Using the normal distribution, it is found that the mean is of and the standard deviation is of .
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, we have that the p-value of Z when X = 30 is of 0.1, hence, when X = 30, Z = -1.28, so:
The p-value of Z when X = 32.5 is of 0.2, hence when X = 32.5, Z = -0.84, hence:
Hence:
More can be learned about the normal distribution at brainly.com/question/27643290
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Answer:
The third answer
Step-by-step explanation:
Rate of change is slope which is 10 for the first one and you can use rise over run to find slope for the graph
Answer:
202.5cm^2
Step-by-step explanation:
P=2l+2w
63=2(9)+2w
63=18+2w
63-18=2w
45=2w
divide both sides by 2
22.5=w
check:
P=2(9)+2(22.5)
=18+45
=63
Area=l×w
=22.5×9
=202.5cm²
There are four main types of transformations: translation, rotation, reflection and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.