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Two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

The two-sample t-test defined as the method used to test whether the unknown population means of two groups are equal. The two sample t-test is also called independent samples t-test. Because the two samples of the data are statistically independent.

A paired t-test is used to find the difference between two variables usually separated by time for the same subject. By using the paired t-test  we can find the mean difference between pairs of measurements is zero or not. So  paired t-test is used, when data is in the form of matched pairs

Hence, two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

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Answer:

8.j     9.b   10.f    11.a

Step-by-step explanation:

you welcome

Answer:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

4-6 = -2

x/7-6

Substitute

28/7-6

PEMDAS

28/7 = 4

4-6 = -2

(If you're looking for the expression, it's 4-6. But if straight answer, -2)

Answer:

\( \sf \: \frac{x}{7} - 6 = - 2\)

Step-by-step explanation:

Given information,

\( \sf \rightarrow \: \frac{x}{7} - 6\)

\( \sf \rightarrow \: x = 28\)

Now the value of expression is,

\( \sf \rightarrow \: \frac{x}{7} - 6\)

\( \sf \rightarrow \: \frac{28}{7} - 6\)

\( \sf \rightarrow \: 4 - 6\)

\( \sf \rightarrow \: - 2 = > final \: value\)

Therefore, the answer is -2.

Answer:

Acceleration is 0.5 m/s² and the distance covered is 6.25 m.

Step-by-step explanation:

Given that,

Initial speed, u = 0

Final speed, v = 9 km/h = 2.5 m/s

Time, t = 5 seconds

We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity

So,

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2\)

Distance d can be calculated using third equation of motion.

\(d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m\)

So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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Here we are given that ;

\({:\implies \quad \sf f(x)=x^{2}-81}\)

Differentiating both sides w.r.t.x ;

\({:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}\)

\({:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}\)

\({:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}\)

This is the required answer

Answer:

Answer:The circumference of this circle is 60.

Hope you could get an idea from here.

Doubt clarification - use comment section.

ANOVA is a valuable tool for comparing means across multiple groups and determining if there are significant differences among them.

ANOVA (Analysis of Variance) is a statistical procedure used to compare the means of two or more groups to determine if there are statistically significant differences among them. It helps to determine whether the observed differences in group means are due to actual group differences or simply due to random variation.

The ANOVA procedure compares the variation within each group (within-group variability) to the variation between the groups (between-group variability). If the between-group variability is significantly larger than the within-group variability, it suggests that there are true differences in the means of the groups.

By performing hypothesis testing, ANOVA calculates an F-statistic and compares it to a critical value from the F-distribution. If the calculated F-statistic exceeds the critical value, it indicates that there are significant differences in means among the groups, and we reject the null hypothesis that all group means are equal.

ANOVA does not identify which specific group means are different from each other; it only tells us if there is a statistically significant difference among the means. To determine which groups are different, posthoc tests or pairwise comparisons can be conducted.

Overall, ANOVA is a valuable tool for comparing means across multiple groups and determining if there are significant differences among them.

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Answer:

$32

Step-by-step explanation:

Answer:

$32

Step-by-step explanation:

The correct value of this equation is m = 24

This equation contains a fractional term. We note that the denominator of this equation is the term 4. Therefore, we will multiply the sides by 4:

13 = m/4 + 7

13 . 4 = 4(m/4) + 7 . 4

52 = m + 28

Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:

52 = m + 28

-m = 28 - 58

-m = -24

m = 24

Therefore, the correct value of this equation will be m = 24

Answer:

1 × 2.4 = 2.4

10 × 2.4 = 24

100 × 2.4 = 240

1,000 × 2.4 =2400

Step-by-step explanation:

Answer:

1*2.4=2.4

10*2.4=24

100*2.4=240

1,000*2.4=2400

Step-by-step explanation:

You may see a pattern, as each answer is pushed up a digit from where it used to be. That is because the multiple is increased by 10, causing it to be that way.

Answer:

8/9

Step-by-step explanation:

This 0.888... as a fraction is 8/9. Any number over 9, the decimal is going to a repeating number.

Answer:

8/9

Step-by-step explanation:

10x = 8.88..

-   x = 0.88

9x = 8

= 8/9

Question isn't complete so we assume you wish to solve the equation above

`x-0.1x+2.70=56.70

Answer:

Step-by-step explanation:

To solve this equation

x-0.1x+2.70=56.70

We first find like terms and then subtract both sides of the equation

x-0.1x+2.70=56.70= 1x-0.1x+2.70=56.70

Add like terms

0.9x+2.70=56.70

Subtract both sides of equation

0.9x=56.70-2.70

Divide both sides

0.9x=54

x=54/0.9

x= 60

Every rectangle with four congruent sides is a square -> True

Every rhombus is a quadrilateral -> True

Every square is a parallelogram -> True

Every quadrilateral is a square -> False.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

here, we have,

we know that,

Every rectangle with four congruent sides is a square -> True

Every rhombus is a quadrilateral -> True

Every square is a parallelogram -> True

Every quadrilateral is a square -> False.

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Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

Therefore, the total amount of money utilized on fuel in June 2022 is R11 095,60.

Percent is a way of expressing a quantity as a fraction of 100. It is denoted by the symbol %, which means "per hundred". Percentages are often used to represent proportions or ratios in various fields, including finance, science, and statistics. For example, an interest rate of 5% means that for every hundred dollars borrowed or invested, five dollars of interest will be charged or earned.

Here,

(a) To calculate the total distance covered by the water tanker in March 2022, we need to find the distance travelled per day and multiply it by the number of days in March.

Distance travelled per day = 2 × 18 = 36 km (since it's a return trip)

Number of weekdays in March = 31 - 4 (Saturdays) = 27

Total distance covered = distance per day × number of weekdays

= 36 km/day × 27 days

= 972 km

(b) To determine the quantity of fuel utilized by the water tanker in March 2022, we need to divide the total distance covered by the average fuel consumption rate.

Fuel consumption rate = 5 km/ℓ

Total distance covered = 972 km

Fuel utilized = total distance covered / fuel consumption rate

= 972 km / 5 km/ℓ

= 194.4 ℓ

(c) To determine the total amount of money utilized on fuel for the water tanker in March 2022, we need to multiply the fuel quantity by the fuel price.

Fuel price in March 2022 = R16,28/ℓ

Fuel utilized = 194.4 ℓ

Total cost of fuel = fuel price × fuel quantity

= R16,28/ℓ × 194.4 ℓ

= R3 163,39

Therefore, the total amount of money utilized on fuel for the water tanker in March 2022 is R3 163,39.

(d) To determine the total amount of money utilized on fuel in June 2022, we need to repeat the above calculation using the June fuel price.

Fuel price in June 2022 = R24,14/ℓ

Fuel capacity = 460 ℓ

Total cost of fuel = fuel price × fuel capacity

= R24,14/ℓ × 460 ℓ

= R11 095,60

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Complete question:

Records of the number of water tankers that were supplied to the construction site appear in the calender on ANNEXURE A. The water source is at a distance of about 18 km (return trip) from the construction site. The water tanker has a fuel capacity of 460 litres.. The rate of fuel consumption of the Mercedes water tanker averages 5 km/ℓ. The prices of fuel per litre in March and June 2022 appear below. JUNE 2022 FUEL PRICES \begin{tabular}{|l|l|} \hline DIESEL & COST \\ \hline 50ppm & R24,14 \\ \hline \end{tabular} Source: 4.1 (a) Calculate the total distance that the water tanker has covered in March (2) 2022. (b) Hence, determine the quantity of fuel that was utilized by the water tanker in March 2022. (c) Determine the total amount of money that was utilized on fuel for the water tanker in March 2022. (2) 4.2 Determine the total amount of money that was utilized on fuel in June 2022.

Answer:

Many accounts of the atom begin with a history of the growth in scientists' understanding of its structure, but here we will take the opposite approach, first discussing the atom in terms of what physicists and chemists today understand. Only then will we examine the many challenges scientists faced in developing the current atomic model: false starts, wrong theories, right roads not taken, incomplete models. In addition, we will explore the many insights added along the way as, piece by piece, the evidence concerning atomic behavior began to accumulate. People who are not scientifically trained tend to associate studies of the atom with physics, not chemistry. While it is true that physicists study atomic structure, and that much of what scientists know today about atoms comes from the work of physicists, atomic studies are even more integral to chemistry than to physics. At heart, chemistry is about the interaction of different atomic and molecular structures: their properties, their reactions, and the ways in which they bond.

Step-by-step explanation:

Sample Response: "Studying atoms is important because knowledge about atoms helps people to understand the world around them and produce materials used in daily life. Also, research done on atoms has contributed to the improvement of people's lives through medicine, to the protection of the environment, and to the discovery of new things about the world and the universe."

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Answer:

6

Step-by-step explanation:

y = mx + b

m is slope

b is y-intercept

y = -3x + 6

Answer:

The y-intercept is D.6.

Step-by-step explanation:

The slope equation is y=mx+b. The b is the y-intercept.

Also you can set x=0, and you can get your y-intercept tht way.

y= -3(0) +6

y=6

Answer:

it's 10

Step-by-step explanation:

i searched it up.

Answer:

y = -5/4x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-4) / -6 - 2

10 / -8

= -5/4

-4 = -5/4(2) + b

-4 = -5/2 + b

-3/2

Answer:

10+2.50*L

Step-by-step explanation:

It first says they charge $10 PLUS $2.50 per lap.

If I were to go only 1 lap my total would be $12.50, that's why the number of laps is labeled L because we don't know how many laps the customer is going to make.

Answer:

Dilation. a transformation in which a figure grows larger. Dilation may be with respect to a point (dilation of a geometric figure) or with respect to the axis of a graph (dilation of a graph). Center of Dilation. the center of dilation is a fixed point in the plane.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A vector orthogonal to the plane defined by points P(1,0,0), Q(1,1,1), and R(2,-1,3) is:

(4, 1, -1).

To find a vector orthogonal to the plane defined by points P(1,0,0), Q(1,1,1), and R(2,-1,3), follow these steps:

1. Find two vectors that lie in the plane by subtracting the coordinates of the given points. Let's use PQ and PR:
  PQ = Q - P = (1-1, 1-0, 1-0) = (0, 1, 1)
  PR = R - P = (2-1, -1-0, 3-0) = (1, -1, 3)

2. Calculate the cross product of PQ and PR to obtain a vector orthogonal to the plane:
  PQ x PR = (PQ_y*PR_z - PQ_z*PR_y, PQ_z*PR_x - PQ_x*PR_z, PQ_x*PR_y - PQ_y*PR_x)
           = (1*3 - 1*(-1), 1*1 - 0*3, 0*(-1) - 1*1)
           = (3 + 1, 1 - 0, 0 - 1)
           = (4, 1, -1)

Therefore, we can state that a vector orthogonal to the plane defined by points P(1,0,0), Q(1,1,1), and R(2,-1,3) is (4, 1, -1).

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Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

The final answer is 8(6-x)

⇒ Given value: 48−8x

⇒ find: equivalent expression

⇒ Solution: 48−8x = 8(6−x)

\(.\)