You are counting black and blue cars in the school parking lot. You see a total of 39
cars in the lot. There are 11 more black cars than blue cars.
How many are there of each color car?

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

Slope = -3/7

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1.

Substitute for the points.

5-2/3-10 = -3/7

Answer:

-3/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-2)/(3-10)

m=3/-7

Answer:

y=-3x-10

Step-by-step explanation:

Answer: 1 1/4

Step-by-step explanation:

Answer:

no. i mean if u wanna take my points ok thats fine but dont be upset when i take ur points

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Para resolver este problema vamos a definir 4 variables:

V= número de varones bailando.

M= número de mujeres bailando.

V' = número de varones que no están bailando.

M' = número de mujeres que no están bailando.

Sabemos que hay 40 personas en la fiesta, por lo que podemos construir la siguiente ecuación:

V+M+V'+M'=40

Vamos a suponer que cada mujer que está bailando, está bailando varón respectivamente. (El problema no da más información, entonces podemos suponer esto.)

Entonces si hay 5 mujeres bailando, entonces también hay 5 hombres bailando, por lo que nuestra ecuación se reescribe de la siguiente manera:

5+5+V'+M'=40

y simplificamos:

10+V'+M'=40

V'+M'=40-10

V'+M'=30

Ahora bien, el problem nos dice que el número de varones que no bailan es el doble del número de mujeres que no bailan en un determinado momento. Entonces con esta información podemos construir la siguiente ecuación:

V'=2M'

Y podemos despejar el número de mujeres que no bailan, lo que nos da:

\(M'=\frac{V'}{2}\)

Entonces podemos sustituir esto dentro de nuestra ecuación para obtener:

\(\frac{V'}{2}+V'=30\)

y podemos entonces despejar V'

\(\frac{3V'}{2}=30\)

\(V'=\frac{2(30)}{3}\)

V'=20

Entonces hay 20 varones que no están bailando, por lo que la probabilidad de que el varón que se escoge al azar no esté bailando está dada por la siguiente fórmula:

\(P=\frac{V'}{total}\)

\(P=\frac{20}{40}=\frac{1}{2}\)

P=50%

Answer: 28

Step-by-step explanation:

28 is thhe missing number

The most appropriate choice for exponent will be given by-

Mass of jupiter = 1.898 \(\times\) \(10^{27}\) kg

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a\times a \times a\times....\times a\) (m times), a is the base and m is the index.

The laws of index are

\(a^m \times a^n = a^{m+n}\\\\\frac{a^m}{a^n} = a^{m - n}\\\\a^0=1\\\\(a^m)^n = a^{mn}\\\\(\frac{a}{b})^m =\frac{a^m}{b^m}\\\\a^{-m} = \frac{1}{a^m}\)

Here,

Mass of jupiter = 1.898 \(\times\) \(10^{27}\) kg

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The range of the relation f(x) = 2x + 3 is {1, 3, 5}

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x + 3

Domain {-1, 0, 1}

Substitute the known values in the above equation, so, we have the following representation

f(-1) = 2(-1) + 3 = 1

f(0) = 2(0) + 3 = 3

f(1) = 2(1) + 3 = 5

Hence, the range for the relation is {1, 3, 5}

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Answer:

40 and 41.

Step-by-step explanation:

81/2 = 40.5, thus 40 and 41

A.  This expression gives: AC = -38 + 150/Q

B.  The manufacturer receives a maximum weekly profit of £594.50 when it produces 12.25 units per week.

C. The profit function is maximized at this point, since it is increasing for smaller values of Q and decreasing for larger values of Q.

a) The total cost (TC) function is given by the sum of fixed costs and variable costs:

TC = FC + VC

where FC is the weekly fixed cost of £150 and VC is the weekly variable cost per unit, which is given by VC = 2Q - 40. Substituting this expression into the TC function gives:

TC = 150 + 2Q - 40Q

Simplifying this expression gives:

TC = -38Q + 150

The average cost (AC) function is given by the total cost divided by the quantity:

AC = TC/Q

Substituting the expression for TC gives:

AC = (-38Q + 150)/Q

Simplifying this expression gives:

AC = -38 + 150/Q

b) The profit function (π) is given by the difference between revenue and cost:

π = TR - TC

where TR is the total revenue, which is equal to price times quantity, or PQ. Substituting the demand function P = 60 - 4Q gives:

TR = PQ = (60 - 4Q)Q = 60Q - 4Q^2

Substituting the expression for TC gives:

π = TR - TC = (60Q - 4Q^2) - (-38Q + 150)

Simplifying this expression gives:

π = -4Q^2 + 98Q - 150

To find the profit-maximizing level of output, we take the derivative of the profit function with respect to Q and set it equal to zero:

dπ/dQ = -8Q + 98 = 0

Solving for Q gives:

Q = 12.25

To check that this is a maximum, we take the second derivative:

d²π/dQ² = -8 < 0

Since the second derivative is negative, we know that Q = 12.25 is a maximum.

Substituting this value of Q into the profit function gives:

π = -4(12.25)^2 + 98(12.25) - 150 = £594.50

Therefore, the manufacturer receives a maximum weekly profit of £594.50 when it produces 12.25 units per week.

c) At the profit-maximizing level of output, the marginal revenue (MR) is equal to the marginal cost (MC). The marginal cost function is given by the derivative of the total cost function:

MC = dTC/dQ = -38

The marginal revenue function is given by the derivative of the demand function:

MR = dTR/dQ = 60 - 8Q

At the profit-maximizing level of output Q = 12.25, we have:

MC = -38

MR = 60 - 8(12.25) = -1

Since MR < MC, the profit function is decreasing at this point and the maximum profit has been achieved. This can be seen in the graph as the profit function peaks at Q = 12.25 and decreases for larger or smaller values of Q.

Here is a sketch of the relationship between the marginal cost (MC), the marginal revenue (MR), and the profit function at the profit-maximizing level of Q:

     |

MR     |

/\    /  

/  _/     _

/              

-------------------> Q

MC

The vertical line indicates the profit-maximizing level of output, where MR = MC. The profit function is maximized at this point, since it is increasing for smaller values of Q and decreasing for larger values of Q.

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Answer:

usually the last numeral in an equation

Step-by-step explanation:

that'll be the y intercept

Answer:

shouldn't it be X.............m

Step 1:

To complete the fib_recur function for calculating the n-th Fibonacci number recursively, use the following code:

```python

def fib_recur(n):

   if n <= 0:

       return 0

   elif n == 1:

       return 1

   else:

       return fib_recur(n - 1) + fib_recur(n - 2)

```

The provided code implements a recursive approach to calculate the n-th Fibonacci number. In this algorithm, we first check if the input `n` is less than or equal to 0. If so, we return 0, as Fibonacci numbers start from 0. Next, we check if `n` is equal to 1 and return 1 since the first Fibonacci number is defined as 1. For any other value of `n`, we recursively call the `fib_recur` function, passing `n-1` and `n-2` as arguments, and sum up their results. This process continues until `n` reaches 0 or 1, which are the base cases.

The recursive approach relies on the fact that Fibonacci numbers can be represented as the sum of the two preceding Fibonacci numbers. By breaking down the problem into smaller subproblems, the function gradually calculates the desired Fibonacci number. However, it is important to note that the recursive solution has exponential time complexity, making it inefficient for large values of `n`. Implementing dynamic programming techniques or memoization can significantly improve the performance of the Fibonacci calculation.

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Answer:

It's angles 2 and 5

Step-by-step explanation:

Supplementary angles or angles that are obtuse or over 90°

Answer:

2.5%

Step-by-step explanation:

Given data

Profit = Euro 20,000,000

Tax paid= Euro 500,000

The percentage tax paid is

% Tax= Tax paid/Profit*100

% Tax= 500,000/20,000,000*100

% Tax=0.025*100

% Tax=2.5

Hence the percentage tax paid is 2.5%

Answer:

1. v = 3

2. y = 2

3. u = 6

Step-by-step explanation:

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

The reason to choose problem B over A is simple -  it is more relatable to them.

Problem A involves dinosaurs, which may be more interesting to students than the abstract concept of creating an area with rope. Additionally, the use of feet as a unit of measurement in Problem A may be more familiar to students than inches.

Finding a number that represents the quantity of anything is called measurement. An accepted quantity that is used to represent a physical quantity is called a measurement unit. Let's learn about some of the standard units used to measure physical quantities.

The inch, foot, yard, and mile are the fundamental units of length and distance measurement in the English system. The rod, furlong, and chain are additional length units.

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Its related to the mixing in the Analysis.

Quantitative data:

They are used when a researcher is trying to quantify a problem, or address the "what" or "how many" aspects of a research question. It is data that can either be counted or compared on a numeric scale.

Qualitative data :

It describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire.

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The image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).

To find the image of a point (0,4) after a 180° counterclockwise rotation about the origin, we can follow these steps:

Therefore, the image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).

By performing a 180° counterclockwise rotation, we essentially mirror the point across the origin, with the y-coordinate changing sign while the x-coordinate remains unchanged.

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A two-way chi-square test is used to determine if there is a significant association between two categorical variables. Therefore, the variables in question should be categorical in nature.

The best example of a pair of variables that would be best tested using a two-way chi-square test would be a relationship between gender (male, female) and smoking status (smoker, non-smoker). In this example, both variables are categorical in nature and each variable has two possible categories. By using a two-way chi-square test, we can determine if there is a significant association between gender and smoking status. Other examples of categorical variables that could be tested using a two-way chi-square test include age group (e.g., 20s, 30s, 40s) and type of exercise (e.g., cardio, weightlifting, yoga).

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Answer:

hmm a good movie for a english or social studies assignment would be Outsiders

Step-by-step explanation:

Answer:

in my opinion the best tv show is supernatural  

Step-by-step explanation:

its about two brothers follow their father's footsteps as hunters, fighting evil supernatural beings of many kinds, including monsters, demons and gods that roam the earth.

but thats probably not the best tv show for a school assignment, id watch these movies instead, the divergent movies, hunger games movies, the 5th wave, feinheight 451, ect....

Answer:

PV= $925

Step-by-step explanation:

Giving the following information:

Money is borrowed at ​8% simple interest. After one​ year, ​$999 pays off the loan.

To calculate the original value of the loan, we need to use the following formula:

PV= FV/(1+i*n)

PV= 999/(1+0.08*1)

PV= $925

'One inch represents 2,000 feet' is a verbal type scale.

The link between a length unit on a map and its corresponding length on the ground is known as the map scale. It will be beneficial for you to carefully study this section because we will use map scale principles throughout the course.

We can use three distinct scales to relate a map to the ground:

'One inch represents 2,000 feet' is an example of a Verbal scale. The relationship between a map distance and a ground distance is expressed verbally using a verbal scale.

Here, it is inferred that one inch on the map corresponds to 2000 feet on the ground. Popular atlases and maps frequently use verbal scales.

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Answer:

A)

Given that,

On each trial, the machine outputs a ball with one of the digits 0 through 9 on it.

To find the probability of getting 6.

In each trail the probability of getting 6 is,

Let X be the event of getting 6.

we get

we get,

where n=50 and r=8

n is the total number of trials

r is the sucess trail.

Substitute the values we get,

Hence the required probability is,

On simplifying we get,

Answer is: 0.06

Answer:

?????

Step-by-step explanation:

The total thickness of Jada's pile of books was 12 inches.

A graph form used to display numerical data is a line plot, commonly referred to as a dot plot. Each data point in a line plot is represented by a dot that is positioned above a number line. Dots that indicate the same value are piled vertically and put above the appropriate value on the number line.

Little to intermediate sized data sets may be displayed using line plots, which enable us to rapidly observe the data's distribution, including its range, frequency, and any outliers.

Two data points on the line plot indicate a set of books that were each one and a half inches thick, indicating that there were two of such types of books.

Four data points on the line plot indicate a set of books that were each 2 1/4 inches thick, indicating that there were four of such types of books.

Total thickness = (2 x 1 1/2) + (4 x 2 1/4)

= 3 + 9

= 12 inches

Hence, the total thickness of Jada's pile of books was 12 inches.

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The acceleration of the sled is 202.54 m/s^2can be determined by calculating the change in velocity divided by the time taken. I

To find the acceleration of the sled, we need to calculate the change in velocity and divide it by the time taken.

The initial velocity is given as 1020 km/h. To convert this to meters per second, we need to multiply it by a conversion factor. Since 1 km/h is equal to 0.2778 m/s, the initial velocity can be calculated as:

Initial velocity = 1020 km/h * 0.2778 m/s = 283.536 m/s

The final velocity is given as 0 km/h, which is equal to 0 m/s.

The time taken is given as 1.40 seconds.

Using the formula for acceleration:

Acceleration = (Final velocity - Initial velocity) / Time taken

Acceleration = (0 m/s - 283.536 m/s) / 1.40 s

Simplifying this expression, we get:

Acceleration = -283.536 m/s / 1.40 s

Calculating this value, we find that the acceleration during this time is approximately -202.54 m/s².

Therefore, the acceleration of the sled, during this time, is approximately -202.54 m/s². The negative sign indicates that the sled is decelerating or slowing down.

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Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B