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maria [59]
4 years ago
9

Standard normal distribution question!!. assume that adults have IQ scores that are normally distributed with a mean of 100 and

a standard deviation 20. Find P15, which is the IQ score separating the bottom 15% from the top 85%
Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
5 0
The 15th percentile (area below which 15 % of cases lie in a standard normal distribution is, from tables -1.04 
<span>z=(x-mean)/sd </span>
<span>-1.04 = (x-100)/15 </span>
<span>x=100+15(-1.04) =84.4</span>
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Make a table of values and create a line of best fit
Anni [7]
<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}

As you can see, x increases in steps of 1 units. So let's check the difference in y:

\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope

Then:

k=\frac{2-0}{1-0}=2

Finally, the equation of the line is:

\boxed{y=2x}

4 0
3 years ago
On the first play of the game, the Wildcats gained 8 yd. What integer represents a gain of 8 yd? Enter your answer in the box.
lina2011 [118]

Answer:

+8

Step-by-step explanation:

They gained 8 yards so it is +8.

7 0
4 years ago
If the sum of a number and its square is 182, what is the number ?
vivado [14]

Answer:

-14 or 13

Step-by-step explanation:

x + x^2 = 182  

x^2 + x - 182 = 0  

rearrange and solve by completing the square  

x^2 + x = 182  

x^2 + x + 1/4 = 182.25  

(x + 1/2)(x + 1/2) = 182.25  

(x + 1/2)^2 = 182.25  

x + 1/2 = root 182.25  

x = + or - root 182.25 - 0.5  

x = + or - 13.5 - 0.5  

x = 13 or x = - 14

5 0
3 years ago
Read 2 more answers
Solve the variable x. 12yx = 5z
romanna [79]

Answer:

\boxed{\bold{x \ = \ \frac{5z}{12y} }}

Explanation:

  • Solve For X: 12yx = 5z

[ Divide Both Sides By 12y ]

12xy / 12y = 5z / 12y

  • x = 5z / 12y

- PNW

5 0
3 years ago
The perimeter of a rectangle is no more than 24cm. The two opposite sides are each 4 cm long. What are the possible lengths of t
Klio2033 [76]


if two opposite sides are 4cm each then their total length is 8cm. If the total length is 24cm then to work out the possible lengths of the other two sides you subtract 8 from 24 which gives you 16. A rule in rectangles is that opposite sides are equal so each remaining side would have a length of 16/2 which is 8. To get all the possible answers you have to go through all the possible perimeters (assuming all perimeters have to be whole numbers) between 24(max) and 9(min) and do those steps.



5 0
4 years ago
Read 2 more answers
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