Solve for x. Look at the image attached thanks.

Answer:

772.8 km

Step-by-step explanation:

Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:

Average speed = Total distance / total time

The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.

Given that average speed is 224 km/h, hence:

Average speed = total distance / total time

224 km/h = total distance / 3.45 h

total distance = 224 * 3.45 = 772.8 km

1540

Step-by-step explanation:

male plus female so ueah

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Answer:7x

Step-by-step explanation:

The mean absolute deviation (MAD) of Robin's scores is 5.2.

To calculate the mean absolute deviation, we need to find the average of the absolute differences between each score and the mean of all the scores.

The given data consists of 5 scores: 99, 108, 102, 107, and 119. The mean of these scores is (99 + 108 + 102 + 107 + 119) / 5 = 107.

Next, we calculate the absolute difference between each score and the mean:

|99 - 107| = 8

|108 - 107| = 1

|102 - 107| = 5

|107 - 107| = 0

|119 - 107| = 12

The sum of these absolute differences is 8 + 1 + 5 + 0 + 12 = 26. To find the mean absolute deviation, we divide this sum by the number of scores, which is 5.

MAD = (8 + 1 + 5 + 0 + 12) / 5 = 26 / 5 ≈ 5.2

Therefore, the mean absolute deviation of Robin's scores is approximately 5.2.

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Answer:

check online for more information

Answer:

See Explanation

Step-by-step explanation:

Given

\(Total = x^2 + 14x + 24\)

\(Area\ I = x^2\)

\(Area\ IV = 24\)

Required

True about area II and III

The question is incomplete; so, I will answer using general knowledge.

If the total area is:

\(Total = x^2 + 14x + 24\)

And there are 4 areas, then;

\(Total = Area\ I + Area\ II + Area\ III + Area\ IV\)

Rewrite as:

\(Total = Area\ I + Area\ IV+ Area\ II + Area\ III\)

This gives:

\(x^2 + 14x + 24 = x^2 + 24+ Area\ II + Area\ III\)

Collect like terms

\(x^2 -x^2 + 14x + 24 -24= Area\ II + Area\ III\)

\(14x = Area\ II + Area\ III\)

Rewrite as:

\(Area\ II + Area\ III = 14x\)

So, the sum of areas III and IV must be 14x

The series converges for x values that satisfy 2 < x < 6. This indicates that the series converges for all x values between 2 and 6, excluding the endpoints.

To determine the values of x for which the series converges, we need to examine the behavior of the series as n approaches infinity. The given series is:

∑ [n=0 to ∞] (x - 4)^n 2^n

This is a geometric series with a common ratio of (x - 4)/2. The series converges if the absolute value of the common ratio is less than 1. So we have:

|(x - 4)/2| < 1

Now, we can solve this inequality to find the values of x that satisfy the convergence condition.

1. When the common ratio is positive:

(x - 4)/2 < 1

x - 4 < 2

x < 6

2. When the common ratio is negative:

-(x - 4)/2 < 1

x - 4 > -2

x > 2

Therefore, the series converges for x values that satisfy 2 < x < 6.

In interval notation, we can express the values of x as (2, 6). This indicates that the series converges for all x values between 2 and 6, excluding the endpoints.

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Answer:

22.33 feet tall / 267.96 inches tall

Step-by-step explanation:

The statue is 36 inches wide. If Chase made his model of the statue 16 inches wide, he decreased it by 20 inches. Now change the inches into feet. 36 inches would be 3 feet, 16 inches would be 1.33 feet and 20 inches would be 1.67 feet. 24ft - 1.67 = 22.33ft. Now change the answers to inches.  22.33ft will be 267.96 inches tall.

Answer:

There could be a total of 63 vehicles, 35 cars and 28 trucks

Answer:

28 trucks

35 cars

63 total cars and trucks

Step-by-step explanation:

trucks : cars

4 : 5

Use a proportion.

x/4 = 35/5

x/4 = 7

x = 28

28 trucks

35 cars

63 total cars and trucks

Answer:

-3>14

Step-by-step explanation:

But it says its false

50,400 different anagrams can be made from the letters in the word statistics.

Given word : STATISTICS

Anagrams are words formed by jumbling the positions of the letters given in the word.

For such problems we do factorial of number of words and divide by the repeated letters factorials.

Total number of letters = 10

They can be permutated among themselves in 10! ways.

Some letters are repeated in word STATISTICS

Since, there are 3 S's and 3 T's and 2 I's

So, Number of anagrams = \(\frac{10!}{3!.3!.2!}\)

= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3! \times 3 \times 2 \times 1 \times 2 \times 1}\)

= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 2}\)

= 10 × 9 × 8 × 7 × 2 × 5

= 50,400

50,400 different anagrams can be made from the letters in the word statistics.

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The mean of this distribution is (a+b)/2 = $500, and the standard deviation is (b-a)/sqrt(12) = $288.68. The probability of winning more than $600 on one spin of the wheel is the area under the uniform distribution curve from $600 to $1000, which is (1000-600)/(1000-0) = 0.4 or 40%.

In a uniform distribution, all possible outcomes have an equal probability of occurring, and the range of values is defined by the minimum value (a) and the maximum value (b). In this case, the range is from $0 to $1000, so a=0 and b=1000.

The mean of a uniform distribution is the average of the minimum and maximum values, which is (a+ b)/2 = $500. The standard deviation of a uniform distribution is calculated using the formula (b-a)/sqrt(12), which gives a value of $288.68 for this distribution.

To find the probability of winning more than $600, we need to calculate the area under the uniform distribution curve from $600 to $1000. Since the total area under the curve is 1, we can calculate the probability by dividing the width of the interval by the total width of the distribution, which is (1000-600)/(1000-0) = 0.4 or 40%.

Therefore, the probability of winning more than $600 on one spin of the wheel is 0.4.

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Answer:

a)  median = 1,148 minutes

b)  IQR = 549.5

Step-by-step explanation:

Q1 = (952 + 866) / 2 = 909

Q3 = (1431 + 1486) / 2 = 1458.5

IQR = 1458.5 - 909.0 = 549.5

5555555555555555555555555555555

Answer:

87 feet

Step-by-step explanation:

Two of the sides here are unknown. The one on the leftmost side is equal to 9, since on the other side it also has a length of 9 feet. The section on the top right has a length of 30-9-9=12 units. Adding all of these values together now, you get a total perimeter of:

30+9+12+9+9+9+9=87 feet

Hope this helps!

Answer:

The perimeter of this shape is 87 ft.

Step-by-step explanation:

Given that all side lengths are added together in order to find perimeter. So the perimeter is :

\(perimeter = 9 + 9 + 9 + 12 + 9 + 30 + 9\)

\(perimeter = 45 + 30 + 12\)

\(perimeter = 87 \: feet\)

The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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Answer:

decreasing

Step-by-step explanation:

Answer:

decreasing.

Step-by-step explanation:

this is bc its negative, therefore its decreasing. heres a picture also (as you can see, the purple line is increasing and the black line is decreasing, so its decreasing)

hope this helped!

Answer:

8 plates

Step-by-step explanation:

The reason for this is because 15 and 9 are both divisible by 3. 15 divided by 3 is 5 and 9 divided by 3 is 3. 5+3= 8. Therefore, you will need 8 plates.

Answer:

Step-by-step explanation:

Candice = 25mph for 4 hours.

Candice has driven= 25 * 4= 100miles.

Liz =50mph

Liz time to catch up to candice= 50 * 2= 100miles.

Therefore, It would have taken Liz two hours to catch up with Candice

Answer:

Final solution is ---> 17

See attached picture for step-by-step explanation

Answer:

17

Step-by-step explanation:

A fraction bar is like parentheses

Complete the  items above and below it first

43-1

------- + 10

4+2

42

----- + 10

6

Then divide

7+10

Then add

17

Answer:Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

6i√5

Step-by-step explanation:

I hope this helps

The given problem is,

→ √(-180)

Simplifying the given problem,

→ √(-180)

→ √(-1) × √(180)

→ i√(180)

→ i√(36) × √(5)

→ i × 6 × √(5)

→ 6i√(5)

Hence, the answer is 6i√(5).

Answer:

Step-by-step explanation:

Given expression

Solving for x

Value of x when p= - 5

Answer:hdhdh

Step-by-step explanation:

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Answer:

w = 0.5

Step-by-step explanation:

w represents the width of the frame

Area of the picture and the frame is

(2 + 2w)2

Area of picture is

22

Area of the frame is

(2 + 2w)2 - 4 = 5

(2 + 2w)2 = 9

2 + 2w = 3

2w = 1

The length of the sides of the frame is 2.5 ft

Area is the term used to define the amount of space taken up by a 2D shape or surface.

Given that, you are making a square frame of uniform width for a square picture that has side lengths of 2 feet, the total area of the frame is 5 square feet.

Since, the width of picture is uniform and is = 2ft

Therefore, width of frame = 2ft

Area of frame = length*width

5 = l*2

l = 5/2 = 2.5ft

Hence, The length of the sides of the frame is 2.5 ft

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Answer:

h>20

Step-by-step explanation:

I'm not sure though

The center of the sphere is (-2, -1, 1), and the radius is 4.
Given that the equation of the sphere is x² + y² + z² - 4x - 2y + 2z = 10.

To find the center and radius of the sphere,

we need to complete the square for the terms with x, y, and z.

So, the given equation can be written as:

(x² - 4x + 4) + (y² - 2y + 1) + (z² + 2z + 1) = 10 + 4 + 1 + 1= 16

Now, the equation becomes (x - 2)² + (y - 1)² + (z + 1)² = 4².

The center of the sphere is (-2, -1, 1), and the radius of the sphere is 4.

Thus, the center at (-2, -1, 1) and the radius √10 is not correct as we found that the radius is 4.

Hence, the center of the sphere is (-2, -1, 1), and the radius is 4.

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The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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