Answer:
6.68% of students from this school earn scores that satisfy the admission requirement
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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The local college includes a minimum score of 1954 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement
This is 1 subtracted by the pvalue of Z when X = 1954. So
has a pvalue of 0.9332
1 - 0.9332 = 0.0668
6.68% of students from this school earn scores that satisfy the admission requirement
Answer:
ok.
Step-by-step explanation:
Not a question.
The answer would be 15 but i am not sure what the problem says her answer is. if it is not 15 then her answer is wrong
Answer:
The area of the triangle is 3750 m²
Step-by-step explanation:
- The formula of the area of a right triangle is A = bh, where b and h are the legs of the right angle
- The longest side in the right triangle is the side opposite to the right angle and is called the hypotenuse
- The length of the hypotenuse =
∵ The longest side of a right angled triangle is 125 m
∴ the length of the hypotenuse = 125 m
∵ The length of one of the remaining two side is 100 m
∴ b = 100 m
To find the area of the triangle you must find the other side of the right angle
∵ The length of the hypotenuse =
∴ 125 =
- Square the two sides
∴ 15625 = 10000 + h²
- Subtract 10000 from both sides
∴ 5625 = h²
- Take √ for both sides
∴ 75 = h
∴ h = 75 m
∵ A = bh
- Substitute the values of b and h in the formula above
∴ A = (100)(75)
∴ A = 3750
∴ The area of the triangle is 3750 m²
Given:
Radius of half sphere and cone = 6 cm
Height of cone = 12 cm
To find:
The volume of composite figure that is made up of a cone and a half sphere.
Solution:
Volume of half sphere is:
Where r is the radius of the half sphere.
Putting , we get
Volume of a cone is:
Where r is the radius and h is the height of the cone.
Putting , we get
Volume of the composite figure is:
Therefore, the volume of a composite figure is 1808.64 cubic centimetres.
Note: All options are incorrect.