You work part-time at a diner that pays you $6. 75/hr plus tips. Tips average $3. 50/hr. Your deductions are FICA (7. 56%), Federal tax withholding (9. 6%), and state tax withholding (6. 7%). You work 13 hours per week. What is you gross pay per month including tips? $533. 00 $351. 00 $507. 00 $520. 0

  LN/RT = NM/TS is the correct option in congruent triangle .

What in mathematics is congruent?

If two shapes are similar in size and shape, they are said to be congruent. The mirror image of one shape is the same as the other if two shapes are congruent.

                          Congruent refers to objects that are precisely the same size and shape. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

  In ΔLMN ≅ ΔRST

 In triangle are congruent .

    LN/RT = NM/TS

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According to a histogram that displays the percentage of replies over time, an April Gallup poll indicated that 55% of Americans think autonomous cars would be widely used in the next ten years.

Whether completely automated "driverless automobiles" would be widely deployed in the United States was the subject of a Gallup Poll conducted in April, which polled Americans ages 18 and older.

How soon, in your opinion, do you believe autonomous cars will be widely used in the US? According to the survey, 55% of Americans think autonomous cars will become commonplace over the next ten years.

The survey's results were displayed as a histogram, displaying the proportion of replies at various time intervals. This indicates how many respondents indicated that driverless cars will be widely utilised within a particular time period (e.g., within 5 years, within 10 years, etc.).

This survey reveals how people feel about autonomous cars in the future and how soon they believe they will be a common sight on the roads.

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The question is -

A Gallup Poll utilizing a random sample of adults ages or older was conducted in April. The survey indicated a majority of Americans () say driverless cars will be common in the next years (). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? The figure below shows a summary of the results of the survey in a histogram indicating the percentage of the total responses in different time intervals.

Answer: B $2,251.80

Step-by-step explanation:

:)

The probability that the socks will not be blue would be =11/14.

Probability can be defined as the expression that shows the possibility of the occurrence of an event.

The formula that is used to calculate probability = the chosen events/total number of outcomes.

The total number of black socks = 8

The total number of blue socks = 6

The total number of white socks = 14

The total number of socks (outcomes) = 8+6+14 = 28

The socks that are not blue = 8+14 = 2

Therefore the probability that they socks won't be blue = 22/28 = 11/14.

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The number of seconds that the ball was in the air is approximately 5.11 seconds

To find the time the ball was in the air, we need to find the time when the ball hits the balcony, which is located 218 feet above the ground.

Let's set h = 218 in the equation h = -16t^2 + 48t + 506 and solve for t

218 = -16t^2 + 48t + 506

Simplifying, we get

16t^2 - 48t - 288 = 0

Dividing both sides by 16, we get

t^2 - 3t - 18 = 0

Using the quadratic formula, we can solve for t:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = -3, and c = -18

t = (3 ± sqrt(3^2 - 4(1)(-18))) / 2(1)

t = (3 ± sqrt(105)) / 2

We can ignore the negative solution because time cannot be negative. Therefore, we have

t = (3 + sqrt(105)) / 2

t ≈ 5.11 seconds

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The given question is incomplete, the complete question is:

A person throws a ball upward from a 506 foot tall building the balls height h in feet after t seconds is given by the equation h= -16t^2+48t+506 the ball lands on a balcony that is 218 feet above the ground how many seconds was it in the air

can we see a picture or equation

The 2nd term in this given linear sequence {-5, -7, -9, -11, -13}  is -7. So the correct answer is -7.

A linear sequence repeatedly increases or decreases by the same amount. The number added (or subtracted) at each stage of the linear sequence remains the same.

A linear sequence goes from one term to the next by always adding (or subtracting) the same value. The number added (or subtracted) at each stage of the linear sequence is called the common difference.

Examples of linear sequences occur when things change by the same amount each time.

Here is the linear sequence: 8, 11, 14, 17...

To find the next term in this sequence we calculate the common difference.

In this example the common difference is +3.

8 (+3) 11 (+3) 14 (+3) 17 (+3) …

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Since the linear model y = 11x + 41 can be used to represent the data when x≥0, the two statement which best describe the value 41 include the following:

B. initial number of students in attendance when x = 0.

E. y-intercept.

In Mathematics, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

Based on the information, an equation that models the line is given by this mathematical expression;

y = mx + c

y = 11x + 41

By comparison, we have the following:

mx = 11x

Slope, m = 11.

Initial number or y-intercept, c = 41.

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The phrase that reflects the amount of recordings, in thousands, owned by the collector 4 years later if it continues to expand at this rate is:   [tex]O 12 • (1.02)^48[/tex] Thus, option C is correct.

o calculate the number of records that will increase by a factor, you first need to know the initial number of records. Let's call this number "N".

To increase the number of records by a factor of "F", you can simply multiply the initial number of records by the factor:

New number of records = N x F

For example, if you have 100 records and you want to increase the number of records by a factor of 3, the new number of records would be:

New number of records  [tex]= 100 x 3 = 300[/tex]

So, the new number of records would be 300.

The growth rate is 2% per month, which means that the number of records will increase by a factor of 1.02 each month. After 4 years (48 months), the number of records owned by the collector can be calculated using the formula:

[tex]12,000 x (1.02)^48[/tex]

Simplifying this expression, we get:

[tex]12,00x0 1.02^48[/tex]

Therefore, the expression that represents the number of records, in thousands, owned by the collector 4 years later if it continues to grow at this rate is: O 12 • (1.02)^48

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Answer:

Step-by-step explanation:

If there are ten families and exactly two of them are childless, then there are 10 - 2 = 8 families with children.

The total number of children in these families is 8 x 2 = 16.

Therefore, the average number of children in the families with children is:

16 / 8 = 2

So the average number of children in the families with children is 2.0 (to the nearest tenth).

The average number of children in the families with children is 2.2.

To calculate this, first we need to determine the total number of children in the ten families. Since each family has an average of 2 children, this means that the total number of children in the ten families is 10 x 2 = 20.

Since two of these families are childless, this means that the total number of children in the remaining 8 families is 20 – 0 = 20.

Now, we need to determine the average number of children in the 8 families with children. To do this, we divide the total number of children (20) by the number of families with children (8):

20/8 = 2.5

Finally, we express the answer to the nearest tenth, which is 2.2.

In conclusion, the average number of children in the families with children is 2.2.

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To enlarge Shape A by a scale factor of 1.5 with the center of enlargement (0, 0), we have to multiply every length by 1.5.

Enlargement of Shape A

Enlargement of a shape is when it is either stretched or shrunk in one or both directions. The original shape is called the pre-image, while the new shape is called the image. What is the centre of enlargement?

The center of an enlargement is the point about which all of the points of the pre-image are scaled to obtain the image. When the scale factor is greater than 1, the image of the pre-image is an enlargement. When the scale factor is between 0 and 1, the image of the pre-image is a reduction.In an enlargement, each point on the pre-image is mapped onto a corresponding point on the image along a straight line which goes through the centre of enlargement.

The new shape has a larger size than the original shape. To expand shape A by a scale factor of 1.5, you need to multiply each length by 1.5. You have to create new points. It's easy to use a scale ruler to make sure each length is multiplied by 1.5.

A Centre of enlargement is a point in the coordinate plane that enlarges or shrinks a figure by some scale factor. In the problem, the center of enlargement is (0, 0).

Thus, we have to extend every length of Shape A by 1.5, and our scale factor is 1.5. We get Shape B by doing so. Now, we can conclude that to enlarge Shape A by a scale factor of 1.5 with the center of enlargement (0, 0), we have to multiply every length by 1.5.

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The larger number if the difference of the numbers is 52 is 65.

A number is five times a smaller number. Let's find the larger number when their difference is 52.

Therefore,

let

x = smaller number

larger number = 5x

There difference is 52. Hence,

5x - x = 52

4x = 52

divide both sides of the equation by 4

x = 52 / 4

x = 13

Therefore,

larger number = 5(13) = 65

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let x be the charge for an oil change, and let the tax on x be 7% so that the actual charge is 1.07x. let y be the number of containers of oil that are needed, and $2 the price per container. then 2y is the price of the oil itself. the cov(x,y) is 5.6.

The covariance of 1.07x and 2y is 11.984

Covariance refers to the way two variables shift together. It is a measurement that evaluates how close two variables are to one another. It examines whether they change in the same direction (positive covariance) or in the opposite direction (negative covariance)

.Calculating Covariance:

Given that Cov(X,Y) = 5.6

we need to find Cov(1.07X,2Y)Hence,

Cov(1.07X,2Y) = 2 * 1.07 * Cov(X,Y) = 2.2996 * 5.6 = 11.984

Therefore, the covariance of 1.07x and 2y is 11.984.

Hence option (a) is the correct answer.

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By permutation and combination, Maximum 171 number of different  2 - person teams are possible.

Provide an example of permutation and combination?

An arrangement of things in a specific order is referred to as a permutation. In this arrangement, the components or components of sets are organized in a linear or sequential order.

                       As an illustration, set A=1,6 has the permutation 2, which is 1,6,1. Permutations include the arrangement of individuals, digits, numbers, alphabets, letters, and colors. Combinations include things like choosing a menu, cuisine, clothing, a subject, and a team.

Total number of ways to choose different 2 person out of 19 person.

                     = ¹⁹C₂

              = 19!/2! (19 - 2)!

              =  19!/2!   17!

             = 19 * 18 * 17!/2 * 1 * 17!

            = 19 * 7

              = 171

Hence, maximum 171 number of different  2 - person teams are possible.

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Step-by-step explanation:

Let's start by defining some variables:

y: the maximum amount Geno can spend

x: the number of months he will have the gym membership

T: the total cost of the membership at Total Fitness

G: the total cost of the membership at Gymania

Using these variables, we can set up the following system of inequalities:

T = 30x + 100 (Total Fitness charges $30 per month plus an initial fee of $100)

G = 50x + 25 (Gymania charges $50 per month plus an initial fee of $25)

Geno can spend no more than y dollars, so we can add the following constraint:

T ≤ y

G ≤ y

Now we can solve this system of inequalities to find out which company offers the better deal. We can start by substituting the expressions for T and G:

30x + 100 ≤ y

50x + 25 ≤ y

Next, we can simplify these inequalities:

30x ≤ y - 100

50x ≤ y - 25

Finally, we can solve for x:

x ≤ (y - 100) / 30

x ≤ (y - 25) / 50

The better deal is the gym membership that has the smaller total cost, so we want to find the values of x that satisfy both inequalities. Therefore, we need to take the smaller of the two right-hand sides:

x ≤ min((y - 100) / 30, (y - 25) / 50)

So, the system of inequalities we can use to determine which company offers the better deal is:

x ≤ min((y - 100) / 30, (y - 25) / 50)

Population-standard-deviations (or standard-error) away is your sample mean from the population mean is therefore (x - μ) / σ.

In order to standardize the distance, we must divide it by the standard deviation of the population (or standard error).How far the sample mean is from the population mean in terms of population-standard-deviations (or standard-error) can be determined by dividing it by the population standard deviation (or standard error). The equation for the same is as follows:
z = (x - μ) / σ
where,
z = standard score,
x = sample mean,
μ = population mean,
σ = population standard deviation.
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Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test.

In a one-tailed test, the alternative hypothesis is directional and the critical region is all on one side of the distribution. In a two-tailed test, the alternative hypothesis is non-directional and the critical region is split between the two tails of the distribution.

It is easier to reject the null hypothesis with a one-tailed test because the critical region is all on one side of the distribution, making it more likely to observe a significant difference and reject the null hypothesis. In contrast, the critical region is split between the two tails in a two-tailed test, making it less likely to observe a significant difference and reject the null hypothesis.

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By trigonometric formula, the trigonometric function sec (5π / 6) has the exact value - 2√3 / 3.

In this problem we find the case of a trigonometric function, whose exact value can be found by means of trigonometric formula and tables of values:

sec θ = 1 / cos θ

sec (5π / 6) = 1 / cos (5π / 6)

sec (5π / 6) = - 1 / cos (π / 6)

sec (5π / 6) = 1 / (- √3 / 2)

sec (5π / 6) = - 2 / √3

sec (5π / 6) = - 2√3 / 3

The exact value of the trigonometric function sec (5π / 6) is equal to - 2√3 / 3.

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The inequality trigonometry expression 2sin(2x - π/2) ≥ √3 when solved has a solution of x ≥ 5π/12

In the question, we have the following expression

2sin(2x - π/2) ≥ √3

The above expresson is an inequality and a trigonometry expression

So, we have

2sin(2x - π/2) ≥ √3

Divide by 2

sin(2x - π/2) ≥ 1/2√3

Take the arc sin of both sides

2x - π/2 ≥ π/3

Add π/2 to both sides of the expression

2x ≥ π/2 + π/3

Evaluate the like terms

2x ≥ 5π/6

Divide both sides by 2

x ≥ 5π/12

Hence, the solution to the variable x is x ≥ 5π/12

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Answer: y-98

Step-by-step explanation:

Option B, The fact that this survey question is a double-barreled question makes it problematic.

A survey question known as a double-barreled question has two questions inside one, making it challenging for respondents to give truthful and insightful responses.

The offered inquiry, in this instance, combines two distinct inquiries: if the phone was acquired within the last two years and whether it has recently had an upgrade.

Inconsistent answers might result from a person who bought their phone more than two years ago but only recently upgraded it, or vice versa. In order to prevent double-barreled questions and guarantee that responders can give precise and complete replies, each question should be isolated and posed independently.

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The question is -

What is the problem with this question item that appeared in a survey? was your phone purchased in the last two years and have you recently updated it?

a. It is a leading question

b. It involves negative wording

c. It is a double-barreled question

d. It is not on a Likert Scale

Answer:

y=2.05x

Step-by-step explanation:

Figure out what the total cost is for 1 of them then you put that in as your M value, then X stands for number of sheets so 2.05 multiplied by the number of sheets sold you get your Y which is the total cost in dollars for x sheets.

Answer: the answer would be 122

Step-by-step explanation:

To find the surface area you need to find the area of each face and add them together

2 (W L+H L+H W) = surface area  

2·(4·7+3·7+3·4)=122

Answer:

Step-by-step explanation:

Given dimensions of the rectangular prism ,

4"×3"×7"

We know, Total surface area of a cuboid= 2(lb+bh+hl)

where, l=length of the cuboid

 b= breadth " " "

 h= height " " "

Since, a rectangular prism holds the shape of a cuboid, therefore it's surface area should also be 2(lb+bh+hl)

Now, surface area of the rectangular prism = 2(4×3+3×7+7×4)

 =2(12+21+28)

 =2×61

 =122 square inches.

Answer:

The answer is 60

Step-by-step explanation:

2x5x6

rearrange by the commutative property

(2x5)x6

Calculate

10x6

calculate the product or quotient to 60

hence the answer is 60

Hoped this helped:D

Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.

         She wants to take selfies with what she has, and the question asks how many different selfies can she take.

    Let's solve the question below:

         The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )

          As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.

          We can use the combination formula to calculate the total number of ways:

            ₇C₂ = [tex](7 * 6)/2[/tex]

                   = 21

  Hence, Alison can take [tex]5 * 6 * 21[/tex] = 630 different selfies with a hat, a bracelet, and two cats.

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the interest earned on 250000 at a 7.5% interest rate for half a year is 4687.50. This means that after half a year, the total amount that you would have is the sum of the principal and the interest, which is 254687.50.

To calculate the interest on 250000 at a 7.5% interest rate for half a year, we first need to determine the annual interest rate, as most interest rates are quoted on an annual basis. To do this, we can divide the annual interest rate of 7.5% by 2 to get the half-yearly interest rate, which is 3.75%.

Next, we can use the formula for simple interest to calculate the interest earned over half a year. Simple interest is calculated by multiplying the principal amount (in this case, 250000) by the interest rate (3.75%) and the time period (0.5 years).

So, the interest earned would be:

Interest = Principal x Rate x Time

= 250000 x 0.0375 x 0.5

= 4687.50

Therefore, the interest earned on 250000 at a 7.5% interest rate for half a year is 4687.50. This means that after half a year, the total amount that you would have is the sum of the principal and the interest, which is 254687.50.

It's worth noting that this calculation assumes that the interest is simple interest, which means that the interest earned is not reinvested. If the interest is compounded (i.e., the interest earned is reinvested), then the interest earned would be higher.

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ANSWERS:
A ) x^2 + 5/6x + 25/144 = (x + 5/12)^2

B ) x^2 - 11x + 121/4 = (x - 11/2)^2

EXPLANATION:

a. To complete the square for the equation x^2 + 5/6x + ___,

first divide the coefficient of the linear term (5/6) by 2,

which gives you 5/12.

Then, square the result:

(5/12)^2 = 25/144.

So, the equation becomes:
x^2 + 5/6x + 25/144 = (x + 5/12)^2

b. To complete the square for the equation x^2 - 11x + ___,

first divide the coefficient of the linear term (-11) by 2,

which gives you -11/2.

Then, square the result:

(-11/2)^2 = 121/4.

So, the equation becomes:

x^2 - 11x + 121/4 = (x - 11/2)^2

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Class imbalance is a common problem in logistic regression analysis, where one class of data significantly outnumbers the other.

Class imbalance can be problematic because it leads to an over-representation of one class and an under-representation of the other, which can bias the model’s prediction towards the more frequently occurring class.

Class imbalance can cause the model to focus on optimizing accuracy by predicting the majority class more often than the minority class, leading to an underestimation of the minority class. It can also reduce the model’s ability to capture the nuances of the data that can be associated with the minority class. To address this, techniques such as oversampling, undersampling, and cost-sensitive learning can be employed to balance the data and improve model performance.

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Answer:

The number cube has 6 equally likely outcomes, so the probability of rolling a 1 or a 6 on any given roll is 2/6 = 1/3.

If Kenya rolls the number cube 90 times, we can use the expected value formula to find the expected number of times that a 1 or a 6 will land face up:

Expected number of 1's or 6's = (number of rolls) x (probability of rolling a 1 or a 6)

Expected number of 1's or 6's = 90 x (1/3)

Expected number of 1's or 6's = 30

Therefore, a reasonable prediction for the number of times that a 1 or a 6 will land face up is 30.

● < P=R " angles opp =sides"

●PQ =QR " Angles opposite = sides"

therefore PQR is an isosceles " 2 opp angles and sides are equal "

The length is therefore shrinking at a rate of -541/3, or around -180.33 square inches per hour.

A rectangle is a flat, four-sided shape with parallel, equal-length opposite sides on each side. There are four right angles (90-degree angles). The distance between the two longer sides, also known as the longer sides or the longer edges, is the rectangle's length. The distance between the two shorter sides, also known as the shorter sides or the shorter edges, determines the rectangle's width. The perimeter of a rectangle is equal to the total of the lengths of all of its sides, and the area of a rectangle is equal to the product of its length and width.

given

Let A represent the rectangle's area, l its length, and w its width. So, we are aware of:

A = lw

By applying the derivative to time t, we obtain:

(d/dt) = dA/dt (lw)

l(dw/dt) + w(dl/dt) = dA/dt

dw/dt = 0 since the width is kept constant, which results in:

w(dl/dt) = dA/dt

We are informed that w = 3 in and that dA/dt = –541 in2/hour. By replacing these values, we obtain:

-541 = 3(dl/dt)

By calculating dl/dt, we obtain:

dl/dt = -541/3

The length is therefore shrinking at a rate of -541/3, or around -180.33 square inches per hour.

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