Answer:
We have 96% of confidence that the true proportion of people who responded that they have a plan to buy one electric car is between (0.121 and 0.303).
Step-by-step explanation:
For this case the estimated proportion of people who responded that they have a plan to buy one electric car is given by:

Where X represent the number of people who responded that they have a plan to buy one and n represent the sample size selected
We know that the confidence level for this case is 96% of confidence, then our significance level would be
and
. And the critical value would be:
The confidence interval for the true proportion is given by this expression:
Replacing the data given we got:
We have 96% of confidence that the true proportion of people who responded that they have a plan to buy one electric car is between (0.121 and 0.303).
A^2 + b^2 = c^2
( use Pythagorean theorem)
8^2+17^2=c^2
Answer: 480
Step-by-step explanation:
you take 240 and add it to itself and that is how you get you correct answer
Answer:
For the first question, the answer is 216 and the equation would become just 6^3
For the second, the answer is 9.
Step-by-step explanation:
When there is a negative exponent, that monomial is brought up to the top of the fraction, (the numerator) so 1/6^-3 becomes 1(6^3)/1, or simplified, just 6^3 since divided by one is the same number and times one is the same number. 6 x 6 x 6 is 216.
When there is a negative exponent outside the equation in a <u>fraction,</u> you need to take the reciprocal of the fraction. Since it's squared, it will always be positive, so we can ignore the negative sign. 3/1 (or just 3) to the power of 2 is 9. (3 x 3 is 9).
When explained throughly this might be found confusing, but it's a very easy concept to get after a while.
Answer:


Step-by-step explanation:
Given



See attachment for illustration
Solving (a): Trigonometry ratio to calculate h.
From the attachment, we have:

Multiply both sides by d


Rewrite as:

Solving (b): The value of h
We have:


So:


