Since 1990, when the average monthly price for basic cable TV programming in a particular region was approximately $13, the cost has risen by about $1.10 a year. (a) Write an equation in slope-intercept form to predict cable TV costs in the future. Use t to represent time in years after 1990 and C to represent the average basic monthly cost.

The binomial probability formula, which includes the terms probability, combinations, and success/failure rate.

Given that 8 out of 10 Crestview residents shop at Walmart, the probability of success (shopping at Walmart) is 0.8, and the probability of failure (not shopping at Walmart) is 0.2. We're looking for the probability that at least 12 out of 14 randomly selected residents shop at Walmart.
Using the binomial probability formula, we have:
P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14), where X represents the number of residents who shop at Walmart.

We calculate the probabilities for each scenario:
P(X = 12) = C(14, 12) * (0.8)¹² * (0.2)²
P(X = 13) = C(14, 13) * (0.8)¹³ * (0.2)¹
P(X = 14) = C(14, 14) * (0.8)¹⁴ * (0.2)⁰
Sum the probabilities: P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14)
Compute the values and add them up to get the final probability.

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Answer:

-8

Step-by-step explanation:

It wont let me upload anything so i will come back with steps later

The horizontal distance between the base of the ladder and the building  is 8.4 feet.

The description forms a right triangle.

Let the distance be represented by x, to solve of x, we use trigonometric ratio

Cosine = Adjacent / Hypotenuse

cos( 56 ) = x / 15

x = cos( 56 ) × 15

x = 8.4 ft

Therefore, the value of x is 8.4 feet.

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Answer:

mean 24.2

median 25

Step-by-step explanation:

6 11 25 31 48

The break-even point for the given equation c = 15n + 269,000  , r = 95n  representing cost and revenue is equal to Option c. 3363units ( round up to nearest whole unit ).

As given in the question,

Cost equation is represented by :

c = 15n + 269,000

Revenue equation is given by ;

r = 95n

For the break-even point the cost is always equal to the revenue as there is no profit no loss.

c = r

15n + 269,000 = 95n

⇒ 95n - 15n = 269,000

⇒ 80n = 269,000

⇒ n = 269,000 / 80

⇒ n = 3362.5

⇒ n = 3363 units ( round up to nearest whole unit )

Therefore, the break-even point for the given cost and revenue is equal to Option c.  3363units ( round up to nearest whole unit ).

The above question is incomplete , the complete question is:

Find the break-even point for the given cost and revenue equations. round to the nearest whole unit. c = 15n + 269,000  , r = 95n

a. 80                          c. 3363        

b. 2445                      d. 110

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Answer:

y = 110 degree

x = 70 degree

z = 70 degree

Step-by-step explanation:

Vertical angles are always congruent.

so, the angle with the 110 degree is equal to the angle y.

now we have the measure of y.

as you can see angle y and angle z form a straight light wich means the sum of angle y and angle x is 180 degree

now, to get the measure of angle z,

180 - 110 = angle z

70 = angle z

now we have the measure of angle z

as angle z and angle x are vertical angle, they are congruent.

so angle x = 70

x = 70

z= 70

y = 110

hope this helps:)

To obtain the graph of h(x) = 5 - 2| x - 3 | from the graph of f(x), the following transformations need to be applied:

The graph of f(x) is the parent function, y = |x|, which is a V-shaped graph with its vertex at the origin. To obtain the graph of h(x), we need to apply a series of transformations.

The first transformation is a horizontal shift to the right by 3 units. This is done by subtracting 3 from the x-coordinate of every point on the graph. This moves the vertex of the graph from the origin to the point (3, 0).

The second transformation is a reflection across the y-axis. This is done by changing the sign of the x-coordinate of every point on the graph. This flips the graph over the y-axis.

The third transformation is a vertical stretch by a factor of 2. This is done by multiplying the y-coordinate of every point on the graph by 2. This makes the V-shape of the graph narrower and taller.

The fourth and final transformation is a vertical shift up by 5 units. This is done by adding 5 to the y-coordinate of every point on the graph. This moves the entire graph up by 5 units.

After applying all four transformations, we obtain the graph of h(x) = 5 - 2| x - 3 |, which is a V-shaped graph with its vertex at the point (3, 5). The graph is narrower and taller than the parent function, and is reflected across the y-axis.

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The degrees of freedom for a data table can be calculated using the formula:

Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)

In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:

Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90

Therefore, the degrees of freedom for the given data table is 90.

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Answer:$ 1341.99

Step-by-step explanation: Hope its helps

In order to simplify the difference quotient involving a rational function you must multiply both the numerator and denominator by the common denominator of the numerator over the same expression is True.

Multiply the denominator and the numerator with the sum of the denominators of the numerator across the same expression in order to simplify a variance quotient utilising a rational function.

A rational function is one that has a denominator other than zero and may be represented in the division of two polynomial functions. We need to combine the fractions that are in the numerator and denominator to simplify the rational function before computing the difference quotient.

We have to first determine the fractions' common denominator in the numerator. The denominator in the initial rational function is the same as this. We multiply the difference quotient's numerator and denominator once we get the common denominator.

By joining the fractions that have the same denominator, we can do this to simplify the numerator. From that, we can eliminate any shared factors between both denominators and numerator to obtain a more straightforward difference quotient.

We need to divide the numerator as well as the denominator with a common factor of the decimals in the numerator along the same expression in order to simplify the variance quotient using a rational function.

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The volume of the right rectangular prism with dimensions length = 7 feet, width = 2 feet, and height = 3.5 feet is 49 cubic feet.

What is volume ?

Volume is a physical quantity that refers to the amount of space occupied by an object or a substance. In mathematical terms, volume can be defined as the measure of the three-dimensional space enclosed by a closed surface or shape.

It is usually expressed in cubic units such as cubic meters, cubic feet, or cubic centimeters, depending on the system of measurement being used.

the length of the prism is 7 feet, the width is 2 feet, and the height is 3.5 feet.

Volume = Length x Width x Height

Volume = 7 ft x 2 ft x 3.5 ft

Volume = 49 cubic feet

So, the volume of the right rectangular prism with dimensions length = 7 feet, width = 2 feet, and height = 3.5 feet is 49 cubic feet.

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Answer:

x = 54° , y = 29°

Step-by-step explanation:

The sum of the 3 angles in Δ ABC = 180° then

x = 180° - (72 + 54)° = 180° - 126° = 54°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of Δ CQR , then

y + 25° = x

y + 25° = 54° ( subtract 25° from both sides )

y = 29°

Answer:

x = 54

y = 29

Step-by-step explanation:

First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.

To find x,

 72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)

        126 + x = 180

126 + x - 126 = 180 - 126

                  x = 54

To find y,

25 + 126 + y = 180

         151 + y = 180

 151 + y - 151 = 180 - 151

                  y = 29

Answer:

cos 38, sin 38, sin 1580, cos 1589

The given problem involves hypothesis testing in statistics. The correct conclusion will depend on whether the null hypothesis is rejected or not.

(a) The null and alternative hypotheses can be determined as follows: OAH (One-sample test for proportion): P = 0 (H0) versus H P ≠ 0 (HA).

(b) The test statistic, denoted as Zo, needs to be computed using the given sample data.

(c) To determine the P-value, the calculated test statistic is compared to the appropriate distribution (e.g., standard normal distribution) based on the chosen significance level.

(d) Based on the P-value and the predetermined significance level, the null hypothesis is either rejected or not rejected. If the P-value is less than the significance level, the null hypothesis is rejected. Otherwise, the null hypothesis is not rejected.

The conclusion will depend on whether the null hypothesis is rejected or not and should be stated accordingly.

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Answer:

1

Step-by-step explanation:

7-2×3

7-6=1

Answer:

7-2x

x=3

then 7-2×

7-2*(3)

7-6

1

The given 2x2 system of equations [I A * A 0] [r x] = [b 0] has a unique solution (r,x) and the vectors r and x are the residual and the solution of the least squares problem (18.1).

To show that the system has a unique solution, we need to prove that the coefficient matrix [I A * A 0] is invertible. Given that matrix A has rank n, it means that the columns of A are linearly independent. Therefore, the columns of [I A * A 0] are also linearly independent, resulting in a full rank matrix.

Since [I A * A 0] is invertible, we can multiply both sides of the equation by its inverse to obtain [r x] = [I A * A 0]^-1 [b 0]. This gives us a unique solution for (r,x). To relate the solution to the least squares problem, we can consider the residual vector e = [b 0] - [I A * A 0] [r x]. We want to minimize the Euclidean norm of the residual vector ||e||^2. By setting the derivative of ||e||^2 with respect to (r,x) equal to zero, we can solve for (r,x) that minimizes the norm. Thus, the vectors r and x obtained from the solution of the system are the residual and the solution of the least squares problem.

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The derivative of k(x) is:

\(k'(x) = e^{ (-3/5*x^{-3/5} + 2*x^{-3/4})}*( (9/25)*x^{-8/5} + (-3/2)*x^{-7/4}})\)

Remember the chain rule, if:

h(x) = f( g(x)), then:

h'(x) = f'( g(x))*g'(x)

Here we have the function:

\(k(x) = e^{ (-3/5*x^{-3/5} + 2*x^{-3/4})}\)

The derivate of the exponential is itself, then we will get:

\(k'(x) = e^{ (-3/5*x^{-3/5} + 2*x^{-3/4})}*( (-3/5)*(-3/5)*x^{-3/5 - 1} + 2*(-3/4)*x^{-3/4 - 1}})\\\\k'(x) = e^{ (-3/5*x^{-3/5} + 2*x^{-3/4})}*( (9/25)*x^{-8/5} + (-3/2)*x^{-7/4}})\)

That is the derivate of k(x).

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Answer:

A recent random sample of n = 805 adult U.S. residents found that the proportion who rated the honesty and ethical  standards of nurses as very high or high is 0.85. This is 0.15 higher than the proportion recorded for doctors, the next  highest-ranked profession.  

Step-by-step explanation:

got it right on edulastic

Answer:

No, No, Yes, No, Yes, Yes

Step-by-step explanation:

A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).

This is because for a function, each input must map onto no more than one output.

The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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Identity properties of addition are known to commutative in nature.

Given A and B, A and B are commutative or possess identity property of addition if;

A+B = B+A

For identity property, the two integers you are summing must include zero. For exmaple, a+0 = 0+a = a

The answer must always give the non-zero integer. Let us use 8 and 0 for example. This two possess the identity property of addition because;

8+0 = 0+8 = 8 (identity property of addition)

Using a trigonometric realtion, we can see that x = 23.18cm

Here we have a right triangle, we can see that y = 6cm, and the angle theta is 15°.

Notice that y is the opposite cathetus to the known angle, and we want to find the value of x, which is the hypotenuse.

Then we can use the trigonometric relation:

sin(a) = (opposite cathetus)/hypotenuse.

Reaplacing what we know, we will get:

sin(15°) = 6cm/x

Solving that for x:

x = 6cm/sin(15°9

x = 23.18cm

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Answer:

15

Step-by-step explanation:

Red counters = 35

Number of green counters = x

P(picking a green counter) = 0.3

Probability = required outcome / Total possible outcomes

Required outcome = number of green counter

Total possible outcomes = green counter + red counter

Hence,

0.3 = x / (35+x)

0.3(35 + x) = x

10.5 + 0.3x = x

10.5 = x - 0.3x

10.5 = 0.7x

x = 10.5 / 0.7

= 15

Number of green counters = 15

Answer:

-3

Have a nice day

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Answer:

equation 3 for the x intercept ley Y =0 and for the Y intercept let X =O

The gift shop needs to produce 7 handcrafted greeting cards to break even, resulting in a profit of zero.

The profit function is given as p(x) = 1.5x - 10, where x represents the number of handcrafted greeting cards produced. To find the break-even point, we set the profit function equal to zero and solve for x:

1.5x - 10 = 0

Adding 10 to both sides:

1.5x = 10

Dividing both sides by 1.5:

x = 10 / 1.5

Using a calculator, the approximate value of x is 6.67. Since we cannot produce a fraction of a card, we round the value to the nearest whole number.

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