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Lena [83]
3 years ago
8

Veterinarian needs to know an animal's weight in kilograms is 20 pounds is about 9 kilograms and a dog weighs 30 pounds use a ra

tio table to find the dog was waiting kilograms explain your reasoning
Mathematics
1 answer:
givi [52]3 years ago
8 0
Pounds: 10  20  30
Kilos:      4.5   9  13.5

half of 20 is 10, and half of 9 is 4.5.  So every 10 pounds is 4.5 kilos.  Add 10 to 20 to get 30, and add 4.5 to 9 to get 13.5.  Both parts of the ratio table are increasing at the same rate (either 10 eachtime or 4.5 each time).  
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An airliner carries 350 passengers and has doors with ah height of 72 in. Heights of men are normally distributed with a mean of
BaLLatris [955]

Answer:

P ( Z < 72 ) = 0.8577     or   P ( Z < 72 ) = 85.77 %

Step-by-step explanation:

We know:

-A normal distribution

-Mean      μ =   69.0   in

-Standard deviation      σ  = 2.8   in

- Population    n  =  350

And doors height   72 in

If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to

Z  =  ( X - μ ) / σ     ⇒             Z  =  ( 72 - 69 ) / 2.8

Z  = 1.07

Now with this value we look the Z tables, to find a value of: 0.8577

So the probability of select a men and that he can fit through the door is

P ( Z < 72 ) = 0.8577  or    P ( Z < 72 ) =  85.77 %

3 0
4 years ago
Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a de
dmitriy555 [2]

Answer:

The expected value for the random variable is 14.16.

Step-by-step explanation:

We are given the following data below;

          Z                               P(Z)                        Z \times P(Z)

          9                               0.16                           1.44

         12                              0.25                             3

         15                              0.36                           5.4

         18                               0.17                           3.06

         21                          <u>    0.06    </u>                 <u>      1.26      </u>  

       Total                       <u>       1        </u>                <u>      14.16      </u>  

Now, the expected value for the random variable Z is given by;

          E(Z) = \sum Z \times P(Z)

                  = (9 \times 0.16) + (12 \times 0.25) +......+(21 \times 0.06)

                  = 14.16.

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Step-by-step explanation:

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