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 by:
Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL
a) For x < 210:
From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001
b) For x > 205:
For x < 215:
P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009
c) For x < 200:
From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001
d) For x > 222:
From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999
66 students can be expected to prefer the zoo.
Answer:
b = -9
Step-by-step explanation:
Axis of symmetry of a parabola = -b / 2a.
Where y = ax² + bx + c.
Given f(x) = <u>3</u>x^2 + <u>b</u>x + <u>4</u>,
a = 3, and c = 4.
If the axis of symmetry is 3/2, than b can be found by substitution and algebra.
[ x = -b / 2a ] → [ 3 / 2 = -b / 2a ] →
[ 3 / 2 = -b / 2 (3) ] → [ 3 / 2 = -b / 6 ] →
[ 3 / 2 × 6 = -b / 6 × 6 ] → [ 18 / 2 = -b ] →
[ 9 = -b ] → [ -b = 9 ] → [ (-)(-b) = (-)(9) ] →
b = -9
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