Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.
<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 proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:
X = 590:
Z = 0.76
Z = 0.76 has a p-value of 0.7764.
X = 400:
Z = -0.89
Z = -0.89 has a p-value of 0.1867.
0.7764 - 0.1867 = 0.5897 = 58.97%.
58.97% of students would be expected to score between 400 and 590.
More can be learned about the normal distribution at brainly.com/question/27643290
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Answer:
The GCF for the variable part is ab².
GCF<em>Variable</em>=ab²
Multiply the GCF of the numerical part 5 and the GCF of the variable part ab².
5ab²
Step-by-step explanation:
The answer is A. 3375 mm^3. This is because, since it is a cube, all of the sides are the same, meaning that you have to do 15 × 15 = 225, and then multiply that by 15 which is 3375. I hope this helps!
Answer:
37.3032cm^2
Step-by-step explanation:
Given data
Diameter= 0.6cm
Radius= 0.3cm
Lenght = 19.5cm
Surface area (A) =2πrh+2πr^2
Substitute
A=2*3.14*0.3*19.5+2*3.14*0.3^2
A=36.738+0.5652
A=37.3032
Hence the surface area is
37.3032cm^2
Answer:
<u>The correct answer is D. 4.55</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
What is the approximate value of 2π-√3?
2. Replacing the equation with the values:
π = 3.1416
√3 = 1.7321
2π-√3
2 (3.1416) - 1.7321 = 6.2832 - 1.7321 = 4.5511
4.55 (Rounding to two decimal places)
<u>The correct answer of 2π - 3 is D.4.55</u>
