Same strategy as before: transform <em>X</em> ∼ Normal(76.0, 12.5) to <em>Z</em> ∼ Normal(0, 1) via
<em>Z</em> = (<em>X</em> - <em>µ</em>) / <em>σ</em> ↔ <em>X</em> = <em>µ</em> + <em>σ</em> <em>Z</em>
where <em>µ</em> is the mean and <em>σ</em> is the standard deviation of <em>X</em>.
P(<em>X</em> < 79) = P((<em>X</em> - 76.0) / 12.5 < (79 - 76.0) / 12.5)
… = P(<em>Z</em> < 0.24)
… ≈ 0.5948
Answer:
A D and E
Step-by-step explanation:
Answer:
all real numbers
Step-by-step explanation:
simplify each side of the inequality
26 + 6b -- already fully simplified
2(3b + 4) → 6b + 8
26 + 6b ≥ 6b + 8
subtract 6b from both sides
26 ≥ 8
since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8
Keeping in mind that x = rcos(θ) and y = rsin(θ).
we know the magnitude "r" of U and V, as well as their angle θ, so let's get them in standard position form.
