Gabrielle was out at a restaurant for dinner when the bill came. His dinner came to $20. After adding in a tip, before tax, he paid $23. Find the percent tip

Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.

High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.

It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.

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When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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Answer: To find the difference between the expressions 4/x^2 + 5 and 1/x^2 - 25, we need to subtract the second expression from the first.

Given:

Expression 1: 4/x^2 + 5

Expression 2: 1/x^2 - 25

To subtract these expressions, we need a common denominator. The common denominator in this case is x^2(x^2 - 25), which is the least common multiple of the denominators.

Now, let's perform the subtraction:

(4/x^2 + 5) - (1/x^2 - 25)

To subtract the fractions, we need to have the same denominator for both terms:

[(4(x^2 - 25))/(x^2(x^2 - 25))] + [(5x^2)/(x^2(x^2 - 25))] - [(1(x^2))/(x^2(x^2 - 25))] + [(25(x^2))/(x^2(x^2 - 25))]

Combining the terms over the common denominator:

[(4x^2 - 100 + 5x^2 - x^2 + 25x^2)] / (x^2(x^2 - 25))

Simplifying the numerator:

(4x^2 + 5x^2 - x^2 + 25x^2 - 100) / (x^2(x^2 - 25))

(34x^2 - 100) / (x^2(x^2 - 25))

Therefore, the difference between the expressions 4/x^2 + 5 and 1/x^2 - 25 is (34x^2 - 100) / (x^2(x^2 - 25)).

Answer:

Step-by-step explanation:

f(x) = - x + 6

g(x) = 4x - 6

In order to find g(f(x)) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

We have the final answer as

Hope this helps you

To convert  90% confidence interval, add and subtract the margin of error from the sample mean

A 90% confidence interval is a range of values that is likely to contain the true population parameter with 90% probability. Here's how you can calculate a 90% confidence interval:

Collect a sample of data that is representative of the population

Calculate the sample mean and the sample standard deviation (s).

Determine the sample size (n).

Use a t-distribution table or calculator to find the critical t value for a 90% confidence level and (n-1) degrees of freedom.

Calculate the margin of error by multiplying the critical t value by the standard error of the mean, which is s/ \(\sqrt{n}\).

margin of error = t-value × (s / \(\sqrt{n}\))

Determine the upper and lower bounds of the confidence interval by adding and subtracting the margin of error from the sample mean.

Lower bound = Sample mean - margin of error

Upper bound = sample mean + margin of error

The resulting interval will be the 90% confidence interval for the population mean.

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The equation that models this problem is 8p = 48.80. The unit price per towel is $6.10.

To find the unit price per towel, we need to divide the total cost of the dish towels by the number of towels purchased. In this case, Susan paid $48.80 for eight dish towels, so the unit price per towel can be represented by the variable p. Therefore, the equation 8p = 48.80 represents this problem, where p is the unit price per towel and 8 is the number of towels.

We can solve for p by dividing both sides of the equation by 8, which gives us p = 6.10. Therefore, the unit price per towel is $6.10.

In conclusion, the equation that models this problem is 8p = 48.80, where p is the unit price per towel, and the unit price per towel is $6.10.

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f(x) = 2x is the Answer!

Answer:

f(x) = 2x is the Answer!

Step-by-step explanation:

Germany and the US are sending tanks to Ukraine as a show of support for the government in Kyiv, with Germany sending 14 Leopard 2 tanks & the US delivering 31 Abrams in the coming months.

The rationale behind this military aid is to demonstrate solidarity with Ukraine in its ongoing conflict with Russia & to bolster its military capabilities in the face of aggression. This move is seen as a signal to Russia that the international community will not tolerate further military incursions into Ukrainian territory and is committed to supporting Ukraine's sovereignty & territorial integrity. It is also hoped that this aid will help stabilize the situation in Ukraine and bring about a peaceful resolution to the conflict.

Centi, mili, micro and nano are not types of military equipment. Centi, mili, micro and nano are units of measurement used in the metric system.

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Answer:

Answer is G 1.5

Step-by-step explanation:

1. Distribute the 5 to x and 2 by multiplying. and the 7 to the 4 and -x by multiplying

2. carry over the 7x by adding it to 5x. to get x to one side.

3. subtract 10 from both side

4. Divide both side by 12

5. simplify and convert to decimal

Answer:

true

a^4.a^5=a^9

base same then power should be added

a^4+5

a^9

Answer:

x = 8.4

Step-by-step explanation:

8 times 0.8 is 6.4, then 40 - 6.4 is 33.6, and 33.6 divided by 4 is 8.4

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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The expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

How to solve cos3x/sinx cosx?Given an expression cos3x/sinx cosx.

The goal is to simplify it using trigonometric identities.

We know that the quotient identity of tan x is:

tan x = sin x / cos x

We can convert the above equation as:

cos x / sin x = 1 / tan x

Similarly, cot x = cos x / sin x

We can convert the above equation as:

sin x / cos x = 1 / cot x

Now, we can use the above equations to simplify the given equation.

Simplify cos3x/sinx cosx

We have:

cos3x/sinx cosx= cos2x * cosx / sinx cosx

= cos2x / sinx + cos2x / cosx

= cos2x/sinx + cos x

And, we know that

cos 2x =\(1 - 2sin^2x\)

= \(2cos^2x - 1\)

Substituting this value in the above equation, we get:

cos3x/sinx cosx = (\(2cos^2x - 1\)) / sinx + cos x

= secxcos2x- cscxsin 2x

Therefore, the expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

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Answer:

(-1, -10) and (-2,0) lmk if I made an error

The bacteria can't double again in the remaining 4 hours, the final count after 24 hours will be 160,000 bacteria.

Given that 10000 bacteria are present initially and the number doubles every 5 hours, you can determine the number of bacteria present in 24 hours by using the formula: Final number of bacteria = Initial number * 2^(Elapsed time / Doubling time). In this case, the initial number is 10000, the elapsed time is 24 hours, and the doubling time is 5 hours. Plugging these values into the formula:
Final number of bacteria = 10000 * 2^(24/5)
The final number of bacteria ≈ 793,700
After 24 hours, there will be approximately 793,700 bacteria.

If the number of bacteria doubles every 5 hours, then in 24 hours the number of bacteria will double 4 times (24/5 = 4.8, rounded down to 4). So, the initial 10,000 bacteria will double to 20,000 after 5 hours, then to 40,000 after 10 hours, 80,000 after 15 hours, and finally to 160,000 after 20 hours. Since the bacteria can't double again in the remaining 4 hours, the final count after 24 hours will be 160,000 bacteria.

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The finance charge is $285

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

Given;

An installment loan that has an APR of 16 percent

The motor scooter sells for $1,687

The store financing requires a 20 percent down payment

Monthly payments are for 30months

Now,

Downpayment= cost of scooter*20%

=1687*20%

=$337.4

Amount of finance = Cost of scooter - Down payment

=1687-337.4=1349.6

Interest rate=16%*1/12=1.3% per month

Monthly payment = Amount of finance*I/[1-(1+I)^-n]

=1349.6*1.3%/[1-(1+1.3%)^-30]

=1349.6*0.013(1-0.6780)

=17.5448/0.322

=54.486

Total amount paying for loan over a period = Monthly payment * Term

=54.486*30=1634.6

Amount of finance charge = Total amount paying for loan - Amount of loan

Amount of finance charge =1634.6-1349.6

=285

Therefore, the finance charge by given percent will be $285

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Answer:

The combined weight of all the basket  is 9 pounds.

Step-by-step explanation:

Given that,

Weight of berries \(W=1\dfrac{1}{4}\ pounds\)

\(W=\dfrac{5}{4}\ pounds\)

Suppose, The weights of some of their baskets are ,

Weight of first basket with berries = 2 pound

Weight of second basket with berries = 3 pound

Weight of third basket with berries = 4 pound

Weight of fourth basket with berries = 5 pound

We need to calculate the weight of first basket

Using formula for weight

\(W_{b}=W_{b+be}-W_{be}\)

Where, \(W_{b+be}\) = weight of basket with berries

\(W_{b}\) = weight of basket

\(W_{be}\) = weight of berries

Put the value into the formula

\(W_{b}=2-\dfrac{5}{4}\)

\(W_{b}=\dfrac{8-5}{4}\)

\(W_{b}=\dfrac{3}{4}\ pounds\)

Similarly,

We need to calculate the weight of second basket

Using formula for weight

\(W'_{b}=W_{b+be}-W_{be}\)

Put the value into the formula

\(W'_{b}=3-\dfrac{5}{4}\)

\(W'_{b}=\dfrac{12-5}{4}\)

\(W'_{b}=\dfrac{7}{4}\ pounds\)

We need to calculate the weight of third basket

Using formula for weight

\(W''_{b}=W_{b+be}-W_{be}\)

Put the value into the formula

\(W_{b}=4-\dfrac{5}{4}\)

\(W_{b}=\dfrac{16-5}{4}\)

\(W_{b}=\dfrac{11}{4}\ pounds\)

We need to calculate the weight of fourth basket

Using formula for weight

\(W_{b}=W_{b+be}-W_{be}\)

Put the value into the formula

\(W_{b}=5-\dfrac{5}{4}\)

\(W_{b}=\dfrac{20-5}{4}\)

\(W_{b}=\dfrac{15}{4}\ pounds\)

We need to calculate the combined weight of all the basket

On adding weight of all basket

\(W= W+W'+W''+W'''\)

Put the value into the formula

\(W=\dfrac{3}{4}+\dfrac{7}{4}+\dfrac{11}{4}+\dfrac{15}{4}\)

\(W=9\ pounds\)

Hence, The combined weight of all the basket  is 9 pounds.

Answer:

44 square units

Step-by-step explanation:

If you find the area for the individual parts of the shape, you will eventually end up adding each area to get the overall area of the shape. Hope this helps and good luck with this assignment :)

Answer:

a couple different obes

Step-by-step explanation:

there are five

The answer to your question would be 1530 because the whole number is 1800 and then the 85% would be 153.

Answer:

Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.

240 + 123 > 207 true

240 + 207 > 123 true

123 + 207 > 240 true

A = √(s(s-a)(s-b)(s-c))

s is the semi-perimeter (a + b + c)/2

s = (240 + 123 + 207)/2

s = 285

A = √(285*(285-249)(285-123)(285-207))

A = 12,730 units^2

Step-by-step explanation:

Max : 10 steps : Dad: 3 steps.

So it you multiply those each by ten, you get

100 steps : 30 steps.

30 Dad steps is 100 Max steps, so you get the answer, which is 100!

The steps taken by Max is 100.

A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations.

Given

steps taken by Max = 10

Steps taken by his Dad = 3

both steps of Dad and steps of Max should be in ratio

3/10 …(1)

steps taken by his Dad = 30

let steps taken by Max = x

ratio = 30/x …..(2)

equation 1 equals equation 2

3/10 = 30/x  

x = (30 x 10)/3

x = 100

Hence Max must take 100 steps.

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a) Histogram for first , second and third data set is present in first, second and third above figure and it shows data is

left-skewed, symmetric and right-skewed.

b) Sample means for first, second and third data set are 14.96667, 20.83, 41.3 respectively. Sample medians for first, second and third data set are 15.5, 21, 39.5 respectively. Yes, they support our findings about skewness and symmetry.

We have three data sets of probability and statistics for computer scientists are present below, (1) 19, 24, 12, 19, 18, 24, 8, 5, 9, 20, 13, 11, 1, 12, 11, 10, 22, 21, 7, 16, 15, 15, 26, 16, 1, 13, 21, 21, 20, 19

(2) 17, 24, 21, 22, 26, 22, 19, 21, 23, 11, 19, 14, 23, 25, 26, 15, 17, 26, 21, 18, 19, 21, 24,

18, 16, 20, 21, 20, 23, 33

(3) 56, 52, 13, 34, 33, 18, 44, 41, 48, 75, 24, 19, 35, 27, 46, 62, 71, 24, 66, 94, 40, 18, 15, 39, 53, 23, 41, 78, 15, 35

a) Histogram is defined as a bar graph like representation of data that buckets a range of classes into columns along the horizontal x-axis.

From the above histogram, the data looks left-skewed.

From the above histogram, data looks like almost symmetric.

From the above histogram, the data looks right-skewed.

b) Sample mean and median :

As we see here data values are larges in count. So, for making the process easy we can use Excel command.

= mean(x₁ column) , output 14.96667

= median(x₁column) = 15.5

Now, Mean < Median => Data is left - skewed. Similarly, mean(x₂ column ) = 20.83333 and median(x₂ column) = 21

Mean = 20.83

Median = 21

Mean ≈ Median => Data is symmetric. input : = mean(x₃) ; output : 41.3

input : = median(x₃) ; output: 39.5

Mean = 41.3

Median = 39.5

Mean > Median => Data is right - skewed.

Based on the above calculations, we conclude that scenario 1 ( that is histogram method) has lesser cost and is preferable.

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Answer:

i agree

Step-by-step explanation:

Answer:

possibly " remainders "

Step-by-step explanation:

hope this helps <3

Simpson's Paradox makes this claim possible.

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observed when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the batting averages as found online are given as follows:

Season                      Derek Jeter                           David Justice

1995                           12/48 = 0.250                         104/411 ≈ 0.253

1996                           183/582 ≈ 0.314                      45/140 ≈ 0.321

The overall hits to the overall bat's ratio are:

(183 + 12)/(582 + 48) ≈0.310   (104+45)/(411+140) = 0.27

This shows that  Derek Jeter's overall average was better than Justice's average.

Thus, Simpson's Paradox makes this claim possible.

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As per the given average, the team statistician claims Jeter's overall average was better than Justice's average is 0.27

Here we have given that the following table of data is presented

Time,                       Score of Derek Jeter               Score of David Justice

At 1995,                         ≈  0.250                                     ≈ 0.253

At 1996,                          ≈ 0.314                                      ≈ 0.321

Then the overall score for Derek Jeter is calculated by

=>  (183 + 12)/(582 + 48) ≈0.310  

And the overall score for  David Justice is calculated as

=> (104+45)/(411+140) = 0.27

Here the resulting values shows that  Derek Jeter's overall average was better than Justice's average  

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Answer:

Here is the ans ...hope it helps:)

To solve a first order linear equation, we can use an integrating factor to make the left side of the equation into the product of the integrating factor and the dependent variable. The integrating factor is given by μ(x)=exp(∫p(x)dx).

Given the equation xy′+(1+4x)y=10x^2−4x, we can find the integrating factor by first identifying p(x) and then finding the integral of p(x). In this case, p(x)=-(1+4x)/x. So, the integrating factor is:

μ(x)=exp(∫-(1+4x)/xdx)=exp(-∫(1/x)dx-∫(4)dx)=exp(-ln|x|-4x)=x^(-1)e^(-4x)

Now we can multiply both sides of the equation by the integrating factor to get:

x^(-1)e^(-4x)(xy′+(1+4x)y)=10x^2e^(-4x)−4xe^(-4x)

This simplifies to:

(ye^(-4x))′=10x^2e^(-4x)−4xe^(-4x)

Now we can integrate both sides of the equation to find the general solution:

ye^(-4x)=∫(10x^2e^(-4x)−4xe^(-4x))dx+C

Using integration by parts and the arbitrary constant C, we can find the general solution:

y(x)=e^(4x)(-5/8x^2e^(-4x)-1/4xe^(-4x)+1/16e^(-4x)+C)

To solve the initial value problem with y(1)=3−4, we can plug in the initial values and solve for the arbitrary constant C:

3−4=e^(4)(-5/8e^(-4)-1/4e^(-4)+1/16e^(-4)+C)

-1=(-5/8-1/4+1/16)+Ce^(4)

C=(-1+5/8+1/4-1/16)e^(-4)=(-1/8)e^(-4)

So the solution to the initial value problem is:

y(x)=e^(4x)(-5/8x^2e^(-4x)-1/4xe^(-4x)+1/16e^(-4x)+(-1/8)e^(-4))

Using the properties of exponents, we can simplify the solution to get:

y(x)=-5/8x^2-1/4x+1/16+(-1/8)e^(4x-4)

This is the solution to the initial value problem.

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Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).