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MATH SOLVE
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The graph of the function f(x) = –(x + 3)(x – 1) is shown below. Which statement about the function is true? The function is positive for all real values of x where x < –1. The function is negative for all real values of x where x < –3 and where x > 1. The function is positive for all real values of x where x > 0. The function is negative for all real values of x where x < –3 or x > –1.
General
4 months ago
Your goal is to spend less than $450 on a trip. So far, you have spent $75 dollars on gas for your car. You will spend $100 each day on other expenses. Let d represent the number of days for your trip. Write an inequality and solve.
General
4 months ago
According to the Shannon Diversity Index, which of the five blocks above, with each containing 36 squares, would show the greatest diversity? The different shades represent different species, and more squares of a shade represent higher abundance. Use the figures to answer the following question. Five blocks are shown. Block 1 has 18 white squares and 18 light gray squares. Block 2 has 9 white squares, 18 light gray squares, and 9 dark gray squares. Block 3 has 23 light gray squares and 13 dark gray squares. Block 4 has 6 white squares, 2 light gray squares, 4 dark gray squares, and 24 black squares. Block 5 has 9 white squares, 9 light gray squares, 9 dark gray squares, and 9 black squares. According to the Shannon Diversity Index, which of the five blocks above, with each containing 36 squares, would show the greatest diversity? The different shades represent different species, and more squares of a shade represent higher abundance. 5 2 1 4
General
4 months ago
4.7.5 (Video Solution) The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 18 minutes. (a) What is the probability that there are no calls within a 30-minute interval? Enter your answer in accordance to the item a) of the question statement (Round your answer to 4 decimal places.) (b) What is the probability that at least one call arrives within a 10-minute interval? Enter your answer in accordance to the item b) of the question statement (Round your answer to 4 decimal places.) (c) What is the probability that the first call arrives within 5 and 10 minutes after opening? Enter your answer in accordance to the item c) of the question statement (Round your answer to 4 decimal places.) (d) Determine the length of an interval of time such that the probability of at least one call in the interval is 0.90. Enter your answer in accordance to the item d) of the question statement minutes (Round your answer to 2 decimal places.)
General
4 months ago
The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions (“Experimental Measurement of the Stopping Performance of a Tractor-Semitrailer from Multiple Speeds,” NHTSA, DOT HS 811 488, June 2011): 32.1 30.6 31.4 30.4 31.0 31.9 The cited report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed. a. Does the data suggest that true average stopping distance exceeds this maximum value? Test the appropriate hypotheses using a 5 .01.
General
4 months ago
The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?
General
4 months ago
Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size nequals15, are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. Choose the correct answer below. A. Yes; the sample size must be over 30 for the sample means to be normally distributed. B. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. C. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size. D. No; as long as more than 30 samples are collected, the sample means will be normally distributed.
General
4 months ago
The slope is 7 and it passes through (8,6)
General
4 months ago
Express the complex number in trigonometric form. -5i
General
4 months ago
Please help need help to pass
General
4 months ago
A bag contains 3 gold marbles, 6 silver marbles, and 30 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $6, if it is silver, you win $5. If it costs $1 to play, what is your expected profit or loss if you play this game?
General
4 months ago
A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.2x^2-0.6x+2.250, where C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built to achieve that minimum?
General
4 months ago
The level of pesticides found in the blubber of whales is a measure of pollution in regions of the ocean. A sample of eight male minke whales in the West Greenland area of the North Atlantic finds a sample mean pesticide level of 357 nanograms per gram (ng/g) of blubber. Suppose that the concentration of pesticides in all such whales varies Normally with a known population standard deviation of 50 ng/g. A 90% confidence interval to estimate the mean level of pesticide in minke whales in this region is:
General
4 months ago
Suppose box A contains 2 red balls and 4 blue balls and box B contains 6 red balls and 3 blue ball. An experiment consists of drawing a ball from box A and then putting it in box B. A ball is then drawn from box B.What is the probability the first ball drawn was red given the second ball drawn was red?
General
4 months ago
PLEASE HELP!!! What is the remainder when f(x) = x2 + 14x − 8 is divided by (x − 4)?
General
4 months ago
A test to determine whether a certain antibody is present is 99.6% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.6% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.004. Suppose the test is given to four randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all four people? (b) What is the probability that the test comes back positive for at least one of the four people?
General
4 months ago
Kelly, Laura, and Tia so boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia so twice as many boxes as Kelly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?
General
4 months ago
Find the length of diagonal HJ. Round to the nearest hundredth.
General
4 months ago
find the value of. x part 1c
General
4 months ago
Saturn’s rings span up to about 3/4 of the distance between the Earth and its moon. If Saturn’s rings span up to 179,000 kilometers, what is the distance between Earth and its moon?
General
4 months ago
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