Using the normal distribution, the diameter that represents the 49th percentile is of 1.52 units.
<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.
Using a calculator, the mean and the standard deviation for the diameters are given as follows:
The 49th percentile is <u>X when Z = -0.025</u>, hence:
X - 1.524 = -0.025 x 0.1226
X = 1.52.
More can be learned about the normal distribution at brainly.com/question/15181104
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Answer:
B. Tamar is correct.
Step-by-step explanation:
A triangle can be proven as a right angle triangle if it follows Pythagoras theorem. The pythagoras theorem can be use to know if a triangle is right angled triangle. Therefore, pythagoras theorem is expressed as
c² = a² + b²
where
c = hypotenuse sides
a and b can be any of the opposite or adjacent sides.
The hypotenuse side is the longest side so the triangle with length side of 40, 42 and 58 will have the hypotenuse as 58 . The other sides will be the opposite and adjacent sides
c² = a² + b²
58² = 40 ² + 42²
3364 = 1600 + 1764
3364 = 3364
Therefore, it obeys Pythagoras principle. Tamar's work is correct . The triangle is a right angled triangle.
Answer:
C
Step-by-step explanation:
Since it ends in 5 it is an odd number.
You use the slope formula to classify a quadrilateral as a parallelogram or rectangle. you use the distance formula to see if it is a trapezoid.
