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?​

Answer:

x=21/2

Step-by-step explanation:

5(x+3)=6(12+x/2)

Distribute the 5.

5x+15=6(12+x/2)

Reduce the numbers with the greatest common factor 2.

5x+15=3(12+x)

Distribute the 3.

5x+15=36+3x

Move the variable to the left-hand side and change the sign.

5x+15-3x=36

Collect like terms.

2x=36-15

2x=21

Divide 2 on both sides

x=21/2

Hope this helps :)

Answer:

x = 10.5

Step-by-step explanation:

5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides

5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )

2x + 15 = 36 ( subtract 15 from both sides )

2x = 21 ( divide both sides by 2 )

x = 10.5

Answer:

the highest choices are red and green

Answer:

11.25

Step-by-step explanation:

I divided 67.50 by 6 and it got me the answer 11.25

Answer:

angle qpt equals 125

Step-by-step explanation:

QPT=60,RPS=45, and SPT=90-60=30

so its sum will be 125

Answer:

x = 1/5

Step-by-step explanation:

yeah-ya........ right?

Answer:

2/5

Step-by-step explanation:

Six out of 15 are full.

[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]

Answer:

$9.68 per Hour, $11.72 per Hour.

Step-by-step explanation:

What you thought of..

10% of original pay wage = $0.80

Sofia's Pay Wage will be incremented by 10% of $8 every 6 Months.

Function:

Sofia's Pay Wage = e

Original Pay Wage = o

Increment = i

6 Months = t

e = o + ti

1 Year = 12 Months

$8 + ($0.80 x 2) = $9.60

In 1 Year, Sofia's Pay Wage will be $9.60 per Hour

$8 + ($0.80 x 4) = $11.20

In 2 Years, Sofia's Pay Wage will be $11.20 per Hour

What I Thought Of..

Sofia's Pay Wage will be incremented by 10% every 6 Months.

Function:

Sofia's Pay Wage = e

Original Pay Wage = o

Increment = i

6 Months = t

e = o + t(ei)

1 Year = 12 Months

($8 + {10% of Sofia's Pay Wage}) = $8.80

($8.80 + {10% of Sofia's Pay Wage}) = $9.68

In 1 Year, Sofia's Pay Wage will be $9.68 per Hour

($9.68 + {10% of Sofia's Pay Wage}) = $10.65

($10.65 + {10% of Sofia's Pay Wage}) = $11.72

In 2 Years, Sofia's Pay Wage will be $11.72 per Hour

Brainly? (I spent a while on this)

Answer:

(3,4)

Step-by-step explanation:

There are rules for rotations that make it really easy to find the images of any given point for any given rotation. In this case, we have an 180° clockwise rotation, and to find the image of any point rotated this way, we just have to make the x-values and y-values negative.

In this case, we have (-3,-4). Let's make each value negative: (-(-3), -(-4)). Our negative signs cancel out and we get (3,4). And that's the image of the point (-3,-4) at a 180° clockwise rotation about the origin.

Hopefully that's helpful! :)

The expressions that simplify to zero are:

8g – 8g

5g + (–5g)

Negative two-thirds g + two-thirds g

Let us consider each of the expressions to determine the ones that simplify to zero (0)

For 8g - 8g

This is a direct subtraction of terms of the same value. Therefore, 8g - 8g = 0

For (–2g) – 2g

This can be further simplified as -2g - 2g = -4g

Therefore, (–2g) – 2g does not simplify to zero

For One-half g + one-half g

This can be written mathematically as:

[tex]\frac{1}{2}g + \frac{1}{2}g = g[/tex]

Therefore, One-half g + one-half g does not simplify to zero

Negative two-thirds g + two-thirds g

[tex]-\frac{2}{3}g+ \frac{2}{3}g = 0[/tex]

Therefore, Negative two-thirds g + two-thirds g simplifies to zero

Learn more here: https://brainly.com/question/25702685

Answer:

A , C , E :)

Step-by-step explanation:

Answer:

im pretty sure its 4!

Step-by-step explanation:

56/4=14

92/4= 23

and i dont think there are any greater numbers that factor into both 56 and 92

hope this helps!

Answer:

4

Step-by-step explanation:

1) Draw factor trees - split numbers into smaller numbers, circle any prime numbers

2) Draw a venn diagram

3) Any circled prime numbers that are the same go in the middle column.

4) Any remaining numbers go in the left or right circle.

5) GCF = multiply everything in middle column.

Hope this made sense! <3

Hi there!

We can find the percentage by expressing the amount of oranges to total fruits as a fraction:

[tex]\text{ oranges to total fruit} = \frac{\text{x Oranges}}{\text{ y total pieces of fruit}}[/tex]

Plug in the given values:

[tex]\text{ oranges : total fruit} = \frac{\text{6}}{\text{15}} = 0.4[/tex]

Convert to a percentage by multiplying by 100:

0.4 × 100 = 40%.

[tex]\boxed{\text{40\% of total pieces of fruit are oranges}}[/tex]

Answer:

(4, 4)

Step-by-step explanation:

y = 7/4 x - 3       graph (0, -3) (2, .5), (4, 4) (8, 11).  Draw the line

y = x                        graph (0,0)  (2, 2), (4, 4) , ( -2, -2).  Draw the line

The two lines intersect at point (4, 4)

Answer:

X = -4, Y = 3

Step-by-step explanation:

x * y = -12

x + y = 1

X = 4, Y = -3

NO TIME TO EXPLAIN

Answer:

so I'm guessing you're solving for x

because angle 2 is the vertical angle to angle 3 so this means that they are congruent

4x-26=3x+4

4x-3x=4+26

x=30

Answer:

-3

Step-by-step explanation:

Using the remainder and the factor theorem

5⁰-4

1-4

-3

Answer:

approx 161.3 square units

Step-by-step explanation:

the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7

these four triangles would produce a square with sides of 12.7 units

so area would be 12.7² or approx 161.3 square units

Answer:

Step-by-step explanation:

1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation

I'm not sure what kind of response this question is seeking.  I can only write:

1.) The graph of y = -7x - 10 is a linear equation that shows the  ?  slope and y-intercept to the equation

I don't think these are the answer sought, but it's the best I can think of at the moment.

2.) find the slope a y-intercept of y=(-7x)-10

The slope is -7 and the y-intercept is -10.

The initial cost is $12 to enter.

Each ticket is $.50

we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;

70 x .50 = 35

Therefor including the entry fee, it would cost $35 + $12

Which is $47

I hope this helps! :)

Answer:

19

Step-by-step explanation:

because it alternate with A

Answer:

5.52

Step-by-step explanation:

1.68/1.4=1.2*4.6=5.52

Answer:

25

Step-by-step explanation:

Answer:

a) 92 m

b) 74 cm

Step-by-step explanation:

a)

2(length) + 2(width) = perimeter

2(x) + 2(73) = 330 m

2x + 146 = 330

2x = 184

x = 92 m

b)

length * width = area

85 * x = 6290 cm²

85x = 6290

x = 74 cm

Answer:

THE ANWSER IS A

Step-by-step explanation:

YOU JUST DEVIDE THE REGULAR FRACTION AND PUT IT IN ORDER FROM THERE

Answer:

0.2,0.3,0.11,0.12

hope that helps

Answer:

0.11, 0.12, 0.2, 0.3

Step-by-step explanation:

Since the numbers are decimals, you can add as many zeros to the end of the numbers to make it easier. In this problem, add a zero to the end of 0.2 and 0.3, making them 0.20 and 0.30. This should make it easier. When you list the decimals from least to greatest, you should get 0.11, 0.12, 0.2, 0.3

I hope this helps!

Answer:

  £5.20

Step-by-step explanation:

The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.

  change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20

Erin gets £5.20 in change.

Answer:

your friend has 6 more marbles

Step-by-step explanation:

7×2=14

10×2=20

20-14=6

Answer:

6

Step-by-step explanation:

First you multiply 7 by 2 because there is 2 marbles in each bag and there is 7 bags so that is 14 marbles

Then you multiple 2 by 10 because there is 10 bags with 2 marbles each which is 20.

20-14=6

Can I get brainliest?