miss watson runs a distance of 200m in 25 seconds work out the average speed of miss watson in metres per second

The cost of health insurance is $900 per month. The cost of an operation for a dramatic injury is $500,000. The chances of someo

lord [1]

Answer:

Yes, It is better to buy the insurance.

Step-by-step explanation:

Given Data:

Cost of Health Insurance for a month = 900$ per month

As 20 Years = 20*12 months = 240 months

Cost of Health Insurance for 20 years = 900 * 240

Cost of Health Insurance for 20 years = 216,000$

Insurance claim in case of having dramatic injury = Cost of Dramatic Injury = 500,000$

Insurance claim in case of having no dramatic injury = 0$

Chances of dramatic injury in 20 years = P(A) = 47.3%

Chances of not having dramatic injury in 20 years = P(B) = 100% - 47.3%

Chances of not having dramatic injury in 20 years = P(B) = 52.7%

Expected Insurance Claim for 20 years:

Expected Insurance Claim for 20 years = (Chances of having dramatic injury in 20 years * Insurance claim) + (Chances of not having dramatic injury * Insurance claim)

Expected Insurance Claim for 20 years = P(A) * 500,000$ + P(B) * 0$

Expected Insurance Claim for 20 years = 47.3% * 500,000 + 52.7% * 0

Expected Insurance Claim for 20 years = 236500 + 0

Expected Insurance Claim for 20 years = 236,500$

Expected Profit:

As expected insurance claim is 236,500$ is more than the cost of health insurance for 20 years and we are expected to have profit of 20,500$, thus we should take the health insurance.

3 0

2 years ago

If one measurement of a golden rectangle is 5.7 inches, what is the other measurement?

irina1246 [14]

It is impossible to solve

5 0

3 years ago

Read 2 more answers

2. Evaluate f(x) = 3x+5/x-1<br> at x = 3

pashok25 [27]

Answer

Let f(x) = ax + b

Then

f(x + 1) = a(x + 1) + b

= ax + a + b

Hence, a = 3, and a + b = 5, b = 2

f(-2) = 3(-2) + 2

= -6 + 2

= - 4

f(2x) = 3(2x ) + 2

= 6x + 2

6 0

3 years ago

Answer two questions about systems A and B

Lunna [17]

Step-by-step explanation:

I dont see any questions

Can you send a picture to see if I can help

7 0

3 years ago

Read 2 more answers

Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi

Liono4ka [1.6K]

Answer:

a) $f (x,y,z)= xy^2\sin(z)$

b) $\int_C F \cdot dr =0$

Step-by-step explanation:

Recall that given a function f(x,y,z) then $\nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})$ . To find f, we will assume it exists and then we will find its form by integration.

First assume that F = $\nabla f$ . This implies that

$\frac{\partial f}{\partial x} = y^2\sin(z)$ if we integrate with respect to x we get that

$f(x,y,z) = xy^2\sin(z) + g(y,z)$ for some function g(y,z). If we take the derivative of this equation with respect to y, we get

$\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}$

This must be equal to the second component of F. Then

$2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)$

This implies that $\frac{\partial g}{\partial y}=0$ , which means that g depends on z only. So $f(x,y,z) = xy^2\sin(z) + g(z)$

Taking the derivative with respect to z and making it equal to the third component of F, we get

$xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)$

which implies that $\frac{dg}{dz}=0$ which means that g(z) = K, where K is a constant. So

$f (x,y,z)= xy^2\sin(z)$

b) To evaluate $\int_C F \cdot dr$ we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

$\int_C F \cdot dr = f(r(\pi))-f(r(0))$

Recall that $r(\pi) = (\pi^2, 0, \pi)$ so $f(r(\pi)) = \pi^2\cdot 0 \cdot \sin(\pi) = 0$

Also $r(0) = (0, 0, 0)$ so $f(r(0)) = 0^2\cdot 0 \cdot \sin(0) = 0$

So $\int_C F \cdot dr =0$

5 0

3 years ago