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The picture explains the problem

The approach to probability exemplified by the formula Probability of an Event = Number of favourable Outcomes / Total number of possible outcomes is the Classical approach to probability.

The Classical approach to probability is based on the assumption of equally likely outcomes and is often used when dealing with simple and well-defined experiments or situations. It involves counting the number of favorable outcomes (those that satisfy the desired condition) and dividing it by the total number of possible outcomes. This approach assumes that all outcomes have an equal chance of occurring.

In contrast, the Empirical approach involves conducting experiments or observations to gather data and estimate probabilities based on the observed frequencies. The Subjective approach relies on personal judgments or subjective assessments of probabilities based on individual beliefs or opinions.

Therefore, the correct answer is A) Classical approach.

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Answer:

y = x + 6

Step-by-step explanation:

Given:

Passes through (-4, 2)

m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = 1(x + 4)

y - 2 = x + 4

y = x + 6

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

y = 6

hope this helps!

Answer:

hourly fee is $62.5

Step-by-step explanation:

75 is flat fee so it's constant. works 2 hours so flat fee time 2 is 2x.

200=75+2x

200-75=2x

125=2x

62.5=x

The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

To find the total area of the solid figure, we need to determine the areas of each face and then add them together.

The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.

First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:

Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches

Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches

Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.

Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:

Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.

Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:

Total area = Area of rectangular prism + Area of triangular pyramid

Total area = 90 square inches + 27sqrt(3) / 4 square inches.

Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

You don't have a picture

Step-by-step explanation:

Answer:

Hmmm the picture....? Please send it

a. The mean of the random variable X can be determined by finding the first derivative of its moment generating function and evaluating it at t = 0.b. The variance of X can be found by taking the second derivative of the moment generating function and evaluating it at t = 0, then subtracting the square of the mean.

a. To find the mean of X, we differentiate the moment generating function m(t) with respect to t and evaluate it at t = 0. The first derivative represents the expected value or mean of the random variable. So, by finding m'(t) and substituting t = 0, we can determine the mean of X.

b. To calculate the variance of X, we take the second derivative of the moment generating function m(t) and evaluate it at t = 0. The second derivative provides information about the variability or spread of the random variable. After obtaining m''(t), we substitute t = 0 and subtract the square of the mean to obtain the variance.

By applying these steps to the given moment generating function m(t) = e^(-8t)/(1 - 9801t^2), we can determine the mean (a) and variance (b) of the random variable X.

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The probability that the dealership will make a profit if 4 customers enter on Friday is approximately 24.01%.

a. You can estimate the Hypergeometric Distribution with the Binomial Distribution under the following conditions:
1. The sample size (n) is relatively small compared to the population size (N).
2. The probabilities of success (p) and failure (q) remain approximately constant throughout the sampling process.

In this case, since we're assuming sampling with replacement, identical cars, and independent trials with constant probability, it's appropriate to use the Binomial Distribution.

b. To calculate the probability that the dealership will make a profit if 4 customers enter on Friday, we can use the Binomial Distribution formula:

P(X = k) = (nCk) * (p^k) * (q^(n-k))

Where:
- P(X = k) is the probability of exactly k successes (cars sold)
- nCk is the number of combinations of n items taken k at a time
- p is the probability of success (car sold)
- q is the probability of failure (car not sold)
- n is the number of trials (customers)
- k is the number of successes (cars sold)

Here, n = 4, p = 0.70, and q = 1 - p = 0.30. We need to find the probability of selling at least 4 cars (k ≥ 4) to make a profit:

P(X ≥ 4) = P(X = 4)
P(X = 4) = (4C4) * (0.70^4) * (0.30^0)
P(X = 4) = 1 * (0.2401) * (1)
P(X = 4) = 0.2401

Therefore, the probability that the dealership will make a profit if 4 customers enter on Friday is approximately 24.01%.

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Answer:

93.1

24.83

24.13

2755

12.75

0.151

Step-by-step explanation:

Given :

21.1 + 45.99 + 26.0 = 93.09

15.55 + 21.61 - 12.333 = 24.827

14 + 0.8 + 9.33 = 24.13

14.5 * 190 = 2755

5.1 * 2.5 = 12.75

0.15 ÷ 0.991 = 0.151

Answer:

80 is the breadth and 140 is the length

Step-by-step explanation:

Total asset turnover is a financial ratio that measures a company's efficiency in generating sales from its total assets. It is calculated by dividing net sales by average total assets.

The formula for total asset turnover is:

Total Asset Turnover = Net Sales / Average Total Assets

Given the information provided:

Net Sales = $3,570 million

Average Total Assets = $3,050 million

Using the formula, we can calculate the total asset turnover:

Total Asset Turnover = $3,570 million / $3,050 million

Total Asset Turnover ≈ 1.1705

Rounded to four decimal places, the total asset turnover for Flask Company is approximately 1.1705.

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However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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Answer:

-1.6666......   ( -1.6 recurring)

Step-by-step explanation:

      1.666     <  Quotient

      ------------------------------

3 ) 5.000

    3 0

     20

     18

       20

       18

         20

         18

The 6 is recurring so the answer is 1,666..... * -1 = -1.666.....

GET THEM ALL RIGHT!?

To write the quadratic function f(x) = 2x^2 + 16x - 29 in the form f(x) = a(x - n)^2 + k, we need to complete the square.

First, let's factor out the leading coefficient of 2 from the first two terms: f(x) = 2(x^2 + 8x) - 29 Next, we complete the square by adding and subtracting the square of half the coefficient of the x term (in this case, 8/2 = 4): f(x) = 2(x^2 + 8x + 4^2 - 4^2) - 29

Simplifying:

f(x) = 2(x^2 + 8x + 16 - 16) - 29

f(x) = 2((x + 4)^2 - 16) - 29

f(x) = 2(x + 4)^2 - 32 - 29

f(x) = 2(x + 4)^2 - 61

Now, we can see that a = 2, n = -4, and k = -61. Therefore, the quadratic function f(x) = 2x^2 + 16x - 29 can be written as f(x) = 2(x + 4)^2 - 61. The vertex of the graph occurs when x = -4, and plugging this value into the equation gives us:

f(-4) = 2(-4 + 4)^2 - 61

f(-4) = 2(0)^2 - 61

f(-4) = 0 - 61

f(-4) = -61

Hence, the vertex of the graph is (-4, -61).

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Answer:

Y=4x-1

Step-by-step explanation:

Slope form is Y = Mx + b

1. Isolate Y by subtracting 4x from both sides

2. Then reverse all signs since your Y is negative

1 becomes -1

-4x becomes 4x

-y becomes y

Final Equation: y = 4x + 1

Hope this Helps! :)

Answer:

y = 4x -1

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

4 x - y =1

Subtract 4x from each side

4x-y-4x = -4x+1

-y = -4x+1

Divide by -1

-y/-1 = -4x/-1 +1/-1

y = 4x -1

Answer:

\(1.76^{0}\), \(88.24^{0}\)  and  \(90^{0}\)

Step-by-step explanation:

Since the triangle is a right angled triangle, one of its angles is \(90^{0}\).

To determine the degrees of other angles, let the smallest angle be represented by y. Thus, the third angle is 50y.

So that:

\(y^{0}\) + 50\(y^{0}\)  + \(90^{0}\) = \(180^{0}\)

51\(y^{0}\) = \(180^{0}\) -  \(90^{0}\)

51\(y^{0}\) =  \(90^{0}\)

\(y^{0}\) = \(1.7647^{0}\)

\(y^{0}\) ≅ \(1.76^{0}\)

Therefore,

50\(y^{0}\) = 50 x 1.76471

        = \(88.2355^{0}\)

        ≅ \(88.24^{0}\)

The angles of the triangle are: \(1.76^{0}\), \(88.24^{0}\)  and  \(90^{0}\).

Answer:

Step-by-step explanation:

Answer is "20,70,and 90

Answer:

(x+4)

Step-by-step explanation:

Since area is width times length, you can just factor the area to get the width and length

You factor to get (x+4)(x+7)

Since (x+7) is the length, (x+4) must be the width

Answer:

(x + 4) m

Step-by-step explanation:

\(Area \: of \: rectangle = length \times width \\ \\ width = \frac{Area \: of \: rectangle}{length} \\ \\ = \frac{ {x}^{2} + 11x + 28 }{x + 7} \\ \\ = \frac{ {x}^{2} + 7x + 4x + 28}{x + 7} \\ \\ = \frac{ x({x} + 7) + 4(x + 7)}{x + 7} \\ \\ = \frac{ ({x} + 7) (x + 4)}{x + 7} \\ \\ = (x + 4) \: m \\ \\ \red{ \boxed{\bold {\therefore \: width \: = (x + 4) \: m}}} \)

Answer:Divide your speed in feet per minute by 60

Step-by-step explanation:

Answer:

Hope that answers your question. The 3rd function has no solution

84th percentile = 1260, 16th percentile = 900, 2.5th percentile = 850, 97.5th percentile = 1300, 112 seniors between 600 and 1350, 180 seniors scored less than 1200.

To calculate the 84th percentile, we need to use the empirical rule. The mean is 1050 and the standard deviation is 150. So, 68% of the seniors will lie within one standard deviation from the mean, 95% within two standard deviations, and 99.7% within three standard deviations. Therefore, 84% of the seniors will lie within 1.12 standard deviations from the mean. This means the 84th percentile is 1050 + 1.12 * 150 = 1260. Similarly, for the 16th percentile, we will find the value 1.04 standard deviations below the mean i.e. 900. For the 2.5th percentile, we will find the value 0.84 standard deviations below the mean i.e. 850. For the 97.5th percentile, we will find the value 1.64 standard deviations above the mean i.e. 1300. The number of seniors scoring between 600 and 1350 is 112, and the number of seniors scoring less than 1200 is 180.

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The best prediction is that the college will have about 480 students who prefer cookies.

According to the table, 27 out of 225 students prefer cookies. To find the prediction for the number of cookies the college will need, we can set up a proportion:

27/225 = x/4000

Where x is the predicted number of students who prefer cookies.

Solving for x, we get:

x = (27/225) * 4000

x ≈ 480

Therefore, the best prediction is that the college will have about 480 students who prefer cookies.

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If cosine of x degrees equals three-fifths, the value of b is 7.

What is cosine ?

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. The most common trigonometric functions are sine, cosine, and tangent. The reciprocal functions are cosecant, secant, and cotangent.

In this case, we are given that cos(x) = 3/5. From this, we can use the inverse cosine function (arccos) to find the value of x in degrees. However, this alone is not enough to determine the value of b.

In the given triangle LNM, we know that angle M measures 90 degrees and angle L measures x degrees. We also know that side LM measures 3b units and LN measures 20 units.

Using the Pythagorean theorem, we know that the length of MN, which is the hypotenuse, can be found by:

MN^2 = LM^2 + LN^2

We also know that

cos(x) = LM / MN

Therefore, we have:

3/5 = (3b) / (sqrt(3b^2 + 20^2))

b = 7

So , If cosine of x degrees equals three-fifths, the value of b is 7.

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The next letters in the pattern are 6 and -7.The given pattern alternates between positive and negative numbers. By observing the pattern, we can determine the next numbers in the sequence.

The first number, 2, is positive. The second number is obtained by taking the negative of the previous number and subtracting 1. Therefore, -2 - 1 = -3.The third number is positive and is obtained by taking the absolute value of the previous number and adding 1. Therefore, |-3| + 1 = 4.

The fourth number is negative and is obtained by taking the negative of the previous number and subtracting 1. Therefore, -4 - 1 = -5.

Following this pattern, the next number will be positive and obtained by taking the absolute value of the previous number and adding 1. Therefore, |-5| + 1 = 6.

The next number after 6 will be negative and obtained by taking the negative of the previous number and subtracting 1. Therefore, -6 - 1 = -7.

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Answer:

The area after 5 will be of aproximately 3173 square kilometers.

(the exact area is 3172.9024217 square kilometers)

The equation can be written as 6 + (-6y) = -6y - 1 + (7).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given is an equation with missing parts.

The left hand side of the equation does not contain a term with variable, but the right hand side contains it.

Adding that term in the left hand side, we get, 6 + (-6y) in the left hand side.

So the right hand side must be equal.

So the expression in the right hand side is -6y - 1 + (7).

Hence the expressions are 6 + (-6y) on the left hand side and  -6y - 1 + (7) on the right hand side.

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Answer:

c

Step-by-step explanation:

Answer:

(1,1) (0, -1) (2, 3)

Step-by-step explanation:

Just plug in the x for each number