Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?

Explanation:

Points are locations in space or on a 2D flat plane. Think of an address to a house or perhaps longitude/latitude coordinates. Such locations do not have any width, length or height. There are no dimensions a point. Points are infinitely small. The only reason they appear to have a size is because otherwise we wouldn't be able to see the point locations.

This is why choices A B and D can be ruled out. Only choice C is true.

The injury probability p that makes the decision maker indifferent between entering now and waiting until next year is approximately 0.26.

To calculate this probability, we need to set the expected values of entering now and waiting until next year equal to each other and solve for p. Let EMV₁ be the expected value of entering now and EMV₂ be the expected value of waiting until next year. Then we have:

EMV₁ = -1000p + 5000(1-p)

EMV₂ = 0.9(-1000p) + 0.1(5000)

Setting EMV₁ equal to EMV₂, we get:

-1000p + 5000(1-p) = 0.9(-1000p) + 0.1(5000)

Solving for p, we get:

p ≈ 0.26

Therefore, if the probability of injury is greater than 0.26, the decision maker should wait until next year to enter the market, and if the probability of injury is less than 0.26, the decision maker should enter the market now.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

diameter = 12 km

angle = 150°

lenght arc = ?

Step 02:

length arc = (angle / 360) 2πr

r = 6 km

length arc = 15.71 km

The answer is:

The length of the arc is 15.71 km.

Answer:

Quarter: 5/11 Dime: 2/11

These are fractions and 11 is the total number of coins.

The probability of picking a quarter or a dime is,

                        \(P(E)=\frac{7}{11}\)

Given that,

A bag contains 5 quarters, 2 dimes, and 4 pennies.

Total number of outcomes \(=5+2+4=11\)

We have to find the probability of picking a quarter or a dime.

So that favourable outcomes is  5 quarters and  2 dimes

Number of favourable outcomes\(=5+2=7\)

the probability of picking a quarter or a dime is,

                        \(P(E)=\frac{7}{11}\)

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Answer:

100

Step-by-step explanation:

"Percent" or "%" means "out of 100" or "per 100".

Therefore 20% can be written as  20 /100

Therefore, 20 is 20% of  100

Answer:

Factoring.

Completing the Square.

Quadratic Formula.

Graphing.

Step-by-step explanation:

Hope it helps!

The division of the given expressions gives quotient as x + 6 and the remainder 42.

Synthetic division is the method of division used to divide a polynomial expression with the binomial.

We have to divide x² + x + 12 by x - 5.

Write the coefficients of the dividend in the order of descending powers and the constant term in the binomial as :

 5 |     1    1    12

Write the leading coefficient in the bottom row and then multiply the 1 written on the bottom row with 5 and write it beneath the next coefficient of the dividend.

 5 |     1    1    12

               5    

          1    

Now add 1 + 5 to get 6 and write in the bottom row.

Repeat the process by multiplying 6 with 5 and adding up.

 5 |     1    1    12

               5   30

          1    6   42

Here, 42 is the remainder and 1 and 6 are the coefficients of the quotient.

Quotient = x + 6

Remainder = 42

Hence the quotient and remainder are x+6 and 42 respectively.

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By definition, the x-coordinate of the terminal point is equal to cos t and the y-coordinate is equal to sin t. This allows us to easily find the values of sin t and cos t. To find tan t, we use the formula tan t = sin t / cos t, which we can substitute with our previously found values for sin t and cos t.

First need to understand what is meant by the terms "terminal point" and "unit circle". The unit circle is a circle with a radius of 1, centered at the origin of the coordinate plane. The terminal point is the point where the circle intersects with a line that starts at the origin and passes through an angle t measured in radians.
To find sin t and cos t, we need to look at the coordinates of the terminal point. Let's call the x-coordinate of the terminal point x' and the y-coordinate y'. By definition, x' = cos t and y' = sin t. Therefore, sin t = y' and cos t = x'.
To find tan t, we use the formula tan t = sin t / cos t. Substituting in our values for sin t and cos t, we get:
tan t = y' / x'
So, to summarize:
- sin t = y'
- cos t = x'
- tan t = y' / x'
In summary, we can use the unit circle to determine the values of sin t, cos t, and tan t for any angle t measured in radians. The terminal point on the unit circle is the point where the circle intersects with a line passing through the origin at angle t.

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Answer:

a)9.5

b)12

Step-by-step explanation:

All the correct statements are,

⇒ the absolute value a number is from 0 on a number line

⇒ The additive inverse of a number

⇒ Horizontal left and right

⇒ An integer number or its opposite

⇒ Straight vertical and down

⇒ A set of two opposite numbers that equal zero when combined.

We have to given that;

To fill the blanks in all the statement.

Hence, We get;

We know that;

⇒ The absolute value a number is from 0 on a number line

⇒ The additive inverse of a number

⇒ Horizontal left and right

⇒ An integer number or its opposite

⇒ Straight vertical and down

⇒ A set of two opposite numbers that equal zero when combined.

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Considering that the larger triangle is the image of the smaller triangle after a dilation whose center is at (-2,1), the scale factor that was used in the dilation is 2.

Dilation is a technique for creating comparable figures that have their size reduced or increased by certain scaling factors.

Hence, the dilation of a triangle involves decreasing or increasing their sizes by a scale factor.

Considering the larger triangle which is the image of the smaller triangle after a dilation with center at (-2,1);

Scale factor = 5 - 1 / 1 - (-1)

Scale factor = 4 / 2

Scale factor = 2

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Answer:

D. 3x1/6

E. 2x2/4

F. 4x5/6

A. 3x3/4

C. 2x2/3

B. 4x1/4

Answer:

I hope this helps!

Answer:

Yes, but you have to write what the slope and y-intercept of the equation is as well.

Step-by-step explanation:

(Not sure if you wanted the full answer or just if you should graph it but I'm putting it here anyways :^P)

First convert the equation from standard form to slope-intercept form.

5x-3y=18 -> 5x-18-3y -> 5/3x-6=y

5/3x is the slope and 6 is the y-intercept!

Then graph the equation.

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

\(\sf \rightarrow 5x - 3y = 18\)

\(\sf \rightarrow - 3y = 18-5x\)

\(\sf \rightarrow y = \dfrac{-5x+18}{-3}\)

\(\sf \rightarrow y = \dfrac{-5x}{-3} + \dfrac{18}{-3}\)

\(\sf \rightarrow y = \dfrac{5}{3}x -6\)

comparing with y = mx + b, Here we can identify that the

x-intercept:          ( then y will be 0 )

\(\sf \hookrightarrow \dfrac{5}{3}x -6=0\)

\(\sf \hookrightarrow \dfrac{5}{3}x=6\)

\(\sf \hookrightarrow x=\dfrac{18}{5}\)

\(\sf \hookrightarrow x = 3.6\)

In order to graph the line

Graph:

To determine the number of liters needed for an order of Kefzol 1.125 g IV q6h, we first need to convert the grams to milligrams.
1.125 g = 1,125 mg

Next, we need to calculate the total volume of Kefzol needed for each dose.

225 mg is equal to 4 mL, so:

1,125 mg ÷ 225 mg/mL = 5 mL

Therefore, each dose of Kefzol requires 5 mL.

To determine the number of liters needed for the entire order, we need to know how many doses will be given per day.

Assuming a standard dosing schedule of q6h, this means the patient will receive 4 doses per day.

So, the total volume of Kefzol needed per day is:

4 doses/day x 5 mL/dose = 20 mL/day

To convert this to liters, we divide by 1000:

20 mL/day ÷ 1000 = 0.02 L/day

Therefore, for an order of Kefzol 1.125 g IV q6h, we will need approximately 0.02 liters per day.

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The most accurate statement is: "A statistic is a random variable whose value depends on a random sample chosen."

A statistic is a calculated value from a sample of data. It is a random variable as its value depends on the selected sample. For example, the sample mean is a statistic whose value depends on the specific value of each observation in the sample.

parameters are fixed values ​​that characterize the population. Usually unknown and estimated using sample data. For example, the population mean is a parameter that can be estimated using sample data.

In summary, a statistic is a value computed from sample data that is used to draw inferences about a population. Parameters are values ​​that characterize a population and are estimated from sample data.

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Answer:

x= 5

Step-by-step explanation:

2x+ 15=25

-15 -15

2x= 10

/2 /2

x=5

Answer:

x = 5

Step-by-step explanation:

2x + 15 = 25

2x + 15 - 15 = 25 - 15            (subtract 15 from both sides)

2x = 10

2x/2 = 10/2                           (divide by 2 on both sides)

x = 5

Answer:

\(\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}\)

Step-by-step explanation:

The equation of a line:

\(y=mx+b\)

We have

\(m=\dfrac{2}{3}\)

substitute:

\(y=\dfrac{2}{3}x+b\)

The formula of a distance between a point and a line:

General form of a line:

\(Ax+By+C=0\)

Point:

\((x_0,\ y_0)\)

Distance:

\(d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}\)

Convert the equation:

\(y=\dfrac{2}{3}x+b\)     |subtract \(y\) from both sides

\(\dfrac{2}{3}x-y+b=0\)    |multiply both sides by 3

\(2x-3y+3b=0\to A=2,\ B=-3,\ C=3b\)

Coordinates of the point:

\((0,\ 0)\to x_0=0,\ y_0=0\)

substitute:

\(d=4\)

\(4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}\)

\(4=\dfrac{|3b|}{\sqrt{13}}\qquad|\)    |multiply both sides by \(\sqrt{13}\)

\(4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}\)   |divide both  sides by 3

\(b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}\)

Finally:

\(y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}\)

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Answer:

168 miles

Step-by-step explanation:

a. The distance between Ari's weight and the average weight of the class is 3.6 pounds.

b. Approximately 9.96% of the students weigh less than Ari.

c. Approximately 90.04% of the students weigh more than Ari.

d. Approximately 7.89% of the students weigh between Stephen and Ari's weight.

a. The distance between Ari's weight (87.9 pounds) and the average weight of the class (91.5 pounds) can be calculated as the absolute difference between the two values:

Distance = |Average Weight - Ari's Weight|

         = |91.5 - 87.9|

         = 3.6 pounds

Therefore, the distance between Ari's weight and the average weight of the class is 3.6 pounds.

b. To determine the percentage of students who weigh less than Ari, we need to find the area under the normal distribution curve to the left of Ari's weight. This can be calculated using the z-score formula and the standard deviation:

Z-score = (Ari's Weight - Average Weight) / Standard Deviation

       = (87.9 - 91.5) / 2.8

       = -1.2857

Using a standard normal distribution table or calculator, we can find the corresponding area or percentile for the z-score of -1.2857. Let's assume it is P(Z < -1.2857) = 0.0996 or 9.96%.

Therefore, approximately 9.96% of the students weigh less than Ari.

c. To determine the percentage of students who weigh more than Ari, we can subtract the percentage from part b from 100%:

Percentage = 100% - 9.96%

          = 90.04%

Therefore, approximately 90.04% of the students weigh more than Ari.

d. To find the percentage of students who weigh between Stephen and Ari's weight, we can use the same approach as in part b. Calculate the z-scores for Stephen's weight (85.8 pounds) and Ari's weight (87.9 pounds):

Z-score for Stephen = (Stephen's Weight - Average Weight) / Standard Deviation

                   = (85.8 - 91.5) / 2.8

                   = -2.0357

Z-score for Ari = (Ari's Weight - Average Weight) / Standard Deviation

               = (87.9 - 91.5) / 2.8

               = -1.2857

Using the standard normal distribution table or calculator, find the area or percentile for the z-scores -2.0357 and -1.2857. Let's assume they are P(Z < -2.0357) = 0.0207 or 2.07% and P(Z < -1.2857) = 0.0996 or 9.96%, respectively.

The percentage of students who weigh between Stephen and Ari's weight can be calculated as the difference between these two percentages:

Percentage = P(Z < -1.2857) - P(Z < -2.0357)

          = 9.96% - 2.07%

          = 7.89%

Therefore, approximately 7.89% of the students weigh between Stephen and Ari's weight.

Complete Question:

The 6th grade students at Montclair Elementary school weigh an average of 91.5 pounds, with a standard deviation of 2.8 pounds.

a. Ari weighs 87.9 pounds. What is the distance between Ari's weight and the average weight of the class?

b. What percent of the students weigh less than Ari?

c. What percent of the students weigh more than Ari?

d. Stephen weighs 85.8 pounds. What percentage of the class are between Stephen and Ari's weight?

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Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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Learn more

Answer:

-x+8y-27

Step-by-step explanation:

-(x-8y+27)

so the sub symbol is kinda just 1 sense there isnt anything else for there

-1(x-8y+27)

now just like group them or smt

-1(x)+(-1)(-8y)+(-1x27)

so yea then tou multiply all of them and then

-x+8y-27

also

- x - = +

+ x + = +

- x + = -

To find the scale factor of dilation we need to know the coordinated and centre point of dilation

The scale factor of a dilation is a number that represents the relationship between the lengths of objects before and after the dilation. It is equal to the ratio of the lengths of corresponding sides after and before the dilation.

To find the scale factor of a dilation, it is required to know the coordinates of the two points that the dilation acts on. The scale factor is then given by the ratio of the distances between the two points after and before the dilation. We locate the centre of the dilatation, and then we measure the distances between this centre and various points on the preimage and the final image. Then the scale factor is determined by the ratio of these distances.

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Answer:

Step-by-step explanation:

Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Answer: Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Step-by-step explanation:

If it takes 10 workers 2.5 years to build a 20 story building, it will take 2.5 sec 20 workers to build a 40 story building.

Given that a skyscraper's height and the number of workers needed to build it determine how long the project takes, We must make the time.

Allow the time t, height h, and number of workers to be ω.

Then, based on the relationship,

t = kh/ω

where k is constant.

The formula in the term of k is:

k = tω/h

Additionally, it takes 10 employees t0 2.5 years to construct a 20-story skyscraper.

Now putting the value

k = (2.5 × 10)/20

k = 25/20

k = 5/4

If a 40-story skyscraper requires 20 workers to construct, we have

t = kh/ω

t = (5/4) × (40/20)

t = 5/2

t = 2.5 sec

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The complete question is:

The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. If it takes 10 workers 2.5 years to build a 20 story building, how long will it take 20 workers to build a 40 story building?

Using degree of freedom,

Two degrees of freedom would we report when we report the results of our study is (2,24).

Degree of freedom:

The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.

degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters

DF = N – P

Where:

N = sample size

P = the number of relationships

We given that,

Number of groups , k = 3

Number of total participants, n = 27

Degrees of freedom for F-test is F(k-1,n-k)

= F(3-1 , 27-3)

= F(2,24)

Hence, (2,24,) are required two degrees of freedom.

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Answer:

B.x<25

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x+3)>4(x−4)

Step 1: Simplify both sides of the inequality.

3x+9>4x−16

Step 2: Subtract 4x from both sides.

3x+9−4x>4x−16−4x

−x+9>−16

Step 3: Subtract 9 from both sides.

−x+9−9>−16−9

−x>−25

Step 4: Divide both sides by -1.

−x/ −1 > −25/ −1

x<25

Answer:

x<25

Answer:

-5+3....................

In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33 and the p-value is d. cannot tell - it depends on what the SSE is. Therefore, the correct option is option d.

In an ANOVA with 4 groups and a total sample size of 44, with a computed F statistic of 2.33, to determine the p-value, we need to consider the degrees of freedom for both the numerator (between groups) and the denominator (within groups).

Step 1: Calculate the degrees of freedom.
Degrees of freedom between groups (DFb) = Number of groups - 1 = 4 - 1 = 3
Degrees of freedom within groups (DFw) = Total sample size - Number of groups = 44 - 4 = 40

Step 2: Use an F-distribution table or an F-distribution calculator to determine the p-value.
With DFb = 3 and DFw = 40, you can look up the critical F value in an F-distribution table or use an online F-distribution calculator.

Based on the provided information, we cannot directly tell the p-value without consulting an F-distribution table or calculator. However, you can follow these steps to determine the p-value for the given F statistic of 2.33.

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