It’s quicker, easier, and most likely more accurate. But you do learn better doing it by hand but sometimes it can be too much.
9514 1404 393
Answer:
domain: (-4, 9)
Step-by-step explanation:
The graph is defined for all points between -4 and 9, but not for those two points. In interval notation, the domain is (-4, 9).
Using the normal distribution, it is found that 495 readings fall within 5.15cm of the mean value.
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- Mean of 5m, hence
. - Standard deviation of 2 cm, hence

To find the proportion of readings that fall within 5.15cm of the mean value, first we need to find the following z-score:


The proportion is P(|z| < 2.575), which is the p-value of z = 2.575 subtracted by the p-value of z = -2.575.
Looking at the z-table, z = -2.575 has a p-value of 0.005, and z = 2.575 has a p-value of 0.995.
0.995 - 0.05 = 0.99
Out of 500 measurements:
(0.99)500 = 495
495 readings fall within 5.15cm of the mean value.
A similar problem is given at brainly.com/question/24663213
Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.


Substitute the given values.





The value of x is 4.

Hence, the measure of QN is 19 units.