Kevin will take 4 math tests this term. All of the tests are worth the same number of points. After taking the first 3 tests, his mean test score is 88 points. How many points does he need on his last test to raise his mean test score to 90 points?Choose the sentence that describes how the quantities in the problem are related.CHECKThe mean score is the total of all scores minus the number of tests taken.The total of the scores multiplied by the number of tests taken is the mean score.The mean score is the total of all scores divided by the total number of tests.The total of Kevin’s scores is the mean score divided by the number of tests taken.

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general 10 months ago 8218

1. (8.3 × 10-3)(69,500) 2. (2.13 × 109)(5.6 × 10–7) 3. (4.3 × 105)(3.7 × 103) 4. (3600)(7.5 × 10–2) 5. 1.8 × 102 − 7.5 6. 5.32 × 106 − 7.6 × 10-2 7. 3.6 × 10-4 − 2.88 × 103 8. 3.92 × 10-3 − 9.8 × 10−4 9. (2.2 × 105)(2,500) 10. (9.66 × 103)(2.6 × 10-5) 11. (5.24 × 10-8)(6.9 × 103) 12. (1.1 × 104)(7.7 × 10-1) 13. 9.45 × 106 − 2.7 × 104 14. 1.8 × 10−3 − 7.5 × 10-1 15. 26,607 − 5.43 × 102 16. 3.6 × 10-1 − 4 × 107 17. (1.6 × 103) + (4.77 × 102) 18. (8.735 × 104) + (2.8 × 105) 19. (3.31 × 109) - (2.2 × 108) 20. (9.475 × 105) - (1.9 × 103) 21. (34,500) - (6.3 × 102) 22. (8.8 × 107) - (49,000) 23. (7.28 × 1010) + (1.9 × 1010) 24. (3.325 × 105) + (2.7 × 103) 25. (4500) - (3.0 × 102) 26. (7.89 × 106) - (4.5 × 106)

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general 10 months ago 1883

The candy company that makes M&M's claims that 10% of the M&M's it produces is green. Suppose that the candies are packaged at random in large bags of 200 M&M's. When we randomly pick a bag of M&M's, we may assume that this represents a simple random sample of size n = 200. Suppose we wish to test H0: p = 0.10 versus Ha: p ≠ 0.10. Suppose that in the randomly selected bag of M&M's there are only 12 green M&M's. Calculate the value of the large-sample z statistic. If a 90% confidence interval were also calculated from the data, would it contain the value 0.10?

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general 10 months ago 5609

A random sample of 60 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 16 of these helmets some damage was observed. (a) Find a 95% two-sided confidence interval on the true proportion of helmets of this type that would show damage from this test. Round your answers to 3 decimal places. ≤p≤ (b) Using the point estimate of p obtained from the preliminary sample of 60 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of p is less than 0.02? n= (c) How large must the sample be if we wish to be at least 95% confident that the error in estimating p is less than 0.02, regardless of the true value of p?

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general 10 months ago 4924

Solve the equation for all degree solutions and if 0° ≤ θ < 360°. Do not use a calculator (Enter your answers as a comma-separated list. If there is no solution, write no solution.)1. 2 sin θ= root 2(a) all degree solutions (let k be any integer.)(b) 0≤ θ < 360°2. 2 cos θ − root 3=0(a) All degree solutions (let k be any integer.)(b) 0≤ θ < 360°3. root 3 cot θ- 1=0(a) all degree solutions (Let k be any integer.)(b) 0° ≤ θ < 360°

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general 10 months ago 8439

A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sample of 40 bins, the sample mean amount was 52.8 pounds and the sample standard deviation was 3.9 pounds. Construct 95% and 99% confidence intervals for the mean amount of garbage per bin for all bins in the city.a) What is the lower limit of the 95% interval? Give your answer to three decimal places.b) What is the upper limit of the 95% interval? Give your answer to three decimal places.c) What is the lower limit of the 99% interval? Give your answer to three decimal placesd) What is the upper limit of the 99% interval? Give your answer to three decimal places.e) Consider the claim that the mean amount of garbage per bin is 54.1985 pounds. Is the following statement true or false? The decision about the claim would depend on whether we use a 95% or 99% confidence interval: True/False

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general 10 months ago 1820