Work out the area of ABCD. Give your answer to 1 decimal place.

The combined math and verbal scores for students taking a national standardized examination for college admission, is normally d

kipiarov [429]

Answer:

The minimum score that such a student can obtain and still qualify for admission at the college = 660.1

Step-by-step explanation:

This is a normal distribution problem, for the combined math and verbal scores for students taking a national standardized examination for college admission, the

Mean = μ = 560

Standard deviation = σ = 260

A college requires a student to be in the top 35 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college?

Let the minimum score that such a student can obtain and still qualify for admission at the college be x' and its z-score be z'.

P(x > x') = P(z > z') = 35% = 0.35

P(z > z') = 1 - P(z ≤ z') = 0.35

P(z ≤ z') = 1 - 0.35 = 0.65

Using the normal distribution table,

z' = 0.385

we then convert this z-score back to a combined math and verbal scores.

The z-score for any value is the value minus the mean then divided by the standard deviation.

z' = (x' - μ)/σ

0.385 = (x' - 560)/260

x' = (0.385×260) + 560 = 660.1

Hope this Helps!!!

8 0

3 years ago

The kinetic energy (in joules) of a moving object can be calculated from the expression 1/2mv^2, where m is the mass of the obje

algol13

Answer: $116\text{ joules}$

Step-by-step explanation:

Given: Mass of baseball=0.145 kg

Speed of baseball=40 meters per second

Also it is given that The kinetic energy (in joules) of a moving object can be calculated from the expression $\frac{1}{2}mv^2$ , where 'm' is the mass of the object in kilograms and 'v' is its speed in meters per second.

Thus, the kinetic energy of baseball= $\frac{1}{2}(0.145)(40)^2$

$\frac{1}{2}(0.145)(1600)=116\text{ joules}$

3 0

3 years ago

Read 2 more answers

A person selecting a bank does not need to consider whether the staff is friendly and helpful. True False

Nostrana [21]

False, A person would not want a bank where they could not depend on the staff and be able to come to them if they were having problems with the bank account

8 0

3 years ago

Read 2 more answers

Simplify using Quotient Rule 10^12 OVER 10^8

OverLord2011 [107]

Answer:

$10^4$