An amusement park has 12 major attractions: four roller
coasters, two carousels, two drop towers, two gravity rides, and two dark ride
The park's app will randomly select attractions for you to visit in order. What
is the probability that the four roller coasters are the first four suggested
attractions?

Answer:

x=3

Step-by-step explanation:

took the quiz

Answer:

x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

your answer would be -9

Answer:

-9

Step-by-step explanation:

According to the Question, the required Joint value function of

a)  \(f(\frac{1}{2}, \frac{1}{2}) =\frac{15}{4}.\)

b) \(f(\frac{1}{2} , 2) = 60.\)

We replace the supplied values with the function to get the outcomes of the joint density function \(f(y_{1}, y_{2})\)  at certain places.

(a) To find \(f(\frac{1}{2} , \frac{1}{2} )\):

Substitute \(y_{1 }= \frac{1}{2}\) and \(y_{2} = \frac{1}{2}\) into the joint density function:

\(= f(\frac{1}{2}, \frac{1}{2}) = 30 * (\frac{1}{2}) * (\frac{1}{2})^2\\\\= 30 * (\frac{1}{2}) * (\frac{1}{4})\\\\= \frac{30}{8}\\\\= \frac{15}{4}\)

Therefore, \(f(\frac{1}{2}, \frac{1}{2}) =\frac{15}{4}.\)

(b) To find \(f(\frac{1}{2} , 2)\):

Substitute \(y_{1} = \frac{1}{2}\) and \(y_{2 }= 2\) into the joint density function:

\(=f(\frac{1}{2} , 2) = 30 * (\frac{1}{2}) * (2)^2\\\\= 30 * (\frac{1}{2}) * 4\\\\= 60\)

Therefore, \(f(\frac{1}{2} , 2) = 60.\)

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Answer:

5/36

Step-by-step explanation:

Answer:

49/36

Step-by-step explanation:

LCM = 9 x 4

        = 36

1/9 x 4/4 = 4/36

5/4 x 9/9 = 45/36

4/36 + 45/36 = 49/36

Hope this helps :)

Answer:

$287.88

Step-by-step explanation:

Multiply 119.95 by 3.

You get 359.85

Multiply that by 80% or 0.8

The answer is 287.88

Answer:

75°

Step-by-step explanation:

In triangle FBG, one angle is 36.  That means the other two must total 180-36=144.  Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.

In triangle JDI, one angle is 39.  That means the other two must total 180-39=141.  Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5

We now have 4 of the interior angles.  Pentagons have an interior total of 540.  540-108-108-109.5-109.5=105

x is the supplement of 105.  180-105=75

To find the derivative of the function y=(x^2+4)/(x^2-4)^5, we need to use the chain rule and the quotient rule.
First, we can simplify the function by factoring the numerator and denominator:
y = [(x^2+4)/(x^2-4)]^5
y = [(x^2-4+8)/(x^2-4)]^5
y = [(x^2-4)/(x^2-4) + 8/(x^2-4)]^5
y = [1 + 8/(x^2-4)]^5

Now, we can use the chain rule:
Let u = x^2-4
y = [1 + 8/u]^5
y' = 5[1 + 8/u]^4 * (8/u^2) * u'
y' = 40(x^2-4)^-2(1+8/(x^2-4))^4(x)

Therefore, the derivative of the function y=(x^2+4)/(x^2-4)^5 is:
y' = 40(x^2-4)^-2(1+8/(x^2-4))^4(x)

Step 1: Identify the outer function and the inner function.
Outer function: f(u) = u^5
Inner function: u = x^2 + 4/(x^2 - 4)

Step 2: Find the derivatives of the outer function and the inner function.
f'(u) = 5u^4 (derivative of the outer function)
du/dx = 2x - 4(x^2 - 4)^(-1)(2x) (derivative of the inner function)

Step 3: Apply the chain rule.
dy/dx = f'(u) * du/dx
dy/dx = 5u^4 * (2x - 4(x^2 - 4)^(-1)(2x))
dy/dx = 5(x^2 + 4/(x^2 - 4))^4 * (2x - 4(x^2 - 4)^(-1)(2x))

So, the derivative of the function y = (x^2 + 4/(x^2 - 4))^5 is:

dy/dx = 5(x^2 + 4/(x^2 - 4))^4 * (2x - 4(x^2 - 4)^(-1)(2x))

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To convert miles to kilometers, you need to multiply the value in miles by 1.60934.

To convert miles to kilometers, the mathematical operation that is required is multiplication. Here is the mathematical formula to convert miles to kilometers :km = miles × 1.60934

Where 1.60934 is the conversion factor from miles to kilometers. So, to convert any value from miles to kilometers, simply multiply the value by 1.60934.

For example, let's say you want to convert 10 miles to kilometers. Using the formula above, we get: km = 10 miles × 1.60934km = 16.0934 kilometers

Therefore, 10 miles is equivalent to 16.0934 kilometers.
In summary, to convert miles to kilometers, you need to multiply the value in miles by 1.60934.

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Answer:

its 12

Step-by-step explanation:

Answer:

7g + 3n - 2

Step-by-step explanation:

(7g - 6) - (-3n - 4)

7g - 6 + 3n + 4

7g + 3n - 2

I hope this helps!

Answer:

11/5.5= $2 per pound of gravel

Hope this helped :)

Based on the information provided, it appears that Sammi did not make any mistakes in creating the tally chart. The information appears to be correctly recorded and organized.

To create a dot plot, Sammi would simply plot a dot above the appropriate number on the number line for each entry in the "hours" column and mark it the number of times specified in the corresponding entry in the "tally" column.

The answer was determined based on the information provided in the question, which was a 2-column table with 4 rows. The first column was labeled "hours" and had entries of 3, 4, 5, 6. The second column was labeled "tally" and had entries of 4, 6, 3, 5.

Given this information, it can be concluded that Sammi correctly recorded the hours and their respective tallies. Therefore, there is no mistake in the creation of the tally chart.

It is important to note that the question only asks about the creation of the tally chart and not the creation of the dot plot, so the answer is based solely on the information provided in the question and not any assumed knowledge or steps in creating a dot plot.

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Answer:

we will continue to do so. ... Undergraduate. Enrollment. 2012. 16,498. 2013. 16,420. 2014. 16,153. 2015 ... freshman class was 59 percent .

Answer:

\(\mu = 47.17\)

\(\sigma = 2.31\)

Step-by-step explanation:

Solving (a): The population mean

This is calculated as:

\(\mu = \frac{\sum x}{n}\)

So, we have:

\(\mu = \frac{48.2+ 47.8 +45.6 +47.2 +49.3+51.2 +44.2 +45.4 +49.2 +43.6}{10}\)

\(\mu = \frac{471.7}{10}\)

\(\mu = 47.17\)

Solving (b): The population standard deviation

This is calculated as:

\(\sigma = \sqrt{\frac{\sum (x - \mu)^2}{n}}\)

So, we have:

\(\sigma = \sqrt{\frac{(48.2-47.17)^2 + (47.8-47.17)^2 +.........+(43.6-47.17)^2}{10}}\)

\(\sigma = \sqrt{\frac{53.521}{10}}\)

\(\sigma = \sqrt{5.3521\)

\(\sigma = 2.31\)

Answer:

y=-1500x + 21000

Step-by-step explanation:

I =PRT

I = interest

P = principal

R = interest rate%

T = time

The straight-line depreciation equation would be; y=-1500x + 21000

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that car that Sophia wants to buy costs $21,000. She does research that after 14 years the car depreciates to a value of zero.

The standard exponential equation is \(y = a(1-r)^t\)

r is the rate

t is the time

a is the initial value

Given the following;

r = 12% = 0.12

t = 14 years

a = $21000

Substitute;

y = 21000(1 -0.12)^14

y = $1500

Therefore, the straight-line depreciation equation would be;

y=-1500x + 21000

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Answer:

Jasmine is incorrect

Step-by-step explanation:

The sign means 16 is greater than or equal to 11x-6

Start by substituting 2 for x

16 ≥ 11x-6

16 ≥ 11(2)-6

16 ≥ 22-6

16 ≥ 16

This is true since 16 is equal to 16

Now we substitute 3 for x

16 ≥ 11x-6

16 ≥ 11(3)-6

16 ≥ 33-6

16 ≥ 27

This is not true as 27 is greater than 16.

Since only 2 is a solution of the inequality, Jasmine is incorrect.

Answer:

-2.75

Step-by-step explanation:

-4w-2=6w+20

-20-2=6w+4w

-22 = 8w

w = -2.75

Answer:

???

Step-by-step explanation:

Answer:

\(s = 63\)

Step-by-step explanation:

Solve for \(s\) :

\(\frac{s - 23}{5} = 8\)

-Multiply both sides by the denominator \(5\) :

\(5 \times \frac{s - 23}{5} = 8 \times 5\)

\(s - 23 = 40\)

-Add both sides by \(23\) :

\(s - 23 + 23 = 40 + 23\)

\(s = 63\)

Therefore, the value of \(s\) is \(63\).

The relation r on a is an equivalence relation.

To show that the relation r defined on a, where a = z × z, is an equivalence relation, we need to demonstrate three properties: reflexivity, symmetry, and transitivity.

1. Reflexivity: For all (a, b) in a, (a, b) r (a, b).

This means that for any complex number (a, b), we have a * b = a * b, which is true. Therefore, the relation is reflexive.

2. Symmetry: For all (a, b) and (c, d) in a, if (a, b) r (c, d), then (c, d) r (a, b).

Suppose (a, b) r (c, d), which means a * d = c * b. We need to show that (c, d) r (a, b), i.e., c * b = a * d.

By symmetry, the equality a * d = c * b holds, and we can rearrange it to obtain c * b = a * d. Thus, the relation is symmetric.

3. Transitivity: For all (a, b), (c, d), and (e, f) in a, if (a, b) r (c, d) and (c, d) r (e, f), then (a, b) r (e, f).

Since the relation r on a satisfies all three properties of reflexivity, symmetry, and transitivity, it is an equivalence relation.

In summary, the relation r defined on a, where a = z × z, is an equivalence relation.

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P = $18,500 (Principal amount)

r = 6% (Interest rate per year)

t = 4 years (Loan duration)

The interest amount, I, can be calculated using the formula I = Prt.

The total loan amount, A, is equal to the principal amount plus the interest amount, A = P + I.

The monthly installment, d, can be calculated by dividing the total loan amount by the number of months in the loan duration.

In the given scenario, the principal amount, P, is $18,500. The interest rate, r, is 6%, and the loan duration, t, is 4 years.

To find the interest amount, I, we can use the formula I = Prt. Substituting the given values, I = $18,500 * 6% * 4 = $4,440.

The total loan amount, A, is the sum of the principal amount and the interest amount. Therefore, A = $18,500 + $4,440 = $22,940.

To calculate the monthly installment, d, we need to divide the total loan amount by the number of months in the loan duration. Since there are 12 months in a year, the loan duration of 4 years corresponds to 4 * 12 = 48 months. Therefore, d = $22,940 / 48 = $477.92 (rounded to two decimal places).

Therefore, Justin's monthly installment for the car loan would be approximately $477.92.


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Answer:

8 people or 2/3 of the people choose another drink. Is that what you were asking?

Answer:

Each side is 8.55

Step-by-step explanation:

The perimeter of a square is given by

P =4s

34.2 = 4s

Divide each side by 4

34.2 /4 = 4s/4

8.55 = s

Each side is 8.55

Answer:

Step-by-step explanation:

\(perimeter \: = x + x + x + x \\ 34.2 = 4x \\ \frac{34.2}{4} = \frac{4x}{4} \\ x = 8.55\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

2/3

Step-by-step explanation:

3-7

-----

-6-0

= -4/-6

=2/3

Answer:

Step-by-step explanation:

Use the slope formula:

Answer:

6^36

Step-by-step explanation:

6^9x4

6^36

The phase line of the autonomous differential equation \(\( \frac{dx}{dy} = y(y-1)\cos(y) \)\) consists of three equilibrium points. The equilibrium points can be classified as a node, a sink, or a source based on their behavior.

The equilibrium points occur where the derivative \(\( \frac{dx}{dy} \)\) is equal to zero. Therefore, we need to find the values of y that satisfy \(\( y(y-1)\cos(y) = 0 \)\). This equation holds true when y = 0 , y = 1 , or os(y) = 0 . For cos(y) = 0, we have solutions \(\( y = \frac{\pi}{2} + n\pi \)\) where n is an integer.

Now, let's analyze each equilibrium point on the phase line:

1. y = 0: This is a source point because the derivative \(\( \frac{dx}{dy} \)\) is positive for y < 0 and negative for y > 0 . Trajectories will move away from this point.

2. y = 1 : This is a sink point as the derivative \(\( \frac{dx}{dy} \)\) is negative for y < 1 and positive for y > 1 . Trajectories will approach this point.

3. \(\( y = \frac{\pi}{2} + n\pi \)\) : These are nodes because the derivative \(\( \frac{dx}{dy} \)\) does not change sign around these points. Trajectories will either approach or move away depending on the initial conditions.

In summary, the equilibrium points on the phase line are a source at y = 0 , a sink at y = 1 , and nodes at \(\( y = \frac{\pi}{2} + n\pi \)\) for integer values of n .

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Answer:

It has 1 solution in different forms.

Step-by-step explanation:

In the exact form it is: -83/8

In the decimal form it is: -10.375

In the mixed number form it is: -10 \(3/8\)

Hope this helps:)