The angles of a triangle measure 40 degrees , 60 degrees , and 80 degrees

Answer:

x = (y-3)/4

Step-by-step explanation:

y-3 = 4x

x = (y-3)/4

Answer:

the answer I got was 12.5 cm

Answer:

(4,3)

Step-by-step explanation:

f(x) = a(x-h)^2 +k is the vertex form of a parabola

where (h,k) is the vertex

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

    yields a  vertex of (4,3)

Answer: The answer is A 4,3

Step-by-step explanation:

A. SEM (Standard Error of the Mean) is used to gauge the accuracy of sample means as representing the true population mean.

The Standard Error of the Mean (SEM) is a statistical method used to estimate the variability or uncertainty of the sample mean in relation to the population mean. It measures how much the sample means varies from the true population mean.

The SEM provides a measure of the precision of the sample mean. A smaller SEM indicates a more accurate estimate of the population mean, while a larger SEM suggests greater variability and less precision.

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Answer:

Inconsistent as there are two same equations with different values.

So this doesn't make sense.

No, the LDA classifier and the Bayes classifier would not necessarily give similar boundaries when trained on a large amount of training data from an arbitrary distribution.

The LDA (Linear Discriminant Analysis) classifier assumes that the input features are normally distributed and that the class covariances are equal. It finds linear boundaries that maximize the separation between classes based on these assumptions. On the other hand, the Bayes classifier makes decisions based on the class conditional probabilities and prior probabilities of the classes. It can handle arbitrary distributions and does not make assumptions about the class covariances. Therefore, even with a large amount of training data, if the distribution of the data does not conform to the assumptions of LDA (e.g., non-normal distributions or unequal class covariances), the LDA classifier may not give similar boundaries to the Bayes classifier.

The LDA and Bayes classifiers may not give similar boundaries when trained on data from an arbitrary distribution, as the LDA classifier relies on specific assumptions about the data distribution that may not hold true in practice.

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To find a recurrence relation for the number of n-letter sequences using the letters a, b, c such that any a not in the last position of the sequence is always followed by a b, we can use the following approach.

Let's consider the last two letters of the sequence. There are three possible cases:

1. The last letter is not "a": In this case, we can append any of the three letters (a, b, or c) to the end of an (n-1)-letter sequence that satisfies the given condition. This gives us a total of 3 times the number of (n-1)-letter sequences that satisfy the condition.

2. The last letter is "a" and the second to last letter is "b": In this case, we can append any of the two letters (a or c) to the end of an (n-2)-letter sequence that satisfies the given condition. This gives us a total of 2 times the number of (n-2)-letter sequences that satisfy the condition.

3. The last letter is "a" and the second to last letter is not "b": In this case, we cannot append any letter to the end of the sequence that satisfies the condition. Therefore, there are no such sequences of length n in this case.

Putting all these cases together, we get the following recurrence relation:

f(n) = 3f(n-1) + 2f(n-2), where f(1) = 3 and f(2) = 9.

Here, f(n) denotes the number of n-letter sequences using the letters a, b, c such that any a not in the last position of the sequence is always followed by a b.

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Answer:

2+5(x+3)- (2x-7)(x+2)

7(x+3)- (3x+4x-7x-14)

(7x+21)-(7x-7x-14)

(7x+21)-(14)

7x+21-14

=7x+7

Answer:

4x+7-2x²

Step-by-step explanation:

2+5(x+3)- (2x-7)(x+2)

First we have to divide them into 2 parts

part 1= 2+5(x+3)

part 2= (2x-7)(x+2)

Then, we have to solve them in parts

First part1= 2+5(x+3)

=2(x+3)+5(x+3)

=2x+6+5x+15

=2x+5x+15+6

=7x+21

OR SIMPLE WAY OF DOING PART1

2+5(x+3)

=7(x+3)

=7x+21

Then part2= (2x-7)(x+2)

=2x(x+2)-7(x+2)

=2x²+4x-7x-14

=2x²-3x-14

THEN JUST SIMPLIFY

7x+21-2x²-3x-14

=7x-3x+21-14-2x²

=4x+7-2x²

Answer:

15-x≤9 (without the line under it)

Step-by-step explanation:

Answer:

A. 3.7, because |3.7| = 3.7

I hope this helps!

No, it is not reasonable to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry.

What is standard deviations?
Standard deviation is a measure of how spread out a set of data is. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. Standard deviation is a measure of how much the individual observations in a data set vary from the mean. A low standard deviation indicates that most of the values are very close to the mean, while a high standard deviation indicates that the values are more spread out.

The average wage of the ethnic group is only $6.90 per hour, which is significantly lower than the average wage of $7.00 per hour for the entire industry. Even though the standard deviation of the industry is $.50, this does not account for the difference in wages between the ethnic group and the rest of the industry. Therefore, it is not reasonable to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry.

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Answer: 4/25

Step-by-step explanation:

Answer:

x = \(\frac{16}{99}\)

Step-by-step explanation:

We first let 0.16 be x . Since x is recurring in 2 decimal places, we multiply it by 100. Next, we subtract them. Lastly, we divide both sides by 99 to get x as a fraction

Explanation:

We first let 0.16 be x.

Since x is recurring in 2 decimal places, we multiply it by 100.

100 x = 16.16

Next, we subtract them.

100 x−x=16.16 −0.16

99 x = 16

Lastly, we divide both sides by 99 to get x as a fraction.

x = \(\frac{16}{99}\)

Answer: 7. (x-10)(x-10)=0

8.x=10

9.x(x+7)=0

10.x=0 and x=-7

Step-by-step explanation:

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b)  Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.

b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.

c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.

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a) The first five terms in the geometric sequence defined by the rule 6^(n-1) are:

6^(1-1) = 6^0 = 1

6^(2-1) = 6^1 = 6

6^(3-1) = 6^2 = 36

6^(4-1) = 6^3 = 216

6^(5-1) = 6^4 = 1296

b)  The sum of the infinite series defined by this rule is -1/5.

The geometric sequence is defined by the formula 6fₙ₋₁ + 47, where the first term is unknown. To find five consecutive terms, we can substitute different values for n into the formula. The sum of an infinite geometric series can be calculated using the formula S = a / (1 - r), where 'a' represents the first term and 'r' is the common ratio. Given that the first term is unknown, the sum of the infinite series cannot be determined without additional information.

The formula for the nth term in the geometric sequence is given as 6fₙ₋₁ + 47. To find the first five consecutive terms, we can substitute different values for n into the formula. Let's assume the first term, f₀, is a:

Term 1: f₁ = 6f₀ + 47 = 6a + 47

Term 2: f₂ = 6f₁ + 47 = 6(6a + 47) + 47 = 36a + 329

Term 3: f₃ = 6f₂ + 47 = 6(36a + 329) + 47 = 216a + 1991

Term 4: f₄ = 6f₃ + 47 = 6(216a + 1991) + 47 = 1296a + 11983

Term 5: f₅ = 6f₄ + 47 = 6(1296a + 11983) + 47 = 7776a + 71875

b) The sum of the infinite series defined by this rule can be calculated using the formula for the sum of a geometric series. Since the common ratio in this sequence is 6, and the first term is 1, we can use the formula S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio. Plugging in the values, we get:

S = 1 / (1 - 6) = 1 / (-5) = -1/5.

Therefore, the sum of the infinite series defined by this rule is -1/5.

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The composite function aob(x) = 4x².

Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions.

They are also called function of functions.

Given:

a(x) = x²

and b(x)= 2x

The composite of the function;

aob= a(b(x))

= a(2x)

= (2x)²

= 4x²

Hence, The composite function aob(x) = 4x².

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Answer:

Equal

Step-by-step explanation:

When the numbers are in between the 2 lines, it's measuring the distance from 0.

In this case, 4 is 4 from 0. And, -4 is 4 from 0.

The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

(A) There is a 0.62 percent probability that the present is upstairs.

(B) The probability that dad hid it is 0.526.

Let P denote the probability of a present being hidden by mom (M)

Let P denote the probability of the father concealing the present (F)

Let P denote the probability of a gift being concealed upstairs by mother (Um)

Let P denote the probability of a gift being concealed downstairs by the mother (Dm)

Let P denote the probability of a gift being concealed upstairs by father (Uf)

Let P denote the probability of a gift being concealed downstairs by the father (Df)

P(M)=0.6, P(F)=0.4, P(Um)=0.7, P(Dm)=0.3, P(Uf)=0.5, P(Df)=0.5

a) Mother concealed and hid upstairs P(M) x P(Um)  

= 0.6 x 0.7

= 0.42

Or

Father concealed and hiding upstairs = P(F) x P(Uf)

= 0.4 x 0.5

= 0.2

Final answer = 0.42 + 0.2

= 0.62

b) It is a conditional probability issue.

The probability of concealed presence downstairs is one minus the probability of hidden presence above.

= 1 – 0.62  

= 0.38

probability of father hiding gift downstairs = P(F) x P(Df)

= 0.4 x 0.5

= 0.2

Conditional Probability Equation P(F|Downstairs) = Father's Chance of Hiding Present Downstairs / Chance of Father Hiding Present Downstairs

P(F|Downstairs) = 0.2 ÷ 0.38

P(F|Downstairs) = 0.526 (correct to 3 decimal places)

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Where tn-1(1-α/2) is the critical value of the t-distribution with (n-1) degrees of freedom at the 1 - α/2 confidence level, Sy is the sample standard deviation of Y, and sy is the sample standard error of Y.

Standard deviation is a statistical measure that calculates the amount of variation or dispersion of a set of data values from its mean or average. Standard deviation is commonly used in statistics to measure the amount of variation or dispersion of a set of data values from their mean or average.

For a large-sample interval for σy – µy, the formula is:
σy – µy = tn-1(1-α/2) * Sy / √n

For a small-sample interval for µy – σy, the formula is:
µy – σy = tn-1(1-α/2) * sy / √n


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Given:

The equation is

\(\dfrac{3x}{7}+\dfrac{2}{7}=2\)

To find:

The simpler equivalent form and solve the given equation.

Solution:

We have,

\(\dfrac{3x}{7}+\dfrac{2}{7}=2\)

It can be written as

\(\dfrac{3x+2}{7}=2\)

Multiply both sides by 7.

\(3x+2=14\)

\(3x=14-2\)

\(3x=12\)

Divide both sides by 3.

\(x=\dfrac{12}{3}\)

\(x=4\)

Therefore, the simpler equivalent form of the given equation is \(3x+2=14\) and the solution is x=4.

Answer:

A

Step-by-step explanation:

i to an odd power is 1 and i to an even power is -1 so you can see it is A

Answer:

55/100 and 48/100, in decimal form it will be 0.55 and 0.48

Step-by-step explanation:

11/20 and 12/25

The common denominator in this question will be 100

55/100 and 48/100

a = 55°, b = 97°, c = 83°

Explanation:

Larger triangle:

a° + 44° + 28° + 53° = 180° (sum of angles in a triangle)

a + 125 = 180

a = 180 -125

a = 55°

The smaller triangle by the left:

a° + b° + 28° = 180° (sum of angles in a triangle)

55 + b + 28 = 180

83 + b = 180

b = 180 -83

b = 97°

The smaller triangle by the right:

53° + 44° + c° = 180° (sum of angles in a triangle)

97 + c = 180

c = 180 -97

c = 83°

Answer:

The answer is x = 10.

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

slope of line perpendicular to the line y=-1/4x-1 is 4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us write the given equation  y=-1/4x-1

If we compare the given equation with slope intercept form

We get to know slope of line m is -1/4.

It two lines are perpendicular then the product of their slopes will be -1

-1/4×m=-1

m=4

Hence slope of line perpendicular to the line y=-1/4x-1 is 4.

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Answer:

5

Step-by-step explanation:

We cannot repeat an x value for the relation to be a function

Since x=3 ,4, 7 are already used

We must let x=5