Search & Filtering
What is the number of subsets of a set with n elements, containing a given element (when element becomes fixed, part of every subset)?
A ball is thrown vertically upward with a speed of 7.1 m/s. Find:
(9 points)
a. Maximum height reached the ball
b. Its time of flight
c. Velocity the ball would return to its starting point
How many different samples of size 8 can be selected from a population with a size of 12 ?
Determine whether the set S is subspace of R5 defined by
S = f(x1; x2; x3; x4; x5) R5
: x1 = 3x2 and x3 = 7x4:
A. Find the length of the following confidence interval.
1. Upper limit = 0.995
Lower Limit = 0.437
2. Upper limit = 394.14
Lower Limit = 354.74
3. Upper limit = 0.02946
Lower Limit = 0.02244
4. 0.475 < p < 0.735
5. 0.355 < p < 0.570
A. Find the length of the confidence interval (s = standard deviation)
1. s = 3
n = 250
Confidence level = 95%
2. s = 6
n = 400
Confidence level = 99%
B. Determine the sample size, given the following data.
1. s = 5
E = 2.42
Confidence level = 95%
2. You want to estimate the mean gasoline price within your town to the margin of error of 6 centavos. Local newspaper reports the standard deviation for gas price in the area is 30 centavos. What sample size is needed to estimate the mean gas prices at 99% confidence level?
3. Carlos wants to replicate a study where the highest observed value is 14.8 while the lowest is 14.2. He wants to estimate the population mean µ to the margin of error of 0.025 of its true value. Using 95% confidence level, find the sample size n that he need.
A consumer advocacy group suspects that a local supermarket’s 500 grams of sugar actually weigh less than 50 grams. The group look a random sample of 20 such packages, weigh each one, and found the mean weight for the sample to be 496 grams with standard deviation of 8 grams. Using 1% significance level, would you conclude that the mean weight is less than 500 grams? Also, find the 99% confidence interval of the true mean.
It was found that 90% of cucumber seeds sown in the soil germinate. Determine the most likely
number of germinated grains if there are 70 grains in the package.
U={1,2,3,4,5,6,7,8,9,10}
A={2,3,4,5,8}
B={2,4,6,8,10}
C={1,3,5,7,9}
Instruction: Solve the given below using the sets above
1.( (C U A)-B)’ ∩ (B’ U A)
2.(((BUA)’ U (CUA)’) U ((A-B)’ ∩ (B-C)’))
Suppose you invest R10 000 at a simple interest rate of 12% per year. What would be the value of the accumulated amount after 6 years
