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Use logical equivalences (not a truth table) to reduce p → (q − p) to a tautology t. In other words, you should transform p → (q − p) into an equivalent statement, then transform that into another equivalent statement, and so on, until you arrive at a tautology. Your solution should look something like this: p → (q − p) = statement = statement = . . . . ... = t. (Note: the symbol = is technically the same as H. It's just easier to use = , because can easily be confused as being part of the logical statement you're transforming).
General
3 months ago
Determine each of the following.(a) {x ∈ Z | 0 < x, x2 ≤ 100}(b) |{x ∈ Z | 0 < x, x2 ≤ 100}|(c) |{x ∈ Z | x > 10, x2 ≤ 100}(d) {x ∈ Z | x > 10, x2 ≤ 100}|(e) | P(A) | , where A is the set from Part a.
General
3 months ago
Xavier can swim at a constant speed of 5/3 meters/second.a. What is the ratio of the number of meters to the number of seconds?b. Xavier is trying to qualify for the National Swim Meet. To qualify, he must complete a 100-meter race in 55 seconds. Will Xavier be able to qualify? Why or why not?c. Xavier is also attempting to qualify for the same meet in the 200-meter event. To qualify, Xavier would have to complete the race in 130 seconds. Will Xavier be able to qualify in this race? Why or why not?
General
3 months ago
Give the number to which the Fourier series converges at a point of discontinuity of f.f(x) = 3 - 2x, -π < x < π
General
3 months ago
The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals while grocery shopping; however, the Scott family needs help determining which stores have the better deals.1. At Grocery Mart, strawberries cost $2.99 for 2 lb., and at Baldwin Hills Market strawberries are $3.99 for 3 lb.a. What is the unit price of strawberries at each grocery store? If necessary, round to the nearest penny.b. If the Scott family wanted to save money, where should they go to buy strawberries? Why?2. Potatoes are on sale at both Grocery Mart and Baldwin Hills Market. At Grocery Mart, a 5 lb. bag of potatoes cost $2.85, and at Baldwin Hills Market a 7 lb. bag of potatoes costs $4.20. Which store offers the best deal on potatoes? How do you know? How much better is the deal?
General
3 months ago
Dave can clean pools at a constant rate of 3/5 pools/hour.a. What is the ratio of the number of pools to the number of hours?b. How many pools can Dave clean in 10 hours?c. How long does it take Dave to clean 15 pools?
General
3 months ago
Enguun earns $17 per hour tutoring student-athletes at Brooklyn University.a. If Enguun tutored for 12 hours this month, how much money did she earn this month?b. If Enguun tutored for 19.5 hours last month, how much money did she earn last month?
General
3 months ago
Emeline can type at a constant rate of 1/4 pages/minute.a. What is the ratio of the number of pages to the number of minutes?b. Emeline has to type a 5-page article but only has 18 minutes until she reaches the deadline. Does Emeline have enough time to type the article? Why or why not?c. Emeline has to type a 7-page article. How much time will it take her?
General
3 months ago
The corner store sells apples at a rate of 1.25 dollars per apple.a. What is the ratio of the amount in dollars to the number of apples?b. Akia is only able to spend $10 on apples. How many apples can she buy?c. Christian has $6 in his wallet and wants to spend it on apples. How many apples can Christian buy?
General
3 months ago
The ratio of cups of blue paint to cups of red paint is 1: 2, which means for every cup of blue paint, there are two cups of red paint. In this case, the equation would be red = 2 × blue, or rr = 2bb, where bb represents the amount of blue paint and rr represents the amount of red paint. Make a table of values.
General
3 months ago
A major grocery store chain is trying to cut down on waste. Currently, they get peaches from two different distributors, Whole Fruits and Green Grocer. Out of a two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. She then makes a confidence interval. Is there a significant difference in the quality of the peaches between the two distributors?95% CI for pW-pG:(0.064, 0.156)A. We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 LOWER than the proportion of non sell-able items for Green GrocerB. We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.C. We are 95% confident that the proportion of non sell-able peaches for Green Grocer is about 0.064 and 0.156.D. We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 LOWER and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.E. We are 95% confident that the proportion of non sell-able peaches from Whole Fruits is anywhere between 0.064 and 0.156.
General
3 months ago
A major Blu-ray rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that move than 5,000 of the 20,000 households in the area are equipped with Blu-ray players. It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have Blu-ray players. The value of the test statistic in this problem is approximately equal to 2.80. 2.60. 1.30. 1.94. A major Blu-ray rental chain considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with Blu-ray players. It conducts a telephone poll of 300 randomly selected households in the area and finds beat 96 haw Blu-ray players. The p - value associated with the test statistic in this problem is approximately equal to 0.0100 0.0013. 00.0051. 0.0026. A major Blu-ray rental chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20.000 households in the area are equipped with Blu-ray players. It conducts a telephone poll of 300 randomly selected households in the area and finds beat 96 have Blu-ray players. The rental chain's conclusion from the hypothesis test using a 5% level of significance is to delay opening a new store until additional evidence is collected. not to open a new store. to open a new store. We cannot tell what bee derision should be from the information given. Microsoft Excel was used on a set of data involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift She will make her decision using a test with a level of significance of 0.10. The following information was extracted from the Microsoft Excel output for the sample of 46 saws: n = 46, Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis; H_0; mu lessthanorequalto 20; a = 0.10; df = 45; T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject.
General
3 months ago
A sample of 50 students was taken from the local university. These students spent an average of $170 on books this semester, with a standard deviation of $25.50. Which of the following could you say with 95% confidence was the average spent on books by these 50 students? A. $170 plus or minus $3.46 B. $170 plus or minus $5.95 C. $170 plus or minus $8.42 D. None of these is correct.
General
3 months ago
A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data for a particular clinic follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan): 2.31 2.09 2.36 1.95 1.98 2.25 2.16 2.07 1.88 1.94 1.97 2.02 (a) Find a 95% two-sided confidence interval on the mean number of CAT scans performed each month at this clinic. (b) Historically, the mean number of scans performed by all clinics in the system has been 1.95. Is there any evidence that this particular clinic performs more CAT scans on overage than the overall system average?
General
3 months ago
Car A and car B are traveling at different speeds. Car A can travel 175 miles in the same time it takes car B to travel 125 miles. If car A travels 20 mph faster than car B, how fast (in mph) is car B traveling? (Enter an exact number.)
General
3 months ago
determine if each pair of triangles are congruent. Name the postulate or theorem you would use. If not, write not enough information
General
3 months ago
You have four socks in your drawer, 2 blue and 2 brown. You get up early in the morning while it's dark, reach into your drawer, and grab two socks without looking. What is the probability that the socks are the same color? (Hint: If you take one sock first, what's the probability the second sock matches it?) If instead there are 13 blue and 13 brown socks, what is the probability that the socks you choose are the same color? (please write as a fraction.) first case ____________second case _____________
General
3 months ago
1/2 (y+4)=(x-7)^2 in vertex form step by step
General
3 months ago
Shena made a table to show the steps and algebraic properties used to write an equivalent expression for 3x-5+7X+6.Step1234Expression3x-5+7x + 63x+7X+6-5(3x+7x)+(6-5)(3+7)+(6-5)10x+11PropertyCommutative propertyDistributive propertyDistributive propertyAddition propertyWhat error did Shena make?Shena should have written the associative property for step 1.Shena should have written the associative property for step 2.Shena should have written the associative property for step 3.Shena should have written the associative property for step 4.
General
3 months ago
02-3+30-8+p+pWhich statements about the expression are true? Check all that apply.The constants, -3 and -8, are like terms.The terms 3p and are like terms.The terms in the expression are p?. -3,30.-8.p.p.The terms p?. 3p.p, andhave variables, so they are like terms.The expression contains six terms.The terms p? and p are like terms.Like terms have the same variables raised to the same powers.The expression contains seven terms.
General
3 months ago
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