Search & Filtering
A population consists of the four numbers 3 7 11 15 consider all possible sample of size two which can be drawn with replacement
Let A = {a, b, c}, B = {x, y}. Find the following:
1. A × B
2. B × A
Use the set builder notation to give a description of each of these sets.
1.A = {b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z}
2. B = {0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377}
Yna Celestine believes that the average amount of time spent by her classmates
in studying their self learning module in Math per week is less than 300 minutes
with a standard deviation of 45 minutes. She took a random sample of 35 students
in their class and found out that average time spent for studying was 285 minutes.
Test the claim at the 0.05 level of significance.
Consider the R −R2 function r r defined by (t) = (a) Write down the domain of r (b) Is r (c) Is r continuous at t = 0? continuous at t = 2? (d) Sketch the curve r 26 . . (t, t2) if t ∈ [−2,0] (t, t) t, t2 if if t ∈ (0,2) t ∈ [2,3]
the mean lifetime of a sample of 100 light tubes produced by a company is found to be 1,580 hours. Test the hypothesis at 5% level of significance that the mean lifetime of the tubes produced by the company is 1,600 hours with standard deviation of 90 hours
Solve the equation (𝑥 + 𝑠𝑖𝑛𝑦)𝑑𝑥 + (𝑦2 + 𝑥𝑐𝑜𝑠𝑦)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.
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
72
79
56
81
82
98
y
71
66
60
68
61
94
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 percentage of successful field goals if the percentage of successful free throws is 49? Round your answers to the nearest hundredths.
