2/3 = 4/x+3 what is x?

Answer:

In RHS: add 6x and 5x, then Divide both side by 11. The required value of x is 5 which is the answer.

So the order from left to right would be: Mode, Median, Mean.

In a positively skewed distribution, the mean is typically larger than the median, and the median is larger than the mode.

This can be illustrated in the following way:

Mean: The mean is affected by extreme values in the tail of the distribution, and will be pulled in the direction of the skew. Therefore, in a positively skewed distribution, the mean will be to the right of the median.

Median: The median is the value that separates the lower 50% of the data from the upper 50% of the data. In a positively skewed distribution, the tail of the distribution is on the right-hand side, which means that the median will be closer to the left-hand side than the mean.

Mode: The mode is the most frequent value in the distribution. In a positively skewed distribution, the mode will be the smallest value, located at the left-hand side of the distribution, while the mean and median will be to the right of it.

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Answer:

check online for more information

The number of years it will take for the van to be worth less than 50% of its original value can be found by solving the equation V0 = 1.74V(n-1).

To determine the number of years it will take for the van to be worth less than 50% of its original value, we need to consider the annual depreciation rate of 13%.
Let's denote the original value of the van as V0. After the first year, the value of the van will be V1 = V0 - 13% of V0. In general, after each subsequent year, the value of the van can be represented as Vn = V(n-1) - 13% of V(n-1).
To find the number of years it takes for the van to be worth less than 50% of its original value, we need to find the value of n that satisfies the condition Vn < 50% of V0.
Let's solve for n:
Vn = V(n-1) - 13% of V(n-1)
50% of V0 = V(n-1) - 13% of V(n-1)
To simplify the equation, we can convert the percentages to decimals:
0.5V0 = V(n-1) - 0.13V(n-1)
0.5V0 = 0.87V(n-1)
Divide both sides of the equation by V(n-1):
0.5V0 / V(n-1) = 0.87
Simplify the left side:
0.5 / V(n-1) = 0.87 / V0
Multiply both sides by V0:
0.5V0 = 0.87V(n-1)
Divide both sides by 0.5:
V0 = 1.74V(n-1)
Now we have a recursive formula that relates the original value of the van to its value after (n-1) years.
To find the value of n, we need to solve this equation iteratively or use a mathematical software. However, since the question asks for a 200-word answer, we need to keep the explanation concise. Therefore, we cannot provide the exact value of n here.
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Answer:

When cooper was 15 years old, he scored an 85 on an iq test. he took the test again when he was 35 years old and scored an 85 again. this indicates that the iq test is highly: __________

Reliable

Because his scores were so close together the test would be considered as Reliable.

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Answer:

30.67 pounds

Step-by-step explanation:

21.6 pounds + 9.07 pounds = 30.67 pounds

Answer:

h= x/ x+4

Step-by-step explanation:

Move all terms to the left side and set equal to zero, Then set each factor equal to zero.

Asymptotes are lines that a curve approaches but does not intersect. A curve may have vertical, horizontal, or slant asymptotes or none at all. Asymptotes are critical features of the curve since they are used to help graph the function.

We will use the following steps to find asymptotes of the function h(x) = 4 + (5/x):

Vertical Asymptotes:Vertical asymptotes occur when the denominator is equal to zero. So for the function

h(x) = 4 + (5/x), the denominator x cannot be equal to 0.

Therefore x = 0 is the equation of the vertical asymptote.Horizontal Asymptotes:

Horizontal asymptotes occur when the value of y approaches a constant as x becomes extremely large.

For the function h(x) = 4 + (5/x), we need to take the limit as x approaches infinity and as x approaches negative infinity respectively.

(i) As x approaches infinity,y = 4 + 0= 4(ii) As x approaches negative infinity,y = 4 + 0= 4.

Therefore, the equation of the horizontal asymptote is y = 4.

Finally, the vertical asymptote equation is x = 0, and the horizontal asymptote equation is y = 4 for the function h(x) = 4 + (5/x).

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Answer:

384.8 cubic inches.

Step-by-step explanation:

Given:

5, 12, 8, 19, 12, 12

Aim:

We need to find the range of days taken for medical leave for each month.

Explanation:

Rewrite the given data in terms from least to great values

5,8,12,12,12,19

The smallest value is 5.

The highest value is 19.

Recall that the range is the difference between the highest and lowest values in the set.

Final answer:

The range of days taken for medical leave for each month is 14 days.



Answer:

x = 3 and y = 5

Step-by-step explanation:

y = x+2

3x+2(x+2)=19

3x+2x+4=19

5x+4=19

    -4   -4

5x=15

x=3

y=x+2

y=(3)+2

y=5

Answer:

x=3 and y=5

Step-by-step explanation:

Answer: 1. 64 | 2. 32

Step-by-step explanation:

Formula for a rectangle is Area = Length*Width

Therefore: 8*8 = 64

Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width

Therefore: 1/2*8*8 = 32

Hope this helps :)

Answer:

they skided 242 feet

Step-by-step explanation:

Answer:

20x20)(20)20000)$yes

Answer:

I believe it would be inches.

Step-by-step explanation:

When companies are describing screen size, they always measure from one corner to the other and use inches.

The slope intercept form of the equation of the line graphed on the coordinate plane below will be y=-3x -1.

As we know, The slope intercept form of a straight line is y=mx + c, where m is the gradient which is the Tanθ where θ is the angle between the line and the x-axis. And C is the interception point on the y-axis.

To find the gradient, we can calculate Δy/Δx. From the graph given we can take two points on the line with the coordinates (1,-4) and (0,-1). From this, we can calculate the gradient :

⇒\(\frac{(y2-y1)}{(x2-x1)}\)

⇒\(\frac{(-1)-(-4)}{0-(1)}\)

⇒-3

And , from the figure we can see the line is intersecting the y-axis -at -1.

So, putting the values in y=mx+c will give us y=-3x -1

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Answer:352

Step-by-step explanation:

291-115=177

177+86=263

263-91=352

Answer:

Step-by-step explanation:

if the bicyclist travels 62 miles in 2 h, he travels 62/2=31 miles per hour

y=nr miles

y=31x

choice C

Answer:

C

Step-by-step explanation:

Divide 62 by 2 to get the unit rate (31 miles per hour)

62/2= 31

X is used to show the number of hours. We are trying to determine the number of miles the biker will travel in x hours. So we would need to multiply 31 and "X" or we could write it as "31x"

Hope this helps!

The program provided sets up output destination options and then executes a PROC PRINT statement to display the data from the "orion.test" dataset. However, without running the program, I can still provide an explanation based on the code.

In the code, the ODS (Output Delivery System) statements are used to control the output format and destination. The first line, "ods all close;", closes all open ODS destinations. The second line, "ods html file='c:\test.html' style=meadow;", directs the output to an HTML file named "test.html" located at "c:\test.html" with a specific style called "meadow". The next line, "ods html close;", closes the HTML output destination.

Following that, the "ods listing;" statement directs the output to the default output destination, which is typically the SAS log or output window. Then, the PROC PRINT statement is used to print the data from the "orion.test" dataset.

Considering the output destinations set up in the program, the output will be available in three different places. First, it will be saved as an HTML file named "test.html" at "c:\test.html". Second, if you have the SAS output window or log open, you will be able to see the output there as well. Finally, the output will also be available as a CSV file since the "ods csvall;" statement directs the output to be generated in CSV format.

In summary, the program generates output in three locations: an HTML file, the SAS output window or log, and a CSV file. These destinations allow for different ways to access and review the output data.

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Answer:

0.8^4

Step-by-step explanation:

Write the expression using exponents.

\(0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }\)

Since, the expression is actually the repetition of 0.8, so we can write this as,

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

Calculating further, We get,

⇒ ( 0.8 )⁴ = \( \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} \)

⇒ ( 0.8 )⁴ = \( \frac{4096}{10000} \)

Calculating further, We get,

⇒ ( 0.8 )⁴ = 0.4096

∴ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

Answer:

-26

Step-by-step explanation:

\(\frac{5}{6}( \frac{1}{2}x+5) - 3x\)

=  \(\frac{5}{6}( \frac{1}{2}*12+5) - (3*12)\\\)

= -26

Answer:

2 3/5

Step-by-step explanation:

Simply change the 1st fraction into improper form:

17/5 - 4/5

Then subtract

13/5

Then write into mixed fraction

2 3/5

Answer:

13/5 or 2 3/5

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

|a+b|=|a|+|b|

=> a + b = a + b ✔

Therefore, this is true (Unsure).

Hoped this helped.

the probability that the sample mean breaking strength for a random sample of 40 rivets is between 10,000 and 10,300 P(10000 ≤ x ≤ 10300) = 0.54

We would assume a normal distribution for the breaking strength of a rivet. We would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ/√n

Where

n = number of samples

x = Breaking strengths of rivet.

µ = mean breaking strength

σ = standard deviation

From the information given,

µ = 10,100 psi

σ = 499 psi

n = 40

The probability that the sample mean breaking strength for a random sample of 40 rivets is between 10000 and 10,300 is expressed as

P(10000 ≤ x ≤ 10300)

For x = 10000,

z = (10000 - 10100)/499/√40 = - 0.13

Looking at the normal distribution table, the probability corresponding to the z score is 0.45

For x = 10300,

z = (10300 - 10100)/499/√40 = 2.54

Looking at the normal distribution table, the probability corresponding to the z score is 0.99

Therefore,

P(10000 ≤ x ≤ 10300) = 0.99 - 0.45 = 0.54

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Area of triangle PQR = 48 cm², thus angle QPR ​= 43.31°

The amount of space occupied by a flat (2-D) surface or an object's form is known as its area. A planar figure's area is the area that its perimeter encloses. The quantity of unit squares that completely encircle the surface of a closed figure is its area. Square measurements for area include cm² and m².

A shape's perimeter is the space surrounding it. The interior volume of a form is measured by area.

As we know,

area of a triangle = 1/2 × a × b × sinθ

here, area = 48 cm²

side lengths of two triangle are:

a = 10

b = 14

now, putting the value:

area of a triangle = 1/2 × a × b × sinθ

48 = 1/2× 10 × 14 × sinθ

or, 90 = 140 × sinθ

or, sinθ = 90/140

or, sinθ = 0.686

or, θ = sin⁻¹(0.686)

or, θ = 43.31°

So, angle QPR ​= 43.31°

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After considering the given data we conclude that the generated two year discount factor is 0.9132, under the condition that three year annuity factor is 2.6065.

Applying the formula for the annuity factor, we can find the two year discount factor:
\(annuity factor = (1 - discount factor^n) / r\)
Here,
n = number of years
r = annual interest rate.
We are given that the three year discount factor is 0.7773 and the one year discount factor is 0.9434. We are also given that the three year annuity factor is 2.6065.
Applying the formula for the annuity factor, we can evaluate the annual interest rate:
\(2.6065 = (1 - 0.7773^3) / r\)
r = 0.1
Now, we can evaluate the two year discount factor:
\(annuity factor = (1 - discount factor^2) / 0.1\)
\(2.6065 = (1 - discount factor^2) / 0.1\)
\(discount factor^2 = 0.89335\)
discount factor = \(\sqrt(0.89335)\)
discount factor = 0.9132
Therefore, the two year discount factor is 0.9132.
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The given inequality is

The given coordinates are (7,4), (3.8, 4) and (0,9).

Let's evaluate each coordinated pair in the inequality to see which one satisfies it.

For (7,4).

Since 3 is not more than 8, we say (7,4) is not a solution.

For (3.8, 4).

Since -0.2 is not more than 8, we say (3.8, 4) is not a solution.

For (0,9).

Since -9 is not more than 8, we say (0,9) is not a solution.

Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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