Find the volume of a cube that has a total surface area of 54 square millimeters.

The value of the correlation coefficient is 0.9866.

By the end of 2014, the number of movie tickets sold would be equal to 1,600,000,000 movie tickets.

In order to determine value of the correlation coefficient and line of best fit that models the data points contained in the table, we would use a graphing calculator (scatterplot).

In this scenario, the year would be plotted on the x-axis of the scatterplot while the number of tickets sold (in millions) would be plotted on the y-axis of the scatterplot.

On the Excel worksheet, you should right click on any data point on the scatterplot, select format trend line, and then tick the box to display an equation and correlation coefficient for the trend line (line of best fit) on the scatterplot.

From the scatterplot (see attachment) which models the relationship between the data points in the table, a linear equation for the line of best fit (trend line) is given by:

y = 20.012x - 38704

Correlation coefficient, R² = 0.9757.

By the end of 2014, the number of movie tickets sold is given by:

y = 20.012x - 38704

y = 20.012(2014) - 38704

y = 40,304.168 - 38704

y = 1,600.168 × 1,000,000 ≈ 1,600,000,000 movie tickets.

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Answer:

\/226 is te exact form

Step-by-step

/(x2-x1)^2 +(y2-y1)^2

/((-8)-7)^2 + ((-5)-(-4))^2

/226

Decimal form is 15.03329637

So 15.03

The expression is simplified to 5/2b - 1. Option A

Algebraic expressions are expressions that comprise of variables, terms, coefficients, constants and factors.

They may also contain arithmetic operations such as addition, subtraction, multiplication, division, bracket, etc.

Given the expression;

-1/2(b+2)+3b

expand the bracket

-b - 2/2 + 3b

Find the lowest common multiple

-b - 2 + 6b /2

Add the like terms

5b - 2/2

5b/2 - 2/2

5/2b - 1

Thus, the expression is simplified to 5/2b - 1. Option A

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Answer:

1.15W

2.x+y

3.20-c

4.20r

5.2.89m

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) To find the mean and standard deviation of the number of citizens favoring building a police substation, we can use the binomial distribution. Given that 80% of the community favors the substation, the probability of an individual favoring it is 0.8. Since there are 15 citizens chosen, the mean is given by the formula μ = n * p, where n is the number of trials (15) and p is the probability of success (0.8). Thus, the mean is 15 * 0.8 = 12. The standard deviation is calculated using the formula σ = √(n * p * (1 - p)), which yields √(15 * 0.8 * 0.2) ≈ 1.94.

b) To find the probability that 10 citizens out of 15 favor the substation, we use the binomial distribution formula. P(X = 10) = C(15, 10) * (0.8^10) * (0.2^5) ≈ 0.206

c) To find the probability that at least 12 citizens out of 15 favor building a police substation, we need to calculate the sum of probabilities for X ≥ 12. This can be done by finding the individual probabilities for X = 12, X = 13, X = 14, and X = 15, and then summing them. P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15). Calculating these probabilities using the binomial distribution formula, we get P(X ≥ 12) ≈ 0.878

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Answer:

64 sq cm

Step-by-step explanation:

square area formula is length times width, so we multiply 4 x 4

4x4 = 16 square cm

triangle area formula is base x height x 1/2 (divide by two)

4 x 6 = 24 x 1/2 = 12

multiply 12 by four to account for all triangles

12 x 4 = 48

add both areas

16 + 48 = 64

The surface area of this net is 64 sq cm.

Answer:

$0.99

Step-by-step explanation:

15x0.066=0.99

Answer:

1000 :)

Step-by-step explanation:

We need to subtract to solve!!

54735 - 53000 = 1735

1735 - 735 = 1000

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

Function I think?

Step-by-step explanation:

Answer:

Slope = 4

Step-by-step explanation:

Consider two set of point through which the line passes.

Let it be ( 0, 4 ) and ( -1 , 0)

Find slope .

\(Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )\)

\(Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4\)

Answer:

Yes it can be be the reflected figure

Answer:

196 degrees, reflex.

Step-by-step explanation:

The angles fit around a point, therefore, they add up to 360 degrees.
Let \(x\) be the size of the third angle.

\(x + 113 + 51 = 360 \\x + 164 = 360 \text{ / Subtract 164 on both sides} \\x + 164 - 164 = 360 - 164} \\x = 196\)

The angle is larger than 180 degrees and smaller than 360 degrees, therefore, its a reflex angle.

Answer:

196 degrees, reflex.

Step-by-step explanation:

Answer:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

Step-by-step explanation:

Here's a primer on how the dimensions play out at every level, from high school football to the NCAA and on up to the NFL. There are two constants, across the level of competition: 120 yards (360 feet) of length and 53 1/3 yards (160 feet) of width.

i think this is what your looking for?!

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

amount is ≤ 500

Step-by-step explanation:

Maximum means less than or equal to

amount is ≤ 500

Answer:

\(\bold{\dfrac{11}{2 }}\)

Step-by-step explanation:

Given the geometric series:

\(\{\dfrac{1}2, -1, 2, -4, ..... \}\)

To find:

Sum of series upto 5 terms using the geometric series formula = ?

Solution:

Formula for sum of a n terms of a geometric series is given as:

\(S_n=\dfrac{a(1-r^n)}{1-r} \ \{r<1 \}\)

\(a\) is the first term of the geometric series

\(r\) is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).

Here:

\(a = \dfrac{1}{2}\)

\(r = \dfrac{-1}{\dfrac{1}{2}} = -2\)

\(n=5\)

So, applying the formula for given values:

\(S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}\)

So, the answer is

\(\bold{\dfrac{11}{2 }}\)

The area of the composite figure is equal to 62.5 square meters

The composite figure can be observed to be made up of a big rectangle, a smaller rectangle, and a triangle. We calculate for the area of the three shape and sum the results to get the total area of the composite figure as follows:

area of the big rectangle = 7 m × 4 m = 28 m²

area of the smaller rectangle = 5 m × 2 m = 10 m²

area of the triangle = 1/2 × 7 m × 7 m = 24.5 m²

total area of the composite figure = 28 m² + 10 m² + 24.5 m²

total area of the composite figure = 62.5 m²

Therefore, the area of the composite figure is equal to 62.5 square meters

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Step-by-step explanation:

Hey there!

Given;

-8x= -32

~ Divide both sides by"-8".

(-8x)/-8 = (-32)/-(8)

Or, X= 4.

Therefore, the value of x must be 4.

Check:

-8*4 = -32

-32 = -32 (True)

Hope it helps...

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

3,000ft

Step-by-step explanation:

First set up the equation:

Start: 13,000 ft
Middle: 10,000 ft
End: ??

Lindsey started at 13,000ft, dropped 10,000ft, and then the remainder of it is what we are asked to find out. So all we have to do is 13,000 - 10,000 which equals 3,000.

There is a circumference of 69.167 miles per degree of latitude.

Firstly, we assume that the earth is a spherical form to simplify calculations as spheres have constant radii of curvature, because the real form of the planet is similar to a oblate spheroid, a kind of ellipsoid. In addition, the circular arc (s), in miles, is directly proportional to the measure of the central angle (θ), in degrees, that is:

s ∝ θ

s = k · θ         (1)

Where k is the constant of proportionality, in miles.

Now we eliminate the constant of proportionality and we calculate the circular arc afterwards:

s / 24900 mi = 1° / 360°

s = 1 / 360 × 24900 mi

s = 69.167 mi

There is a circumference of 69.167 miles per degree of latitude.

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Here is a program that declares two arrays of integers with the given values and a function match which takes two integer arrays (one and two) and returns the number of times "matches" occur in parallel positions in the two arrays.

The size of both arrays is the same.

The arrays are passed as parameters along with their size.

Program#include
#define SIZE 12
int match(int one[], int two[], int size);
int main()
{
   int one[SIZE] = {15, 3, 5, 87, 22, 56, 11, 6, 9, 26, 43, 12};
   int two[SIZE] = {2, 3, 54, 66, 98, 56, 10, 4, 9, 43, 33, 12};
   int matches = match(one, two, SIZE);
   printf("The two arrays have %d matches\n", matches);
   return 0;
}
int match(int one[], int two[], int size)
{
   int count = 0;
   for (int i = 0; i < size; i++) {
       if (one[i] == two[i]) {
           count++;
       }
   }
   return count;
}

Output

The two arrays have 4 matches

Explanation

The program first declares two integer arrays, one[] and two[], with the given values.

The program then calls the match() function and passes the two arrays and the size of the arrays as arguments.

The function match() counts the number of times matches occur in parallel positions in the two arrays by iterating over both arrays and comparing the values at each index.

If the values at the current index are the same, the count variable is incremented.

The function then returns the count.

Finally, the main() function displays the number of matches returned by the match() function.

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The given equation of the formula, y = mx + b, on solving for m by isolating it gives, m = (y - b)/x, making option C the right choice.

In the question, we are given the formula y = mx + b and are asked to solve the given formula for m.

To solve the equation for m, we need to isolate m to one side of the equation, and all other variables to the other side. This can be done as follows:

The given equation is:

y = mx + b.

Changing the sides of the equation gives us:

mx + b = y.

Subtracting b from both sides of the equation gives us:

mx + b - b = y - b,

or, mx = y - b {Simplifying}.

Dividing both sides of the equation by x gives us:

mx/x = (y - b)/x,

or, m = (y - b)/x {Simplifying}.

Thus, we have now isolated m to one side of the equation.

Thus, the given equation of the formula, y = mx + b, on solving for m by isolating it gives, m = (y - b)/x, making option C the right choice.

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The upper and lower limits for the sample mean control chart are:

UCL = 6.66

LCL = 3.36

To calculate the upper and lower limits for the sample mean control chart, we need to use the given data and formulas.

Sample size (n) = 15

Sample mean values: 13.30, 3.16, 3.21, 3.30, 3.27, 3.20

Range values: 0.49, 1.41, 2, 3, 0.47, 14, 5, 6, 0.49, 0.46, 0.54

First, we calculate the average range (R-bar) using the range values:

R-bar = (Sum of ranges) / (Number of samples)

R-bar = (0.49 + 1.41 + 2 + 3 + 0.47 + 14 + 5 + 6 + 0.49 + 0.46 + 0.54) / 11

R-bar ≈ 2.86 (rounded to 2 decimal places)

Next, we use the average range (R-bar) to calculate the control limits for the sample mean chart:

Upper Control Limit (UCL) = X-double bar + A2 * R-bar

Lower Control Limit (LCL) = X-double bar - A2 * R-bar

Where X-double bar is the average of sample means and A2 is a constant based on the sample size (n). For n = 15, A2 is 0.577.

Calculating the average of sample means (X-double bar):

X-double bar = (Sum of sample means) / (Number of samples)

X-double bar = (13.30 + 3.16 + 3.21 + 3.30 + 3.27 + 3.20) / 6

X-double bar ≈ 5.01 (rounded to 2 decimal places)

Calculating the control limits:

UCL = 5.01 + 0.577 * 2.86 ≈ 5.01 + 1.65 ≈ 6.66 (rounded to 2 decimal places)

LCL = 5.01 - 0.577 * 2.86 ≈ 5.01 - 1.65 ≈ 3.36 (rounded to 2 decimal places)

Therefore, the upper and lower limits for the sample mean control chart are:

UCL = 6.66

LCL = 3.36

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

False ..... ....... . . .. ..

The formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges.

Part 1: The formula for the nth partial sum, Sn, for the series n(n-1), can be found by using the formula for the sum of the first n natural numbers, which is given by Sn = n(n+1)/2. To find the sum of n(n-1), we can rewrite it as n^2 - n and use the formula for the sum of the first n squares, which is given by n(n+1)(2n+1)/6. Therefore, the formula for Sn is Sn = n(n+1)(2n-1)/6.

Part 2: To determine whether the given series converges or diverges, we need to evaluate the limit of Sn as n approaches infinity. Taking the limit of the formula for Sn, we get lim Sn = lim [n(n+1)(2n-1)/6] = lim (2n^3/6) = lim (n^3/3) = inf. Since the limit of Sn is infinity, the series diverges.

In conclusion, the formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges as the limit of Sn approaches infinity. This means that the sum of the series does not converge to a finite value and grows without bound as n increases.

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Answer:

9000 panels

Step-by-step explanation:

See attached for detailed explanation.

Remember that percent means division by a 100.

Answer:

I think that it may be 33

Because, you see 15-9=6

so you do 20-9=11

Then you do 25-9=16

add them all together to get 33 so i think that's the perimeter

I am really not sure if this is correct...i'm kinda bad at stuff like this