The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 50 public accounting firms with 10 or fewer employees in the Dallas-Fort Worth area. The following frequency table reports the results of the study. Estimate the mean and the standard deviation.

Number of Clients

Frequency

20 up to 30

1

30 up to 40

15

40 up to 50

22

50 up to 60

8

60 up to 70

4

Answers

Answer 1

Answer:

44.80

9.27

Step-by-step explanation:

From the data:

Midpoint (x) : __ 25 _ 35 _ 45 _ 55 _ 65

Frequency (f) : _ 1 __ 15 __ 22 _ 8 __ 4

The mean (m):

Σfx / Σf

[(25 * 1) + (35* 15) + (45 * 22) + (55 * 8) + (65 * 4)] / (1 + 15 + 22 + 8 + 4)

= 2240 / 50

= 44.80

Standard deviation :

Sqrt[(Σ(X² * f) / Σf) - m²)]

[(25^2 * 1) + (35^2 * 15) + (45^2 * 22) + (55^2 * 8) + (65^2 * 4)] / (1 + 15 + 22 + 8 + 4)

(104650 / 50) - (44.80²)

1908.51 - 44.80^2

2093 - 2007.04

Sqrt(85.96)

= 9.27


Related Questions

I need help with these two question help me ASAP........

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Yes it is by 20 each year

It’s 1:00 pm and I haven’t finish my homework plz helpp

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Answer:

Concept: Vectors

The line demonstrates a 90 degree angle Hence they are Perpendicular by geometric qualitiesGive brainlist

Answer:

Omg...so complete fast......

A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter.
In your textbook pg. 111, scale the vertical and horizontal axes by labeling each grid line with a number. You will need to use the time and distance information in the tick-mark diagrams.

Which line shows the ladybugs movement? The ant?
Unit rate for the Ladybug? The ant?
How long does it take for the ladybug to travel 12 cm? The ant?

Answers

Answer:

From the graph we can say that ant is moving faster than the ladybug

Slope of the ant's movement will be steeper than the ladybug

Hence, line "v" denotes the speed of ant and line "u" denotes the speed of ladybug.

Unit rate/slope of the graph is (distance traveled/elapsed time)

Unit rate of ant is 3/2 cm/sec and that of ladybug is 1 cm/sec.Ant takes (12×2/3) = 8 sec and ladybug takes (12×1) = 12 sec to travel 12 cm.

Remember ant will take less time to travel a certain distance than ladybug.

Write an expression to explain the following word problem: Jeremy elimbed
25 feet up the mountain while Jessica olimbed 32 and a half feet up the
mountain higher than Jeremy

Answers

Answer:

Jessica = J(Jeremy)+32.5

Step-by-step explanation:

Jessica equals Jeremy + 32.5 feet.

Hope this helps, have a great day! :D

–2z − 7 need this done now

Answers

Answer:

the value of the z is -3.5

Step-by-step explanation:

According to the question, the following information is given

-2z - 7

Based on the above information

We assume that we have to determine the z value

so

-2z - 7 = 0

-2z = 7

z = 7 ÷ -2

= -3.5

Hence, the value of the z is -3.5

The same is to be considered and relevant too

out of 50 flags, 35 are triangular and of the remaining 15 some are rectangular and some are pentagonal. Satish chooses one flag randomly from all 50. Estimate the highest probability is that he picks which flag

Answers

Answer:

triangular

Step-by-step explanation:

triangular flags have a probability of 35/50, so it's the highest.

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sales dollars that she makes. What are Elena’s earnings for a month in which she has sales of $32,000?

Answers

Answer

4060 Dollars

Here's why this is correct

and if Elena gets a base pay of $1,500 per month, then we add 8% of the total sales, ($32,000) and 8% of 32,000 is $2,560.

8% of 32,000 = 2,560

So we add $2,560 by $1,500 and we get 4060 Dollars.

Hope this helps! <3

what is equivalent to 2/3 divided by 5/6

Answers

Answer:

the answer is 4/5

Step-by-step explanation:

2/3 times the reciprocal of 6/5 and then that will give you 4/5

The histogram gives information about a fitness club

Answers

Answer:

a)

b) 99

Step-by-step explanation:

i'm not sure about a

but for b i got 99 members

Which of the following represents a function? OA X -5-1 9 8 -1 y 1 7 23 17 1 B. y NS x -4 NO 4 C. {(0,1),(3,2), (-8,3), (-7,2), (3,4)} D. -4 5 9 3 13​

Answers

Given:

The different relations in the options.

To find:

The relation which represents a function.

Solution:

A relation is called a function if there exist a unique output (y-value) for each input (x-value).

In option A, there exist two outputs y=7 and y=1 for a single input x=-1. So, this is not a function.

In option B, there exist two outputs y=-5 and y=2 for a single input x=-1. So, this is not a function.

In option C, there exist two outputs y=2 and y=4 for a single input x=3. So, this is not a function.

In option D, there exist only one value of y for each x. So, this is a function.

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

you probalby just want the answer

Find the area of the parallelogram shown below.
7
5
6
square units

Answers

Answer:

35

Step-by-step explanation:

A=bh=7*5=35

base= 7

height= 5

the formula is bh so you just multiply them and that's the area

Answer:

35 Sq. Units

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

help now plsssssssss!!!

Answers

Answer:

5

Step-by-step explanation:

Descefdsvxerdazdxsazd4r

Translate this verbal expression to an algebraic expression.

Two times the sum of x and 10.




A 2(x - 10)

B 2x + 10

C 2(x + 10)

D 2 + x + 10

Answers

C. 2(x+10) is the correct answer

Answer:

C.

Step-by-step explanation:

It's c because you need the sum of x and 10 but both multiplied by 2. So it wouldn't be A nor B because they are both subtracting. That would leave you with C and D and d doesn't have anything to do with multiplying. I dunno made sense to me.

The population standard deviation for the height of college basketball players is 2.9 inches. If we want to estimate a 99% confidence interval for the population mean height of these players with a 0.45 margin of error, how many randomly selected players must be surveyed

Answers

Answer:

276

Step-by-step explanation:

Given :

Standard deviation (σ) = 2.9 inches

Error margin (E) = 0.45

Confidence interval = 99%

Using the relation to obtain the sample size (n)

n = [(Zcrit * σ) / E]²

Zcritical at 99% confidence interval = 2.576

n = [(2.576 * 2.9) / 0.45]²

n = [7.4704 / 0.45]²

n = 16.600888^2

n = 275.58951

n = 276 samples

Sample size

Find missing Heights

Answers

Answer:

15 feet. 10 plus 15=25 s0 therefore it is 15

PLEASE HELP I DONT WANT TO FAIL

Answers

I believe they are similar figures.

Answer:

1

Step-by-step explanation:

12/8=1.5

15/10=1.5

1.5/1.5=1

Write an equation of the line passing through the point (1,5) that is parallel to the line y= -3x+5

Answers

Answer:

y=-3x+8

Step-by-step explanation:

y=mx+5, m=-3, x=1, y=5

5=(-3)(1)+b

5=-3+b

8=b

The variable s varies directly as the square of t. When s = 4, t = 12. Nick’s work finding the value of t when s = 48 is shown:

What is the first error, if any, in Nick’s work?

See in pic:

Answers

Answer:

C - He substituted incorrectly when calculating the constant of variation.

The first error, in Nick’s work is given inn option C, i.e. He substituted incorrectly when calculating the constant of variation.

What is constant of variation?

Constant of variation is the ratio between two variables in a direct variation or the product of two variables in an inverse variation.

We have,

s = 4, and t = 12

Now according to the question,

The variable s varies directly as the square of t,

i.e.

s = kt²

So,

Substituting given values of s and t,

s = kt²

i.e.

4 = k × 12²

[tex]k = \frac{4}{144}=\frac{1}{36}[/tex],

Now,

for 48,

i.e.

s = kt²,

We get,

[tex]48 = \frac{1}{36} t^2[/tex],

i.e.

[tex]t^2=36 *48=1728[/tex]

[tex]t=\sqrt{1728} = \sqrt{3*576} =24\sqrt{3}[/tex]

So, this is the correct value for t.

Hence, we can say that the first error, in Nick’s work is given inn option C, i.e. He substituted incorrectly when calculating the constant of variation.

To know more about constant of variation click here

https://brainly.com/question/14254277

#SPJ2

a number has the same digit in its hundreds place and its hundredths place. how many times greater is the value of the digit in the hundreds place then the value of the digit in the hundredths place?

Answers

Answer:

The answer would be 1000.

Step-by-step explanation:

Im not completely sure if this is correct. but i hope it helps!

Have an amazing day!

Answer: it should be 1000

Order the following measures from least to greatest: 0.5 m, 30 in., 1.25 ft, 17 cm

Answers

Answer:

30 in, .5 m , 1.25 ft, 17 cm

Step-by-step explanation:

Answer:

17cm, 1.25 ft, 0.5 m, 30 inches

Step-by-step explanation:

I converted all of them to meters before deciding which one was least and which one was greatest.

Mrs. Rodriguez has a blueprint of her new house. The actual living room has a width of 20 feet and a length of 24 feet. If the scale used to make the blueprint is 12 inch = 4 feet, what is the length of the living room on the blueprint?

Answers

D) 6 in
Step-by-step explanation:
The length is 24 feet. The blueprint scales 1 ft : ¹/₄ in.
So, we can set up a proportion: 1 ft / ¹/₄ in = 24 ft / x in
Cross-multiply: 24 * ¹/₄ = x
Multiply: x = 6 in(brainlist?

A number increased by five is negative fifteen. What is the number?

Answers

Answer:

The value of the number is: n = -20

Step-by-step explanation:

Given

A number increased by five is negative fifteen.

To determine

What is the number?

Let 'n' be the unknown number.

''A number increased by five'' means we have to add 5 to the number.

i.e.

n+5

Also, it is stated that a number increased by five is negative fifteen.

Thus,

[tex]n+5=-15[/tex]

solving for n

[tex]n+5=-15[/tex]

Subtract 5 from both sides

[tex]n+5-5=-15-5[/tex]

Simplify

[tex]n=-20[/tex]

Therefore, the value of the number is: n = -20

Let f(x) be an exponential functionWhich transformations to the graph of f(x) would describe e - f(x - 3) ?

Answers

Look at the graph below carefully

Observe the results of shifting ={2}^{x}f(x)=2​x

​​  vertically:

The domain, (−∞,∞) remains unchanged.

When the function is shifted up 3 units to ={2}^{x}+3g(x)=2​x +3:

The y-intercept shifts up 3 units to (0,4).

The asymptote shifts up 3 units to y=3y=3.

The range becomes (3,∞).

When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 ​x​​ −3:

The y-intercept shifts down 3 units to (0,−2).

The asymptote also shifts down 3 units to y=-3y=−3.

The range becomes (−3,∞).

9514 1404 393

Answer:

reflection over the x-axistranslation up 'e' units and right 3 units

Step-by-step explanation:

The transformation ...

  g(x) = a×f(x-h) +k

performs a vertical stretch by the factor 'a', and a translation by (h, k), which is h units right and k units up. When 'a' is negative, there is a reflection over the x-axis.

Here, we have 'a' = -1, h = 3, k = 'e'. So, the graph of f(x) has been ...

  reflected over the x-axis

  translated right by 3 units

  translated up by 'e' units

__

Additional comment

We don't know if your 'e' is a typo. When talking about exponential functions, 'e' often refers to the base of natural logarithms, an irrational number approximately equal to 2.718281828459045...

Here's a graph of an exponential function transformed as you have indicated.

please help :) worth 10 points

Answers

what the other personnsaid is correct

Answer:

a. (0,3)

b. (-4,-3)

c. (-2,0)

d. (-1 1/3, 1)

e. (4,9)

f. (-3 1/3, -2)

Step-by-step explanation:

What is 7.44444444444 in fraction form

Answers

Answer:

186/25 i am pretty sure

Step-by-step explanation:

It’s 744444444444/100000000000 I think lol .

The Current Population Survey conducted by the Census Bureau records the incomes of a large sample of U.S. households each month. What will be the relationship between the mean and median of the collected data

Answers

Explanation:

There are 3 possible cases that describe the relationship between the mean and median of the collected data.

First case:

If the distribution is symmetric then, mean = median.

Second case:

For the positively skewed frequency distribution, the mean is greater than the median.

Third case:

For the negatively skewed frequency distribution mean is less than the median.

Help I don’t get this

Answers

Idaho, then Illinois, then Alabama, then Wyoming

which pair of of expressions are equivalent? A. 10(x+4) and 10x+14 B. 3(x+5) and 3x + 5 C. x+x+x+1+1+1 and 3(x+1) D. x+x+x+x+1+1+1+1 and 8x

Answers

Answer:

C. x+x+x+1+1+1 and 3(x+1)

Step-by-step explanation:

Algebraic Expressions

Some algebraic expressions are equivalent to others if the correct operations are done on them.

A. 10(x+4) must be operated by multiplying 10 by x and 10 by 4, thus:

10(x+4) = 10x + 40.

This choice is not correct

B. 3(x+5) must be operated by multiplying 3 by x and 3 by 5, thus:

3(x+5) = 3x + 15.

This choice is not correct

C. x+x+x+1+1+1 is equivalent to an expression where like terms are collected, that is. x+x+x=3x and 1+1+1=3, thus:

x+x+x+1+1+1=3x+3=3(x+1)

This choice is correct

D. x+x+x+x+1+1+1+1 in a similar way as explained above, like terms must be correctly collected: D. x+x+x+x=4x and 1+1+1+1=4, thus

D. x+x+x+x+1+1+1+1 = 4x+4 = 4(x+1)

This choice is not correct

If AUVW - ARST, what is the value of x?
Enter your answer in the box.
V
30
W
S
X
T
42
21
U
IR
X=
1

Answers

Answer: 15

Step-by-step explanation:

[tex]\dfrac{ST}{VW} =\dfrac{SR}{VU} \\\\ST=21\\VW=30\\SR=21\\VU=42\\\\\dfrac{x}{30} =\dfrac{21}{42} \\\\x \times 42=21 \times 30\\x \times 42=630\\x \times 42 \div 42=630 \div 42\\x=15[/tex]

You had $25 to spend on school lunches. After buying five of them, you have $15 left. How much did each lunch cost?​

Answers

each lunch costs $2 because 5 lunches times $2 equals $10

Answer:

2 each

Step-by-step explanation:

simple math

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