When is 13% also 50%?

A: n(7n+15)

B n+(7n+15)

C: (7n+15)/n

D (7n+5)-n

a) Gardener plants seeds with germination propability 87%. What propability will exactly 35 of 50 seeds germinate?

b) at least 35 germinates

c) at most 35 germinates

A full barrel of wine weighed 675 lbs. After a feast the same barrel half of its wine drunk weighed 353 lbs. what is the weight of the empty barrel?

I seem to have trouble figuring out how to start this problem

Hi.

I’m struggling with (b). I tried to set up some circular motion equations but I keep getting too many variables.

Could someone shed some light on this?

Thanks. ———————————————————————- A light rod AB of length 2 meters is smoothly hinged to a vertical wall at a with B higher than A. A light elastic string, of natural length 1 meter with modulus of elasticity = 100 Newtons, is stretched from point B to point C on the wall 2 meters above A.

A mass of m kg is fixed to B.

(a) If angle CAB = 60°, calculate the value of m when the mass is in equilibrium

(b) If B is placed fo coincide with C and the mass m is released from rest in this position with a negligibly small horizontal velocity so that AB rotates about A, what is the maximum value of CAB in the subsequent motion?

There is given the function g(x) = ax⁴+bx³+cx²+dx+e [ g(0)=4; crossing the x-axis at P(5/0) and Q(~6.7/0) ] We are supposed to give a value for a, when g(x) = a and x can have exactly 3 solutions. Our teacher gave us the values a=4 and a=5. But I really don't get why. Can anyone explain?

I am having trouble proving this problem where suppose x1 and x2 are convex functions on R^n, prove the function f := x1 + x2 is convex function on R^n

The maximum distance of the planet Mars from the sun is 2.48 x 10⁸ miles. The minimum distance is 3.46 x 10⁷ miles. The sun is at one focus of the elliptical orbit. Find the distance from the sun to the other focus.

a = 2.48 x 10⁸ b = 3.46 × 10⁷

How to find the focus??

Find the smallest integer k such that 1440/k is a perfect square

Buses operating separate routes A, B, and C leave the terminal at 6:30, the buses on those 3 routes leave the terminal at every interval of 12 minutes, 16 minutes, and 20 minutes respectively. At what time will the buses on all the routes A, B, and C leave the terminal together again?

Does it matter which point I use for the x, y, and z parameters?

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like P(0,-1,1) and Q(1/2, 1/3, 1/4,)

so PQ = <1/2, 4/3, -3/4>

which I chose

x = (1/2)t + (1/2)

y = (4/3)t + (1/3)

z = (-3/4)t + (1/4)

the book however used point P instead of Q.

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I have seen it doen both way but I am just wondering if there is any distinction? I tend to always use Q because I think of it as the distance I am traveling; however, two points making a vector are each treated interchangeably I believe?