If n represents a power of 10, what is the value of n when 0.006 is rounded to the nearest power of 10?

Enter your answer in the box.

By studying the given situation, it can be concluded that

Heath is engaged in p- hacking.

What is p-hacking?

p-hacking is the misuse of statistical data to make a result statistically significant.

Heath analyzes his data using a bivariate correlation, as he previously planned; however, to his frustration, he quickly learns that his results are just short of being statistically significant.

Heath's main target is to make his result statistically significant.

He decides to try conducting a multiple-regression analysis instead and is pleased to see that with this method of data analysis, the results are statistically significant. Because the results were so similar, Heath doesn't bother reporting the bivariate correlation in his paper, as he thinks that clearly multiple regression was the correct test to run.

She Heath did not report the bivariate correlation in his paper, he is misusing the data to make his data statistically significant.

So Heath is engaged in p-hacking.

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Greatest common factor (GCF): 12a³b + 8a²b² - 20ab³. = 4ab(3a² + 2ab - 5b²) that is option 2

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the biggest, we refer to the GCF of 12, 20, and 24 as four.

There are two stages to get the GCF since 12a3b + 8a2b2 - 20ab3. contains both integers and variables (HCF). Find GCF for the variable component first, then for the numeric part.

How to locate GCF

1. Find the GCF for the 12, 8, 20 numerical portion.

2. Calculate the GCF for the variable component (a3b, a2b2, and ab3).

3. Add the values together and multiple them

Find the common factors for the numerical part: 12 ,8,20 is

factors of 12 -1,2,3 ,4,6,12

factors of 8 - 1,2,4,8,

factor of 20 - 1,2,4,5,10,20

the common factor will be 1,2,4

so GCF = 4

Next, find the common factors for the variable part: a³b , ,a²b² ,ab³.

the common factors will be ab

so GCF = ab

for the equation 12a³b + 8a²b² - 20ab³.

4ab is common , if we take 4ab common then remaining parts are

12a³b = 3a²

8a²b² = 2ab

20ab³. = 5b²

greatest common factor: 12a³b + 8a²b² - 20ab³. = 4ab(3a² + 2ab - 5b²)

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Answer:

Step-by-step explanation: 0.2=1/5 0.002=1/500

1/5*1/500=1/2500 which equals 0.0004

we calculated confidence interval = 0.48±0.16

confidence interval represents the accuracy of a particular estimation.

proportion of population is the ratio of random sample to the total available sample.

Given, size of samples that means number of total iPhones, n = 25

size of random samples that means iPhone with 85 downloaded apps, p= 12,

critical value for 90% confidence interval z* = 1.65

proportion of samples, p^ = p/n = 12/25 =0.48

finally, confidence interval = p^±z*[√{p^(1-P^)/n}]

                                               0.48±1.65[√{0.48(1-0.48)/25}]

                       hence, the confidence interval = 0.48±0.16

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Journalizing the entries to record the transactions is as follows:

Date      Account Titles and Explanation    Debit    Credit

Nov. 21 Notes Receivable                        $48,000

            Accounts Receivable                               $48,000

(To record the receipt of a 60-day 9% note dated November 21 from McKenna Outer Wear Co. on the past account.)

Dec. 31 Interest Receivable                         $480

            Interest Revenue                                           $480

(To accrue interest revenue on the note at year-end.)

Jan. 20 Cash                                          $48,720

             Notes Receivable                                  $48,000

             Interest Receivable                                     $480

             Interest Revenue                                        $240

(To record the full settlement of the note and interest.)

Journal entries are the first recording of business transactions in the company's day book.

With the journal entries, debit and credit accounts are identified, helping to organize the general ledger.

Nov. 21 Notes Receivable $48,000 Accounts Receivable $48,000

60-day 9% note dated November 21

Dec. 31 Interest Receivable $480 Interest Revenue $480 ($48,000 x 9% x 40/360)

Jan. 20 Cash $48,720 Notes Receivable $48,000 Interest Receivable $480 Interest Revenue $240 ($48,000 x 9% x 20/360)

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The perimeter of a triangle with sides 4, 6, and 8 feet is 18 feet.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the perimeter of a triangle is the sum of it's all three sides.

In the case of an equilateral triangle, the perimeter is 3×side as all three sides have the same length.

∴ The perimeter of a triangle with sides 4, 6, and 8 feet is,

= (4 + 6 + 8) feet.

= 18 feet.

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Answer:

b) D => d. 9/7

Step-by-step explanation:

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Now required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (-5 - 4)/(-4 - 3)

→ m = (-9)/(-7)

→ [ m = 9/7 ]

Hence, the slope is 9/7.

The quadratic equations 5x² + 20x + 20 = 0 and x² + 6x + 9 = 0 are the only correct equations having only one solution.

Quadratic equations has it highest power to the degree of two and they have two solutions that makes them true. The solutions could be different or similar ( which implies there is only one solution). From the question we shall concentrate on the equations which have similar solution or rather only one solution.

For the equation 5x² + 20x + 20 = 0;

we divide through by 5 to get;

x² + 4x + 4 = 0

x² + 2x + 2x + 4 = 0 {we group the terms}

x(x - 2) +2(x + 2) = 0 {factorize}

(x + 2)(x + 2) = 0

either; x + 2 = 0 or x + 2 = 0

x = -2 or x = -2 {which are the same solutions}

For the equation x² + 6x + 9 = 0;

x² + 3x + 3x + 9 = 0 {we group the terms}

x(x + 3) + 3(x + 3) = 0 {factorize}

(x + 3)(x + 3) = 0

either; x + 2 = 0 or x + 2 = 0

x = -2 or x = -2 {which are the same solutions}

Therefore, the quadratic equations 5x² + 20x + 20 = 0 and x² + 6x + 9 = 0 each have only one solution which are -2 and -3 respectively.

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By using the concept of control chart, it can be concluded that

A large number of plots are on or near the centerline.

Third option is correct.

What is control chart?

Control chart is used to show how a process changes over time.

There are three lines in a control chart.

They are the central line for the average, upper line for the Upper Control Limit (UCL) and a lower line for the Lower Control Limit (LCL)

It is known that the highest performance of a process is obtained when it is between the LCL and the UCL.

That means to get the best result, samples needs to be concentrated near the centerline.

So the third option is correct

A large number of plots are on or near the centerline.

Third option is correct.

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Complete Question

Quality control charts usually have a central line and upper and lower control limit lines. Which of the following is not a reason that the process being monitored with the chart should be investigated?

A sudden and sustained shift in the plots toward the upper or lower control limit

There is an upward trend in the plots

A large number of plots are on or near the central line

A single plot falls outside of the control limits

(a) According to the graph :  Local minimum point is : -3 , 4

(b) Local minimum values of g is: 1, -2

"Information available from the question"

In the question:

Here is a graph of the function g

Use the graph to find the following.

If there is more than one answer, separate them with commas.

(a) All values at which g has a local minimum:___

(b) All local minimum values of g :___

Now, According to the question:

If a function has a definite value at every neighborhood of a point and the value at that point is the minimum. The value of the function at that point is the local minimum.

(a)  All values at which g has a local minimum:

According to the graph :  Local minimum point is : -3 , 4

(b)  All local minimum values of g:

Local minimum values of g is: 1, -2

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Answer:

18.6 miles

Step-by-step explanation:

Subtract Distance traveled from total distance

Total distance: 24 miles

Distance Traveled: 5.4 miles

24 - 5.4 = 18.6

Answer:

Inequality Form:

x<−3

Interval Notation:

(−∞,−3)

Step-by-step explanation:

To sum it up

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

The Horton family subscribes to 3 premium channels. The total monthly subscription fee for the excel cable company is 48 dollars. The Horton family will save 24 dollars in one year by using the less expensive company.

(A) To find the number of premium channels for which the total monthly subscription fee for the excel and best cable companies will be the same, we set these two expressions equal to each other and solve for x:

32 + 8x = 26 + 10x

8x - 10x = 26 - 32

-2x = -6

x = 3

Therefore, the Horton family subscribes to 3 premium channels.

(B) The total monthly subscription fee for the excel cable company is 32 + 8 × 2 = 48 dollars if the Horton family subscribes to 2 premium channels. The total monthly subscription fee for the best cable company is 26 + 10 × 2 = 46 dollars if the Horton family subscribes to 2 premium channels.

Since the total monthly subscription fee for the best cable company is less than the total monthly subscription fee for the excel cable company, the Horton family should subscribe to the best cable company in order to spend less money.

(C) If the Horton family subscribes to the best cable company for one year, they will save 48 - 46 = 2 dollars per month. Over the course of one year, they will save 2 × 12 = 24 dollars.

Therefore, the Horton family will save 24 dollars in one year by using the less expensive company.

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[tex]2n=10[/tex]

Divide both sides by 2:

[tex]\dfrac{2n}{2} =\dfrac{10}{2}[/tex]

[tex]\fbox{n = 5}[/tex]

Temperature at 6 a.m. was:

The difference is:

Temperature in Buffalo at noon was 19 °F greater:

According to the geometric series 0.08 is the sum or state that the series diverges.

A geometric series is a series for which the ratio of each two consecutive terms is a constant function of the summation index . The more general case of the ratio a rational function of the summation index. produces a series called a hypergeometric series.

Given:

[tex]$$\sum_{n=2}^{\infty} \frac{3^n}{12^n}$$[/tex]

In the first term, it represents an unlimited geometric series.

b = 9/144

And the common ratio,

q = 3/12

By the ratio test ,it is convergent

Sum is

S = b/1-q

[tex]$=\frac{\frac{9}{144}}{1-\left(\frac{3}{12}\right)}$[/tex]

S = [tex]\frac{108}{1296}[/tex]

S = 0.08

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The complete question is-

Use the formula for the sum of a geometric series to find the sum or state that the series diverges (enter DIV for a divergent seris).

                                         [tex]$$\sum_{n=2}^{\infty} \frac{3^n}{12^n}$$[/tex]                                

Answer:

To solve the equation f(x) = 3, we can set the expression for f(x) equal to 3 and then solve for x. In other words, we want to find the values of x that make the equation 5 - \frac{x}{r^2} + 5 + 6 = 3 true.

We can start by simplifying the left side of the equation by combining like terms. This gives us

5 - \frac{x}{r^2} + 5 + 6 = 5 + 5 - \frac{x}{r^2} + 6 = 10 - \frac{x}{r^2} + 6

Next, we set this expression equal to 3 and solve for x:

10 - \frac{x}{r^2} + 6 = 3 \quad \Rightarrow \quad 10 - 6 = 3 - \frac{x}{r^2} \quad \Rightarrow \quad \frac{x}{r^2} = 7

To solve for x, we can multiply both sides of the equation by r^2:

x = 7r^2

Therefore, the solutions to the equation f(x) = 3 are $x = 7r^2$. Note that this is a general solution, and it may not give all the possible values of $x$ that make the equation true. It's also possible that there are no solutions, depending on the value of $r$.

B would be the answer to this quadratic equation.

Answer:

B. x = 5 ± 10i

Step-by-step explanation:

ax² + bx + c = 0

quadratic formula = (-b ± [tex]\sqrt{b^{2}-4ac }[/tex])/2a

y = x² - 10x + 125

substitute the values:

(-(-10) ± [tex]\sqrt{(-10)^{2}-4(1)(125) }[/tex])/2(1)

= (10 ± [tex]\sqrt{100 - 500}[/tex])/2

= (10 ± [tex]\sqrt{-400}[/tex])/2

= (10 ± 20i)/2

= 5 ± 10i

Yes, it wasn't fair because some kids got more pizza.

What is simplest form of a fraction?

When the numerator (top) and denominator (bottom) of the fraction do not have any common factors, the fraction is said to be in its simplest form. For instance, 1/2 is the most basic version of 6/12.

Given that, there were 14 players.

Six players sat at one table and got 4 small pizzas to share equally.

Applying unitary method,

Thus each players got 4/6 part of a pizza.

                                    = 2/3 [ Divide denominator and numerator by 2]

The other 8 players sat at a different table and got 6 small pizzas to share equally.

Each players got 6/8 part of a pizza.

                            = 3/4 [Divide denominator and numerator by 2]

Now compare 2/3 and 3/4:

The LCM of the denominators 3 and 4 is 12.

Multiply 4 with denominator and numerator of 2/3:

(2×4)/(3×4) = 8/12

Multiply 3 with denominator and numerator of 3/4:

(3×3)/(4×3) = 9/12

Therefore, 9/12 >  8/12

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a) Using conditional probability, the likelihood that a driver purchases oil, given that he or she purchases gasoline is 5.62%.

b) Based on conditional probability, the chance that a driver purchases gasoline, given that he or she purchases oil is 71.43%.

Conditional probability is the likelihood or chance of an event or outcome occurring, based on a previous event or outcome that occurs.

Conditional probability considers two events occurring relatively.

The formula for conditional probability is intersection probability divided by base probability.

The percentage (proportion) of drivers who stop at a gas station to buy gasoline = 89%

The probability of buying both gasoline and oil = 5%

The percentage (probability) of purchasing oil = 7%

a) The probability that a driver purchases oil, given that he or she purchases gasoline = the probability of buying both gasoline and oil/the probability of stopping and buying gasoline.

= 5.62% (0.05/0.89).

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b) The probability that a driver purchases gasoline, given that he or she purchases oil = the probability of buying both gasoline and oil/the total probability of those who purchase oil.

= 71.43% (0.05/0.07 x 100).

Of the drivers who stop at a gas station, 89% purchase gasoline, and 5% purchase both gasoline and oil. A total of 7% purchase oil.

(a) What is the probability that a driver purchases oil, given that he or she purchases gasoline? Round your answer to the nearest hundredth.

b) What is the probability that a driver purchases gasoline, given that he or she purchases oil? Round your answer to the nearest hundredth.

Answer:

x=5

Step-by-step explanation:

or, 3x-9-4=2

or, 3x-13=2

Now, Adding 13 on both sides we get,

or, 3x-13+13=2+13

or, 3x=15

Now, Dividing both sides by 3 we get,

or, (3x)/3=15/3

Therefore, x=5

Answer:

Step-by-step explanation:

x < 2

I think is the answer when you subtract 7 from both sides you get 3x <6 and then you divide both sides by 3 getting x < 2 (not sure if that's how you solve this one but usually it would be solved like this. if wrong then I'm sorry)

The probability of growing seed exactly one is 0.0033.

The probability of a seed not growing is 0.46, because if it has a 54% chance of growing, then  100% - 54% to find the odds that it will not grow, which is 46%.

The probability of 7 seeds growing is equivalent to asking what the probability is of a seed growing and another seed growing and another seed growing and another seed, and so on until I say a total of 7seeds. The point is that "and" in probability means to multiply.

To calculate the likelihood of seven seeds growing,

(0.46)(0.54)⁷

Probability = 0.0033

Probability = 0.0033 x 100

                  = 0.33%

Therefore probability of growing exactly one seed is 0.0033.

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Answer:

The inequality represented in the given picture is:

[tex]x \le 5[/tex]

Note the inclusive less than sign since the graph has a filled-in dot.

This can be represented in interval notation as:

[tex](-\infty, 5][/tex]

Note the bracket on enclosing the 5, representing inclusiveness.

Answer:

8 beads per ring.

Step-by-step explanation:

50/6 = 8.333..

Since you cannot have less than half of a ring, the answer is 8.

Answer:

63*

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

a) The point estimate of the proportion of the population that would provide Yes responses is; 0.50

b) The estimate of the standard error of the proportion is; 0.0224

c) The 95% confidence interval for the population proportion is; CI = (0.4569, 0.5431)

a) The point estimate of proportion in a sample of n out of which x belongs to the favorable event is;

p^ = x/n

Thus, we are given; x = 250 and n = 500

p^ = 250/500

p^ = 0.5

b) The standard error  is defined as a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation. It is given by the formula;

S = √(p^(1 - p^)/n)

Plugging in the relevant values gives;

S = √(0.5(1 - 0.5)/500)

S = 0.0224

c) A confidence interval is defined as the mean of your estimate plus and minus the variation in that estimate. The confidence interval is given by the formula;

CI = p^ ± z√(p^(1 - p^)/n)

where z is z-score at confidence level

z at 95% confidence level = 1.96

Thus;

CI = 0.5 ± 1.96√(0.5(1 - 0.5)/500)

CI = 0.5 ± 0.04312

CI = (0.4569, 0.5431)

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Answer: (12,-6)

Step-by-step explanation: