The top is a triangle with sides 7 and 5.4 Use the Pythagorean theorem to find the 3rd length.
3rd sides = sqt(7^2 + 5^2( = sqrt(49+25) = sqrt(74)
This side is the base of the lower rectangle.
The dotted line is the hypotenuse of a right triangle.
Use the Pythagorean theorem to solve.
sqrt(10^2 + sqrt(74)^2) = sqrt(174)
The dotted line = sqrt(174)
Answer:
Step-by-step explanation:
g=5
40.85, you can also type it into google
95 percent of 43 to get it
Answer:
0.0721
Step-by-step explanation:
A 95% confidence interval for the population proportion is calculated using the formula;
In this case p is the sample proportion, calculated as ;
number of successes/sample size. It is the equivalent of the probability of success in a binomial distribution. This implies that the sample proportion in this case will be; 97/184
The value 1.96 is the confidence coefficient associated with a 95% confidence interval for the population proportion since the sample proportions under the central limit theorem are assumed o be normally distributed.
n is simply the sample size, 184 college students.
Now, the expression
is what is termed as the margin of error for a 95% confidence interval of the population proportion. We simply substitute the values given into the expression and simplify it.