¿Cuál de las siguientes fracciones es mayor? 8/10 1/4 1/2 5/2​

Answer:

a

Step-by-step explanation:

29580+3440 = 33020

Answer:

D

Step-by-step explanation:

IT SAYS IT IN THE PROBLEM

Answer:

c. 59.3 ft²

Step-by-step explanation:

½× [(3.14×5²) + (10×4)]

= ½ × (78.5+40)

= ½× 118.5

= 59.3

Answer:

the bottom one

Step-by-step explanation:

They are both the same ab and bc but im not entirely  sure

Because AB, AC, and BC describe the same line, we conclude that the last option is the false one.

On the graph, we can see a line that contains points A, B, and C.

Now we want to see which statement is false.

Now, because A, B, and C are on the same line, is trivial that:

AB, AC, and BC (these 3 lines) have the same slope, because these are 3 different names for the exact same line.

Then we can conclude that the incorrect statement is the last one.

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Answer:

Cow

Step-by-step explanation:

The Cow's heartbeat is 520 beats in 8 minutes. This means that you can divide 520 by 8 to get your beats per minute count. 520/8 = 65.

Answer:cow

Step-by-step explanation:

To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.

The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:

SSR = ∑(yi - (a1xi + a2xi^2))^2

To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.

Partial derivative with respect to a1:

∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0

Partial derivative with respect to a2:

∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0

Expanding the above equations:

∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)

∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)

Now, let's solve these equations to find the values of a1 and a2.

From equation (1):

a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)

From equation (2):

a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)

We can express equations (3) and (4) in matrix form as:

| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |

| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |

Solving this system of linear equations will give us the values of a1 and a2.

Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.

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A) A percent equation that represents the relationship of the height of the first copy to the height of the original photo:

q = 80% × p

where q is the height of the first copy

and p is the height of the height of the original photo

B) To make another copy that will have a height of 17 cm, she should use her first copy.

We know that in order to determine the percentage, we divide the value by the total value and then multiply the resultant by 100.

The formula for the percentage would be,

percent = (number of parts / total number of possible parts) × 100%

Let the size of the page be p and q be the reduced size of the page.

When it is reduced to 80%, its size becomes

q = 80% × p

here, p = 25 cm

q = 0.80 × (25)

q = 20 cm

So, the height of the firt copy is 20 cm

Lyndie want to make another copy that will have a height of 17 cm.

Let x % be the reduction size.

If she makes second copy of the original photo then,

x = (17/25) × 100

x = 68%

This is not possible as, the copy machine setting increase or decrease in increment of 5%

If she makes second copy from the first photo then using percentage formula,

x = (17/20) × 100

x = 85%

therefore, she should use her first copy.

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Answer:

certification

Step-by-step explanation:

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

A. When the team scored 52 points, the median number decreased.

Step-by-step explanation:

The median now is 88. Without the 52, (using the median formula,) it would become 88.5. Since 88.5 is larger than 88, it means the median decreased after 52 was added. There was no change when 91 was added.

The correct answer is option D. 1 1/2. This would mean that the difference between the medians is 1.5 times larger than the interquartile range for the boys.

The median is a measure of central tendency in a set of data, and it is the value that separates the data into two equal parts, with half of the values falling below it and half of the values falling above it. The interquartile range (IQR) is a measure of dispersion that describes the range of values within the middle 50% of the data.

In this case, the difference between the medians of boys and girls is described as a multiple of the interquartile range for the boys. This multiple would represent how many times larger or smaller the difference between the medians is than the IQR for the boys.

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Variation can be direct, inverse or jointly

Jordan's first error is that he incorrectly calculated the value of proportionality constant

From the question, we understand that f varies directly as the square root of g.

This variation is represented as:

\(\mathbf{ f\ \alpha\ \frac{1}{\sqrt{g}}}\)

Express as a equation

\(\mathbf{ f\ \ =\ k\frac{1}{\sqrt{g}}}\)

When f = 4, k = 4.

So, we have:

\(\mathbf{ 4\ \ =\ k\frac{1}{\sqrt{4}}}\)

\(\mathbf{ 4\ \ =\ \frac{k}{2}}\)

Multiply both sides by 2

\(\mathbf{ k = 8}\)

When g = 100, we have:

\(\mathbf{ f\ \ =\ k\frac{1}{\sqrt{g}}}\)

\(\mathbf{ f\ \ =\ 8 \times \frac{1}{\sqrt{100}}}\)

\(\mathbf{ f\ \ =\ 8 \times \frac{1}{10}}\)

\(\mathbf{ f\ \ = 0.8}\)

This means that, Jordan incorrectly calculated the value of proportionality constant

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Answer:

45 grapes

Step-by-step explanation:

23

The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

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The probability that the sample mean diameter for the 3535 columns will be greater than 8 in is approximately 0.9934.

To calculate this probability, we can use the Central Limit Theorem (CLT). According to the CLT, when the sample size is large enough, the distribution of the sample means will be approximately normally distributed, regardless of the shape of the population distribution.

In this case, we know that the population standard deviation is 0.15 in. Let's assume that the population mean is μ. Since the sample size is large (3535), we can use the normal distribution to approximate the distribution of the sample mean.

To find the probability that the sample mean diameter will be greater than 8 in, we need to calculate the z-score corresponding to 8 in and then find the area under the standard normal curve to the right of this z-score. The formula to calculate the z-score is:

z = (x - μ) / (σ / √n)

where x is the value of interest (8 in), μ is the population mean (unknown), σ is the population standard deviation (0.15 in), and n is the sample size (3535).

Substituting the values into the formula, we get:

z = (8 - μ) / (0.15 / √3535)

To find the area under the standard normal curve to the right of this z-score, we can use a standard normal table or a statistical software. The resulting probability is approximately 0.9934.

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The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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Answer:

He spent $30.54

Step-by-step explanation:

$4.45+$16.30=$20.75

$20.75 times 1.0865=$22.544875 rounded to 2 d.p. = $22.54

$22.54+$8=$30.54

The measure of each angle formed at the center of a regular octagon set in a circle is 45°.Therefore, option (b) 45° is the correct answer.

An octagon has 8 vertices and 8 angles. Since the octagon is regular, all 8 angles of the octagon are congruent. Let's divide the regular octagon into 8 congruent isosceles triangles by drawing radii to each vertex. Since the octagon is regular, each triangle is congruent. In other words, each triangle has two congruent sides and two congruent angles. Now, let's look at one of these triangles. The two congruent angles are opposite to the two congruent sides. Let's call the measure of one of these angles x. Therefore, the other angle also measures x. The sum of the three angles in any triangle is 180°.Therefore,2x + y = 180° --------------(Equation 1)where y is the angle formed at the center of the octagon, that we want to find. Therefore, y = 360° / 8 = 45°.Substituting this value of y in Equation 1, we get:2x + 45 = 180°2x = 180° - 45° = 135°x = 135° / 2 = 67.5°Thus, each angle of the isosceles triangles, and each angle at the center of the octagon measures 45°. Therefore, option (b) 45° is the correct answer.

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Answer:

300 + w ≤ 700

Step-by-step explanation:

It would not be 300 + w = 700 because you have to write at least 700 words, so 300 + w must be equal to or greater than 700, and the equal to or greater than sign is ≤

I hope this helps :)

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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Answer:

G (-3,-1)

H (-2,-3)

I (1,1)

Step-by-step explanation:

After a reflection across y=2, the y-coordinates of the vertices will change sign while the x-coordinates remain the same. Thus, the new coordinates of the vertices will be:

G (-3,-1)

H (-2,-3)

I (1,1)

Answer:

G (3,3) , H (2,5), I (-1,1)

Step-by-step explanation:

Since it’s flipped over the Y-Axis, the X-Axis numbers remain the same.

WRONG!!

didnt read the question correctly, so the vertices are incorrect lol.

Answer:

15 < X > 31

Step-by-step explanation:

From triangle theorem,a triangle with sides X, Y, Z, the sum of any 2 sides must be greater than the third side i.e;

1. X + Y > Z

2. Y + Z > X

3. X + Z > Y

We are given 2 sides say Y = 8 and Z = 23.

Thus,Range of values is expressed as;

Z - Y < X > Z + Y

23 - 8 < X > 23 + 8

15 < X > 31

Answer:

B/2) Two-Thirds Or 2/3

Step-by-step explanation:

The long-run proportion of time Marvin spends in room 5 is 0.214.

We can approach this problem using the concept of Markov chains, where Marvin's movements between the rooms can be represented as a sequence of states. In this case, the states are the rooms, and the probabilities of moving from one room to another are given by the fact that Marvin is equally likely to choose any available door.

We can represent this as a transition probability matrix P, where P(i,j) is the probability of moving from room i to room j. Since Marvin is equally likely to choose any available door, the probability of moving from room i to room j is 1/n(i), where n(i) is the number of doors available in room i. For example, n(5) = 2, since room 5 has two doors.

The transition probability matrix P is:

   1       2       3     4     5     6

1   0     1/2   1/2     0     0     0

2   1/3   0     1/3   1/3    0     0

3   1/2   1/2   0       0     0     0

4   0     1/3    0       0     1/3   1/3

5   0      0      0     1/2    0     1/2

6   0      0      0     1/2   1/2    0

To find the long-run proportion of time Marvin spends in room 5, we need to find the stationary distribution of the Markov chain. This is a probability distribution over the states that remains unchanged as the chain evolves over time.

The stationary distribution can be found by solving the equation πP = π, where π is the stationary distribution. This can be rewritten as (P^T - I)x = 0, where x = (π1, π2, ..., π6) and I is the identity matrix. We also need the constraint that the sum of the elements of x is 1, since x is a probability distribution.

Solving this system of equations gives us:

π1 = 9/56

π2 = 5/28

π3 = 3/28

π4 = 1/8

π5 = 3/14

π6 = 1/56

Therefore, the long-run proportion of time Marvin spends in room 5 is π5 = 3/14, or approximately 0.214.

Correct Question :

Suppose that Marvin the rat travels through a maze of 6 rooms. Doors between the rooms are depicted as breaks in the walls. At each time step, Marvin will move to a neighboring room. He is equally likely to choose from any of the available doors. What is the long-run proportion of time Marvin spends in room 5?

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Answer:

p = \(-\frac{15}{2}\), p = \(\frac{17}{2}\)

Step-by-step explanation:

1. Subtract 15 from both sides:

- |2p -1| = -16

2. Divide both sides by -1:

\(\frac{-|2p - 1|}{-1} = \frac{-16}{-1}\)

|2p - 1| = 16

3. Apply the absolute value rule (If |u| = a, a > 0, then u = a, or u = -a)

2p - 1 = 16  or  2p - 1 = -16

4. Solve for the positive and negative intervals:

2p - 1+1 = 16+1

2p = 17

\(\frac{2p}{2} = \frac{17}{2}\)

p = \(\frac{17}{2}\)

2p - 1+1 = -16+1

2p = -15

\(\frac{2p}{2} = \frac{-15}{2}\)

p = \(\frac{-15}{2}\)

hope this helps!

Answer:

70%

Step-by-step explanation:

100%-30% = 70%

If you drive with a speed of 1 Amph, you are exceeding the speed limit of 35 m/s since 1 Amph is equal to 44.7 m/s. The value of P will depend on the specific values of A, B, and C given.

5. In scientific notation, the final answer after taking the C value and multiplying it by 100000 is 3.92 x 10^6. There are 3 significant figures in the final answer.

6. The correct answer after calculating A/5.00+C/20.00+D∗0.0005 will depend on the specific values of A, C, and D given. Without knowing those values, it is impossible to determine the final answer.

7. To convert Amph (miles per hour) to SI unit (m/s), you need to divide the speed in mph by 2.237. Therefore, 1 Amph = 0.447 m/s. If you drive with a speed of 1 Amph, you are exceeding the speed limit of 35 m/s since 1 Amph is equal to 44.7 m/s.

8. The SI unit of P, calculated using the formula P = 5AB(B-C)^2, would be kg^2/s^2. The value of P will depend on the specific values of A, B, and C given. Without knowing those values, it is impossible to determine the value of P.

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