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Question 1206820: A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events, 8 do both swimming and field events. If 15 students do field events only and 10 do both swimming and track events, how many students do
a) swimming only,
b) track events only,
c) all three events?
Click here to see answer by ikleyn(52750)   |
Question 1206823: In a survey of 290 newspaper readers, 181 of them read the Daily Times, 142 read the Guardian, 117 read Punch and each reads at least one of the three papers. If 75 read the Daily Times and the Guardian, 60 read the Daily Times and Punch and 54 read the Guardian and Punch:
a) Draw a Venn diagram to illustrate this information.
b) How many readers read
i) all three papers,
ii) exactly two of the papers,
iii) exactly one of the papers,
iv) the Guardian alone?
Click here to see answer by greenestamps(13195)  |
Question 1206848: In a certain class, 22 pupils take one or more of chemistry, economics and government.
12 take economics (E), 8 take government (G) and 7 take chemistry (C). Nobody takes economics and chemistry and 4 pupils take economics and government.
a) Draw a Venn diagram to illustrate the information.
b) How many pupils take
i) both chemistry and government?
ii) government only?
Click here to see answer by ikleyn(52750) |
Question 1206845: Write each given statement in symbolic form and indicate its truth value. Write only your answer on your answer sheets.
1. Either Manila is in Region III or 3 is not a rational mumber.
2. The square of any nonzero number is positive and two is a composite mimber.
3. If two is a composite number, then Manila is in Region III.
4. √3 is a rational number if and only if two is a composite number.
5. Neither two is not a composite mumber nor the square of any nomzero number is positive.
6. If two is a composite number, then either √3 is a rational number or the square of any nonzero number is positive.
7. Manila is not in Region III if and only if either the square of any nonzero number is positive or two is a composite mumber.
8. If two is not a composite number, then Manila is in Region III implies that √3 is not a rational number.
9. 3 is a rational number whenever either two is a composite number or the square of any nonzero number is positive.
10. Manila is in Region III is necessary for the seqptare of any nonzero number to be positive.
Click here to see answer by ikleyn(52750) |
Question 1206844: Determine whether the following sentences are propositions or not. On your answer sheets, write only P or NP. Write P if proposition and NP if not.
1.Your final grade in mathematics in the modern world is either a 5.0 or a 3.0
2. Use coloured papers for your answers in this activity.
3. Some cities in Manila suspended the face to Ince classes because of high temperature.
Click here to see answer by Edwin McCravy(20054)  |
Question 1206937: The volume of a right circular cone is 5 litres. Calculate the volumes of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base. Give your answers to the nearest ml.
Click here to see answer by greenestamps(13195) |
Question 1206938: Random samples of size n = 90 were selected from a binomial population with p = 0.3. Use the normal distribution to approximate the following probability. (Round your answer to four decimal places.)
P(0.28 ≤ p̂ ≤ 0.39) =
Click here to see answer by ikleyn(52750) |
Question 1206939: Random samples of size n = 95 were selected from a binomial population with p = 0.3. Use the normal distribution to approximate the following probability. (Round your answer to four decimal places.)
P(p̂ < 0.20) =
Click here to see answer by ikleyn(52750) |
Question 1206942: A random sample of n = 900 observations from a binomial population produced x = 691 successes.
Give the best point estimate for the binomial proportion p. (Round your answer to three decimal places.)
p̂ =
Calculate the 95% margin of error. (Round your answer to three decimal places.)
You may need to use the appropriate appendix table to answer this question.
Click here to see answer by Theo(13342)  |
Question 1206975: A total of y matches are needed to fill 30 matchboxes with the same number of matches in each box. If each box has three matchstick less, there will be enough sticks for 32 boxes. What is the value of y?
Click here to see answer by Theo(13342) |
Question 1207007: For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.)
A researcher wishes to show that a modified treatment decreases the mean time to recovery 𝜇, which is currently 6 days.
H0:
Ha:
Click here to see answer by MathLover1(20849)  |
Question 1207008: A new variety of pearl millet is expected to provide an increased yield over the variety presently in use which is about 90 bushels per acre. The new variety of millet produced an average yield of
x = 98 bushels
per acre with a standard deviation of
s = 12.4 bushels
based on 40 one-acre yields.
Find the value of the test statistic for testing the hypotheses that the new variety will increase yield. (Round your answer to two decimal places.)
Click here to see answer by Theo(13342) |
Question 1207006: For the situation described below, state the null hypothesis,
H0,
and the alternative hypothesis,
Ha,
to be tested. (Enter != for ≠ as needed.)
A statistical test is designed to show that the mean 𝜇 is different from 110.
H0:
Ha:
Click here to see answer by Theo(13342) |
Question 1207005: For the situation described below, state the null hypothesis, H0, and the alternative hypothesis, Ha, to be tested. (Enter != for ≠ as needed.)
A statistical test is designed to show that the proportion p of defectives has decreased below 0.2%.
H0:
Ha:
Click here to see answer by Theo(13342) |
Question 1207036: A train travels a certain journey and is supposed to arrive at midday. When its average speed is 40km/h, it arrives at 1 p.m. When its average speed is 48km/h, it arrives at 11 a.m. What is the length of the journey?
Click here to see answer by ikleyn(52750) |
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