Let X and Y be independent continuous random variables with hazard rate functions Ax (t) and Ay(t), respectively. Define W = min(X,Y). (a) (3 points) Determine the cumulative distribution function of

Answer: See explanation

Step-by-step explanation:

Point slope form: y - y₁ = m (x - x₁)

y₁ = 6

x₁ = -7

y - 6 = -1 (x - [-7])

y - 6 = -1 (x + 7)

y - 6 = -1x - 7

Add 6 to both sides

y = -1x - 1    or    y = -x -1

Slope intercept form: y = mx + b

m = -1

b = 6

y = -1x + 6  or   y = -x + 6

Standard form: Ax + By = C

Change slope intercept form into _x + _y = c

Slope intercept form: y = -x + 6

Standard form:

y = -x + 6

Add x to both sides

x + y = 6    or   -x - y = -6

Hope I helped!

When using a significance level of 0.1, the probability of making a Type I error is closely associated with that level. In this case, the probability of committing a Type I error, which means incorrectly rejecting a true null hypothesis, is 10% or 0.1.

When conducting a hypothesis test, the significance level is the probability of rejecting the null hypothesis when it is actually true. In other words, it is the probability of making a type I error.

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Answer: x - 5.6 = 76.9

Step-by-step explanation:

The number June thought of would give a result of 76.9 if 5.6 were subtracted from it.

Assume that number is x.

If you subtract 5.6 from x, you would get 76.9.

Equation is therefore:

x - 5.6 = 76.9

Solving for x would make x:

x - 5.6 = 76.9

x = 76.9 + 5.6

x = 82.5

Answer: m<1 refers to the measure of an angle in a plane. The symbol < indicates that it is a smaller angle than a right angle which has a measure of 90 degrees. The value of m<1 is the measure of that angle in degrees.

36°, 70 degree and 1 degree are all measures of angles, but they are not necessarily the measure of m<1. Without any further context or information, it is not possible to say what m<1 is equal to.

Step-by-step explanation:

Answer:

When you multiply two numbers with different signs (positive and negative), the result is always negative.

This can be understood in terms of the basic properties of multiplication and the fact that a negative number is essentially the opposite of a positive number. When you multiply a positive number by a positive number, the result is positive because both numbers are pointing in the same direction along the number line. When you multiply a negative number by a negative number, the result is also positive because both numbers are pointing in the opposite direction along the number line, and multiplying them together "flips" them back to the positive side. However, when you multiply a positive number by a negative number, the two numbers are pointing in opposite directions along the number line, and so their product is negative.

Therefore, the rule for multiplying two numbers with different signs is that the product is always negative.

Step-by-step explanation:

Step-by-step explanation:

there arent any shapes given

umm ?

Given the data set of the number of miles that Monica walked each day, the summary is :

First sort the numbers into ascending order:

3. 2, 3. 8, 4. 1, 4. 2, 4. 7, 5, 5. 8

Min is smallest value in the data set.

Min = 3.2

Max is the largest value in the data set.

Max = 5.8

The median is the middle number which we can see to be 4. 2 .

The Q1 is the first quartile which would be:

lower half is 3.2, 3.8, and 4.1 = 3 . 8

The Q3 is the third quartile and would be the upper half is 4.7, 5, and 5.8. Q3 = 5

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The area of the shaded region is 82π - 68. Answer: 82π - 68

Given: The provided figure. We need to find the total area of the shaded region.

Step 1: Let us calculate the area of the triangle 8-10-18We have a= 8, b= 10, and c=18S = (a + b + c)/2 = (8+10+18)/2 = 18s = 18Area of triangle = sqrt(s(s-a)(s-b)(s-c))= sqrt(18*10*8*2) /4= 24

Step 2: Area of the shaded region

Area of sector OAB + Area of sector OCD + Area of Triangle ABC + Area of Triangle ADC - Area of Quadrilateral BPCD and Area of Quadrilateral APQO(3/4 π r²) + (5/4 π r²) + 48 + 36 - 128 and 24(3/4 π 12²) + (5/4 π 12²) + 48 + 36 - 128 and 24 =  27π + 55π + 48 + 36 - 128 and 24= 82π - 68

The area of the shaded region is 82π - 68.

Answer: 82π - 68

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From the calculation, all three inequalities are satisfied, which means that the given measurements produce one triangle.

To determine whether the given measurements produce one triangle, two triangles, or no triangle at all, we can use the Law of Sines and the Triangle Inequality Theorem.

Given:

a = 10

b = 13.6

A = 33°

Determine angle B:

Angle B can be found using the equation: B = 180° - A - C, where C is the remaining angle of the triangle.

B = 180° - 33° - C

B = 147° - C

Apply the Law of Sines:

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

a/sin(A) = b/sin(B) = c/sin(C)

We can rearrange the equation to solve for side c:

c = (a * sin(C)) / sin(A)

Substituting the given values:

c = (10 * sin(C)) / sin(33°)

Determine angle C:

We can use the equation: C = arcsin((c * sin(A)) / a)

C = arcsin((c * sin(33°)) / 10)

Apply the Triangle Inequality Theorem:

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

In this case, we need to check if a + b > c, b + c > a, and c + a > b.

If all three inequalities are satisfied, it means that the measurements produce one triangle. If one of the inequalities is not satisfied, it means no triangle can be formed.

Now, let's perform the calculations:

B = 147° - C (from step 1)

c = (10 * sin(C)) / sin(33°) (from step 2)

C = arcsin((c * sin(33°)) / 10) (from step 3)

Using a calculator, we find that C ≈ 34.65° and c ≈ 6.16.

Now, let's check the Triangle Inequality Theorem:

a + b > c:

10 + 13.6 > 6.16

23.6 > 6.16 (True)

b + c > a:

13.6 + 6.16 > 10

19.76 > 10 (True)

c + a > b:

6.16 + 10 > 13.6

16.16 > 13.6 (True)

All three inequalities are satisfied, which means that the given measurements produce one triangle.

In summary, with the given measurements of a = 10, b = 13.6, and A = 33°, we can determine that one triangle can be formed. The measures of the angles are approximately A = 33°, B ≈ 147° - C, and C ≈ 34.65°, and the lengths of the sides are approximately a = 10, b = 13.6, and c ≈ 6.16.

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Answer:

57cm^3

i belive this is right.

Answer:

129.3 feets

Step-by-step explanation:

Using the solution diagram attached below :

The difference in height of the two buildings :

Building B - Building A = (654 - 480) = 174 feets

Using trigonometry :

Cosθ = opposite / Adjacent

Cos 42 = d / 174

d = 174 * Cos 42

d = 129.307

d = 129.3 feets

The price of one ticket is $150 without the discount.

Discounts are defined as lowered prices or the sale of an item for less than it would typically cost. A pocketbook offered at 50% off the regular price or a shop that specializes in selling designer goods at below-market pricing are two examples of things that might be considered discounts.

Given Data

$30 discount on each world-series baseball game ticket.

They spent $840 for the seven tickets.

7 tickets = $840

1 ticket = \(\frac{840}{7}\)

1 ticket = $120

Price of 1 ticket = $120 + $30

Price of 1 ticket = $150

The price of one ticket is $150 without the discount.

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Answer:

6r = 12d

Step-by-step explanation:

The diameter is two times the radius.

We know that the radius is 6.

6 x 2 = 12

12 is the diameter!!!

Can I get Brainliest? Plz?

The binomial 7x + 1 is equal to the trinomial 3x^2 - 2x + 1 when x equals 1.

To find the values of x for which the binomial 7x + 1 is equal to the trinomial 3x^2 - 2x + 1, we can set them equal to each other and solve for x:

7x + 1 = 3x^2 - 2x + 1

Combining like terms, we have:

3x^2 - 9x = 0

Factoring out x, we get:

x(3x - 9) = 0

Setting each factor equal to zero, we have two possible solutions:

x = 0 or 3x - 9 = 0

For x = 0, the binomial becomes 7(0) + 1 = 1, which is not equal to the trinomial.

For 3x - 9 = 0, we solve for x:

3x = 9

x = 3

For x = 3, the binomial becomes 7(3) + 1 = 21 + 1 = 22, which is equal to the trinomial 3(3^2) - 2(3) + 1 = 27 - 6 + 1 = 22.

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Answer:

25 hours per week

Step-by-step explanation:

Step one:

given data

Suri makes $15 per hour and gets a weekly bonus of $25

Juan makes $14 per hour and gets a weekly bonus of $50.

Let the number of hours worked be x

and let the total earned be y

For Surl

The expression for the total is

y= 25+15x-----------1

For Juan

The expression for the total is

y= 50+14x-----------2

Step two:

Equate the two expressions we have

25+15x=50+14x

collect like terms we have

25-50= 14x-15x

-25= -x

x= 25

Yes its is possible that they earned the same amount if they work for 25 hours

There were 9 × 9⁶ bacteria in the dish on the 7th day of the experiment.

In a geometric sequence, each term is found by multiplying the previous term by a constant factor, called the common ratio.

In this problem, we have the first term (9 bacteria) and the 10th term (3²⁰ bacteria). To find the common ratio, we can use the formula:

Tₙ = T₁ × r⁽ⁿ⁻¹⁾

where Tₙ is the nth term, T₁ is the first term, r is the common ratio, and n is the position of the term.

Plugging in the known values for the 10th term, we get:

3²⁰ = 9 × r⁽¹⁰⁻¹⁾ 3²⁰ = 9 * r⁹

Now, we need to solve for the common ratio (r).

Divide both sides by 9:

3²⁰ / 9 = r⁹

3¹⁸ = r⁹

Take the 9th root of both sides to get:

r = 3²

r = 9

Now that we have the common ratio, we can find the number of bacteria on the 7th day by plugging the values into the formula:

T₇ = 9 ×9⁽⁷⁻¹⁾

T₇ = 9 ×9⁶

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Answer:

the amount of pages (p) required to break even as the office store

The best estimate for the total amount of time Tim would spend answering e-mails over the course of 100 days is 100 hours with a standard deviation of 0.53 hours.

To find the total amount of time Tim would spend answering emails over the course of 100 days, we need to use the concept of the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approaches a normal distribution regardless of the underlying distribution.

To calculate the standard deviation of the total amount of time Tim spends answering emails over 100 days, we can use the formula:

standard deviation = square root of (n * variance)

where n is the number of days and variance is the variance of the amount of time Tim spends in a day answering emails.

Substituting the values, we get:

standard deviation = square root of (100 * 0.0028) = 0.53 hours

Therefore, Tim would spend an average of 100 hours over the span of 100 days responding to emails, with a standard deviation of 0.53 hours, according to the best estimate.

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Answer:

x = \(\frac{-47}{63}\)

Step-by-step explanation:

Answer: x= -49

explanation: trust me bro

Answer: c

Step-by-step explanation:

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

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Answer:

a. 3 units

Step-by-step explanation:

The length of BC can be found in 3 main steps, namely the formation of equations, solving for x and substitution.

Let's rewrite the given lengths:

AB= 4x +1 -----(1)

BC= 2x -7 -----(2)

AC= 24 -----(3)

Form an equation which relates the 3 lengths:

Given that B is between A and C,

AC= AB +BC -----(4)

Substituting equations (1) to (3) to equation (4):

24= 4x +1 +2x -7

Simplify:

24= 6x -6

Add 6 to both sides:

6x= 24 +6

6x= 30

Divide both sides by 6:

x= 5

Substitute x= 5 into (2):

BC

= 2x -7

= 2(5) -7

= 10 -7

= 3 units

Thus, option a is correct.

Additional:

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The final answer to the double integral ∫∫ 2² dy de by reversing the order of integration is (2²e + C) * (d - c).

The double integral can be evaluated by reversing the order of integration, considering the limits and performing the calculations accordingly. In this case, we have the double integral ∫∫ 2² dy de. Let's work through the steps to evaluate it.

To reverse the order of integration, we need to switch the order of the variables and redefine the limits accordingly. In the original integral, the inner integral is with respect to y, and the outer integral is with respect to e. By reversing the order, the inner integral will be with respect to e, and the outer integral will be with respect to y.

The limits of integration for the original integral are not specified, so let's assume that the limits for e are a to b, and the limits for y are c to d.

Reversing the order of integration, the new integral becomes:

∫∫ 2² dy de = ∫ from c to d (∫ from a to b 2² de) dy

Now, let's evaluate the inner integral ∫ 2² de with respect to e:

∫ 2² de = 2²e + C

Substituting this result back into the double integral, we have:

∫ from c to d (2²e + C) dy

Integrating with respect to y, we get:

(2²e + C) * (y)| from c to d

Plugging in the limits of integration, we have:

[(2²e + C) * d] - [(2²e + C) * c]

Simplifying further, we get:

(2²e + C) * (d - c)

Therefore, the final answer to the double integral ∫∫ 2² dy de by reversing the order of integration is (2²e + C) * (d - c).

In summary, by reversing the order of integration and redefining the limits, we evaluated the double integral ∫∫ 2² dy de. The resulting expression (2²e + C) * (d - c) represents the value of the integral, where e, c, and d are the corresponding limits of integration, and C is the constant of integration.

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Using L'Hopital's rule (a) Limit along x=0 is o (b) Limit along \(x = y^3\) is 1/2 (c) Limits along paths x = 0 and\(x = y^3\) are not equal, f is not continuous at (0,0)

A mathematical method called L'Hopital's rule is used to determine the limit of an indeterminate form of a fraction of two functions at a specific location. It claims that, in some circumstances, the limit of the ratio of two functions can be discovered by taking the derivative of the numerator and denominator individually, evaluating the resulting quotient at the point of interest, and repeating this process for the other function. This rule can be used in calculus to evaluate limits that are challenging or impossible to solve via direct substitution.

Using L'Hopital's rule :

(a) To compute the limit as (x, y) → (0, 0) of f along the path x = 0, we can substitute x = 0 into the function f(x, y):

\(f(x, y) = (0 * y^3) / (0^2 + y^6) = 0 / y^6 = 0\)

The limit as (x, y) → (0, 0) along the path x = 0 is 0.

(b) To compute the limit as (x, y) → (0, 0) of f along the path\(x = y^3\), we can substitute x = y^3 into the function f(x, y):

\(f(x, y) = (y^3 * y^3) / (y^6 + y^6) = y^6 / (2y^6) = 1/2\)
The limit as (x, y) → (0, 0) along the path\(x = y^3\) is 1/2.

(c) Since the limits as (x, y) → (0, 0) of f along the paths x = 0 and\(x = y^3\) are not equal (0 ≠ 1/2), f is not continuous at (0, 0).

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The correct answer is C. 90% of the 5 observed customers 10 minutes before the movie starts can be expected to spend between $5.88 and $7.72 at the concession stand.

To interpret the 90% prediction interval of $5.88 to $7.72 for a concessions customer 10 minutes before the movie starts, we can choose the appropriate interpretation from the given options.

The correct interpretation is

C. 90% of the 5 observed customers 10 minutes before the movie starts can be expected to spend between $5.88 and $7.72 at the concession stand.

In this context, a 90% prediction interval means that if we were to take a random sample of customers who arrive 10 minutes before the movie starts, we can expect that 90% of the time, the sales per person at the concession stand would fall within the interval of $5.88 to $7.72.

Since the given regression model is based on observed data, the prediction interval provides an estimate of the range in which the sales per person for future customers are likely to fall. The interval is constructed in such a way that it captures the expected variation in sales based on the regression model.

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For the given function, the domain and range are:

So the correct option is D.

A function y = f(x) maps the inputs x into outputs y, such that the elements x belong to the set called the domain, while the outputs belong to the set called the range.

A function can also be written as a selection of points like:

{ (x₁, y₁), (x₂, y₂), ..., (xₙ, yₙ)}

And in that case we have:

domain: {x₁, x₂, ..., xₙ}

range: {y₁, ..., yₙ}

In this case, the function is defined by:

{(6,-8), (9, 3), (-3, 5), (1,-6), (5, 7)}

Then the domain is:

{6, 9, -3, 1, 5}

And the range is:

{-8, 3, 5, -6, 7}

If we reorder the numbers we get:

the domain is: {-3, 1, 5, 6, 9}

range is: {-8, -6, 3, 5, 7}

So the correct option is D.

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Answer:

25%

Step-by-step explanation:

25 - 20 = 5

20/4 = 5

100 / 4 = 25

Answer:

20+25%=25% Ali Has increased 25%

The probability of X = 2 can be found using the binomial probability formula, with p ≈ 0.119 obtained by solving for p using the equation P(X = 4) = 0.9724. The resulting probability is approximately 0.193.

We can use the binomial probability formula to find P(X = 2):

P(X = 2) = (7 choose 2) * p² * (1-p)⁽⁷⁻²⁾

We know that P(X = 4) = (7 choose 4) * p⁴ * (1-p)⁽⁷⁻⁴⁾ = 0.9724

Solving for p in this equation, we get p ≈ 0.119

Substituting this value of p in the formula for P(X = 2), we get:

P(X = 2) = (7 choose 2) * 0.119² * 0.881⁽⁷⁻²⁾ ≈ 0.193

Therefore, the probability that X = 2 is approximately 0.193.

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