Answer:
41.92%
Step-by-step explanation:
In table attached standard normal distribution curve is shown.
Data
mean, µ = 4.3 minutes
standard deviation, σ = 0.5 minutes
desired point, x = 5 minutes
x-axis, Z = (x - µ)/σ
The probability that calls last between 4.3 and 5.0 minutes is equivalent to find the area below the curve between Z = 0 and Z = (5 - 4.3)/0.5 = 1.4, which is 0.4192, or 41.92%
Answer:
Anna's number could be 5 and it could be 6.
Step-by-step explanation:
Let Anna's number be represented by x.
If Bill squared her number followed by subtracting 11 times her number, and adding 4, then he would get -26.
This implies that:
This is a quadratic equation and we can solve for x by factorization.
=> x = 5 and x = 6
Anna's number could be 5 and it could be 6.
Y = x² - 5x + 2
y = -6x + 4
-6x + 4 = x² - 5x + 2
0 = x² - 5x + 2 + 6x - 4
0 = x² + x - 2
(x + 2)(x - 1)
x = -2 ; x = 1
y = x² - 5x + 2 ; x = -2 y = x² - 5x + 2 ; x = 1
y = (-2)² - 5(-2) + 2 y = 1² - 5(1) + 2
y = 4 + 10 + 2 y = 1 - 5 + 2
y = 16 y = -2
y = -6x + 4 ; x = -2 y = -6x + 4 ; x = 1
y = -6(-2) + 4 y = -6(1) + 4
y = 12 + 4 y = -6 + 4
y = 16 y = -2
Choice C. <span>(-2, 16) and (1, -2) is the answer.</span>
