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Answer:

95% = Within two standard deviations from the mean

99.7% = Within three standard deviations from the mean

68% = Within one standard deviation from the mean

Step-by-step explanation:

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Answer:

The answer would be x = -1 and y = 3

Step-by-step explanation:

Work is as shown:

1) -8x - y = 5

   y = x + 4

2) -8x - (x+4) = 5

3) -8x -x = 9

4) -9x/-9 = 9/-9

5) y = -1 + 4 = 3

If there are any questions or if i didn't answer the question reply with the question please.

Answer:

I'd say 439.3!

Step-by-step explanation:

I'm so sorry if this is wrong!

Answer:$0

Step-by-step explanation:

Answer:

This equation has no solution

Step-by-step explanation:

if the same equation equals 2 different numbers then therefore there is no solution.

Answer:  CD segment

Step-by-step explanation:  

Answer:

A

Step-by-step explanation:

Median is the middle

Mode is the number you see the most

Add and divide for the mean

Subtract the lowest value from the highest value for the range

Answer:

[tex]f^{-1}(13) = 2[/tex].

Step-by-step explanation:

For function [tex]f[/tex], the notation [tex]f(2) = 13[/tex] means that when the input to the function is [tex]2[/tex], the output would be [tex]13[/tex].

The inverse function of a one-to-one function [tex]f[/tex] is commonly denoted as [tex]\!f^{-1}[/tex].

The inverse function undoes the action of the original function. In this question, [tex]f[/tex] maps [tex]2[/tex] to [tex]13[/tex]. Thus, [tex]f^{-1}[/tex] would need to map [tex]13\![/tex] back to [tex]2\![/tex]. Therefore, [tex]f^{-1}(13) = 2[/tex] should be the corresponding input and output values.

Answer: The function c(p) represents the cost for (P) people to attend the movies.

The function t(m) represents the average high temperature for a given number of months.

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

a)

b)

Answer:

a) 23 °C

b) 5.81 m² (2 dp)

Step-by-step explanation:

This set of data is presented as a Dot Plot.

The frequency (how often a data value occurs) is represented by the number of dots above each data value.

For example, in this dot plot, there are 3 dots above the data value 21 °C and so this means that there are three of this particular data value in the set of data.

To find the mean, we need to multiply each data value by its frequency, add them up, then divide by the total frequency.

[tex]\begin{aligned}\textsf{mean}&=\dfrac{3 \times 21+1 \times 22+2\times 23+5\times 24+1\times 25}{3+1+2+5+1}\\\\ & = \dfrac{63+22+46+120+25}{12}\\\\& = \dfrac{276}{12}\\\\&=23^{\circ} \sf C\end{aligned}[/tex]

This set of data is presented as a stem and leaf diagram, where the units and tenths are split.  The units column is the 'stem' and the tenths become the 'leaf'.

Therefore, the first row of this stem and leaf diagram represents 2 data values: 4.3 and 4.8

To find the mean, sum the data values, then divide by the total frequency.

To find the total frequency, simply count the number of values in the leaf part of the diagram.

Data values = 4.3, 4.8, 5.1, 5.1, 5.2, 5.5, 5.7, 6.6, 6.9, 7.3, 7.4

Total frequency = 11

[tex]\begin{aligned}\textsf{mean} &=\dfrac{4.3 + 4.8 + 5.1+5.1+5.2+5.5+5.7+6.6+6.9+7.3+7.4}{11}\\ & = \dfrac{63.9}{11}\\\\& = 5.81\:\textsf{(2 dp)}\end{aligned}[/tex]

Answer:

Step-by-step explanation:

Your after-tax income is the gross pay less the amount that is paid to taxes. The monthly income is 1/12 of the annual amount.

__

The tax is the taxed amount multiplied by the tax rate.

  taxes = $45,000 × 15% = $6,750

The after-tax income is the income less the taxes:

  after-tax income = $45,000 -6,750 = $38,250

The monthly income is 1/12 of this amount:

  monthly income = annual income/12 = $38,250/12 = $3,187.50

Answer:

answer is B

Step-by-step explanation:

33/27 = 44/x

33x = 1188

x = 36

The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = 3x - 5

Here, g(x) is not given clearly.

But we can identify the given function as an inverse of each other.

Let's suppose the ordered pairs are:

[x, f(x)] and [x, g(x)]

The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

f(0) = -5 so for (0, -5) on the f(x) list then (-5,0) must be on the g(x) list

f(1) = -2 so for (1, -2) on the f(x) list then (-2, 1) must be on the g(x) list

f(2) = 1 so for (2, 1) on the f(x) list then (1, 2) must be on the g(x) list

Let's suppose:

g(x) = (x+5)/3

g(-5) = 0

g(-2) = 1

g(1) = 2

So the ordered pair (-5, 0), (-2, 1), and (1, 2) are in the list of g(x).

Thus, the functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

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Answer:

24 cubes

Step-by-step explanation:

You can figure this a couple of ways.

I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.

The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.

Answer:

i just want to try this but i think its y<2.1

Step-by-step explanation:

The polynomial is a quadratic function, and the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)

The polynomial expression is given as:

2x^2 - 9x + 7

Expand

2x^2 - 9x + 7 = 2x^2- 2x - 7x + 7

Factorize the above expansion

2x^2 - 9x + 7 = 2x(x - 1) - 7(x - 1)

Factor out x - 1

2x^2 - 9x + 7 = (2x -7)(x - 1)

Hence, the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)

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Answer:

96

Step-by-step explanation:

4 times 24 is 96

Answer:

should be about 60

Step-by-step explanation:

Answer:

The center is at (h, k) : (0, -1) and the radius is 10. ... The radius is 10. That is, since r^2 = 100, r must be 10.

Step-by-step explanation:

hope this helps you!

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Given that x varies inversely with y, x=6 when y=-4, find y when x=8.

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

If x varies inversely with y, we divide.

So the formula looks as follows:-

[tex]\bold{x=\displaystyle\frac{k}{y} }[/tex]

where k = constant of proportionality

Plug in the values:-

[tex]\bold{6=\displaystyle\frac{k}{-4}}[/tex]

Multiply both sides by -4:-

[tex]\bold{-24=k}[/tex]

Now find y when x=8:-

[tex]\bold{8=\displaystyle\frac{-24}{y}}[/tex]

Multiply both sides by y:-

[tex]\bold{8y=-24}[/tex]

Divide by 8 on both sides:-

[tex]\dashrightarrow\bigstar{\boxed{\boxed{\underline{\bold{y=-3}}}}\dashleftarrow[/tex]

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Answer:

1 hour and 22 minutes

Step-by-step explanation:

2:27 finished and started at 1:05

Answer: range is 6

Step-by-step explanation:

Smallest number is 2

largest number is 8

8-2=6

Answer:

Step-by-step explanation:

You can rewrite the given log expressions to express them in terms of ln(a), ln(b), and ln(c). Then substituting the given values will produce the value of the expression.

Or, you can define the variables 'a', 'b', and 'c' and let your calculator compute these directly.

__

  [tex]\ln\left(\dfrac{a^4}{b^4c^{-2}}\right)=4\ln(a)-(4\ln(b)-2\ln(c))=4\cdot2-4\cdot3+2\cdot5=\boxed{6}[/tex]

  [tex]\ln\left(\sqrt{b^{-2}c^4a^2}\right)=\dfrac{1}{2}\left(-2\ln(b)+4\ln(c)+2\ln(a)\right)=\ln(a)-\ln(b)+2\ln(c)\\\\=2-3+2\cdot5=\boxed{9}[/tex]

  [tex]\dfrac{\ln(a^1b^2)}{\ln(bc)^2}=\dfrac{\ln(a)+2\ln(b)}{(\ln(b)+\ln(c))^2}=\dfrac{2+2\cdot3}{(3+5)^2}=\dfrac{8}{64}=\boxed{\dfrac{1}{8}}[/tex]

  [tex]\ln(c^{-2})\left(\ln\dfrac{a}{b^{-3}}\right)^{-1}=\dfrac{-2\ln(c)}{\ln(a)-(-3)\ln(b)}=\dfrac{-2(5)}{2+3\cdot3}=\boxed{-\dfrac{10}{11}}[/tex]

_____

The applicable rules of logarithms are ...

Of course, a square root is the same as a 1/2 power.

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

Explanation:

C = set of people skilled at communication

M = set of people skilled at handling money

Refer to the Venn Diagram shown below.

The blue region refers to the set of employees that are in circle C and in circle M.

Add up the numbers in the blue region to get 22+25 = 47

Answer:

Problem 9: h(1/8) = 5/8

Problem 10: k = -5

Step-by-step explanation:

Problem 9:

[tex]h( \frac{1}{8} ) = 3( \frac{1}{8} ) + \frac{1}{4} = \frac{3}{8} + \frac{2}{8} = \frac{5}{8} [/tex]

Problem 10:

[tex] \frac{k - 3}{2} = - 4[/tex]

[tex]k - 3 = - 8[/tex]

[tex]k = - 5[/tex]

Answer:

$1000

Explanation:

If the employee has worked there for 20 years and for every year its 50 dollars. That would mean its 50x20 which eqauls 1000.

The monthly income in the first year after retirement is $1000.

Average monthly income is the amount you earn each month. Depending on your source of income, you can subtract insurance payments, rent allowances and other costs, such as federal and state taxes, from your total income every month. Net worth is your debt subtracted from your total assets.

Given that, Janet is retiring after working for a major department store for 20 years. The company offered her a flat retirement benefit of $50 per year for each year of service.

After working for 20 years, Janet has decided to retire from her job at a major department store.

The company has offered her a flat monthly retirement benefit of $50 for each year of service, which means that her monthly income in the first year after retirement would be $50 multiplied by 20, which is equal to $1000.

Hence, the monthly income in the first year after retirement is $1000.

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Answer:

g(x) = (x + 31)

f(x)= 3x-9

3×x-9= -9+3×x

=-6x

g(x)=(x+31)

1×x+31=32+1×x

=32x

h(x)=2x-16

2×x-16= 16+2×x

=18x

j(x)= -5(x-2)2

(-5x+10)2

-10x+20= 10×x+20

=20-10×x

=10x

Answer:

45.35

Step-by-step explanation:

Because there are 3 numbers to the right of the decimal point, this number has 3 decimal places. This question wants you to alter the number so that it has only 2 numbers to the right of the decimal. You can't just totally ignore the numbers you want to eliminate, so rounding rules need to be applied.

First, identify the number in the second decimal place position. If the number to the right of this position (the third decimal position) is in the range of 5 - 9, you must add 1 to the second decimal place value. Then, you can drop the numbers after the second decimal place. If the number to the right is 0 - 4, you can simply drop it the value and all the other values to the right.

In this case, the second decimal place has a value of 4. The number to the right is 8. Because 8 is within the 5 - 9 range, add 1 to 4 to get a new decimal value of 5. Finally, drop all the numbers to the right of the new second decimal place value. This leaves you with your answer: 45.35.

Answer:

x4+2x3+x2+5x+b=x-2x3+x+3

Step-by-step explanation: