02/16/23

Solve the following system of equations by substitution or elimination. Enter your answer as (x,y).

x+3y = 6 -3x+2y = -18
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02/15/23

probability question
Given two fair 6 sided die rolled at the same time. What is the probability of getting a double?
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02/14/23

How would i set up the equation?
A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the radius is 15 cm. (Note the answer... more
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02/13/23

Find the volume of the solid generated by revolving the region bounded by x = y^2 + 1, y = 0, and x = 2 about the line x = 2.
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02/13/23

Probability and distribution
Consider a spinner where 1/3 of the area is red, 1/4 is blue, 1/3 is yellow, and 1/12 is green. Let X be the color where the pointer is after spinner once.1. If you spin once, what is the... more
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02/12/23

Can someone help me understand the problem?
Find the area of the region between the curves y=sinx, y=e^x, x=0, and x=pi/2What is the Area between curves?
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02/11/23

Mean Value Theorem
Consider the function f(x) = 3 - 7x^2 on the interval [3,5]. Find the average or mean slope of the function on this interval, i.e.(f(5)-f(-3)) / (5-(-3)) = By the Mean Value Theorem, we know... more
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02/11/23

If a ball is thrown straight up into the air with an initial velocity of 90 ft/s...?
if a ball is thrown straight up into the air with an initial velocity of 90 ft/s, its height in feet after t second is given by y=90(t)-16(t)squared. Find the average velocity for the time period... more
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02/09/23

Assume that there are 7 different issues of Time magazine, 6 different issues of Newsweek, and 4 different issues of Sports Illustrated, including the December 1st issue, on a rack.
You choose 4 of them at random. (1) What is the probability that you choose 2 issues of Time and 2 issues of Newsweek?(2) What is the probability that you choose at least 2 of the Newsweek magazines?
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02/09/23

Assume that the playbook contains 9 passing plays and 13 running plays. The coach randomly selects 7 plays from the playbook.
What is the probability that the coach selects at least 2 passing plays and at least 2 running plays?
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02/08/23

NEED HELP PLEASE :)))))
Find CD and EF and determine if CD = EF ... more
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02/08/23

A lottery has 46 numbers. How many ways can six numbers be drawn if the numbers are not repeated? There are Answer ways the number can be drawn.
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02/08/23

Optimization Solutions
A farmer is setting up separate pens for livestock by fencing off a rectangular area and running fence to create four parallel pens. If the farmer has a total of 200 feet of fence, what is the... more
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02/07/23

Distinguishable Arrangments

What is the number of distinguishable arrangements of the letters of the word SEXTILLION
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02/06/23

Determine k given that the enclosed region has area 16/3 units^2
Lines: y=ky=x2Answer: k= cube root of 16
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02/06/23

FOUR FAMILIES WITH FOUR CHILDREN EACH. WHAT IS THE PROBABILITY THAT TWO OF THE FAMILES WILL HAVE TWO BOYS AND TWO GIRLS IN ANY ORDER.
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02/06/23

a) Use the method of disks to find the volume of the solid obtained by rotating R about the y-axis.
Let R be the region bounded by y=4−^2 and the y-axis where 0≤x≤2.a) Use the method of disks to find the volume of the solid obtained by rotating R about the y-axis.b) Use the method of cylindrical... more
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02/05/23

Find the exact value of the trigonometric expression when sin(u) = − 12/13 and cos(v) = − 15/17 . (Both u and v are in Quadrant III.) cos(u + v)
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02/03/23

Find the volume of the solid obtained by revolving 𝑦(𝑥)=sin(7𝑥) for 0≤𝑥≤𝜋 about the 𝑥- axis.
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02/03/23

(-4,-1); y = 3/4x +6
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02/02/23

Assume the exponential function f ( x ) = 275 ⋅ 4 x describes the number of bacteria on a surface after x days. How many bacteria were there at the beginning?

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02/01/23

Assume that Pr[A′]=0.4 , Pr[B]=0.6 , and Pr[A′∩B]=0.3. Find probability of following events:
(1) Pr[A∩B] =(2) Pr[A∪B] =(3) Pr[A′∪B] =
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01/29/23

Find the probability that exactly two babies were born deaf.
According to a recent article the average number of babies born with significant hearing loss (deafness) is approximatelytwo per 1,000 babies in a healthy baby nursery. The number climbs to an... more
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01/27/23

The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the busiest in the world with an average of 60 births per day. Let X = the number of births in an hour.
What is the mean?What is the standard deviation?What is the probability that the maternity ward will deliver three babies in one hour? What is the probability that the maternity ward will deliver... more
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01/27/23

Find the area of the isosceles triangle with a hypotenuse of length 10 ft.
Find the area of the isosceles triangle with a hypotenuse of length 10 ft.
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