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:

brainly.com/question/13793746

#SPJ2


Related Questions

A stadium has fixed expenses of $20,000 per event. Last month it put on three big events and spent $50,000, $35,000, and 40,000 in advertising for them respectively. These events ended up earning a total of $500,000 in revenue. What was the stadium's profit margin last month?

Answers

Answer:

315,000

Step-by-step explanation:

(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000

500,000-185,000=315,000

Solve for b.

8b−1=24b+4


Enter your answer in the box.

Answers

Answer:

b=-5/16

Step-by-step explanation:

-5/16.

Work:
8b-1=24b+4
8b-1+1-24b=24b+4+1-24b (add 1 to both sides)
8b-24b-1+1=24b-24b+4+1 (subtract 24 to both sides)
-16y=6 (divide)
y=-16/5

Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 20% tip on a bill of $123.42 The amount of the tip is approximately $​

Answers

Answer:

$24

Step-by-step explanation:

First, we round to the nearest tenth.

$120

Now, we calculate the tip amount.

[tex].20 * 120 = 24[/tex]

PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!

Answers

Answer:

its C. 17/10

Bcs 3/2

=1.5

And on the figure shown 1.5 comes in c

Mark me BRAINLIEST
Just gonna say nothing……. You need 2 ppl to mark someone brainlest

HELPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

HWHAHAHAHA hatdog

jejdisisisiwis

reduce 4/36 to simplest terms


a. 1/8

b. 2/13

c. 1/9

d. 2/12

PLS ANSWER THISS :D

Answers

Answer:

C

Step-by-step explanation:

HCF of 4 and 36 is 4

Divide the numerator and denominator by 4

[tex]\dfrac{4}{36}=\dfrac{4*1}{4*9}=\dfrac{1}{9}[/tex]

In a random sample of 520 adults, the mean was 150 and the standard deviation was 4. 5. The study was reported with a 95% confidence level, and the confidence interval for the study was 150 ± 0. 39. What range of values shows the confidence interval for the study? 146. 1 to 153. 9 149. 61 to 150. 39 150 to 150. 39 150 to 153. 9.

Answers

Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)

The confidence interval is defined thus :

150 ± 0. 39

Lower boundary = 150 - 0.39 = 149.61

Upper boundary = 150 + 0.39 = 150.39

Therefore, the confidence interval for the study would be (149.61 ; 150.39)

Learn more : https://brainly.com/question/25562438

Write 1.42 as a mixed number in simplest form.
1.42=
The decimal is repeating

Answers

Answer:

71/50

Step-by-step explanation:

Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also gave her Skydiving Instructor a tip of $20. Define the unknown in the scenario and assign it a letter or symbol. math

Answers

Answer:

45+20=t   t=65

Step-by-step explanation:

t is my assigned letter

Hope this helps

Which is the function represented by the table?

Answers

Answer:

its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.

Answer:

f(x) = - 2x + 1

Step-by-step explanation:

The equation of a linear function in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table

m = [tex]\frac{-3-3}{2-(-1)}[/tex] = [tex]\frac{-6}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

The function crosses the y- axis at (0, 1 ) ⇒ c = 1

f(x) = - 2x + 1



4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.

Answers

Answer:

87

Step-by-step explanation:

earning rate (R) = $5/hr

total (T) = $287

time (t) = 40 hr

tips = T - Rt

= $287 - $5*40

$87

Hi i need the answer to this asap please

2 divided by 3

please explain how you got answer like show work

please do not answer in decimal form or the answer from go ogle

and please dont just answer for points

Answers

0.66666666666
I got it from the internet?
The only way to answer it other than decimal form would be as a fraction. This would simply be 2/3 (two over three). It cannot be simplified any further, so that is your answer.

help me please!!!??

Answers

Answer:

1/6

0.95833333333

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

1/6 (1/4) + 17/24 = 1/24 + 17/24

=3/4

four w plus ten equals negative w

Answers

Answer:

4w+10=-w

w=-2

Step-by-step explanation:

First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.

4w+10=-w10=-5w-2=w

Which expression has a sum of one and eight thirtieths?

Question 5 options:

three sixths + three fifths


four sixths + three fifths


four sixths + four fifths


five sixths + one fifth

Answers

Answer:

[tex]\frac{4}{6}+\frac{3}{5}[/tex]

Step-by-step explanation:

1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]

[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]

[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]

Item 38 Pre-Test: What category of magazine saw the largest number of new titles during the late 1800s

Answers

Answer:

Women's magazines

Step-by-step explanation:

The question is the img. Please answer both if u can

Answers

Problem 1

x = number of weeks

y = amount left on gift card (in dollars)

He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100

The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.

Answer:  y = -4.99x + 100

=======================================================

Problem 2

The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.

We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier

y = -4.99x + 100

y = -4.99*4 + 100

y = -19.96 + 100

y = 80.04

After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.

Check out the diagram below.

The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.


Can sides with lengths of 8, 3, 8 form a triangle

Answers

no the sume of the lengths of any two sides of a triangle must be greater than the lenght of the third side

Answer:

Yes, sides with lengths of 8, 3, 8 can form a triangle. The type of triangle sides with these lengths would form is called an isosceles triangle. Isosceles triangles have three sides, two of which are equal.

Which statement is true regarding the functions in the graph?

F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)

Answers

the Answer is f(3) = g(3)

Write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of 5 3 − = x y that passes through the point (8, 5).

Answers

Answer:

e

Step-by-step explanation:

what single transformation rule would be the same as a reflection across y=5 and then across the line y=-2?

I know the answer is T(0,-14) but I don’t understand how it’s -14?

Answers

Soils you are welcome I will call back and get it to work on 8384848 or so you need me and

An acute angle of a right-angled triangle is twice the other acute ongle find them​

Answers

Answer:

30° and 60°

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

----------------------

check

90 + 30 + 60 = 180°

the answer is good

15. (07.05 MC)

What is the solution to the equation 5x + 2(x - 4) = 5x + X - 10?


Answers

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

→ Expand the brackets

5x + 2x - 8 = 5x + x - 10

→ Collect the x terms

7x - 8 = 6x - 10

→ Minus 6x from both sides

x - 8 = -10

→ Add -8 to both sides

x = -2

kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax

Answers

Answer:

10.50

Step-by-step explanation:

Answer:

she will pay $10.50 in sales tax and $160.50 in total

Step-by-step explanation:

first, find 7% of 150.

150*.07=10.5

add 10.5 to the total

can someone help mee pleaseee

Answers

f(x) = x^2 - 13x + 30

Step-by-step explanation:

A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).

f(x) = (x-3)(x-10)  

f(x) = x^2 - 13x + 30

Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?

Can Someone Help me please

Answers

Answer:

As no graph is provided you can only solve it.Steps provided below

Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective values

Yes you have done it

x =


A )10

B) 8

C) 9




Help me please this note is just so it will stop saying this is to short

Answers

A) is the following answer ,

Answer:

8

Step-by-step explanation:

it just makes sense, 5=10, therefore 4=8.

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

Find the perimeter. Simplify your answer.

Answers

Answer:

20u-26

Step-by-step explanation:

To find the perimeter we have to add up all the sides

9u-6+u-7+9u-6+u-7

Combine light terms and we get

20u-26

help me plz with this

Answers

Answer:

1-a

2-e

3-d

4- c  

5- b

Step-by-step explanation:

Other Questions
If the hospital workers in the Management in Action case (regarding the nursing profession) wanted to unionize, what would be the first step in the process The bakery decides tomake only 100 corn muffins on Tuesday. How manykilograms of sugar will be needed? logx=(logx)^2find the value of x without using calculator Solve the Linear Quadratic system of equationsy=x^(2)+2x-9y=-2x+3 What is the answer for the following equation?53 x 65 + 36 5 = ? solve pls brainliest quien quiere ser mi novio Which description matches the object?O A. The object is a square with a circle inside of it. Each side of thesquare is a diameter of the circle.B. The object is a circle with a square inside of it. The sides of thesquare are radii of the circle.C. The object is a circle with a square inside of it. The sides of thesquare are chords of the circle.D. The object is a circle with a square inside of it. One side of thesquare is a diameter of the circle. True or false: A balance-of-trade equilibrium exists when the income residents earn from exports exceed the money residents pay to other countries for imports. The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length. What are the process of hacking computers If my skater begins at a height of ______ meters, then the skater will have enough total energy to successfully complete the skate park ramp from start to finish. (Fill in the blank with a height between 0 and 10 meters.)JUST PLS FILL IN THE BLANK When you need to write a research report, what key information can a style manual provide?a) an example of a neat, easy-to-read paper with enough white spaceb) rules about what types of information to include in a research reportc) a list of vocabulary words and phrases to use in any research reportd) guidelines about how to cite the sources where you found information Why is nonpoint source pollution difficult to control? (Site 2). CAN SOMEONE PLEASESS HELP ME!! Thank uu!!! Pleaseee help i will mark brainliest! ano epekto ng media sa kulturang filipino Which of the following is NOT true about Galileo? Question 3 options: He was such a brilliant mathematician that he became a professor of mathematics at the age of 25. He developed a new and improved thermometer and a better compass. He designed a telescope 10 times more powerful than earlier models. He was able to prove that Ptolemy's theory that the moon had a smooth, polished surface was true. At the Inquisition he signed a paper taking back his radical ideas about the Earth revolving around the sun. What is the intensity of the electromagnetic light waves coming from the Sun just outside of the atmosphere of Venus, Earth and Mars Which of the following expressions is modeled on the number line?+-2 -1+0+15--23467-N8910-2(3)02.36 = -30 0 + 6