can i have help please NO LINKS!! again​

First, do the prime factorization.

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The GCF is the product of their shared factors.

They share 2, 2, 2, and 3.

2 x 2 x 2 x 3 = 24.

Their GCF is 24.

The greatest common factor of the given numbers 96 and 72 will be equal to 24.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given number for GCF in the question,

Firstly, factorize the given numbers,

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The result of their shared factors is the GCF.

2 x 2 x 2 x 3 = 24.

Therefore, the GCF is 24.

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Answer:

0=0 one solution minus three equal to zero no solution

The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

\(10\)

\(16\)

Explanation:

A rational number is a number that can be expressed as the quotient or fraction of two integers.

Step-by-step explanation:

1. 35.7/0.07=510

2. 486.12/0.6=810.2 approximately 810

3. 3.43/0.035=98

4. 5418.54/0.009=602,060

5. 812.5/1.25=650

6. 17.343/36.9=0.47 approximately 1

Answer:

2m/s south

Step-by-step explanation:

p = mv

Where p is the momentum, m is the mass, while v is the velocity.

Given that

m = 25kg

v = ?

p = 50kgm/s

Substituting the values into the formula.

50kgm/s = 25×v

50kgm/s = 25v

Divide both sides by 25

v = 50/25

v = 2m/s

From the option list, the answer is

2m/s south

Answer:

161ft^2 is answer

Step-by-step explanation:

area of rectangle = l ×b

=7ft ×23ft

=161ft^2

Answer:6

Step-by-step explanation:24 divided by 4 = 6 i am so sorry if its wrong

Answer:6

Step-by-step explanation: 24 divided by 4 = 6

Based on the given data, we cannot determine which service provider had the most consistent times as they all have identical statistical values.

To determine which service provider had the most consistent times, we can examine the following statistical values for each provider:

Minimums: The lowest time recorded for each provider. A lower minimum indicates more consistent times.

IQRs (Interquartile Ranges): The range between the 25th and 75th percentiles. A smaller IQR suggests less variability and more consistent times.

Maximums: The highest time recorded for each provider. A lower maximum indicates more consistent times.

Ranges: The difference between the maximum and minimum times. A smaller range suggests more consistent times.

Let's calculate these statistical values for the given data:

Provider: Com-Com

Minimum: 2 seconds

IQR: 24 - 10 = 14 seconds

Maximum: 46 seconds

Range: 46 - 2 = 44 seconds

Provider: Super Wireless

Minimum: 6 seconds

IQR: 22 - 14 = 8 seconds

Maximum: 42 seconds

Range: 42 - 6 = 36 seconds

Provider: 2

Minimum: 8 seconds

IQR: 26 - 18 = 8 seconds

Maximum: 44 seconds

Range: 44 - 8 = 36 seconds

Provider: 4

Minimum: 10 seconds

IQR: 28 - 20 = 8 seconds

Maximum: 46 seconds

Range: 46 - 10 = 36 seconds

Provider: 6

Minimum: 12 seconds

IQR: 30 - 22 = 8 seconds

Maximum: 44 seconds

Range: 44 - 12 = 32 seconds

Provider: 8

Minimum: 14 seconds

IQR: 32 - 24 = 8 seconds

Maximum: 46 seconds

Range: 46 - 14 = 32 seconds

Provider: 10

Minimum: 16 seconds

IQR: 34 - 26 = 8 seconds

Maximum: 46 seconds

Range: 46 - 16 = 30 seconds

Provider: 12

Minimum: 18 seconds

IQR: 36 - 28 = 8 seconds

Maximum: 46 seconds

Range: 46 - 18 = 28 seconds

Provider: 14

Minimum: 20 seconds

IQR: 38 - 30 = 8 seconds

Maximum: 46 seconds

Range: 46 - 20 = 26 seconds

Provider: 16

Minimum: 22 seconds

IQR: 40 - 32 = 8 seconds

Maximum: 46 seconds

Range: 46 - 22 = 24 seconds

Provider: 18

Minimum: 24 seconds

IQR: 42 - 34 = 8 seconds

Maximum: 46 seconds

Range: 46 - 24 = 22 seconds

Provider: 20

Minimum: 26 seconds

IQR: 44 - 36 = 8 seconds

Maximum: 46 seconds

Range: 46 - 26 = 20 seconds

As you can see, all providers have the same values for minimums, IQRs, maximums, and ranges. Therefore, based on the given data, we cannot determine which service provider had the most consistent times as they all have identical statistical values.

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Answer:

-5

Step-by-step explanation:

Make:

(-5)³ = (-5)×(-5)×(-5) = 25×(-5) = -125

Answer:

Only one triangle is possible.

Step-by-step explanation:

Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.

Here,

,

Therefore, a triangle is possible with the given measurements,

Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,

By SSS congruency criteria both the triangles will be congruent.

Thus, all triangles with same measurement will be congruent to each other.

Hence, only one triangle is possible.

The vendor charged $2.99 per tomato and $1.99 per ear of corn.

Let's define the cost of a tomato as 't' and the cost of an ear of corn as 'c'. From the information given in the problem, we can set up two equations:

5t + 8c = 35.53 (for Jesse's purchases)

3t + 7c = 27.06 (for Blake's purchases)

We can solve for 't' and 'c' using any method of solving systems of equations, such as substitution or elimination. Here, we will use elimination. We will multiply the first equation by 3 and the second equation by 5, so that the coefficients of 't' in both equations will be equal and opposite:

15t + 24c = 106.59 (multiplying the first equation by 3)

15t + 35c = 135.30 (multiplying the second equation by 5)

Now we can subtract the first equation from the second to eliminate 't':

11c = 28.71

So we know that a single ear of corn costs $2.61 (rounded to two decimal places). We can substitute this value into either equation to solve for 't'. Using the first equation:

5t + 8(2.61) = 35.53

5t + 20.88 = 35.53

5t = 14.65

t = 2.93

So a single tomato costs $2.93 (rounded to two decimal places). Therefore, the vendor charged $2.99 per tomato and $1.99 per ear of corn (rounded to two decimal places).

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Answer: 2.5%

Step-by-step explanation:

60 divided by 24 equals 2.5

Answer:

24

Since they washed a total of 60 cars, then according to the question they washed 40%(40 per cent) of 60 cars on Sunday.

Per

c

e

n

t

is simply per

h

u

n

d

r

e

d

or out of

h

u

n

d

r

e

d

.

We have to find out 40% of 60, which is

40

100

×

60

This is equal to

2400

100

=

24

00

1

00

=

24

Step-by-step explanation:

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Simplifying,

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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The formula for calculating the magnitude of a vector a is expressed as

a) For vector u, from the graph,

x1 = - 1, y1 = 2

x2 = 4, y2 = 6

b) For vector v,

x1 = 0, y1 = 0

x2 = 5, y2 = 4

Thus, u = v because they have the same magnitude and direction

Trains leave the endpoint of the route every 8 minutes.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given information are,

Time taken by dog to meet the train = 4 minutes,

Time take by train to catch the dog = 12 minutes

Let x is the time when train leaves the route,

Since, the train catches up the dog in 12 minutes, and the dog meets the train in 4 min, so the equation,

12 - x = 4

x = 8

Trains leave the endpoint of the route every 8 minutes.

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We can expect the mean length of ears in the next generation to be 31.6 cm.

It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.

Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:

x' = µ + h2 * (x - µ)

Substituting the given values, we get:

x' = 28 + 0.70 * (34 - 28) = 31.6 cm

Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.

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a. The probability of getting exactly 426 girls in 846 births is approximately 0.078.

b. Getting 426 or more girls has a probability of only approximately 0.195.

c. The probability from part (b) is more relevant for trying to determine whether the gender-selection technique is effective.

d. More data or a different approach may be needed to determine the effectiveness of the gender-selection technique.

a. To find the probability of getting exactly 426 girls in 846 births, we can use the binomial distribution formula, which is:

P(X = x) = nCx * p^x * (1-p)^(n-x)

where n is the total number of births, x is the number of baby girls, p is the probability of a baby being a girl (0.5 in this case), and nCx is the binomial coefficient, which can be calculated using the formula nCx = n! / (x!(n-x)!).

Plugging in the given values, we get:

P(X = 426) = 846C426 * (0.5)^426 * (0.5)^(846-426) ≈ 0.078

b. To find the probability of getting 426 or more girls in 846 births, we can use the same binomial distribution formula, but we need to add up the probabilities of getting 426, 427, ..., 846 girls. This can be expressed as:

P(X >= 426) = P(X = 426) + P(X = 427) + ... + P(X = 846)

To avoid calculating the probability for all possible values of X, we can use the complement of this probability, which is the probability of getting 425 or fewer girls in 846 births:

P(X <= 425) = P(X = 0) + P(X = 1) + ... + P(X = 425)

We can use a binomial calculator or a normal distribution approximation to find this probability. Using a normal distribution approximation, we can use the mean and standard deviation of the binomial distribution, which are:

man = n * p = 846 * 0.5 = 423

standard deviation = sqrt(n * p * (1-p)) = sqrt(846 * 0.5 * 0.5) ≈ 18.34

Then, we can standardize the value of 425 using the z-score formula:

z = (425 - mean) / standard deviation ≈ 0.86

Using a standard normal distribution table, we can find the probability of getting a z-score less than or equal to 0.86, which is approximately 0.805. Therefore,

P(X <= 425) ≈ 0.805

Finally, we can find the probability of getting 426 or more girls as:

P(X >= 426) = 1 - P(X <= 425) ≈ 0.195

If we assume that boys and girls are equally likely, then getting exactly 426 girls in 846 births may not be unusually high since it has a probability of approximately 0.078. which could be considered unusual if he gender-selection technique is not effective.

c.as it considers the probability of getting 426 or more girls in 846 births, which is an indication of whether the technique is actually effective in increasing the likelihood of having a girl.

d. Based on the results, it does not appear that the gender-selection technique is very effective, as the probability of getting 426 or more girls in 846 births is only approximately 0.195, which is not significantly higher than the probability of getting exactly 426 girls by chance (approximately 0.078).

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Binomial expansion

The coefficient of each term is:

That is, the number of combinations of k objects from a set with n objects

In the binomial:

the value of n is n = 12. In the fourth term, k = 3 (remember that k starts at zero). Therefore, the coefficient of the 4th term is:

Answer:8

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + 3 = 10

x = 7

the x is 7

Answer:

C) -180

Step-by-step explanation:

65 + 54 + 43 + 32 + 21 + 10 - 1 - 12 - 23 - 34 - 45 - 56 - 67 - 78 - 89 = -180. Hope this helps!

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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The equation of the linear relationship that represents the table given is: y = 6x + 4.

The linear relationship between x and y can be represented as an equation which can be expressed in slope-intercept form as:

y = mx + b [m is the slope and b is the y-intercept]

The y-intercept of the equation is the value of y, when x = 0, which is b = 4.

Using any two points, (0, 4) and (2, 16), we have:

Slope (m) = change in y / change in x = 16 - 4 / 2 - 0

Slope (m) = 12/2 = 6

Substitute m = 6 and b = 4 into y = mx + b:

y = 6x + 4.

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