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We can actually deduce here that the circumstances under which you should use anova instead of t-tests is whenever you want to avoid an increase in error during the use of a t-test when comparing more than two population groups, then you can use ANOVA.

ANOVA is actually known to be "Analysis of Variance". It is known to be a collection of statistical models which are used during the analysis of the difference in means. It was actually developed by Ronald Fisher, a statistician.

We see here that when one wants to avoid increase in error, it is advisable to use ANOVA instead of t-test.

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Answer:

270

Step-by-step explanation:

Find the prime factorization of 54

54 = 2 × 3 × 3 × 3

Find the prime factorization of 90

90 = 2 × 3 × 3 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 3 × 5

LCM = 270

The Lower Control Limit (LCL) of a 3.6 control chart is 44.1.

To construct an appropriate statistical process control chart for the average time taken in the execution of a set of computerized protocols, data was collected for 30 samples each of size 40, and the mean of all sample means was found to be 50. The standard deviation of the sample-means was known to be 4.5 seconds.

A control chart is a statistical tool used to differentiate between common-cause variation and assignable-cause variation in a process. Control charts are designed to detect when process performance is stable, indicating that the process is under control. When the process is in a stable state, decision-makers can make informed judgments and decisions on whether or not to change the process.

For a sample size of 40, the LCL formula for the x-bar chart is: LCL = x-bar-bar - 3.6 * σ/√n

Where: x-bar-bar is the mean of the means

σ is the standard deviation of the mean

n is the sample size

Putting the values, we have: LCL = 50 - 3.6 * 4.5/√40

LCL = 50 - 2.138

LCL = 47.862 or 44.1 (approximated to one decimal place)

Therefore, the LCL of a 3.6 control chart is 44.1.

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Answer:

I'm pretty sure its c

Step-by-step explanation:

Answer:

get outta that bed and stop cheating lazy one begging people to do YOUR stuff

Step-by-step explanation:

Option b is true to match the vector field f with the given plot f(x, y)=x, -y

The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).

Given,

f(x, y) = x, -y

gt; at x⇒∞, y⇒-∞ downwards

at x⇒∞, y⇒+∞ downwards

Therefore, option b is true to match the vector field f with the given plot

f(x, y)=x, -y

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The complete question is as follows:

Match the vector field f with the correct plot. f(x, y) = x, −y

Answer:

16/81

Step-by-step explanation:

as there is (-) sign so when we multiply even negative numbers it becomes positive

Answer:

81/16

beacuse

the 4 is negative. so it will become the reciprocal

Answer:9

Step-by-step explanation:

if you divide 73 by 8 you get 9.1, you have to round it down to 9 since you cant have 9.1 full pages

Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

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The translations are:

First parabola: Translation up of 3 units --> g(x) = x² + 3

Second parabola: Translation down of 3 units.  --> g(x) = x² - 3

Third parabola: Translation left of 3 units.  --> g(x) = (x + 3)²

Fourth parabola: translation right of 3 units  --> g(x) = (x - 3)²

Remember that the vertex of the parent quadratic function:

f(x) = x²

is at the origin, which is the point (0, 0) in the coordinate axis.

Then to find the translations, we need to look at the vertices of each of the parabolas, doing that, we can see that:

First parabola: Translation up of 3 units

Second parabola: Translation down of 3 units.  

Third parabola: Translation left of 3 units.  

Fourth parabola: translation right of 3 units  

Each of the transformations is written as:

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Answer: 15,048

Step-by-step explanation:

Answer:  2 heads

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(heads)

=

heads

total

=

heads

heads+tails

=

4

4+2

=

4

6

=

2

3

The experimental probability is

2

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

2

3

=

n

3

2

3

(33)

=

n

3

(33) Multiply both sides by (33)

23

= 3n Simplify

6

= 3n Simplify

2

= n Divide both sides by 3

Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.

Questions

answered

16

Time

elapsed

00 22 05

HR MIN SEC

SmartScore out of 100

44

Need a break?

\(y^1\) when y is 5

\((5)^1\)

\(=\fbox{5}\)

\(x^2\) when x is 10

\((10)^2\)

\(=\fbox{100}\)

The value of the cotΘ will be 1.It is the ratio of the base and the perpendicular.

The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle.

The value of the cotΘ is found as;

\(\rm cot \theta = \frac{B}{P} \\\\ \rm cot \theta = \frac{5}{5} \\\\ cot \theta = 1\)

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Answer:

y = -5x/4 + 9

Step-by-step explanation:

Slope-intercept Form: y=mx+b where m=slope

In order to put the equation into slope-intercept form, solve for y:

10x + 8y = 72

8y = -10x + 72 ==> subtract 10x on both sides to isolate y

y = (-10x + 72)/8  ==> divide both sides by 8 to isolate y

y = -10x/8 + 72/8  ==> divide each term by 8

y = -5x/4 + 9  ==> simplify

The solution is : y = -5x/4 + 9, equation of a line into slope-intercept form, simplifying all fractions.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

we know that,

Slope-intercept Form:

y=mx+b

where m=slope

In order to put the equation into slope-intercept form, solve for y:

10x + 8y = 72

8y = -10x + 72 ==> subtract 10x on both sides to isolate y

y = (-10x + 72)/8  ==> divide both sides by 8 to isolate y

y = -10x/8 + 72/8  ==> divide each term by 8

y = -5x/4 + 9  ==> simplify

Hence, The solution is : y = -5x/4 + 9, equation of a line into slope-intercept form, simplifying all fractions.

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The given function y= x² + c/x² is a solution of the differential equation xy′ + 2y = 4x² for all values of c.

The value of c for which the solution satisfies the initial condition y(4) = 3 is -208.

The given function y= x² + c/x² is a solution of the differential equation xy′ + 2y = 4x², when c= 1/16. The solution satisfies the initial condition y(4)=3. Find the value of c for which the solution satisfies the initial condition y(4)=3.The given differential equation is xy′ + 2y = 4x²Given function y = x² + c/x²To prove that the given function is a solution of the differential equation, we need to differentiate the given function y with respect to x.

We get y′ = 2x - 2c/x³ Put these values of y and y′ in the given differential equation xy′ + 2y = 4x²x(2x - 2c/x³) + 2(x² + c/x²) = 4x²2x² - 2c/x² + 2x² + 2c/x² = 4x²4x² = 4x² Therefore, the given function y= x² + c/x² is a solution of the differential equation xy′ + 2y = 4x² for all values of c.

To find the value of c such that the solution satisfies the initial condition y(4) = 3.We know thaty = x² + c/x²At x = 4, y = 3 Substitute the value of x and y in the above equation3 = 4² + c/4²3 = 16 + c/16c/16 = 3 - 16c = (3 - 16)×16 = -208

Thus, the value of c for which the solution satisfies the initial condition y(4) = 3 is -208.

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Answer:

Answer:

The answer is correct

Step-by-step explanation:

Step-by-step explanation:

246 = 1 × 2 × 3 × 41

Answer:

3a) 110mm squared  3b) 800in squared

Step-by-step explanation:

3a) A=lw   A=5x6   A=30   30x3=90

     A=1/2xbxh   A=1/2x5x4   A=2x5   A=10   10x2=20

     90+20=110mm squared

3b) A=lw   A=16x16   A=256

     A=1/2xbxh   A=1/2x16x17   A=8x17   A=136   136x4=544

     256+544=800in squared

Value of x for which defined function f(x) = x²e⁻ˣ² gives the relative maximum value is equal to option D. -1 or  1.

Function 'f' is defined by f(x) = x²e⁻ˣ²

To get the relative maximum value of the function f(x) =  x²e⁻ˣ² find the first derivative we have,

f(x) =  x²e⁻ˣ²

Apply product rule of derivative :

d/dx ( u × v ) = v du /dx + u dv /dx

f' ( x ) =  e⁻ˣ² d/dx (x²) + x² d/dx (e⁻ˣ²)

⇒ f' (x) = 2x  e⁻ˣ² - 2x (x² ) ( e⁻ˣ² )

⇒  f' (x) = 2x  e⁻ˣ² - 2x³ e⁻ˣ²

⇒ f' (x) = 2x  e⁻ˣ²( 1 - x² )

To get the value of x for maximum function f' (x ) = 0 we get,

2x  e⁻ˣ²( 1 - x² ) = 0

⇒ 2≠0 or x =0 or  e⁻ˣ² ≠ 0 or 1 - x² = 0

⇒ x = 0 or x = ± 1

When

x = 0 ⇒ f(x) = 0

x = 1 ⇒ f(x) = e⁻¹

x = -1 ⇒ f(x) = e⁻¹

x = -1 or 1 represents the relative maximum value of f(x).

Therefore , value of x which represents the relative maximum value of the function f(x) = x²e⁻ˣ² is equal to option D. -1 or 1.

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Answer:

3 more kids

Step-by-step explanation:

Answer:

3 kids can join in on the fun.

Step-by-step explanation:

Total number of kids who can jump on the trampoline = 6

Kids jumping currently = 3

Therefore, The number of kids who can join the fun will be the difference of the total number of kids who can jump on the trampoline and kids jumping currently.

= 6 - 3

= 3

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The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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Answer:

arc PN = 164°

Step-by-step explanation:

given chords PM and PN are congruent.

• if 2 chords are congruent then the corresponding arcs are congruent

then

arc PN = arc PM = 164°

Answer:

-160

Step-by-step explanation:

All you have to do is substitute -2 for all values of x!

Is that last x raised to the power of 4 (looks like \(x^4\))?

If so, the equation is:

\(f(-2)=2(-2-3)(-2)^4\)

2(-5)(16)

-10(16)

-160

The fifth term of the expansion of (x − 5)⁶ is found as:  937x².

The Pascal triangle has a lengthy history. It may be traced back to India's Pingala people in the second century BC, who also knew various other binomial formulas at the same time.

Using the binomial series:

(n C r) = n! / (r1(n - r)!

Given equation: (x − 5)⁶

On comparing:

a = x, b = -5 and n = 6

x⁶ + (6C1).x⁶.(-5)¹ + (6C2).x⁴.(-5)² + (6C3)x⁴(-5)³ + (6C4).x²(-5)⁴ + (6C5).x¹.(-5)⁵ + (-5)

Using binomial calculator to solve the expression as;

x⁶ - 30x⁵ + 375x⁴ - 2500x³ + 937x² - 1870x + 15625

Thus, the fifth term of the expansion of (x − 5)⁶ is found as:  937x².

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19-73 19-73 70-65-46 I585

Answer:

A. \(UPC = 0-03700-80049-9\)

Step-by-step explanation:

Given

\(ID = 037000\)

\(Item\ Number = 80049\)

Required

The valid UPC

First, the UPC is represented as:

UPC = ID followed by item number followed by the checksum

So, we have:

\(upc = 0-03700-80049-X\)

To calculate X (the checksum)

Add up digits at odd positions

\(Odd = (0 + 7 + 0) + (8 + 0 + 9)\)

\(Odd = 24\\\)

Multiply by 3

\(Product = Odd * 3\)

\(Product = 24 * 3\)

\(Product = 72\)

Add up digits at even positions

\(Even = (3 + 0 + 0) + (0 + 4)\)

\(Even = 7\)

Add the product and the sum of even

\(Result = Product + Even\)

\(Result = 72+7\)

\(Result = 79\\\)

The last digit of the UPC is 9.

Hence, the UPC is:

\(UPC = 0-03700-80049-9\)