The answer is attached here
Since it's a sample size, we use x, as the mean and s= standard deviation
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Given: x =27, s = 2 and total sample = 32.
Probability that a recruit is at least 31 years old?
Let's calculate the Z score :
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X - x 31 - 27
Z = ----------- → Z = -------- → Z = 2 (now look up in the Z score table,
s 2
Area (Z=2) =0.9772 , but Z ≥ 2 (at least) , then :
Area (Z≥2) = Area (Z≤ - 2) = 0.0228
P(≥31)= 0.0228
Answer:
There are 5 turning points at x = -3, -1.11, 0, 1.44 and 4.
Step-by-step explanation:
The product rule for 3 terms is
F' (x) = f'(x) g(x) h(x) + f(x) g'(x) h(x) + f(x) g(x) h'(x)
F(x) = x^2(x - 4)^7 (x + 3)^6
F' (x) = 2x(x-4)^7(x+3)^6 + x^2 7(x - 4)^6 (x + 3)^6 + x^2(x-4)^7 6(x+3)^5 = 0 at the turning points.
That is some equation!!
By observation, 3 roots are x = 0 , x = 4 and x = -3 so there are turning points at these values of x.
I'll use software to graph it to find any more real solutions - they are -1.11 and 1.44 to nearest hundredth.
Answer:
r = -9
Step-by-step explanation:
use the slope formula:
(2-0) / (r-3) = -1 /6
cross-multiply:
-1(r - 3) = 2(6)
-r + 3 = 12
-r = 9
r = -9
Answer: If you’re talking on a percentage basis, it would be extremely unlikely to get a majority of the questions correct.
Step-by-step explanation: