Suppose that X1, . . . , Xn form a random sample from
a distribution for which the p.d.f. f (x|θ) is as follows:
f (x|θ) =
&
eθ−x for x >θ,
0 for x ≤ θ.
Also, suppose that the value of

Answer: 1.17600521 rad

Step-by-step explanation:

To find the angle (in radians) that the ladder makes with the building, we can use the right triangle formed by the ladder, the building, and the ground. The ladder acts as the hypotenuse of the right triangle, with a length of 13 feet. The height from the ground to the second-floor window is the side opposite the angle we want to find, which has a length of 12 feet.

We can use the sine function to find the angle, θ:

sin(θ) = opposite side / hypotenuse

sin(θ) = 12 / 13

Now, to find the angle θ in radians, we can use the inverse sine function (arcsin):

θ = arcsin(12/13)

Plug the value into a calculator to get the angle in radians:

θ ≈ 1.17600521 rad

Answer:

θ ≈ 1.17600521 rad

Step-by-step explanation:

You need approximately 5 terms (starting from n=4) to achieve an error less than 0.001.  To determine the number of terms required to approximate the sum of the series with an error of less than 0.001.

We can use the alternating series error bound formula:

Error ≤ |Rn| ≤ an+1

Where Rn is the remainder or error in the nth partial sum, and an+1 is the absolute value of the (n+1)th term in the series.

In this case, the alternating series is:

∑
[infinity]
n=4
(−1)n+1
n4

To find the absolute value of the (n+1)th term, we can plug in n+1 for n:

|an+1| = |(−1)n+2/(n+1)4|

Since we want the error to be less than 0.001, we can set up the inequality:

|an+1| ≤ 0.001

Plugging in the formula for |an+1| and solving for n, we get:

|(−1)n+2/(n+1)4| ≤ 0.001

(n+1)4 ≥ 1000

Taking the fourth root of both sides, we get:

n+1 ≥ 5.623

n ≥ 4.623

Therefore, we need at least 5 terms to approximate the sum of the series with an error of less than 0.001.

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Answer:

y=5/8x-21/8

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

Answer:

Yes, the ratios do form a proportion.

On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

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According to the given expression some are shortlisted factored expressions are \(4(3a^3 + 2a) for 12a^3 + 8a , 6(4a^4 + 3) for 24a^4 + 18, 4a^3(4a^2 - 5) for 16a^5 - 20a^3.\)

Expressions in mathematics are numerical, variable, and operation combinations that are used to indicate a quantity or a relationship between values.

One or more variables or numbers are combined with one additional operation to form an expression. An illustration of an expression is X + 1.

The completely factored expressions are:

\(4(3a^3 + 2a) for 12a^3 + 8a\\\6(4a^4 + 3) for 24a^4 + 184a^3(4a^2 - 5) for 16a^5 - 20a^3\)

So the correct answers are:

\(12a^3+8a=4(3a^3+2a)24a^4+18=6(4a^4+3)16a^5−20a^3=4a^3(4a^2−5)\)

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The probability that event B occurs but event A does not occur is 0.52. The probability that either event B occurs or event A does not occur (or both) is 1.

(a) To compute the probability that B occurs but A does not occur, we can use the formula for the probability of the intersection of two independent events: P(A and B) = P(A) * P(B). Since events A and B are independent, the probability that both occur is the product of their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.44 * 0.96 = 0.4224. However, the question asks for the probability that B occurs but A does not occur, which is the complement of the intersection of A and B. Therefore, P(B and not A) = 1 - P(A and B) = 1 - 0.4224 = 0.5776.

(b) To compute the probability that either event B occurs or event A does not occur (or both), we can use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B). Since events A and B are independent, the probability of their intersection is given by the product of their individual probabilities. Therefore, P(A or B) = P(A) + P(B) - P(A) * P(B) = 0.44 + 0.96 - (0.44 * 0.96) = 0.99904. However, probabilities cannot exceed 1, so the probability that either event B occurs or event A does not occur (or both) is capped at 1. Therefore, the answer is 1.

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 The equation \(78 = 6^x - 4^{(x-4)^6}\) can be solved algebraically by taking the logarithm base 6 of each side.

To solve the equation \(78 = 6^x - 4^{(x-4)^6}\) algebraically, we can take the logarithm base 6 of each side.
a) Taking the logarithm base 6 of both sides gives us \(\log_6(78) = \log_6(6^x - 4^{(x-4)^6})\).
b) Alternatively, we can also take the logarithm base 4 of both sides, which yields \(\log_4(78) = \log_4(6^x - 4^{(x-4)^6})\).
In either case, taking the logarithm allows us to simplify the equation and isolate the variable \(x\). However, further steps depend on the specific logarithmic properties and simplifications that can be applied to solve for \(x\). The exact solution will require the use of logarithmic identities and potentially numerical methods to approximate the value of \(x\).



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Answer:

It's D.

Step-by-step explanation:

To compare the greater pay between a salary of $74,000 per year and an hourly rate of $40 for 80 hours every fortnight, we need to calculate the total earnings for each option.

Salary per year:

To calculate the total earnings for the salary option, we simply take the annual salary of $74,000.

Total earnings = $74,000 per year

Hourly rate:

To calculate the total earnings for the hourly rate option, we need to determine the total number of hours worked in a year. Since there are 26 fortnights in a year, and the lawyer works 80 hours per fortnight, the total number of hours worked in a year would be:

Total hours worked per year = 26 fortnights * 80 hours/fortnight = 2,080 hours

Now we can calculate the total earnings:

Total earnings = Hourly rate * Total hours worked per year

= $40/hour * 2,080 hours

= $83,200

Comparing the two options, we find that the greater pay is $83,200 from the hourly rate, which exceeds the $74,000 salary per year.

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Answer:

The answer is 3 2/5 hope this helps :)

Step-by-step explanation:

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

(y+5)(y-3)

Step-by-step explanation:

..........

Answer:

y^2-3y+5y-15

y(y-3)+5(y-3)

(y-3) (y+5)

Answer:

x = -1

Step-by-step explanation:

4 = 2(x + 3)

distribute to remove the parenthesis

4 = 2x + 6

-6          -6

move the 6

-2 = 2x

2    2

divide

-1 = x

Answer:

\( {5x}^{4} + 3 {x}^{2} - 8x + 6\)

Step-by-step explanation:

Math

Slope intercept form: \(y=mx+b\)

We can identify two points on the given graph and solve for the slope and the y-intercept.

Two clear points on the graph are (6,0) and (0,6).

First, we can solve for the slope by using the slope equation:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\) where two points are \((x_1,y_1)\) and \((x_2,y_2)\)

⇒ Plug in the points (6,0) and (0,6):

\(m=\dfrac{0-6}{6-0}\\\\m=\dfrac{-6}{6}\\\\m=-1\)

Therefore. the slope of the line is -1. Plug this into \(y=mx+b\):

\(y=-x+b\)

Now, we can find the y-intercept. It is the value of y when the line crosses the y-axis.

In this case, we can see on the graph that this is 6.

\(y=-x+6\)

\(y=-x+6\)

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Trapezoidal, midpoint, and simpson's rules are used to calculate difinite integral of given function .

What is a trapezoidal rule to calculate approximate the given integral with specified value of n.

Trapezoids, as opposed to rectangles, can be used to approximate the value of a definite integral.

Instead of using rectangles to approximate the area under a curve, the trapezoidal rule for estimating definite integrals uses trapezoids. Think about the trapezoids in Figure 3.14 to get an idea of the rule's final shape. We presume that each subinterval's length is determined by x.

First, recall that Area=(1/2)*h*(b1+b2) is the formula for calculating the area of a trapezoid with a height of h and bases of length b1 and b2.

Assume that [a,b] is a continuous range for f(x). Assume that n is a positive integer and that x=(b-a)/n.

Let's divide [a,b] into n subintervals, each with length Δx, and place their endpoints at P=x0,x1,x2...,xn. Set

Tn=(1/2)*Δx(f(x0)+2f(x1)+2f(x2)+⋯+2f(xn−1)+f(xn)).

After that,  limn→∞ Tn = ∫f(x)dx. limit a->b

What is a mid point rule to calculate approximate the given integral with specified value of n.

The midpoint rule substitutes the midpoints, mi, of each subinterval for xi in a Riemann sum with subintervals of equal width to estimate definite integrals. Formally, we make the following claim about the convergence of the midpoint rule.

What is a simpson's rule to calculate approximate the given integral with specified value of n.

Assume that  f(x)  is continuous over  [a,b].  Let n be a positive even integer and  Δx=b−an.  Let  [a,b]  be divided into  n  subintervals, each of length  Δx,  with endpoints at  P={x0,x1,x2,…,xn}.  Set

Sn=Δx3(f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+⋯+2f(xn−2)+4f(xn−1)+f(xn)).

limn→+∞Sn=∫f(x)dx. lim a->b

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Step-by-step explanation:

Let's take the RHS,

we've,

Let's Rationalise the Denominator.

we get,

The numerator is in form of (a-b)^2 and the denominator is in form of a^2-b^2. Now,

By formula,

Here I substituted Cosa in place of (Cosa/2)^2 - (sina/2)^2 because it's the formula of cosa in sub multiple angle form.

(sina/2)^2 + (Cosa/2)^2 =1.........( by formula)

so we have,

LHS proved.

Thank You.

Answer:

10,5 should be changed

Step-by-step explanation:

hope this helps

Answer:

the answer is 3.

Step-by-step explanation:

it said on goog.

can u plz mark me brainlyist?? :)

Answer:

0.26

Step-by-step explanation:

8/50. 8

———— =. ——— = 0.26

30/50. 30

Answer:

1401.25

Step-by-step explanation:

F(4000)= 1.25+0.35(4000) = 1401.25

The surface area of the figure will be 458 square feet. Then the correct option is B.

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The surface area of the figure is given as,

\(\sf SA = 2 [(12 \times 5) + (12 \times 5) + (7 \times 7) + (5 \times 12)]\)

\(\sf SA = 2 (60 + 60 + 49 + 60)\)

\(\sf SA = 2 (229)\)

\(\sf SA = 458 \ square \ feet\)

The surface area of the figure will be 458 square feet. Then the correct option is B.

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Answer:

The answer is either5x+3 = 4x-3

Answer:

x = -27

Step-by-step explanation:

5 ( x + 3 ) = 4 ( x - 3 )

5 times x, 5 times 3, 4 times x, 4 times -3 =

5x +15 = 4x -12

Subtract 15

5x +15 -15 = 4x -12 -15=

5x = 4x -27

Subtract 4x

5x -4x = 4x -4x -27 =

1x = -27

Divide

1x/1 = -27/1 =

x = -27

Students who are proficient in math begin by defining a problem for themselves and searching for possible solutions.

They examine assumptions, limitations, connections, and objectives. Instead of just launching into a solution attempt, they formulate hypotheses regarding the structure and significance of the solution and outline a solution pathway. In order to get insight into the problem's solution, they take into account similar difficulties, try specific situations, and take the original problem in simpler forms. They track and assess their development, and if necessary, they alter their direction. A good puzzle not only involves more of the "real world" for a child than, instance, calculating the amount of paint required.

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Answer:

Angle BCF= 107 degrees

Step-by-step explanation:

for this question, you need to use the alternate angle which means angle EDC is equal to angle CFA. All the angles in a triangle makeup up 180 degrees. so with angle CFA AND ABC we can minus it from 180 degrees to find angle BCF. So 180-41-32=107