2 T Given that cos α = = and 0 < x < < x < 5 α determine the exact value of cos 2

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A: We have the computations as below: Annual Expenditure Class mark (xi) Households (fi)…

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A: Simplify the expression than substitute value each trigonometric ratios and solve.

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A: Method A Method B85889085888992878790

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A: Solve the following

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

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

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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: 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

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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: Q3 Exponential Model from a Table of Data Technetium-99m is a drug taken by a patient and then used…

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Q: my home in Clemmons for $250,000, and now it is worth $345,000. What is he number: no decimals, no…

A: INTRODUCTION: The formula for percent increase is given by, %increase=100×(final valu-initial…

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

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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 .

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Q: 1. The relationship between Grades and Minutes is best described as ??? and ??? 2. Use the computer…

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Q: 1: While walking to school you pass a barn with a silo. Looking up to the top of the silo you…

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Q: 9. An ecosystem containing two species is modeled by the system of differential equations given…

A: Given as dN1dt=0.15N11-N150-N250dN2dt=0.05N21-N275-N175

Q: 8. The equation P = -0.5(n – 400)(n - 20) describes a company's profit, P, based on how many units,…

A: See the detailed solution below.

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

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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…

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

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

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

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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

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Q: In 1982, the number of Starbucks was 5 shops. It has exponentially grown by 21% yearly. Determine an…

A: Here given exponential distribution for both grow and decay

Q: 5) A dice game involves rolling 2 dice. If you roll a 2, 3, 4, 10, 11, or a 12 you win $5. If you…

A: Let, X = sum of outputs of the two dice   Now, the possible outputs for rolling of two dice are {(1,…