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Q: Prove the trigonometric identity: 1 sec(x) – tan(x)sin(x) = sec(x)

A:

Q: 5) An educational researcher is investigating whether there is a significant difference in the test…

A: Method A Method B85889085888992878790

Q: 1) Nicki made a tetrahedral die using a card and then tested to it to see whether it was fair. S

A: Claim : Die was fair ScoreFrequencies112215319422

Q: 8) An engineer believes that a new manufacturing process has improved the strength of a certain…

A: First we can define the null hypothesis and alternative hypothesis for one - sample t test as…

Q: In his piggy bank, Miquel dropped $1.00 2 $2.50 on May 3. on May 1, $1.75 on May 2 and on until the…

A: Formula: Arithmetic progession: a, a+d, a+2d, a+3d,................,a+(n-1)d  are in arithmetic…

Q: A plane is currently 4000 km from its destination. 1.75 hours later, it is 3300 km from its…

A:

Q: Geometry-Right Triangles 15: Right Angles in the Plane Pd Date 0 Is the triangle with vertices at…

A:

Q: 10) How long must a ladder be to reach a windowsill 50 feet above the ground if the ladder is…

A:

Q: 3) An infinite geometric sequence, with terms un, is such that u₁ = 2 and Σk=1 uk a) Find the common…

A:

Q: 3) Sandra scores 4 baskets in his first basketball game. She then scored the same number of baskets…

A:

Q: 5) Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25…

A: Rufus collects aluminium to recycle = 100 pounds he plans to collect additional 25 pounds each week.…

Q: 11) An educational institute claims that their new exam preparation course improves test scores by…

A: StudentBeforeAfter175852809037078485885909566070778858959797075108892118289127683136570

Q: 9) A bakery claims that the average weight of its cupcakes is 100 grams. You sample 30 cupcakes and…

A: From the provided information,Sample size (n) = 30Level of significance

Q: A bakery keeps a record of how many pies and pasties they sell each day for a month. Pies Pasties 62…

A: Given The data is as follows: Pies 62, 76, 55, 65, 49, 78, 71, 82, 79, 47, 60, 72, 58, 82, 76, 67,…

Q: 5) A water balloon is catapulted into the air so that its height h, in meters, after t seconds is h…

A:

Q: The table shows the cost of a ski rental package for a given number of people People Cost ($) 4 5 6…

A: For the given problem the cost of ski rental service is given as (a). Since for given each row rate…

Q: 1) A meteorologist models the height of a hot air balloon launched from the ground. The model…

A: We will form a series to represents height travelled by balloon in each successive minute .

Q: Describe the correlation between the age of students in the class and their height. Describe the…

A: Generally with the increase of age, height increases. But in a class of students this is not always…

Q: Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, .

A:

Q: 14. A kite is being flown using 150 yards of string. The kite has an angle of elevation with the…

A: topic - trigonometric ratios

Q: An owner of multiple gift shops explored the relationship between the percent of on-sale items and…

A: Step 1: Enter data into the excel sheet Step 2: GO to Data> Data ANalysis> Regression Step…

Q: the number (n) of bacteria in a colony after h hours is given by the formula n = re are 1200…

A:

Q: 4) The table shows the donation amounts received by a charity in one day. Donations (dollars) 15 40…

A: Sol:- a) Here's a histogram of the data starting with the interval 0-14: Donation Range Frequency…

Q: manufacturer claims that their new hybrid model can travel an average of 50 mil Otest this claim, a…

A: Given,population mean ( µ ) = 50sample size (n) = 20sample mean (x̄) = Σx/n…

Q: For each z-score below, find the percentile (percent of individuals scoring at or below): a) z=-0.47…

A: We have to find the number of individuals scoring below the following z scores.a) .We need to find…

Q: 2) The distance between two points with coordinates (x₁, y₁) and (x2, y2) is equal to √(x₂-x₂)² +…

A:

Q: (b) (a) Read the graph to estimate the median amount of money earned. Estimate the percentage of…

A: The given cumulative frequency graph is: From the provided plot, each vertical value on the curve…

Q: Let (a) (b) 8 = {positive integers less than 15}; X= {multiples of 2}; Y = {multiples of 3}. Show,…

A:

Q: Find the indicated nth partial sum (Sn) of the arithmetic sequence 20.0190 a) 8, 20, 32, 44... n=10…

A:

Q: 1) Two schools are represented by points A(2, 20) and B(14, 24) on the graph below. A road…

A: The product of the slopes of two perpendicular lines is -1. The distance(d) between two points: x1,…

Q: For a normal distribution, find the z-score that separates the distribution as follows: a) Separate…

A: standard normal distributionZ~N(0,1)note : area under standard normal curve represents probability.

Q: A fifth grader takes a standardized achievement test (mean = 125, standard deviation = 15) and…

A: Mean()=125standard deviation()=15Scores=148

Q: Find the expected frequencies if it is assumed that the number of absentees is independent of the…

A: The data is given on the number of pupils absent on particular days.DayOM125Tu88W85Th94F108Total500

Q: Find the sum of the infinite geometric series 4 8 + 9 27 2 3 - - 16 81 +.

A: A sequence is a set of numbers that has a particular order or obeys a general form. The series is…

Q: 3) The values in the frequency distribution below have a mean of 4.24. 1 4 4 8 Value Frequency 2 3 3…

A: N = 7 ( value from 1 to 7 )  Mean = sum(frequency)/N  = 4.24  Frequency :  4,3,x,8,7,6,3  We have to…

Q: 1) A pharmaceutical company is testing two different drugs to see which one is more effective at…

A: The formula of the two sample t test is,

Q: 16) Answer each question using the list below 4, 8, 6, 10, 16, 14, 12, 18 Mean = Median= Standard…

A:

Q: 3) There is an equally likely chance that a falling dart will land anywhere on the rug below. The…

A: Total number of squares on the rug are 15. The black squares are 6. The probaility that the dart…

Q: 7) A manufacturer produces light bulbs with an average lifespan of 1000 hours. A sample of 50 light…

A: Avrage life span of the bulb is 1000 hours.Number of sample taken for testing is 50 bulbs whose…