07/16/20

Geometry question

A regular hexagon with side lengths of 18 is inscribed in a circle. Everything outside the hexagon is the shaded region. How to find area of shaded region?

07/15/20

Find the volume of the solid generated by revolving the region about the y axis

The area of the region is 1. y < or equal to 1/x2, y> or equal to 0, x > or equal to 1. Volume of the solid generated by revolving the region about the x axis=pi/3.Please do not use the... more

07/14/20

Use the following information about L1 and L2 to check Whether they intersect or not.

Use the following information about L1 and L2 to check Whether they intersect or not.Line L1 passes through P1 (0,1,2) and P2 (-1,2,1).Line L2 has the parametric equation x=2-t2 y=t2 z=-t2 ... more

Sampling distribution

Suppose our population consists of the values (2, 3, 5, 7, 11, 13, 17), that is, our population is the first 7 prime numbers (one of each).a) If we take a simple random sample of size k, where k is... more

07/14/20

A man rows a boat 800 feet upstream against a constant current in 16 minutes.

A man rows a boat 800 feet upstream against a constant current in 16 minutes. He then rows 480 feet downstream (with the same current) in 8 minutes. Find the speed of the current and the equivalent... more

07/14/20

The price of admission to a high school play was $3.20 for students and $5.20 for nonstudents. If 373 tickets were sold for a total of $1463.60, how many of each kind were purchased?

The price of admission to a high school play was $3.20 for students and $5.20 for nonstudents. If 373 tickets were sold for a total of $1463.60, how many of each kind were purchased? student... more

07/14/20

Use the method of substitution to solve the system. (If there is no solution, enter NO SOLUTION.)

Use the method of substitution to solve the system. (If there is no solution, enter NO SOLUTION.) x2  +  z2  =  17 4x  +  y  =  3 y  +  z  =  3 Smaller values x,y,z=Bigger values x,y.z=

07/13/20

an experiment consists of tossing 4 fair (not weighted) coins, except one of the 4 coins has a head on both sides. Compute the probability of obtaining exactly 3 heads.

an experiment consists of tossing 4 fair (not weighted) coins, except one of the 4 coins has a head on both sides. Compute the probability of obtaining exactly 3 heads.

07/11/20

Find the equation of the plane that passes through points...

Find the equation of the plane that passes through points (0, 1, 2),(2, 1, 0), and (1, 1, 0). Is it perpendicular to the plane 2x + 3z − 2 = 0?

07/11/20

Vectors-finding angle and distance from a point

Use the following information to answer questions (1) and (2). Plane A passes through points (1, 0, 0),(0, 1, 0),(0, 0, 1) Plane B is perpendicular to the vector n = 2i + j − 2z. (1) What is the... more

Find the value for a so there is no jump discontinuity in the function. f(x) = { (x + 3)^2 , x ≤ −2 x + a, x > −2

I am not sure how solve this. The one thing I do know is that I have to set both (x+3)^2 and x+a equal to the same thing. I am just not sure what to set the functions equal too. The answer is a=3.

07/11/20

Let f ( x ) = x /x + 4 . Find the values of x where f ' ( x ) = 3 . The greater solution of x =, the lesser solution of x=

I used the quotient rule to find the derivative and got x(x+4)-x(x) all divded by (x+4)^2. then i simplified it to 4x/(x+4)^2. what do I do now?

How can I estimate the probability of a random variable from one population being greater than all other random variables from unique populations?

Lets assume I have samples from 4 unique populations. Let's also assume I have a mean and standard deviation from each of these populations, they are normally distributed and completely independent... more

07/10/20

Approximate the height of the cathedral. (Round your answer to the nearest whole number.)

A cathedral is located on a hill. When the top of the spire is viewed from the base of the hill, the angle of elevation is 48°. When it is viewed at a distance of a = 100 feet from the base of the... more

07/09/20

Prove the statement. State the justification or theorems for each step in the proof.

Show that if P(A│B) = P(A│BC), then A and B are independent.

07/09/20

Prove the statement.

If P(A) = a, P(B) = b, P(C) = c then P(AB-C) > a+b-c-1.

07/09/20

Optizimation Question

Four feet of wire is to be used to form a square and a circle. How much of the wire shouldbe used for the square and how much should be used for the circle to enclose the (a)maximum total area? (b)... more

07/09/20

Find the intervals on which f is increasing and the intervals on which it is decreasing.

f(x)= x^4/4 - 3x^3 + 9x^2

07/08/20

What is the value of tan(theta) on an interval?

When (π / 2) < theta < (3π / 4),What is the value of tan(theta)?

Could someone help me with this algebra question please

Find (f(x+h) - f(x))/h if f(x) = 5x^2 + 4

X and Y are independent exponential random variables

Suppose that X and Y are independent exponential random variables each with mean 1. What is P(Y > X2)?

07/07/20

Use a geometric series to represent....

Use a geometric series to represent 1/(3−2x) as a power series about x = 0, and find its intervals of convergence.

07/07/20

diverge or converge

please provide if it diverges or converges and please provide steps.∞∑ sin (6n2+5 /n5+5)n=1

07/06/20

probability problem

There is a bag with 3 yellow marbles 2 blue marbles and 1 green marble. The marbles are shooken up. I pull out 2 marbles one at a time. what is the probability I pick not green then blue. please... more

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