we want to determine the probability of obtaining at most 4 successful operations in 10 independent surgical operations where the probability of success is the same for each operation. the appropriate formula to be used is

Answer:

The 7th term of the geometric sequence 5, 15, 45, 135... is 3,645. a7 = 5 • 3^(7-1); a7 = 5 • 729; a7 = 3645

Step-by-step explanation:

sorry if it becomes wrong answer

Answer:

Step-by-step explanation:

the sequence has a rule of n*3

5*3=15

15*3=45

45*3=135

135*3=405

405*3=1215

1215*3=3645

Answer:

57.8 or 57 and four fifths

Step-by-step explanation:

5+14=19

19*3=57

57+0.8= 57.8

Answer:

d.81

Step-by-step explanation:

81 can be represented by a 9x9 square grid. The rest of the numbers would be represented on rectangular grids.

Answer:

D. 81

Step-by-step explanation:

81 can be represented by 9X9 square grid

9^2 = 81

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

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Answer:

19

Step-by-step explanation:

If the number of skits is x we can write:

9x + 5 = 176

9x = 171

x = 19

Answer:

You're right, It's option B.

Step-by-step explanation:

The expressions both share two common factors that are whole numbers; 9 and 6. Use those.

9: 1, 3, 9

6: 1, 2, 3, 6

Answer:

Step-by-step explanation:

-5x - 2 = 11

-5x = 13

x = -13/5

x = -2.6

Answer:

2689.78

Step-by-step explanation:

FV = PV ( 1 + \(\frac{r}{m}\))^mn

FV = Future value  

P = Present value  = 2000

R = interest rate   = 10%

N = number of years  = 3

M = number of compounding  = 4

2000 x (1 + 0.1/4)^4x3 = 2689.78

C.) T=15x+75

its 15 dollars each month and since you don't know the number of months the variable would correspond with 15 and you just need to add 75 onto it

Answer:

C. t = 15x + 75

Step-by-step explanation:

since you already payed the 75 dollars you add it and you multiply 15 by x because x is the number of months you pay

For question 3, the unique solution is guaranteed if yo = 3. For question 5, the solution is lnx + In(y-x) = c. For the last question, the solution is y = x - 1 + ce^(-x).

For question 3, the initial value problem y' = √(x²-9), y(x) = yo has a unique solution guaranteed by Theorem 1.1 if yo = 3. The reason is that the square root expression inside the differential equation is only defined when x²-9 is non-negative. Since the square root of a negative number is undefined in the real number system, yo cannot be any value that results in x²-9 being negative. Therefore, yo = 3 is the only valid choice.

For question 5, the given differential equation (x-2y)dx + ydy = 0 can be solved by integrating. By integrating the left-hand side of the equation, we obtain the solution lnx + In(y-x) = c, where c is the constant of integration. This is the correct answer (b).

For the last question, the differential equation y' + y = x can be solved using the method of integrating factors. Multiplying both sides of the equation by e^x, we get e^x * y' + e^x * y = xe^x. The left-hand side can be rewritten as (e^x * y)' = xe^x. Integrating both sides with respect to x, we have e^x * y = ∫xe^xdx = x * e^x - e^x + c. Dividing both sides by e^x, we get y = x - 1 + ce^(-x). Therefore, the correct answer is (b), y = x - 1 + ce^(-x).

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under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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Answer:

73 has exactly 2 factors

Step-by-step explanation:

hope this helps, pls mark brainliest :D

Answer:

The number must also be a multiple of 4,2,1

Step-by-step explanation:

To find the missing number, we need to find the factors of 8

8 = 4*2*1

The number must also be a multiple of 4,2,1

Answer:

1, 2 and 4 (in increasing order)

Step-by-step explanation:

Your number must also be a multiple of 1 (which every single number is), 2 (every even number is a multiple of 8, since 8 is even, it's a multiple of 2), and 4.

Let's think about the factors of 8, or numbers that you can divide evenly into 8 and get a natural number.

These are:

1

2

4

So these three are the numbers that your number's a multiple of.

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The average number of pending USCIS immigration cases is 3,969,000 cases.

To know average number of pending USCIS immigration cases, we will calculate number of cases pending at any given time.

This will be done by multiplying the average processing time by the average number of cases processed per year.

Given:

Average number of immigration cases processed per year = 6.3 million cases

Average processing time = 0.63 years

The number of pending cases:

= Average processing time * Average number of cases processed per year

= 0.63 years * 6.3 million cases

= 3,969,000 cases

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Answer:

220 miles

Step-by-step explanation:

For 1 week=7 days

So  that means $35*7=245

300-245=55

$55/.25= 220 miles

Answer:

2,000 miles

Step-by-step explanation:

All you need is how many miles Maxine can drive for 500 dollars, so you can disregard the 45 dollar charge. you would just do $500 divided by $0.25, which gets you 2,000.

The angle values that satisfy sin x = -0.39 are

In the question we were given that

sin x = -0.39

we find the angle by using the inverse sine function or arc sin on a calculator:

arc sin -0.39 = -23.45 degrees

sin functions are negative in the fourth and third quadrant hence we move the angle to these quadrants

Third quadrant: 180 + 23.45 = 203.45 degrees

fourth quadrant: 270 + 23.45 = 293.45 degrees

Therefore, the two angle values that satisfy sin x = -0.39 are approximately 203.45 degrees and 293.45 degrees

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Answer: \(\frac{20}{24}\)

Multiply each sides of the fraction (numerator/denominator) by 4.

5 x 4 = 20, 6 x 4 = 24

Make a fraction out of 20 and 24.

20/24 = \(\frac{20}{24}\)

Make sure the fraction is correct, by adding.

20 + 24 = 44

Answer = 44

Answer:

Discrete data

Step-by-step explanation:

Discrete data is information that can only take certain values.

Answer:

1/4 OR 0.25

Step-by-step explanation:

The probability for rolling any even number on that six sided cube is 1/2. (2, 4, 6).

Therefore,

(Probabilty of choosing an even number) • (Probabilty of choosing an even number) = (Probabilty of choosing an even number twice)  

1/2 • 1/2 = 1/4

This can also be proven by doing a probability table wich takes 10 times longer than this quick equation. Any problems you have that follow this wording should be solved by using an equation like the one above.

NOTE: If the problem stated “what is the probability of getting an even number the first roll and a different even number on the second roll?” this would be solved as so:

1/2 • 1/3 = 1/6

This is because after one even number is chosen, the probabilty of choosing an even number drops by 1/6, which causes the probability for choosing any even number to change to 1/3.

Doubt --!!

Where is your question!??????

Answer:

\(m=-2\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 0)

Point (-3, 4)

Step 2: Find slope m

Answer: i see you got the answer already, but I was wondering if you could give me brainliest to help me level up. I would really appreciate it.

Step-by-step explanation:

The probability that both Product A and Product B will be successful is 0.48 or 48%.

To calculate the probability that both Product A and Product B will be successful, we need to multiply the individual probabilities of success for each product, since their success is independent of each other.

Step 1: Identify the probability of success for Product A and Product B.
- Product A: 60% (0.6)
- Product B: 80% (0.8)

Step 2: Multiply the probabilities of success for both products.
- Probability of both being successful = (Probability of Product A success) × (Probability of Product B success)
- Probability of both being successful = (0.6) × (0.8)
P(A and B) = P(A) x P(B)

P(A) = 0.6 (given in the information)

P(B) = 0.8 (given in the information)

P(A and B) = 0.6 x 0.8 = 0.48

Step 3: Calculate the result.
- Probability of both being successful = 0.48

Therefore, the probability that both Product A and Product B will be successful is 48%.

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Using translation concepts, it is found that the type of transformation that triangle X′Y′Z′ undergoes is a reflection over the x-axis.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

From triangle X′Y′Z′ to triangle X′′Y′′Z′′, the rule is given by:

(x,y) -> (x, -y)

Hence the type of transformation that triangle X′Y′Z′ undergoes is a reflection over the x-axis.

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Answer:

13A + 1

Step-by-step explanation:

Combine like terms. Like terms are terms that have the same amount of the same variable:

Set the expression:

12A + A + 2 - 1

(12A + A) + (2 - 1)

13A + 1

13A + 1 is your answer.

~

Hey there!

12a + 2 + a - 1

COMBINE the LIKE TERMS

= (12a + 1a) + (2 - 1)

= 12a + 1a + 2 - 1

= 13a + 1

Therefore, your answer is: 13a + 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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The amount that Mark should pay for his annual liability insurance premium given the table is $ 1, 946 .

The amount that Mark should pay for his annual liability insurance premium is based on his base rate as a 19 year old .

The formula for the annual liability insurance premium is :

=  ( Rating factor of Age - 2) x Base rate

= ( 3. 80) x 512

= $ 1, 946

In conclusion, the annual liability insurance premium to be paid by Mark who is 19, would be $ 1, 946.

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The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.