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3 years ago

Find the distance between the pair of points given on the graph

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

The right answer is √74 units.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

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Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

blsea [12.9K]

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean $\mu=510$ ,

Standard deviation $\sigma=100$

Sample mean $x=300$

Percentage of students scored below 300 is given by,

$P(Z\leq \frac{x-\mu}{\sigma})\times 100$

$=P(Z\leq \frac{300-510}{100})\times 100$

$=P(Z\leq \frac{-210}{100})\times 100$

$=P(Z\leq-2.1)\times 100$

$=0.0179\times 100$

$=1.79\%$

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

$P(x\leq t)=0.90$

Now, $P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90$

$P(Z< \frac{t-\mu}{\sigma})=0.90$

$\frac{t-\mu}{\sigma}=1.28$

$\frac{t-510}{100}=1.28$

$t-510=128$

$t=128+510$

$t=638$

Score puts someone in the 90th percentile is 638.

5 0

3 years ago

A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?

Art [367]

The answer you are looking for would be 3 dollars

3 0

3 years ago

Read 2 more answers

Can someone help me with these 2 questions please???

kodGreya [7K]

Answer:

See step-by-step explanation.

Step-by-step explanation:

For the first question, you simply put an EMPTY circle above 2 and draw an arrow from it all the way down to -3. The reason why we put an empty circle is because there is no equal sign below it.

For the second question, you put a FILLED circle above 4 and draw an arrow from it all the way down to -3. The reason why we use a filled circle is because x is less than OR equal to 4.

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3 years ago

Please help me!! algebra 1!!

Aleks04 [339]

Answer:

Step-by-step explanation: