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General
What is the inverse of the function f(x) = 4x + 8?h(x) = one-quarterx – 2h(x) = one-quarterx + 2h(x) = one-halfx – 2h(x) = one-halfx + 2
General
4 months ago
What is the missing step in solving the inequality 4(x – 3) + 4 = 10 +6X?1. The distributive property: 4x - 12 + 4 < 10 + 6x2. Combine like terms: 4x -8 <10 + 6x3. The addition property of inequality: 4x < 18 + 6x4. The subtraction property of inequality: -2x < 185. The division property of inequalityxs-9OX-9
General
4 months ago
Suppose you are asked to find minimum and maximum values of a continuous function f: R n → R on one of the following regions: (a) all of R n , (b) an open region in R n (one example is region x 2 1 + . . . + x 2 n < 1), (c) a hypersurface in R n comprised of those points satisfying a single constraint equation g(x1, . . . , xn) = c (examples include the hypersurface defined by x 2 1 + . . . + x 2 n = 1 or x1 + . . . + xn = 0), or (d) a closed and bounded region in R n (an example is the region defined by x 2 1 + . . . + x 2 n ≤ 1). For each of the four types of regions described above: (1) state and defend whether or not a global minimum or global maximum value necessarily exists (either by quoting a theorem from the text that global extrema exist or by giving a specific example of a function that has no global extremum on a particular region type), and (2) explain, in your own words, the procedure for finding the global extrema in the case(s) where they do exist. (definitions, extrema, regions, procedures)
General
4 months ago
Given matrices G and H below, which statement is true?G= 7 5 4 3 H= -6 -5 -4 -2A.) Matrices G and H are not inverses of each other because G + H does not equal I.B.) Matrices G and H are not inverses of each other because GH does not equal I.C.) Matrices G and H are inverses of each other because GH = I.E.) Matrices G and H are inverses of each other because G + H = I.
General
4 months ago
Franco and Caryl went to a bakery to buy desserts. Franco bought 3 packages of cupcakes and 2 packages of brownies for $19. Caryl bought 2 packages of cupcakes and 4 packages of brownies for $24. Let x equal the price of one package of cupcakes and y equal the price of one package of brownies. Write a system of equations that describes the given situation.
General
4 months ago
While John is traveling along a straight interstate highway, he notices that the mile marker reads 243 km. John travels until he reaches the 143 km marker and then retraces his path to the 163 km marker. What is John’s resultant displacement from the 243 km marker? Answer in units of km.
General
4 months ago
1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.
General
4 months ago
A baseball team has 30 players. They need to make cuts so that there are at most 25 baseball players on the team. WRite and solve an inequality to find the number of players that must must be cut from the team
General
4 months ago
Veronica is self employed. In one year, Veronica generates a gross income of $65,500. When calculating her taxes, Veronica is allowed to deduct up to $2,500 in expenses from her gross income (to give the 'operating income'), but if her expenses exceed $2,500 then any surplus must be deducted against her income after tax. In this calendar year, Veronica's total expenses were $5,500. The tax system is such that she must pay 15% tax on any operating income up to $25,000 and then 30% on any operating income over $25,000. Calculate Veronica's net profit, that is, the amount she earns after all taxes and expenses.
General
4 months ago
The distances between three cities on a map are 45 miles, 56 miles, and 72 miles. Do the positions ofthe three cities form a right triangle? How do we determine this? We use thePythagorean Theorem.
General
4 months ago
A researcher developing scanners to search for hidden weapons at airports has concluded that a new device is significantly better than the current scanner. He made this decision based on a test using a = 0.05. Would he have made the same decision at a = 0.10? How about a = 0.01? Explain.
General
5 months ago
An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was = 119.6 ounces. Suppose the standard deviation is known to be σ = 6.5 ounces. Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean μ. Based on the 25 recent birth records, the sampling distribution of the sample mean can be represented by:A. N(μ, 6.5).B. N(μ, 1.30).C. N(119.6, 1.30).D. N(119.6, 6.5).
General
5 months ago
The owner of a large car dealership believes that the financial crisis decreased the number of customers visiting her dealership. The dealership has historically had 800 customers per day. The owner takes a sample of 100 days and finds the average number of customers visiting the dealership per day was 750. Assume that the population standard deviation is 350. The value of the test statistic is ____________. Multiple Choice z = –1.429 t99 = 1.429 z = 1.429 t99 = –1.429
General
5 months ago
Find the absolute maximum and absolute minimum values of f on the given interval.a) f(t)= t sqrt(36-t^2) [-1,6]absolute max=absolute min=b) f(t)= 2 cos t + sin 2t [0,pi/2]absolute max=absolute min=
General
5 months ago
Ackerman & Goldsmith (2011) found that students who studied text from printed hard copy had better test scores than students who studied text presented on a screen. In a related study, a professor noticed that several students in a large class had purchased the e-book version of the course textbook. For the final exam, the overall average for the entire class was μ = 85, but the n = 10 students who purchased the e-book had a mean of M = 77 with a standard deviation of s = 6. Do these data indicate a significant decrease in test scores on the final exam due to the use of a e-book? Use a one-tailed test with α = .05.
General
5 months ago
Translate the following inequality into written language. 5x-6<14
General
5 months ago
PLEASE HELP 100PTS!!!!!!!! I SOLVED IT BUT I WANT TO CHECK MY ANSWERS!!DONT COPY OTHER ANSWERS I CAN TELL AND REPORT YOU!!!!A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:f(n) = 10(1.02)nPart A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function?Part B: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent?
General
5 months ago
A sample of 38 observations is selected from one population with a population standard deviation of 3.4. The sample mean is 100.5. A sample of 51 observations is selected from a second population with a population standard deviation of 5.8. The sample mean is 98.8. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ1 = μ2 H1 : μ1 ≠ μ2 a. This is a -tailed test. b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) c. Compute the value of the test statistic. (Round your answer to 2 decimal places. d. What is your decision regarding H0? e. What is the p-value? (Round your answer to 4 decimal places.)
General
5 months ago
A researcher wishes to estimate, with 95% confidence, the population proportion of adults who say chocolate is their favorite ice cream flavor. Her estimate must be accurate within 4% of the population proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 38% of the respondents said their favorite flavor of ice cream is chocolate. (c) Compare the results from parts (a) and (b).
General
5 months ago
A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She takes a random sample of 17 trucks and computes a sample mean of 20,000 pounds with sample standard deviation of 1,500. The 95% confidence interval for the population mean weight of a semi tracker truck is____________.
General
5 months ago
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