BRAINLIEST FOR THE 1ST AND/OR 2ND ANSWERThe fastest race horse ran `\frac{1}{4}` mile in `\frac{1}{3}` of a minute. What was the horse’s running speed?

You may find the table helpful for this problem, but remember the table won't be there on the test. If you like using the tables, you will need to create your own for the test. Tables are a great tool to help with this type of problem.

We utilize a two factors, independent measurements ANOVA, where, factor has 2 level and a factor likewise has 2 levels.

A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.

Factors and multiples are a part of our daily life. For example, they are employed in arranging objects in a box, handling money, recognizing patterns in numbers, solving ratios, and working with expanding

A number totally divides the provided number without leaving any residual is said to be the factor of that number.

The components of a number might be positive or negative. For example, let us find the factors of 8. Since 8 is divisible by 1, 2, 4, and 8, we may list the positive factors of 8 as, 1, 2, 4, and 8. Apart from this, 8 has negative elements as well, which might be stated as, -1, -2, -4,

According to our question-

Degrees of freedom for the F-test of the two way ANOVA

In this case, we utilize an ANOVA with two independent variables and two factors, each with two levels.

So, here,

= 2 for the number of layers of A

= B's level count is 2,

Moreover, n = sample size in each treatment condition is equal to 10.

So we have,

= df of the main effect A = ( - 1) = 2 - 1 = 1

= df of the main effect A = ( - 1) = 2 - 1 = 1

= df of interaction effect (A x B) = ( - 1)( - 1) ( - 1)

= (2-1)(2-1) (2-1)

= 1

And = df of within variation (i.e. error variation) =

= 2 x 2 x (10 - 1) (10 - 1)

= 36

Consequently, the df value for the F-ratio measuring factors-primary A's impact is

= () ()

= (1, 36) (1, 36)

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The conditional probability of drawing a three given the card is a heart is 1/13. This means that if we know a card is a heart, the probability of it being a three is 1/13.

The conditional probability of drawing a three given the card is a heart is the fraction of "the probability of drawing a three and a heart together" divided by "the probability of drawing a heart."

The sample space is reduced from all cards to "all cards that are hearts," which is a subset of the original sample space. There are 52 cards in a standard deck of cards, and 13 of those cards are hearts. Therefore, the probability of drawing a heart is 13/52, or 1/4.

To calculate the probability of drawing a three and a heart together, we need to consider that there is only one three of hearts in the deck, out of a total of 52 cards. Therefore, the probability of drawing a three and a heart together is 1/52.

Using these values, we can calculate the conditional probability of drawing a three given the card is a heart as follows:

P(B|A) = P(B and A) / P(A)

P(B|A) = (1/52) / (1/4)

P(B|A) = (1/52) * (4/1)

P(B|A) = 4/52

P(B|A) = 1/13

Therefore, the conditional probability of drawing a three given the card is a heart is 1/13. This means that if we know a card is a heart, the probability of it being a three is 1/13.

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Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

Answer:

y=4x

Step-by-step explanation:

4/5 - 1/5

y - x

1/5y=4/5x

y=4x

If bx = by in the cross product or vector product, the unit-vector notation of the resulting vector would be (0, 0, 1) or simply k-hat.

In the cross product or vector product of two vectors, the resulting vector is perpendicular to both of the original vectors. The direction of the resulting vector is determined by the right-hand rule, where the thumb represents the direction of the cross product.

If bx = by, it means that the x-component of the first vector is equal to the y-component of the second vector. In this case, the resulting vector will have an x-component and y-component of zero.

Since the resulting vector must be perpendicular to both vectors, its z-component must be non-zero. Therefore, the unit-vector notation of the resulting vector would be (0, 0, 1), where the z-component (k-component) is 1.

If bx = by in the cross product, the resulting vector in unit-vector notation would be (0, 0, 1) or simply k-hat. This indicates that the resulting vector has zero components in the x and y directions and a non-zero component in the z direction.

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Step-by-step explanation:

price difference= $45-$36

=$9

now,

x% of $45=$9

or, x/100 ×45 =9

or, x/20 ×9=9

or, x/20=1

therefore, x= 20%

Answer:

Step-by-step explanation:

Mr. Ernest can travel 65 miles with his motorcycle for each gallon of gas.

The unit rate = 64 miles per gallon.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

The values are given in the attached table.

From the table;

Motorcycle travels 640 miles on 10 gallons of gasoline.

To find the unit rate:

Divide the total distance in miles by the number of gallons of gasoline.

We get,

The unit rate = 640 / 10

The unit rate = 64 miles per gallon.

Therefore, the unit rate = 64 miles per gallon.

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The complete question;

Mr. Ernest wants to know how many miles, he can travel with his motorcycle for each gallon of gas.

The table is given in the image below.

What is the unit rate in miles per gallon?

The cost of each desk is $42.

The initial cost to make these new school desks is $635.

What is a solution of linear function?

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Assume that the cost of each desk be m.

The initial cost to make these new school desks be c.

Then the total cost will represent by the equation:

y = mx + c .....(i)

Putting x =21 and y = 1517 in the equation (i)

1517 = 21m + c ...(ii)

Putting x = 47 and y = 2609 in the equation (i)

2609 = 47m + c ...(iii)

Subtract equation (ii) from (iii)

47m + c =2609

21m + c = 1517

(-)     (-)     (-)

___________

26m = 1092

Divide both sides by 26

m = 42

Putting m = 42 in equation (ii)

1517 = 21 × 42 + c

1517 = 882 + c

c = 1517 - 882

c = 635

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Answer:

$8.55

Step-by-step explanation:

28.5 x 30 = 855

move the decimal two places to the right

$8.55

Answer: $8.55

Step-by-step explanation: I could be wrong, but 28.5 x 30 = 855

Move decimal two places to the right = 8.55

You don’t need to round because 8.55 to the nearest cent consider the thousandths' value of 8.55, which is 0 and less than 5. Therefore, the cents value of 8.55 remains 5.

Answer is $8.55

Answer:

\(2x+5y=20\)

Step-by-step explanation:

Rearranging the equation of the given line into intercept form,

\(5y+2x=10 \\ \\ \frac{x}{5}+\frac{y}{2}=1\)

This means the intercepts are \((5,0)\) and \((0,2)\).

We need to find the equation of the line with intercepts \((0,4)\) and \((10,0)\). This equation is \(\frac{x}{10}+\frac{y}{4}=1\), which rearranges to give \(2x+5y=20\).

Answer: is 2.5

Step-by-step explanation:

I looked it up

Answer:

M ( -4,9)

Step-by-step explanation:

Answer:

c. greater than 7

Step-by-step explanation:

Answer:

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Answer:

12

Step-by-step explanation:

Base area = 3×4/2 = 6 ft²

height = 6 ft

volume = 6×6/3 = 12 ft³

Answered by GAUTHMATH

Statements and reasons.

1) ∠1 and ∠3 are supplementary

Reason: This is true because it is stated in the question.

2) ∠1 + ∠3 = 180º

Reason: By statement 1, ∠1 and ∠3 are supplementary, and by definition, supplementary angles sum up 180º.

3) ∠2 = ∠3

Reason: From the picture we see that ∠2 and ∠3 are opposite congruent angles, so they are equal.

4) ∠1 + ∠2 = 180º

Reason: from statement 2 we have ∠1 + ∠3 = 180º, and from statement 3 we have ∠2 = ∠3, so we have ∠1 + ∠2 = 180º.

5) ∠1 and ∠2 are supplementary

Reason: from statement 4 we have that ∠1 sum up ∠2, so by definition ∠1 and ∠2 are supplementary.

6) line m || line n

Reason: from the picture we see that ∠1 and ∠2 are internal collateral angles of the lines m and n, and from statement 5 we know that ∠1 and ∠2 are supplementary, so we have that the angle between line m and line n is 180°, and by definition, they are parallel lines.

Summary of the reasons

1) It is stated in the question

2) By statement 1 and by definition of supplementary angles.

3) Because they are opposite congruent angles, so they are equal.

4) By statement 2 and 3.

5) By statement 4, and by definition of supplementary angles.

6) By picture ∠1 and ∠2 are internal collateral angles of the lines m and n, and by statement 5 they are supplementary so they are parallel lines.

Answer:

P= 29.389 ~ 29.4

Step-by-step explanation:

P= ns = 2rn sin(180/n)...... formula to find perimeter

p= 2(5)(5)sin(36)

p= 2(5)(5)sin(36)P= 50 ×0.5877

p= 2(5)(5)sin(36)P= 50 ×0.5877 P= 29.389 approximate to 29.4

Answer:

x=0,-2

Step-by-step explanation:

Therefore, the derivative of h(z) is h'(z) = 4az/(a^2 - z^2)^2.

To differentiate the given function h(z) = ln[(a^2 - z^2)/(a^2 + z^2)], we use the chain rule and the quotient rule of differentiation.

The chain rule tells us that if we have a function inside another function, we must first differentiate the outer function with respect to the appropriate variable, and then multiply by the derivative of the inner function with respect to the same variable. In this case, we have the natural logarithm function inside the larger expression, so we use the chain rule to differentiate it.

The quotient rule tells us that if we have a fraction where the numerator and denominator are both functions of the same variable, we can differentiate the expression by first differentiating the numerator and denominator separately, and then combining them using a specific formula. In this case, we have a fraction where the numerator and denominator are both functions of z, so we use the quotient rule to differentiate it.

h'(z) = d/dz [ln[(a^2 - z^2)/(a^2 + z^2)]]

= 1/[(a^2 - z^2)/(a^2 + z^2)] * d/dz [(a^2 - z^2)/(a^2 + z^2)]

= (a^2 + z^2)/(a^2 - z^2) * d/dz [(a^2 - z^2)/(a^2 + z^2)]

= (a^2 + z^2)/(a^2 - z^2) * [(d/dz)(a^2 - z^2)/(a^2 + z^2) - (a^2 - z^2)/(a^2 + z^2)^2 * (d/dz)(a^2 + z^2)]

= (a^2 + z^2)/(a^2 - z^2) * [(2z)/(a^2 + z^2) - 2z/(a^2 - z^2)]

= 4az/(a^2 - z^2)^2

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Answer:

a) ¿Cuál es el sabor favorito de los niños?

Chocolate con 50%

b) ¿Cuál es el sabor que menos les gusta a los niños?

Fresa con 20%

c) ¿Qué número de niños representan el 15%, 35% y 50%?

Tenemos 10 hijos,

Por lo tanto

1) 15% = 1.5

2) 35% = 3.5

3) 50% = = 5

Step-by-step explanation:

Se encuestó a 10 niños sobre su preferencia por el sabor del pastel. Fresa 20%

Chocolate 50%

Vainilla 30%.

a) ¿Cuál es el sabor favorito de los niños?

El sabor favorito de los niños es el sabor con mayor porcentaje = Chocolate con 50%

b) ¿Cuál es el sabor que menos les gusta a los niños?

El sabor que menos les gusta a los niños es el sabor con el menor porcentaje = Fresa con 20%

c) ¿Qué número de niños representan el 15%, 35% y 50%?

Tenemos 10 hijos,

Por lo tanto

1) 15% = 15% × 10 = 1,5

2) 35% = 35% × 10 = 3,5

3) 50% = 50% × 10 = 5

Answer:

4n + 6p + 3

Step-by-step explanation:

3n + 6p + 3+n​

In this equation, 3n + n are like terms. Adding 3n + n together gives 4n

4n + 6p + 3

Answer:

Option 1.) y = 125°

Step-by-step explanation:

We know that sum of exterior angles of any polygon is 360°. Therefore we can say;

70° + 60° + 65° + 40° + y° = 360°

235° + y° = 360°

y = 360 - 235

y = 125°

Therefore the measure of ∠y = 125°

Hope this helps!

Answer:

Step-by-step explanation:

P= a+b+c

P= 1512+223+314

=2049

The fraction of the weight of a giraffe is the weight of a lion 1/3.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Five lions are equal in weight to two lions and one giraffe.

So, Weight of 5 lion----> 2 lion + 1 Giraffe

So, here the weight of Giraffe corresponds to weight of 3 Lions.

Thus, fraction of the weight of a giraffe is the weight of a lion

= 1/3

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Answer:6 is 127 degrees

7 is 53 degrees

Step-by-step explanation:

Answer:

x=9*

Step-by-step explanation:

48*+(5x-3)*+90*=180*    (its is 180* because it is a line)

5x+135*=180*        (combine like terms)

-135*       -135*    (subtract 135*)

5x=45*       (divide by 5)

x=9*

dont mind the asterisks they are my degree signs

hope this helps

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A graphical device used for enumerating sample points in a multiple-step experiment is a tree diagram.

A tree diagram is a visual representation that helps organize and enumerate all possible outcomes or sample points in a multi-step or sequential experiment. It consists of branches or lines that represent different choices or events at each step of the experiment, and the branches split and multiply as the experiment progresses. The final outcomes or sample points are represented as endpoints of the branches.

Tree diagrams are commonly used in probability theory and statistics to calculate probabilities and analyze complex experiments involving multiple stages or events. They provide a clear and systematic way to visualize and enumerate all possible outcomes, making them a helpful tool in analyzing and solving probability problems.

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Answer:

perimeter of circle=2πr

16=2πr

r=16/2π=8/πcm

now.

area of circle=πr²=π(8/π)²=π×64/π²=64/(22/7)=64×7/22=20.36cm²

The least possible value for the mode is D=11

Let M be the median

According to the question, the two largest integers are M+2

Let a and b be the two smallest integers such that a<b

Accordingly, the sorted list can be concluded as a,b, M, M+2, M+2

Since the median is 2 greater than their arithmetic mean, we have,

{a+b+M+(M+2)+(M+2)/5 }+2 =M

OR, a+b+14=2M

Note that a+b must be even.

We minimize this sum so that the arithmetic mean, the median, and the unique mode is minimized.

Let a=1 and b=3

from which M=9 and

M+2=11

Therefore, The least possible value for the mode is D=11

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