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Triciamorrison
02.11.2020 •
Mathematics
A Snapshot in USA Today indicates that 51% of Americans say the average person is not very considerate of others when talking on a cellphone. Suppose that 100 Americans are randomly selected. Find the approximate probability that 52 or more Americans would indicate that the average person is not very considerate of others when talking on a cellphone. (Use the normal approximation. Round your answer to four decimal places.)
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Ответ:
The approximate probability is![P(X 0.52) = P(Z 0.2 ) = 0.42074](/tpl/images/0860/2036/5b623.png)
Step-by-step explanation:
From the question we are told that
The population proportion of Americans that say the average person is not considerate of others when talking on a cellphone is p = 0.51
The sample size is n = 100
Generally because the sample size is sufficiently large the mean of this sampling distribution is
Generally the standard deviation is mathematically represented as
=>![\sigma = \sqrt{ \frac{ 0.51 (1 - 0.51)}{100} }](/tpl/images/0860/2036/0127d.png)
=>![\sigma = 0.04999](/tpl/images/0860/2036/26cdb.png)
Generally the sample proportion is mathematically represented as
=>![\^ p = 0.52](/tpl/images/0860/2036/3ba97.png)
Generally the probability that 52 or more Americans would indicate that the average person is not very considerate of others when talking on a cellphone is mathematically represented as
=>![P(X 0.52) = P(Z 0.2 )](/tpl/images/0860/2036/74fde.png)
From the z table the area under the normal curve corresponding to 0.2 to the right is
Ответ:
The correct options are;
The equation of the function is 2·y = -25·x + 200
The equation of the function is y = -25/2·x + 100
The x-intercept of the function is (8, 0)
Step-by-step explanation:
From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)
Therefore, we have the slope, m given by the following relation
Where:
y₁ = 100
x₁ = 0
y₂ = 0
x₂ = 8
Which gives;
The equation in slope can be found as follows
y - 100 = -12.5×(x - 0)
y = -12.5·x + 100 = -25/2·x + 100
Multiplying by 2 gives;
2·y = -25·x + 200
25·x + 2·y = 200
Therefore, the correct options are;
The equation of the function is 2·y = -25·x + 200
The equation of the function is y = -25/2·x + 100
The x-intercept of the function is (8, 0).