Mellie

226 Questions
221 Answers

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4090

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A point $(x,y)$ is randomly picked from inside the rectangle with vertices $(0,0)$, $(4,0)$, $(4,1)$, and $(0,1)$. What is the probability t

A point $(x,y)$ is randomly picked from inside the rectangle with vertices $(0,0)$, $(4,0)$, $(4,1)$, and $(0,1)$. What is the probability that $x < y$?

geno3141 ●●●●

Mellie Apr 27, 2015

0

1989

1

+1833

A very bizarre weighted coin comes up heads with probability $\frac12$, tails with probability $\frac13$, and rests on its edge with probabi

A very bizarre weighted coin comes up heads with probability $\frac12$, tails with probability $\frac13$, and rests on its edge with probability $\frac16$. If it comes up heads, I win 1 dollar. If it comes up tails, I win 3 dollars. But if it lands on its read more ..

Mellie Apr 26, 2015

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2318

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A fair 6-sided die is rolled. If the roll is even, then you win that amount of dollars (so that, for example, if you roll 4, then you win $4

A fair 6-sided die is rolled. If the roll is even, then you win that amount of dollars (so that, for example, if you roll 4, then you win $4). If the roll is odd, you win nothing. What is the expected value of your winnings? Express your answer as a dollar read more ..

Mellie Apr 26, 2015

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3589

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Two numbers between $0$ and $1$ on a number line are to be chosen at random. What is the probability that the second number chosen will exce

Two numbers between $0$ and $1$ on a number line are to be chosen at random. What is the probability that the second number chosen will exceed the first number chosen by a distance greater than $\frac 14$ unit on the number line? Express your answer as read more ..

Mellie Apr 26, 2015

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998

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Hi, another question

Mellie Apr 26, 2015

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1080

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Hi y'all I need help on a question that CPhill had partially answered (but very well) I need help on the rest. Can anyone help? Thanks!

http://web2.0calc.com/questions/in-class-we-saw-that-the-sum-of-the-entries-of-row-n-of-pascal-s-triangle-is-2-n-in-this-problem-we-investigate-the-sums-of-the-squares

Mellie Apr 26, 2015

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10339

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An eight-sided die has its faces numbered from 1 to 8. What is the expected value of the roll of the die?

An eight-sided die has its faces numbered from 1 to 8. What is the expected value of the roll of the die?

Alan ●●●●

Mellie Apr 26, 2015

0

2099

1

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On the number line, point $A$ is located at 0, point $B$ is located at 4, and point $C$ is located at 6. A dart randomly lands somewhere on

On the number line, point $A$ is located at 0, point $B$ is located at 4, and point $C$ is located at 6. A dart randomly lands somewhere on the number line between $A$ and $C$. What is the probability that it lands closer to $B$ than it does to $A$ or $C$? read more ..

Mellie Apr 26, 2015

0

2539

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A certain coin is weighted such that the chance of flipping heads is $\frac{1}{3}$ and the chance of flipping tails is $\frac{2}{3}$. Suppos

A certain coin is weighted such that the chance of flipping heads is $\frac{1}{3}$ and the chance of flipping tails is $\frac{2}{3}$. Suppose that we win $\$3$ if we flip a heads on a coin toss, but lose $\$2$ if we flip tails. What is the expected value, read more ..

Mellie Apr 25, 2015

0

3074

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A point is selected at random from the portion of the number line shown here. What is the probability that the point is closer to 4 than to

A point is selected at random from the portion of the number line shown here. What is the probability that the point is closer to 4 than to 0? Express your answer as a decimal to the nearest tenth.
number line from zero to five

Mellie Apr 25, 2015

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Hi! Good to see you too! I feel bad that I rarely come on anymore. You guys are amazing at answering questions all the time.

MellieSep 9, 2018

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Hi Melody! Just checking up on this site haha. You guys always help a TON.

MellieSep 9, 2018

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Since each letter corresponds with the respective letter given, you can just put it in the same order. What I mean is A corresponds with D, B with E, and C with F. So, if you want CAB, you can do FDE. (a)

and for FED, you can get CBA (b)

MellieSep 6, 2018

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+3

I’m pretty sure the answer is 3.5 m/s because 14 meters divided by 4.0 seconds is 3.5.

MellieSep 6, 2018

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+2

Ok so I think the form is ax^2+bc+c

So, 2x^2-3x+3

I did not think that this could be factored, so I am using the quadratic equation:

(-b+-sqrt(b^2-4ac))/2a

(3+-sqrt(9-4(2)(3)))/4

(3+-sqrt(-15))/4

Sqrt(-15) can have "i" taken out because it's imaginary.

(3+-isqrt(15))/4

answer 1: (3+i sqrt(15))/4

answer 2: (3-i sqrt(15))/4

I hope this is actually correct.

MellieApr 26, 2018

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+1

The volume equation for a cone is (1/3)pi*r^2*h.

We can plug in the given values.

(1/3)*3.14*15^2*60

this will give you 14,130 ft^3

I'm hoping I'm correct. Let me know!

MellieApr 26, 2018

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We know that sec(x) is equal to cos(x) because it is the reciprocal of cosine.

So, choice d cannot be correct because cos(x) cannot be 0, because it would result in an undefined answer.

We we know that cosine is adjacent/ hypotenuse. Of course, the reciprocal would be hypotenuse/adjacent.

If if you look at choice b, c, and e, the numerators (hypotenuse) are all smaller than the denominator (adjacent side). This is not possible because the hypotenuse in a triangle cannot be less than one side.

this is why choice A must be correct

MellieFeb 15, 2018

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We know that 23pi/2 is in between 270°(3pi/2) and 360°(2pi).

So, it's reference angle is 24pi/12 - 23pi/2 (because 2pi/1 is equal to 24pi/12).

The reference angle will be pi/12.

We know that sin+cos is equal to 90. and 90° in radians is pi/2. So, (pi/2) - (pi/12) will give you the value of theta, which is 5pi/12

MellieFeb 15, 2018

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Oh thanks! I'm pretty sure the angles are half the arc measure. So, A would be 60, B would be 80, and C is 40 :)

MellieApr 27, 2017

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Thank you geno!! <3

MellieApr 27, 2017

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HI!!! I haven't been here in a while. It's good to see you too! Thank you so much for all your help!

MellieApr 20, 2017