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qwelly [4]
3 years ago
5

4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

z-score = \frac{x-mean}{SD}

So,

For 85:

z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1

z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

z_2-z_1 = 0.9082-0.1587=0.7495

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

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zhuklara [117]
So there is an identity we'll need to use to solve this:

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replace the numerator with the right hand side of that identity and we get:

(cosxcosy - sinxsiny)/cosxsiny

Separate the numerator into 2 fractions and we get:

cosxcosycosxsiny- sinxsiny/cosxsiny

the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:

cosy/siny - sinx/cosx

which simplifies to:

coty - tanx




7 0
3 years ago
Find the area of each figure
jeka94

Answer:

50.74 yds^2

Step-by-step explanation:

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What’s the solution to the system 5y=6x-4 and 3y=-6x+20
Elina [12.6K]

Answer:

6x-5y=4

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Step-by-step explanation:

Move variable to the left

5y=6x-4

Reorder the terms

5y-6x=-4

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-6x+5y=-4

Move variable to the left

3y=-6x+20

Reorder the terms

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3 0
3 years ago
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4of the drink is apple juice a
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4 0
3 years ago
21. Find the distance between the points. Leave your answer
asambeis [7]

Answer:

The answer is

\sqrt{65}  \:  \:  \: units

Step-by-step explanation:

To find the distance between two points we use the formula

\sqrt{ ({x1 - x2})^{2}  + ( {y1 - y2})^{2} }

where

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From the question the points were

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Substitute the values into the above formula

That's

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We have the final answer as

\sqrt{65}  \:  \: units

Hope this helps you

4 0
3 years ago
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