Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the <u>standard deviation for the population</u>, which is why the z-distribution is used to solve this question.
- The sample mean is .
- The population standard deviation is .
- The sample size is .
The interval is given by:
We have to find the critical value, which is z with a p-value of , in which is the confidence level.
In this problem, , thus, z with a p-value of , which means that it is z = 1.96.
Then:
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at brainly.com/question/22596713
Integrals calculate the area underneath the curve. So, look at the graph, note where the function is on the graph and how many units on the X-axis the function is wide and how many units on the Y-axis the function is tall. The x-axis is usually where you would set the boundaries of the function. The integrand (the thing that we integrate) is the the function typically, and it’s in respect to something else, dx
, dy or dt to name a few. The thing we integrating with respect to, is dependent upon the graph.
Here’s an example: (Picture at the bottom)
If I take my bounds from 0 to 2 on the X-axis, that would give me an area underneath the curve that is exactly like a triangle. You can solve it with half base times height if you wanted.
If I were to take my bounds to be 2 to 6 on the X-axis then that’s an area in the shape of a trapezoid. Remember that you’re integrating the function so that means that your integrand will be the function.
So, for the first one it would be the integral sign, 2 on the top, 0 on the bottom, the integrand would be f(x), and it’s in respect to dt.
For the second one it would be exactly the same except your bounds would just be from 2 to 6
(2 on the bottom 6 on top).
I hope that helps.
Answer:
I think 3
Step-by-step explanation:
i think 3
for real this time
Answer:
Esmerelda did not use the reciprocal of the divisor.
Step-by-step explanation:
A complex fraction is another way to show division of two fractions. In this case, we are dividing -5 1/4 by 3/2.
We first convert -5 1/4 to an improper fraction. To do this, multiply the whole number by the denominator; this gives us -5(4) = -20. Then add the -1 (negative since the fraction is negative); this gives us -21/4.
This means we are dividing -21/4 by 3/2.
To divide fractions, we multiply by the reciprocal; this means we flip the second fraction and multiply. We would then multiply -21/4 by 2/3. This is the step Esmerelda did not do.
C. Translation 9 units to the left, and 2 units up is your answer. Let me know if you have any other questions.