What values are solutions to the inequality?​

Answer:

Explained below.

Step-by-step explanation:

The random variable X follows an exponential distribution with λ = 5.

The probability density function of X is:

[tex]f_{X}(x)=\lambda\cdot e^{-\lambda\cdot x};\ 0<x<\infty[/tex]

[tex]P(X\leq x)=1-e^{-\lambda\cdot x}\\\\P(X\geq x)=e^{-\lambda\cdot x}[/tex]

(a)

Compute the value of P (X ≤ 0) as follows:

[tex]P(X\leq 0)=1-e^{-\lambda\cdot x}[/tex]

               [tex]=1-e^{-5\times 0}\\\\=1-1\\\\=0[/tex]

Thus, the value of P (X ≤ 0) is 0.

(b)

Compute the value of P (X ≥ 2) as follows:

[tex]P(X\geq 2)=e^{-5\times 2}=4.54\times 10^{-5}\approx 0[/tex]

Thus, the value of P (X ≥ 2) is approximately 0.

(c)

Compute the value of P (X ≤ 1) as follows:

[tex]P(X\leq 0)=1-e^{-\lambda\cdot x}[/tex]

               [tex]=1-e^{-5\times 1}\\\\=1-0.00674\\\\=0.99326[/tex]

Thus, the value of P (X ≤ 1) is 0.99326.

(d)

Compute the value of P (1 ≤ X ≤ 2) as follows:

[tex]P(1<X<2)=\int\limits^{2}_{1} {5\times e^{-5x}} \, dx \\\\=5\times [\frac{e^{-5x}}{-5}]^{2}_{1} \\\\=5\times [\frac{0-0.00674}{-5}]\\\\=0.0067[/tex]

Thus, the value of P (1 ≤ X ≤ 2) is 0.0067.

(e)

Compute the value of x such that P (X < x) = 0.05 as follows:

[tex]P(X<x)=0.05\\\\\int\limits^{x}_{0} {5\times e^{-5x}} \, dx =0.05\\\\5\times [\frac{e^{-5x}}{-5}]^{x}_{0} =0.05\\\\1-e^{-5x}=0.05\\\\-e^{-5x}=0.95\\\\-5x=\ln(0.95)\\\\-5x=-0.05\\\\x=0.01\\\\[/tex]

Thus, the value of x is 0.01.

Answer:

A

Step-by-step explanation:

Cuz Im just right

(A) An equilateral triangle.

Therefore, Ethan is in the process of constructing (A) an equilateral triangle.

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Answer:

Need a figure or more information to answer this question

Answer:

46,800,000 thats the answer

Answer:Don´t know but hope ypu find someone who knows

Step-by-step explanation:

Answer:

5½

Step-by-step explanation:

1). Convert any mixed numbers to fractions. Then your initial equation becomes: ³⁄₂·¹¹⁄₃

3). Applying the fractions formula for multiplication: [tex]\frac{3*11}{2*3}[/tex] = [tex]\frac{33}{6}[/tex] = [tex]5\frac{1}{2}[/tex]

Answer:

c. D: {1, 2, 3, 4, 5}

Step-by-step explanation:

The domain of a function includes values of x that are in the given table of values of the given function.

The range, on the other hand, includes all set of values of y, given in the table of values.

Thus, for the table of values above:

Domain would be [1, 2, 3, 4, 5]

Range would be [a, b, c, d, e]

The domain of the function can be represented as:

D: {1, 2, 3, 4, 5}

Answer:

It is graph B or the second graph!

Step-by-step explanation:

Answer:

Its graph B.

Step-by-step explanation:

I just got it right on Edge.

132 is the least common multiple

Answer:

Least common multiple (LCM) of 12 and 22 is 132.Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

This is the answer because:

1) 12:5 is equivalent to the ration 24:10

2) This is because to get 24 you have to multiply 12 and 2 which is 24

3) Next, you have to do the same to the other side to make everything equal. Therefore, you have to multiply 5 with 2 which is 10.

4) Finally, your answer should be 24:10

Hope this helps! :D

Answer:

D

Step-by-step explanation:

9514 1404 393

Answer:

  8

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary, so ...

  106 +(11x -14) = 180

  11x = 88 . . . . . . subtract 92

  x = 8 . . . . . . . . .divide by 11

Answer:

4 over 3

Step-by-step explanation:

this is beause you add the numertior and not the divend

Answer:

4/3 or 1 1/3 or 1.333 repeating

Step-by-step explanation:

Since 2/3 + 2/3 has the same denominator you can just add the top numerators together and keep the same denominator.

Answer: -3.11 x 10^ 1

Step-by-step explanation: - 3

3.11 X 10 = -31.1, in decimal form -3.11 x 10^ 1

I

Answer:

4m + 8n -4p

Step-by-step explanation:

Im pretty sure its that. Hope its right!

For $60, you may spend four hours at Snow Play Ski Park.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Snow plays ski park costs a $35 entry fee and then $5 per hour. If you have $60

Let "x" be the hours you can play in the ski park

Since,

Addition charges = 35

Thus your total expenses to play x hours in the park = 5*x + 35

Since We have only 60$

So,

60 = 5x + 35

=> 5x = 25

=> x = 5

therefore, You can be at a snow play ski park for four hours for $60.

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Answer: 16

Step-by-step explanation:

Find the mean absolute deviation of the data:

X : 92, 88, 90, 96, 84

Find the mean(m) of the data:

m = Σ(X) / n

n = number of samples

(92 + 88 + 90 + 96 + 84) / 5

m = 450 / 5

m = 90

Absolute Deviation of each value of the mean:

|x - m| :

|92 - 90| = 2

|88 - 90| = 2

|90 - 90| = 0

|96 - 90| = 6

|84 - 90| = 6

Σ|x - m| = 2 + 2 + 0 + 6 + 6 = 16

Answer:

3.2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes it is A i did it rn

Answer:

More than 200 items must be produced to keep the average cost below $40 per item.

Step-by-step explanation:

Answer:

47/48

Step-by-step explanation:

hope this helps

Answer: 2.58 i think

Step-by-step explanation: add up all the numbers and divide them by how many numbers they were

Answer:

x = 0.1

Step-by-step explanation:

1/x - x/6 = 2/3

1/ x - 6/x = 2/3

6/x = 2/3

6x = 2/3

x = 0.1

Answer:

x = 0.2

Step-by-step explanation:

1/x - x/6 = 2/3

=> 1/x - x = 2/3 * 6

=> 1/x - x = 12/3

=> 1/x - x = 4

=> 1/x - x/1 = 4 (x = x/1 )

=> 1 - x/1 = 4 * x

=> -x/1 = 4x - 1

=> -x/1 -4x = -1

=> -5x/1 = -1

=> x = -1/-5

=> x = 0.2 (Because negative / negative = positive)

If I am wrong please tell me.

If my answer helped, kindly mark me as the brinliest!!

Thanks!!

Answer:

4.25

Step-by-step explanation:

why 17/4 is divided and what comes out or back is divided

Answer:

[tex]\huge\boxed{18,475}[/tex]

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of n terms of an arithmetic sequence:

[tex]S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}[/tex]

We have

[tex]a_1=2\\d=17-2=32-12=47-32=15\\n=50[/tex]

Substitute:

[tex]S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475[/tex]

Answer:

16 dollars per week

Step-by-step explanation:

Divide 224 by 14

Answer:

Image?

Step-by-step explanation:

Answer:

where is the image

Step-by-step explanation:

Answer:

Step-by-step explanation:

Thank you ☺️☺️

its answer is option B

0.001

Answer:

33.42

Step-by-step explanation:

just trust me

33.42  angle would subtend an arc with a length of 7 m.

The angle formed by the arc at the center of the circle is the angle of the arc. Indicated by. m A B ^, A, and B are the endpoints of the arc. You can use the arc length equation to find a measure of the arc angle.

For a circle, the arc length equation is θ times the radius of the circle. The equation for arc length in radians can be expressed as Arc length = θ × r, where θ is in radians. Arc length = θ × (π / 180) × r, where θ is in degrees and L = arc length. θ = central angle of the arc.

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Answer:

5+11x= total height

x is the number of floors