Questions

Find the volume formed by rotating the region enclosed by y 4 x and y about the line z 17

The base of a solid is a circular disk with radius 5 Parallel cross sections perpendicular to the base are squares Find the volume of the solid 125

sing disks or washers find the volume of the solid obtained by rotating the region bounded by the curves y sec x y 1 x 1 and x 1 about the x axis olume 2

Find the volume of a frustum of a right circular cone with height 25 lower base radius 19 and top radius 11 Volume 6280

The answer above is NOT correct Find the volume of the solid obtained by rotating the region under the graph of the function f x 3x x2 about the x axis over the interval 0 3

You are a child psychologist studying smiling as children age For 25 infants you measure the number of times a child smiles in a day at 12 months old and again at 36 months old The normality assumption is met Choose the best type of test of two means to assess this research question O Two sided unpooled variance t test Two sided pooled variance t test Two sided paired t test Two sided Mann Whitney U test One sided unpooled variance t test One sided Mann Whitney U test

The average giant pumpkin entered county fairs weighs 1270 lbs with a standard deviation of 170 lbs Let s say that you measure 18 pumpkins at your local fair Calculate the standard error of the mean and write your answer with 2 decimal points XX XX

Find the two tailed U table value when n1 6 n2 6 and alpha 0 01

Find the volume of a frustum of a right circular cone with height 25 lower base radius 19 and top radius 11 Volume

Find the volume of a frustum of a pyramid with square base of side 14 square top of side 7 and height 12 Volume

base of a certain solid is the area bounded above by the graph of y f x 4 and below by the graph of y g x 25x2 Cross sections perpendicular to the y axis are ares See picture above click for a better view the formula V a A y dy and the volume of the formula ce You can get full credit for this problem by just entering the final answer to the last question correctly The initial questions are meant as hints towards the final answer and also w you the opportunity to get partial credit lower limit of integration is a upper limit of integration is b sides of the square cross section is the following function of y

You are studying the concentration of antibody titers for Rubella a disease in people with and without HIV You manage to study 11 healthy people and 7 people with HIV Select the answer that most correctly describes the null hypothesis HO and the alternative hypothesis H1 for this research question OHO Rubella antibody titer level p HIV level H1 p Rubella antibody titer level DOES NOT HIV level OHO population mean Rubella antibody titer level in people with HIV population mean Rubella antibody titer level in people without HIV H1 population mean Rubella antibody titer level in people with HIV DOES NOT population mean Rubella antibody titer level in people without HIV HO Number of people with HIV Number of people without HIV H1 Number of people with HIV DOES NOT Number of people without HIV HO sample mean Rubella antibody titer level in these 7 people with HIV sample mean Rubella antibody titer level in these 11 people without HIV H1 sample mean Rubella antibody titer level in these 7 people with HIV DOES NOT sample mean Rubella antibody titer level in these 11 people without HIV

What shape is the distribution that created the QQ plot shown below Sample Quantiles 4 202 4 6 8 Normal Q Q Plot 3 2 1 0 1 2 3 Theoretical Quantiles O Long tailed distribution Normal distribution Skewed right distribution O Skewed left distribution Short tailed distribution

When t 3 5 and t table 2 125 we fail to reject HO True O False

My collaborators are studying whole brain volume in people with severe dementia using MRI They are testing H 1262 mL If they reject Ho what type of hypothesis testing error could they have made Define this type of error in a sentence O a They could have made a type I alpha error A type I error is when we fail to reject a false HO Ob They could have made a type I alpha error A type I error is when we reject a true HO Oc They could have made a type II beta error A type II error is when we reject a true HO Od They could have made a type II beta error A type II error is when we fail to reject a false HO

Calculate the U test statistic given the data below Notice data in each group are already sorted Y1 Y2 15 12 17 16 19 19 23 21 24 23

Using disks or washers find the volume of the solid obtained by rotating the region bounded by the curves y sec a y 1 z 1 and z 1 about the x axis Volume

YA B 1 1 C 0 1 R R3 R y x X A 1 0 Referring to the figure above find the volume generated by rotating the region R about the line C Volume

The base of a solid is a circular disk with radius 5 Parallel cross sections perpendicular to the base are squares Find the volume of the solid

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y tan x y 1 and x 0 about the line y 1 A 0 4 4 1 tan 2 dz B T tans x dx 1 C tan x de T D T 1 E T 0 F T 4 tan 2 dr de tan x dr 1 tan z dz

If you reject Ho the t table value is smaller than the t value True False

You are an environmental engineer researching whether dams in poor condition are older than dams in adequate condition You notice that poor condition dams have a large spread of ages while most of the adequate condition dams were built in the 1950s and 1960s In qq plots of each sample you see that the data line up with the z scores pretty well forming a straight line Choose the best type of test of two means to assess this research question O One sided pooled variance t test Two sided unpooled variance t test O Two sided Mann Whitney U test One sided unpooled variance t test One sided paired t test One sided Mann Whitney U test

The region bounded by y 38 y 0 x 1 and x 3 is rotated about the x axis Find the volume of the resulting solid

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y x 2 4 and 8x y 16 about the line 1 A E B T C T 16 2 10 2 10 2 dy 16 10 2 10 2 16 2 10 2 10 2 9 dy dy D 10 2 10 2 dy IT E T F T 10 2 110 2 10 2 10 2 dy

Find the volume of the solid obtained by rotating the region under the graph of the function f x 3x x about the x axis over the interval 0 3 V

Using disks or washers find the volume of the solid obtained by rotating the region bounded by the curves y 2 0 x 4 y 16 and x 0 about the y axis Volume

Find an orthogonal basis for the column space of b N 40 2 20 2 6 10

a A florist is making 5 identical bridesmaid bouquets for a wedding She has 610 to spend including tax and wants 24 flowers for each bouquet Roses cost 0 each tulips cost 4 each and lilies cost 3 each She wants to have twice as many roses as the other 2 flowers combined in each bouquet Write the three equations representing the above scenario using r t and I to represent roses tulips and lilies Do not write any dollar signs or put any spaces If using all three variables answer should be written in order of r then t then I Part A The equation representing the TOTAL cost of ALL flowers would be Part B The equation representing the information given in the FOURTH sentence She wants to have twice as many roses as the other 2 flowers combined in each bouquet Part C The third equation representing the TOTAL flowers is b Part D Write the matrix equation that represents this scenario

hat is true about Hox genes A The absence of Hox genes in plants and their presence in animals shows that plants are not related to animals B Hox genes are identical in all animals because all animals have the same structures C Hox genes are found in all animals because all animals share a common ancestor D Differences between the Hox genes of humans and those of fruit flies prove the two species do not share a common ancestor

Write the equation of the determinant of the following matrix

11 Simplify the following 3 7 4 17 6 14 i 1 A 14 24 1 12 18 10 0 192 0 B Cannot Solve C 14 1 18 5 14 5 D 18 17

12 Find the inverse of the matrix 2 0 2 0 10 3 0 1 0 25 0 0 5 0 1 0 A 0 75 0 0 5 0 25 0 0 5 B 0 1 0 0 75 0 0 5 c The inverse does not exist 125 0 0 25 D 0 1 0 0 375 0 0 25

14 Solve the following matrices to find the missing number and write your result in the empty box provided below

Solve the following system of equations algebraically for all values of a and 3y 52 45 62 3y 22 10 9a 3y 82 72

Simplify the expression 1 cos 59 78 sin 59 78 1 cos 59 78 sin 59 78 Simplify your answer Use integers or decimals for any numbers in the expression Do not include the degree symbol in your a

8 If Q is a 3 x 3 matrix with inverse Q 1 then QQ 1 1 1 111 1 1 100 0 1 0 001 001 0 10 1 00 0 0 0

Cut Out Page INSTRUCTIONS In this activity you will cut out the images below so that you can paste them on the Stages of Meiosis Paste Page Figure out where to best put each image so that the correct stages of meiosis can be represented The Paste Page contains lines with dots so you know where you should paste your images Clear tape will work just as well as glue DIP RRAY

5 Determine which matrix does not have an inverse 3 0 1 3 95 28 1 B 1 95 C 28 0 10 0 28 3

Select the difference matrix below 6 3 6 2 4 1 5 1 1 4 6 3 2 14 A 2 3 B D 4 4 5 10 0 2 1 8 12 212 1 4 507 5 10 0 6 8

20 sin x cos x Need Help Rear Witch it Submit Answer 0 1 Points DETAILS MY NOTES SPRECALC8 7 3 012 MI Use the formulas for lowering powers to rewrite the expression In terms of the first power of cosine 3 cos x cos 2x cos 4x x Need Help Read Master Submit Artwor

DNA sequences from an ancestral species and four modern species that evolved from it are shown below Common ancestor CCGTACATTTCA Cat CCGTACTTTTGA Goldfish CGCTACTATTGA Pigeon CGGTACATTTGA Rhinoceros CCGTACATTTAA Based on these sequences which organism is most closely related to the common ancestor A Cat B Pigeon

What have scientists determined by studying fossil balls O A How multicellular organisms may have first formed B That water was the environment in which life began C How all life began on Earth OD That multicellular organisms evolved into bacteria

Which statement describes vertebrate species during embryologic development OA They start off very similar but take different developmental paths as they grow B Organisms with common ancestors do not develop differences as they grow C Species that have recent common ancestors have few similarities during development D As they grow they become increasingly similar

Find the point x y on the unit circle that corresponds to the real number t t 6 x y 3 2 1 2

How is the fossil record evidence for evolution A It shows how species change over time B It shows that embryos of related species are similar C It shows similarities in protein sequences D It shows that new organisms develop instantly

Given the function f x x 7x 10 x 9x 20 Describe where the function has a vertical asymptote and how you found your answer Remember that an asymptote is represented by an equation of a line and not just a single value Part B Given the function f x x 7x 10 x 9x 20 Describe where the function has a hole and how you found your

x y z 0 3 2 x 4 2 1 1 x y 2 1 2 Y 2 1 3 x y 2 1 2 Y Z 1 3 3 2x y 2 1 x y 2 5

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places e4x 5e2x 36 0 x

Nancy wants to invest 2000 in saving certificates that bear an interest rate of 7 75 per year compounded semiannually How long a time period should she choose to save an amount of 3000 Round your answer to two decima places x yr

Solve the logarithmic equation for x Enter your answers as a comma separated list Round your answer to four decimal places In x 1 In x 2 1 x