Mrs. Lopez is a teacher for 15 years. She has an annual income of $78,175. The income
tax that she has to pay is 6%. What is the total amount of income tax in dollars and
cents that Mrs. Lopez has to pay?
$11,726
. $46,905
$1,172.60
O $4,690.50

That’s a answer choice can you choose for me

If a merchant bought an item for $50.00 and sold it for 30% more (markup), the item's selling price was $65.00.

The markup is the percentage or amount by which an item is sold.

The markup is based on the cost price.  After adding the markup amount, the selling price is determined to generate some profits for the seller.

The purchase price of an item = $50.00

The markup = 30%

Markup factor = 1.3 (1 + 0.3)

The selling price of the item = $65.00 ($50.00 x 1.3)

Thus, for adding 30% more (markup) on the cost of the item, the selling price is determined as $65.00.

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Answer:

c d e

Step-by-step explanation:

Answer:

I would say C and D is a good and healthy food.

Step-by-step explanation:

Pizza and chips are junk-foods(not healthy)

Whole milk can get you an heart disease, so not healthy.

Baby carrots is fat-free and has a lot of Vitamin A, which is good and healthy.

Small oranges have lots of Vitamin C, which is good and healthy for you.

The option left is baby carrots and small orange, so those two are the best choices.

The linear equatiοn that cοuld represent a negative linear assοciatiοn iS Optiοn B: y = -2x + 1.

A linear equatiοn is οne that has a degree οf 1 as its maximum value. Nο variable in a linear equatiοn, thus, has an expοnent greater than 1. A linear equatiοn's graph will always be a straight line.

A negative linear assοciatiοn means that as the value οf οne variable increases, the value οf the οther variable decreases. In terms οf an equatiοn, it means that the cοefficient οf the independent variable (x) is negative.

Lοοking at the given equatiοns, we can see that equatiοn B: y = -2x + 1 has a negative cοefficient fοr x (-2), which indicates a negative linear assοciatiοn.

The οther linear equatiοns have pοsitive cοefficients fοr x, which indicate a pοsitive linear assοciatiοn.

Therefοre, the require equatiοn is y = -2x + 1.

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Answer: 4y+4z

Step-by-step explanation:

Answer:

V = πr²h

Step-by-step explanation:

r = radius of circle

h = height of cylinder

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . ... Therefore, the volume of the cylinder is about 3016 cubic centimeters.

Yes. There is not enough evidence to reject the claim that the percentage of men who use exercise to relieve stress is 15%.

To test the claim, we need to use a hypothesis test with the null hypothesis being that the percentage of men who use exercise to relieve stress is 15% and the alternative hypothesis being that it is not 15%. Using the given information, we can calculate the sample proportion to be 0.12. Then, using a normal approximation to the binomial distribution with a standard error of sqrt(0.15*0.85/100) = 0.0387, we can calculate the test statistic to be (0.12 - 0.15)/0.0387 = -0.773.

Using a significance level of 0.10, the critical value for a two-tailed test is ±1.645. Since the test statistic is not less than -1.645 or greater than 1.645, we fail to reject the null hypothesis and conclude that there is not enough evidence to reject the claim that the percentage of men who use exercise to relieve stress is 15%.

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Answer:

\(3\frac{1}{4}\)

Step-by-step explanation:

Given the two  -3 1/4 and -6 1/2 numbers  on the line, the distance between he numbers can be gotten by simply taking the differences between both values as shown;

\(= -3\frac{1}{4} -(-6\frac{1}{2} )\\ \\= -\frac{13}{4} + \frac{13}{2}\\ \\= \frac{-13+26}{4}\\ \\= \frac{13}{4} \\\\= 3\frac{1}{4}\)

Hence the distance between two numbers on the number line is \(3\frac{1}{4}\)

Answer:

g = b/2h

Step-by-step explanation:

The given equation is :

4gh = 2b

We need to find the value of g.

Dividing both sides of the above equation by 4h. So,

\(\dfrac{4gh}{4h}=\dfrac{2b}{4h}\\\\g=\dfrac{b}{2h}\)

So, the value of g is b/2h.

Decile analysis is a means of assessing the accuracy of logistic regression models. To do this, the predicted probabilities are split into ten groups, known as deciles. Then, the expected outcomes within each group are compared against what was actually observed.

The purpose of this is to check if the predictions are well-calibrated and that they are successful at predicting probabilities for the given outcome. The decile analysis can be summarized by looking at both the mean predicted probability and actual outcome across all deciles. If those numbers are close in value to one another, it's a sign that the model is well-calibrated.

Also, it should be noted that when it comes to prediction accuracy, the actual outcomes should increase steadily with increasing predicted probabilities - signifying that it's accurate in ranking observations according to risk levels.

Overall, if the decile analysis conclusions match up with those from a logistic regression evaluation, then this suggests that your model his performing as expected and predicting outcomes accurately. Otherwise, further adjustment or revision may be necessary.

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We need 32 rows in the truth table that would use to evaluate a logical statement in five variables.

It is TRUE.

Now, According to the question:

A truth table provides a method for mapping out the possible truth values in an expression and to determine their outcomes. The table includes a column for each variable in the expression and a row for each possible combination of truth values.

A truth table has one column for each input variable (for example, P and Q), and one final column showing all of the possible results of the logical operation that the table represents (for example, P XOR Q).

The formula to calculate the number of rows is equal to 2ⁿ, where n is the number of basic statement letters involved.

Number of rows = 2ⁿ

If the number of variables in a truth table is 5, then the number of rows = 2⁵

2⁵ = 2×2× 2× 2× 2

= 32

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The image of the given points using the translation (x, y)— (x+1,y-3) are G'(6,6) and M'(-2,-11).

In the given question we have to find the image of the given points using the translation (x, y)— (x+1,y-3).

The given points are G(5,9) and M(-3,-8).

Now finding the translation (x, y)— (x+1,y-3) of points.

G'=(5+1,9-3) = (6,6)

M'=(-3+1,-8-3)=(-2,-11)

Now the graph of the points G(5,9) and M(-3,-8) and the translation points G'(6,6) and M'(-2,-11) is given below:

Hence, the image of the given points using the translation (x, y)— (x+1,y-3) are G'(6,6) and M'(-2,-11).

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Answer:

6.25

Step-by-step explanation:

c

Answer:

$6

Step-by-step explanation:

48÷8=6

keep the questions coming

You can fit approximately 15 tables into the room if each table is 6 ft x 4 ft.

The total area occupied by all of the tables must be calculated, then divided by the size of the room.

Area of each table = Length x Width = 6 ft x 4 ft = 24 square feet

Area of the room = Length x Width = 15 ft x 25 ft = 375 square feet

Number of tables = Area of the room / Area of each table

Number of tables = 375 square feet / 24 square feet

Number of tables ≈ 15.625

Rounding down to the nearest whole number, we get:

Number of tables = 15

Therefore, you can fit approximately 15 tables into the room if each table is 6 ft x 4 ft.

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Given that R(ABCDE) is in Boyce-Codd normal form.

And AB is the only key for R.

Definition

A relational nontrivial Schema R is in BCNF if FD (X-A) holds in R, Super key of R. whenever then X is

a

Given that AB is the only key for R.

ABC E (Yes).

check if ABC is a Super key. AB is a key, ABC is A B C E is in BONE a super key.

2) ACE B

(NO). no Check if ACE As there is ACE is not a Super key? AB in Super key. ACE.

ACE B

is

Boyce-Codd Normal Form not in BENE (NO)

3) ACDE → B           (NO)

check if is a super key. ACDE

As ACDE there is not any AB Tn ACDE. a super key.

ACDEB is not in BCNF.

4) BS → C → (NO)

As there is no AB in BC ~. B(→ not in BCNF

BC is not a super key.

5) ABDE (Yes).

Since AB is a key.

ABO TS a super key.

.. ABDE → E is in BCNF

Let R(ABCDE) be a relation in Boyce-Codd Normal Form (BCNF). If AB is the only key for R, identify each of these FDs from the following list. Answer Yes or No and explain your answer to receive points.

1. ABC E

2. ACE B

3. ACDE B

4. BC C

5. ABD E

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This problem is about a linear equation, where its variable is a.

First, we need to subtract each side of the equation by 7-

Now, we need to multiply the equation by -1, to have the variable positive

Once we have the value of the variable, we can check if the answer is right. To do that, we just need to substitute this value in the given equation.

As you can observe, the answer satisfies the equation.

Given:

The function is

\(f(x)=7x+11\)

To find:

The domain, range, and intercepts of the function.

Solution:

We have,

\(f(x)=7x+11\)

It is a linear function, and domain and range of these types of functions  are all real numbers.

\(Domain:(-\infty,\infty)\)

\(Range:(-\infty,\infty)\)

Put x=0 in f(x), to find the y-intercept.

\(f(0)=7(0)+11\)

\(f(0)=0+11\)

\(f(0)=11\)

So, the y-intercept is 11.

Put f(x)=0 in f(x), to find the x-intercept.

\(0=7x+11\)

\(0-11=7x\)

\(-11=7x\)

Divide both sides by 7.

\(\dfrac{-11}{7}=x\)

So, the x-intercept is \(\dfrac{-11}{7}\).

Therefore, \(Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),\) \(y-intercept :11\).

9514 1404 393

Answer:

  $86

Step-by-step explanation:

Since the interest varies directly, doubling the rate will double the interest.

The interest is $86 when the rate is 8%.

We  can write:

Domain of f^-1: (-∞, 0) ∪ (0, ∞)

Range of f^-1: (-∞, ∞)

To find the inverse of f, we first replace f(x) with y:

y = 9x + 78/x - 3

Next, we solve for x in terms of y:

y = 9x + 78/x - 3

y(x-3) = 9x^2 - 3x + 78

9x^2 - 3x + (78-y)(x-3) = 0

9x^2 - (3y-6)x + (78-3y) = 0

Using the quadratic formula, we have:

x = [(3y-6) ± √((3y-6)^2 - 4(9)(78-3y))] / (2(9))

x = (y-6 + √(y^2 - 36y + 324 + 4(9)(78-3y))) / 18    or    x = (y-6 - √(y^2 - 36y + 324 + 4(9)(78-3y))) / 18

Therefore, the inverse function is:

f^-1(x) = (x-6 + √(x^2 - 36x + 324 + 4(9)(78-3x))) / 18    or    f^-1(x) = (x-6 - √(x^2 - 36x + 324 + 4(9)(78-3x))) / 18

The domain of f^-1 is the range of f, which is all real numbers except for values that make the denominator of f(x) equal to zero:

78/x ≠ 0

x ≠ 0

So the domain of f^-1 is (-∞, 0) ∪ (0, ∞).

The range of f^-1 is the domain of f, which is also all real numbers except for values that make the denominator of f(x) equal to zero. However, we must also check that the expression under the square root in f^-1(x) is non-negative:

x^2 - 36x + 324 + 4(9)(78-3x) ≥ 0

x^2 - 36x + 972 ≥ 0

(x-18)^2 ≥ 0

This inequality is always true, so there are no additional restrictions on the domain of f^-1. Therefore, the range of f^-1 is (-∞, ∞).

In interval notation, we can write:

Domain of f^-1: (-∞, 0) ∪ (0, ∞)

Range of f^-1: (-∞, ∞)

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Answer:

<DBE = 120

Step-by-step explanation:

A straight angle (ABC) has 180 degrees.

20 + 40 + x = 180                   Combine the left

60 + x = 180                           Subtract 60 from both sides.

60-60 + x = 180 - 60

x = 120

I

Based on the information provided, it appears that a study will be conducted to compare the mean weights of two populations of raccoons.

To do so, random samples will be selected from each population, and the mean weight of each sample will be calculated. By comparing the mean sample weights of the two populations, researchers can determine whether there is a significant difference in the mean weights between the two groups.

It is important to note that the use of random samples helps to ensure that the results are representative of the entire population and reduces the risk of bias in the study.

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The total length of oak wood the customer purchase is 198 feet

The required stem and leaf plot is missing

So, I will make use of the attached plot to answer the question

From the question, we understand that the customer purchase are:

From the attached stem and leaf plot, we have the following readings:

When these lengths are added, we have

Total = 21 + 23 + 61 + 93

Evaluate the sum

Total = 198

Hence, the length of purchase is 198 feet

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Answer:

42/60

Step-by-step explanation:

To answer these questions, we need to determine the fuel consumption rate and use it to calculate the fuel left and total distance.

a) Find the fuel consumption rate:
The airplane used 40,000 - 13,000 = 27,000 gallons of fuel in 8 hours.
Fuel consumption rate = 27,000 gallons / 8 hours = 3,375 gallons/hour.

b) Calculate the fuel left after 2.5 more hours:
Fuel used in 2.5 hours = 3,375 gallons/hour × 2.5 hours = 8,437.5 gallons.
Fuel left when the plane lands = 13,000 gallons - 8,437.5 gallons = 4,562.5 gallons.

c) Find the total distance of the flight:
Total flight time = 8 hours + 2.5 hours = 10.5 hours.
Total distance = average speed × total flight time = 550 miles/hour × 10.5 hours = 5,775 miles.

So, (a) there will be 4,562.5 gallons of fuel left in the tank when the plane lands, and (b) the total distance of the flight is 5,775 miles.

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look at he picture it is the first one just read at the bottom and that is the answer

Step-by-step explanation:

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Answer:

:) good day mate

Step-by-step explanation:

:) indeed

Answer:

1

Step-by-step explanation:

Find the rise over run

Rise = 3

Run = 3

3/3 = 1

Slope = 1

Answer:

1

Step-by-step explanation:

First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1

Hope this helps

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

The method that intervention development will be influenced by the ABC data that are gathered on the function of the target behavior is through the determination of how the ABC contingency can be changed to encourage more positive behavior.

By identifying the functional reinforcers that sustain problem behavior, practitioners can create therapies that are more effective (i.e., from a smaller pool of potential interventions to choose from) and efficient.

Linking therapies to the outcomes of functional assessments has become accepted clinical practice and is now covered by both federal and state laws. This represents a significant and advantageous change in the method of behavioral intervention.

Therefore,

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

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