Since the problem states "at least" we need to also find probability of 3 H or 4 H or 5 H
Now find the probability of flipping a head 4 times;
⁴
= (1/16)
Now probability of flipping a head 3 times: (4C3)(1/2)⁴ = 4/16
Probability of flipping a head 2 times; (4C2)(1/2)⁴=6/16
(1/16)+(4/16)+(6/16)=11/16
Probability of flipping a fair coin 4 times with at least 2 heads is 11/16.
Hope I helped :)
Answer:
B
Step-by-step explanation:
We are given that the position of a particle is modeled by the function:
And we want to find the times for which the <em>speed</em> of our particle is <em>increasing. </em>
In other words, we want to find the times for which our <em>acceleration</em> is positive (a(t)>0).
So first, we will find our acceleration function. We can differentiate twice.
By taking the derivative of both sides with respect to <em>t</em>, we acquire:
Differentiate:
This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:
Differentiate:
If our speed is increasing, our acceleration must be positive. So:
By substitution:
Now, we can solve for <em>t:</em>
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<em />
Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.
So, our answer is B.
Answer:
3x^2-20x-7 in^2.
Step-by-step explanation:
The area of the frame = total area - area of the painting.
This is (2x-3)^2-(x+4)^2
= 4x^2-12x+9-(x^2+8x+16)
= 4x^2-12x+9-x^2-8x-16
= 3x^2-20x-7 in^2.
Im not sure what slope means but if it means gradient then the gradient is 3x.
1. cos (angle) = adjacent leg / hypotenuse
cos(50) = 10/X
x = 10/cos(50)
x = 15.6 feet
2.
tan(angle) = Opposite leg / adjacent leg
tan(5.5) = 600/x
x = 600/tan(5.5)
x = 6,231.2 feet.