A continuous random variable X has the following probability density function where k is a constant: f(x) = (ke-(x-2)/2, for x > 2; 0; otherwise. (a) (2 points) Find the value of k. (b) (4 points) By

Answer:

1/10???????????????????????

The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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Answer:

Solve for the input that corresponds to the given output value. (Round answers to three decimal places when appropriate. Enter your answers as a comma-separated list. Note: Even though the question may be completed without the use of technology, the authors intend for you to complete the activity using the technology you will be using.

Step-by-step explanation:

Answer:

hope this helps...

answer in the diagram

The percentage of the slices that were eaten will be 30%.

The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

From the information, it should be noted that each pizza is divided into 10 slices. The total amount of slices eaten will be:

= 1 + 6 + 2

= 9

Total slices = 30

The percentage of the slices that were eaten will be:

= 9 / 30 × 100

= 30%

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Answer:

4.24

Step-by-step explanation:

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

149,610 gallons

Step-by-step explanation:

To answer this question, we need to know the volume of Myron's swimming pool in cubic feet. Let's assume that the volume of Myron's swimming pool is 20,000 cubic feet.

Now we can use the given conversion factor to convert from cubic feet to gallons:

1 cubic foot = 7.48052 gallons

Therefore, the number of gallons of water needed to fill Myron's swimming pool is:

20,000 cubic feet x 7.48052 gallons/cubic foot = 149,610.4 gallons

So it will take approximately 149,610 gallons of water to fill Myron's swimming pool completely.

Answer:

a

=

4.8

Step-by-step explanation:

there

Hope this isn't too confusing

Answer:

The width of the parking is 69 meters

Step-by-step explanation:

Rectangle area = L*W

6279 = 91*W

Widht = 6279/91

W = 69 m

Answer:

Step-by-step explanation:

Given functions:

Linear functions have the form of

Therefore functions 1. and 4. are linear functions, the other two aren't

Answer:

\(p = 52.942259755149776\)

Step-by-step explanation:

This is basic trigonometry.

\( \cos(39) = \frac{e}{22} \)

\(e = \cos(39) \times 22\)

\( \sin(39) = \frac{d}{22} \)

\(d = \sin(39) \times 22\)

And finally perimeter (p):

\(p = 22 + e+ d\)

Answer:

−2(−9x+5)−4x=2(x−5)−4

Step 1: Simplify both sides of the equation.

−2(−9x+5)−4x=2(x−5)−4

(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)

18x+−10+−4x=2x+−10+−4

(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)

14x+−10=2x+−14

14x−10=2x−14

Step 2: Subtract 2x from both sides.

14x−10−2x=2x−14−2x

12x−10=−14

Step 3: Add 10 to both sides.

12x−10+10=−14+10

12x=−4

Step 4: Divide both sides by 12.

12x

12

=

−4

12

x= -1/3

Step-by-step explanation:

Good luck! Hope this helps! <3

Answer :

\(x = - \frac{1}{3} \)

or you can just write x = -0.3

hope this helps!

The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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The price we have to pay for the disc after 10% discount is 1467 dollars.

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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Theprobability of discovering one or fewer surface flaws in a randomly chosen unit is 0.35.

Let X shows the number of surface defects at a randomly selected unit. Here X has Poisson distribution with parameters \(\lambda\) =3. So the probablity of finding one or less surface defects at a randomly selected unit is

\(P(X\leq 1)=\frac{e^{-3}(3)^{0}}{0!}+\frac{e^{-3}(3)^{1}}{1!}=0.199\)

Hence, the required probability is 0.199.

The probability of finding more than 3 defects at a randomly selected unit is

\(P(X > 3)=1-P(X\leq 3)=0.35\)

Therefore, the probability of discovering one or fewer surface flaws at a randomly chosen unit is 0.35.

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Step-by-step explanation:

ANS is 3.47

ok friend

please like and comments

ok

The new limits of integration after applying the substitution u = 4x + π to the integral \(\int\limits^{\pi}_0\) sin(4x+π) dx are π to 5π/4.

To apply the substitution u = 4x + π to the integral \(\int\limits^{\pi}_0\) sin(4x + π) dx, we can start by solving for x in terms of u. This gives us:

u = 4x + π

4x = u - π

x = (u - π)/4

Next, we can substitute this expression for x back into the original integral, using the chain rule to simplify the sine function:

\(\int\limits^{\pi}_0\) sin(4x + π) dx

= \(\int\limits^{\frac{5 \pi}{4}}_{\pi}\) sin(u) (1/4) du

[using the fact that when x = π, u = 4π + π = 5π and when x = π/4, u = π]

Now, the limits of integration have changed from 0 to π to π to 5π/4. This is because the original limits of integration corresponded to x = 0 and x = π, which when substituted into the expression for u, give u = π and u = 5π respectively.

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Complete question is:

What are the new limits of integration after applying the substitution u = 4x+π to the integral ∫0 to π sin(4x+π ) dx?

Answer:

y = (5/3)x +3

Step-by-step explanation:

slope intercept form

Y = mx +b form

so we need to solve the given equation for y

1.  5x-3y =-9

2 . 5x -3y +3y = -9 +3y (adding both sides 3y)

3. 5x = -9 +3y

4. 5x +9 = -9 +9 + 3y (adding 9 to bot sides)

5. 5x +9 = 3y

6. (5/3)x + 9/3 = (3y)/3 ( divide both sides by 3 to get y  alone)

so, the final answer will be

y = (5/3)x +3

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer:

16m^2+40mn+106n^2

Answer: 1,235 is your final answer!

Step-by-step explanation:

First we do what's inside the Parentheses always remember PEMDAS

P-Parentheses

E-Exponent

M-Multiplication

A-Addition

S-Subtraction

So first we do what's inside the brackets!

22-(8-2)+ (1230-11)

22-6+1219

16+1219

1235.

Follow the PEMDAS steps to simplify the answer!

If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x) = log_b(x),\) where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x) = log_b(x)\) is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x)=log_b(x)\). where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x)=log_b(x)\). is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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Please post your question fully !!

Answer:

huh?.............

Step-by-step explanation:

im not smart

Answer:

True

Step-by-step explanation:

You need a place holder in both the dividend and the divisor when dividing polynomials.