solution to the equation 6(x + 4) = 20.
what does x=

Answer:

2/3

Step-by-step explanation:

30 * 2 = 60 (1 hour)

1 * 2 = 2/3

---

so yea

Answer:

3x+27

Step-by-step explanation:

3(x+4+5)=

3x+12+15=

3x+27

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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The answer is B. 18 1/2 feet.

The submarine descended 1012 feet. An hour later, it had descended a total of 29 feet. This means that the submarine traveled 1012 - 29 = 983 feet during this hour. 983 feet is equal to 18 1/2 feet.

Here is the solution in equation form:

Total distance traveled = Initial distance - Final distance

= 1012 feet - 29 feet

= 983 feet

= 18 1/2 feet

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Answer: 5/2

Step-by-step explanation:

5/2 is greater because divided it’s 2.4 and 9/4 is 2.25. 2.5 > 2.25.

For the Pearson r correlation coefficient, a value of -0.25 shows a weak negative relationship between age and number of downloaded songs. Since the value is negative, it implies that as age increases, the number of downloaded songs decreases.

However, the p-value for the Pearson correlation coefficient is p= 0.087 which is greater than 0.05, thus, we fail to reject the null hypothesis. We cannot assume that there is a statistically significant relationship between the two variables.19. The critical value of a correlation coefficient determines whether the observed value is statistically significant.

For the given problem, we are looking for a .05 level of significance which means that the critical value is ± 0.256. In a two-tailed test, the critical values for the given level of significance is ±1.645. To transform the correlation coefficient to a z-score, we use the Fisher’s r-to-z transformation, which converts the correlation coefficient to a z-score. The formula is as follows: zr = 0.5[ln(1+r) – ln(1-r)]

where r is the correlation coefficient. zr = 0.5[ln(1-0.20) – ln(1+0.20)]

zr = -0.2027 Now that we have obtained the z-score, we can use it to get the critical value for a one-tailed test.

z = -0.256 (critical value for a two-tailed test)For a one-tailed test,

we have: z = -1.64

for α = 0.05

z = -1.96

for α = 0.025

z = -2.326

for α = 0.01 Since our alternative hypothesis is one-tailed,

we use α = 0.05, and the critical value is -1.645.

To convert this back to r, we use the formula: r = (e2z – 1) / (e2z + 1)

r = (e2(-1.645) – 1) / (e2(-1.645) + 1)

r = -0.20

Therefore, the critical value is -0.20 or approximately -0.2027.20. Given that Y=2.64+0.65X ,

X = 7 To find the predicted score on Y, substitute the value of X in the equation and solve for Y.

Y = 2.64 + 0.65 (7)

Y = 2.64 + 4.55

Y = 7.19 Therefore, the predicted score for Y is 7.19.

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P(A∩B′) = 0.3 is the required solution in probability.

Given events A and B

satisfy P(A) = 0.4 and P(B) = 0.6.

Also, P(A∩B) = 0.1.

We have to determine the value of P(A∩B′).

We know that, P(A∩B) = P(A) + P(B) - P(A∪B)

Where,P(A∪B) = P(A) + P(B) - P(A∩B)

Putting the given values in the above formula, we get:P(A∪B) = 0.4 + 0.6 - 0.1= 0.9Now,P(A∩B′) = P(A) - P(A∩B)P(A∩B′) = 0.4 - 0.1P(A∩B′) = 0.3

Therefore, P(A∩B′) = 0.3 is the required solution.

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Answer:

V = 796 7/8 ft^3

Step-by-step explanation:

The storage unit has a rectangular shape.

Thus, the volume is V = (area of floor)(height)

                                  V = (106 1/4 ft^2)(7 1/2 ft)

                                   V = 796 7/8 ft^3

Converting 106 1/4 ft to 106.25 makes it easier to use a calculator here.  Same with 7 1/2 ft:  7.5 ft

The depth of the cooker is 50 cm.

The standard equation of a parabola is given as:

y = ax^2

focal point of the parabola = 50 cm

The equation of the parabola can be written in the form:

y = a x^2 + 50

The parabola intersects the x-axis at x = -54 and x = 54.

54 = s√(4a)

a = (54/2)^2 = 1458

We then have that y = 1458 x^2 + 50

The y-coordinate of the point where the parabola intersects the y-axis is at  x = 0:

y = 1458(0)^2 + 50 = 50cm

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Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Answer:

they are not congruent

Step-by-step explanation:

Answer:

m<1=65°

Step-by-step explanation:

180-115=65°

It would also be 115 degrees because they are the same angle. :)

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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The probability that the maid of honor is in the leftmost position is 0.00034.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Let us check a simple application of probability to understand it better. Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.

The probability is classified into theoretical probability and experimental probability.

We have to find the probability that the maid of honor is in the leftmost position.

There is no case, where it generally manages its next groom is = 7 and it will be arranged in the 2, that can be arranged in 2! ways. So, the total number of ways are: 7*2 = 14

∴ The required probability = 14/8! = 1/2880 = 0.00034

Thus, the probability that the maid of honor is in the leftmost position is 0.00034.

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The probability that the maid of honor is in the leftmost position is 0.00034.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Let us check a simple application of probability to understand it better. Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.

The probability is classified into theoretical probability and experimental probability.

We have to find the probability that the maid of honor is in the leftmost position.

There is no case, where it generally manages its next groom is = 7 and it will be arranged in the 2, that can be arranged in 2! ways. So, the total number of ways are: 7*2 = 14

∴ The required probability = 14/8! = 1/2880 = 0.00034

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Answer:

1 to 1, 2 to 3, 3 to 2, and 4 to 4

Step-by-step explanation:

i did this one too

To determine the maximum amount Jaxson can borrow for a 20-year mortgage with a monthly payment of $1,125 and an annual interest rate of 4.8% (compounded monthly)

We can use the formula for the present value of an annuity:

P = M * (1 - (1 + r)^(-n)) / r

Where:

P = Amount borrowed (to be determined)

M = Monthly payment = $1,125

r = Monthly interest rate = Annual interest rate / 12 = 4.8% / 12 = 0.004

n = Total number of payments = 20 years * 12 months/year = 240

Substituting the given values into the formula:

P = $1,125 * (1 - (1 + 0.004)^(-240)) / 0.004

Calculating the expression inside the parentheses:

(1 + 0.004)^(-240) ≈ 0.354296

Substituting this value into the formula:

P = $1,125 * (1 - 0.354296) / 0.004

P ≈ $1,125 * 0.645704 / 0.004

P ≈ $177,824.75

Therefore, to the nearest dollar, the maximum amount Jaxson can borrow is $177,825.

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The correct check digit for the UPC code 6-73419-23216- is "3".

The check digit is used to verify the accuracy of the UPC code when it's scanned. It's the last digit of a UPC code and is calculated using a formula based on the first 11 digits.

The formula involves adding up the digits in the odd-numbered positions and multiplying the sum by three, then adding up the digits in the even-numbered positions, and subtracting the second sum from the first sum.

The check digit is then calculated by taking the difference and finding the smallest number that, when added to the difference, is a multiple of 10. The result of this calculation is the check digit.

In this case, the correct check digit is "3".

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Answer:

a) 29.6%

b)29.9%

Step-by-step explanation:

Here, we want to change the values to percentage form

a) we have this as;

21/71 * 100% = 29.6%

b) we have thus as;

46/154 * 100% = 29.9%

Answer: 80,000 sales per months

Step-by-step explanation:

im sorry i cant explain but i i know thats the answer

The largest eigenvector of the covariance matrix is equal to the variance of the projected data on the first principal component, confirming their relationship in dimensionality reduction techniques such as PCA.

Let's prove the statement

The largest eigenvector of the covariance matrix of X is equal to the variance of the projected data on the first principal component.

The Proof is

Consider a dataset X with dimensions n x m.

Compute the covariance matrix C of X.

Perform PCA on X to obtain the eigenvectors and eigenvalues of C.

Order the eigenvectors by their corresponding eigenvalues in decreasing order.

Let the first eigenvector be v₁, which corresponds to the largest eigenvalue λ₁.

Project the data onto the first principal component by computing the dot product of each data point with v₁.

Let P be the projected data.

P = X * v₁

Compute the variance of the projected data, which represents the spread of the data along the first principal component.

Let Var(P) be the variance of P.

Var(P) = Var(X * v₁)

Using the properties of variance, we have:

Var(P) = (v₁ᵀ * C * v₁)

Since v₁ is an eigenvector, we have (C * v₁) = λ₁ * v₁.

Substituting this into the variance equation, we get:

Var(P) = (v₁ᵀ * λ₁ * v₁)

Var(P) = λ₁ * (v₁ᵀ * v₁)

Since v₁ is a unit vector (|v₁| = 1), we have (v₁ᵀ * v₁) = 1.

Therefore, Var(P) = λ₁.

We observe that Var(P), the variance of the projected data on the first principal component, is equal to the largest eigenvalue λ₁.

Thus, the largest eigenvector of the covariance matrix is indeed equal to the variance of the projected data on the first principal component.

Therefore, we have proved that the largest eigenvector of the covariance matrix of X is equal to the variance of the projected data on the first principal component.

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The distributed computation (e, →) is said to be consistent if all computations lead to the same result, regardless of the order in which the steps are performed.

Let g and h be consistent cuts of a distributed computation (e, →).

We must demonstrate that g ∪ h and g ∩ h are also consistent cuts of (e, →).

Let R be the set of events that are in both g and h. If we remove R from either g or h, we get a consistent cut since the removed events cannot cause a change in the outcome.

By removing R from both g and h, we obtain two new consistent cuts: g − R and h − R.

Thus, we can write:g = (g − R) ∪ R and h = (h − R) ∪ R. Since (g − R) and (h − R) are consistent cuts, it follows that their union, g ∪ h, is also a consistent cut. I

f we let S be the set of events that are in both g and h, then we can write:g = (g ∩ h) ∪ (g − S) and h = (g ∩ h) ∪ (h − S).

Again, (g − S) and (h − S) are consistent cuts, so their intersection, g ∩ h, is also a consistent cut.

Therefore, if g and h are consistent cuts of a distributed computation (e, →), then so are g ∪ h and g ∩ h.

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Answer:

a

Step-by-step explanation:

Answer:

D (42,-56)

Step-by-step explanation:

Scale factor means you multiply, so you multiply (6,-8) by 7.

6 x 7 is 42 and 7 x -8 is -56. So your answer is D (42,-56).  

Answer:ok I see

Step-by-step explanation:

Now

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Answer:

n+7

Step-by-step explanation:

Sum means add, so it's just n added to 7:

n+7 :)

Answer:

n+7 is the answer or u can put it in parenthesis (n+7)

Step-by-step explanation:

Answer:

5:15 simplifies to 1:3.

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:

After the first year, the value of the house would increase by 6% and become:

$198,000 + (6%/100) x $198,000 = $210,000

Similarly, after the second year, the value of the house would increase by 6% and become:

$210,000 + (6%/100) x $210,000 = $222,600

We can repeat this process for all five years to determine the final value of the house after 5 years:

$198,000 x (1 + 6%/100)^5 = $267,015.23

To find the value of the house as a percentage of the value exactly one year earlier, we can compare the value after 5 years with the value after 4 years:

$222,600/$210,000 = 1.0571

This means that the value of the house after 5 years is approximately 105.71% of the value exactly one year earlier, which is an increase of 5.71%.