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olga nikolaevna [1]
3 years ago
9

On a normal distribution if IQ test scores, with a mean of 100 and a standard deviation of 15 points, a score of 85 places you a

pproximately in what percentile of the population?A. 16thB. 50thC. 97thD. 76thE. 24th
Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

A. 16th

Step-by-step explanation:

We have been given that on a normal distribution IQ test scores, with a mean of 100 and a standard deviation of 15 points. We are asked to find the percentile for a score of 85.

We will use z-score formula and normal distribution table to answer our given problem.

z=\frac{x-\mu}{\sigma}, where,

z = Z-score,

x = Sample score,

\mu = Mean,

\sigma = Standard deviation.

Upon substituting our given values in z-score formula, we will get:

z=\frac{85-100}{15}

z=\frac{-15}{15}

z=-1

Now, we need to find area under a normal curve that corresponds to z-score of -1 that is P(z.

Using normal distribution table, we will get:

P(z

Let us convert 0.15866 into percentage as:

0.15866\times 100\%=15.866\%\approx 16\%

Therefore, a score of 85 places you approximately in 16th percentile of the population.

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mamaluj [8]

Answer:

4√3

Step-by-step explanation:

Use the acronym SOH CAH TOA and pick your angle. Im gonna pick the 30 degree angle. From the 30 degree angle, the x side is the hypotenuse, and the 2√3 is the opposite. I need to find H and O, which is the SOH part of my acronym.

Therefore Sin 30 = O/H. Then SIN 30 = 2√3/x.

We multiply both sides by x ⇒ x × sin 30 =2√3

Lastly we divide by sin 30. x = 2√3/ sin 30

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8 0
3 years ago
Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the tota
blagie [28]

Answer:

  • 1. $330
  • 2. 11.5 hours

Step-by-step explanation:

<u><em>Continuation of the question:</em></u>

  • <em>1. Find c (5) and interpret your solution in the context of the problem </em>
  • <em>2. Find the value of h when c() = 525 and interpret your solution in the context of the problem</em>

<u>Solution</u>

  • c(h) = 30h + 180

1 ...............................................

  • c(5) = 30*5 + 180 = $330

2 ...............................................

  • 525 = 30h + 180
  • 30h = 525 - 180
  • 30h = 345
  • h = 345/30
  • h = 11.5 hours

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3 years ago
Find the center of the circle that you can circumscribe about ABC A=(-1,-2) B=(-5,-2) C=(-1,-7)
Luda [366]

Answer:

O : (-3,-4.5)

Step-by-step explanation:

center of circle: O (x.y)

Radius (r) = OA = OB = OC

r² = (x - (-1))² + (y - (-2))² ---- OA²  

r² = (x - (-5))² + (y - (-2))² ---- OB²

r² = (x - (-1))² + (y - (-7))² ---- OC²

OA²=OB² : (x - (-1))² + (y - (-2))² =  (x - (-5))² + (y - (-2))²

(x+1)² - (x+5)² = 0       x²+2x+1-x²-10x-25 = 0

8x = -24

x = -3

OA² = OC²   (x - (-1))² + (y - (-2))² = (x - (-1))² + (y - (-7))²

y²+4y+4 = y² +14y +49

10y = -45

y = - 4.5

O : (-3,-4.5)

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3 years ago
What is the value of x in the solution of the system of equations below?<br>8x-y=20<br>Y=3x​
tatyana61 [14]

Answer:

x=4

where y =3x

8x-3x=20

5x=20

5x/5=20/5

x=4

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3 years ago
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gladu [14]
0.0765 i think is the answer
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2 years ago
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