Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019
Given the volume of Wesley's cube = 8 cubic centimeters.
We know the formula for volume of cube is given as follows :-
Volume of cube = (side) x (side) x (side)
8 = (side)³
side = ![\sqrt[3]{8} =\sqrt[3]{2*2*2} =2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D%20%3D%5Csqrt%5B3%5D%7B2%2A2%2A2%7D%20%3D2)
Hence, Wesley's cube dimensions are 2 centimeters.
The square must have side length as 2 centimeters.
If smallest square G represents 1 centimeters, then clearly it is H = 2 centimeters.
So, square H is the final answer.
A number that would be rounded to 700 would be 695. if i'm wanting to round to the nearest hundred then i would look at the number behind the number i'm rounding so i would look at 9. 9 is 5 or more so we round up to 700.
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Answer:
n=10
Step-by-step explanation:
2^(n+2)=2^12
n+2=12
n=10
The answer is n^2. hope this helped :)
