All Questions ⁺⁰230591 Questions

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83

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Algebra

If I give my brother 5 dollars, then we will have the same amount of money. If instead he gives me 24 dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

Guest Mar 11, 2023

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74

1

Probability and Statistics

A high school baseball player has a 0.181 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 5 hits in the game?

Guest Mar 11, 2023

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77

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Counting

Need help plz

At my office, 16 people own cats, people own dogs, and people own both cats and dogs. How many people own a cat or a dog?
read more ..

Guest Mar 11, 2023

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70

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counting

In how many ways can three points be selected from the grid below so that they form a right isosceles triangle?

Guest Mar 11, 2023

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66

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geometry

I need help plz

Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

Guest Mar 11, 2023

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98

1

Expected value

I need help with these

Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 5 on them.
(a) What is the expected value of the number shown when we draw a single slip of paper?
(b) read more ..

Guest Mar 11, 2023

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76

0

Counting

Sam writes down the numbers 1, 2, 3, ..., 99

(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down, at random. What is the probability that Sam chooses a 0? read more ..

Guest Mar 11, 2023

Mar 10, 2023

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73

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Coordinates

Points A, B, and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P,
PA^2 + PB^2 + PC^2 = 3PQ^2 + k
If A = , B = , and C = , then find the constant k.

Guest Mar 10, 2023

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74

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Inequality

Plz help prove this inequality

(a) Show that if a, b, c, d, e, f are nonnegative real numbers, then (a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) >= 32abcdef.
(b) Show that if a, b, c, d, e, f are nonnegative real read more ..

Guest Mar 10, 2023

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72

0

Stats

A list of ten distinct, positive integers has a median of 5.5. What is the smallest possible average of the ten positive integers? Explain your ansswer in complete sentences.

Guest Mar 10, 2023

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90

4

+185

geometry

Semicircles of diameter 2 inches are lined up as shown. What is the area, in square inches, of the shaded region in a 1-foot length of this pattern? Express your answer in terms of pi.

am i just dumb or isn't this just simply read more ..

idontknowhowtodivide Mar 10, 2023

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89

2

Probability

Two points on a circle of radius 1 are chosen at random. Find the probability that the distance between the two points is at most 1.5.

Guest Mar 10, 2023

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80

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Geometry

In triangle ABC, the angle bisector of angle BAC meets AC at D. If angle BAC = 60, angle ABC = 60, and AD = 24, then find the area of triangle ABC.

Guest Mar 10, 2023

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84

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precalc

In triangle PQT, R is on side PT such that QR = QP. Also, QS is an altitude, and QT = 10. The values of tan RTQ, tan QST, tan SQT form an arithmetic progression, and the values of cot SQT, cot RQT, cot SQR form a geometic progression. read more ..

Guest Mar 10, 2023

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72

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geometry

In tetrahedron ABCO, angle AOB = angle AOC = angle BOC = 90^\circ. A cube is inscribed in the tetrahedron so that one of its vertices is at O, and the opposite vertex lies on face ABC. Let OA = 1, OB = 1, OC = 1. Show that the read more ..

Guest Mar 10, 2023

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64

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geometry

Plz help with geometry problem

In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the problem. read more ..

Guest Mar 10, 2023

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66

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Counting

I have to count these for class

There are 18 padded chairs around a circular table, and the chairs are numbered from 1 through 18 . How many ways can five people take their seats, so that no two people are adjacent? read more ..

Guest Mar 10, 2023

0

102

4

+132

Could someone please help?

If I have $e^{17πi/60}+e^{57πi/60}$, how can I simplify that? I know $e^{i\theta}= \cos(\theta) + i \sin(\theta)$ and can add the two, and I know it leads to $cis(\frac{37π}{60})$, but I just don't know how to get there. Please help

Saphia1123 Mar 10, 2023

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81

1

Math

An art collector ,who owns 10 original paintings, is preparing a will. In how many ways may the collector leave these paintings to three heirs?

Guest Mar 10, 2023

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78

0

Inequality

Let a, b, and c be nonnegative real numbers. Prove that for all x >= 0,
(x + abc)^3 >= abc(x + a)(x + b)(x + c) >= (x + a + b + c)^3.

Guest Mar 10, 2023

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74

0

-4(2p + 5) + 8p = -11

-4(2p + 5) + 8p = -11

Guest Mar 10, 2023

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89

1

Inequality

Prove that if a, b, and c are positive real numbers, then
sqrt(a^2 + ab + b^2) + sqrt(a^2 + ac + c^2) + sqrt(b^2 + bc + c^2) >= sqrt(3) (sqrt(ab) + sqrt(ac) + sqrt(bc))
When does equality occur?

Guest Mar 10, 2023

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86

1

math question on my test

Jennifer has enough red velvet cake mix to make 18 cookies, and she has enough chocolate fudge cookie mix to make ___ cookies. She has 2 eggs and 4 cups of flour.

(a) how many chocolate fudge cookies can you make? read more ..

Guest Mar 10, 2023

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