Who Am I?

t = 2 x h
t=6
The sum of my digits is equal to fourteen.

The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Given the system of equations:

From equation (1), y = 4x

Substitute with y in the equation (2), then solve for x

So, y = 4x = 4 * 1/3 = 4/3

So, the answer will be option B) x = 1/3 , y = 4/3

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

The range of the function f(x) :  is y > 0.

The correct option is (A)

Step-by-step explanation:

The definition of range is the set of all possible values that the function will give when we give in the domain as input.

Given function is :

If we draw the graph for this, then we can see that the horizontal asymptote is 0.

So,  the range is real numbers higher than 0.

Hence, the range should be y > 0.

Answer:

C

Step-by-step explanation:

Answer:

y = -x^2 +2

Step-by-step explanation:

? means like add something in. Like ^2 is what I added in.

https://brainly.com/question/20359398. This is what I learned after this chapter. (Concept.) You can learn about it and get ahead if they'll learn this.

Answer:

Do 2000 x 8

Step-by-step explanation:

16,0000

Answer:

$1120

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

84 sq meters

Step-by-step explanation:

First, divide the shape in 2 or more parts so that you can find it step by step

Divide this shape in three parts:

One part (blue): 2 m and 3 m rectangle

Second part (orange): 5 m and 12 m rectangle

Third part (red): 6 m and 3 m rectangle

(you can also see this below: in the pic there are three parts so you figure out that which is the correct value for the sides)

Now, find area of each shape by multiplying its values:

1st shape: 3 x 2 = 6

2nd shape: 5 x 12 = 60

3rd shape: 6 x 3 = 18

As you have the area of all the different shapes,

add all of them:

6 + 60 + 18 = 84 sq meters

I hope this helps :)

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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Answer:

It is not a integer, it is a rational number

Answer: No, this isn't. An integer is any whole number, positive or negative. Having extraneous digits to the right of the decimal other than zero, radicals or any fractions are excluded from being considered an integer. Integers, for example, are 2, 85, -923, etc. Hope this helps!

Step-by-step explanation:

Answer:

measure of exterior angle  at  C = 160°

Step-by-step explanation:

An exterior angle of a triangle equals the sum of the two remote interior angles

A and B are the remote interior angles.  So,

m∠A + m∠B = measure of exterior angle  at  C

5x - 10 + 12x = 16x

17x - 10 = 16x

x = 10

measure of exterior angle  at  C = 16x = 16(10) = 160°

Answer:

7

Step-by-step explanation:

Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:

1/2=2x-6/16

Then:

4x-12=16

4x=28

x=7 ........................

Answer:

200 kilometers

Step-by-step explanation:

10% is the same thing as 1/10 and 2000x1/10 is 200

Answer: The answer to this question is 2x(2x+3)(2x-5)

Step-by-step explanation:

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer:

Step-by-step explanation:

This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.

36 liters.

36 km/3 Liters = x / 36             multiply both sides by 36

36*36 / 3 =  x

1296/3 = x

x = 432 km

So on 36 L he can go 432 km

3 liters

Given as 36 km

48 liters

36km/3 liters = x / 48 liters         Multiply both sides by 48

48*36/3 = x

576 km = x

So on 48 liters, he can go 576 km

132 liters

36 km/ 3 liters = x/132

x = 1564 km

On 132 liters Pat can go 1564 km

Answer:

4 miles in 1 min

Step-by-step explanation:

Answer:

C) When two fractions have equal denominators, the fraction with the greater numerator is the greater fraction.

Step-by-step explanation:

When comparing fractions, you do not use the denominator to compare. You use the numerator. Whichever fraction has the largest numerator, when the denominators are equal, is the greater fraction. When the fractions have unequal denominators, you find the least common denominator between them and then compare the numerators. Whichever one has the bigger numerator is the greater fraction.

Thus, the best answer is C.

hope this helps!

Answer:

The answer is C.

Step-by-step explanation:

Answer:

\( - 12 + 7 = - 5\)

I hope I helped you^_^

The mean of the number of hours of sleep for this sample is 7.4, the standard deviation is 1.759186 and the variance is. 3.0947.

Standard deviation, denoted by the symbol σ, describes the square root of the mean of the squares of all the values of a series derived from the arithmetic mean which is also called the root-mean-square deviation. 0 is the smallest value of standard deviation since it cannot be negative. When the elements in a series are more isolated from the mean, then the standard deviation is also large

Mean \(& =\frac{\text { Sum of all data }}{\text { Total number data }} \\\)

\(& =\frac{6+5+10+5+6+9+9+5+9+5+8+7+8+6+9+8+9+6+10+8}{20} \\& =\frac{148}{20} \\\end{aligned}$$\)

= 7.4

Thus, the mean of the number of hours of sleep for the above sample is 7.4.

To find: the variance and standard deviation for the above sample.

Standard Deviation=\(\sqrt{\frac{\sum f_i\left(x_i-\mu\right)^2}{n-1}} \\\)

\(& \sigma \quad=\sqrt{\left\{\begin{array}{l}(6-7.4)^2+(5-7.4)^2+(10-7.4)^2+(5-7.4)^2+(6-7.4)^2 \\+(9-7.4)^2+(9-7.4)^2+(5-7.4)^2+(9-7.4)^2+(5-7.4)^2 \\+(8-7.4)^2+(7-7.4)^2+(8-7.4)^2+(6-7.4)^2+(9-7.4)^2 \\+(8-7.4)^2+(9-7.4)^2+(6-7.4)^2+(10-7.4)^2+(8-7.4)^2\end{array}\right\}} \\)

\(& \sigma=\sqrt{\frac{\left\{4(6-7.4)^2+4(5-7.4)^2+2(10-7.4)^2+5(9-7.4)^2+4(8-7.4)^2+(7-7.4)^2\right\}}{19}} \\& \sigma=\sqrt{\frac{\left\{4(-1.4)^2+4(-2.4)^2+2(2.6)^2+5(1.6)^2+4(0.6)^2+(-0.4)^2\right\}}{19}} \\& \sigma=\sqrt{\frac{58.8}{19}} \\& \sigma=\sqrt{3.0947} \\\)

\(& \sigma \quad=1.759186 \\\)

Variance = 3.0947

Therefore, the mean of the number of hours of sleep for this sample is 7.4, the standard deviation is 1.759186 and the variance is. 3.0947.

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Answer:

HG = EF

GF = HE

Step-by-step explanation:

Answer:

f(5) = 22

Step-by-step explanation:

When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.

f(x) = 5x - 3

f(5) = 5(5) - 3

5 * 5 = 25

25 - 3 = 22

f(5) = 22

I hope this helps you!

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

The answer is "14.2 cm"

Step-by-step explanation:

In the given question an attachment file is missing, by searching the question we find the solution, and we calculates the given value it will give the length of LMN, that is "14.2".

That's why its final answer is "14.2 cm".  

Answer:

he answer is "14.2 cm"

Step-by-step explanation:

got it right on edg

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

\( \frac{dy}{dx} = - \frac{ {x}^{3} }{ {y}^{3} } \)

Step-by-step explanation:

Differentiate both sides of the equation (consider y as a function of x).

\( \frac{d}{dx} ( {x}^{4} + {y}^{4} (x)) = \frac{d}{dx} (16)\)

the derivative of a sum/difference is the sum/difference of derivatives.

\(( \frac{d}{dx} ( {x}^{4} + {y}^{4} (x))\)

\( = ( \frac{d}{dx} ( {x}^{4} ) + \frac{d}{dx} ( {y}^{4} (x)))\)

the function of y^4(x) is the composition of f(g(x)) of the two functions.

the chain rule:

\( \frac{d}{dx} (f(g(x))) = \frac{d}{du} (f(u)) \frac{d}{dx} (g(x))\)

\( = ( \frac{d}{du} ( {u}^{4} ) \frac{d}{dx} (y(x))) + \frac{d}{dx} ( {x}^{4} )\)

apply the power rule:

\((4 {u}^{3} ) \frac{d}{dx} (y(x)) + \frac{d}{dx} ( {x}^{4} )\)

return to the old variable:

\(4(y(x) {)}^{3} \frac{d}{dx} (y(x)) + \frac{d}{dx} ( {x}^{4} )\)

apply the power rule once again:

\(4 {y}^{3} (x) \frac{d}{dx} (y(x)) + (4 {x}^{3} )\)

simplify:

\(4 {x}^{3} + 4 {y}^{3} (x) \frac{d}{dx} (y(x))\)

\( = 4( {x}^{3} + {y}^{3} (x) \frac{d}{dx} (y(x)))\)

\( = \frac{d}{dx} ( {x}^{4} + {y}^{4} ))\)

\( = 4( {x}^{3} + {y}^{3} (x) \frac{d}{dx}(y(x))) \)

differentiate the equation:

\(( \frac{d}{dx} (16)) = (0)\)

\( = \frac{d}{dx} (16) = 0\)

derivative:

\(4 {x}^{3} + 4 {y}^{3} \frac{dy}{dx} = 0\)

\( \frac{dy}{dx} = - \frac{ {x}^{3} }{ {y}^{3} } \)

Given:

The surface area of the sphere is

Required:

To find the volume of the sphere.

Explanation:

The formula of surface area of the sphere is

Now the volume of the sphere is

Final Answer:

The volume of the sphere is

The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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Answer:4,67

Step-by-step explanation: