Answer:
A) the probability model for the insurance company's profit:
<u>x 100 -9,900 -2,900</u>
P(X = x) 0.9975 0.0005 0.002
There is a 0.05% chance that there will be a major injury and a 0.2% chance of a minor injury, the chance of no injury happening is 99.75%.
B) the company's expected profit = ($100 x 0.9975) + (-$9,900 x 0.0005) + (-$2,900 x 0.002) = $99.75 - $4.95 - $5.80 = $89
C) the standard deviation is the square root of the variance, and the variance =
σ² = ∑(x - μ)² P(x) = (11² x 0.9975) + (9989² x 0.0005) + (2989² x 0.002) = 121 + 49,890 + 17,868 = 67,879
standard deviation = √σ² = √67,879 = 260.54
Numbers with 3 divider are squares of primes<span>.</span>
<span>2^2 = 4. Div: 1, 2, 4;</span>
<span>3^3 = 9. Div: 1, 3, 9;</span>
<span>4^4 = 16. Div: 1, 4, 16;</span>
<span>5^5 = 25. Div: 1, 5, 25;</span>
<span>e.t.c.</span>
Answer:
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Step-by-step explanation:
Answer:
(2^3)^7
Step-by-step explanation:
Answer:
The measure of side AB is 6√3 cm.
Step-by-step explanation:
The question is:
In the right triangle shown, ∠A = 30° and BC = 6. What is AB?
Solution:
Consider the right-angled triangle ABC below.
In the triangle:
∠A = 30°
∠B = 90°
BC = 6 cm
According to the trigonometric identities for a right-angled triangle the tangent of an angle is the ratio of the length of perpendicular side to the length of the base.
That is for angle θ° the value of tan θ° is:
In the triangle ABC, the perpendicular side is side BC and the base is AB.
Compute the length of side AB as follows:
The value of tan 30° is,
The value of side AB is:
Thus, the measure of side AB is 6√3 cm.