rita traveled 1,250 miles in the first 3 days of her trip. at this rate, how long will it take her to travel 1,875 miles? how much would it cost

You add 3 to -6 and add 1 to 3 to get -3,4

The present value of this investment project is $72,500. This can be solved by the concept of Compound interest.

The perpetual cash flow of $4,350 per year can be considered as an annuity perpetuity, where the cash flow is constant forever. To calculate the present value of this perpetuity, we can use the formula:

Present Value = Annual Cash Flow / Discount Rate

Here, the annual cash flow is $4,350, and the discount rate is the interest rate of 6%. Thus, we can calculate the present value as:

Present Value = $4,350 / 0.06

Present Value = $72,500

Therefore, to participate in this investment project, you would need to pay $72,500 today to receive $4,350 per year forever, starting from one year from now

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Answer:

You are correct, it is B.

Step-by-step explanation:

Answer:

The answer is B! I'm 100% sure!

Step-by-step explanation:

8% of $72.60 means 0.08*72.6 which equals 5.808. 20% of $72.60 means 0.2*72.6 which equals 14.52. 14.52+5.808=20.328. 20.328+72.6=92.928 which rounds up to $92.93. I hope this helps! Have a great rest of your day!

Answer:

She paid a total of $92.93 at the salon

Step-by-step explanation:

Well it costed $72.60 but then she did the sales tax which is 8% of 72.60 and then she did a tip which was 20% of 72.60. 8% of $72.60 is 5.81 and 20% of 72.60 is 14.52. Then you would add them to get $20.33 and then you would add the $20.33 to the $72.60 to get $92.93. SO she paid a total of $92.93 at the salon.

$5.81 + $14.52 = $20.33

$20.33 + $72.60 = $92.93

Answer:

12 , 13 and 14

Step-by-step explanation:

Answer:

when X=1 y = -9/2

Step-by-step explanation:

\( - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} \)

The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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The table is filled as follows

x    P(x)   x P(x)   (x - μ)²

3    3       9          961

4    7      28         900

5   22    110         841

6   60    360       784

7   85    595       729

8   32    256       676

9   8      72          625

mean, μ = 34.05

variance = 919.33

standard deviation = 30.32

The mean is calculated using the information provided as follows

= summation of (x P(x) ) / summation of x

= 1430 / 42

=34

The variance is solved by the formula

= summation of (x - μ)² / (n - 1), where n = 7

= 5516 / (7 - 1)

= 5516 / 6

= 919.33

the standard deviation is solved using the formula

= √variance

= √919.33

= 30.32

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Answer:

I'm guessing the angle 1 is supposed to be 74 degrees and not angle 2?

Step-by-step explanation:

Either way. Complementary angles always have a sum of 90°. 74+16=90 so it checks out

Answer:

Alivin= 4(x-4)

Step-by-step explanation:

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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The CLI option on the MODEL statement of an MLR analysis in PROC GLM produces confidence intervals for the mean response at all predictor combinations in the dataset. b

The CLI option stands for "Confidence Level of Intervals," and it specifies the level of confidence for the confidence intervals produced.

By default, the CLI option is set to 0.95, which means that the confidence intervals produced will have a 95% level of confidence.

These confidence intervals provide a range of values within which the true mean response at a particular combination of predictor values is expected to fall with a specified level of confidence.

They can be useful for assessing the uncertainty associated with the estimated mean response at different combinations of predictor values and for making inferences about the relationships between predictors and the response variable.

The CLI option, which stands for "Confidence Level of Intervals," defines the degree of confidence in the confidence intervals that are generated.

The CLI option's default value of 0.95 designates a 95% degree of confidence for the confidence intervals that are generated.

With a given degree of confidence, these confidence intervals show the range of values within which the real mean response for a specific set of predictor values is anticipated to fall.

They can be helpful for determining the degree of uncertainty surrounding the predicted mean response for various combinations of predictor values and for drawing conclusions on the connections between predictors and the response variable.

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Answer:

Step-by-step explanation:

One important statistic in baseball is a pitcher’s earned run average, or ERA. This number represents the average number of earned runs given up by the pitcher per nine innings. The following table lists the portion of the ERAs for pitchers playing for the New York Yankees and the Baltimore Orioles as of July 22, 2010; the complete data, labeled ERA , are available on the text website.

 New York

 Yankees ERA          Baltimore  Orioles ERA

 Sabathia 3.13        Guthrie                     4.58      

 Pettitte 2.88              Millwood                     5.77      

 Burnett 4.99              Matusz                      5.21      

 Hughes 3.99              Bergeson              6.51      

 Vazquez 4.68       Hernandez              4.29      

 Chamberlain 5.80        Berken 2.50      

 Gaudin 6.81             Hendrickson 5.23      

 Rivera 0.98           Albers 4.31      

 Robertson 4.86     Arrieta 4.87      

 Park 5.93        Simon 3.14      

 Mitre 2.88        Ohman 2.57      

 Logan 3.92        Tillman 7.92      

 Marte 4.08        Mata 7.79      

 Aceves 3.00        Meredith 5.40      

 Moseley 7.50        Uehara 2.92      

 Melancon 9.00        Castillo 10.13      

 Albaladejo 5.40        Johnson 6.52      

 Mickolio 7.36      

 Gonzalez 18.00      

a) Calculate the mean and the median ERAs for the New York Yankees. (Round your answers to 2 decimal places.)

Mean is the average sum of the numbers. It is expressed as;

\(\overline x = \frac{\sum Xi}{N}\)

Xi are the individual data

N is the sample size

From the data, the sample size for New York Yankees is 19

\(\sum Xi = 3.13+2.88+4.99+3.99+4.68+5.8+6.81+0.98+4.86+5.93+2.88+3.92+4.08+3.00+7.50+9.00+5.40+7.36+18.00\\\\\sum Xi = 105.19\\\\\overline x = \frac{105.19}{19} \\\\\overline x = 5.54 (to \ 2dp)\)

Median value is the value at the middle after re-arranging.. On rearranging in ascending order;

0.98, 2.88, 2.88, 3.00, 3.13, 3.92, 3.99, 4.08, 4.68)4.86(4.99, 5.40, 5.8, 5.93, 6.81, 7.36, 7.5, 9.00 18.00

Hence the median value is 4.86

b) Calculate the mean and the median ERAs for the Baltimore Orioles. (Round your answers to 2 decimal places.)

\(\sum Xi =4.58+5.77+5.21+6.51+4.29+2.50+5.23+4.31+4.87+3.14+2.57+7.92+7.79+5.40+2.92+10.13+6.52\\\\\sum Xi = 89.66\\\\N = 17\\\\\overline x = \frac{89.66}{17} \\\overline x = 5.27 (to\ 2dp)\)

For the median value:

Re-arrange the value in ascending order

2.50, 2.57, 2.92, 3.14, 4.29, 4.31, 4.58, 4.87)5.21(5.23, 5.40, 5.77, 6.51, 6.52, 7.79, 7.92, 10.13

Hence the median value is 5.21

c.) Based solely on your calculations above, which team is likely to have the better winning record?

The team that is likely to have the better winning record is the team with the highest mean value.

Since New York Yankees has the highest mean value of 5.54, hence the are likely to have the better winning record.

Box plots are used to represent variation in a given dataset.

The statistic that is the same for both box plot is: The interquartile range

I've added the box plots of both pitchers as an attachment

See figure 2 of the attachment on how to read a box plot.

Using the figure 2 as a guide, we have the following statistics.

League A                                                          League B

\(Minimum = 1.1\)                                                 \(Minimum= 1.0\)

\(Q_1 = 3.0\)                                                              \(Q_1 = 3.0\)

\(Q_2 = 4.0\)                                                              \(Q_2 = 3.8\)

\(Q_3 = 5.0\)                                                              \(Q_3 = 5.0\)

\(Maximum = 7.5\)                                                 \(Maximum = 7.3\)

From the above readings, the statistics that have the same value for both leagues are:

\(Q_1 = 3.0\) ----- Lower quartile

\(Q_3 = 5.0\) ---- Upper quartile

The IQR of a dataset is:

\(IQR =Q_3 - Q_1\)

\(IQR =5.0 - 3.0\)

\(IQR =2.0\)

This means that, they have the same interquartile range.

Hence, both leagues have the same (b) interquartile range

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P EQUALS NEGATIVE NINE(9)

Answer:

Y=45x

Step-by-step explanation:

Y = f(x)

If you plot a chart, you can find that relation is just a linear relation. So y = mx + c

By putting any one case into the equation, you can find c = 0 and m = 45

Retest the equation for other cases to ensure u are correct

Answer: 8.874

Your welcome

Answer:

A. 8.874

Step-by-step explanation:

1044+7830= 8874

. x3

8.874

Answer:

\(v=4468.8m^{3}\)

\(h=17.1\)

Step-by-step explanation:

\(B=28^{2}\)

\(B=784\)

\(h=\sqrt{(22.1)^{2} -(14)^{2} } \\\)

\(h=17.1\)

\(v=1/3Bh\)

\(1/3(784)(17.1)\)

\(v=4468.8m^{3}\)

\(-----------\)

hope it helps..

have a great day!!

Answer: c

Step-by-step explanation:

The correct answer is option C i.e. all of the options

Question : Why did I choose the answer as option C

Reason : To assure it we'll match all the options with the figure

First of all in the given figure all the sides and angles are equal hence, we can refer it as regular

Secondly, It is convex because all the parts are pointing outwards and inner ones are not more than 180°

Finally, As it has 8 sides it is an octagon

Now, we can see all the three options are matching leaving C which states all of these options, hence C is correct

1) What is Octagon ?

ans :- Octagon is an 8 sided polygon

2) What is a regular polygon ?

ans :- Any polygon which has equal angles and sides is known as a regular polygon.

3) What is convex ?

ans :- A convex is a shape where all the parts points outwards and interior angles are not more than 180°

(1) The expected time between successive bites is 10 seconds.

(2) The expected value is 2.5ml and variance is 1.25ml² of your blood loss from this mosquito.

(1) Let T = time between successive mosquito bites.

We want to find E(T), the expected value of T.

where, T = geometric random variable with parameter p = 0.5×0.2 = 0.1, since the time between successive mosquito bites follows a geometric distribution with success probability p = 0.1,

The probability mass function of T is given by:

P(T = t) = \((a-p)^{t-1}\)×p, for t = 1, 2, 3, ...

The expected value of T is written as:

⇒ E(T) = 1/p

⇒ E(T) = 1/0.1 = 10,

So, expected time between successive mosquito bites is 10 seconds.

(2) Let X = amount of blood drained from a mosquito bite.

Since X is = discrete uniform random variable on {1,2,3,4},

⇒ P(X = 1) = P(X = 2) = P(X = 3) = P(X = 4) = 1/4,

⇒ E(X) = Σx P(X = x)

⇒ E(X) = 1×(1/4) + 2×(1/4) + 3×(1/4) + 4×(1/4) = 2.5

So, the expected value of blood loss from a mosquito bite is = 2.5 ml.

The variance of X is given by:

⇒ Var(X) = E(X²) - [E(X)]²,

To calculate E(X²),

We have,

⇒ E(X²) = Σx (x²)×P(X = x)

Substituting the values,

We get,

⇒ E(X²) = 1²×(1/4) + 2²×(1/4) + 3²×(1/4) + 4²×(1/4) = 15/4,

Substituting into formula for variance,

We get,

⇒ Var(X) = 15/4 - (2.5)² = 5/4 = 1.25.

Therefore, the variance of blood loss from a mosquito bite is 1.25 ml².

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The equation representing the value of the collection after 7 years is  value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4

An equation is a mathematical statement , where the algebraic expression is equated to another algebraic expression.

It is given that

Ella has a collection of vintage action figures that is worth $430.

collection

appreciates at a rate of 4% per year

equation representing the value of the collection after 7 years is

value of collection = 430 + (0.04 * 430 )* t

value of collection = 430 + (0.04 * 430 )* 7

= $550.4

Therefore the equation representing the value of the collection after 7 years is  value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4

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Answer:

a) $420 b) $399

Step-by-step explanation:

a) $600 = 100%

$60 = 10%

$60 times 3 gives 30% = $180

$600 - $180 = $420

b) $420 = 100%

$42 = 10%

$21 = 5%

this means, they profitted by $21.

so $420 - $21 = $399

therefore, $399 is the cost price

Answer:

y = 1.4m + 7.4

Step-by-step explanation:

Answer:

53.63 feet

Step-by-step explanation:

Answer:

The alphabets Z, H, S, N and O have rotational symmetry.

Answer:

The perimeter of a square field is given by the equation P = 2l + 2w, where P represents the perimeter, l represents the length of the field, and w represents the width of the field.

Answer:

\(\huge\boxed{\text{First Car: 25 gallons}}\)

\(\huge\boxed{\text{Second Car: 15 gallons}}\)

Step-by-step explanation:

In order to find how many gallons of fuel were used by each car, we need to understand what everything means.

If you travel 15 miles per gallon, then every 15 miles travelled will be 1 gallons of fuel used. Same logic applies for 40 miles per gallon.

We can assign each car's total gallons used to variables - let's call the first car x and the second car y.

To find the distance that each car travelled, we can make an expression for each.

First car: \(15x\), since you go 15 miles per gallon.

Second car: \(40y\) since you go 40 miles per gallon.

Since these cars combined went a total of 975 miles, we can make an equation.

\(15x+40y=975\)

We also know the total fuel consumption was 40 gallons. Therefore:

\(x+y=40\)

We can now solve this systems of equations.  Let's use the elimination method, where we manipulate one expression so we can get rid of a variable.

So we know the second car consumed 15 gallons of fuel. We can now substitute this back into \(x+y=40\) as y to find the value of x.

So the first car consumed 25 gallons and the second car consumed 15.

Hope this helped!

Answer:

True

Step-by-step explanation:

The given statement "John Graunt is said to be the first to employ quantitative methods to describe population vital statistics" is true as he was interested in how various factors affected mortality rates and population growth.

Quantitative methods are used to quantify and assess data. These techniques are employed by statisticians and scientists in a variety of fields, including psychology, economics, and public health. Quantitative data can be transformed into statistical analyses to make sense of patterns, patterns, and relationships.

John Graunt was a London haberdasher who lived from 1620 to 1674. He is known as the father of vital statistics, and he was the first to employ quantitative methods to describe population vital statistics.

Graunt was interested in how various factors affected mortality rates and population growth, and he used statistical methods to investigate these issues.

In summary, John Graunt is said to be the first to employ quantitative methods to describe population vital statistics.

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The sailboat and the medical aid should meet at the points

(0, 7) and (5, 12).

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

The intersection point between the two graphs y = - x² + 6x + 7 and y = x + 7 is the point where they meet each other.

Now, For the equation y = - x² + 6x + 7,

When x = 0, y = 7 ⇒ (0, 7).

when x = 1, y = 12 ⇒ (1, 12).

Now for y = x + 7,

when x = 1, y = 8 ⇒ (1, 8).

when x = 2, y =9 ⇒ (2, 9).

Now by taking the graph paper with each box of 1 square unit will plot these points and we obtain that at (0, 7) and (5, 12) these graphs intersect each other.

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