Answer: 0.80
<u>Step-by-step explanation:</u>
P (2 ≤ x ≤ 4) is: P(X = 2) + P(X = 3) + P(X = 4)
= 0.36 + 0.12 + 0.32
= 0.48 + 0.32
= 0.80
It can also be calculated as: 1 - P(X = 1)
= 1 - 0.20
= 0.80
Answer:
(-5, -8)
Step-by-step explanation:
Answer:
third choice : Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
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Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
Use this theorem: in a circle, the measure of an angle formed by two chords that intersect inside the circle is half the sum of the arcs formed by the chords.
In this case the sum of the arcs formed by the chords is 67° + 74° = 141 °, then the half is 141° / 2 = 70.5°.
Answer: 70.5°
