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3 years ago

Question 5

1 answer:

5 0

The answer choice 12,357 is correct. Since the numbers are ascending from lowest to greatest, the number couldn’t possibly be any smaller then this certain answer choice. So the correct answer to this question is 12,357.

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A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. C

Sladkaya [172]

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total beneﬁt paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

6 0

3 years ago

Find a slope of the line that passes through (7,-4) and (81,92)

Leokris [45]

Answer:

48/37

Step-by-step explanation:

Use the formula (y1 - y2)/(x1 - x2).

Plug in your x and y values to get (92 + 4)/(81 - 7).

Simplify down to get 96/74 and simplify again to get 48/37.

5 0

3 years ago

Which of the following changes in the price index produces the greatest rate of inflation: 106 to 112, 112 to 118, or 118 to 124

boyakko [2]

Answer:

Step-by-step explanation:

firstly you have to find the rate of change of the various price index in percentage.

A, From 106 to 112:

we find the difference 112-106 = 6

then the rate of change = 6/106 * 100 = 5.66%.

B ,From 112 to 118:

we find the difference 118-112 = 6

then the rate of change = 6/118 * 100 = 5.36%.

C ,From 118 to 124:

we find the difference 124-118 = 6

then the rate of change = 6/124 * 100 = 5.08%.

we can see that the price index with the greatest percentage is A.

3 0

3 years ago

Find the area. The figure is not drawn to scale.

VMariaS [17]

The figure on the top left is a triangle with base 11 and height 8, for an area of

$A_1=\dfrac{11\cdot 8}{2}=44$

Immediately below, we have a rectangle with dimensions 11 and 9, for an area of

$A_2=11\cdot 9=99$

Moving to the right, we have a parallelogram with base 9 and heght 11, which again has height

$A_3=11\cdot 9=99$

Finally, the rightmost figure is a triangle with base 8 and height 9, for a total of

$A_4=\dfrac{8\cdot 9}{4}=36$

Sum these areas and you'll get the total area

4 0

3 years ago

Use spherical coordinates. evaluate xyz dv e , where e lies between the spheres ρ = 4 and ρ = 6 and above the cone ϕ = π/3.

sergey [27]

Set

$x=\rho\cos\theta\sin\varphi$

$y=\rho\sin\theta\sin\varphi$

$z=\rho\cos\varphi$

so that the volume element is

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

The integral is then

$\displaystyle\iiint_Exyz\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi/3}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=4}^{\rho=6}\rho^5\cos\theta\sin\theta\sin^3\varphi\cos\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\rho$

$=\displaystyle\left(\int_0^{\pi/3}\sin^3\varphi\cos\varphi\,\mathrm d\varphi\right)\underbrace{\left(\int_0^{2\pi}\cos\theta\sin\theta\,\mathrm d\theta\right)}_0\left(\int_4^6\rho^5\,\mathrm d\rho\right)$

and so evaluates to 0.

3 0

3 years ago