3a+8+2ax≥3ax-4a what is a

Answer:

lt is rational number .

Answer:

  -1 -3i

Step-by-step explanation:

It is unusual to have two imaginary terms grouped together like this. Taking the question at face value, we treat i as though it were a variable, and collect terms in the usual way.

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

Complete Question

Given two independent random samples with the following results:

[tex]n_2=13\ , \= x_2=171\ s_1=23[/tex]  

Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.

Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

Step 3 of 3: Construct the 90% confidence interval. Round your answers to the nearest whole number.

Answer:

Step 1 of 3:

    [tex]\= x_p  =  15[/tex]

Step 2 of 3:

    [tex]E =7.79[/tex]

Step 3 of 3:

   [tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]

Step-by-step explanation:

Now considering the Step 1 of 3, the  point estimate that should be used in constructing the confidence interval  is mathematically represented as  

        [tex]\= x_p = \= x_1 - \= x_2[/tex]

=>     [tex]\= x_p = 186 - 171[/tex]

=>     [tex]\= x_p = 15[/tex]

Now considering the Step 2 of 3

Given that the confidence level is  90% then the level of significance is mathematically represented as

     [tex]\alpha = (100-90)\%[/tex]

=>    [tex]\alpha = 0.10[/tex]

Generally the degree of freedom is mathematically represented as

        [tex]df = n_1 + n_2 - 2[/tex]

=>    [tex]df = 13 + 13 - 2[/tex]

=>   [tex]df = 24[/tex]

From the student t-distribution table the critical value of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  [tex]df = 24 \ is \ \ t_{\frac{\alpha }{2} ,df} = 1.711[/tex]

Generally the pooled variance is mathematically represented as    

  [tex]s_p^2 = \frac{ (13 -1 ) 33^2 + (13 -1 ) 23^2 }{(13 - 1 )(13 - 1)}[/tex]

         [tex]s_p^2 = 134.83 [/tex]

Generally the margin of error is mathematically represented as

  [tex]E = t_{\frac{\alpha }{2} ,df } * \sqrt{\frac{s_p^2}{n_1} +\frac{s_p^2}{n_2} }[/tex]

=>     [tex]E = 1.711* \sqrt{\frac{134.83}{13} +\frac{134.83}{13}}[/tex]

=>     [tex]E =7.79[/tex]

Now considering the Step 3 of 3

Generally the 90% confidence interval is mathematically represented as

              [tex]\= x_p -E < \mu_1 - \mu_2 < \= x_p +E[/tex]

=>  [tex] 15 -7.79 < \mu_1 - \mu_2 < 15 +7.79[/tex]

=>  [tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]

Answer: it will take 8 periods of 1/2 hour to make up 4 hours

Step-by-step explanation:

It will take 8 periods of 1/2 hour to make up 4 hours.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Half an hour is 30 minutes,

There are 60 minutes in an hour.

4 hours=240 minutes.

240/30 = 8

Hence, 8 periods of 1/2 hour to make up 4 hours.

Learn more about Arithmetic operations

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Answer:

39.5 astronomical units

Answer:150,000

Step-by-step explanation:

1500×10=15000

150,000÷100=1500

1500÷10=150

So 150,000 is not an answer in one the expressions

Answer:150,000

Step-by-step explanation:

[tex]\text{Hello there! :]}[/tex]

[tex]\large\boxed{125 \text { vases}}[/tex]

[tex]\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25} = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}[/tex]

Answer:

125=_=_=

Step-by-step explanation:

hoped I helped

Answer: To add fractions, find the LCD and then combine.

Exact Form:

7 /6

\(￣︶￣*\)) Hope this helps!!

Answer:

7/6

Step-by-step explanation:

2/3+1/2

4/6+3/6

4+3/6

7/6

Answer:

tytytytyt

Step-by-step explanation:

Answer:

i don't either

Step-by-step explanation:

Answer:

The answer is: If the endpoints of a segment are (3,-3), and (5,-5), the length of the segment is approximately 4.24 units.

Step-by-step explanation:

Answer:

a) 855

b) We would need a Larger sample.

Step-by-step explanation:

(a) How large should the sample be to guarantee the margin of error will be no more than $3?

The formula for Margin of Error = z × Standard deviation/√sample size

z = z score of 99% confidence interval = 2.58

Standard deviation = $34

Sample size = n = unknown

Margin of Error = $3

√n = z × Standard deviation/Margin of Error

Square both sides

n = (z × standard deviation/Margin of Error)²

n =( 2.58 ×34/ 3)²

n = (29.24)²

n = 854.9776

Approximately, the size of the sample be to guarantee the margin of error will be no more than $3 is 855

(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)

We would need a Larger sample.

This is because, the larger the sample, the smaller the margin of Emerror and the smaller the sample, the larger the margin of error. Therefore, for the question b, we would be needing a larger sample.

Answer:

let the hotel charge before tax for second hotel be x

then the hotel charge before tax for first hotel = x+1500

tax of first hotel = 7.5% * (x+1500) = (7.5x+11250)/100

tax from second hotel= 7% of x = 7x/100

total tax = 547.50

7x/100 + (7.5x+11250)/100 =547.50

14.5x = 54750-11250

14.5x= 43500

x= 3000

hotel charge in first city = 4500

in second city =3000

Step-by-step explanation:

Answer:

A) 15x +79  = z

B) 15x +79 + 5x + 61 = 180

20x + 140 = 180

20x = 40

x = 2

Then using equation A)

A) 15 * 2 + 79 = z

30 + 79 =z

z = 109

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answer:

carollnx talk me

............ that is the correct options

Answer:

be confident to answer any questions

Answer:

6(x + 4)

opening brackets

=6x+24 is the answer

Step-by-step explanation:

Answer:

a) Is multiplied by the original exponent.

Step-by-step explanation:

the power rule works like this:

you want to find the derivative of ax ⁿ

where n is the exponent and a is the coefficient

the derivative would equal (n ⋅ a)xⁿ⁻¹

e.g. you want to find the derivatives of 5x⁴

f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³

f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²

f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x

f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120

Answer:

The answer is

Step-by-step explanation:

The equation of a circle is given by

where ( a , b) is the center of the circle and

r is the radius

From the question the center is

P (-3, 8) and radius = 12

Substitute the values into the above formula and solve

That's

( x + 3)² + ( y - 8) = 12²

Expand the terms

That's

x² + 6x + 9 + y² - 16y + 64 = 144

Arrange the terms

x² + y² + 6x - 16y + 9 + 64 - 144 = 0

We have the final answer as

Hope this helps you

Answer:

C. The equation should x/17=118.82

Step-by-step explanation:

We know that

Dividend ÷ Divisor = Quotient

Dividend/Divisor = Quotient

From the question, we are told that:

The quotient of a number and 17 is 118.82

Let us represent the unknown number as x = Dividend

17 = Divisor

Quotient = 118.82

Hence,

x / 17 = 118.82

Cross Multiply

x = 17 × 118.82

x = 2019.94

The correct answer = Option C. The equation should x/17=118.82

Step-by-step explanation:

3(2x + 1) - 2(x + 5) - 5(5 - 2x) = 16

6x + 3 - 2x - 10 - 25 + 10x = 16

6x - 2x + 10x = 16 - 3 + 10 + 25

14x = 48

x = 48/14

x = 24/7

Answer:

50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]

Step-by-step explanation:

This is the answer because:

1) 50 and 1 equal to 51

2) The fraction forms of a decimal number is: the decimal number/the decimal number place value

3) Therefore, the answer is 50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]

Hope this helps!

in 4 - (x + 2) < -3(x + 4), x < -7

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x<-7

Step-by-step explanation:

Use inverse operations to solve

4 - ( x + 2 ) < -3 ( x+ 4)

first distribute the (-) sign and the (-3)

4 -x -2 < -3x -12

simplify

2 -x < -3x -12

simplify again, with inverse operations

2 -x < -3x -12

+3x    +3x

2 + 2x < -12

-2           -2

2x < -14

/2       /2

x<-7

Answer:

Step-by-step explanation:

(12x − 36) = 5x + 18

First of all remove the parenthesis

That's

12x - 36 = 5x + 18

Next subtract 5x from both sides of the equation

We have

12x - 5x - 36 = 5x - 5x + 18

7x - 36 = 18

Add 36 to both sides of the equation

That's

7x + 36 - 36 = 18 + 36

7x = 54

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{54}{7} [/tex]

We have the final answer as

[tex]x = \frac{54}{7} [/tex]

Hope this helps you

Answer: x=54/7

Step-by-step explanation:

To find the value of x, we need to use algebraic properties to isolate x.

12x-36=5x+18         [subtract both sides by 5x]

7x-36=18                  [add both sides by 36]

7x=54                      [divide both sides by 7]

x=54/7

Now, we know that x=54/7.

Step-by-step explanation:

Its additive inverse!

(4m - n)(3m - 2n)

12m^2 - 8mn - 3mn + 2n^2

Let's combine like terms

12m^2 - 11mn + 2n^2

Answer:

12m^2+2n^2-11mn

Step-by-step explanation:

(4m-n)(3m-2n)

=12m^2-8mn-3mn+2n^2

12m^2+2n^2-11mn

Answer:

35 counting yourself.........34 not