Write an equation of a line that passes through the point (-4, 5) and have a slope of 1/2
1 answer:
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Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
<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 mean and the standard deviation are given, respectively, by:
.
The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:
X = 790:
Z = 1.8
Z = 1.8 has a p-value of 0.9641.
X = 575:
Z = -2.5
Z = -2.5 has a p-value of 0.0062.
0.9641 - 0.0062 = 0.9579.
0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
Both triangles are scalene & Both triangles have an obtuse angle.
Step-by-step explanation:
<u>Key skills needed: Triangle recognition, Comparing Triangles</u>
1) We are given those 2 triangles, and we need to see if they are isosceles, scalene, obtuse, and acute.
2) To get this, let's define each thing:
Acute triangle - Means that all the angles in triangle are acute, which means they are less than 90 degrees in measure.
Obtuse triangle - Means that one angle in the triangle is obtuse, which means it is greater than 90 degrees in measure.
Scalene triangle - All the sides of the triangle are different in size/length
Isosceles triangle - 2 sides of the triangle are the same length
3) Now, we can use this to see what both triangles are:
--> Both triangles are not isosceles, they are both scalene. This is because all the sides of each triangle are different in size/length. This makes it scalene.
--> Both triangles are not acute triangles, they are both obtuse triangles. This is since the largest angle in each triangle is clear an obtuse angle (it looks like it is more than 90 degrees). Refer to the image I post as help.
With the observations above: We can say that both triangles are scalene, and both triangles are obtuse triangles.
<em>Hope you understood and have a nice day!! :D</em>
