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Patrick T.

Intro Stats / AP Statistics

13 hours ago

This histogram displays NFL data from the 2010 football season reporting the number of yards gained by each of the leagueÔÇÖs 191 wide receivers: The mean is 397.15 yards, with a standard deviation of 362.4 yards. a) According to the Normal model, what percent of receivers would you expect to gain more yards than 2 standard deviations above the mean number of yards? b) For these data, what does that mean? c) Explain the problem in using a Normal model here.

LM

Lisa M.

Intro Stats / AP Statistics

13 hours ago

Medical researchers followed 1435 middle-aged men for a period of 5 years, measuring the amount of Baldness present (none = 1, little = 2, some = 3, much = 4, extreme = 5) and presence of Heart Disease (No = 0, Yes = 1). They found a correlation of 0.089 between the two variables. Comment on their conclusion that this shows that baldness is not a possible cause of heart disease.

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Janet R.

Intro Stats / AP Statistics

13 hours ago

Mina is waiting in line at the Department of Motor Vehicles (DMV). Her wait time of 32 minutes is the 85th percentile of wait times. Is that good or bad? Write a sentence interpreting the 85th percentile in the context of this situation.

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Educator P.

Intro Stats / AP Statistics

13 hours ago

On an exam, would it be more desirable to earn a grade with a high or low percentile? Explain.

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Alex T.

Geometry

13 hours ago

a. Draw a large scalene triangle $A B C$ . Carefully draw the bisector of $\angle A,$ the altitude from $A,$ and the median from $A .$ These three should all be different. b. Draw a large isosceles triangle $A B C$ with vertex angle $A$ . Carefully draw the bisector of $\angle A$ , the altitude from $A,$ and the median from $A .$ Are these three different?

SM

Samuel M.

Geometry

13 hours ago

Copy and complete the proof of Theorem $3-4$ . Given: Transversal $t$ cuts $l$ and $n;$ $$t \perp l ; l \| n$$ Prove: $t \perp n$

AM

April M.

Calculus 1 / AB

13 hours ago

In Exercises $39-46,$ solve the equation graphically by converting it to an equivalent equation with 0 on the right-hand side and then finding the $x$ -intercepts. $$ \sqrt{x+6}=6-2 \sqrt{5-x} $$

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Donald H.

Calculus 1 / AB

13 hours ago

Exercises $11-18$ refer to the data in Table 1.6 below, showing the percentage of the female and male populations in the United States employed in the civilian work force in selected years from 1954 to 2004 . $$ \begin{array}{lrl}{\text { Year }} & {\text { Female }} & {\text { Male }} \\ \hline 1954 & {32.3} & {83.5} \\ {1959} & {35.1} & {82.3} \\ {1964} & {36.9} & {80.9} \\ {1969} & {41.1} & {81.1} \\ {1974} & {42.8} & {77.9} \\ {1979} & {47.7} & {76.5} \\ {1984} & {50.1} & {73.2} \\ {1989} & {54.9} & {74.5} \\ {1994} & {56.2} & {72.6} \\ {1999} & {58.5} & {74.0} \\ {2004} & {57.4} & {71.9}\end{array} $$ (a) According to the numerical model, what has been the trend in males joining the work force since 1954 ? (b) In what 5 -year interval did the percentage of men who were employed change the most?

BP

Brian P.

Algebra

13 hours ago

In Exercises 7ÔÇô12, solve the equation by extracting square roots. $$2(x-5)^{2}=17$$

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Steven R.

Precalculus

13 hours ago

A water wheel has a radius of 12 feet. The wheel is rotating at 20 revolutions per minute. Find the linear speed, in feet per minute, of the water.

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Carol F.

Precalculus

13 hours ago

In Exercises $13-20,$ convert each angle in degrees to radians. Express your answer as a multiple of $\pi .$ $$ 330^{\circ} $$

PE

Patrick E.

Algebra

13 hours ago

Find the dimensions of the box described. The length is twice as long as the width. The height is 2 inches greater than the width. The volume is 192 cubic inches

CM

Carrie M.

Calculus 1 / AB

13 hours ago

In 2003 , the owl population in a park was measured to be 340. By 2007, the population was measured again to be $285 .$ The population changes linearly. Let the input be years since 1990 . a. Find a formula for the owl population, $P .$ Let the input be years since 2003 . b. What does your model predict the owl population to be in 2012?

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Richard H.

Calculus 1 / AB

13 hours ago

For the following exercises, use the graph in Figure $7,$ which shows the profit, $y$ , in thousands of dollars, of a company in a given year, $t,$ where t represents the number of years since 1980 . Find and interpret the slope.

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Erika M.

Calculus 1 / AB

13 hours ago

For the following exercises, determine whether the equation of the curve can be written as a linear function. $$ 3 x^{2}+5 y=15 $$

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Angela H.

Calculus 3

13 hours ago

[T] A solar panel is mounted on the roof of a house. The panel may be regarded as positioned at the points of coordinates (in meters) $A(8,0,0)$, $B(8,18,0)$, $C(0,18,8)$ and $D(0,0,8)$ (see the following figure). a. Find the general form of the equation of the plane that contains the solar panel by using points A, B, and C, and show that its normal vector is equivalent to $\overrightarrow{A B} \times \overrightarrow{A D}$ b. Find parametric equations of line $L_{1}$ that passes through the center of the solar panel and has direction vector $\mathbf{s}=\frac{1}{\sqrt{3}} \mathbf{i}+\frac{1}{\sqrt{3}} \mathbf{j}+\frac{1}{\sqrt{3}} \mathbf{k}, \quad$ which points toward the position of the Sun at a particular time of day. c. Find symmetric equations of line $L_{2}$ that passes through the center of the solar panel and is perpendicular to it. d. Determine the angle of elevation of the Sun above the solar panel by using the angle between lines $L_{1}$ and $L_{2}$

AW

Austin W.

Calculus 1 / AB

13 hours ago

For $f(x)=\frac{P(x)}{Q(x)}$ to have an asymptote at $x=0$ then the polynomials $P(x)$ and $Q(x)$ . must have what relation?

AR

Anthony R.

Calculus 1 / AB

13 hours ago

After a diver jumps off a diving board, the edge of the board oscillates with position given by $s(t)=-5 \cos t \mathrm{cm}$ at $t$ seconds after the jump. a. Sketch one period of the position function for $t \geq 0$ . b. Find the velocity function. c. Sketch one period of the velocity function for $t \geq 0$ . d. Determine the times when the velocity is 0 over one period. e. Find the acceleration function. f. Sketch one period of the acceleration function for $t \geq 0$

EH

Edward H.

Calculus 1 / AB

13 hours ago

[T] A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function, where t is measured in seconds and s is in inches: $s(t)=-3 \cos \left(\pi t+\frac{\pi}{4}\right)$ a. Determine the position of the spring at $t=1.5 \mathrm{s}$ b. Find the velocity of the spring at $t=1.5 \mathrm{s}$

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Teresa R.

Calculus 1 / AB

13 hours ago

For the following exercises, use the information in the following table to find h?(a) at the given value for a. $$h(x)=g(f(x)) ; a=0$$

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Benjamin M.

Calculus 1 / AB

13 hours ago

For the following exercises, find $\frac{d y}{d x}$ for each function. $$y=\sqrt{6+\sec \pi x^{2}}$$

ST

Susan T.

Calculus 1 / AB

13 hours ago

a. Find the equation $C=f(x)$ that describes the total cost as a function of number of shirts and b. determine how many shirts he must sell to break even if he sells the shirts for $\$ 10$ each.

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Alex T.

Calculus 1 / AB

13 hours ago

For the following exercises, determine the point $(s),$ if any, at which each function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. $$ f(x)=\frac{|x-2|}{x-2} $$

BR

Bobby R.

Calculus 1 / AB

13 hours ago

In the following exercises, use the following graph of the function $y=f(x)$ to find the values, if possible. Estimate when necessary. $$ \lim _{x \rightarrow 1} f(x) $$

AF

After F.

Calculus 1 / AB

13 hours ago

For the following exercises, consider the function $$ f(x)=\frac{x^{2}-1}{|x-1|} $$ Complete the following table for the function. Round your solutions to four decimal places.

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