differ according to administration of the anti-convulsant drugs in the different life stages? In your answer, provide: (1
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(A) Find the value of im f(x). Select the correct choise below and, if necessary is in the answer box to complete your choice. x3 A. limf(x)= x+3)4 B. The limit does not exist. limx3 A. lmf(x)= x3+ B. The lime doss not exist. Find the valus of lim,3f(x). Select the corrnct choice below and, if necessary, fa in the answer bex to complele your
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Molly's Candle Shop has several retail stores in the coastal areas of North and South Carolina. Many of Molly's customers ask her to ship their purchases. The following chart shows the number of packages shipped per day for the last 100 days. For example, the first class shows that there were 5 days when the number of packages shipped was 0 up to
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The mean age of principals in a local school district is 5 1 . 6 years. If a hypothesis test is performed, how should a decision that rejects the null hypothesis be interpreted? A . There is not sufficient evidence to support the claim = 5 1 . 6 . B . There is sufficient evidence to support the claim = 5 1 . 6 . C . There is not sufficient
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A company produces 10,000 units of a product annually. The variable cost per unit is $20, and the fixed costs amount to $50,000 per year. If the selling price per unit is $50, calculate: a) The total variable cost. b) The total contribution margin. c) The break-even point in units. d) The margin of safety in units, assuming actual sales are 8,000

The probability that a randomly selected person has high blood pressure (the event H ) is P(H)= 0.5 and the probability that a randomly selected person is a runner (the event R ) is P(R)=0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.1 . Find the probability that a randomly selected person has
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below, along with the linear regression equation. Complete parts a through c below. [ ] a . Estimate the mean monthly rent for an apartment that has 1 , 0 0 0 square feet. The mean monthly rent for such an apartment is approximately $ . ( Round to the nearest cent as needed. )
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A graphrepresenting a statistical process control chart for the production of gnomes. aWhat are the functionsof lines x, y and -y shown in the controlchart and how are they set? What recommendation would you make if you saw the resultsshown in the chart? How are control limits likely to be affectedby the size of the sample taken andthe variability

( b ) The manager of a restaurant is interested to know if the type of beverage ordered with lunch at the restaurant is dependent on the age of the consumer. A random poll of 3 0 9 lunch customers is taken, resulting in the following contingency table of observed values. Use = 0 . 0 1 to determine whether the two variables are independent.
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The probability that a randomly selected person has high blood pressure (the event H ) is P(H)= 0.5 and the probability that a randomly selected person is a runner (the event R ) is P(R)=0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.1 . Find the probability that a randomly selected person is a
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0 2 4 - ( x - 2 ) 2 2 d x
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is in the age range 45 to 64 years old. Click the icon to view the frequency distribution. The probability is (Round to three decimal places as needed.)
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lim n 5 n i = 0 n l n ( 1 + 5 i n ) = 2 7 l n ( x + 1 ) d x 2 7 l n ( x - 1 ) d x n 5 l n ( x - 1 ) d x 2 7 l n x d x
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( 2 ) Let H , K I f | H | | = 1 7 and | K | = 2 4 , then prove that H K = { e g } .
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Esteban, a programming tutor wishes to study the effect that his tutoring has on his students. Esteban randomly selects 7 new students and records their current grades in their programming courses. After half a semester of tutoring, the students' grades are recorded again: Esteban asks for your help to conduct a paired, two - sample hypothesis
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For the quadratic function f ( x ) = x 2 + 6 x - 3 , ( a ) find the vertex and the axis of symmetry and ( b ) graph the function.
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The University of Cincinnati Center for Business Analytics is an outreach center that collaborates with industry partners on applied research and continuing education in business analytics. One of the programs offered by the center is a quarterly Business Intelligence Symposium. Each symposium features three speakers on the real - world use of

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. 3 x 2 + 1 3 x - 1 0 0
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Q - 2 ( 7 + 1 0 + 7 + 1 0 + 1 0 + 4 + 2 ) Let x 1 , x 2 , dots, x n be a random sample from a distribution with probability density function f ( x ; , v ) = v x + 1 , x v , > 2 , v > 0 . It is known that E ( x ) = v + 1 , Var ( x ) = v 2 ( - 1 ) 2 ( - 2 ) . First, suppose that is unknown, but v is known. ( a ) Find the UMP level test for testing H
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Simplify by removing factors of 1 . 5 d - 5 5
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QUESTION 1 [15 PTS] A reporter claims thet U.S. gasoline prices incressed from May to June of 2021. The table shows the prices (in dollars per gallon) of unleaded gasoline at 12 randomly selected U.S. gasoline stations during May and June of 2021. AL =0.10, is there enough evidence fo support the reporter's claim? Assume the samples are random and
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Question 1 9 Out of 6 0 0 people sampled, 4 2 0 had kids. Based on this, construct a 9 9 % confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places
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Write the standard form of the equation of the line through the pair of points ( 2 , 4 ) and ( 2 , - 3 )

Find the point of intersection of the plane x + y + z = 5 with the line x - 1 = y + 3 = z - 4 .

AP Statistics Type of Errors and Power First, some basics, using the Error Types Desmos graph to visualize: For a given significance level, null hypothesis, and specific alternative, how does an increase in the sample size affect the probability of a type II error? For a given significance level, null hypothesis, and sample size, how does a move
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Let the random variable x follow a normal distribution with = 6 0 and 2 = 8 1 . a . Find the probability that x is greater than 7 0 . b . Find the probability that x is greater than 4 5 and less than 7 5 . c . Find the probability that x is less than 6 5 . d . The probability is 0 . 3 that x is greater than what number? e . The probability is 0 .
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Knowledge Check Find the y - intercept of the line. y = 1 8 x + 1 3 4 y - intercept:
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What is the remainder when x 3 + 4 - 1 1 x + 3 x 2 is divided by 6 + x ?

The function f ( x ) = 2 x + 6 , x 0 , is one - to - one. Find an equation for f - 1 ( x ) , the inverse function. f - 1 ( x ) = , x 6 ( Type an expression for the inverse. Use integers for any numbers in the expression. )
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There are four targets and a shooter. The shooter selects one of the targets randomly. Shooter may select a target again even if it was shot and hit before. The probability of hit is 0.6. The shooter shoots six times. a. What is the probability that Target X is shot at least one time? b. What is the probability that Target X is hit at least one

Q 3 ( 4 0 points ) . Compute the moment of inertia of the following composite section with respect to centroidal axes and ( : | y c } . Details for W 1 6 5 0 ; , I x = 6 5 9 in ? 4 ; I y = 3 7 . 2 in ? 4 ; A = 1 4 . 7 in ? 2 ; d = 1 6 . 2 6 in; b f = t 1 = 7 . 0 7 in
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What is the section and classification of the following device: Implantable pacemaker pulse generator? 8 7 0 . 3 4 1 0 - Class III 8 7 0 . 3 4 1 0 - Class II 8 7 0 . 3 6 1 0 - Class III 8 7 0 . 3 6 1 0 - Class II

solve part a for me please
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For its music survey, neilsen co asked teenagers how they listened to music in the past 1 2 months with excel

Given ( M ) , find ( M ^ - 1 ) and show that ( M ^ - 1 M = I ) . Find ( mathrmM ^ - 1 ) .
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please help Use the following claim for questions 2930 An amusement park claims that the mean daily attendence is at most 18,000 people 29. Choose the correct null and alternate hypothesis below A. H0:18,000 Ha:=18,000 30. Identify which is the claim A. The alternate hypothesis is the claim Ha:>18,000 B. The null hypothesis is the claim H0:18,000
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Evaluate the expression - 4 + 3 i - 1 - 8 i , and write your answer in the form a + b i . a = , and b =
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