Search & Filtering
Water is flowing into a conical vessel 18 cm deep and 10 cm across the top at the rate of 4 cm3/min. The depth of the water is "h" cm. If the rate which the surface is rising is 0.1146 cm/min, find the value of "h"?
The Head of the Mathematics Department announced that the mean score of Grade 11
students in the first validating test in Mathematics was 65 and the standard deviation was 12.
One student who believed that the mean score was less than this, interviewed 50 randomly
selected students and obtained a mean score of 60. At 0.01 level of significance, test the
student's belief.
2. A simple random sample of 15 people from a certain population has a
mean age of 35 with a standard deviation of 20. Can we conclude that
the mean age of the population is younger than 35? Let alpha = .05.
Find the unit vector that is orthogonal to the vectors A=2i+j+k and B=-i+2j+k. Let the position of vectors of the vertices of triangle ∆ADC be OA=-2i+4j+k, OB=4i+j+k and OC=-7i+6k respectively. Use this information to answer
a)find the cosine of the angle between the side AB and AC
b)what is the the projection of the vector AC onto AB?
c)the area of the triangle ∆ABC can be calculated using?
d)find the area of the triangle ABC
A 9N force F1 and a 10N force F2 act in the same directions 2i+j-2k and 4i-3j respectively.
a) Find the resultant of the two forces
b)Find the total work done that the forces make the object move 2m along the vector s= i+j+k
c)find F1•F2
d)find F1 * F2
e)find the unit vector alone which the object will move to achieve maximum work done
f)what is the maximum work done that can be achieve if the tje forces displace the object by 1m
Read and analyze the following situations and supply the values of the following variables (if
there is any). On the third column, write known on the space provided if the situation gives
or can compute the value of the variance, otherwise write unknown. Identify also the formula
to be used to estimate the standard error of the mean by writing the symbols of, when the
population variance is known and sawhen the population variance is unknown,
Situation :
Given the population mean of 12, and a sample standard deviation of 3 in a sample size of 125
Given :
Answer :
Standard error formula :
If 50 of them are taken as samples, what is the probability that their mean height is less than 150cm?
What is the probability of getting a perfect square from the numbers 1 to 100?
A.
1/4
B.
1/10
C.
1/25
D.
1/5
E.
None of the above
The probability that two events, A and B, will both occur is represented by the following multiplication rule:
A.
P(A ∩ B) = P(A│B) × P(B)
B.
P (A ∩ B) = P(A) × P(B)
C.
P(A ∩ B) = P(B│A) × P(B)
D.
Both B and C.
E.
None of the above
Suppose a population consists of the ages of 5 students, as follows: 16, 17, 18, 19 and 20. Construct a sampling distribution of the sample mean using random variable of size n=2. Prepare a probability distribution of the sample means.
Introduction: Census Forecasting
You are tasked to do research on a census and forcast projected results.
Outline
Choose a location that you would like to know the population. This may be any state, a county, a region of the country, or a city. Use the Internet to search the location’ census reports.
You are to research the population given by the location’ census reports to find the population for each of the previous census reports for at least 20 entries.
Use statistics to explore models for the growth of the population over time. Establish a trendline using different methods. Apply different Smoothing techniques. Using the different methods, predict the next couple of census result.
Criteria:
• The research should have a short introduction.
• The research should contain detailed explanations on the how you are conducting your research. Show all calculations.
• The research should contain a short conclusion.
• Provide some photo or video evidence of you conducting the research.
