On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
the test and the average fell to 98.04. What is their IQ?

Answers

Answer 1

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score s. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for s:

[tex]\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5[/tex]

Let's call the score of the reality TV star r. If we add their score to the set, we now have 12 scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

[tex]\dfrac{1116.5+r}{12}=98.04[/tex]

We can now solve for r algebraically, first by multiplying both sides by 12:

[tex]1116.5+r=98.04(12)\\1116.5+r=1176.48[/tex]

And then subtracting 1116.5 from both sides:

[tex]r=1176.48-1116.5\\r=59.98[/tex]


Related Questions

how do i find the yield percentage?

Answers

Answer:

First make sure the both weights have the same units.

Take your experimental yield and divide it by the theoretical yield.

Multiply this value by 100 to find the percent yield.

h - 53 = 25 and
c -72 = 34
please i need help

Answers

Answer:

h=78

c=106

Step-by-step explanation:

Answer:

h = 78

c = 106

Step-by-step explanation:

h - 53 = 25

h = 25 + 53

h = 78

c - 72 = 34

c = 34 + 72

c = 106

PLEASE ANSWER FAST.
I HAVE BEEN SO CONFUSED!? :(
A cone is placed inside A cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so it’s peak touches the edge of the cylinders base. What is the volume of the space remaining in the cylinder after the cone is placed inside it?

Answers

140 volume of space remain

Samuel is offering a pair of boots with an original price of $80.Store A is offering a 25% discount off the original price of all boots. StoreB is offering a $10 discount off the original price of all boots.

Answers

B. Samuel will pay will 10 dollars less if he buys the boots from store A.

(−1)^3⋅(−1)^2
simplify

Answers

Answer:

Step-by-step explanation:

(-1)³·(-1)² = (-1)·(1) = -1

Alternatively,

(-1)³·(-1)² = (-1)³⁺² = (-1)⁵ = -1

A line contains the points (-2, -8) and (3, 5). What is the slope of the line?
A. 13/5
B. -5/13
C. 5/13
D. -13/5

Answers

Answer:

Step-by-step explanations

A.13/5

At Stater Brothers there is a gallon of ice cream for $4.75 it is on sale for 15%
off. How much is the price of the ice cream after the sale?
How much was saved?

Answers

Answer:

Price after sale: $4.04

$0.71 saved

Step-by-step explanation:

What are the x-intercept and y-intercept for this line: 5x − 3y = 15

Answers

Answer:

5x + 3y = 15 are (3,0) and (0,5).

Step-by-step explanation:

To learn how to find the x intercept, we will change the y for 0 and solve for x.

What is the sum of the polynomials ​

Answers

Answer:

it's B

4m-24n+3

Step-by-step explanation:

photo math

Pete has an old playstation that he bought for $400.
The playstation depreciates by 30% each year

Answers

Answer:

1 year= $280

Step-by-step explanation:

30% of 400= 0.3 * 400= 120

400-120= 280

after one year the playstation cost 280

30% of 280= 0.3 * 280= 84

280-84= 196

after 2 years it cost $196

multiply the number by 0.3 to get 30% of the total

 

Yes the boy or a girl on top is absolutely right you’re welcome:)

Can someone please solve this for me?

416 ÷ 652

Show your work and I'll give brianliest

Answers

Answer:  0.63803681

Step-by-step explanation:

652/416 simplified= 163/10

then just divide bc its easier.

hope it helped :))

Answer:

0.63803680981

Step-by-step explanation:

First, you can see there is no way to divide 652 into 416. So, you need to add a decimal to 416. Then, you would multiply 652 by 6 and get 3912. You subtract 3912 by 4160 and get 248. Then, you add a 0 to that number. And then, you would keep repeating the steps. Decimal, multiply, subtract.

Choose True or False for each statement.

58.07 > 58.4

Choose...



29.6 = 29.600

Choose...



140.23 < 140.203

Choose...



108.505 > 108.5

Choose...

Answers

Answer:

58.07 > 58.4 is false.

29.6 = 29.600 is true.

140.23 < 140.203 is false.

108.505 > 108.5 is true.

What the first guy said he is right

can anyone solve this equation? (pls I really need it now)
a(x-b)=X

Answers

Answer:49

Step-by-step explanation:

Answer:

Solving for x: x= - ab/(1-a)

Solving for a: a= x/(x-b)

Solving for b: b=-x(1/a-1)

Need answer ASAP please help!

Answers

9514 1404 393

Answer:

  31 square inches

Step-by-step explanation:

You can divide the shape into pieces several ways. The total area will be the sum of the areas of the pieces.

If we draw a horizontal line across the figure 2 inches up from the bottom, the figure is divided into a triangle and two rectangles.

The triangle has a base of 8 -3-2 = 3 inches, and a height of 4 -2 = 2 inches. Its area is ...

  A = (1/2)(3 in)(2 in) = 3 in²

The rectangle below the line has a base of 8 inches and a height of 2 inches. Its area is ...

  A = bh = (8 in)(2 in) = 16 in²

The rectangle above the line has a base of 3 inches and a height of 4 inches. Its area is ...

  A = bh = (3 in)(4 in) = 12 in²

Then the total area of the figure is ...

  (3 + 16 + 12) in² = 31 in² . . . . the area of the figure

Which scatterplot shows the correct division for using the Area Method to draw the trend line?

Answers

Answer:

A

Step-by-step explanation:

Got it right

The correct division for using the Area Method to draw the trend line is shown by Option A.

What is a Scatter Plot ?

A scatter plot is the plot that consists of data that is randomly spread and doesn't have a fixed pattern , A trend has to be determined from the data to understand the pattern.

The given scatter plot shows an upstream and a downstream , The correct division will be from the point where it start following a fixed pattern , Which is in the Option A attached.

Therefore The correct division for using the Area Method to draw the trend line is shown by Option A.

The missing Options are attached with the answer

To know more about Scatter Plot

https://brainly.com/question/13984412

#SPJ2

A right triangle has a side length of 15 feet and a hypotenuse of 17 feet. What is the length of the missing leg? Round to the nearest tenth if necessary.

Answers

Answer:

the correct answe is the othe leg is 12 cm long.

Answer:

8 feet

Step-by-step explanation:

using the Pythagorean theorem:

17^2 = 15^2 + X^2

289 = 225 - X^2

X^2 = 64

X = 8 feet

Please help :) I'm confused on this question.

Answers

This may be wrong since I don’t know exactly what lesson you’re learning, but I believe it would be:

0+3

3

3-4

-1

Hope this helped!

what is the answer and how​

Answers

the temperature at 9pm was -4° because the hottest temperature was 12° and then at 9pm the temperature dropped 16° which means the temperature was -4°

Answer:

-4°

Step-by-step explanation:

4 + 8 = 12

12 - 16 = -4

The temperature was -4 at 9pm

a man uses 1/8 of his salary after tax on house rent, and a 3/5 on transport, food and other household items.
He then reserves 5/8 of the remainder on leisure and incidentals while saving the rest. if he saves$37135 every month. How much is his salary after tax.( round to the nearest whole number)​

Answers

Answer:

let x be his salary after tax

house rent=1/8x

transport, food,=3/5x

total expenses, =1/8x + 3/5x

                          =29/40x

remainder amount =(x - 29/40x) = (1 - 29/40)x

leisure and incidentals,=5/8(1 - 29/40)x

amount saved = $37135

hence, the equation for his salary after tax is;

x = (29/40x) + 5/8(1 - 29/40)x + 37135

x = (29/40x) + (5/8x) - (29/64x) + 37135

x = (287/320x) + 37135

x - 287/320x = 37135

    33/320x = 37135

                x = 360096.97

to the nearest whole number, his salary after tax is $360097

Step-by-step explanation:

first represent his salary after tax by a variable

add the two expenses to get the total amount spent

substract the total amount spent from the variable to get the remainder

now fine 5/8 0f the remainder to get the amount spent on leisure and incidentals.

note that there was am amount that he saved.

base on this, we can now express an equation in terms of "

x" to calculate for his salary after tax  

Find x plss:))))))))

Answers

Answer:

180 - 90 = 90

half of 90 = 45

40 and 50??

Step-by-step explanation:

i believe 45 degree angle because if u edit the photo to both it will both equal a right angle

if 1/2x + 3 = 3/4 - x, what is the Value of x? ​

Answers

Answer:

x=-2/9

Step-by-step explanation:

Aɴsᴡᴇʀ

☞︎ -9/2

Sᴛᴇᴘ ʙʏ sᴛᴇᴘ sᴏʟᴜᴛɪᴏɴ

☞︎ 1/2x + 3 = 3/4

x/2 = 3/4 - 3

x/2 = 3-4(3)/4

x/2 = 3-12/4

x/2 = -9/4

x = -18/4

x = -9/2


—————Finish—————

What is 5/8 divided by 1/4
001
001
00
100
001
00
001
IN
A
0 1

Answers

Answer:

Exact form: 5/2

Decimal form: 2.5

Mixed number form: 2 and 1/2

Step-by-step explanation:

when you divide a fraction you keep, change, flip

Equation: 5/8 ÷ 1/4

keep 5/8 the same

change the divide symbol into a multipulcation symbol

flip 1/4 the other way, so it's 4/1 (it's a whole number now)

then just multiply across

Equation now: 5/8 × 4/1

How many times larger is 9 x 10^4 than 3 x 10^2?

Answers

Answer: [tex]300[/tex] [tex]times[/tex]

Step-by-step explanation:

Please help me with this question

Answers

Answer:

10 i think

Step-by-step explanation:

theres 10 x's

Answer:

10?

Step-by-step explanation:

i just counted the x's

Find the area of the circle. Round your answer to the nearest hundredth.

Answers

Answer:

176.71^2 in

Step-by-step explanation:

yeh

-2(x + y)2 for for x =-3, y = 2 with steps

Answers

Step-by-step explanation:

-2(-3+2)2

(-2×-3)+(-2×2)2

(6-4)2

2(6-4)

(2×6)+(2×-4)

12-8=4

a rectangular room has an area of 131.25 square feet. The length of the room is 12.5 feet. what is the width, in feet, of the room?​

Answers

Answer:

10.5 i think

Step-by-step explanation:

a number w decided by 5 equals 6​

Answers

Answer:

You write the question wrong but it's okay

Step-by-step explanation:

it will be 30

i hope my answer help you

Answer:

30

Step-by-step explanation:

equation:

[tex]\frac{w}{5} = 6[/tex]

multiply 5 on both sides:

[tex]\frac{w}{5}[/tex] x 5 = 6 x 5

x = 30

Help me with this question please!,! (3/3)

Answers

Answer:

The first one = add three matches to the right side(on horizontal, two that or on top and bottom vertically.)

Second: Start with 5, and keep adding 3 until 26. 5 + 3+3+3+3+3+3+3

Or (26-5)/3 = 21/3 = 7

7 additions are needed so 7+1 = 8

Third: I believe you can answer this with this info

Step-by-step explanation:

ther are 9 thirds in 3 ones a multiply and divide equashon

Answers

Answer:

That is a division equation.

Step-by-step explanation:

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