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Snowcat [4.5K]
4 years ago
11

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

ege admissions in the United States. Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that qualifies for the scholarship?
Minimum Score:
Mathematics
1 answer:
slamgirl [31]4 years ago
6 0

Answer:

The score is  x  =  1884

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu  = 1500

     The standard deviation is  \sigma  =  300

     

From the question we are told that the score follow a normal distribution

i.e     X  \~  \   N( 1500 , 300)

The proportion of score in the top 10% is mathematically

           P(X > x )  =  P( \frac{X -  \mu}{\sigma }  > \frac{x -  \mu}{\sigma }   ) = 0.10

Where x is the minimum score required to be in the top 10%

Now the \frac{X -  \mu}{\sigma }   =  Z (The  \ Standardized \ value \  of  \  X)

  So

            P(X > x )  =  P( Z > \frac{x -  \mu}{\sigma }   ) = 0.10

So

            P(X > x )  =  P( Z > \frac{x -  1500}{300}   ) = 0.10

So the critical value of  0.10  from the normal distribution table is  Z_{0.10} =  1.28

So

               \frac{x -  1500}{300}   = 1.28

              x  =  1884

           

       

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Can the sum of two mixed numbers be equal to 2 ? Explain why or why not.
tensa zangetsu [6.8K]

Let

x=3\frac{1}{2} \\ \\ y=-1\frac{1}{2}

<u>Find the sum of the mixed numbers x and y</u>

(x+y)=3\frac{1}{2}+(-1\frac{1}{2})\\ \\(x+y)=2

therefore

<u>the answer is</u>

Yes, the sum of two mixed numbers be equal to 2, only if you include a negative mixed number


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4 years ago
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the graph shows the number of wimbledon championships of several countries. Write the ration that compares the championships won
arlik [135]

Answer:

The ratio that compares the championships won by Australia to the total number won by the United States is equal to \frac{2}{5}

Step-by-step explanation:

Observing the graph

we know that

The championships won by Australia are 6

The championships won by the United States are 15

To find out the ratio, divide the championships won by Australia by the total number won by the United States.

so

\frac{6}{15}

Simplify

Divide by 3 boths (numerator and denominator)

\frac{2}{5}

Convert to percentage

\frac{2}{5}=0.40*100=40\%

that means

For every 2 championships won by Australia the United States won 5

or

The championships won by Australia are 40% of the championships won by the United States

4 0
3 years ago
Someone please help with this,I’m no expert at doing annotated bibliography I will give Brainliest to whoever helps me out(:
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An annotated bibliography includes the citation and a brief description of the source.

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3 years ago
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Together teammates pedro and ricky got 2685 base hits last season. Pedro had 277 more than ricky. How many hits did each player
Ksju [112]
Let x be the number of base hits Ricky got. With this representation, the number of base hits Pedro got is x + 277. The sum of their number of hits is equal to 2685. The equation that best represent the scenario is,
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The value of x is 1204. Therefore, Ricky got 1204 and Pedro got 1481. 
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3 years ago
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