IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean

Answers

Answer 1

Answer:

(a) The difference between Kate's IQ and the mean is 21

(b) The z score is 1.4

Step-by-step explanation:

Here is the complete question:

IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean (b) Convert Kate's IQ score to a z score.

Step-by-step explanation:

(a) To determine the difference between Kate's IQ and the mean, this can be done by subtracting the mean from Kate's IQ.

Mean = 100

Kate's IQ = 121

Difference between Kate's IQ and the mean = 121 - 100 = 21

Hence, the difference between Kate's IQ and the mean is 21.

(b) To convert Kate's IQ score to a z score,

z score is given by the formula

[tex]z =\frac{x - \mu}{\sigma}[/tex]

Where [tex]x[/tex] is the score

[tex]\mu[/tex] is the mean

and [tex]\sigma[/tex] is the standard deviation

From the question,

[tex]x[/tex] = 121

[tex]\mu[/tex] = 100

[tex]\sigma[/tex] = 15

Then, the z score is

[tex]z =\frac{x - \mu}{\sigma}[/tex]

[tex]z =\frac{121 - 100}{15}[/tex]

[tex]z =\frac{21}{15}[/tex]

[tex]z =\frac{7}{5}[/tex]

z = 1.4

Hence, the z score is 1.4.


Related Questions

The debate team participated in 18 debate it won twice as often as it lost how many times did it win

Answers

it won 12 times. 18 divided by 3 is 6, add six to six and you get 12 :)

is 1/5 a repeating decimal​

Answers

Answer:

o.2222

Step-by-step explanation:

just divide one by five

hope that helps

The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) you watch a roulette wheel spin 5 times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot the next spin? b) you watch a roulette wheel spin 330 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?

Answers

Answer:b

Step-by-step explanation:

can someone tell me whats the different between 4.091 and 2.174

Answers

Answer:

1.917

Step-by-step explanation:

The difference between 4.091 and 2.174 will be;

⇒ 1.917

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The numbers are,

⇒ 4.091 and 2.174

Now,

Since, The numbers are,

⇒ 4.091 and 2.174

Hence, The difference the number 4.091 and 2.174 is,

⇒ 4.091 - 2.174

⇒ 1.917

Thus, The difference between 4.091 and 2.174 = 1.917

Learn more about the subtraction visit:

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Find X and Y in the figure

Answers

Answer:

x = 15

y = 19

Step-by-step explanation:

(5x-5) = (4x+10) reason[ being corresponding angle]

or, 5x-4x = 10+5

or, x = 15.

Similarly,

(5x-5)+(6y-4) = 180 reason[being supplementary angle]

putting the value of x in the equation, so

or, (5*15 -5)+(6y-4) = 180

or, 75-5+6y-4 = 180

or, 66+6y = 180

or, y = 30-11

or, y = 19.

Inequalities equation

Answers

Answer:

y≤9.45

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

0.37037y≤3.5

Step 2: Divide both sides by 0.37037.

0.37037y/ 0.37037 ≤  3.5 /0.37037

So when we do the division we end up with the answer being -

Y≤  9.45

Hope this helps-

Sleepy~

Which one would the equation be?

Answers

Answer:

a. [tex] y = \frac{2}{5}x - 6 [/tex]

Step-by-step explanation:

The slope-intercept form of equation of a line is given as [tex] y = mx + b [/tex]. Where,

m = slope

b = y-intercept.

Rewrite the equations, [tex] 2x - 5y = 12 [/tex] and [tex] 4y + 24 = 5x [/tex], in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.

[tex] 2x - 5y = 12 [/tex]

[tex] 2x - 12 = 5y [/tex]

Divide both sides by 5

[tex] \frac{2x - 12}{5} = \frac{5y}{5} [/tex]

[tex] \frac{2x}{5} - \frac{12}{5} = y [/tex]

Rewrite

[tex] y = \frac{2x}{5} - \frac{12}{5} [/tex]

The slope of [tex] 2x - 5y = 12 [/tex] is ⅖.

[tex] 4y + 24 = 5x [/tex]

[tex] 4y = 5x - 24 [/tex] (subtraction property of equality)

Divide both sides by 4

[tex] \frac{4y}{4} = \frac{5x - 24}{4} [/tex]

[tex] y = \frac{5x}{4} - \frac{24}{4} [/tex]

[tex] y = \frac{5x}{4} - 6 [/tex]

The y-intercet of [tex] 4y + 24 = 5x [/tex] is -6

Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

[tex] y = mx + b [/tex]

Plug in the values of m and b

[tex] y = \frac{2}{5}x + (-6) [/tex]

[tex] y = \frac{2}{5}x - 6 [/tex]

how do i find the square root of pi

Answers

Answer:

3.141592654...

Step-by-step explanation:

it just keeps going and going and never stops.

please give me brainliest

-50<7k+6<-8 show the steps

Answers

Answer:

-8 is less than k is less than -2

Step-by-step explanation:

I think we are trying to find k

-50 is less than 7k+6 is less than -8

-6                           -6                     -6

-56 is less than 7k is less than -14

-56/7 is less than 7k/7 is less than -14/7

-8 is less than k is less than -2

Hope this helps!

Answer:

Step-by-step explanation:

-50 - 6 < 7k < -8-6

 -56 < 7k < -14

   -8 < k < -2

Please helpppp need this done right nowwwe

Answers

Answer:

1. Given

2. Similar Lines(given in diagram)

3. Vertical Angles

4. SAS(or Side-Angle-Side)

Step-by-step explanation:

1 is given because that is whats given to you.

2 is Similar Lines because, on the diagram, when a line has a small dash on it and another line has the same dash, this means that they are similar.

3 is Vertical Angle because a vertical angle is an angle that is reflective of another angle and, according to the Vertical Angle Theory, all vertical angles are equal.

4 is SAS because you always go counterclockwise on the triangle when finding the congruent abbreviation and her you can see it is Side(LN=NW), Angle(LNS=WNK), Side(SN=NK).

What is the distance of Point A (4-i) from the origin of the complex plane?


Square root of 15

15

Square root of 17

17

Please someone help I will rate 5 stars

Answers

Answer:

1st im not sure

.

.

.

.

.pls rate 5 stars

What is the value of x?

Answers

Answer:

x=35

Step-by-step explanation:

A factory can produce 60 TVs in 7 days. How long does it take to finish 400 TVs?

Answers

Answer:

57.12, but being precise and accurate, you might wanna put 58.

Step-by-step explanation:

So, there's this guy, his name is calculator.

Which one is non linear

Answers

Answer:

c

Step-by-step explanation:

it has a fraction with the variable next to it

Answer:

b

Step-by-step explanation:

you have a plate with 83 brownies on it you just saw your friend take 62 brownies from the plate how many are left on the plate?

Answers

Answer:

21 brownies

Step-by-step explanation:

Answer:

21 brownies.

Step-by-step explanation:

83 - 62 = 21

So there are 21 brownies left on the plate.

Hope I helped :)

Please consider Brainliest :)

You've w How many solutions does this equation have? 10y = 10y - 2
no solution
one solution
infinitely many solutions​

Answers

Answer:

  no solution

Step-by-step explanation:

Subtract 10y from both sides of the equation:

  10y -10y = 10y -10y -2

  0 = -2 . . . . FALSE

There are no values of y that will make this be true. The given equation has NO SOLUTION.

what is 4/3 divided by 5/3

Answers

Answer:

4/5

Step-by-step explanation:

4/3 ÷ 5/3

Copy dot flip

4/3 * 3/5

Rewriting

4/5 * 3/3

4/5

Answer:

Step-by-step explanation:

The answer is 0.8

Hello i was doing a math problem and i was wondering if this is correct

Answers

Answer:

yes it is correct!

Step-by-step explanation:

Jay bought a laptopcomputer on sale
for 15% off the original price. If he paid
$170, what was the price of the laptop
computer before the sale?

Answers

Answer:

$200

Step-by-step explanation:

%15 = 0.15

0.15 • 200 = 30

200 - 30 = 170

what is 9/12 + 69??????????????????????

Answers

Answer:

69.75.

I'm just going to type filler text so Brainly accepts it.

Answer:

Step-by-step explanation:

Exact Form:

279/4

Decimal Form:

69.75

Mixed Number Form

69 3/4

What graph would it be?

Answers

I think it's A :)))

..........

Which is the smallest number 0.9, 0.899 , 0.0999, 0.909, 0.09 , 0.9009

Answers

Answer:

0.0999 hope it will help you

The ratio of boys to girls in a group is 5:1 if there are 60 more boys than girls work out how many people there are in total

Answers

Answer:

90.

Step-by-step explanation:

If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.

As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.  

So x = 1/6(2x + 60)

x = 1/3x + 10

2/3 x = 10

x = 10*3/2 = 15.

So the total number of people = 2(15) + 60 = 90.

Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?​

Answers

Answer:

150

Step-by-step explanation:

3 + 7 + 10 + 30 +100

Answer: the answer is $150.00 or $7.00

Step-by-step explanation:

$150.00 if you want to know how much you had in all

but if your talking about how much you had before it would be $7.00

Does this equation represent a function?
Answer Yes

Answers

Answer:

yes

Step-by-step explanation:

ur welcome

brainliest pls

xd

If f(x) = 5x - 6, which of these is the inverse of f(x)?
O A. f'(x) = 5 +6
O B. :'(x)= -6
C. F'(x) = *+6
+ LO
X-6
O D. 8'(X) = *

Answers

Answer:

A

Step-by-step explanation:

Because subtraction and addition are alike just how multiplication and division are.

The inverse of f(x) is (x+6)/5, the correct option is A

What is inverse of a function?

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

Given;

f(x) = 5x - 6

f^-1 (x ) = x+6/5

Let, y = f(x) and rearrange making x the subject;

y = 5x - 6 ( add 6 to both sides )

y + 6 = 5x ( divide both sides by 5 )

x = (y+6)/5

Change y back into terms of x

x  = (x+6)/5

Therefore, the answer in inverse will be (x+6)/5

Learn more about inverse function here:

https://brainly.com/question/19425567

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What's the lateral area of the following cone?​

Answers

Answer:

Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder. So, the formula for the lateral surface area of a right cone is L. S. A=πrl , where l is the slant height of the cone .

Step-by-step explanation:

I tired??? sorry if it's wrong???

pls help, will mark brainly

Answers

Answer:

Step-by-step explanation:

Another way to state it is to say that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If you put the two shortest sides end to end, they have to be longer than the longest side to be able to angle up to form a triangle.

Answer:

3. 3, 5, 7

4. 1.1, 2.2, 3.2

5. 13, 5, 12

7. 5, 4, 3

8. 4, 4, 3

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

1. 19, 16, 3

16 + 3 = 19

No triangle

2. 1, 2, 3

1 + 2 = 3

No triangle.

3. 3, 5, 7

3 + 5 = 8 > 7

3 + 7 = 10 > 5

7 + 5 = 12 > 3

Triangle

4. 1.1, 2.2, 3.2

1.1 + 2.2 = 3.3 > 3.2

2.2 + 3.2 = 5.4 > 1.1

1.1 + 3.2 = 4.3 > 2.2

Triangle

5. 13, 5, 12

13 + 5 = 18 >12

5 + 12 = 17 > 13

13 + 12 = 25 > 5

Triangle

6. 1, 7, 8

1 + 7 = 8

No triangle.

7. 5, 4, 3

5 + 4 = 9 > 3

4 + 3 = 7 > 5

5 + 3 = 8 > 4

Triangle.

8. 4, 4, 3

4 + 4 = 8 > 3

4 + 3 = 7 > 4

Triangle.

Write an equation of the line that passes through (2, -1) and (-3, 3)

Answers

Is there any graph, or is that all the question is asking?

Round 683,492 to the nearest hundred thousand.

Answers

Answer:

700,000

Step-by-step explanation:

you need to look at the ten thousands and look at the number if it is past 5 you round up.

683,492 rounded to the nearest hundred thousand is 700,000. Hope this helps !
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