How to find standard deviation from percentile for normal distribution?

Answers

Answer 1
Answer: The standard deviation of what?  Percentiles from any normal distribution look the same, just like the unit normal, so you can't really determine the standard deviation of the original scores. You can determine a z score from a percentile.  That tells us the number of standard deviations, positive or negative, a given score is away from the mean score.  It's a normalized test result.

Your percentile is (a hundred times) the probability that another score is less than your score.  We have a normal distribution, so that probability is the integral of the standard normal from negative infinity to our normalized score.  

Let's call the percentile rank p, already scaled between zero and 1.

p=.5 corresponds to a z score z=0 because the fiftieth percentile means we got an exactly average score, 0 standard deviations away from the mean.

We know 68% of the probability will be between -1 and +1 standard deviation.  So z=-1 corresponds to p=.5-.68/2=.16 and
z=1 corresponds to p=.5+.68/2=.84

Similarly, 95% of the probability will be between -2 and +2 standard deviations.  So z=-2 corresponds to p=.5-.95/2=.025 and
z=2 corresponds to p=.5+.95/2=.975

That's about the list I can do off the top of my head. I think three standard deviations is 99.7%. For the rest we just consult a z table or integrated normal table.  We find p in the body of the table (maybe |.5-p| depending on the table) and then the column headings tell us our z score.

In this modern age, your computer can do this for you quickly


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Find n. 30/38= 15/n n=______
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A professional athlete deposited an amount of money into a high-yield mutual fund that earns 14% annual simple interest. A second deposit, $2,400 more than the first, was placed in a certificate of deposit earning 8% annual simple interest. In one year, the total interest earned on both investments was $456. How much money was invested in the mutual fund?

Answers

Answer:

$1,200

Step-by-step explanation:

Let x be the amount of money deposited in the mutual fund. The interest earned by that investment can be determined as the amount deposited times the interest rate:

I_(1) = x*0.14

The value the second deposited can be determined as x+$2,400 and its interest earned is defined in the same manner as the first deposit's:

I_(2) = (x+2400)*0.08

The total interest on both investment equals the sum of both interests:

456=I_(1)+I_(2)\n456=(x+2,400)*0.08 +x*0.14\nx=(456-192)/(0.22)\n x=1,200

$1,200 were invested in the mutual fund.

Help answer 1/5x-2/3y=30 when y = 15

Answers

The value of the variable x at y = 15 will be 200.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

(1/5)x - (2/3)y = 30

Solve the equation for x, then we have

(1/5)x = 30 + (2/3)y

x = 150 + (10/3) y

The value of the variable x at y = 15 will be

x = 150 + (10/3) × 15

x = 150 + 50

x = 200

The value of the variable x at y = 15 will be 200.

More about the solution of the equation link is given below.

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\frac{1}5x-\frac{2}3y=30

Plug in 15 for y.

\frac{1}5x-\frac{2}3(15)=30

2/3 of 15 is 10.

\frac{1}5x-10=30

Add 10 to each side.

\frac{1}5x=40

Divide each side by 1/5.
(dividing by a fraction is the same as multiplying by its reciprocal...flip 1/5...×5)

\boxed{x=200}

James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, what percent tip did he receive for serving these meals? Round your answer to the nearest percent?

Answers

Total tips: $17.67

Total meals: 23.50 + 40.65 + 30.50 + 15.68 = $110.42


Percentage = (total.tips)/(total.meals) = (17.65)/(110.42) = 0.159844...=about 16%

Final answer:

James received an average tip of 16% for the meals he served, calculated by dividing his total tips by his total bill amount and multiplying by 100.

Explanation:

To solve this problem, we first need to find the total amount of bills that James served, which is $23.59 + $40.65 + $30.50 + $15.68 = $110.42. James received a total of $17.67 in tips. The percentage of tips James received can be calculated by dividing the total amount of tips by the total amount of bills he served and then multiplying that result by 100 to get the percentage. So, the calculation would look like this:

($17.67 / $110.42) × 100 = 16.01%

Rounding to the nearest percent, James received an average of 16% tip for serving these meals.

Learn more about Percentage Calculation here:

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Which pair is a base and corresponding height for the triangle?A.

b = 16 units and h = 9.6 units








B.

b = 20 units and h = 16 units








C.

b = 20 units and h = 9.6 units








D.



b = 20 units and h = 12 units

Answers

 I believe the answer is B. because the dashed line in the middle of your triangle shows the height, and the only side that is perpendicular to the dashed line, is the one b = 20

Solve For a please and thanks

Answers

I hope this helps you

Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formula. Finish Silvio’s work to find the length of side AB.What is the perimeter of quadrilateral ABCD?

15 units
17 units
18 units
20 units

Answers

AB = √(-4)² + (-3)²
AB = √ 16 + 9
AB = √ 25
AB = 5

AD = 4 ; DC = 4 ; BC = 7

Perimeter = 5 + 4 + 4 + 7 = 20 units

Answer: 20 units

Step-by-step explanation: