A researcher creates two random samples, each with a sample size of 10. He
does not find a statistically significant difference between the two groups.
Which of the following statements is correct? Select all that apply.
A. Since the sample size is adequate, the conclusion is likely to be
true.
B. Since random samples were used, the conclusion is likely to be
true.
C. Sample size does not affect the outcome of statistical
significance.
D. Since the sample size is not adequate, the conclusion is likely to
be untrue.

The range of the difference in means' 99% confidence level is from -1.42 to 10.02. The true mean difference between Treatments 1 and 2 falls between these two numbers, we can claim with 99% certainty for t-distribution.

We can use a t-distribution to determine a confidence interval for the difference in means using paired data. Prior to determining the mean difference and standard deviation of the differences, we first compute the difference between the paired observations.

Because we are only interested in the mean difference between Treatments 1 and 2, we compute the differences for each pair and get the following outcomes:

6 -3 8 2 6

The sample mean and sample standard deviation of these differences are then computed. The average of these variations is the sample mean.

(6 - 3 + 8 + 2 + 6)/5 = 3.8

The square root of the sum of squared differences divided by the degrees of freedom yields the sample standard deviation.

\(\sqrt{[(6 - 3.8)^2 + (-3 - 3.8)^2 + (8 - 3.8)^2 + (2 - 3.8)^2 + (6 - 3.8)^2]/(5-1)) } = 3.06\)

The 99% confidence interval for the mean difference can then be determined using the t-distribution. Our sample size is tiny (n=5), so we utilise a t-distribution with four degrees of freedom.

The sample mean, which is 3.8, provides the most accurate approximation of the mean difference.

We must determine the crucial value of t for a 99% confidence interval with 4 degrees of freedom in order to determine the margin of error. The crucial value, which we determine using a t-table, is 4.604.

The margin of error is:

\(4.604 * (3.06/\sqrt{5}) = 5.22\)

Lastly, by deducting and adding the margin of error from the sample mean, we can determine the confidence interval:

3.8 - 5.22 = -1.42

3.8 + 5.22 = 10.02

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Step-by-step explanation:

Sure, I can help you with that problem!

To find the value of p, you have the equation:

(3/2)p = 7

To isolate p, you need to divide both sides of the equation by (3/2):

(3/2)p / (3/2) = 7 / (3/2)

Simplifying the right side:

7 / (3/2) = 7 x (2/3) = 14/3

So now you have:

p = 14/3 ÷ (3/2)

Dividing by a fraction is the same as multiplying by its reciprocal, so you can rewrite this as:

p = 14/3 x (2/3)

Simplifying:

p = 28/9

Therefore, the value of p is 28/9. Let me know if you have any other questions or if there's anything else I can help you with!

Answer:

7) 24 8) 75 9) .9

Step-by-step explanation:

You multiply the denominatior with the whole number.

Answer:

x = 24   b = 75   s = 0.9

Step-by-step explanation:

7. Multiply both sides by 2 and you get x = 24

8. Multiply both sides by 5 and you get b = 75

9. Multiply both sides by 0.3 and you get s = 0.9

Answer:

Sue Black: 40 hours, $270

Jerry Atrix: 30 hours, $154.50

Sam Ting: 38.75 hours, $339.06

Step-by-step explanation:

Firstly, 40 hours is a workweek of 8-hour shifts. It's good to remember. Otherwise, we can multiply 8 by 5 and get 40 anyway. That's the hours of Sue Black, and she earns:

40*$6.75 = $270

Jerry worked for (note you can easily add in memory if you do the fractions first):

7.25+3+6.75+8+5 = 7.25+6.75 + 3+8+5 = 14 + 16 = 30

Earnings:

30*$5.15 = $154.50

Sam worked a quarter of an hour less than Sue each day. That means that his total time was:

40 - 5 * 0.25 = 40 - 1.25 = 38.75

Earnings:

38.75*$8.75 = $339.0625 ≈$339.06

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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The average rate of change in the elevation of the cyclist from 5 minutes to 10 minutes is: 400 ft/min

The formula for the average rate of change is:

Average rate of change = (y₂ - y₁)/(x₂ - x₁)

Now, we want to find the average rate of change  in the elevation of the cyclist from 5 minutes to 10 minutes.

Elevation at 10 minutes = 1140 ft

Elevation at 5 minutes = 940 ft

Thus:

Average rate of change = (1140 - 940)/(10 - 5)

Average rate of change = 200/5

Average rate of change = 400 ft/min

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The complement is 10%

The proportion is given as:

p = 90%

The complement is calculated as:

Complement = 100% - p

This gives

Complement = 100% - 90%

Evaluate the difference

Complement = 10%

Hence, the complement is 10%

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On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

cost for the 12 classes = $72

cost of 1 unit = $6

cost of 9 units = $54

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Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Increasing: [-1, ∞)

Decreasing: (-∞, -1]

The given graph is a quadratic graph with the parent function expressed as:

The graph shows a downward shift by 3 units and left shift by 1 unit to give the function:

In order to determine the point where the graph is increasing or decreasing, we need to determine the minimum point of the parabola. The minimum point of the parabola is at (-1, -3)

The curve is increasing from the x-coordinate of the minimum point up to infinity (the arrow shows it extends to infinity). Hence the interval of increase is [-1, ∞)

Similarly, the curve is decreasing from infinity down to the x-coordinate of the minimum point (the arrow shows it extends to infinity). Hence the interval of decrease is (-∞, -1].

Answer:

25/4 quarts of cranberry juice

40/3 quarts of apple juice

25/8 quarts of lemonade

Step-by-step explanation:

just multiply everything by 5

:)

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

50

Step-by-step explanation:

Cynthia can install 50  shingles in an hour.

Two or more expressions with an Equal sign is called as Equation.

Given that Dominic can install 180 shingles in the same time it takes Cynthia to install 150 shingles.

180=150c is the relationship where d and c are the respective rates for Dominic and Cynthia.

Dominic can install 10 shingles more per hour than Cynthia.

D=C+10

and 180/d=150/c

180/c+10=150/c

Apply cross multiplication

180c=150(c+10)

180c=150c+1500

Subtract 150c from both sides

30c=1500

Divide both sides by 30

c=1500/30

c=50

Hence,  Cynthia can install 50  shingles in an hour.

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Answer:

C. Addition Property of Equality

Step-by-step explanation:

Given,

x - 6 = 4

To find x, the addition property of equality is applied by adding 6 to both sides.

Thus:

x - 6 + 6 = 4 + 6

x = 10

Answer:

6/49  

Step-by-step explanation:

-2/7  *   -3/7   = (-2 * -3) / (7*7) =  6/49

The general formula for exponential growth and decays is:

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

can be wrtten as:

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

can be written as:

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

Answer:

It could be 14M.

Step-by-step explanation:

A to B is similar length, so that is why it could be 14M.

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Work Shown:

3(x+2) - 4(x-1)

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

3(-1) - 4(-4)

-3 + 16

13

Therefore, 3(x+2) - 4(x-1) = 13 when x = -3

In other words, the solution to 3(x+2) - 4(x-1) = 13 is x = -3.

Answer:

B and E

Step-by-step explanation:

the graph (Justine) shows the line

y = 2x

the line for Velma is

y = 4x

now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).

a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).

as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.

so, as per her slope, Velma moves 4 meters in 1 minute.

and Justine moves 2 meters in 1 meter.

so, Justine is half as fast as Velma.

and therefore, Justine moves a shorter distance than Velma each minute.

Answer:

Step-by-step explanation:

B and E

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.

To calculate March cost of goods sold we need to add the given data for FIFO =

March cost of goods sold

= (2,800 + 3,700 + 6,550)

= 13,050

To calculate March cost of goods sold we need to add the given data for LIFO =

March cost of goods sold

= (3,400 + 4,400 + 6,800)

= 5,800

Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.

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Answer:

Lion area: 60

Lion Perimeter: 34

Tiger Area: 60

Tiger perimeter: 64

Step-by-step explanation:

Answer:  Not proportional

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

Explanation:

Let's assume the two fractions are equal.

If so, then,

\(\frac{0.2}{2.6} = \frac{0.3}{3.6}\\\\0.2*3.6 = 2.6*0.3\\\\0.72 = 0.78\)

The last equation is false, so the first equation is false.

Therefore, the two ratios are not proportional.

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

Another approach:

Calculate the decimal value of each fraction

\(\frac{0.2}{2.6} \approx 0.07692\\\\\frac{0.3}{3.6} \approx 0.08333\\\\\)

The two ratios result in different decimal values, so the two ratios are not equal, aka not proportional.

Answer:It would be 40•.25=10

Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

9

Step-by-step explanation:

Plug in 6 to x, since this is the x-value in the ordered pair.

\(3(6)+2y=36\\18+2y=36\\2y=18\\y=9\)

Answer:

(6, 9)

Step-by-step explanation:

3x + 2y = 36

Substitute 6 into the equation to get the output.

3(6) + 2y = 36

Multiply 3 and 6.

18 + 2y = 36

Subtract 18 from both sides.

2y = 18

Divide both sides by 2.

y = 9

The ordered pair when x = 6 is

(6, 9)

Answer:

About 11.025

Step-by-step explanation:

\(\sin{58^\circ}=\dfrac{x}{13}\\\\x=13\cdot\sin{58^\circ} \approx11.025\)