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
#SPJ1
Answer:
so can't see the graph
Step-by-step explanation:
but if you can give a picture of the graph i could help out.
Volume: h • pi r^2
Volume: (7.5) • pi (2)^2
Volume: 94.247796
Just round to your teacher’s liking
Tan(theta)= pi
Now, in order for you to find the angle (theta), you would inverse tan both the left and the right to find the value. The inverse of tan is tan^-1.
tan(theta)=pi ---> theta = tan^-1(pi)
Then, you would plug tan^-1(pi) into a calculator, giving you the value
1.26
Answer:
a)
b)
c)
Step-by-step explanation:
We want to simplify
Let :
Square both sides of the equation:
Expand the RHS;
Compare coefficients on both sides:
Solve the equations simultaneously,
Solve the quadratic equation in b²
This implies that:
When b=-3,
Therefore
We want to rewrite as a product:
as a product:
We rearrange to get:
We factor to get:
Factor again to get;
We rewrite as difference of two squares:
We factor the difference of square further to get;
c) We want to compute:
Let the numerator,
Square both sides of the equation;
Compare coefficients in both equations;
and
Put equation (2) in (1) and solve;
When b=-1, a=-2
This means that:
This implies that: