Search & Filtering
Show that the two statements ¬∃x∀yP (x, y) and
∀x∃y¬P (x, y), where both quantifiers over the first vari-
able in P (x, y) have the same domain, and both quanti-
fiers over the second variable in P (x, y) have the same
domain, are logically equivalent.
There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
What js the present value of a $100 perpetuity if the interest rate is 7%? If interest rates doubled to 14%, what would its present value be?
The mean lifetime of the light bulbs produced by Volta Corporation is 1705 hours with a population standard deviation of 150 hours. The CEO of the company claims that a new production process has led to an increase in the mean lifetimes of the light bulbs. If Jeremy tested 130 bulbs made from the new production process and found that their mean lifetime is 1650 hours, test the hypothesis that the mean is not equal to 1705 hours using the level of significance of 0.10.
How will you interpret the mathematical concept from the case study to contribute towards logical thinking in emerge mathematics
On average, an insurance company receives 6 claims between 14:00 and 16:00 on a particular day. What is the probability that the company receives exactly 17 claims between 08:00 and 16:00?
question2:
Force (N) 0 20 40 60 80
Length (mm) 22 110 215 330 410
Use the table of measurements of length and
force that you have been supplied with to
complete the following activities:
(a) Draw a scatter graph for your given data.
Describe what the scatter graph is indicating.
(b) Use the scatter graph to estimate the
length for a force of 57N
(c) Calculate the line of regression of
extension on force (Y on X)
(d) Calculate the regression coefficient
(e) Explain what the regression coefficient
indicates?
(f) Use the equation for the line of regression
to predict the length for a force of 57N
(g) Compare the calculated value with the
value that you have determined from the
scatter graph.
(4.6 4.5 4.7 4.6 4.5 4.6 4.3 4.6 4.8 4.2
4.6 4.5 4.7 4.5 4.5 4.6 4.6 4.6 4.8 4.6)
1. Use the ungrouped data that you have been
supplied with to complete the following:
(a) Arrange the data into equal classes
(b) Determine the frequency distribution
(c) Draw the frequency histogram
(d) Create a cumulative frequency table for
the data
(e) Draw the cumulative frequency graph
(f) Use your cumulative frequency graph to
determine if the data is normally distributed
or not?
(g) Calculate: i) the mean and standard
deviation; li) the upper and lower quartile
values; and ili) the interquartile range for the
given data.
Let R be reflexive relation on a set A. Show that R ⊆R²?
Suppose that the mean weight of school children’s bookbags is 17.41 pounds, with a standard deviation of 2.2 pounds. Find the probability that the mean weight of a sample of 30 bookbags will exceed 17 pounds.
