What is the variance?

12, 13, 15, 16, 24, 15, 22, 10, 9, 13, 13, 18, 16, 25, 23, 24

Round to two decimals

Answer:

the points are very close together

Answer:

Step-by-step explanation:

2.6 plus 1.8 plus 4.2 is 8.6. subtract this from 12 to get your answer of 3.4

If the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Terms are similar, and we can perform arithmetic operations on them like addition and subtraction.

It is obtained from the table that the length of trails A, B, and  C will be 2.6, 1.8, and 4.2 miles.

It is given that the estimated length of all four trails is 12 miles the length of Trail D is obtained by adding all the given lengths of the trails and subtracting it from the total length.

= 2.6 + 1.8, + 4.2 miles.

= 8.6 miles

The length of trail D is,

= 12 miles - 8.6 miles

= 3.4 miles.

Thus, if the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.

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Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

37485947

Step-by-step explanation:

Answer:

I think that the answer is 28827

.............................

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

Total Bill = 4006 dollars

Step-by-step explanation:

A cell phone company charges a flat fee of 20 dollars plus 3 cents a call.

If there was a total of 200 calls for the month, the total charge by the cell phone company will be.

Let me convert all to cent first

100 cent = 1 dollar

20 dollar =20 *100

29 dollar = 2000 cent

Charge by the company for a call is 2003 cent

Let me put down the equation.

1 call = 2003 cent

200 calls =( 200 calls* 2003cent)/1 call

200 calls = 200 * 2003cent

200 calls = 400600 cent

Let's convert back to dollar

100 cent = 1 dollar

400600 cent = 400600/100

400600 cent = 4006 dollars

Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer: Parallelogram JKLM is shown on the coordinate plane below:

Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.

If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?

J′(−2, −6); M′(1, −5)

J′(6, 2); M′(−5, 1)

J′(2, 6); M′(−1, 5)

J′(6, −2); M′(5, 1)

Step-by-step explanation:

The percentage increase China's population from 1970 to 1995 is: 56.25%.

Percentage increase = (Final Value - Original Value)/Original value × 100.

Given the following:

Original value = 0.8 billion

Final Value = 1.25 billion

Final Value - Original Value = 1.25 - 0.8

Final Value - Original Value = 0.45

Percentage increase = 0.45/0.8 × 100 = 56.25%.

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Answer:

The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.

Step-by-step explanation:

Hence,

Answer:

Option 3: -2

Step-by-step explanation:

The slope of the graph is negative, and the only option with a negative term for the slope is -2.

So the slope of the graph is -2.

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Answer:

Step-by-step explanation:

Answer:

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

Vertex form of a quadratic function:

Given (h, k) = (-2, -13) and a point (0, - 5).

Substitute all into equation and solve for a:

The parabola is:

Convert it to the standard form:

Answer:

\(f(x)=2x^2+8x-5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given:

Substitute the given vertex and point into the Vertex formula and solve for a:

\(\implies -5=a(0-(-2))^2+(-13)\)

\(\implies -5=a(0+2)^2-13\)

\(\implies -5=4a-13\)

\(\implies 4a=8\)

\(\implies a=2\)

Substitute the given vertex and found value of a into the Vertex formula:

\(y=2(x+2)^2-13\)

The standard form of a quadratic function is  f(x) = ax² + bx + c

Expand the function in vertex form to standard form:

\(\implies y=2(x^2+4x+4)-13\)

\(\implies y=2x^2+8x+8-13\)

\(\implies y=2x^2+8x-5\)

Answer:

-217 is the answer.

Step-by-step explanation:

negative nineteen is -19

eleven = 11

and from their product we have to subtract 8.

so,

-19×11

= -209

-209-8

= -217.

hope it helps you

plzz plzz plzz mark as brainliest

Answer:

the number is -1

Step-by-step explanation:

Let the number be x. PROOF

11x-8=-19. (11×-1)-8=-19

11x=-19+8

11x=-11

11x/11=11/11

x=1

Step-by-step explanation:

Selling Price (SP) = Rs. 725

profit rate (P%) = 15 %

Now

Cost Price (CP)

\( = \frac{sp \: \times 100}{100 + p\%} \\ = \frac{725 \times 100}{100 + 15} \\ = \frac{72500}{115} \\ = rs \: 630.42\)

Answer:

AC = 4.6

Step-by-step explanation:

since AX and XC are equal amd XC= 2.3

so AC = 2*2.3

Answer:

4.6

Step-by-step explanation:

Answer:

3/4 % of year is 8 , 2 feet 1 inch

Step-by-step explanation:

Given: A surveyor standing 50 feet from the base of a large tree measures the angle of elevation to the top of the tree as 75.8 degrees.

Required: To determine how accurately the angle must be measured if the percent error in estimating the tree's height is less than 5%.

Explanation: To estimate the angle, we will use the trigonometric ratio

where h is the tree's height, and x is the angle of elevation to the top of the tree.

Hence we get

Now differentiating equation 1, we get

We can write the above equation as:

Also, it is given that the error in estimating the tree's height is less than 5%.

So

Also, we need to convert the angle x in radians:

Putting these values in equation (2) gives:

Solving the above equation gives:

Let

Then,

Final Answer:

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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The angle of the T in the ΔRST is 100° and the value of p is 11.

Define Triangle.

A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.

i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.

Given:

∠R = 37°; ∠S = 43°; ∠T = 10p-10°

Let's take ∠T = x

In ΔRST,

∠R + ∠S + ∠T = 180°

37 + 43 + x =  180°

x = 180 - 80 ⇒ 100

∴ ∠T = 100°

To find the value of p,

 ∠T = 100

10p - 10 = 100

10p = 110 ⇒ 11

∴ p = 11

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Answer:

y = -1/3 x + 2

Step-by-step explanation:

I got this from replicating the graph in Desmos. I hope this helps!

Answer:

12.25\(\pi\) sq m

Step-by-step explanation:

if circumference is 7\(\pi\) then the diameter is 7

Area = \(\pi\)r²

A = (3.5)²\(\pi\)

A = 12.25\(\pi\)

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

\(\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}\)

So,

Charlotte's present age \(= 6x = 6(5) = {\boxed{\bf\:30 \:years}\)

Olivia's present age = \(10x = 10(5) = \boxed{\bf\:50 \: years}\)

\(\rule{150pt}{2pt}\)

Answer:

1.58 ish

Step-by-step explanation:

For a logx y = z, x^z = y
So here, log4 9= 1.58 or so
1.5849625007

Answer:

Four and three arithmetic numbers of this equation are then

Step-by-step explanation:

\(x = 3 = x = 4 > - 4 > < - 3 = x = 4\)

And the numbers are equal

\(x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12\)

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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