Math - Others Questions

Solve each problem 1 Which expression s are equivalent to 2 6 A 2 6 B 2 6 C 2 6 D 2 6 3 Which expression s are equivalent to 8 3 4 94 A 8 3 4 94 B 8 3 4 94 C 8 3 4 94 D 8 3 4 94 5 Which expression s are equivalent to 3 3 5 2 A 3 3 5 2 B 3 3 5 2 C 3 3 5 2 D 3 3 5 2 7 Which expression s are equivalent to c 2 Which expression s are equivalent to 7 6 A 7 6 B 7 6 C 7 6 D 7 6 4 Which expression s are equivalent to 4 5 A 4 5 B 4 5 C 4 5 D 4 5 6 Which expression s are equivalent to 5 18 3 54 A 5 18 3 54 B 5 18 3 54 C 5 18 3 54 D 5 18 3 54 2 Answe 6 8 Which expression s are equivalent to 4 9 A 4 9 B 4 9 C 4 9 D 4 9

K Construct a frequency table for the data Responses Frequency excellent poor Total Construct a relative frequency table for the data Responses excellent good fair O A 0 8 0 6 0 4 0 2 0 good fair OC poor Total Type integers or decimals Construct a bar graph for the data Choose the correct graph below 0 8 0 6 0 4 0 2 0 Excellent E Good 10 Excellent Good Relative Frequency 1 00 Fair Fair Poor on a teacher rating website fair fair poor excellent poor good fair fair poor fair Construct a frequency table a relative frequency table and a bar graph for the data Poor GILER OB 0 8 0 6 0 4 0 2 OD 0 8 0 6 0 4 0 2 01 Excellent Good Excellent Good Fair Fair Poor Poor

4 45 Points Determine the rate of seepage in cubic feet min under the dam by drawing flow net to scale and also determine the total uplift force in psf acting at the bottom of the dam at Point C per unit length of dam The permeability of the silty sand is 0 66 ft min The drawing is to scale Use the scaled drawing next page for your flow net sketching and pressure calculations evaluations Upstream water level is at El 94 ft Downstream water level is at El 68 ft Dam is 85 ft long and bottom is at el 57 ft Ground surfaces on both upstream and downstream sides are at El 64 ft U

Solve each problem 1 Which expression s are equivalent to 2 6 A 2 6 B 2 6 C 2 6 D2 6 3 Which expression s are equivalent to 8 3 4 94 A 8 3 4 94 B 8 3 4 94 C 8 3 4 94 D 8 3 4 94 5 Which expression s are equivalent to 3 3 5 2 A 3 3 5 2 B 3 3 5 2 C 3 3 5 2 D 3 3 5 2 2 Which expression s are equivalent to 7 6 A 7 6 B 7 6 C 7 6 D 7 6 4 Which expression s are equivalent to 4 5 A 4 5 B 4 5 C 4 5 D 4 5 6 Which expression s are equivalent to 5 18 3 54 A 5 18 3 54 B 5 18 3 54 C 5 18 3 54 D 5 18 3 54 1 2 3

K Use the frequency table that contains the weight loss by 34 participants in the television show to construct the corresponding histogram Click the icon to view the frequency table Choose the correct graph below A Frequency www O C Frequency 2009 wwwinn 0 1 2 3 4 5 6 7 8 9 10 Pounds Lost 0 1 2 3 4 5 6 7 8 9 10 Pounds Lost Data table Q Q Weight Loss Pounds Frequency 0 1 3 2 2 3 3 2 4 1 5 7 C 6 1 OB London 0 1 2 3 4 5 6 7 8 9 10 Pounds Lost OD Frequency MANNAL 7 5 0 1 2 3 4 5 6 7 8 9 10 Pounds Lost 8 2 9 4 10 D 4 X Q Q Q

14 Dok int rint rences Required information The following information applies to the questions displayed below The first production department of Stone Incorporated reports the following for April Beginning work in process inventory Units started this period Completed and transferred out Ending work in process inventory Units 76 000 402 000 380 000 98 000 Direct Materials Percent Complete 65 85 Conversion Percent Complete 35 35 Compute the number of equivalent units of production for both direct materials and conversion for April using the weighted average method Equivalent units of production Weighted average method Direct Materials Derpent Conversion

2 k 1 mt ences The following information applies to the questions displayed below The first production department in a process manufacturing system reports the following unit data Beginning work in process inventory Units started and completed Units completed and transferred out Ending work in process inventory Prepare the production department s equivalent units of production for direct materials under each of the following three separate assumptions using the weighted average method for process costing 36 000 units 54 000 units 90 000 unita 18 000 units Total Equivalent Units of Production EUP Weighted Average Method 1 All direct materials are added to products when processing begins Units Direct Materials Percent Complete EUP 2 Beginning inventory is 40 complete as to direct materials costs Ending inventory is 80

1 What technique or steps would you use to factor the expression 4a2 56ab 196b2 Factor as much as possible and explain how you approched this problem 2 Caleb was factori 2

Complete this question by entering your answers in the tabs below Required 1 Required 2 Per Unit For each product compute the gross profit per unit selling price per unit minus the product cost per unit Note Round Activity Rate and final answers to 2 decimal places Enter any product costs in excess of selling prices as negative values Selling Price 00 00 Answer is not complete Required 3 Required 4 Product Cost 07 00 s Gross Profit 0 001

ok mt inces For each of the following products and services indicate whether it is more likely produced in a process operation or in a job order operation 1 Custom tailored dresses 2 Lawn chairs 3 Solar panels 4 Custom home 5 Golf balls 6 Bolts and nuts 7 Football fields 8 Paint cans 9 Headphones Chec

Liquid leaked from a damaged tank at a rate of r t liters per hour The rate decreased as time passed and values of the rate at five hour time intervals are shown in the table t hr r t L h 0 5 10 15 20 25 Find lower and upper estimates for the total amount of liquid that leaked out of the tank in the first 25 hours lower estimate upper estimate Question Help Video liters 9 4 8 6 7 9 7 3 6 7 6 2 liters

1 The ship in the figure is at sea 12 miles from the lighthouse The light beam from the lighthouse must rotate through 70 to be seen by the people on the ship Lighthouse How close is the ship to the shore i e what is the distance to point P on the shore ANSWER b 70 70 12 miles 12 miles P There is a second lighthouse on the shore as shown in the figure The light beam from the second lighthouse must rotate through 65 to be seen from the ship What is the distance between the two lighthouses bits Lighthouse 1 Lighthouse 2 Shoreline Ship Shoreline 65

5 Provide both the equation and a sketch of the requested function Draw two full periods in your sketch Be sure to label your sketch appropriately so it can be verified to be a sketch of your equation Provide a secant or cosecant function that goes through the point r 4 2

4 Provide both the equation and a sketch of the requested function Draw two full periods in your sketch Be sure to label your sketch appropriately so it can be verified to be a sketch of your equation Provide a tangent or cotangent function with period 2 and a horizontal shift of it

30 Points Jy A 60 ft diameter circular tank foundation carrying a uniform load of 2 000 psf is applied to the ground surface Find the vertical stress due to the foundation load at a depth of 30 ft below the ground surface at the a Tank center b Tank edge SHOW ALL CALCULATIONS

Question 1 Why is it important for first responders to have knowledge of autism Question 2 How can understanding autism affect how first responders handle emergency situations Question 3 What specific strategies can first responders use when interacting with individuals with autism

a The depth D of water around a boat in a tidal bay in feet is given by 8 D C 5 sin t where the time t is measured in hours since midnight Find the period of the tide ANSWER What is the depth of the water when it is shallowest ANSWER Find one time when the water is shallowest ANSWER What is the depth of the water when it is deepest ANSWER Find one time when the water is deepest

percent rate of return 8 14 Measuring growth Given that a firm s return on equity is 18 percent and man agement plans to retain 40 percent of earnings for investment purposes what will be the firm s growth rate 8 15 Common stock valuation San

8 13 Common stock valuation Herrera Motor Inc paid a 3 50 dividend last year At a constant growth rate of 5 percent what is the value of the common stock if the investors require a 20 percent rate of return

he stock 8 5 Preferred stock valuation Calculate the value of a preferred stock that pays a dividend of 6 per share if your required rate of return is 12 percent 8 6 Preferred stock valuation You an

3 A company retains 60 of its profits The Return on Equity is 15 What is the growth rate of the earnings

Min Compare the image above to the image below showing a fully contracted sarcomere hen 3 a Find all solutions of the following equations 2 cos x sinx 1 ANSWER b 3 tan 3 1 Heone ANSWER 1 0

2 a e d b ANSWER Use trigonometric identities to find all trigonometric functions of the angle a arccot that cos a 0 Find cota Find tan a ANSWER Find seca ANSWER Find cos a ANSWER Find sin a ANSWER Find csc such 001 2012

7 Consider the following diagram constructed in Quadrant I of the Unit Circle a 0 1 C b Find a b c and d in terms of 8 Show all work d

etermine the amount of money that needs to be deposited 5 years from now to withdraw 6 000 per year for 7 years beginning 6 years from now if the interest ate is 6 per year 27 805

What is the present worth of the following series of income disbursements if the interest rate is 6 per year Year Income Expense 0 12 000 2 000 1 5 400 6 8 13 283 O 13 765 O 11 980 12 456 800 900 100

Listed below are two solutions for a service issue Work out the costs for option 1 Use a 8 interest rate You need to work out the option for SIX years First Cost Maintenance Salvage Life O 17 111 32 587 O 44 209 49 894 Option 1 15 000 1200 yr 100 2 years Option 2 35 000 900yr 2000 6 years

The diameter of a pipe is normally distributed with a mean of 0 7 inch and a variance of 0 0025 What is the probability that the diameter of a randomly selected pipe will exceed 0 8 inch You may need to use the standard normal distribution table Round your answer to three decimal places Hint take the square root of the variance to find the standard deviation 0 05 X

Suppose that the annual rainfall in Ferndale California is known to be normally distributed with a mean of 35 5 inches and a standard deviation of 2 5 inches About 2 3 of the years the annual rainfall will exceed how many inches Round your answer to one decimal place in y Lee Photography CORBIS

Given the information find the equation for the least squares line as well as the correlation coefficient n 8 x 40 y 48 Exy 240 Ex 210 y 288 E y r

The diameter of an electric cable i normally distributed with a mean of 0 9 inch and a standard deviation of 0 01 inch What is the probability that the diameter will exceed 0 91 inch You may need to use the standard normal distribution table Round your answer to three decimal places

A normal distribution has a mean of 85 5 and a standard deviation of 4 83 Find the data value corresponding to the value of z given Enter your answer to four decimal places z 3 49

Suppose that the breaking strength of a rope in pounds is normally distributed with a mean of 100 pounds and a standard deviation of 15 What is the probability that a certain rope will break before being subjected to 110 pounds You may need to use the standard normal distribution table Round your answer to four decimal places

A normal distribution has a mean of 85 8 and a standard deviation of 4 85 Find the data value corresponding to the value of z given Enter your answer to four decimal places Z 0 95

A normal distribution has a mean of 85 3 and a standard deviation of 4 85 Find the data value corresponding to the value of z given Enter your answer to four decimal places Z 2 65

Suppose that people s heights in centimeters are normally distributed with a mean of 170 and a standard deviation of 5 We find the heights of 80 people You may need to use the standard normal distribution table Round your answers to the nearest whole number a How many would you expect to be between 170 and 180 cm tall people b How many would you expect to be taller than 178 cm people

What percent of the total population is found between the mean and the z score given Use the standard normal distribution table and enter your answer to two decimal places Z 0 70

What percent of the total population is found between the mean and the z score given Use the standard normal distribution table and enter your answer to two decimal places z 3 44 50 X

Question 10 y 3 Find a formula for the exponential function passing through the points 2 25 and 3 375

What percent of the total population is found between the mean and the z score given Use the standard normal distribution table and enter your answer to two decimal places z 3 44

Consider the following scatter diagrams Match a possible r to each graph a Strong positive correlation b Strong negative correlation Graph a Select Graph by Select Graph c Select y Graph d Select Graph e Select Graph f Select x d Positive correlation 0000000000 e Perfect negative norralation c Negative correlation f No correlation

Suppose that for a certain mathematics class the scores are normally distributed with a mean of 75 and a standard deviation of 9 The teacher wishes to give A s to the top 5 of the students and F s to the bottom 5 The next 15 in either direction will be given B s and D s with the other students receiving C s What is the cumulative distribution Grade A BCDF Percent 5 15 15 5 X Cumulative

Study Example 1 The number of bedrooms of homes in a certain community is shown on the table below Find the cumulative distribution for the table Use a value of 6 to stand for 6 or more bedrooms Number of Bedrooms Percent Cumulative 4 12 28 33 15 7 1 0 median mode 1 2345 6 or more Find the mean median and mode for the table If an answer does not exist enter DNE Round your mean to two decimal places mean bedrooms bedrooms bedrooms

Question 9 An exponential function f x ab passes through the points 0 7000 and 3 1512 What are the values of a and b a b Question Help Video

Question 8 An exponential function f x ab passes through the points 0 12 and 3 768 What are the values of a and be Q b Question Help Video

X a is used to denote the cutoff between results attributed to chance and results attributed to significant differences

The graph of a frequency distribution of a large number of measurements tends to look normal or X

X is the process of identifying the relationship between two variables

Find the standard deviation rounded to the nearest unit for the data indicated clients Date Oct 23 Oct 24 Oct 25 Oct 26 Oct 27 Oct 28 No of Clients 11 8 11 15 11 10

Find the mean the median and the mode of the following scores If an answer does not exist enter DNE mean median mode Test Score 90 80 70 60 50 Frequency 1 7 9 8 5