We are asked to d<span>etermine the area under the standard normal curve that lies to the left of the following z score of 1.57. in this case, we can use the rules of integration as this is related to area under the curve:
</span><span>1/2+1/π * integral of (</span><span> e</span><span>−z^2 </span><span>d</span>z0 from 0 to x/2 where z=1.5
Answer is 0.8665
<span>
</span>
The missing length in the right triangle as given in the task content is; 156.
<h3>What is the missing length indicated?</h3>
It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;
x² = 144² + 60²
x² = 20736 + 3600
x² = 24,336
x = √24336
x = 156.
Remarks: The complete question involves a right triangle and the missing length is the longest side.
Read more on Pythagoras theorem;
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Answer:
Step-by-step explanation:
Negative 20 plus 20 equals 0
Answer:
b. the area to the right of 2
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, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.
In this problem:




Percentage who did better:
P(Z > 2), which is the area to the right of 2.
Answer:
<em>Angle B=90 degrees</em>
<em> </em>
<em>BA^C= 40 degrees</em>
Step-by-step explanation:
<em>Angle B=</em><em>90 degrees (</em><em>right angle =90 degrees</em><em>)</em>
<em />
<em>90+50+BA^C=180</em>
<em>140+BA^C =180</em>
<em> BA^C=180-140</em>
<em> </em><em>BA^C= 40 degrees</em>
<em> </em>