Step-by-step explanation:
i used elimination method
Alice make 2 bunches of balloons turre are the same Numbers of red balloons and the same Numbers of blue ballons in each did sir
1 answer:
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Answer:
We are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%
Step-by-step explanation:
We are given that in a group of randomly selected adults, 160 identified themselves as executives.
n = 160
Also we are given that 42 of executives preferred trucks.
So the proportion of executives who prefer trucks is given by
p = 42/160
p = 0.2625
We are asked to find the 95% confidence interval for the percent of executives who prefer trucks.
We can use normal distribution for this problem if the following conditions are satisfied.
n×p ≥ 10
160×0.2625 ≥ 10
42 ≥ 10 (satisfied)
n×(1 - p) ≥ 10
160×(1 - 0.2625) ≥ 10
118 ≥ 10 (satisfied)
The required confidence interval is given by
Where p is the proportion of executives who prefer trucks, n is the number of executives and z is the z-score corresponding to the confidence level of 95%.
Form the z-table, the z-score corresponding to the confidence level of 95% is 1.96
Therefore, we are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%
The question is an illustration of equivalent ratios and similar triangles.
<em>The true option is: </em><em />
From the diagram, we have:
---- This is so because both lines are marked once
Also, we have:
---- This is so because both lines are marked twice
Divide both equations
Hence, the true option is:
Read more about similar triangles at: