For the standard normal distribution Z, the mean μ =0
and σ the standard deviation = 1
a) P(0 ≤ Z ≤ 1.5) →P(Z=1.5) - P(Z=0)
P(0 ≤ Z ≤ 1.5)= 0.9332 - 0.5 = 0.4322
b) P(Z ≥ 2.5) →P(Z=2.5) = 1- P(Z=2.5)
P(Z ≥ 2.5) = 1- 0.9938 = 0.0062
c) P(Z≥ 3.5) = 1- P(Z = 3.5) = 0
OR P(Z≤ 3.5) = 0
Answer:
20 + 25 =45
9(2+3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The distance formula is given by:
We are given the two points (4, -1) and (a, 5). The distance between them is 10.
Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:
Solve for <em>a</em>. Square both sides and simplify:
Simplify:
Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:
Solve for <em>a:</em>
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So, our two possible points are (12, 5) or (-4, 5).
Use the formula A^2 + B^2 = C^2
Answer:
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