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The polynomial −2x3 − x2 + 13x in the last line is the result of subtracting 3x4 + 9x3 + 3x2 from the dividend and bringing down 13x .Complete the division. The quotient is 3x2 + _____????x + ______????
General
4 months ago
Using your answers from parts b and c, what are the ages of the brother and sister, respectively?
General
4 months ago
A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid? xy cm3 x2y cm3 xy2 cm3 x2y cm3
General
4 months ago
In a second grade class containing 13 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl?
General
4 months ago
Which set of numbers is an arithmetic sequence?1, 5, 8, 13, ...2, 4, 8, 32, ...25, 21, 17, 13, ...81, 27, 9, 3, ...
General
4 months ago
An artifact is discovered at a certain site. if it has 59% of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year? (carbon-14 decays at the rate of 0.0125% annually.)\",[{""content"":""0.59 \u00a0= (1 - 0.000125)^^x \u00a0 \u00a0where x = \u00a0number of years of decay<br \/><br \/>ln 0.59 \u00a0= x ln(0.999875)<br \/><br \/>x = 4221 \u00a0to nearest year""}
General
4 months ago
Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores. 88%, 73%, 97%, 76%, 90%, 80% which measure of center would best represent ari's grade? the mean the median both the mean and the median neither the mean nor the median
General
4 months ago
A coin is flipped 150 times. The results of the experiment are shown in the following table:Heads Tails84 66Which of the following statements best describes the experimental probability of getting heads?A. It is equal to the theoretical probability.B. It is 6% lower than the theoretical probability.C. It is 6% higher than the theoretical probability.D.The experimental probability cannot be concluded from the data in the table.
General
4 months ago
Victor is measuring his bodily dimensions. his neck is 14.72 inches in circumference, and his forearm is 25.81 centimeters long. there are 2.54 centimeters in 1 inch. which of victor's measurements is longer, and by what percent
General
4 months ago
Use the three steps to solve the problem. the length of a rectangle is 2 inches less than 3 times the number of inches in its width. if the perimeter of the rectangle is 28 inches, what is the width and length of the rectangle? {width a0in., length a1in.}
General
4 months ago
Which is the correct form of the quadratic formula? A) x = b ± b2 - 4ac a B) x = b ± b2 - 4ac 2a C) x = - b ± b2 - 4ac a D) x = - b ± b2 - 4ac 2a
General
4 months ago
Lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. a bank conducts interviews of job applicants with the use of the lie detector. there are 15 applicants who are interviewed.a.assuming all 15 applicants tell the truth, what is the probability that the lie detector will conclude that all 15 are telling the truth?b.assuming all 15 applicants tell the truth, what is the probability that the lie detector will conclude that at least one is lying?c.what are the mean and standard deviation of the 15 applicants the lie detector concludes are lying?d.what is the probability that the number of truthful applicants classified as liars is greater than the mean?
General
4 months ago
when divided by 3, i am 700. when divided by 7, i am 300. what number am i?
General
4 months ago
Amanda owns a clothing store that sells graphic t-shirts. n is the number of shirts she sells each month. the revenue function of her store is r = 25n. the cost function of her store is c = 10n + 900. using your calculator, what is the break-even point of amanda's store?
General
4 months ago
A person whose eye level is 1.5 meters above the ground is standing 75 meters from the base of the jin mao building in shanghai, china. the person estimates the angle of elevation to the top of the building is about 80º. what is the approximate height of the building
General
4 months ago
A ball is thrown downward from the top of a 190-foot building with an initial velocity of 21 feet per second. the height of the ball h after t seconds is given by the equation h equals negative 16 t squared minus 21 t plus 190. how long after the ball is thrown will it strike the ground?
General
4 months ago
A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square feet of sheet metal, then what is the largest volume of such a bin? what are its dimensions?
General
4 months ago
A church has 10 bells in its bell tower. before each church service 3 bells are rung in sequence. no bell is rung more than once. how many sequences are there?
General
4 months ago
Consumer reports stated that the mean time for a chrysler concorde to go from 0 to 60 miles per hour was 8.7 seconds. (a) if you want to set up a statistical test to challenge the claim of 8.7 seconds, what would you use for the null hypothesis? μ > 8.7 μ = 8.7 μ ≠ 8.7 μ < 8.7 (b) the town of leadville, colorado, has an elevation over 10,000 feet. suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in leadville (because of less oxygen). what would you use for the alternate hypothesis? μ = 8.7 μ ≠ 8.7 μ < 8.7 μ > 8.7 (c) suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. what would you use for the alternate hypothesis? μ > 8.7 μ = 8.7 μ < 8.7 μ ≠ 8.7 (d) for each of the tests in parts (b) and (c), would the p-value area be on the left, on the right, or on both sides of the mean? both; left left; both right; left left; right
General
4 months ago
lliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?
General
4 months ago
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