So triangle PQR is scaled at 4*triangle ABC
So if AB = 16 then PQ = 16*4 which is 64 so the third option
Answer:
93.32% probability that a randomly selected score will be greater than 63.7.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that a randomly selected score will be greater than 63.7.
This is 1 subtracted by the pvalue of Z when X = 63.7. So
has a pvalue of 0.0668
1 - 0.0668 = 0.9332
93.32% probability that a randomly selected score will be greater than 63.7.
Answer:
729 ways
Step-by-step explanation:
Given
Number of questions = 6
Choices = 3
Required
Number of ways of answering the questions
For each of the 6 questions;
There are 3 possible ways of selecting an answer;
The possible ways for the 6 questions is:
<em>Hence, there are 729 ways of answering the question</em>
Answer:
<h2>Vertical stretch or compression and vertical shift.</h2>
Step-by-step explanation:
When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.
Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.
Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.
The image attached shows examples of this.
Answer:
x=3+√5 or x=3−√5
Step-by-step explanation: