in a factorial anova, compared to a design with only one independent variable, a major modification of using anova to analyze variability is that the sources of

Approximately it will take 2 minutes to pass before they are 3 miles apart.

The time can be defined as the ratio of distance covered by an object to a unit speed. Time refers to the progression of events.

The Formula of Time of a given body can be expressed as,

Time = Distance÷Speed

one group takes a taxi uptown, traveling north at 35 miles per hour

The rest of the friends share another taxi, traveling south at 44 miles per hour

Suppose X as a time before they are 3 miles apart

so forming the equations:

35x+44x=3

79x=3

x=3/79hours.

To convert into minutes multiply x by 60 because 1 hour=60 min

x=3/79*60

x=0.0379*60

x=2.278

x=2 minutes.

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The function rule for the functions f(x) and g(x) given by the table are;

f(x) = Log₁₀x

g(x) = 2ˣ

1) In the first table of the function f(x), we see the coordinates as;

(10, 1), (100, 2), (1000, 3), (10000, 4), (100000, 5)

Thus, we see that;

Log 10 = 1

Log 100 = Log 10² = 2 Log 10 = 2

Log 1000 = Log 10³ = 3Log 10 = 3

Thus, the function rule is Log₁₀x

2)  In the second table of the function g(x), we see the coordinates as;

(1, 2), (2, 4), (3, 8), (4, 16), (5, 32)

Thus, we see that;

2¹ = 2

2² = 4

2³ = 8

Thus, the function rule here is 2ˣ

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Answer:

-10

Step-by-step explanation:

f(x)=3x+2

f(-4)=3(-4)+2

f(-4)=-12+2

f(-4)=-10

The match of vector field f for  f(x, y) = y, x is graph II .

We can say that some points for the given function are F(1,2)= (2,1) F(2,1) =(1,2) F(0,1) = (1,0) F(2,3) = (3,2) F(0,2)=(2,0) .

That means arrow heads should start with these points and this is shown accordingly in graph II only.

Therefore ,

option A matches with figure 2

option B matches with figure 1

option C matches with figure 3

option D matches with figure 4

A vector field is a way to visualize them as represented by a number of small arrows each having a magnitude or a direction.

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The correct answer is 4. Any x-values that result in the denominator being equal to 0.

When finding the domain of the quotient of two functions, we need to consider the domains of both the numerator and the denominator. The domain of a function is the set of all possible input values for which the function is defined. For the quotient of two functions, this means that the domain is the set of all x-values that are in the domains of both the numerator and denominator.

However, there is one additional restriction on the domain of the quotient of two functions. The denominator of the quotient cannot be equal to 0, because division by 0 is undefined. Therefore, any x-values that result in the denominator being equal to 0 are not included in the domain of the quotient.

In summary, the x-values that are not included in the domain of the quotient of two functions are any x-values that result in the denominator being equal to 0.

Answer:

Below

Step-by-step explanation:

x = a number

7 / (x+8)

1.521 is the probability when the die is rolled at least two times which is greater than 3.

Probability: It is an event that depends upon the number of favorable outcomes and the total outcomes, and also defines the ratio of the number of favorable outcomes to the total outcomes in that sample space.

The general formula for probability is:

P(A)=n/N=outcomes in A/outcomes in sample space.

Here, a number greater than 3 we can take as 4 or 5 so the total number of dies rolled is 4, and the total number of the die is 6 which is rolled 2 times greater than 3.

[tex]P(A)=2-(\frac{5}{6} )^4\\\\P(A)=2-(\frac{625}{1296} )\\\\P(A)=\frac{2592-625}{1296} \\\\P(A)=\frac{1971}{1296} \\\\P(A)=1.5208333[/tex]

Thus, the total probability is 1.521

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Answer: When viewed from the side, the spire forms an isosceles triangle m, the area of the isosceles triangle is equal to  1/4b√4a²-b².

Step-by-step explanation:

What is isosceles triangle?

A triangle with two equal-length sides is said to be isosceles. The triangle's third side is referred to as the base, while the triangle's two equal sides are known as the legs. The triangle's legs are usually shorter than the base, which is usually the triangle's longest side.

To determine if the spire on top of a building forms an isosceles triangle when viewed from the side, we first need to define the three sides of the triangle. Let's call the two sides that are equal in length "s" and the third side "l".

Next, we need to determine if the triangle satisfies the definition of an isosceles triangle. The two sides "s" of the spire must therefore be of equal length for the spire to create an isosceles triangle.

To confirm this, we can measure the length of the sides "s" and compare them to each other. If they are equal in length, then the spire forms an isosceles triangle. If they are not equal in length, then the spire does not form an isosceles triangle.

For example, if the base of the triangle is 10 feet and the length of the two equal sides is 10 feet, then the triangle is isosceles. Therefore, the spire on the top of the building forms an isosceles triangle when viewed from the side.

Therefore, if the two sides "s" of the spire are equal in length, then the spire forms an isosceles triangle when viewed from the side.

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An isosceles triangle is a triangle with two sides of equal length and two equal angles.

What is isosceles triangle?

An isosceles triangle is a type of triangle that has two sides of equal length and two angles of equal measure. The two sides of equal length are the two legs of the triangle, while the third side is called the base. The angles opposite the two equal sides are equal in measure, while the angle opposite the base is the third angle. Isosceles triangles are classified according to the measure of their angles. An equilateral triangle is an isosceles triangle with all angles equal to 60°. An isosceles triangle with two angles equal to 45° is called an isosceles right triangle. An isosceles triangle with two angles equal to less than 45° is referred to as an acute isosceles triangle, while an isosceles triangle with two angles equal to more than 45° is referred to as an obtuse isosceles triangle. Isosceles triangles have many practical uses in engineering and architecture. For example, buildings and bridges often feature isosceles triangles in their roofs and arches in order to provide strength and stability.

When viewed from the side, the spire on the top of a building forms an isosceles triangle because it has two equal sides (the sides running up the spire) and two equal angles (the angles at the base of the spire).

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Answer:

See below.

Step-by-step explanation:

Given expression:

[tex]2(7^n) - 2(7^{n-1})+7^{n+1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 2(7^n) - 2(7^{n-1})+7^{n} \cdot 7^1[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\implies 2(7^n) - 2\left(\dfrac{7^{n}}{7^{1}}\right)+7^{n}\cdot 7^1[/tex]

Simplify:

[tex]\implies 2(7^n) - \dfrac{2}{7} (7^n)+7(7^{n})[/tex]

Factor out the common term 7ⁿ:

[tex]\implies \left(2- \dfrac{2}{7} +7\right)7^{n}[/tex]

Therefore:

[tex]\dfrac{61}{7}(7^n)[/tex]

A prime number is a whole number greater than 1 that cannot be made by multiplying other whole numbers.  Therefore, the factors of a prime number are 1 and the number itself.

If n is an integer greater than 1, the number will always have at least 4 factors (1, 7, 61 and itself) and therefore cannot be a prime number by definition.

For example:

[tex]n = 2 \implies \dfrac{61}{7}(7^2)=61 \times 7=427[/tex]

[tex]n = 3\implies \dfrac{61}{7}(7^3)=61 \times 7^2=2989[/tex]

Therefore, the largest prime number is when n = 1:

[tex]n = 1 \implies \dfrac{61}{7}(7^1)=61[/tex]

Answer:

-6p+12q

Step-by-step explanation:

−3(2p − 4q)

Distribute the -3

-3 * 2p -3 * -4q

-6p+12q

Answer:

[tex] \sf \: d) \: -6p + 12q [/tex]

Step-by-step explanation:

Now we have to,

→ simplify the given expression.

The expression is,

→ -3(2p - 4q)

Let's simplify the expression,

→ -3(2p - 4q)

→ -3(2p) - 3(-4q)

→ (-3 × 2)p - (3 × -4)q

→ -6p - (-12)q

→ -6p + 12q

Hence, answer is -6p + 12q.

The probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).

To find the probability that a person first clicks on the advertisement the 8th time it appears (vvv = 8), we can use the geometric probability formula:

[tex]P(X = k) = (1 - p)^{(k-1)}* p[/tex]

where:

P(X = k) is the probability of the event occurring on the kth trial,

p is the probability of success (clicking on the advertisement) on a single trial, which is 2% or 0.02 in decimal form,

k is the number of trials (number of times the advertisement appears) until the first success (first click).

In this case, k = 8 (the 8th time the advertisement appears) and p = 0.02.

[tex]P(X = 8) = (1 - 0.02)^{(8-1)} * 0.02\\P(X = 8) = (0.98)^7 * 0.02[/tex]

P(X = 8) ≈ 0.0177

So, the probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).

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When a coin is weighted, there is a two-thirds chance that it will land on its head. suppose you toss this coin 15 times. let x represent the number of heads. Mean = 10 and Standard deviation = 2.88

The mean of x, which represents the number of heads when the coin is tossed 15 times, is 10. This is because the probability of getting heads is two-thirds, meaning that two out of every three tosses will result in heads.We apply the following formula to determine the standard deviation:

Standard Deviation = √(p*q*n), where p is the probability of getting heads, q is the probability of getting tails, and n is the number of tosses. In this case, p = 2/3, q = 1/3, and n = 15, so the standard deviation of x is 2.88.

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Answer:

Let the width of the rectangle be w.

Then the length of the rectangle is w+2.

The perimeter of the rectangle is the sum of all its sides, so it is 2(w) + 2(w+2) = 60.

Expanding the parentheses and combining like terms, we get:

2w + 2w + 4 = 60

4w + 4 = 60

4w = 56

w = 14

The width of the rectangle is 14.

The length of the rectangle is 14+2 = 16.

Therefore, the length of the rectangle is 16 and the width is 14.

First, we need to find the total area of the land that is planted with cereals. To do this, we multiply the total area of the land, which is 2 hectares, by the percentage of the land that is planted with cereals, which is 100% - 20% - 10% = 70%. This gives us a total area of 2 hectares * 70% = 1.4 hectares.

Next, we need to divide the total area of 1.4 hectares into three parts, one for each type of cereal. Since 20% of the land is planted with corn, the area of land planted with corn is 1.4 hectares * 20% = 0.28 hectares. Similarly, since 10% of the land is planted with oats, the area of land planted with oats is 1.4 hectares * 10% = 0.14 hectares. Finally, the area of land planted with wheat is 1.4 hectares - 0.28 hectares - 0.14 hectares = 0.98 hectares.

Since 1 hectare is equal to 10,000 square meters, the area of land planted with corn is 0.28 hectares * 10,000 square meters/hectare = 2,800 square meters. The area of land planted with oats is 0.14 hectares * 10,000 square meters/hectare = 1,400 square meters, and the area of land planted with wheat is 0.98 hectares * 10,000 square meters/hectare = 9,800 square meters. So, each surface of land planted with corn is 2,800 square meters, each surface of land planted with oats is 1,400 square meters, and each surface of land planted with wheat is 9,800 square meters.

The measure of the other part i 4x is 40degrees.

What is right angle measures?

Right angles may be found everywhere around us. The corners of a room, a book, a cube, windows, among other locations, all have right angles. The most typical right angles are those formed by a vertical and a horizontal line. However, right angles are also created when diagonal lines cross one other.

The words "right" and "correct" share the same origin, although "right angle" comes from the second meaning rather than the first. Ancient geometry defined a right angle as the intersection of two straight, or right, lines in relation to dimensional axes.

A right angle measures 90 degrees, so the part labeled 2x measures 90-10 = 80 degrees. If 2x is 80 degrees, x must be 40 degrees.

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The number of Patricio votes is 52

From the question, we have the following parameters that can be used in our computation:

Number of people = 80

Proportion of votes = 65%

The number of Patricio votes is then calculated as

The number of Patricio votes = Proportion of votes * Number of people

Substitute the known values in the above equation, so, we have the following representation

The number of Patricio votes = 65% * 80

Evaluate

The number of Patricio votes = 52

Hence, the votes is 52

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Answer:Isn't this cheating

Step-by-step explanation:

The z-score of the value 62 in the distribution is -4.25

From the question, the given parameters about the distribution are

Mean value of the set of data = 79

Standard deviation value of the set of data = 4

The actual data value = 62

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (62 - 79)/4

Evaluate the difference

z = -17/4

Evaluate the quotient

z = -4.25

Hence, the z-score is -4.25

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Answer: 6050

Step-by-step explanation: 2800 + 3250 = 6050

Answer:2500

Step-by-step explanation:

The Amount increases to 2800 after 2 years

it increases 3250 after 5 years

so , in 3 years it increased ( 3250-2800) = 450 rupees.

in 3 years it increased 450

so in 1 it increased 150

according to the problem the sum amounts to 2800 rupees

so in 2 years it increased (150*2)=

300 rupees ,

So the sum was (2800-300) =

2500 rupees

Answer:

y = 10 cm

Step-by-step explanation:

A = 12 · 5 / 2

A = 6 · 5 = 30 cm²

y = 30 · 2 / 6

y = 5 · 2

y = 10 cm

After solving the given expression, the value of obtained for f is equal to 55.5.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.

As per the given information in the question,

The given expression is,

-2.2 + 0.4f - 14 - 6

-2.2 + 0.4f - 20

0.4f - 22.2

0.4f = 22.2

f = 22.2/0.4

f = 55.5

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Answer:

36 gals

Step-by-step explanation:

45% more is needed to be 100% full

45% is .45 in decimal

.45 * 80 = 36 gals

The double integral of (2x)/(1+xy)dA over the rectangular region R = [0, 2]×[0, 1] give an approximate value of 2.0044.

Therefore, the answer is 2.0044.

By double Riemann sum,

∫∫(2x)/(1+xy) dA ≈ ∑(i = 1 to m)∑(j = 1 to n)f(xij*⁻, yij*⁻)ΔA

R = [0, 2]×[0, 1], that is a = 0, b = 2, c = 0, d = 1

Dividing R into four squares with m = n = 2 and corners of each square chosen (1, 1), (1, 2), ( 2, 1) and (2, 2). So midpoint of the square is (0.5, 0.5), (0.5, 1.5), ( 1.5, 0.5) and (1.5, 1.5)

Δx = (b - a)/m = 1

Δy = (d - c)/ n = 0.5

ΔA = ΔxΔy = 0.5

∫∫(2x)/(1+xy) dA ≈ ∑(i = 1 to 2)∑(j = 1 to 2)f(xij*⁻, yij*⁻)ΔA

= ΔA × (  f(0.5, 0.5) + f(0.5, 1.5) + f( 1.5, 0.5) + f(1.5, 1.5))

= 0.5 × ( (2×0.5)/(1+0.5×0.5) + (2×0.5)/(1+0.5×1.5) + (2×1.5)/(1+1.5×0.5) + (2×1.5)/(1+1.5×1.5))

≈ 0.5 × 4.0088

= 2.0044

--The question is incomplete, answering to the question below--

"Calculate the double integral.

(2x)/(1+xy) dA

R = [0, 2]×[0, 1]"

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Answer:

f(-2) = -2

Step-by-step explanation:

Step 1: Substitute -2 for the variable n.

f(-2) = (-2)^2 + 3(-2)

Step 2: Simplify the expression.

f(-2) = 4 - 6

Step 3: Evaluate the expression.

f(-2) = -2

Randy needs 8 loads.

To find the answer on the question we have to follow the method of multiplication and division .

A washing machine can hold [tex]\frac{3}{4}[/tex] kg of laundry in each load.

[tex]\frac{3}{4}[/tex] kg of laundry is equal to 1 load.

[tex]\frac{3}{4}[/tex] kg of laundry =  1 load

1 kg of laundry  =  [tex]\frac{1 * 4}{3}[/tex] load ( following the method of division )

1 kg of laundry = [tex]\frac{4}{3}[/tex] load

Randy has 6kg of laundry.

So, 1kg of laundry i.e [tex]\frac{4}{3}[/tex] load is to be multiplied by 6.

6kg of laundry = [tex]\frac{4 * 6}{3}[/tex] load ( following the method of multiplication)

                         = 8 loads

Hence, Randy needs 8 loads.

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the region lies above the x -axis. f ( x )= x2 + x , x = −4, x = 2.The area of the region is (2^2 + 2) - (-4^2 + -4) = 26.

To determine the area of the region bounded by the given function, the x-axis, and the given vertical lines, we must first calculate the area of the region. To do this, we need to find the area of the region above the x-axis. To do this, we must calculate the area under the function between the given vertical lines. The area of the region is the area under the function f(x) = x2 + x between x = -4 and x = 2.

(2^2 + 2) - (-4^2 + -4)

= 26.

This can be calculated by solving the integral of the function from -4 to 2, which gives us the answer of 26.

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Answer:

330/(175 + 175 + 175 +330)

= 330/855

= 0.3859

= 22/57 of the ingredients is oats

CREDITS:

The cost of the drink after discount is 3.56 dollars.

You don't have enough money to buy the drink.

You are short of 0.89 dollars.

The price of a venti vanilla bean Frappuccino from Starbucks is $4.45, but you have only $3 with you. Your friend is working and gets you a discount of 20%.

The cost of the drink with discount can be calculated as follows:

amount discounted = 20% of 4.45

amount discounted = 20 / 100 × 4.45

amount discounted = 89 / 100

amount discounted =  0.89 dollars

Therefore,

cost of the drink after discount = 4.45 - 0.89

cost of the drink after discount = 3.56 dollars

Therefore, you don not have enough money to buy the drink.

You are short of 4.45 - 3.56 = 0.89 dollars.

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The Anova assumptions are each population is normally distributed and the Types of Assumptions. Brookfield (1995) classifies assumptions into 3 categories: paradigmatic, prescriptive, and causal.

ANOVA assumes that the information is usually distributed. The ANOVA additionally assumes homogeneity of variance, because of this that that the variance many of the organizations must be about equal. ANOVA additionally assumes that the observations are impartial of every other. is primarily based totally on the idea that the populations must have the identical variance and they may be usually distributed.

Also, the pattern must be decided on randomly and independently from the populations. The handiest assumption that isn't required to apply ANOVA is c) All samples are of the identical size.The factorial ANOVA has a numerous assumptions that want to be fulfilled – (1) c programming language information of the based variable, (2) normality, (3) homoscedasticity, and (4) no multicollinearity.

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