IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160​.

a) What is the difference between Einstein's IQ and the mean?
b) How many standard deviations is that?
c) Convert Einstein's IQ score to a Z-score
d) If we consider "usual IQ scores to be those that convert z-scores between -2 and 2, is Einstein's IQ usual or unusual?​

Answers

Answer 1

Answer:

A) 60

B) Between 3 and 4

C) [tex] \frac{160 - 60}{16} [/tex]

D) Extremely unusual.

Answer 2

The difference between Einstein's IQ and the mean is 60. There are standard deviations between 3 and 4. Einstein's IQ score to a Z-score is 9.375. If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.

What is Z -score?

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160​.

The difference between Einstein's IQ and the mean :

⇒ 160 - 100 = 60

There are standard deviations between 3 and 4.

Einstein's IQ score to a Z-score:

Here,

ц = 160

σ = 16

X = 100

⇒ z-score = (X-ц )/σ

Substitute the values,

⇒ z-score = (160- 10)/16

⇒ z-score = 150/16

⇒ z-score = 9.375

If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.

Learn more about the z-score here:

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Related Questions

b. 6 times the sum of 12 and 8

Answers

Answer:

120

Step-by-step explanation:

12+8 = 20

20*6 = 120

what is 2 2/3×3 1/4 as a fraction form

Answers

Answer:

8 2/3

Step-by-step explanation:

2 2/3×3 1/4

Change to improper fractions.

2 2/3=8/3

3 1/4=13/4

8/3x13/4=26/3

=8 2/3

Hope this helps :)

x=-5y+2
x=3y-2
elmantion or substutuion

Answers

Answer:

y = 1/2

Step-by-step explanation:

x = -5y+2

x=3y-2

substitute for x ans solve

3y-2=-5y+2

8y-2=2

8y = 4

y= 4/8

y=1/2

Please help, I would really appreciate it.

Answers

for 2/5(x-4)-10, x=29. For y=mx+b, x= y-b/m

6.0 x 10^6 in scientific notation

Answers

Answer:

6,000,000

Step-by-step explanation:

the amount of 0's you add is one less than the exponent listed (for example, the exponent here is 6, so add 5 0's)

If 15 & 36 are two sides of a right triangle what other number makes a Pythagorean Triples.

Answers

Answer:

39

Step-by-step explanation:

15^2 +36^2 = c^2

225 + 1296 = 1,551

√1551 = 39

PLS HELP ALSO CHECK OUT MY LAST QUESTIONEACH ONE IS 20 POINTS!!!!
a scuba diver descended at a rate of 2 1/4 feet per second. I f 0 reprasents the serface of the water and distance below the serface is negative, which expression reprasents one way to calculate the location of the diver after 12 have a half (12 1/2) seconds?
A. 12 1/2 - 2 1/4
B. 12 1/2 + 2 1/2
C. 12 1/2 x 2 1/2
D. 12 1/2 x (-2 1/4)

Answers

Answer:

D

Step-by-step explanation:

Non of the other answers have negatives in them.  And you would solve with multipliation.

It's D. Look at the one above me.

What is an equation of the line that passes through the points (-6, -4)
and (-4, 0)?

Answers

Answer:

y=2x+8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).

There are 3 ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negative

Let's write the equation in slope-intercept form, which is the most common way to do it.

We'll need to start by finding the slope of the line

The formula for the slope calculated from two points is [tex]\frac{y_2- y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:

[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]

Substitute these equations into the formula to find the slope (m):

m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]

Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):

m=[tex]\frac{0- -4}{-4--6}[/tex]

Simplify

m=[tex]\frac{0+4}{-4+6}[/tex]

Add the numbers together

m=[tex]\frac{4}{2}[/tex]

Divide

m=2

The slope of the line is 2

We can immediately plug it into the formula for slope-intercept form  as m:

y=2x+b

Now we need to find b

As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b

Taking (-4, 0) for example:

Substitute -4 as x and 0 as y:

0=2(-4)+b

Multiply

0=-8+b

Add 8 to both sides

8=b

Substitute 8 as b into the equation

y=2x+8

Hope this helps!

How to solve this? :)

Answers

Step-by-step explanation:

by understanding how a number actually works.

when I write e.g. the number 2648, what did I actually tell you ?

that there is a value or quantity that is

8×10⁰ + 4×10¹ + 6×10² + 2×10³

every number you or anybody else has ever written represented this type of information.

so, now we have a 2-digit number : xy

its value is : y×10⁰ + x×10¹

and because 10⁰ = 1 and 10¹ = 10, this is simply

x×10 + y or 10x + y

the description tells us that

|x - y| = 2

and that xy + yx = 132

that means

10x + y + 10y + x = 132

11x + 11y = 132

we can divide by 11 and get

x + y = 12

like 8+4 or 9+3.

and we know the difference between x and y is 2

like 6 and 4, or 1 and 3.

normally we should know the solution already (I do), but let's finish it formally.

we use one scenario of the absolute value equation :

x - y = 2

x = y + 2

and we use this in the second equation :

y + 2 + y = 12

2y + 2 = 12

2y = 10

y = 5

x = y + 2 = 5 + 2 = 7

the same, just with reversed positions, is the result when using

y - x = 2

so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.

Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?

Answers

Answer:

29.2425

Step-by-step explanation:

25%=0.25

38.99 *  0.75 = 29.2425

Given: F(x)=3 x^2 + 1, G(x)= 2 x-3 , H(x)=x
F(G(x))=

Answers

Answer:

f(g(x)) = 12x² - 36x + 28

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x) )

= f(2x - 3)

= 3(2x - 3)² + 1 ← expand factor using FOIL

= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3

= 12x² - 36x + 27 + 1 ← collect like terms

= 12x² - 36x + 28

What is the slope of the line with equation 2x−5y=52?

Answers

Answer:

m = 2/5

Step-by-step explanation:

2x - 5y = 52

-5y = -2x + 52

y = 2/5x - 52/5

The slope of the line with equation 2x−5y=52 is 2/5.

The given equation of line is 2x−5y=52.

What is the slope of a equation?

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.

The given equation 2x−5y=52 can be rewritten as

2x-52=5y

⇒ y = 2x/5-52/5

Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c

So, m=2/5

Therefore, the slope of the line with equation 2x−5y=52 is 2/5.

To learn more about the slope of an equation visit:

https://brainly.com/question/13496015.

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. Mrs. Jackson needs to earn $3,000 a
month. How much does she need to sell if
she earns 15% commission on everything
she sells?

Answers

Answer:

20000

Step-by-step explanation:

Answer:

20000

Step-by-step explanation:

Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups. Group startsTrue or False

Answers

Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False

Univariate statistical tests are statistical test that are used to observe a single variable. We can have one or more independent variables but we study only one dependent variable.

So, univariate statistical tests are not most appropriate for testing hypotheses that compare the characteristics of two groups.

So, Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False

Learn more about univariate statistical tests here:

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Anitha types 200 words in half an hour How many words will she type in 12 minutes , if typing speed remains the same

Answers

Answer:

she'll type 80 words.

Step-by-step explanation:

200/x=30/12

x=(200×12)/30=80

Korey completely covered a square counter top using 103.5 ftof tile without any overlap.
Which measurement is closest to the side length of this counter top in feet?
10 ft
O 11 ft
O 27 ft
O 55 ft

Answers

Answer:

10 ft

Step-by-step explanation:

10² = 100

11² = 121

Answer: 10 ft

Question 1 (2 points)

Find the missing side.

А b с

14

23

B

O

37

Answers

Answer:

USED YOUR BRAIN NOT BRAINLY...

Step-by-step explanation:

TY

What is the square root of r^64

Answers

Answer:

the answer is 8

Step-by-step explanation:

because the (8)²is 8×8is 64

Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.

Answers

Answer:

You need more information for this question to be solved.

Step-by-step explanation:

Are any of the variables given?

(Pythagorean theorem) do the following lengths form a right triangle? Show steps

Answers

Answer:

8^2+6^2=10^10?

64+36=100

Yes

Hope This Helps!!!

Answer:

Yes,

Step-by-step explanation:

8^2 +6^2=100

[tex]\sqrt 100\\[/tex]= 10

Find the nth term of this quadratic sequence 4, 7, 12, 19, 28

Answers

Answer:

The answer is 84

Step-by-step explanation:

4,7,12,19,28,39,52,67,84

An ice cream shop serves about 60 customers in one day. About how many customers does the ice cream shop serve in 40 days?

Answers

Answer:

2400

Step-by-step explanation:

60(customers/day) x40(days) = 2400 customers in 40 days

#3) Find the measure of arc N).


Answers

Answer:

Arc NJ is 65°

Step-by-step explanation:

An entire circle measures 360°

Therefore, add all the given dimensions and subtract the sum to 360

> 150+50+50+45 = 295

> 360-295 = 65

Therefore, the measurement of arc NJ is 65

what is this matrix called
[2,5,6]​

Answers

Answer:

The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.

50% of 25% is the number. What is the number?

Answers

Answer:

1/8

Step-by-step explanation:

50/100 * 25/100

1/2 * 1/4 = 1/8

2. Connor went to the carnival with S22.50. He bought a hot dog and a drink for $3.75, and he wanted to spend
the rest of his money on ride tickets which cost $1.25 each. What is the maximum number of ride tickets that he
can buy?
A. Define the variable.
B. Write tire inequality.
D. Write your conclusion/final answer.
C. Solve for the number of weeks that Keith can
withdraw money from his account.​

Answers

Answer:

15

Step-by-step explanation:

graph :

x > - 3 and y < 1

Answers

Answer:

Step-by-step explanation:

i dont know  if this helped u but if it did let me know

Can someone please help me solve this please

Answers

Step-by-step explanation:

j(x) = 2x + 9

=> 2x + 9 = j(x)

=> 2x = j(x) - 9

=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

1

Step-by-step explanation:

"exceeds"= greater than

d is greater than 7 hours

d > 7

Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number

Answers

The unknown number expressed as a mixed fraction is 11 19/20

Let the unknown number be "x"

The sum of the number and 1.75 is expressed as x + 1.75

Half the sum of a number and 1.75 is 1/2(x+1.75)

Equating the result to -5.1 wil give:

1/2(x+1.75) = -5.1

Solve the resulting equation

x + 1.75 = 2(-5.1)

x + 1.75  = -10.2

x = -10.2 - 1.75

x = 11.95

x = 1195/100

x = 11 95/100

Hence the unknown number expressed as a mixed fraction is 11 19/20

Learn more here: https://brainly.com/question/14583740

Answer

-11 19/20

I took the test and got it right!

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