Questions

e The mean of a chistribution is 34 and Standard clasicition is 5 Compute 2 score for the value x 17

5 The mean of a distribution is the and the Standard deviation is 5 Use Chebyshev s Theorem And the formula 1 1 K to determine the minimum perantage of values that fall between 4 and 24 le

The partial fraction decomposition of 34x 38 12x225x7 is

Find the x and y intercepts of the graph Do not graph the equation y x 25 x intercept smaller x value x y x intercept larger x value x y y intercept x y

A triangle has sides with lengths 5 12 and 13 a Verify this is a Pythagorean triple show work or clearly explain b Approximate the acute angles in this triangle Round angles to the nearest tenth smallest angle

children are surveyed The ages of the children are 1 3 and 8 Assume that samples of size n 2 are randomly selected with replacement from the population of 1 3 and 8 Listed are the nine different samples Complete parts a through d 1 1 1 3 1 8 3 1 3 3 3 8 8 1 8 3 8 8 a Find the value of the population variance o Round to three decimal places as needed

Find the EXACT lengths of the missing leg and hypotenuse A note on EXACT answers If your answer has a radical for example leave the radical in your answer If it is fraction don t round it as a decimal 8 m 45 n

swer 10 5 ecting an option will display any text boxes needed to complete your answer Increasing on one interval Decreasing on one interval Constant on one interval Increasing on one interval and Decreasing on another Increasing on two intervals A Decreasing on Decreasing on

Select all true equations cos 37 sin 53 tan 37 tan 53 sin 37 cos 53 sin 37 sin 53 cos 0 sin 90 0

K When two births are randomly selected the sample space for genders is bb bg gb and gg Assume that those four outcomes are equally likely Construct a table that describes the sampling distribution of the sample proportion of girls from two births Does the mean of the sample proportions equal the proportion of girls in two births Does the result suggest that a sample proportion is an unbiased estimator of a population proportion For the entire population assume the probability of having a boy is the probability of having a girl is and this is not affected by how many boys or girls have previously been born 1 1 Determine the probabilities of each sample proportion Sample proportion of girls Probability Type integers or simplified fractions

2 The cata below Shoko the number of downloads per kleek of a particular song for a sample of 10 weeks Compute the mean median mode and midrange 2

Kiran is flying a kite He gets tired so he stakes the kite into the ground The kite is on a string that is 12 feet long and makes a 45 degree angle with the ground How high is the kite 45 12 ft 8 49 ft 16 97 ft 7 ft 12

What value of 0 makes this equation true sin 30 cos 0 30 60 90 180

The Americans with Disabilities Act states that ramps must have an angle less than or equal to 4 8 degrees Remember a 4 8 degree angle in a right triangle has a 1 12 ratio for the legs Select all ramps that meet the Americans with Disabilities Act requirements 30 30 15 40 40 120 10 12 2 1

Problem 1 1 cos 2x sin 2x ta

Technology required Mai is visiting Paris to see the Eiffel Tower She is 80 feet away when she spots it To see the top she has to look up at an angle of 85 7 degrees How tall is the Eiffel Tower round to two decimal places Height feet

Solve the equation Enter your answers as a comma separated list Use n as an arbitrary integer Enter your response in radians sec2 x 5 sec x 14 0

What is the length of side AB Round your answer to two decimal places B AB 6 30 C

Verify the following identity sin t 1 cos t cost cot t Cost cot t

17 Compute the mean Standard deviation and Vanance for the probability distribution Round to the necreast Thundredth V 13 J 9

e Find the missing value Kinich makes the table a probability Nand g J PLX10 1 0 5 distributin

B C R 2 3 as MAX es 06 In the figure shown point B and the center of each circle lie on AC The ratio of AB to BC is 4 to 1 If the area of the small circle is 72 what is the area of the shaded region TE

K Which of the following is NOT a property of the sampling distribution of the variance Choose the correct answer below OA The sample variances target the value of the population variance OB The mean of the sample variances is the population variance C The distribution of sample variances tends to be a normal distribution OD The expected value of the sample variance is equal to the population variance

K A data set includes systolic blood pressure measurements from 147 adult females If we compute the values of sample statistics from that sample which of the following statistics are unbiased estimators of the corresponding population parameters Select all that apply A Sample variance B Sample range C Sample standard deviation D Sample proportion E Sample mean F Sample median

How many different ways can a race with 5 runners be completed Assume there is no tie Your answer is

is the distribution of sample proportions with all samples having the same sample size n taken from the same population The sampling distribution of the proportion The uniform distribution The standard normal distribution The normal distribution D

Write each expression as a single trigonometric function 21 sin 3x cos 2x cos 3x sin 2x 22 cos 3x cos 2x sin 3x sin 2x

A boy owns 7 pairs of pants 3 shirts 5 ties and 5 jackets How many different outfits can he wear to school if he must wear one of each item He can wear different outfits

Graphic designers artists create visual concepts using computer software or by hand to communicate ideas that inspire inform and captivate consumers They develop the overall layout and production design for various applications such as advertisements brochures magazines and corporate reports Many are employed in specialized design services publishing or advertising public relations and related service industries In 2014 about 1 in 5 were self employed A bachelor s degree in graphic design or a related field is usually required The median annual wage for graphic designers was 45 900 in May 2014 SOURCE Bureau of Labor and Statistics U S Department of Labor Occupational Outlook Handbook 2016 2017 Edition Graphic Designers After meeting with clients to determine the scope of a project graphic artists typically design layouts and select colors images and typeface to use They then present design concepts to the clients and incorporate changes recommended by clients into final designs When a graphic designer met with his client the client approved 3 possible color schemes 6 possible images and 2 possible typefaces to be used in the design concept How many options for the design concept does the graphic artist have if he is choosing one color scheme one image and one typeface for the design concept

Police fire and ambulance dispatchers also called public safety telecommunicators answer emergency and non emergency calls They work in emergency communication centers Dispatchers must be available around the clock so they often have to work evenings weekends and holidays Overtime and long shifts sometimes 12 hours are common Many states require dispatchers to become certified The median annual wage for police fire and ambulance dispatchers was 37 410 in May 2014 SOURCE Bureau of Labor and Statistics U S Department of Labor Occupational Outlook Handbook 2016 2017 Edition Police Fire and Ambulance Dispatchers When a police radio dispatcher receives a call he she must determine the type of emergency and its location and decide the appropriate response on the basis of agency procedures A small town has 5 police officers When a radio dispatcher receives a call depending on the nature of the situation no officer one officer two officers three officers four officers or all five officers can be sent How many different ways can the dispatcher send the police officers to the scene of the caller

Prove each identity 43 sin 90 x sin 90 x 2 cos x 44 sin 90 x sin 90 x 0 45 cos x 90 cos x 90 2 sin x

An access code consists of 1 letter of the alphabet followed by 3 digits Digits are 0 1 2 3 4 5 6 7 8 9 How many different access codes are possible There are different access codes

A true false test contains 16 questions In how many different ways can this test be completed Assume we don t care about our scores Your answer is

41 Graph one complete cycle of y 2 sin x cos the right side in the form 2 sin A B TI 2 3 2 cos x sin by first rewriting

Standard automobile license plates in a country display 2 numbers followed by 2 letters followed by 3 numbers How many different standard plates are possible in this system Assume repetitions of letters and numbers are allowed Your answer is

A girl has 9 skirts 6 blouses and 9 pairs of shoes How many different skirt blouse shoe outfits can she wear Assume that each item matches all the others so she is willing to wear any combination Your answer is

How many three letter words can be made from 10 letters FGHIJKLMNO if repetition of letters a is allowed Your answer is b is not allowed Your answer is

3 different color dice are rolled and the numbers showing are recorded How many different outcomes are possible Your answer is

A combination lock uses 4 numbers each of which can be 0 to 24 If there are no restrictions on the numbers how many possible combinations are available

Use sum and difference formulas to prove that each statement is true 11 sin x 2 sin x 13 cos x 2 sin x 12 cos x 2 cos x 14 sin x 2 cos x 15 cos 180 cos 0 16 sin 180 sin 17 sin 90 6 cos 0 18 cos 90 0 sin 0

In his recent State of the Union address President Biden proposed a tax credit of 10 000 for first time homebuyers People purchasing homes will have their income taxes reduced by 10 000 If this is enacted who will benefit from it It depends on the relative elasticities of supply and demand Buyers will gain more if demand is more elastic and supply is less elastic People selling homes will get all the benefits because they will increase what they ask for homes by 10 000 First time homebuyers will get all the benefits because it will reduce the net price of the home they buy by 10 000 It depends on the relative elasticities of supply and demand Buyers will gain more if demand is less elastic and supply is more elastic Whoever realizes the benefit in question 1 how much will the total benefits that the public realizes add up to per home sold Less than 10 000 10 000 10 000

According to his faith Rahim a support worker vehemently believes that it is wrong to eat pork However instead of stopping a client from eating a bacon sandwich Rahim respected the client s choice Which of the following best represents what Rahim was able to do in this case Differentiate between ethics and morals Advocate for his patient Do his duty

A Which brain region is missing that s highlighted in red A Right precuneus B Left fusiform gyrus C Right superior temporal gyrus D Left insula

The company you work for produces right circular thin steel canisters for other companies to store their liquid products A customer has ordered 10 000 steel canisters The canisters must hold a volume of 7 cubic feet and includes the top and bottom Your company charges 0 30 per square foot of surface area of the canister and is always minimizing the cost for their customers What is the minimum cost for this customer s order round the radius the height and the minimal surface area to 3 decimal places

COS X 1 sin x 33 2 se 1 sin x COS X

You randomly select and measure the contents of 10 bottles of cough syrup The results in fluid ounces are shown to the 4 216 4 297 4 253 4 245 4 188 right 4 201 4 262 4 242 4 227 4 237 Assume the sample is taken from a normally distributed population Construct 80 confidence intervals for a the population variance o and b the population standard deviation o Interpret the results a The confidence interval for the population variance is Round to six decimal places as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to six decimal place as needed 0 OA With 20 confidence it can be said that the population variance is less than OC With 20 confidence it can be said that the population variance is between and OB With 80 confidence it can be said that the population variance is between OD With 80 confidence it can be said that the population variance is greater than and b The confidence interval for the population standard deviation is D Round to four decimal places as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to four decimal place as needed OA With 80 confidence you can say that the population standard deviation is between and OB With 80 confidence you can say that the population standard deviation is less than inches inches OC With 20 confidence you can say that the population standard deviation is greater than OD With 20 confidence you can say that the population standard deviation is between and inches inches

45 Show that sin A B is in general not equal to sin A sin B by substituting 30 for A and 60 for B in both expressions and simplifying

41 1 sin t 1 sin t cos t 1 sin t

29 csc B sin B cot B cos B

Prove that each of the following identities is true 1 cos 0 tan 0 sin 2 sec 0 cot 0 csc 0 3 csc 0 tan 0 sec 0 4 tan 0 cot 0 1 tan A 5 sin A sec A cot A 6 cos A CSC A 7 sec 0 cot 0 sin 0 1 8 tan csc 0 cos 0 1 9 cos x csc x tan x cot x sin x 10 sin x sec x csc x tan x 1 11 csc x cot x 1 cot x csc x sec x 12 tan x cos x cot x sin x 1 13 cos x 1 tan x 1 15 1 sin x 1 sin x cos x 14 sin x cot2x 1 1 16 1 cos x 1 cos x sin x 17 cost sint sin t cott 1 18 sint cost sin t cos t sec t csct