I’ll mark as brainliest help plsss

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

mihalych1998 [28]

Given Information:

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

$\bar{x} = 1884\\$

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

$P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\$

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

$\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\$

Therefore, you need to score 1884 in order to qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0

3 years ago

5/2x+1 + 8/2x+1, x≠-1/2

svet-max [94.6K]

$\frac{5}{2x + 1} +\frac{8}{2x + 1}$

$= \frac{5 + 8}{2x + 1}$

$= \frac{13}{2x + 1}$

3 0

2 years ago

Sanjay borrowed 7,000 at a simple interest rate of 3% per year. After a certain number of years he had paid $840 in interest alt

alexgriva [62]

Answer:

It was 4 years.

Step-by-step explanation:

To solve this problem we need to use the appropriate formula for simple interest, which is shown below:

M = C*r*t

Where M is the amount of interest, C is the initial amount of money, r is the rate of interest and t is the time elapsed in years. Applying the data from the problem we have:

840 =7000*0.03*t

840 = 210*t

210*t = 840

t = 840/210

t = 4

It was 4 years.

7 0

3 years ago

Please help me with this question! :

Anna11 [10]

Answer:

155 cm2

Step-by-step explanation:

3 x 4/2=6

6 x 2=12

5 x 11=55

55 x 2=110

3 x 11=33

12+110+33=155

I found the surface area of the triangular prism by calculating every side of the area and add it up.

5 0

3 years ago

Read 2 more answers

When stating the null and alternative hypotheses, the hypotheses are: Select one: a. Always about the statistic only b. Always a

Nata [24]

Answer:

D. Always about the parameter only

Step-by-step explanation: A Null Hypothesis is a hypothesis used in statistics to show that there is no variation among the variables of interest. A Null Hypothesis also can be said to be giving a proposal that there is not significant difference between the observed data.

An alternative hypothesis is a hypothesis in statistics given contrary to the Null Hypothesis,a Null hypothesis can also be seen in statistics as stating that something is happening among the data.

3 0

3 years ago