Q. What do "zeros" represent?
HELPP

The value of the constant c that makes f(x) a probability density function is 2/9

In order for the function f(x) to be a probability density function, it must satisfy the following two conditions:
1. f(x) is non-negative for all x.
2. The area under the curve of f(x) over the entire range of x must be equal to 1.

From the given function, we can see that f(x) is non-negative for all x, since it is defined as zero for x less than zero and as cx for x between 0 and 3.To determine the value of the constant c that makes f(x) a probability density function, we need to find the value of c that makes the area under the curve equal to 1.

The area under the curve of f(x) from x = 0 to x = 3 can be found by taking the definite integral:
∫(0 to 3) cx dx = [c/2 * x^2] from 0 to 3 = 9c/2

For f(x) to be a probability density function, this area must be equal to 1:
9c/2 = 1

Solving for c, we get:
c = 2/9
Therefore, the value of the constant c that makes f(x) a probability density function is 2/9.

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The derivative of the given function is,\(F'(x)= \frac{-6}{(x+1)^3}\).The derivative of the function F(x) is F'(x).

A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation.

The derivative of the equation is found as;

\(F(x)=\rm x^{-2} \\\\ F'(x) = nx^{n-1} \\\\ F(x)=\ \rm (x+1)^{-2} \\\\ F'(x) = -2(x+1)^{-3} \\\\ F'(x) =\frac{2}{(x+1)^3}\)

The given function is;

\(\rm F(x)= \frac{3}{(x+1)^2} \\\\ F'(x)= \frac{-6}{(x+1)^3}\)

Hence, the derivative of the given function is,\(F'(x)= \frac{-6}{(x+1)^3}\).The derivative of the function F(x) is F'(x).

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Answer:

83,886,086  hope its right

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here, we want to reflect over the y-axis

by reflection over the y-axis, (x,y) becomes (-x,y)

Thus, we simply are going to negate the x values of the points given

So the correct answers are;

P’(4,-8)

Q’ (6,6)

R’ (-1,-7)

Answer:

8

Step-by-step explanation:

9-8=1

1x8=8

Answer:

\(131=6w\)

Step-by-step explanation:

\(l=length\\\\w=width\\\\\Longrightarrow l=2w\\\\\Rightarrow Perimeter=l+l+w+w\\\\P=2l+2w\\\\P=2(2w)+2w\\\\P=4w+2w\\\\P=6w\\\\P=131\\\\131=6w\\\\w=\frac{131}{6}\\\\w=21.8\overline{3}\\\\l=43.\overline{6}\)

Answer:

A) l = 2 * w

B) 131 = 2l + 2w

B) 2l = 131 -2w

B) l = 65.5 -w

Substituting this into A)

65.5 -w = 2w

3w = 65.5

width = 21.8333333333

length = 43.6666666666

Double - Check

131 = 2 * 21.833333333 + 2 * 43.6666666666

131  = 43.6666666  + 87.33333333

131 = 131

Step-by-step explanation:

It is difficult to estimate the exact percentage of adult Americans who feel this way without further information, however 63% is a good indication that the majority of adult Americans favor capital punishment.

Based on the data provided, it is reasonable to assume that the majority of adult Americans favor capital punishment. This is supported by the survey results which show that 63% of respondents favor capital punishment (63.2% favor capital punishment; gss, 2018). However, without further information such as the survey sample size and what demographics were surveyed, it is difficult to estimate the exact percentage of adult Americans who feel this way. Nonetheless, the survey results indicate that the majority of adult Americans are in favor of capital punishment.

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Answer:

B: 8 7/8 Lbs

Step-by-step explanation:

answer = \(15\frac{1}{8} -3\frac{1}{2} -2\frac{3}{4}\)

step 1 find a common denominator

common denominator - 8

* apply *

\(\frac{1^*^1}{8^*^8} =\frac{1}{8} \\\\\frac{1^*^4}{2^*^4} =\frac{4}{8} \\\\\frac{3^*^2}{4^*^2} =\frac{6}{8}\)

now we have

\(15\frac{1}{8} -3\frac{4}{8} -2\frac{6}{8}\)

step 2 make each fraction a improper fraction

We can do this my multiplying the big number by the denominator and adding that to the numerator.

\(15*8=120\\120+1=121\\\frac{121}{8} \\\\3*8=24\\24+4=28\\\frac{28}{8} \\\\2*8=16\\16+6=22\\\frac{22}{8}\)

now we have

\(\frac{121}{8} -\frac{28}{8} -\frac{22}{8}\)

Now we can subtract

remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )

so 121 - 28 - 22 = 71

so the answer is \(\frac{71}{8}\)

finally we want to change the answer back into a mixed fraction

To do this we divided 71 and 8

8 can go into 71 8 times

8 * 8 = 64

71 - 64 = 7

We're left with \(8\frac{7}{8}\)

False. The Six Sigma DMAIC approach is one of many problem-solving methods that can be used, and is most appropriate when the problem is complex and the potential solutions are not immediately evident.

Six Sigma DMAIC (define, measure, analyze, improve, control) is a strategy used to improve processes and products. It is designed to help companies identify and eliminate defects and reduce variability in their processes. It is not the best way to attack all problems, as there are many other problem-solving methods, such as Design Thinking and Lean, that may be more suitable solution depending on the complexity of the problem.

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Answer:

it must be 21

Step-by-step explanation:

I have very fast I think giving test just thank the answer after test mark me brainliest

Answer:

$2.80

Step-by-step explanation:

14.00 for 5 mangos and 8 oranges

14/5=2.8 for each mango

2.8+1.50=4.30

the answer is $3.88

Step-by-step explanation:

because the ice cream was $4.00 and they subtracted it by 12% which would be $4.00 minus .12 which would give you $3.88

Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.

To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.

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Answer:

363.741 feet

Step-by-step explanation:

Let the height of the cliff be represented by x. Applying the appropriate trigonometric function, we have;

Tan θ = \(\frac{opposite side}{adjacent side}\)

Tan \(60^{0}\) = \(\frac{x}{210}\)

cross multiply to have;

   x = 210 × Tan \(60^{0}\)

      = 210 × 1.7321

      = 363.741

The cliff is 363.741 feet high.

c

The domain of the function is all real numbers greater than or equal to 0.

The range of the function is all real numbers greater than or equal to −1.

The range of the function is all real numbers less than or equal to 0.

The domain of the function is all real numbers less than or equal to 0

Answer:

  T/V = P/(nR)

Step-by-step explanation:

You want to find T/V from the equation PV = nRT.

T is in the numerator of the ratio you want. V is on the other side of the equation from T, so you can put V in the denominator by dividing both sides of the equation by V:

  \(P=\dfrac{nRT}{V}\)

Now, you can get the ratio T/V by itself by dividing by its coefficient:

  \(\dfrac{P}{nR}=\dfrac{T}{V}\)

Swapping sides gives you the relation you want:

  \(\boxed{\dfrac{T}{V}=\dfrac{P}{nR}}\)

__

Additional comment

Isolating variables and solving equations using the properties of equality should be familiar processes.

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Answer:

$24.27

Step-by-step explanation:

Original price: $

34.99

Discount percentage:

25

%

Results

Discount:

$8.75

Final Price:

$26.24

Details

Discount = Original Price x Discount %/100

Discount = 34.99 × 25/100

Discount = 34.99 x 0.25

You save = $8.75

Final Price = Original Price - Discount

Final Price = 34.99 - 8.7475

Final Price = $26.24

- 7.5% = $24.27

The cost of the sweater after a 25% of discount and 7.5% of sales tax will be 28.21.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A sweater priced at 34.99 is on sale for 25% off. Then the cost after the discount is calculated as,

⇒ (1 - 0.25) x 34.99

⇒ 26.24

If the sales tax is 7.5%. Then the cost after the sales tax is given as,

⇒ (1 + 0.075) x 26.2425

⇒ 28.21

The cost of the sweater after a 25% of discount and 7.5% of sales tax will be 28.21.

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Answer:

It will take 50 seconds for the pebble to reach the height

Step-by-step explanation:

To calculate the time, simple substitute h(t) for 32,500

So we have

32,500 = 20,000 + 5t^2

5t^2 = 32,500-20,000

5t^2 = 12500

t^2 = 12500/5

t^2 = 2500

t = square root of 2500

t = 50 seconds

The total budgeted costs for Chelsea Clinic is $1,850,000 (option b).

The total budgeted costs for Chelsea Clinic can be calculated by adding up the variable costs and the fixed costs.

1. Calculate the total number of visits: 90,000 visits.

2. Determine the payer mix for the visits:
- Blue Cross: 40% of total visits.
- Highmark: 60% of total visits.

3. Calculate the number of visits for each payer:
- Blue Cross visits: 40% of 90,000 visits = 36,000 visits.
- Highmark visits: 60% of 90,000 visits = 54,000 visits.

4. Calculate the total reimbursement for each payer:
- Blue Cross reimbursement: $25 per visit.
Total Blue Cross reimbursement = $25 x 36,000 visits = $900,000.
- Highmark reimbursement: $20 per visit.
Total Highmark reimbursement = $20 x 54,000 visits = $1,080,000.

5. Calculate the total variable costs:
- Labor: 48,000 total hours x $25.00 per hour = $1,200,000.
- Supplies: 100,000 total units x $1.50 per unit = $150,000.

6. Calculate the total fixed costs: $500,000.00.

7. Add up the variable costs and the fixed costs:
Total variable costs = $1,200,000 + $150,000 = $1,350,000.
Total budgeted costs = Total variable costs + Total fixed costs.
Total budgeted costs = $1,350,000 + $500,000 = $1,850,000.

Therefore, the total budgeted costs for Chelsea Clinic is $1,850,000 (option b).

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When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

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The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

Answer:

60 miles per hour

Step-by-step explanation:

We need to simply divide the total distance he traveled by the total time it took him.

At 10:00 AM, he is 200 miles from New York.

At 12:00 PM, he is 80 miles from New York.

This means that 2 hours has elapsed and the distance he has traveled is:

200 - 80 = 120 miles

Therefore, his average speed is:

120 / 2 = 60 miles per hour

Answer:

12

Step-by-step explanation:

3x+5+49=90

3x+54=90

3x=90-54

3x=36

3x/36/3

x=12

the probability of the sample average number of strokes exceeding 4.75 using the historical mean and standard deviation is approximately 0.0062, or 0.62%.

To determine the probability of the sample average number of strokes exceeding 4.75, we can use the Central Limit Theorem and the properties of the normal distribution.

Given that the historical mean number of strokes for the hole is 4.25 and the standard deviation is 1.6, we can consider the distribution of sample means for samples of size 64. The mean of the sample means will still be 4.25, and the standard deviation of the sample means (also known as the standard error) can be calculated by dividing the population standard deviation by the square root of the sample size.

The standard error = 1.6 / √64 = 1.6 / 8 = 0.2

Now, we can convert the sample average number of strokes of 4.75 to a z-score using the formula:

z = (x - μ) / σ

where x is the sample average number of strokes, μ is the population mean, and σ is the standard error.

z = (4.75 - 4.25) / 0.2 = 0.5 / 0.2 = 2.5

Next, we need to find the probability of the sample average number of strokes exceeding 4.75, which is equivalent to finding the probability of obtaining a z-score greater than 2.5.

Using a standard normal distribution table or a statistical software, we can look up the probability associated with a z-score of 2.5. The probability is approximately 0.0062.

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Answer:

1. 18

2.3 and 3/4

3.6 and 1/4

Step-by-step explanation:

3 by 6 equals 18 since 12 divided by 2 is 6

15 divided upon 4 is 3.75 or 3 3/4

50 divided by 8 equals 6.25 or 6 1/4

The speed of the boat in still water is 8 miles per hour.

Let's call the speed of the boat in still water "x" (in miles per hour).

When Mackenzie rows downstream, the current is helping her, so the effective speed of the boat is (x + 4) miles per hour. The distance traveled is 96 miles. We can use the formula:

distance = rate × time

to set up an equation for the downstream trip:

96 = (x + 4) t

where "t" is the time (in hours) it takes for the downstream trip.

For the upstream trip, the current is working against Mackenzie, so the effective speed of the boat is (x - 4) miles per hour. The distance traveled is still 96 miles, but this time the trip takes 16 hours longer than the downstream trip. So we can set up another equation:

96 = (x - 4) (t + 16)

Now we have two equations with two unknowns (x and t). We can solve for t in the first equation and substitute into the second equation:

96 = (x - 4) (t + 16)

96 = (x - 4) (96/(x + 4) + 16)

Simplifying, we get:

96 = (x - 4) (96/(x + 4) + 16)

96 = 96(x - 4)/(x + 4) + 16(x - 4)

96(x + 4) = 96(x - 4) + 16(x + 4)(x - 4)

96x + 384 = 96x - 384 + 16(x^2 - 16)

96x + 384 = 96x - 384 + 16x^2 - 256

16x^2 = 256 + 384 + 384

16x^2 = 1024

x^2 = 64

x = 8

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the perpendicular is 2√7, and the trigonometric function values are:

sinθ = √7/4,cosθ = 3/4,tanθ = 2√7/6

How to solve Pythagoras theorem?

We can use the Pythagorean theorem to find the length of the perpendicular in the triangle:

Perpendicular² + Base²= Hypotenuse²

Perpendicular² + 6² = 8²

Perpendicular² = 8² - 6²

Perpendicular²= 64 - 36

Perpendicular² = 28

Perpendicular = √28

Perpendicular = 2√7

Now we can use the definitions of the trigonometric functions to find their values:

sinθ = perpendicular/hypotenuse

sinθ = 2√7/8

sinθ = √7/4

cosθ = base/hypotenuse

cosθ = 6/8

cosθ = 3/4

tanθ = perpendicular/base

tanθ = 2√7/6

cotθ = 1/tanθ

cotθ = 6/2√7

cotθ = 3√7/7

secθ = 1/cosθ

secθ = 4/3

cscθ = 1/sinθ

cscθ = 4/√7

cscθ = (4/√7) * (√7/√7)

cscθ = 4√7/7

Therefore, the perpendicular is 2√7, and the trigonometric function values are:

sinθ = √7/4

cosθ = 3/4

tanθ = 2√7/6

cotθ = 3√7/7

secθ = 4/3

cscθ = 4√7/7

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Answer:

Hiiiiiiiiiiiiii iiiiiiiiiiiiiiii

Answer :

The time it will take to travel a distance of 225km is t = 9 h

What is MRU?

 MRU are the acronyms that define the uniform rectilinear movement which is the movement that maintains a variation of the distance with respect to time always constant since the acceleration is null.

We will calculate the speed you have in cyclist with the initial data of traveling a distance of 125km in a time of 5 hours:

Speed = distance / time

Speed = 125km/5h

Speed = 25 km/h

We now determine a time for a 225km course

25 km/h = 225km/t

t = 225km / 25km/h

t = 9 h

Answer:

$16.8976 is the answer :> mark brainliest