Questions

1 x x 4 Choose the correct graph below A a E B a C Q D G

Choose the correct answer below OA OB OC D Q

Find the third side to the following non right triangle Round to the nearest whole number A 91 a 28 m b 36 m C

2 Find an orthonormal basis for the column space of 8 2 0 2 X 17 17 4 217 0 6V 112

EXAMPLE 4 Find the inverse function of f x x 1 0 x SOLUTION According to this outline We first write y x5 1 Then we solve this equation for x 5 x Finally we interchange x and y y Therefore the inverse function is f 1 x

A yeast culture is growing at the rate of W t 0 5e0 1t grams per hour If the starting culture weighs 5 grams what I will be the weight of the culture W t after t hours After 3 hours The weight of the culture after t hours will be W t

iven the function f x 2x x 1 find the following Write none if applicable a vertical asymptote b horizontal asymptote c x intercept d y intercept e sketch its graph below

The average life of a brand of automobile tires is 30 000 miles with a standard deviation of 2 000 miles If a tire is selected and tested find the probability that it will have a lifetime between 25 000 and 32 000 miles Assume the variable is normally distributed Give your answer as a percent rounded to two decimal places to the nearest hundredth

Which of the following is NOT a property of a normal probability distribution The distribution is bell shaped The mean median and mode are equal The distribution is bimodal The curve never touches the x axis

The average time it takes college freshmen to complete the Mason Basic Reasoning Test is 24 6 minutes The standard deviation is 5 8 minutes Find the probability that the average completion time for a sample of 28 students will be more than 24 minutes Give your answer as a percent rounded to two decimal places to the nearest hundredth

Without using a calculator estimate the value of the following Show your process a log2400 b log350

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y 3 y 0 x 4 x 9 about y 4 125 443

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