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The probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].

Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

The given function is;

[tex]\rm =\dfrac{ e^\frac{-x}{1074}}{1074}[/tex]

The probability density function of the time to failure of an electronic component in a copier (in hours) is given by;

[tex]\rm P(a < x < b) =\int\limits^a_b {p(x)} \, dx[/tex]

For the electronic component, the probability will be:

[tex]\rm P(a < x < b) =\int\limits^a_b {\rm \dfrac{ e^\frac{-x}{1074}}{1074}} \, dx\\\\ P(a < x < b) =\int\limits^a_b {\rm \dfrac{1074}{1074} e^\frac{-x}{1074}}} \, dx\\\\P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex]

Hence, the probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].

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The value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.

It is given that the  [tex]\rm tan\theta = -\frac{3}{8}[/tex]

It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have  [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.

We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.

The  [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]

or    [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]

Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:

[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  

Or

[tex]\rm cot\theta = -\frac{8}{3}[/tex]

Thus, the value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex].

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Answer:

first option

Step-by-step explanation:

Hello !

_______

[tex]\huge {\boxed {\underline{Explanation :}}}[/tex]

[tex]\sf{5 \: x \: \frac{3}{4}[/tex]

_______

[tex]\sf{Apply \: the \: fraction \: rule :} \: a \: ^. \: \frac{b}{c} = \frac{a \: ^. \: b}{c}[/tex]

[tex]\sf{\frac{5x \: ^. \: 3}{4}[/tex]

_______

[tex]\sf{Multiply \: the \: numbers:} \: 5 \: ^. \: 3 = 15[/tex]

[tex]\sf{= \frac{15x}{x}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Dollixna ~

Answer:

- 4 < x < 2

Step-by-step explanation:

- 1 < x + 3 < 5  ( subtract 3 from each of the 3 intervals )

- 4 < x < 2

-1 < x + 3 < 5

Then subtract 3 from each of the 3 intervals

#CarryOnLearning

#LibreAngMatuto

Answer:

lol thts 26

Step-by-step explanation:

None of these choices are correct

The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.

Answer:

what's up w u people and not giving context

Step-by-step explanation:

1. add ur complete problem

2. show a picture or add the question(s)

3. ur done at that point

Answer:

see explanation

Step-by-step explanation:

look at the photo

$18.51

Step-by-step explanation:

assuming you dont need the cost per pencil or anything...

pro set: $27.49

basic set: $8.98

subtract basic from pro.

27.49-8.98= $18.51

Answer:

I know this is a little late but your answer is 18.51

The shop makes 25% profit if the cost price per dress is R280.

Answer:

slope = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-6}{4-9}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]

Answer:

susan is correct

Step-by-step explanation:

2+12+4+18+24+32=108

108 divided by 7=54

my reasoning is that the formula is add all and divide by how many numbers you added

Answer:

d.81

Step-by-step explanation:

81 can be represented by a 9x9 square grid. The rest of the numbers would be represented on rectangular grids.

Answer:

D. 81

Step-by-step explanation:

81 can be represented by 9X9 square grid

9^2 = 81

The major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft, the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:

[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]

For the considered case, the equation of the considered ellipse is:

[tex]\dfrac{x^2}{(\sqrt{7.29})^2} + \dfrac{y^2}{(\sqrt{5.4})^2} =1[/tex]

Thus, the major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft,

the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.

Learn more about ellipse here:

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Answer:

The mirror has a vertical orientation and is 5.4 ft tall.

Step-by-step explanation:

Got it right. The major axis is vertical (the ellipse has a vertical orientation) because the y^2 term comes first. It is 5.4 ft tall because if you take the square root of the number under the y^2 term (square root of 7.29), it is equal to 2.7. This is only the distance from the center to one vertex on the major axis, and so twice 2.7 is 5.4, and the mirror is 5.4 ft tall.

Also I know I am weeks late, but maybe this will help others at some point. Sorry I didn't get here in time!

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

If you want to learn more about transformations, you can read:

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you take 99 divided by 22 = 4.5

I don't understand what exactly your teachers meaning so I would also suggest asking but the answer compered to everything I've learned in math would be 4.5.

have a good day/night!! :)

Answer:

1/5

Step-by-step explanation:

Arrange the numbers from smallest to largest...the median is the one in the middle of the list

-12/4   - 2.5    1/5    18/5    10       the middle is 1/5

Answer: 42.0

Step-by-step explanation:

Answer:

37/6x = 6 and 5 1/2x + 2/3x = 6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

Answer:

is there a picture of the answers?

Step-by-step explanation:

also can u help me with my question pls

Answer:

x < 27

Step-by-step explanation:

x + 16 < 43

move the constant to the right-hand side and change its sign

x < 43 - 16

subtract the numbers

x < 27

~~~~~~~~~~~~~~~~~~

X < 27

alternative form

X ∈ ( - ∞ , 27 ) , { x | x < 27 }

Answer:

3

Step-by-step explanation:

81^(¼) can also be witten as the fourth root of 81, which happens to be 3.

Answer:

3

Step-by-step explanation:

(3*(to the fourth power))1/4

Answer:

$294.00

Step-by-step explanation:

Whats the gross pay before taxes?

Answer: $294.00 with overtime and everything.

Answer:

1770

Step-by-step explanation:

multiply the mass value by 1000

that is the easy way

Answer:

The answer = 9

D : 729

Step-by-step explanation:

here step-by-step is 6/2 * (1 + 2) = 9                          

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3m = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 18 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 6[/tex]

Hence, value of m is 6

Answer:

Triangle

Step-by-step explanation:

A regular triangle has equal sides and no right angles. Hope this helps. ^^