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Solve the equation (π‘₯ + 𝑠𝑖𝑛𝑦)𝑑π‘₯ + (𝑦2 + π‘₯π‘π‘œπ‘ π‘¦)𝑑𝑦 = 0


Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season.


The table below shows the percentage of successful free throws and field goals a professional basketball player makes in a season:


x

66

75

53

75

90

79


y

73

56

84

80

71

97


Suppose you want to predict the percentage of successful field goals a professional basketball player using the percentage of successful free throws, what is the value of b? Round your answers to the nearest hundredths.


Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season.


The table below shows the percentage of successful free throws and field goals a professional basketball player makes in a season:


x

52

70

76

77

77

86


y

74

56

51

74

72

68


Suppose you want to predict the percentage of successful field goals a professional basketball player using the percentage of successful free throws, what is the value of a? Round your answers to the nearest hundredths.


The local coffee shop keeps track of how much coffee they sell versus the temperature on that day, here are their figures:


Sales in Php

1731

1840

1427

1262

1444

1100


Temp in Celsius

21.4

22.9

24.1

26.1

29

31.1


Suppose you want to create a regression equation that will predict the total sales in Php using the temperature of the day in Celcius, what is the value of b? Round your answers to the nearest hundredths.


The local coffee shop keeps track of how much coffee ice cream they sell versus the temperature on that day, here are their figures:


Sales in Php

1690

1786

1391

1555

1111

1423


Temp in Celsius

21.1

24

25.4

26.9

29.6

30.3


Suppose you want to create a regression equation that will predict the total sales in Php using the temperature of the day in Celcius, what is the value of a? Round your answers to the nearest hundredths.


The local coffee shop keeps track of how much coffee they sell versus the temperature on that day, here are their figures:


Sales in Php

1796

1657

1435

1573

1476

1403


Temp in Celsius

21.2

22.7

24.2

26.6

29.5

30.9


Suppose you want to create a regression equation that will predict the total sales in Php using the temperature of the day in Celcius, what is the total sales for the day in Php if the temperature is 29.1? Round your answers to the nearest hundredths.


soft drink dispenser is designed to dispense 250 mL of drink per cup. However, there have




been recent reports to the managements of a fast-food restaurant of both underfilled and




overfilled cups. Seeking to investigate this matter, they fill up 50 cups using this machine. If the mean amount of drink in the 50 cups is 248 mL with standard deviation of 12 mL, is there a




cause for concern for the management? Use a level of significance of 0.01

Find the mass of the lamina in the shape of the portion of the plane with equation 4x + 8y + z = 8 in the first octant if the area density at any point (x, y, z) on the plane is Ξ΄(x, y, z) = 6x + 12y + z g/cm^2


. A quality controller wants to estimate the proportion of high quality goods out of a batch of products with a 90% confidence level and a margin of error of 5%. How many products must he test. 30


Mapalad Integrated High School determined students’ Body Mass Index (BMI) at the opening of classes. It has been recorded that the average height of female students is 154.2 centimeters with a standard deviation of 9 centimeters. The researcher conducted her own study and she randomly selected 40 female students. In her study, she got an average of 156.7 centimeters. Is there a reason to believe the claims of the school? Use 5% level of significance in testing the hypothesis.



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