The following table shows claim amounts and their probabilities for an insurance company that offers homeowners’ insurance polic
ies. Calculate the expected claim amount. That is, on average, how much will the insurance company have to pay in claims per policy holder?
$2250
$5000
$7500
$3250
$2250
$5000
$7500
$3250
1 answer:
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Answer:
The true statement is h < k ⇒ (3)
Step-by-step explanation:
∵ The equation of the graph is y = + k
∵ (-h, k) are the coordinates of its vertex point
∵ -h is the x-coordinate of the vertex point
∵ x-coordinate of the vertex point is -3
∴ -h = -3
→ Divide both sides by -1
∴ h = 3
∵ k is the y-coordinate of the vertex point
∵ y-coordinate of the vertex point is 4
∴ k = 4
∵ 3 < 4
→ That means h is smaller than k
∴ h < k
∴ The true statement is h < k
In this case, we must use trigonometry to find the value of x:
Thus the value of x rounded to the nearest tenth is <u>8.2</u>
<u></u>
Hope that helps!
Answer:
A rational expression that has the nonpermissible values and
is
.
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of , the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
(1)
Then, the factorized form of must be:
(2)
If we know that , then the rational expression is:
(3)
A rational expression that has the nonpermissible values and
is
.