How do I figure out which statement is true?

We can use the analysis of variance procedure to test hypotheses about three or more groups and their mean differences. ANOVA is a powerful tool for testing hypotheses about differences among group means, variability within and between groups, and interaction effects in multifactor studies.

The procedure compares the variability between the groups to the variability within the groups, and determines whether the observed differences in means are statistically significant. This can be used to test hypotheses about the effect of a treatment, the comparison of multiple groups, or the relationship between an independent variable and a dependent variable. Overall, the analysis of variance procedure provides a powerful tool for hypothesis testing in research, and can be used to draw conclusions about the population from a sample of data. The analysis of variance (ANOVA) procedure is a statistical method used to test hypotheses about:

Differences among group means: ANOVA helps to determine if there are significant differences among three or more group means, enabling researchers to compare multiple groups simultaneously. Variability within and between groups: ANOVA compares the variability of data points within each group to the variability between groups. This analysis helps identify if the variation is due to factors of interest or random chance. Interaction effects: In a multifactor ANOVA, the procedure can test for interaction effects between independent variables. This helps to understand if the effect of one factor on the dependent variable is dependent on the levels of another factor.

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Answer:

1: height is 28/3 (9 1/3)

2: Base is 25/2 (12 1/2)

3: Height is 59/4 (14 3/4)

Step-by-step explanation:

Since the formula to find the area of a pallelogram is A=base × height

I divided the area by either the Base or the height (depending which one the problem had gave me)

Therefore 147 will be divided by 15 3/4.

Then 140 5/8 will be divided by 11 1/4.

Finally 151 3/16 would be divided by 10 1/4.

Feel free to double check the math btw.

The expected time taken for the system to fail is dependent on the specific details of the system in question.

However, if we assume that the three modes have equal probabilities of occurring and that the failure occurs when the system reaches a specific mode, we can use the concept of Markov chains to find the expected time until failure.

In this case, the expected time until failure would be the reciprocal of the probability of the system transitioning to the failure mode.

Therefore, if each mode has an equal probability of 1/3, the expected time until failure would be 3 units of time.

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well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

Answer:

positive

Step-by-step explanation:

:)

Answer:

a ｼ

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

See the picture for your understanding.

Since a and b are oppoiste angles of 80° and 60° respectively

a = 80°

b = 60°

Since sum of three angles in a triangle is 180°

x + 51 + 60° + 80° = 180°

x = -11

Answer:

When using ANOVA, the sum of squares within is:  Showing the difference between the Total SS and Between SS known as Error variance

Step-by-step explanation:

Within SS is also known as Error sum of squares . It is calculated by finding the difference between Total Sum of Squares and Between Sum of Squares

with the given degrees of freedom.

Within SS = Total SS - Between SS

Where

Total SS= ∑∑X²- C. F

Between SS= ∑T²j/r - C.F

Correction Factor = CF = Tj²/n

So the correct answer would be

Showing the difference between the Total SS and Between SS also known as   Error variance.

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{x = 2}}}}}}\)

Step-by-step explanation:

\( \sf{2x + 14 = - 6 + 12x}\)

Move 12x to left hand side and change it's sign

⇒\( \sf{2x - 12x + 14 = - 6}\)

Move 14 to left hand side and change it's sign

⇒\( \sf{2x - 12x = - 6 - 14}\)

Collect like terms

⇒\( \sf{ - 10x = - 6 - 14}\)

Calculate

⇒\( \sf{ - 10x = - 20}\)

Divide both sides of the equation by -10

⇒\( \sf{ \frac{ - 10x}{ - 10} = \frac{ - 20}{ - 10} }\)

Calculate

⇒\( \sf{x = 2}\)

Hope I helped!

Best regards!!

Answer:

option b ) 18

Step-by-step explanation:

The questions states 3 different values for f(x)

f(x) = 3x + 12,  if x ≤ -2

f(x) = 4 ,          if  -2 < x < 3

f(x) = 2x²         if x ≥ 3

Evaluate f(3)

x = 3, that is x ≥ 3

So we will have  to choose f( x )  = 2x²

                                          f( 3 ) = 2 (3)²

                                                  = 2 x 9

                                                  =  18

Answer: = 18

Espero que esto te ayude.

Answer:

addition property of equality

Step-by-step explanation:

k - 4.5 = 9.8

Add 4.5 to each side using the addition property of equality

k-4.5 +4.5 = 9.8+4.5

k = 14.3

Answer:

Addition Property of Equality

Step-by-step explanation:

k - 4.5 = 9.8

~Add 4.5 to both sides

k = 14.3

Best of Luck!

Answer:

∠ RST = 22°

Step-by-step explanation:

since ∠ RSU = 91°

and ∠ TSU = 69°

so ∠ RST = 22°

HOW:

given that;

∠ RSU = 91°

and

∠ TSU = 69°

we would subtract 69° from 91°

91°-69°= 22°

Hi there!

\(\large\boxed{\text{p(x) = 4(3)^{x}, q(x) = 4(2)^{x}}}\)\(\large\boxed{p(x) = 4(3)^{x}}}\\\large\boxed{ q(x) = 4(2)^{x}}\)

(a)

Looking at the graphs, we see that both p(x) and q(x) intersect the y-axis at

y = 4, or (0, 4).

(b)

The base of the functions is simply the value of the y-intercept, or a = 4.

(c)

We can write equations for both using an external point at x = 1:

p(x):

y = 4(b)^x

Plug in the point (1, 12) to solve:

12 = 4(b)^1

12 = 4b

b = 3

Rewrite the equation:

\(p(x) = 4(3)^{x}\)

q(x):

y = 4(b)^x, plug in the point (1, 8):

8 = 4(b)^1

8 = 4b

b = 2

Rewrite:

\(q(x) = 4(2)^{x}\)

FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

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When one lists their ages and their heights as ordered pairs (age, height), the statement that is true is D. It is both a relation and a function.

A relation between two sets is a collection of ordered pairs that each contain one object from the other set. If the ordered pair (x,y) is in the relation and the object x is from the first set and the object y is from the second set, the objects are said to be related. A relation is a type of function.

A function is a relation that states that there should be only one output for each input (or) we can say that a function is a special type of relation (a set of ordered pairs) that follows a rule, i.e., every X-value should be associated with only one y-value.

It should be noted that based on the information, only one value can be attributed to each person. Therefore, the correct option is D.

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√48 = 4√3

Click on the photo to view full solution

To solve this problem, we need to first assign each tape a starting position of 0 degrees. Then, we can use the given codes to determine the movements of each tape. The position of the tape will be at 135° after performing A+D three times.

Let's start with the first calculation, A+D. If we add the codes for tape A and tape D (which are 2 and 0 respectively), we get 2+0=2. Since this is the lowest number in the calculation, the tape will only make a turn of 45 degrees. Therefore, tape A will move to the 45 degree position. Tape D will also move to the 45 degree position since it is part of the calculation.

For the second calculation, we need to add A+D again. This time, the result will be 2+0=2. However, tape A is already in the 45 degree position, so it will not move. Tape D will also stay in the 45 degree position.

Finally, for the third calculation, we need to add A+D one more time. The result will again be 2+0=2. Since tape A and tape D are already in the 45 degree position, they will not move.

Therefore, the final positions of the tapes are:
Tape A: 45 degrees
Tape B: 0 degrees
Tape C: 0 degrees
Tape D: 45 degrees

This solution may not be the only correct one, as there may be multiple interpretations of the given information.
To solve this problem, let's break down the information given:

1. There are 3 tapes that can revolve 360°, each with similar features.
2. There are 4 possibilities for numbers: 2 (A), 4 (B), 6 (C), and 0 (D).
3. If D+C = A+B, each calculation makes a movement of 90°. However, if it's the lowest number in the calculation, it makes a turn of 45°.
4. We need to find the position in degrees if the tape adds A+D three times.

First, let's determine the value of A+D, which is 2+0 = 2.

Now, we have to calculate the angle change when adding A+D three times. Since 2 is the lowest number in the given set, each addition will result in a 45° turn.

So, after three additions of A+D:

45° (1st addition) + 45° (2nd addition) + 45° (3rd addition) = 135°

The position of the tape will be at 135° after performing A+D three times.

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Answer:

So the dimensions are 17 by 14.

Step-by-step explanation:

Answer:

ML/OP=MK/PN since sides of similar traingle are proportional

17/60=35/PN

PN=35×60/17=123.529=123.6 or 124

The measure of the side PN is 123.5.

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles

Given that triangle KLM is similar to triangle NOP.

If two triangles are similar, then their corresponding sides will be proportional.

From the figure,

Corresponding side of LM is PO.

Corresponding side of MK is NP.

Corresponding side of LK is ON.

So LM / PO = MK / NP = LK / ON

17 / 60 = 35 / PN = LK / ON

We need the length of PN.

17 / 60 = 35 / PN

17 × PN = 60 × 35

PN = (60 × 35) / 17

PN = 123.5

Hence the measure of the side of the triangle is PN = 123.5.

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Since the distance from station 20 60 to station 12 80. Then, The speed of the train is 60km/hr.

Given,

Distance between two stations = 240 km/hr.

Time taken by the train = 4 hours.

Speed:

The velocity of an object (usually denoted v) is the amount of its position change over time or per unit time; it is therefore a scalar quantity. The average speed of an object over a time interval is the distance traveled by the object divided by the duration of the interval; the instantaneous speed is the limit of the average speed as it approaches zero over the duration of the interval interval. Velocity is not the same as velocity.

From, the relation, we know that:

Speed = Distance/ Time

So, the speed of the train is :

Speed = 240km/ 04 hours

           = 60 km/hour.

Complete Question:

The distance between the two stations is 240 km. A train takes 04 hours to cover this distance. Calculate the speed of the train.

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Answer:

10.81 units

Step-by-step explanation:

Given data

point H ( -4,6 ) and point I ( 2,-3 )

x1= -4

y1=6

x2= 2

y2=-3

The formula for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-(-4))²+(-3-6)²)

d= √(2+4)²+(-9)²)

d= √(6)²+(-9)²)

d= √36+81

d=√117

d= 10.81 units

Hence the distance between the points is 10.81 units

(a) The number of derangements of aabcd is 9.

(b) The number of derangements of aabbcc is 2.

(a) To find the number of derangements of aabcd, we first note that there are 4! = 24 permutations of the letters in aabcd. We then need to count how many of these permutations are derangements, i.e., how many have none of the letters in their original positions.

If we fix a in its original position, then there are 3! = 6 ways to permute the remaining letters b, c, and d. Similarly, if we fix b, c, or d in its original position, then there are also 6 ways to permute the remaining letters.

However, if we fix two letters in their original positions, then there are only 2! = 2 ways to permute the remaining letters. Therefore, the number of derangements of aabcd is:

4! - (3! + 3! + 3! - 2! - 2! - 2!) = 24 - 9 = 15 - 6 = 9.

(b) To find the number of derangements of aabbcc, we first note that there are 6!/(2!2!2!) = 90 distinct permutations of the letters in aabbcc, taking into account that the two a's, two b's, and two c's are indistinguishable.

If we fix a in its original position, then there are 4!/(2!2!) = 6 ways to permute the remaining letters b, b, c, and c. Similarly, if we fix b or c in its original position, then there are also 6 ways to permute the remaining letters.

However, if we fix two letters in their original positions, then there are only 3!/(2!) = 3 ways to permute the remaining letters. Therefore, the number of derangements of aabbcc is:

6!/(2!2!2!) - (4!/2!2! + 4!/2!2! + 4!/2!2! - 3! - 3! - 3!) = 90 - 36 = 54 - 9 = 45.

Thus, there are 9 derangements of aabcd and 45 derangements of aabbcc.

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Answer:

idc

Step-by-step explanation:

Answer:

1. 41

2. 39

3. 55

4. 4

Step-by-step explanation:

Answer:

the first one.

Step-by-step explanation:

DJ and decorations are one time flat costs. they are constant. so, together, they are $300.

that is what decreases the profit.

on the other side, $5 per student = 5n in total increases our profit.

so, in total the sum of both (the decreasing amount has a negative sign, if course) :

5n - 300 = 1,500

is the right equation to calculate how many students are needed to make that much profit.

the solution, but the way :

5n - 300 = 1500

5n = 1800

n = 1800/5 = 360 students

Selina gave 2 stickers to each of her friends.

Robert bought 4 bottles of paint.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Selina had 21 stickers. She gave the same amount of stickers to each of her 9 friends and had 3 stickers left over.

This can be represented as,

9x + 3 = 21.

9x = 18.

x = 2.

So, she gave 2 stickers to each of her friends.

Robert went to an art supply store.

He got a pack of paintbrushes for $9 and some bottles of paint for $3 each.

His total came out to $21, before tax.

3x + 9 = 21.

3x = 12.

x = 4.

Robert bought 4 bottles of paint.

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Answer:

\(9\frac{1}{4}\) inches and 23.5 cm

Step-by-step explanation:

A student uses ruler to measure the length of their foot.

Given measurements are,

\(9\frac{1}{4}\) inches

\(9\frac{5}{64}\) inches

23.47659 cm

23.5 cm

23.48 cm

Most appropriate measurement that we can measure by a ruler is up to single decimal place.

Inches can be measured appropriately in quarters or halves also.

Therefore, \(9\frac{1}{4}\) inches and 23.5 cm are the correct options.

Answer:

.4

Step-by-step explanation:

Answer:

.0003, .04, .02, 2 4

Step-by-step explanation:

hope it helps

In this problem, we have a continuous exponential growth model

so

the equation is of the form

where

a is the initial value ------> a=2,100

y is the number of bacteria

x ----> number of hours

so

For x=2.5 hours, y=2,249 bacteria

substitute

solve for k

apply ln both sides

k=0.0274

convert to percentage