<h3>
Answer: Independent </h3>
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Reason:
The first marble was replaced, so the original state of the bag hasn't changed overall. The probability isn't changed either. We can treat the second selection entirely independent of the first one.
If the first marble wasn't replaced, then the marble count of course goes down by 1. That affects the probability of the second selection and we'd consider these events to be dependent.
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An example:
Consider a bag with 4 red marbles and 6 green ones. The chances of picking red on the first try are 4/10 = 2/5. The chances of picking red again would be 2/5 assuming we put that red marble back. We can see the second selection is independent of the first.
If the marble wasn't put back, then the chances of picking a 2nd red marble would be 3/9 = 1/3. I subtracted 1 from the numerator and denominator of 4/10 to get to 3/9. In this case, the 2nd selection's probability depends on the first event (whether red was picked or not).
The height of the ground from the base of the window is 144 inches.
<h3>How to find the side of a right angle triangle?</h3>
One angle of a right angle triangle is equals to 90 degrees.
Therefore, the sides and angles of the right triangle can be found using trigonometric ratios.
tan x = WY / XY
tan x = opposite / adjacent
tan x = 24 / 8
x = tan⁻¹ 3
x = tan⁻¹ 3
x = 71.5650511771
x = 71.60°
tan 71.60 = h / 48
cross multiply
h = 48 tan 71.60
h = 48 × 3
h = 144 inches
learn more on right triangle here: brainly.com/question/2547461
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answer
given
v=2100cm³
h=3r
v=1/3πr²h
soln
v=1/3πr²h
2100cm³=1/3×π×r²×3r( you will insert 3r in the place of h.)
2100cm³=3π/3×r³(cancel 3 by 3)
2100cm³= πr³
r³=2100cm³/3.14 ( π=3.14)
¾r³=¾2100cm³/3.14(I make them cube root.sorry I can't use the real cube root so I replace it by ¾)
r=8.74…
Answer:
Your answer should be 15.905625, if it's not 15 percent off per pound.
Step-by-step explanation:
Multiply 4.99 x 3.75 then multiply that answer (18.7125) by .15
That will leave you with 2.806875, which then you subtract that from 18.7125
That will give you your answer, 15.90...
Answer:
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
Step-by-step explanation:
the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is
av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4
thus
av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 - (-π/ 4)]
= 2*sin (π/2) /(π/2) = 4/π
then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are
4/π = 2 cos(2c)
2/π = cos(2c)
c = 1/2 cos⁻¹ (2/π) = 0.44
c= 0.44
since the cosine function is symmetrical with respect to the y axis then also c= -0.44 satisfy the equation
thus
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
