In reflection, translation and rotations the pre image and the image are congruent and in dilation they are similar <span />
Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.
<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.
The area within 0.9 standard deviations of the mean is the <u>p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841)</u>, hence:
0.8159 - 0.1841 = 0.6318 = 63.18%.
More can be learned about the normal distribution at brainly.com/question/4079902
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<u>113.04 ft2</u>
Step-by-step explanation:
r=d/2=12/2=6
A= pi*r*r=3.14*6*6
A=113.04
Answer: There is change of $0.9 billion in government expenditures.
Step-by-step explanation:
Since we know that
Marginal propensity to consume tells that the rate at which there is change in consumption due to change in income.
According to our situation, MPC is the change in amount of gross domestic product due to change in government expenditure.
So, it becomes,

Hence, there is change of $0.9 billion in government expenditures.
These two problems are equivalent