What is the standard deviation of the data set given below?
4, 7, 8, 9, 12
O A. -2.5
O B. 18.5
O c. 6.8
O D. 76.8
E. 2.5
O F. 8.5

Answers

Answer 1

Answer:

The answer is 2.6 but that's not listed as an option so try 2.5?


Related Questions

Use the interactive number line to find the sum.
-5.5 + 3.7 =​

Answers

Answer: -1.8

Step-by-step explanation:

Start at -5.5 and move the point on the number line up 3.7 spaces.

Hope it helps <3

Answer:

Your correct answer is -1.8

Step-by-step explanation:

−5.5 + 3.7

= −5.5+3.7

= −1.8

Which are correct representations of the inequalities 6x>3+4(2x-1)?
select three options.

Answers

1st 2nd and last

Step-by-step explanation:

simplify your inequality

6x >= 3 + 4(2x -1)

6x >= 3 + 8x - 4

2x >= 1

x >= 1/2

so indeed the

1st one , the 2nd and the last one

first, second, last

Hope it helps

Tickets for a concert were $5 for each child and $8 for each adult. At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult

Answers

What do you want answered ? I don’t see a question .

Please help I don't understand ​

Answers

Answer:

  £531.52

Step-by-step explanation:

We are given the profit in week 1 and information about week 2. We are asked for the difference between week 2 profit and week 1 profit.

__

In week 2, pizza is sold 4 ways. The diagram shows the numbers of pizzas sold each way. The table shows the profit made for each way the pizza was sold. We need to add up the profits from each of the sales to find the profit for week 2.

10-inch/normal price: profit = 407×£3.72 = £1514.0410-inch/offer price: profit = 358×(-£0.49) = -£175.4212-inch/normal price: profit = 169×£5.26 = £888.9412-inch/offer price: profit = 142×(-£0.04) = -£5.68

Then the total profit in week 2 is ...

  £1514.04 -175.42 +888.94 -5.68 = £2221.88

So, profit in week 2 exceeds profit in week 1 by ...

  £2221.88 -1690.36 = £531.52 . . . more profit in week 2

There are 6 different colored pens in a box. Each pen has a unique color. In how many orders can 4 pens be chosen? In other words, what is the number of permutations of picking 4 pens from the box?

Answers

Answer:

360 different permutations.

Step-by-step explanation:

It goes 6*5*4*3 because as you pick the pens the amount of pens in the jar would obviously decrease. Picking one leaves you with 5 new options. If you repeat that 4 times then you are left with 360 options.

The number of permutations of picking 4 pens from the box is 6P4, or 6!/(6-4)! = 654×3 = 360.

We have 6 pens and we are picking 4 of them. The order in which we pick the pens matters, so we are dealing with permutations.

The number of permutations of n objects is given by n!, or n factorial. So, the number of permutations of 6 objects is 6!.

However, we need to divide by the number of permutations of the 2 pens that we are not picking. There are 2 pens that we are not picking, so the number of permutations of those pens is 2!.

Therefore, the number of permutations of picking 4 pens from the box is 6!/(6-4)! = 654×3 = 360.

Learn more about permutations here: brainly.com/question/3867157

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Find the inverse of the function f(x) = 2x² - 3x NO ABSURD ANSWERS IF YOU DON't WANT YOURSELVES TO GET REPORTED!

Answers

Answer:

[tex]\boxed{f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-3x[/tex]

[tex]f(x)=y[/tex]

[tex]y=2x^2-3x[/tex]

Switch variables.

[tex]x=2y^2-3y[/tex]

Solve for y.

Multiply both sides by 8.

[tex]8x=16y^2-24y[/tex]

Add 9 on both sides.

[tex]8x+9=16y^2-24y+9[/tex]

Take the square root on both sides.

[tex]\sqrt{8x+9} =\sqrt{16y^2-24y+9}[/tex]

Add 3 on both sides.

[tex]\sqrt{8x+9}+3 =\sqrt{16y^2-24y+9}+3[/tex]

Divide both sides by 4.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{\sqrt{16y^2-24y+9}+3}{4}[/tex]

Simplify.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y-3+3}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}=y[/tex]

Inverse y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}[/tex]

Answer:

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Step-by-step explanation:

[tex] f^{-1}(x) = 2x^2 - 3x [/tex]

Change function notation to y.

[tex] y = 2x^2 - 3x [/tex]

Switch x and y.

[tex] x = 2y^2 - 3y [/tex]

Solve for y.

[tex] 2y^2 - 3y = x [/tex]

Complete the square on the left side. We must divide both sides by 2 to have y^2 as the leading term on the left side.

[tex] y^2 - \dfrac{3}{2}y = \dfrac{x}{2} [/tex]

1/2 of 3/2 is 3/4. Square 3/4 to get 9/16.

Add 9/16 to both sides to complete the square.

[tex] y^2 - \dfrac{3}{2}y + \dfrac{9}{16} = \dfrac{x}{2} + \dfrac{9}{16} [/tex]

Find common denominator on right side.

[tex] (y - \dfrac{3}{4})^2 = \dfrac{8x}{16} + \dfrac{9}{16} [/tex]

If X^2 = k, then [tex] X = \pm \sqrt{k} [/tex]

[tex] y - \dfrac{3}{4} = \pm \sqrt{\dfrac{1}{16}(8x + 9)} [/tex]

Simplify.

[tex] y = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Back to function notation.

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

A car rental agency advertised renting a car for $24.95 per day and $0.26 per mile. If Brad rents this car for 3 days, how many whole miles can he drive on a $200 budget ?

Answers

Answer:

481 whole miles

Step-by-step explanation:

Total cost would be 3 x 24.95 + 0.26m, where m is the miles driven.

Total cost has to be under or equal to $200, so

3 x 24.95 + 0.26m <= 200

74.85 + 0.26m <= 200     ( 3 x 24.95)

0.26m <= 125.15               ( subtract 74.85)

m <= 481.35                      ( divide 0.26)

481 miles, Have a good day!

Be nice and answer my question

Answers

Answer:

look below

Step-by-step explanation:

hi

Petroleum motor oil does a combination of natural oil and synthetic oil. It contains 5 L of natural oil for every 3 L of synthetic oil. In order to make 768 L of petroleum oil how many liters of natural oil are needed

Answers

Answer:

480 liters of natural oil

Step by step Explanation:

ratio of natural to synthetic oil

= 5:3

If 440 liters have to be made then,

Add 5 + 3 = 8

So, 5/8 of 768 liters will be = 480 liters of natural oil

and, 3/8 of 768 liters will be = 288liters of synthetic oil

Therefore, 480 liters of natural oil will be needed

Please answer this in two minutes

Answers

Answer:

m<B = 63.4°

Step-by-step explanation:

tangent = opposite ÷ adjacent

tan B = [tex]\frac{4}{2}[/tex]

tan B = 2

B = tan⁻¹ (2)

B = 63.4°

Hope this helps.

Help somebody please!!Thank you

Answers

The diagonal of the square is the same as the diameter of the circle.

So, the diameter of the circle is 36.

Circumference formula:

C = 2πr

To find the radius, we just need to divide the diameter by two:

36 / 2 = 18

Now, solve using the given values.

C = 2π(18)

C = 36π

Therefore, the answer is D.

Best of Luck!

FInd the Slope and y-intercept

3y-x=18

Answers

Answer:

The slope is 1/3 and the y intercept is 6

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

3y -x =18

Add x to each side

3y = x+18

Divide each side by 3

3y/3 = x/3 +18/3

y = 1/3x +6

The slope is 1/3 and the y intercept is 6

We need to solve for y (y = mx + b):

3y - x = 18

~Add x to both sides

3y = 18 + x

~Divide 3 to everything

y = 6 + x/3 or y = 6 + 1/3/x

So... 1/3 is the slope and 6 is the y-intercept.

Best of Luck!

A city has a population of 220,000 people. Suppose that each year the population grows by 7.25%. What will the population be after 13 years?

Answers

Answer: 546496.76

Step-by-step explanation:

Given the following :

Current population = 220,000

Population growth rate per year = 7.25%

Population size after 13 years =?

Using the compounding formula :

A = P(1 + r)^t

Where ;

A = final population size

P = current population size

r = growth rate

t = time or period

A = P(1 + r)^t

A = 220,000 ( 1 + 7.25/100)^13

A = 220,000 ( 1 + 0.0725)^13

A = 220,000 (1.0725)^13

A = 220,000(2.484076)

A = 546496.760

The population will be about 546,497 people

What is the slope of line m?

Answers

Answer:

2.

Step-by-step explanation:

The slope is calculated by doing rise over run.

The rise is: 6 - 0 = 6.

The run is: 0 - (-3) = 0 + 3 = 3.

6 / 3 = 2 / 1 = 2.

Hope this helps!

Please help me with this answer!! I am really stuck...No nonsense answers please.

Answers

Answer:

19

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< DBG = 1/2 ( DG)

< DBG = 1/2 ( 360 - BD - BG)

           = 1/2 ( 360 - 172 - 150)

           = 1/2 (38)

           = 19

James determined that these two expressions were equivalent expressions using the values of y=4 and yu 6. Which
statements are true? Check all that apply
7x+4 and 3x+5+4x-1
When - 2. both expressions have a value of 18.
The expressions are only equivalent for X-4 and X- 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When - 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if X-

Answers

Answer with explanation:

Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.

The two expressions are

1. 7 x +4

2. 3 x +5 +4 x =1

Adding and subtracting Variables and constants

→7 x +5=1

→7 x +5-1

→7 x +4

→ When x=2,

7 x + 4 =7×2+4

=14 +4

=18

So, Both the expression has same value =18.

→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.

Correct options among the given statement about the expressions are:

1.When x = 2, both expressions have a value of 18.

2.The expressions have equivalent values for any value of x.

3.The expressions have equivalent values if x = 8.

Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and leading coefficient. If the function is not a polynomial, state why. f(x)=x^4(2-x^3)+1

Answers

Answer:

The correct option is

This is a polynomial function of degree 7 with a leading coefficient of -1

Step-by-step explanation:

Functions that consist of a variable such as x raised to positive integer powers which are equal to or larger than zero added together to make the function are known as polynomial functions

Therefore, the function in the question which is f(X) = x⁴ × (2 - x³) + 1

Which can be expanded as follows

f(x) = 2·x⁴ - x⁷ + 1, which is the same as given as follow equation;

f(x) = -x⁷ + 2·x⁴ + 1

Which is  polynomial function with a leading coefficient of -1 as it consists of only whole number positive powers of x including the powers of x 4 and 7  

Therefore, the correct option is that f(x) is a polynomial function of degree 7 with a leading coefficient of -1.

The slope of the line below is 4 . Which of the following is the point slope form of that line ? ( top answer gets )

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 4 and (a, b) = (- 3, - 4) , thus

y - (- 4) = 4(x - (- 3)) , that is

y + 4 = 4(x + 3) → C

Find the probability of rolling a three first and then a ten when a pair of dice is rolled twice

Answers

Answer: 0.0046

Step-by-step explanation:

First, let's calculate the total number of outcomes that you can see from a pair of dice.

Each dice has 6 options, so the total number of combinations is:

6*6 = 36.

Now, the combinations that are equal to 3 are:

3 and 1

1 and 3

2 combinations.

So the probability is equal to the quotient between the number of combinations that are equal to 3, and the total number of combinations:

P = 2/36 = 0.055

Now, the combinations that are equal to 10 are:

5 and 5

4 and 6

6 and 4.

3 combinations.

Then the probability is:

P = 3/36 = 0.0833

Now, the probability of both events happening is equal to the product of the probabilities for each event, so the total probability is equal to:

P = ( 0.0833)*( 0.055) = 0.0046

how to do this question plz ​

Answers

Answer:

  x = 10

Step-by-step explanation:

Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.

  x² +(√200)² = (√300)²

  x² = 300 -200

  x = √100 = 10

The length of the unknown side is 10 units.

¿que son los cuadriláteros?

Answers

Answer:

Cuadrilátero solo significa "cuatro lados" (quad significa cuatro, lateral significa lado). Un cuadrilátero tiene cuatro lados, es bidimensional (una forma plana), cerrado (las líneas se unen) y tiene lados rectos.

Un cuadrilátero es un polígono con cuatro aristas y cuatro vértices.

Step-by-step explanation:

Simplify tan theta times sin theta

Answers

Answer:

tan θ × sin θ

From trigonometric identities

[tex] \tan(θ) = \frac{ \sin(θ) }{ \cos(θ) } [/tex]

So we have

[tex] \frac{ \sin(θ) }{ \cos(θ) } \times \sin(θ) [/tex]

We have the final answer as

[tex] \frac{ \sin(θ)^{2} }{ \cos(θ) } [/tex]

Hope this helps you

8–2|4–5y|=4 help me as quick as u can plzzz

Answers

Answer: [tex]y=\frac{2}{5}, \frac{6}{5}[/tex]

Step-by-step explanation:

When answering a problem like this, you first isolate the absolute value.  TO do this, first subtract 8 from both sides, to get –2|4–5y|=-4.  Then divide both sides of the equation to get |4–5y|=2.  The next thing you do is split the equation into 4-5y=2 and 4-5y=-2, because the contents of the absolute value could be negative or positive, and simplifying both into y = 2/5, and y = 6/5y.

Hope it helps <3

What is total number of elements in 3 trials of rolling a 6-sided die?

Answers

Answer:

216 elements

Step-by-step explanation:

the total number of elements of a dice is :

6^n

6 stand for the 6 faces of the dice

n stands for the number trial

then total number of elements in 3 trials of rolling a 6-sided die is 6^3=216 elements

If log3=0.4771 and log2=0.3010,Find the value of log12

Answers

Answer:

log 12 = 1.0761

Step-by-step explanation:

log 12

=log(3*2*2)

= log 3 +log 2+ log 2

=0.4771+0.3010+0.3010

=1.0761

Answer:

Log 12 = 1.0791

Step-by-step explanation:

=> log (12)

Prime Factorizing 12

=> log (2×2×3)

Using log rule : [tex]log (a*b) = log a+logb[/tex]

=> Log 2 + log 2 + log 3

Given that log 2 = 0.3010 , log 3 = 0.4771

=> 0.3010 + 0.3010 + 0.4771

=> 1.0791

Please give me the correct answer her please

Answers

Answer:

             9.3 in

Step-by-step explanation:

m∠UTV = 112°  ⇒  m∠WTV = 180° - 112° = 68°

sin(68°) ≈ 0.9272

sin(∠WTV) = WV/TV

WV/10 ≈ 0.9272

WV ≈ 9.272

WV ≈ 9.3

Help Needed! Legit Answers Only.

Answers

Answer: C) 1.5

The given point (2,5) is in the form (x,y). So x = 2 and y = 5.

Plug x = 2 into the equation given to find the predicted y value

y = 2.5x - 1.5

y = 2.5(2) - 1.5

y = 5 - 1.5

y = 3.5

We get a predicted y value of 3.5, and the actual y value is 5. Subtract the two values in this exact order

residual = (actual) - (predicted) = 5 - 3.5 = 1.5

A positive residual means that our predicted value is too small. A negative residual would be that the predicted value is too large.

Answer:

d=1.5

Step-by-step explanation:

y=2.5x-1.5   point (2,5)

f(2)=2.5(2)-1.5

f(2)=3.5           now we have two point , find the distance between them

(2,5) and (2,3.5)

d=√(x2-x1)²+(y2-y1)²

d=√(2-2)²+(3.5-5)²=

d=√1.5²=1.5

tried different way, it is 1.5

PLZ HELP QUICK!!! - Fill in the missing values in the tables. If necessary, round your answer to three decimal places.

Answers

Answer:

first blank = 10 (for table 1)

second blank = 30 (for table 2)

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

Explanation:

You could use a calculator to determine the value of b, then compute b^x for that first box. But as the instructions state, we don't need to use one. Why is that? Because the tables provide enough information to fill in the blanks.

Table 1 shows x = 2.096 lead to some unknown y value. Meanwhile, table 2 has x = 10 lead to y = 2.096; note the 2.096 shows up again. The exponential and log functions are inverses of each other. They undo each other's operation. This is similar to how division undoes multiplication, and vice versa.

Going in reverse of table 2, we will conclude that 10 must go in the blank for table 1. Therefore, b^x = 10 when x = 2.096

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

Similarly, we will have 30 in the blank for table 2. Table 1 shows x = 3.096 lead to y = 30. Table 2 is the reverse of that as it is the inverse.

Throughout either section, we didn't need to find the value of b.

The missing value in table 1 is 10 and for table 2 it is 30.

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

In the first table first column

x = 0.369 and bˣ = 1.5 ⇒

By logarithm

logbˣ = log1.5

xlogb = log1.5

Now x = 0.369

logb = 0.1760/0.369

b = 3

Now,

f(x) at x = 2.096 ⇒ [tex]3^{2.096}[/tex] = 10

And

x at g(x) = 3.096

[tex]log_{3}[/tex]x = 3.096 ⇒ x = 30.

Hence "The missing value in table 1 is 10 and for table 2 it is 30".

For more about logarithm,

https://brainly.com/question/20785664

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Suppose instead of comparing independent measurements taken from two groups, you used a matched-pairs experiment and one treatment is randomly assigned to each half of the pair. In this case, how should you compute the confidence interval for the difference?

Answers

You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence

Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.

Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)

After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences

The confidence interval is in the form (L, U)

L = lower bound

L = dbar - t*sd/sqrt(n)

U = upper bound

U = dbar + t*sd/sqrt(n)

Two functions f and g are defined on set R of real numbers by:

f: x

x2 – 2x – 1

g: x

x – 1

find the value of x for which f(x) = g(x) – 2

Answers

Answer:

x = 1, x = 2

Step-by-step explanation:

Given

f(x) = g(x) - 1, that is

x² - 2x - 1 = x - 1 - 2

x² - 2x - 1 = x - 3 ( subtract x - 3 from both sides )

x² - 3x + 2 = 0 ← in standard form

(x - 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

X = 1, X = 2

Hope this helped!
Other Questions
Use the interactive number line to find the sum.-5.5 + 3.7 = Petroleum motor oil does a combination of natural oil and synthetic oil. It contains 5 L of natural oil for every 3 L of synthetic oil. In order to make 768 L of petroleum oil how many liters of natural oil are needed A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measured in yards) that is sold is a function of the selling price p (in dollars per yard), so we can write q = f(p). Then the total revenue earned with selling price p is R(p) = pf(p). A. What does it mean to say that f(20)= 10,000 and f firstderivative (20)= -350? B. Assuming the values in part a, find R first derivative (20). Find the inverse of the function f(x) = 2x - 3x NO ABSURD ANSWERS IF YOU DON't WANT YOURSELVES TO GET REPORTED! Why are arabesques and geometric patterns prevalent in Islamic art and architecture? They are valued because they are more difficult to create. The use of figures in religious Islamic art is restricted. They represent the prophet Muhammed as a symbol of his works. They are prized as signs of wealth, devotion, and prosperity. A researcher interested in the disappearance of fallen leaves in a deciduous forest carried out a field experiment that lasted nearly a year. She collected all the leaves from 100 plots scattered throughout the forest. She measured the amount of leaves present in November, May and August. The percentages reflect the number of leaves found, using the November values as 100 percent. The slope of the line below is 4 . Which of the following is the point slope form of that line ? ( top answer gets ) The definition of parallel lines requires the terms line and plane while the definition of perpendicular lines requires the undefined terms of line and point. Dr. Whetstone is curious about how self-esteem changes as a result of a new counseling program. She is concerned about testing threats in her study. Which of the following would you recommend to her as a way to address this type of threat? A) Refusing to let participants drop out of the study B) Conducting a pretest-only study C) Using a different measure of self-esteem at pretest than at posttest D) Omitting a comparison group Suppose instead of comparing independent measurements taken from two groups, you used a matched-pairs experiment and one treatment is randomly assigned to each half of the pair. In this case, how should you compute the confidence interval for the difference? If the rule is y=x+6, what is the y-coordinate for this ordered pair? (8,y) Patty Corporation holds 75 percent of Slider Corporation's voting common stock, acquired at book value. The fair value of the noncontrolling interest at the date of acquisition was equal to 25 percent of the book value of Slider Corporation. On December 31, 20X8, Slider Corporation acquired 25 percent of Janet Corporation's stock. Slider records dividends received from Janet as nonoperating income. In 20X9, Janet reported operating income of $100,000 and paid dividends of $40,000. During the same year, Slider reported operating income of $75,000 and paid $20,000 in dividends. 1) Based on the information provided, what amount will be reported as consolidated net income for 20X9 under the treasury stock method? a. $150,000 b. $100,000 c. $75,000 d. $175,000 2) Based on the information provided, what amount will be reported as income assigned to the controlling interest for 20X9 under the treasury stock method? a. $18,750 b. $156,250 c. $175,000d. $100,000 Simplify tan theta times sin theta according to humanist thinkers, political decisions should be based onancient wisdom. rational thought.religious doctrines.artistic inclinations. An MRI machine needs to detect signals that oscillate at very high frequencies. It does so with an LC circuit containing a 15mH coil. To what value should the capacitance be set to detect a 450 MHz signal? 6th grade math, help me please:) What might an elevated ST segment of an ECG mean? A. All of these B. Cardiovascular disease C. Impending heart attack D. Hypertrophy Anyone got the answer to this? Ik its prob easy but Im just not seeing it Help somebody please!!Thank you Suppose that a 0.275 m radius, 500 turn coil produces an average emf of 11800 V when rotated one-fourth of a revolution in 4.42 ms, starting from its plane being perpendicular to the magnetic field.Required:Find the magnetic field strength needed to induce an average emf of 10,000 V.