Janet researcher compares the math placement scores of college applicants who have, or have not taken a special college preparat
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Answer:
And we can find this probability with the normal standard distirbution or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the normal standard distirbution or excel and we got:
Answer:
Yes
Step-by-step explanation:
First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.
Set up an equation using the Pythagorean theorem:
Solve for C:
169 + 1225 = C^2
1394 = C^2
C ≈ 37.34
Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.
Again, set up an equation using the Pythagorean theorem, and solve for the new C:
1563.2756 = C^2
C = 39.54
The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.
Have a nice day! :)