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4(5a²b³)^2 / (2x³y^5)4 show your workYou invest $15,000 in a savings account with an annual interest rate of 2.5% in which the interest is compounded quarterly. How much money should you expect to have in the account after 5 years? Show your work
General
4 months ago
Surface integrals using a parametric description. evaluate the surface integral \int \int_{s} f(x,y,z)dS using a parametric description of the surface.f(x,y,z)=x2+y2, where S is the hemisphere x2+y2+z2=36, for z>=0
General
4 months ago
Consider the function, f(x) = 1 1 + x 2 . a. (10 pts) Compute Z 1 −1 f(x) dx using five point Simpson’s method (two Simpson partitions). Show all the calculations in exact arithmetic (i.e. use fractions throughout). b. (15 pts) Partition the interval [−1, 1] into 5 subintervals. For this partition, compute Z 1 −1 f(x) dx using trapezoid and midpoint methods. Show all the calculations in exact arithmetic
General
4 months ago
Store A uses the newsvendor model to manage its inventory. Demand for its product is normally distributed with a mean of 500 and a standard deviation of 300. What is its in-stock probability if Store A’s order quantity is 800 units?
General
4 months ago
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
General
4 months ago
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°
General
4 months ago
Consider the recurrence relation and some initial values for the Fibonacci sequence. Fk = Fk − 1 + Fk − 2 F0 = 1, F1 = 1, F2 = 2, Use the recurrence relation and values for F0, F1, F2, given above to compute F13 and F14.
General
4 months ago
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?
General
4 months ago
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?
General
4 months ago
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)
General
4 months ago
in which quadrant will the triangle be located after this series of transformations? Does the size of the triangle change after the series of transformations? 1. Translate (x, y) → (x + 1, y + 2) 2. R (origin, 90° clockwise) 3. Translate (x, y) → (x + 2, y - 3)
General
4 months ago
Heights (inches) Frequency 48 5 49 2 50 0 51 3 52 6 53 5 54 4 55 2 56 0 57 1 A frequency table is shown for the height's of 6th graders in a class at Oakville Elementary School. What is the probability that a sixth grader in this class is 52 inches tall?
General
4 months ago
After a storm, the Serafina family needs to have their roof replaced. Their house is in the shape of a pentagonal prism with the dimensions shown in the diagram.A roofing company gave Mr. Serafina an estimate based on a cost of $2.75 per square foot to replace the roof. How much will it cost the Serafina family to have their roof replaced?A $3,850B $1,500C $2,062.50 D $4,500Plz help
General
4 months ago
Trystan accepted a job offer with an annual salary of $33,907, paid on a semimonthly basis. What will be his gross pay on each of his paychecks?A) $652.06 B) $1304.12 C) $1412.79 D) $2825.58Yusef earned a 25% tip on a meal that cost $75.77. What was the tip amount?A) $9.42 B) $18.94 C) $15.68 D) $18.23Larry earns $11.25/hour selling televisions. He also earns 4.5% commission on his sales. What is his gross weekly pay for a week in which he worked 35 hours and sold $4000 worth of televisions?A) $180.00 B) $393.75 C) $573.75 D) $628.45 Brea worked 40 hours one week at a rate of $15.60/h. How much money was deducted from her gross pay for Social Security tax?A) $9.05 B) $15.60 C) $26.18 D) $38.69Kerri’s gross pay is $472.05 and her net pay is $296.15. What are her total deductions for the pay period?A) $175.90
General
4 months ago
⭐️ Help?.............
General
4 months ago
Driving from oban to stranraer a driver average 8 miles per gallon of fuel.if fuel cost 83 cents a gallon how much will the journey cost in fuel
General
4 months ago
Given: f(x) = 2x + 5 and g(x) = x 2 and h(x) = -2x h(g(f(x))) =
General
4 months ago
the variable Z1 and Z2 are defined as z1 equals 6i+3i and z2 equals 10 + 8i which expression is equivalent to Z1Z2
General
4 months ago
Explain the process the properties you have to use to solve the logarithmic equation: log3x + log34 - 2 log33 = 2
General
4 months ago
Which statement is true about the graphs of the two lines y = x + 2 and y = x ? The lines are perpendicular to each other because and are opposite reciprocals of each other. The lines are perpendicular to each other because 2 and are opposite reciprocals of each other. The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other. The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.
General
4 months ago
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