Mathematics
15.03.2023 21:52
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Weight of a mouse in Neptune

Weight of a mouse in Neptune
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abolton04
abolton04
4,4(2 marks)

Depends on what the mouse ways on earth

Step-by-step explanation:

Chuck E Cheese?

laylay120
laylay120
4,4(83 marks)

It really depends on the mouse so i will give a couple of mouses. By (average)

Step-by-step explanation:

House mouse: 0.68 oz  /Weight On Neptune: 0.77

Deer Mouse: 0.72 oz /Weight On Neptune: 0.82

African pygmy mouse: 0.42 oz /Weight On Neptune: 0.48

Wood mouse: 0.83 oz /Weight On Neptune: 0.94

Pachyuromys duprasi: 1.4 oz /Weight On Neptune: 1.59

Eurasian harvest mouse: 0.25 oz /Weight On Neptune: 0.28

White-footed mouse: 0.79 oz /Weight On Neptune: 0.90

Striped field mouse: 0.75 oz /Weight On Neptune: 0.85

the equation to find the weight of objects on neptune is

Weight On Neptune=\frac{Weight On Earth}{9.81m/sx^{2} }x 11.15m/s^{2}

jamarstand
jamarstand
4,7(97 marks)

This question is based on the standard deviation. Therefore, the answers are: (a)  0.975, (b) 0.16  and (c) 0.475.

It is given that assume the resting heart rates for a sample of individuals are normally distributed with a mean of 75 and a standard deviation of 5. Use the 68-95-99.7 rule to find the following quantities.

We know that,

The Empirical Rule states that, for a normally distributed random variable are as follows:

68% of the measures are within single standard deviation of the mean.

95% of the measures are within two standard deviation of the mean.

99.7% of the measures are within three standard deviations of the mean.

In this problem,  

Mean = 75

Standard deviation = 5

Now, the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above.

a. The relative frequency of rates less than 85 using the 68-95-99.7 rule is

85 is the two standard deviations above the mean.  So, all the 50% below the mean is below 85.

And of the 50% above the mean, 95% is less than 85.  

So, 0.5 + 0.95*0.5 = 0.975

b. The relative frequency of rates greater than 80 using the 68-95-99.7 rule is

80 is one standard deviations above the mean of the 50% above the mean, 68% is less than 80. So, 100-68 = 32% is more than 80.

0.32 \times 0.5 = 0.16.

c. The relative frequency of rates between 65 and 75 using the 68-95-99.7 rule is

The mean and two standard deviations below the mean.

So, 95% of 50%

0.95 \times 0.5 = 0.475

Therefore, the answers are: (a)  0.975, (b) 0.16  and (c) 0.475.

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