Some friends decided to equally split the cost of gas on their trip. The expression 3g43g4 represents how much money each person had to pay in dollars for g gallons of gas.

What does the expression 3g3g in the numerator represent?
Question 2 options:


The cost per gallon of gas


The total cost of the gas before it was split between the friends


The cost per person


The number of people splitting the cost of the gas

Answer:

it's the square and the rectangle

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3u-1/2u or 3u-0,5u or 3u-u/2

Answer:

The volume is multiplied by 8.

Step by step explanation:

Let the length equal l, the width equal w, and the height equal h for the original rectangular prism.

The volume of a right rectangular prism with length l, width w, and height h is V=lwh.

Therefore, the volume of the original prism is lwh.

The new rectangular prism has dimensions that are twice those of the original rectangular prism: the length equals 2l, the width equals 2w, and the height equals 2h.

To calculate the volume of the rectangular prism, substitute the doubled values into the formula for the volume of a rectangular prism.

V=2l·2w·2h

Simplify.

V=8lwh

The new volume is 8lwh.

If the length, width, and height of a right rectangular prism are doubled, the volume is multiplied by 8.

Therefore, the new volume is the original volume multiplied by 8.

The triangle formed by cities A, B, and C is an obtuse triangle.

To determine the type of triangle formed, we can analyze the lengths of the sides. According to the given information, the distance between city A and city B is 22 miles, between city B and city C is 54 miles, and between city A and city C is 51 miles.

Using the triangle inequality theorem, we find that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. However, in this case, 22 + 54 = 76, which is less than 51. Therefore, the triangle violates the triangle inequality, indicating that it is an obtuse triangle.

An obtuse triangle is a triangle where one of the angles measures greater than 90 degrees. In this scenario, the angle formed at city C is the obtuse angle.

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To the given question probability is 0.6847 to four decimal places.

What is probability?

Here, we'll want to use z scoring to determine the probabilities that x will be either 9 or 5, after which we'll subtract P(x=5) from P(x=9) to determine the likelihood that x will fall between these two numbers.

Find the z score for every value to begin.

x = 9 , z = (x-μ)/σ = (9-6)/2 = 3/2

x = 5 , z = (x-μ)/σ = (5-6)/2 = -1/2

The probability for every individual z score can then be determined using the z score table.

P(x<=5) = .3085

P(x<=9)= .9332

Subtract P(x=9) from P(x=5) to get.9932 -.3085, which equals .6847

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Sample average: To calculate the sample average, add up all the measurements and divide by the number of measurements.

42.4 + 65.7 + 29.8 + 58.7 + 52.1 + 55.8 + 57.0 + 68.7 + 67.3 + 67.3 + 54.3 + 54.0 = 751.4

Sample average = 751.4 / 12 = 62.62

Sample standard deviation steps:

Subtract the sample average from each measurement to find the deviations.

Square each deviation.

Add up the squared deviations.

Divide the sum by the number of measurements minus one (n-1).

Take the square root of the result.

Sample standard deviation = sqrt(sum of squared deviations / (n-1))

Dot diagram: A dot diagram, also known as a dot plot, is a simple graphical representation of a set of data where each data point is represented by a dot on a number line. To create a dot diagram, plot each measurement as a dot on a number line with the corresponding value.

This is a useful tool to visualize the distribution of the data and to see the general pattern, such as the presence of outliers, skewness, or clusters.

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in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus

\(tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill\)

Answer:

x=3.6, y=-2.5

Step-by-step explanation:

we have:

5x+4y=8

10x-4y=46

add across to get rid of y (5x+10x=15x, 4y+(-4)=0y, 8+46=54:

15x=54

dividing both sides by 15

x=3.6

input x=3.6 into any of the first two equations, I'll use the first:

5x+4y=8

5(3.6)+4y=8

18+4y=8

subtract 18 on both sides

4y=-10

y=-10/4=-2.5

y=-2.5

Step-by-step explanation:

if you mean the area of the triangle then it is S = 1/2*x(x-7)

Answer:

Step-by-step explanation:

b= x cm

h = (x - 7) cm

Area of triangle = \(\frac{1}{2}*x*(x-7)\\\\\)

                           \(\frac{x*x-x*7}{2}\\\\=\frac{x^{2}-7x}{2}\)   square cm

After simplification, There are 0.625% of 600 is 3 3/4.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The number of 600 is 3 3/4.

Let value of percent = x

Hence, We get;

⇒ x% of 600 = 3 3/4

⇒ x/100 × 600 = 15/4

⇒ 6x = 15/4

⇒ x = 15/24

⇒ x = 0.625

Thus, There are 0.625% of 600 is 3 3/4.

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The value of the permutations are 11880 , 420 , 604800, 56, 1680, 14, 720, 4151347200, 1/720,  120960, 1/12, 6435, 705729024, 1.0199247655787E47

In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets.

1) 12!/8! = 12*11*10*9 = 11880 ways

2) 7!/2!2! = 7*6*5*4/2 = 420 ways

3) 10!/3! = 10*9*8*7*6*5*4 = 604800 ways

4)  8!/6! = 8*7 = 56 ways

5) 8!/4! = 8*7*6*5 =1680 ways

6) 2!2!*x! = 96

4x = 96

Therefore x = 14

7) 6! = 6*5*4*3*2*1 = 720

8) 16!/7! = 16*15*14*13*12*11*10*9*8 = 4151347200

9) 7!/10! = 1/720

10) 2!9!/(10-7)

= 2!9!/3! = 120960

11)  2P4 = 2!/4! = 2*1/4*3*2*1

1/4*3

= 1/12

12  15C8= 15!/(15-8)!8!

= 15*14*13*12*11*10*9/7*6*5*4*3*2*1

= 32432400/5040

= 6435

13)  17!/7!

= 17*16*15*14*13*12*11*10*9*8

= 705729024

14)  27C22

= 27!/(27-22)*22!

= 1.0199247655787E47

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The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

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Answer:

Step-by-step explanation:

2x = 6 + 3y

2x - 6 = 3y

Find the y-intercept when x = 0:

0 - 6 = 3y

-6 = 3y

-2 = y

Find the x-intercept when y = 0:

2x - 6 = 0

2x = 6

x = 3

a. The difference between the highest data speed (74.5 Mbps) and the mean of all 50 data speeds (17.34 Mbps) is:

74.5 - 17.34 = 57.16 Mbps

b. To find the number of standard deviations, divide the difference by the standard deviation:

57.16 / 20.79 = 2.75

So, the difference of 57.16 Mbps is 2.75 standard deviations from the mean.

Mbps known as for “Megabits per second.” This is the standard measure of “speed” or “bandwidth” on home internet connections.

It finds how many bits (units of digital information) can be transferred each second. You’ll normally see speeds ranging from 10-1,000 Mbps advertised for home internet plans.

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Step-by-step explanation:

3.)

34 + 3√(4 • 6 ÷ 2)^2 + 5^2

34 + 3√(12)^2 + 25

34 + 3√144 + 25

34 + 3√169

34 + 3 × 13

34 + 39 = 73

4.)

|9 - 12 • 3| - 2 + 10/2^2 + 10 - 7

|9 - 36| + 8/4 + 10 - 7

9 + 36 + 8/7 = 53/7

Answer:

(i) The probability of getting a heart is 13/49

(ii) The probability of getting a club is 10/49

Step-by-step explanation:

yw

Answer: rational

Step-by-step explanation:

Answer:

Associative Property of Addition

Step-by-step explanation:

According to the Associative Property of Addition, when three real numbers are added, it makes no difference which two are added first.

(a + b) + c = a + (b + c)

Therefore, 8 + (2 + 6) = (8 + 2) + 6 is an example of the Associative Property of Addition.

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\( = 49\)

Step-by-step explanation:

\( \sqrt{49} \times \sqrt{49} \)

\( = 49\)

hope it helps

Answer:

\(\sf\longmapsto \: 49\)

Step-by-step explanation:

\(\sf\longmapsto \sqrt{49} \times \sqrt{49} \)

\(\sf\longmapsto \: {49} \)

1.not proportional

2.proportional:

Step-by-step explanation:

the first one has no constant rate meanwhile the second table goes up 14 for every 10 in y

Answer:

24,05r,048

Step-by-step explanation:

i think alls you do is take away the big number from ligtoe number if so ypu would get 24,054,048

Answer:

24,137,569 is 289 times bigger than 83,521

Step-by-step explanation:

24,137,569/83,521= 289

Answer: Let's assume that each van can carry x students and each bus can carry y, students.

The total number of students that can be transported by the vans is 12 times x, and the total number of students that can be transported by the buses is 2 times y. The total number of students that need to be transported is the sum of the number of students that can be transported by the vans and the buses. Therefore, we can write the following equation:

Total number of students = 12x + 2y

In this equation, 12x represents the number of students that can be transported by the vans (since there are 12 vans), and 2y represents the number of students that can be transported by the buses (since there are 2 buses). The sum of these two terms gives us the total number of students that can be transported.

So, the equation that models this situation is:

12x + 2y = Total number of students.

Step-by-step explanation:

The revised value of the sample mean if the data point with an incorrect value of 13 was changed to 15 would be 20.2.

To calculate the revised value of the sample mean, we can use the formula:
Sample Mean = Sum of data points / Number of data points

Given that the original sample mean is 20 and the original data set has 10 data points.
So,Sum of data points = Sample Mean * Number of data points

= 20 * 10= 200

Now, we need to make the correction in the data point that was incorrectly read as 13 but has the actual value of 15. So, the sum of data points would be:
Sum of data points = 200 - 13 + 15= 202

The number of data points would still be 10. So, the revised sample mean would be:
Revised Sample Mean = Sum of data points / Number of data points= 202 / 10= 20.2

Therefore, the revised value of the sample mean is 20.2.

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Answer:

Two additional premium channels were ordered

Step-by-step explanation:

Linear Modeling

It consists of describing a real situation with a mathematical function that corresponds to a straight line.

An example is the described situation where the cable company charges $90 per month for basic cable and $12 for each additional premium cable channel.

The linear model for the charges of the company is:

c(x) = 90 + 12x

Where x is the number of additional premium channels.

Knowing that one month the charge was $114, we can find x:

114 = 90 + 12x

Subtracting 90:

114 - 90 = 12x =24

Dividing by 12:

x = 24/12

x = 2

Two additional premium channels were ordered

Answer: a+b=b+a is a clear example of commutative property.

Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

The given geometric series is convergent. We can see that the common ratio (r) is 1/√3, which has an absolute value less than 1. So, the sum of this convergent geometric series is √3 / (√3 - 1).

The geometric series in question is given by the formula:

Σ (1/√3)^n from n=0 to infinity.

To determine if this geometric series is convergent or divergent, we need to examine the common ratio, which is 1/√3. The geometric series converges if the absolute value of the common ratio is less than 1, i.e., |r| < 1, and diverges otherwise.

In this case, the common ratio r is 1/√3, and its absolute value is also 1/√3 since it's already positive. Since 0 < 1/√3 < 1, the series is convergent.

To find the sum of this convergent geometric series, we can use the formula:

Sum = a / (1 - r),

where a is the first term of the series and r is the common ratio. For this series, a = (1/√3)^0 = 1, and r = 1/√3.

Sum = 1 / (1 - 1/√3) = 1 / ( (√3 - 1) / √3 ) = √3 / (√3 - 1).

So, the sum of this convergent geometric series is √3 / (√3 - 1).

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Answer: I don't understand your question

Step-by-step explanation:

my explanation is at the top

The Markov Chain Model is the best model to predict what activity people will do in two days based on the current weather. It is suitable for predicting outcomes based on probabilities over time, and it considers only the current weather conditions and the probabilities of the different activities.

To predict what activity people will do in two days based on the current weather, I would use a Markov Chain Model. This model is suitable for predicting outcomes based on probabilities over time. In this case, the model would use the current weather (sunny) and the probabilities of the different activities (going for a walk, shopping, or staying home and cleaning) to predict the probability of each activity in two days. The Markov Chain Model assumes that the probability of an activity depends only on the current weather, and not on any previous or future weather conditions.

A Markov Chain Model is the most appropriate model to predict what activity people will do in two days based on the current weather. This model is suitable for predicting outcomes based on probabilities over time, and it would use the current weather (sunny) and the probabilities of the different activities (going for a walk, shopping, or staying home and cleaning) to predict the probability of each activity in two days. The Markov Chain Model assumes that the probability of an activity depends only on the current weather, and not on any previous or future weather conditions.

In conclusion, the Markov Chain Model is the best model to predict what activity people will do in two days based on the current weather. It is suitable for predicting outcomes based on probabilities over time, and it considers only the current weather conditions and the probabilities of the different activities. By using this model, we can make accurate predictions about what people are likely to do in the future, based on the current weather conditions.

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