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xxTIMURxx [149]
3 years ago
11

The weight of laboratory mice follows a normal distribution, with a mean of 0.68 ounce and a standard deviation of 0.02 ounce. W

hat percentage of the mice weigh between 0.62 ounce and 0.74 ounce?
A.99.7%
B.95%
C.68%
D.47.5%
E.34%
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

A.99.7%

Step-by-step explanation:

We are given;

  • Mean of a distribution, μ as 0.68 ounce
  • Standard deviation, σ as 0.02 ounce
  • The range values of X between 0.62 ounce and 0.74 ounce

We are required to calculate the percentage of the weight to be between 0.62 ounce and 0.74 ounce

Step 1: Calculate the Z-score

To get the Z-score we use the formula;

Z-score = (x-μ)/σ

Therefore, when x = 0.62

Then z score = (0.62 - 0.68 ) ÷ 0.02

                     = -3

When, x = 0.74

Then, Z score = (0.74 - 0.68) ÷ 0.02

                       = 3

Step 2:  we use the Z-score table or the empirical rule

Using the Z-score table;

P(-3 < z < 3) = 99.7%.

Therefore; the percentage of mice that weigh between 0.62 ounce and 0.74 ounce is 99.7%.

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dolphi86 [110]

Answer:

Please see explanation for the answer. The code is written in python and is as given below:

Step-by-step explanation:

The solution is obtained on the Python with the following code

import matplotlib.pyplot as plotter

import numpy as npy

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def sigmo(z):return 1/(1 + npy.exp(-z)) #Defining sigmoid function for the f(x).

plotter.plot(x_s, sigmo(x_s))

plotter.plot([-5,5],[.5,.5])

plotter.xlabel("z")

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plotter.show()

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zavuch27 [327]

Answer- <em>X=12</em>

Step-by-step explanation:

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Then we are going to do the opposite of dividing 7 from 9 which is multiplying  7 from 9. (on both sides)

It will leave us with - X + 9 = 21

Then we will do the opposite of adding 9 to X which is subtracting 9 from X. (also on both sides) ( whenever you do any adding or subtracting or multiplying or dividing on one side you have to do it on the other for the equation to be true)

Now it will leave us with X = 12

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Answer:

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Step-by-step explanation:

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There is a minimum (not a maximum) at x=0, so the multiplier is negative, eliminating choice D.

The correct equation is that of C: y = -cos(x) +2.

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Step-by-step explanation:

4.1/3/4+-x/4=7/12

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