Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value

Answers

Answer 1
if your saying (100,200) on a graph then c will be 100 because first veritable is always going to be x
Answer 2

The probability that x assumes a value less than three standard deviations from the mean is 1.

What is uniform distribution?

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

x be a random variable with uniform distribution on (100,200).

It is required to find the probability that x assumes a value less than three standard deviations from the mean.

From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.

99.7% data from the (100, 200) is up to 199.7

Total number of favourable outcomes = 99.7

The probability that x assumes a value less than three standard deviations from the mean:

= 99.7/(200-100)

= 0.997 ≈ 1

Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.

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Related Questions

How has the polygon RQTS been translated to produce a polygon with Q’ at (-3, -3)?


shift down 5 units
shift down 6 units
shift down 2 units
shift down 3 units

Answers

Answer: Shift down 3 units

Step-by-step explanation:

From the figure its clear that the existing coordinate of the polygon RQTS are : (−3,0)

Since we have to translate the polygon to (−3,−3)

So:

−3−(−3)=0

−3−(0)=−3

Therefore shift down 3 units is the correct answer

Answer:

shift down 5 units

Step-by-step explanation:

i took the quiz

Find the value of x that makes m || n
x=

Answers

180-73
=107
X would equal 107

Help Anyone please? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Which system represents the statements below?

The sum of two numbers is 10. One number is five times the other.

Answers

Answer:

the answer is c

Step-by-step explanation:

y = 5x

as it says x + y = 10

so one number which is represented as x is times 5 as the other which brimg to our answer y =5x

Solve the simultaneous equations 4 x + 3 y = 25 x + 5 y = 19

Answers

Answer:

x= 4

y=3

Step-by-step explanation:

its simple

4x+3y=25

x+5y=19

by elimination

-17y=-51

so y = 3

substitute y for 3

then x is 4.

I hope this will help you.

If ∠A > ∠B, then what is the relation between AC and BC?

Answers

Answer:

ab and ac are congruent with each other

Answer:

BC > AC

Step-by-step explanation:

∠A > ∠B (Given)

Side opposite to larger angle is larger and side opposite to smaller angle is smaller.

->AC < BC

or

BC > AC

The price of general admission Twins tickets increased from $7 to $18 when they moved to Target Field. What is the percent increase in the ticket price? Explain how you know

Answers

Answer:

257 1/7%

Step-by-step explanation:

[tex] \frac{18}{7} = 2.57142857[/tex]

2.57142857 = 257 1/7 %

Pls help me! 19 and 20.

Answers

Answer:

See below ↓

Step-by-step explanation:

19.

[tex]\frac{x-1}{2} - \frac{x-3}{5} - \frac{x-7}{10} + \frac{x-2}{5}[/tex][tex]\frac{5(x-1)-2(x-3)-(x-7)+2(x-2)}{10}[/tex][tex]\frac{5x-5-2x+6-x+7+2x-4}{10}[/tex][tex]\frac{4x+4}{10}[/tex][tex]\frac{2x+2}{5}[/tex]

20.

[tex]\frac{2x+3}{2x} + \frac{x+3}{4x} - \frac{18x+6}{8x^{2} }[/tex][tex]\frac{4x(2x+3)+2x(x+3)-(18x+6)}{8x^{2} }[/tex][tex]\frac{8x^{2} +12x+2x^{2} +6x-18x-6}{8x^{2} }[/tex][tex]\frac{10x^{2}-6}{8x^{2} }[/tex][tex]\frac{5x^{2}-3}{4x^{2} }[/tex]

I bought a keychain for $6.75 and a T-shirt that cost X dollars each altogether the items cost $31.50 complete the type diagram

Answers

Answer:

24.75

Step-by-step explanation:

keychain=$6.75

t.shirt=X

according to question

X+6.75=31.50

X=24.75

Which transformations are needed to change the parent cosine function to y = 0. 35 cosine (8 (x minus StartFraction pi Over 4 EndFraction))? vertical stretch of 0. 35, horizontal stretch to a period of 16 pi, phase shift of StartFraction pi Over 4 EndFraction units to the right vertical compression of 0. 35, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 4 EndFraction units to the left vertical compression of 0. 35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right vertical stretch of 0. 35, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right.

Answers

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to right

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to right

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Identify the value of y
(5y-6) = (2y×9)-32

Answers

Hey there!

Let's solve your equation step-by-step.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

Step 1: Simplify both sides of the equation.

[tex]\fbox{5y−6=2y(9)−32}[/tex]

[tex]\fbox{5y+−6=18y+−32}[/tex]

[tex]\fbox{5y−6=18y−32}[/tex]

Step 2: Subtract 18y from both sides.

[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]

[tex]\fbox{−13y−6=−32}[/tex]

Step 3: Add 6 to both sides.

[tex]\fbox{−13y−6+6=−32+6}[/tex]

[tex]\fbox{−13y=−26}[/tex]

Step 4: Divide both sides by -13.

[tex]\fbox{−13y/−13 = −26/−13}[/tex]

[tex]\fbox{y=2}[/tex]

Answer:

[tex]\fbox{y=\fbox{2}}[/tex]

Sumalee spent $183 on books. Math books cost $21 and english books cost $26. If she bought a total of 8, then how many of each kind did she buy?

Answers

Math - 5, english - 3
I simply tried the possibilities starting at the bottom and comparing the totals.
I tried: 1, 7 no result; 2, 6; no result; 3, 5; no result; 4, 4; no result; 5, 3 correct

F(x)=x^2
G(x)=x^2-8x+16
In which direction and by how many units should f(x) be shifted to match g(x)?

Answers

Answer:

  4 units right

Step-by-step explanation:

The question of shifts or other transformations can be more easily answered when the transformed function is written in vertex form.

  g(x) = (x -4)²

Compared to f(x) = x², this is g(x) = f(x-4). That change corresponds to a right-shift of 4 units.

  f(x) should be shifted right 4 to match g(x)

_____

Additional comment

The square of a binomial is (a -b)² = a² -2ab +b². The form of G(x) can be seen to match this form, so we know G(x) can be written as the square shown above.

Can someone help me if you can??? please and thank you! :)))))))​

Answers

Answer:

Here is the answer

Step-by-step explanation:

Interest=$580 x 6.5%

=580 x 6.5/100

=$37.70

$37.70= 37dollars and 70 cents

Hope it helps best of luck

Annabelle read 10 books in 2 months. What was her rate of reading, in books per month?

Answers

Answer:

5 books per month

Step-by-step explanation:

We are trying to find a rate.

To find books per month, we would take the number of books and divide it by the number of months.

This would give us 10 books/2 months.

10/2 simplifies to 5.

Therefore the answer would be 5 books per month.

Answer:

You need to divide it I don't have a calculator because my mom don't want me to calculate she let me to calculate it on my brain btw please brainless me

What is the area of the following circle?

Answers

Answer:

49pi

Step-by-step explanation:

Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.

P.S: don't cheat in khan my man, that's dishonored

4/5 and -4/5 are same or not ​

Answers

Answer:

not

Step-by-step explanation:

Answer:

4/5 and -4/5 are not same because

4/5=

Calculate the capacitance between two parallel plates of area s and separation of d

Answers

What do you mean I don’t understand

The capacitance between two parallel plates of area s and separation of d is;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

What is capacitance?

Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.

The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.

The capacitance between two parallel plates of area s and separation of d is given by the following formula;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.

According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.

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Find the length of the missing side of the right triangle. (Don't put units in your answer.)

Answers

The missing side is the opposite or the adjacent of the right triangle

The length of the missing side is 9.9

How to determine the length of the missing side?

To calculate the length of the missing side, we make use of the following Pythagoras theorem.

16.5^2 = 13.2^2 +a^2

Evaluate the exponents

272.25 = 174.24 +a^2

Collect like terms

a^2 = 272.25 - 174.24

Evaluate the like terms

a^2 = 98.01

Take the square roots of both sides

a = 9.9

Hence, the length of the missing side is 9.9

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Which is the solution to the inequality?
y + 15 less-than 3

Answers

Hey there!

"less than" is "<"

y+15<3

Solve it:

y<3-15

y<-12

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

y < -12

Step-by-step explanation:

Edge

MATH
NATION
Question 1 of 10
NEXT QUESTION
Suppose h(t) = -0.2t2 + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum?

Answers

Step-by-step explanation:

the point of extreme value we get a the zero dilution of the first derivative of the function.

h(t) = -0.2t² + 2t

h'(t) = -0.4t + 2

so,

-0.4t + 2 = 0

2 = 0.4t

t = 2/0.4 = 5 seconds

so, after 5 seconds the ball reaches its maximum height.

FYI : that height is then h(5).

-0.2×5² + 2×5 = -5 + 10 = 5 ft

so, all in all, a very weak kick in very low gravity ...

Review the work showing the first few steps in writing a partial fraction decomposition.

StartFraction 4 x + 40 Over (x + 2) (x + 6) EndFraction = StartFraction A Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFraction
4x + 40 = A(x + 6) + B(x + 2)
4x + 40 = Ax + 6A + Bx + 2B

What is the partial fraction decomposition in terms of x?

Answers

Answer:

8/(x + 2) - 4/(x + 6)

Step-by-step explanation:

4x + 40 = Ax + 6A + Bx + 2B

Equating coefficients of x

4 = A + B      (1)

Equating constant terms:

40 = 6A + 2B    (2)

Multiply  equation (1) by -2:

-8 = -2A - 2B   .. (3)

Add (2) and (3):

32 = 4A

A = 32/4

A = 8.

4 = 8 + B

B = 4 - 8

B = -4.

The decomposition of the given partial fraction in terms of x is [tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex].

What is partial fraction?

The partial fraction is the result of writing a rational expression as the sum of two or more fractions.

According to the given question.

We have a partial fraction

[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{A}{(x+2)} +\frac{B}{(x+6)}[/tex]

We have to decompose the above partial fraction in terms of x.

The above partial fraction can be written as

[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{A(x+6)+B(x+2)}{(x+2)(x+6)}[/tex]

⇒[tex]4x+40 = A(x+6)+B(x+2)[/tex]

⇒[tex]4x + 40 = Ax + 6A + Bx + 2B[/tex]

⇒[tex]4x + 40 = x(A+B) +6A + 2B...(i)[/tex]

On comparing the coefficient of x and the constant terms.

[tex]A+B = 4..(ii)[/tex]

⇒[tex]A = 4 - B[/tex]

and, [tex]6A+2B = 40..(iii)[/tex]

⇒[tex]2(3A+B) = 40[/tex]

Substitute the value of A in (iii)

⇒[tex]2(3A+B) = 40[/tex]

⇒[tex]3A+B = 20[/tex]

⇒[tex]3(4-B)+B = 20[/tex]

⇒[tex]12 - 3B +B = 20[/tex]

⇒[tex]12 - 2B = 20[/tex]

⇒[tex]-2B = 8[/tex]

⇒[tex]B = -4[/tex]

So, [tex]A = 4-(-4) = 8[/tex]

Substitute the value of A and B in the given partial fraction.

⇒[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex]

Hence, the decomposition of the given partial fraction in terms of x is [tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex].

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Please help! locks in 30 min!

Answers

the answer is -1/2
:)

The answer is the first one!

HELP PLS IS OVER DUE AND I WANT TO GET THIS DONE RIGHT NOW!

Answers

There are 168 hours in 7 days hope this helps

Answer:

168 hours

Step-by-step explanation:

24 × 7 = 168 hours

So 168 hours in 7 days

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

A translation of (x -3, y + 4) means

Answers

Answer:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

Step-by-step explanation:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

I hope it helps :)

Answer link

A translation of (x - 3, y + 4) means that each point in the original graph is moved horizontally by 3 units to the right and vertically by 4 units upward to create a new graph.

How to interpreted the translation

For any point (x, y) on the original graph, the corresponding point (x', y') on the translated graph is obtained by adding:

3 to the x-coordinate and 4 to the y-coordinate:

x' = x - 3

y' = y + 4

This type of translation is also known as a "horizontal translation to the right by 3 units" and a "vertical translation upward by 4 units." The "x - 3" part represents the horizontal movement, and the "y + 4" part represents the vertical movement.

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how many milillerters of cholcolat milk are in the container shown

Answers

Insert the image of the chocolate milk container and I’ll be happy to solve

3x - 12y = 6
x - 4y = 2
solve by elimination

Answers

Answer:

the problem has an infinite number of solutions

Explanation:

3x - 12y = 6x - 4y = 2

make the coefficient of x same by multiplying the entire following by 3

⇒ ( x - 4y = 2 ) * 3⇒ 3x - 12y = 6 __ equation 2

3x - 12y = 6 __ equation 1

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

===========

0

pls pls pls pls pls pls pls

Answers

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

How to determine the inverse, converse and contrapositive

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

Inverse -> If not p , then not q .Converse -> If q , then p .Contrapositive -> If not q , then not p .

Using the above rule, we have:

Statement 1

Inverse: If a parallelogram does not have a right angle, then it is not a rectangle. Converse: If a parallelogram is a rectangle, then it has a right angle.Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

Statement 2

Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent. Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of anotherContrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

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sin^-1(√3-1/2√2)
please give me answer ​

Answers

use a calculator and the correct answer is 0.019134405

and then round off the that answer into 2 significant number

sin^-1(√3-1/2√2)

please give me answer

Complete the state symbol in the equation. CuCO3+H2SO4(aq)+H2O+CO2

Answers

Answer:

H2O = liquid (l)

CO2 = gas (g)

CuCO3 = solid (s)

Step-by-step explanation:

H2O is water

CO2 is carbon dioxide

CuCO3 is copper carbonate

how many blue cars are there

Answers

Answer:

81 blue

54 red

Step-by-step explanation:

let me know if this is helpful!

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