Find the standard deviation set below.Round to nearest tenth. 7,1,3,4,7

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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The average of five numbers is 15 . four of the numbers are 11,18,17, and 14 . The sum of the five numbers is 75.

Given data,

The amount that you get when you add two or more numbers together.

The average of five numbers is 15.

Four of the numbers are 11, 18, 17, and 14.

We have to find the sum of the five numbers.

Let the fifth number be x.

Then, the sum of the five numbers is:

11 + 18 + 17 + 14 + x = 60 + x

But, the average of the five numbers is 15:

Average = Sum of the numbers / Number of the numbers

Sum of the numbers = Average × Number of the numbers

Sum of the five numbers = 15 × 5

                                         = 75

Therefore, the sum of the five numbers is 75.

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The range at which Dan's car can go is 3.33 miles

A car's range is the distance it can travel with the current amount of fuel in the tank.

The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.

The range of a car can be measured in the unit of distance.

Therefore the range of a car can be calculated as;

R = distance per gallon/ number of gallon.

Dan's car is 40mpg and has 12 gallons in it's tank.

Therefore it's range = 40/12

= 3.33miles.

therefore the range of Dan's car is 3.33miles

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Answer: yes  9/30 is a  terminating decimal.

Answer:

4

Step-by-step explanation:

this line is congruent to EC on the base

Answer: use the radious

Step-by-step explanation:

Answer:

333  cubic meters of water are used each day by one person

Step-by-step explanation:

The outward flux is 81, and the counterclockwise circulation is 54.

To apply Green's theorem, we need to find the curl of the vector field:

curl(f) = (∂f_y/∂x - ∂f_x/∂y) = (8y - (-6x))i + ((-6x) - 8y)j = (8y + 6x)i - (8y + 6x)j = (8y + 6x)(i - j)

Now, we can use Green's theorem, which states that the counterclockwise circulation of a vector field around a closed curve C is equal to the outward flux of the curl of the vector field through the region enclosed by C. In this case, the curve C is a triangle bounded by y = 0, x = 3, and y = x.

The counterclockwise circulation of the vector field around C is:

∫_C f · dr = ∫_C (4\(y^{2}\) - 3\(x^{2}\))dx + (3\(x^{2}\) - 4\(y^{2}\))dy

We can break this into three line integrals, corresponding to the three sides of the triangle:

∫_L1 f · dr =    \(\int\limits^3_0 {(4y^{2}-3x^{2})} \, dx\)   = 36

∫_L2 f · dr = \(\int\limits^3_0 {(3x^{2}-4x^{2})} \, dy\) = -9

∫_L3 f · dr = \(\int\limits^3_0 {(4y^{2}-3y^{2})} \, dx\) = 27

The total circulation is the sum of these three line integrals:

∫_C f · dr = 36 - 9 + 27 = 54

To find the outward flux of the curl of f through the region enclosed by C, we need to find the area of the triangle. The base of the triangle is 3, and the height is also 3, since y = x along the slanted side. Therefore, the area is (1/2)(3)(3) = 4.5.

The outward flux of the curl of f through the region enclosed by C is:

∫∫_R curl(f) · dA = ∫∫_R (8y + 6x)dA

where R is the region enclosed by C. We can integrate this over the triangular region R by breaking it into two integrals:

∫∫_R curl(f) · dA = ∫_0^3 ∫_0^x (8y + 6x)dydx + ∫_3^0 ∫_0^(3-x) (8y + 6x)dydx

= 81

As a result, the anticlockwise circulation is 54 and the outward flux is 81.

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The total price of the phone including the tax is $35.97.

The percentage is calculated by dividing the required value by the total

value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the phone = $33

Tax = 9%

The total price of the phone.

= 33 + 9% of 33

= 33 + 9/100 x 33

= 33 + 2.97

= $35.97

Thus,

The total price of the phone is $35.97.

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Answer:

ay+2a=b

a(y+2)=b (taking a common)

or,a=b/y+2

The required diameter of the can is approximately 1.4 inches.

The formula for the volume of a cylinder to set up an equation relating the diameter and height of the Can to its volume:

V = πr²h

The volume of the Can is 8 in.³, so we can substitute V equal to 8 into the equation:

8 = πr²h

We are also given that the height of the can is 5 and 1/4 inches or 5.25 inches. We can replace this value with the equation:

8 = πr²(5.25)

Simplifying, we can solve for r:

r² = 8 / (π(5.25))

r² ≈ 0.485

r ≈ 0.69

The diameter of the can is twice the radius, so we can calculate it as:

d ≈ 2(0.69)

d ≈ 1.4 inches

Rounding to the nearest tenth, we get:

d ≈ 1.4 inches

Therefore, the diameter of the can is approximately 1.4 inches.

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y'(t) = -6093c2e^(3t) + 6c2t, Where c1 and c2 are constants determined by the initial conditions.

To write the system '=+ 4y y = 23 - y in the form x' = Ar, we first define x as a column vector with x = [x1, x2] = [y, y']. Then, we can rewrite the system as:

x' = [y', y''] = [4y-y^2+23, -4y+y^2]

Next, we can find the matrix A by taking the partial derivatives of the right-hand side of the system with respect to x1 and x2:

A = [∂f1/∂x1, ∂f1/∂x2; ∂f2/∂x1, ∂f2/∂x2] = [4-2y, 1; -4+2y, 0]

Evaluating A at the equilibrium point (y, y') = (2, 0), we get:

A = [0, 1; -4, 0]

To verify that I1 and 22 are solutions, we simply plug them into the system and see if they satisfy it:

For I1 = [2, 0], we have:

I1' = [0, 0] = A*I1 = [0, 1; -4, 0] * [2, 0]

I1 satisfies the system.

For I2 = [2031e^(3t) - 3t, -6093e^(3t) + 6t], we have:

I2' = [6093e^(3t) - 6, -18279e^(3t) + 6] = A*I2 = [4-2y, 1; -4+2y, 0] * [2031e^(3t) - 3t, -6093e^(3t) + 6t]

Substituting y = 2031e^(3t) - 3t into the expressions for f1 and f2, we can verify that I2 satisfies the system.

Now that we have verified that I1 and I2 are solutions, we can use them to find the general solution. The general solution will be a linear combination of these two solutions, so we can write:

x(t) = c1*I1 + c2*I2

where c1 and c2 are constants to be determined by initial conditions. Substituting in the expressions for I1 and I2, we have:

x(t) = c1*[2, 0] + c2*[2031e^(3t) - 3t, -6093e^(3t) + 6t]

Expanding this expression, we get:

x(t) = [2c1 + 2031c2e^(3t) - 3c2t, -6093c2e^(3t) + 6c2t]

Therefore, the general solution for y(t) is:

y(t) = 2c1 + 2031c2e^(3t) - 3c2t

And the general solution for y'(t) is:

y'(t) = -6093c2e^(3t) + 6c2t

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Answer:

Quedan 3 libras de azúcar en el costal.

Step-by-step explanation:

Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:

\(x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}\)

\(x = 25\,lb\)

Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:

\(x = 28\,lb-25\,lb\)

\(x = 3\,lb\)

Quedan 3 libras de azúcar en el costal.

The total amount of sugar left in the sack is 3 pounds.

Using the conversion:

1 kg = 2lb

2.5kg =5lb

Amount of sugar left in the sack = Total  - amount sold

Amount of sugar left in the sack = 28lb - 25lb

Amount of sugar left in the sack = 3lb

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do what you want ok and choose

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

Answer:

The second choice is correct

Step-by-step explanation:

Here, we want to get the correct statement

As can be seen, while 2 is the angle at the circumference, 1 is the angle at the center

Mathematically, we know that angle at the center is two times the angle at the circumference

Thus,

m1 = 1/2 (m2)

or m2 = 2 * m1

Answer:

36

Step-by-step explanation:

The formula of LCM is LCM(a,b) = ( a × b) / GCF (a,b)

The Greatest Common Factor of (9,12) = 3

Therefore

LCM of 9 and 12 = (9 × 12) / 3

= 108/3 = 36

LCM of 9 and 12 = 36

Irrespective of the method, the solution to our question LCM of 9 and 12 is the same.

Therefore, LCM of 9 and 12 is 36

Answer:

351.48cm²

Step-by-step explanation:

Heron’s Formula

Find half the perimeter (30+30+26)/2=43

It’s the square root of each side subtracted from 43, multiplied together, times 43.

√(43-30)*(43-30)*(43-26)*43=√13*13*17*43=√=123539=351.481cm²

Area of triangle is, 351. 39 cm²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

All the sides of triangles are,

⇒ 30 cm, 30 cm, and 26 cm

We know that;

⇒ Area of triangle = √ s (s - a) (s - b) (s - c)

Where, 's' is the semi perimeter of the triangle, and a, b and c are three sides of triangle.

Here, Sides are,

⇒ a = 30

⇒ b = 30

⇒ c = 26

Hence, We get;

⇒ s = (a + b + c) / 2

⇒ s = (30 + 30 + 26) / 2

⇒ s = 86 / 2

⇒ s = 43 cm

So, The area of triangle is,

⇒ Area of triangle = √ s (s - a) (s - b) (s - c)

⇒ Area of triangle = √ 43 (43 - 30) (43 - 30) (43 - 26)

⇒ Area of triangle = √ 43 × 13 × 13 × 17

⇒ Area of triangle = 13 √ 731

⇒ Area of triangle = 13 × 27.03

⇒ Area of triangle = 351. 39 cm²

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What is percentage change?

By quantifying the difference between two numbers and expressing it as an increase or decrease, the Percentage Change Calculator (percent change calculator) may determine the percentage change.

The initial price \(V_{1}\) (100%) was decreased by 10%., then this reduced price is reduced more by 20% that becomes the final price \(V_{2}\) which is 72.

Calculate percentage change from \($V_{1}=100$\) to \($V_{2}=72$\).

=\(& \frac{\left(V_{2}-V_{1}\right)}{\left|V_{1}\right|} \times 100 \\\)

\(=& \frac{(72-100)}{|100|} \times 100 \\\)

\(=& \frac{-28}{100} \times 100 \\\)

\(=&-0.28 \times 100 \\\)

\(=&-28 \% \text { change } \\\)

\(=& 28 \% \text { decrease }\)

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Answer:

y+9=6(x-4)

Step-by-step explanation:

Ok what you do is you use the -9 which is the y and since it is negative the sign in between the y and the 9 is +. The slope is 6 so you put that there and the x=4 so you make the sign inbetween -. Do you have anymore question? Let me know in the comments. Brainliest pls.

The coefficient of correlation can be determined using the coefficient of determination, which is given as the square of the correlation coefficient. In this case, the coefficient of determination is 0.81, indicating that 81% of the variability in the dependent variable (y) can be explained by the independent variable (x).

To find the coefficient of correlation, we take the square root of the coefficient of determination. Taking the square root of 0.81 gives us 0.9. However, the coefficient of correlation can be positive or negative, depending on the direction of the relationship between the variables.

Looking at the given regression line y^= -2.88 + 1.77x, the positive slope of 1.77 indicates a positive relationship between x and y. Therefore, the coefficient of correlation would also be positive.

Hence, the answer is (c) +0.90, indicating a positive correlation between the variables.

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Answer:5/8

Step-by-step explanation:

Lowest common denominator is 24

15/24 > 8/24

5/8>1/3

Based on the properties of a parallelogram, m∠N = 68°.

Thus:

4x + 36 = 6x - 2

Add like terms

4x - 6x = -36 - 2

-2x = -38

x = 19

m∠M = 6x - 2

Plug in the value of x

m∠M = 6(19) - 2

m∠M = 112°

m∠N = 180 - 112

m∠N = 68°

Therefore, based on the properties of a parallelogram, m∠N = 68°.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

$37.50

Step-by-step explanation:

She earns 2.50 an hour, so on the 15th hour (2.50*15) she would earn $37.50

Answer:

The slope-intercept is \(y = 2x -2\) .

Step-by-step explanation:

-First, you need to find the slope by using the slope formula:

\(m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

-Second, use both points (6, 10) and (1, 0) for the formula:

\(m =\frac{0-10}{1-6}\)

-Third, you solve:

\(m =\frac{0-10}{1-6}\)

\(m = 2\)

-Fourth, after you found the slope, you need to use the Point-slope form equation:

\(y - y_{1} = m (x -x_{1})\)  (where \(m\) represents the slope, and \((x_{1},y_{1})\) represents the first coordinate or the first point).

-Fifth, use the slope 2 and the first point (6, 10) for the Point-slope form equation:

\(y - 10= 2 (x -6)\)

-Sixth, you solve the equation to get the slope-intercept form:

\(y - 10= 2 (x -6)\)

\(y -10 = 2x -12\)

\(y -10 +10 = 2x -12 +10\)

\(y = 2x -2\)

So, therefore, the slope-intercept is \(y = 2x -2\) .

Answer:

y= 260/33 - 16x/33

x= 65/4 - 33y/16

Step-by-step explanation:

hope this helps ;')