The graph represents the data cost for monthly internet service for a cell phone. Which function, C(x), respresent the monthly cost in dollars in terms of x, the number of gigabytes used in a month?

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:\(S(t)=12-0.75t\)

Step-by-step explanation:

Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours  after the storm ended, after the storm ended, the depth of snow was down to 9 inches.

Snow melted in 4 hours = \(0.75\times4 =3\text{ inches}\)

Initial depth of snow = 9 + 3 inches = 12 inches.

Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)

Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.

Then, \(S(t)=12-0.75t\)

The linear equation that represents the depth of snow on Tristan's lawn, in inches, t hours  after the snow stopped falling is:

\(S(t) = 12 - 0.75t\)

A linear function in the model will have the following format:

\(S(t) = S(0) - mt\)

In which:

The snow melts at a rate of 0.75 inches per hour, thus \(m = 0.75\) and:

\(S(t) = S(0) - 0.75t\)

After 4 hours, there were 9 inches, that is, when \(t = 4, S(t) = 9\), and this is used to find S(0).

\(S(t) = S(0) - 0.75t\)

\(9 = S(0) - 0.75(4)\)

\(S(0) = 9 + 0.75(4)\)

\(S(0) = 12\)

Hence, the equation is:

\(S(t) = 12 - 0.75t\)

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The radix for the number to convert is 16 so it's hexadecimal. There's, I believe a typo as there no "." in base 16. Base 2 is binary and so the answer would be \(1010010111011111\)

The value of the expression (x - 5y) at y = 5 and x = 47 will be 22.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (x - 5y)

The value of the expression at y = 5 and x = 47 will be given as,

⇒ 47 - 5 (5)

⇒ 47 - 25

⇒ 22

The value of the expression (x - 5y) at y = 5 and x = 47 will be 22.

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The complete question is given below.

y = 5 and x = 47. Find the value of the expression (x - 5y).

Answer:

R = 0.8815 ;

y = 6.14679X + 2.33028 ;

14.624

Step-by-step explanation:

Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.

The regression line equation obtained by Plotting the values to generate a linear model is :

y = 6.147X + 2.330

With ;

Slope or gradient being 6.147

Intercept = 2.330

C.)

x = 2

y = 6.147X + 2.330

y = 6.147(2) + 2.330

y = 14.624

The mean is 20 and standard deviation for the number of patients that experience side effects in such groups of 100 is 4.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The number of patients experiencing side effects in a sample of 100 patients as a binomial distribution with n = 100 and p = 0.20.

The mean of a binomial distribution is given by:

μ = np

Substituting n = 100 and p = 0.20, we get:

μ = 100 × 0.20 = 20

Therefore, the mean is 20.

The variance of a binomial distribution is given by:

σ²= np(1 - p)

Substituting n = 100 and p = 0.20, we get:

σ² = 100 × 0.20 × (1 - 0.20) = 16

Therefore, the variance of the number of patients experiencing side effects in a sample of 100 patients is 16.

The standard deviation of a binomial distribution is the square root of its variance:

σ =√Variance

=√16

= 4

Hence, the mean is 20 and standard deviation for the number of patients that experience side effects in such groups of 100 is 4.

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Answer:

ncx(2.718282)=18;c=456

ncx(2.718282)=18;c=456

Answer:

9000

Step-by-step explanation:

Answer:

1/8 or 0.125

Step-by-step explanation:

6/48

Answer:

hmm length x breadth... I'd simple formula

Answer: n=-123

Step-by-step explanation:

Divide -492 by 4 to get n alone

Answer:

Answer:

1st= 4   2nd= 0    3rd= 1.5

Step-by-step explanation:

The speed on the 1st section is 4 km per hour.

The speed on the 2nd section is 0 km per hour

The speed on the 3rd section is 1.5km per hour

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

did you get the answer yet

Answer:

19.2 feet square

Step-by-step explanation:

We khow that the area of an octagon is :

A= 1/2 * h * P where h is the apothem and p the perimeter

Answer:

The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.

CV smokers: 0.387

CV non-smokers: 0.234

Step-by-step explanation:

We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).

Then, first we calculate the mean and standard deviation for the smokers data:

Mean: 43.7

Standard deviation: 286.5

\(M_s=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_s=\dfrac{1}{12}(69.3+56+22.1+47.6+53.2+. . .+13.8)\\\\\\M_s=\dfrac{524.4}{12}\\\\\\M_s=43.7\\\\\\s_s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_s)^2\\\\\\s_s=\dfrac{1}{11}((69.3-43.7)^2+. . . +(13.8-43.7)^2)\\\\\\s_s=\dfrac{3152}{11}\\\\\\s_s=286.5\\\\\\\)

The mean and standard deviation for the non-smokers is:

Mean: 30.3

Standard deviation: 50.9

\(M_n=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_n=\dfrac{1}{15}(28.6+25.1+26.4+34.9+28.8+. . .+13.9)\\\\\\M_n=\dfrac{453.8}{15}\\\\\\M_n=30.3\\\\\\s_n=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_n)^2\\\\\\s_n=\dfrac{1}{14}((28.6-30.3)^2+. . . +(13.9-30.3)^2)\\\\\\s_n=\dfrac{713.3}{14}\\\\\\s_n=50.9\\\\\\\)

Now, we can calculate the coefficient of variation:

CV smokers:

\(CV_s=\dfrac{s_s}{M_s}=\dfrac{16.9}{43.7}=0.387\)

CV non-smokers:

\(CV_n=\dfrac{s_n}{M_n}=\dfrac{7.1}{30.3}=0.234\)

=========================================================

Work Shown:

The green triangle in the back has height 2.6 and an unknown base x. Half of this is x/2, which I'll call y. So y = x/2.

The green triangle in the back is split along the vertical dotted line to get two right triangles. The base of each right triangle is y = x/2.

Use the Pythagorean theorem to find y. Use that to find x

a^2+b^2 = c^2

y^2+(2.6)^2 = (3.2)^2

y^2 + 6.76 = 10.24

y^2 = 10.24 - 6.76

y^2 = 3.48

y = sqrt(3.48) .... apply square root

y = 1.8654758 approximately

x/2 = 1.8654758

x = 2*1.8654758

x = 3.7309516 also approximate

The base of the triangle is roughly 3.7309516 meters

We can now find the area of one green triangle

area of triangle = base*height/2 = 3.7309516*2.6/2 = 4.85023708

two triangles have approximate area 2*(4.85023708) = 9.70047416

----------------------------------

So far we've only considered the triangular faces. There are 3 more faces which are the rectangular sides. These are known as the lateral sides.

One way to get the lateral surface area is to multiply the perimeter of the triangle by the depth of the prism

perimeter of triangle = (side1)+(side2)+(side3)

perimeter = 3.7309516 + 3.2 + 3.2

perimeter = 10.1309516

lateral surface area = (depth)*(perimeter)

lateral surface area = (8.26)*(10.1309516)

lateral surface area = 83.681660216

----------------------------------

The last step is to add this lateral surface area onto the area of the two triangles to get the full surface area

surface area = (triangular area) + (lateral surface area)

surface area = (9.70047416) + (83.681660216)

surface area = 93.382134376

surface area = 93.382 square cm

The required solution for Equation A is x=-1 and y=3.  and solution for Equation B is \($x=12$\) and \($y=-12$\).

An equation is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' symbol.

Equation A can be written as:

\($$x + yi + 4 - 7i = 3 - 4i$$\)

We can simplify this equation by separating the real and imaginary parts:

\($$x + 4 = 3 \quad \Rightarrow \quad x = -1$$\)

\($$y - 7 = -4 \quad \Rightarrow \quad y = 3$$\)

So the solution for Equation A is x=-1 and y=3.

Similarly, for Equation B, we have:

\($$(x+yi) - (-6+14i) = 18+2i$$\)

Again, we can separate the real and imaginary parts:

\($$x + 6 = 18 \quad \Rightarrow \quad x = 12$$\)

\($$y + 14 = 2 \quad \Rightarrow \quad y = -12$$\)

So the solution for Equation B is \($x=12$\) and \($y=-12$\).

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Answer:

quadrilateral

Step-by-step explanation:

A 4-sided polygon is a quadrilateral.

This is a hypothesis test for the population mean.

The claim is that on weekends the average wait time for emergency room visits is more than 11 minutes.

Then, the null and alternative hypothesis are:

The significance level is 0.05.

The sample has a size n=28.

The sample mean is M=12.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.5.

The estimated standard error of the mean is computed using the formula:

Then, we can calculate the t-statistic as:

The degrees of freedom for this sample size are:

This test is a right-tailed test, with 27 degrees of freedom and t=2.117, so the P-value for this test is calculated as (using a t-table):

As the P-value (0.0218) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

Conclusion: at a significance level of 0.05, there is enough evidence to support the claim that, on weekends, the average wait time for emergency room visits is more than 11 minutes.

Answer: 12 units

Step-by-step explanation:

The length of \(\overline{FA}\) is \(3-1=2\). Because the hexagon is regular, all the sides have length 2, making the perimeter \(6 \cdot 2=12\).

Answer:

d. 9x^2 + 25x + 14

Step-by-step explanation:

Formula of area of a rectangle is L * W;

L being length

W being width

x + 2 is our W

9x + 7 is our L, thus;

(x+2)(9x+7)

[9x^2 + 25x + 14]

Answer:

450 cubic cm

Step-by-step explanation:

The formula for volume is length*width*height, so 10*5*9=450

Answer:

Ofcourse yar 4 lines of symmetry

Answer:

9cm

Step-by-step explanation:if im wrong sorry