Determine which of the following is the solution to the equation below.

x cubed = 12

Answer:

Answer Choice B

Step-by-step explanation:

f(x) is just another way of saying y=.

To inverse, just flip the x & y and isolate the y variable.

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

Answer:

we can not reject any value

Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval

If we established CI = 95 % then  α = 5 % and  α/2 = 0,025

From data we find the mean of the values

μ₀  = 12,03   and σ = 0,07

From z table we find z score for 0,025 is  z(c) = ± 1,96

So limits of our CI are:

12,03 + 1,96 =  13,99

12,03 - 1,96 = 10,07

And all our values are within  ( 10,07 , 13,99)

So we can not reject any value

Answer:

Sale Tax($): 4.5

Step-by-step explanation:

Before Tax Price ($):  72

Tax Rate (%): 6.2

Final Price Including Tax ($):  76.46

Sale Tax($): 4.46

Answer:

76.46

Step-by-step explanation:

Answer:

its either 98 cm or 28 cm

Step-by-step explanation:

7 x 7 = 49 x 2 = 98 cm

14 x 2 = 28

Answer:

10+65=75 75-10=65

A subtraction expression to determine the original value of Amy's paycheck is x-10=65.

Given that, Amy had a $10 monthly fee for music streaming due when she received her paycheck.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the original value of Amy's paycheck be x

According to the question, x-10=65

⇒ x=$75

Therefore, a subtraction expression to determine the original value of Amy's paycheck is x-10=65.

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Answer:

9.

Step-by-step explanation:

9514 1404 393

Answer:

  78

Step-by-step explanation:

The base (JL) is twice the length of the midline (MN), so you have ...

  4x +34 = 2(5x -16)

  4x +34 = 10x -32 . . . eliminate parentheses

  66 = 6x . . . . . . . . add 32-4x

  11 = x

Then the length of JL is ...

  4(11) +34 = 78

Answer:

7

Step-by-step explanation:

PEMDAS

First we do the parenthesis, then we multiply and then we subtract (left to right)

= (2+2) * 3 - 1 - 4

= 4 * 3 - 1 -4

= 12 - 1 -4

= 12

Answer:

6.71

Step-by-step explanation:

If you want to put picture i would recommend using your phone to do it. :]

Answer: its 6.71

Step-by-step explanation:

Answer: 30%

Step-by-step explanation:

She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.

Answer:

15

Step-by-step explanation:

2

4

6

8

10

there are 5 between 1-10

so 3*5=15 between 1-30

Answer:

15

Step-by-step explanation:

my head hurts too

Answer:

After solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Step-by-step explanation:

We are given:

If  [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]

Solving:

[tex]i=\sqrt{-1}[/tex]

Taking cube on both sides

[tex]i^3=(\sqrt{-1})^3\\[/tex]

We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:

[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]

So, after solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Answer:

10 apples and 4 bananas

Step-by-step explanation:

x + y> 12. 5 x + 7y <80

Answer:

Step-by-step explanation:

The answer to this problem is .

Answer:

= 105

Step-by-step explanation:

Answer:

here ya go

Step-by-step explanation:

a

9

=

105 I think

Answer:

b

Step-by-step explanation:

Answer:

1.5 or 3/2

Step-by-step explanation:

The division results the quotient is 1.5

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.

Given:

We have to divide 12.645 by 8.43

So,   12.645/8.43

= 12645/ 8430

=           8430 | 12645   | 1 . 5

                         8430

                      -______

                          42150

                          42150

                         _______

                               0  

Hence, the quotient is 1.5.

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Answer:

The appropriate response is "(26.03, 33.97)".

Step-by-step explanation:

The given values are:

Average maternal age,

[tex]\bar{x} = 30[/tex]

Standard deviation,

s = 6.2

Random sample,

n = 20

Now,

The degree of freedom will be:

⇒ [tex]df=n-1[/tex]

        [tex]=20-1[/tex]

        [tex]=19[/tex]

"t" at confidence level 99%, will be:

⇒ [tex]\alpha=1-99 \ percent[/tex]

       [tex]=1-0.99[/tex]

       [tex]=0.01[/tex]

⇒ [tex]\frac{\alpha}{2}=\frac{0.01}{2}[/tex]

       [tex]=0.005[/tex]

⇒ [tex]t\frac{\alpha}{2} \ df=t \ 0.005,19[/tex]

By using the student table, we get

             [tex]=2.86 1[/tex]

The margin of error will be:

⇒ [tex]E=\frac{t \alpha}{2,df\times (\frac{s}{\sqrt{n}})}[/tex]

On substituting the estimated values, we get

⇒     [tex]=2.861\times (\frac{6.2}{\sqrt{20}})[/tex]

⇒     [tex]=3.97[/tex]

At 99%, the confidence level will be:

⇒ [tex]\bar{x}-E< \mu <\bar{x}+E[/tex]

⇒ [tex]30-3.97< \mu < 30+3.97[/tex]

⇒ [tex](26.03,33.97)[/tex]

Thus the above is the correct approach.

Answer:

3 miles in 24 minutes

Step-by-step explanation:

Answer:

-12.50x+350<210

Step-by-step explanation:

Answer:

it is equal to

Step-by-step explanation:

took test

Answer:

equal to

Step-by-step explanation:

Answer:

ok supplementary angles are two angles when they add up upto 180 degree so angle 2 and 5 make 180 degree .

Answer:

the third one

Step-by-step explanation:

jsut took it

Answer:

It’s C

Step-by-step explanation:

Answer:

domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Hope this helps you!

Answer:

Step-by-step explanation:

The difference:

Complete Question

How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?

Exercise 9.53

A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.

B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?

Answer:

The First question

                    [tex] n = 1879  [/tex]

A

    The 96% confidence interval is  

                      [tex]0.51 <  p <  0.63 [/tex]

B

   The possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57 is  

           [tex]E =    0.06 [/tex]

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.02[/tex]

     The sample size is  n =  200

     The number that supported the annexation suit is  k = 114

Considering the first question

Generally our sample in Exercise 9.53 is  [tex]\^ p = 0.57[/tex]

From the question we are told the confidence level is  96% , hence the level of significance is    

      [tex]\alpha = (100 - 96 ) \%[/tex]

=>   [tex]\alpha = 0.04[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.751 [/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.751}{0.02 } ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.751}{0.02 } ]^2 * 0.57  (1 -0.57  ) [/tex]

=>  [tex] n = 1879  [/tex]

Considering question B

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>  [tex]E =    1.751 * \sqrt{\frac{ 0.57  (1- 0.57 )}{200} } [/tex]

=>  [tex]E =    0.06 [/tex]

Considering question A

Generally the sample proportion of the number that supported the annexation suit is mathematically represented as

        [tex]\^ p = \frac{114}{200}[/tex]

=>      [tex]\^ p = 0.57[/tex]

Generally 96% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>  [tex]0.57  - 0.06 <  p <  0.57  + 0.06 [/tex]

=>  [tex]0.51 <  p <  0.63 [/tex]