Answer
150x-2x=3
Step-by-step explanation:
(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
Answer:velocity=185 m/s
Step-by-step explanation:
So make k the subject of the formula by divide both by sqrt(x)
h= k × sqrt(x)
k=h/sqrt(x)
k=256 / sqrt(256)
k=256 / 16
k=16
So now substitute the value of k :
h= 16 × sqrt (x)
Then differentiate:
=(1/2 × sqrt(x))× 16
=16/(2×sqrt(x)
=8/sqrt(x)
Then
= 8/sqrt(x) × 370
=8/ sqrt(256) × 370
=8/16 × 370
velocity=185 m/s
Answer:
sin^2(θ)+cos^2(θ)=1
Step-by-step explanation:
We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.
To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ
Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.
Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.
The given condition is an arithmetic sequence with the first term (a1) is 1 penny and the common difference (d) is 1 penny. A year that is not a leap year has 365 days (n). The arithmetic series (S) is calculated through formula,
S = (n/2) (2a1 + (n - 1) x d)
Substituting the known values,
S = (365/2) (2 x 1 + (365 - 1) x 1)
S = 66795 pennies
A dollar is 100 pennies. Therefore, at the end of the year, the total savings is $667.95.
