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Sophie [7]
3 years ago
8

According to a survey on us population, the probability that a man will live seventy-five years is 0.62 and that he will live up

to eighty-five years is 0.023. if mr. clooney is seventy-five years old, what is the probability he will survive to eighty-five years? express the probability as a percentage. include in your final answer the calculations necessary to arrive at the probability.
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
The answer is 3.71%

Given: .62 probability of reaching 75 years old and 0.023 probability of reaching 85 years old
   Since Mr. Clooney already reached 75 years old, we'll divide the probability of reaching 85 by the probability of reaching 75.
   <span>.023 / .62 = .0370967742 x 100 = 3.71%

Why? </span><span>Assume there are 1000 men who were born at the same time.
0.62 * 1000 = 620 of them will make it to 75.
0.023 * 1000 = 23 of them will make it to 85.
The proportion of those who will make it to 85 assuming that they already made it to 75 will be 23 / 620 = 0.0370967742 (same as above)</span>
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Find the coordinates of the midpoint of the segment given its endpoints P(-3,-7) and Q(3,-5)
stellarik [79]

Answer:

Midpoint....; (0,-6)

Step-by-step explanation:

Midpoint of the segment

= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]

Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]

Midpoint = ( 0/2 , -12/2 )

Midpoint = (0,-6)

8 0
3 years ago
A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b
LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is 90.3^{\circ}F

1 hr later temperature 89^{\circ}F

Temperature of room T=68^{\circ}F

According to newtons law

\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )

\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )

\frac{dT}{T-68}=-kdt

Integrating

=\int \frac{dT}{T-68}=-kdt

\ln |T-68|=-kt+c

T-68=Ae^{-kt}

Now at 9 am i.e. t=0,

90.3=A+68

A=22.3

At 10 am i.e. t=1 hr T=89

89-68=22.3e^{-k}

e^{-k}=21

k=0.06006

Temperature of Normal human body is T=98.6 ^{\circ}F

98.6-68=e^{-0.06006t}

30.6=e^{-0.06006t}

Taking log both sides

t=-5.27

i.e. 5 hr and  16.2 min

i.e. victim murdered at 3 am and 43.8 min

7 0
3 years ago
Your friend has given you a map that he drew of your neighborhood for a class project. Before he turns it in, he asks you to che
balandron [24]

Answer:

Step-by-step explanation:

A accurate map should be to scale. Scaled distances between features should agree with actual distances. The shapes of objects (eg houses) should be the same as in real life. All road names names and house numbers etc should be displayed.  

However, to create such a map would need considerable expertise. It would be unreasonable to expect someone to produce it for a class project.  

It would be useful if it was roughly to scale with houses shown in approximate positions and shapes. Names and numbers are essential. It would be useful to show North.

7 0
3 years ago
You have a box that is a good size for your tape collection. two rows of tapes will fit in the box. the box is 10 inches wide. e
jeyben [28]

Solution:

Two rows of tapes will fit in the box.

Box wide = 10 inches

Each tape wide = 5/8 inches

10/ (5/8) = (10 * 8)/5

= 16

There are two in each row. So, 32 tapes will fit in the box.


3 0
3 years ago
Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to John: infection occurs in 4
Kryger [21]

Answer:

The probability of not having an infection and the surgery being a success is 0.8478.

Step-by-step explanation:

Hello!

There are several possible outcomes facing surgery to repair a torn tendon:

"Infection" ⇒ P(In)= 0.04

"Repair fail" ⇒ P(F)= 0.12

"both infection and failure" ⇒ P(In∩F)= 0.0078

P(NIn∩S)=?

Where NIn represents "no infection" and S represents "successful surgery"

The event "no infection" is complementary to the event "infection" and so is it's probability P(NIn)= 1 - P(In)= 1 - 0.04= 0.96

The event "successful surgery" is complementary to the event "Repair fail" and so is it's probability: P(S)= 1 - P(F)= 1 - 0.12= 0.88

                         "Repair fail"      ;  "successful surgery";  Total

"Infection"       :   P(In∩F)           ;         P(In∩S)               ;     P(In)

"no infection" :  P(NIn∩F)         ;         P(NIn∩S)            ;     P(NIn)

                                P(F)            ;                P(S)              ;         1

P(F)   = P(In∩F) + P(NIn∩F)  

P(NIn∩F)  =   P(F)  - P(In∩F) = 0.12 - 0.0078= 0.1122

P(NIn∩S)= P(NIn) - P(NIn∩F) = 0.96-0.1122= 0.8478

The probability of not having an infection and the surgery being a success is 0.8478.

I hope it helps!

7 0
3 years ago
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