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Reserve Problems Chapter 4 Section 5 Problem 2 A laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes. (a) What is the probability that the battery life is at least 10.1 hours? Round your answer to four decimal places (e.g. 98.7654).
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2 months ago
Find the area of the surface. The surface with parametric equations x = u2, y = uv, z = 1 2 v2, 0 ≤ u ≤ 2, 0 ≤ v ≤ 1.
General
2 months ago
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1) (astroid)
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2 months ago
Put the following in order for the most area in the tails of the distribution. (a) Standard Normal Distribution (b) Student's t-Distribution with 30 degrees of freedom. (c) Student's t-Distribution with 50 degrees of freedom. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.
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2 months ago
Dave the jogger runs the same route every day (about 2.2 miles). On 18 consecutive days, he recorded the number of steps on his Fitbit. The results were 3,450 3,363 3,228 3,360 3,304 3,407 3,324 3,365 3,290 3,289 3,346 3,252 3,237 3,210 3,140 3,220 3,103 3,129 Click here for the Excel Data File (a) Construct a 95% confidence interval for the true mean number of steps Dave takes on his run. (Round your answers to 2 decimal places.) The 95% confidence interval is from to . (b) What sample size would be needed to obtain an error of ± 20 steps with 95% confidence? (Enter your answer as a whole number (no decimals). Use a z-value taken to 3 decimal places in your calculations.) Sample size
General
2 months ago
A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the students preferred dubstep, 25% of the students liked trance music, and 20% wanted to hear only house music. Fifteen percent of the respondents selected both dubstep and trance.A - The proportion of students that like trance music but not dubstep is:a) 20% .b) 5% .c) 10% .d) 15%B - The proportion of students that like either dubstep or trance is:a) 40% .b) 100% .c) 55% .d) 70% .C - The proportion of students that like neither trance music nor dubstep is:a)60% .b) 20% .c) 0% .d) 40% .D - The proportion of students that didn’t select any of the music options available on the survey was:a) 0% .b) 40% .c) 20% .d) 60% .E - The proportion of students that preferred either dubstep or trance is calculated by:a) P(A)+P(B)+P(A and B) .b) None of the answer options are correct.c) P(A)+P(B) .d) P(A)+P(B)?P(A and B) .F - The conditional probability that a student likes dubstep, given that he or she likes trance music, is:a) 70% .b) 65% .c) 60% .d) 55% .
General
2 months ago
Natalie sawed five boards of equal length to make a stool. Each was 9 tenths of a meter long. What is the total length of the boards she sawed? Express your answer as the sum of a whole number and the remaining fractional units.
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2 months ago
Neurons fire action potentials (spikes) at different frequencies under different circumstances. In one study, researchers position an awake-behaving monkey so that he or she is looking at a luminous dot 40 cm away, and they record the activity of a single neuron in the monkey's brain to determine the neuron's baseline. Over the course of 64 trials randomly interspaced with other conditions, that neuron is found to have an average baseline of x¯=26.8 spikes per second with a standard deviation of ????=33.2 spikes per second. What is the standard error of the sample mean, SE, in spikes per second? Give your answer to two decimal places.
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2 months ago
Nigel has 3 rolls of ribbon. Each roll has 8 3/4 feet of ribbon. It takes 1 3/4 feet of ribbon to make one bow. What is the total number of bows that Nigel can make using these 3 rolls of ribbon
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2 months ago
Nora and Lila are reading the same novel for book club. Nora is on page 128 and plans to read 8 pages per day until the next club meeting. Lilais on page 102 and plans to read 12 pages per day until the next club meeting.After how many days of reading will Nora and Lila be on the same page of the book? What page will they be on? NORA AND LIKA WILL BE ON THE SAME PAGE AFTER ____ DAYS OF READING . ON THAT DAY , THEY WILL BITH BE ON PAGE ___
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2 months ago
A cylinder has a radius of 4 feet and a height of 3 feet. What is the volume of the cylinder to the nearest tenth 3. Use 3.14 to approximate π
General
2 months ago
A line with a slope of 2 passes through (3,9) Which choice is an equation of this line?
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2 months ago
Two boxes contained 155 lb of flour. If you take 20 lb from the first and add it to the second, the first box will contain 12/19 of what is now in the second. What amount of flour was originally in each box?
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2 months ago
(05.02)Find the measure of angle x in the figure below: Two triangles are shown such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.
General
2 months ago
PLEASE HELP8.061. Draw a graph of the rose curve.r = 2 sin 3θ, 0 ≤ θ ≤ 2π A) a graph of three loops originating at the origin where one loop lies on and is symmetric about the y axis and the other two loops lie in quadrants one and two [-2, 2] by [-2, 2] B) a graph of four loops originating at the origin where each loop is entirely contained within each quadrant [-2, 2] by [-2, 2] C) a graph of four loops originating at the origin where each loop is entirely contained within each quadrant [-2, 2] by [-2, 2] D) a graph of three loops originating at the origin where one loop lies on and is symmetric about the axis and the other two loops lie in quadrants two and three [-2, 2] by [-2, 2]2. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.a circular graph with an indentation on the top to the origin[-5, 5] by [-5, 5] (2 points) A) r = 2 - 2 sin θ B) r = 3 - 2 sin θ C) r = 2 + 2 sin θ D) r = 1 - 3 sin θ3. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.r = 4 - 3 sin θ A) Origin only B) x-axis only C) y-axis only D) No symmetry4. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.r = 9 sin 7θ
General
2 months ago
WILL GIVE A BRAINLEST!!!!!!!!!!Which is true about the statementsThe graph of f(x) has a vertex of (–4, 6).The graph of f(x) is horizontally stretched.The graph of f(x) opens upward.The graph of f(x) has a domain of x <=–6.
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2 months ago
PLEASE HELP, 40 points, absurd answers will be reported, good answers will get brainliest8.03b(PART 1)Find at least three examples of conic sections in the real world (marketing, architecture, nature, etc.). Make sure your collage demonstrates at least two of the conic categories you have learned. You may use circles, ellipses, parabolas, or hyperbolas. Arrange your images on paper or in a document.(PART 2)Respond to each of the following prompts in a word processing document.Write a brief description about one of the conics from your collage.Write the equation that represents your conic in its standard form. To do this either find the measurements of your conic example to create the equation or guess the measurements of the conic.Your assignment must include:Your conics collage.A description about one conic from your collage.The standard form equation of one of the conics.An explanation of how the equation for the conic was found.
General
2 months ago
Solve the following word problem. A man travels from Town X to Town Y at an average rate of 50 mph and returns at an average rate of 40 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 45 mph. What is the distance from Town X to Town Y? ______ miles
General
2 months ago
the solution for which of the following requires use of absolute value?a: At a school fundraiser, students washed twenty cars for 5$ per vehicle. Each driver donated and additional $3-$5. How much money was raised.b: A local merchant donates 10% of her sales on the first day of each month to a local cause. if her annual donations total $1500 what is her average daily sales?c: If gas cost $3.50 per gallon, how much did Celia pay to fill her tank with 8.2 gallons?d: Marissa ran a half marathon (about 13.1 miles) in 2 hours and 4 minutes. what was her speed?
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2 months ago
PLEASE HELP8.03a1. Find the vertices and foci of the hyperbola with equation x squared over nine minus y squared over sixteen = 1. A) Vertices: (± 5, 0); Foci: (± 3, 0) B) Vertices: (± 3, 0); Foci: (± 5, 0) C) Vertices: (0, ± 3); Foci: (0, ±5) D) Vertices: (0, ± 5); Foci: (0, ± 3)2. Find the vertices and foci of the hyperbola with equation quantity x minus three squared divided by sixteen minus the quantity of y plus four squared divided by nine = 1. A) Vertices: (7, -4), (-1, -4); Foci: (-2, -4), (8, -4) B) Vertices: (-4, 7), (-4, -1); Foci: (-4, -2), (-4, 8) C) Vertices: (6, -4), (0, -4); Foci: (0, -4), (6, -4) D) Vertices: (-4, 6), (-4, 0); Foci: (-4, 0), (-4, 6)3. Graph the hyperbola with equation A horizontal hyperbola is shown on the coordinate plane centered at, negative one, four, with vertices at, negative four, negative four and two, negative four. = 1. A) A vertical hyperbola is shown on the coordinate plane centered at the origin with vertices at, zero, two and zero, negative two. B) A horizontal hyperbola is shown on the coordinate plane centered at, negative three, three, with vertices at, negative five, three and negative 1, three. C) A vertical hyperbola is shown on the coordinate plane centered at, three, negative three, with vertices at, three, negative one and three, negative five. D) A horizontal hyperbola is shown on the coordinate plane centered at the origin with vertices at, negative two, zero and two, zero.4. Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±7). A) y squared over forty nine minus x squared over four = 1 B) y squared over forty five minus x squared over four = 1 C) y squared over four minus x squared over forty nine = 1 D) y squared over four minus x squared over forty five = 15. Find an equation in standard form for the hyperbola with vertices at (0, ±6) and asymptotes at y = ± three divided by four times x..
General
2 months ago
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