A distribution is given as X ~ U(0, 12). Find P(x > 6). (Enter an exact number as an integer, fraction, or decimal.)

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The value of P(x>6) is 1/5.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that A distribution is given as X ~ U(0, 12).

We need to find the value of  P(x > 6)

The probability density function of the uniform distribution is defined as:

f(x)=1/b-a, a<x<b

a=0 and b=12

f(x)=1/12 , 0<x<12

The required probability is P(x>6)

Now P(x>6)= [tex]\int\limits^2_6 {f(x)} \, dx[/tex]

P(x>6)=(12/12-6/12)

=1-1/2

=1/2=0.5

Hence, the value of P(x>6) is 1/5.

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Related Questions

What is the reference angle of 50°?

Answers

Since
50
°
50
°
is in the first quadrant, the reference angle is
50
°
50
°
.
50
°

What is the value of (x^3 − 7x^2 − 18x + 42) when x = 3?

Answers

Answer:

-150

Step-by-step explanation:

x^2 - 7x^2 - 18x +42

3^2 - 7(3)^2 - 18(3) + 42

9 - 63 - 54 + 42

-54 -54 + 42

-108 + 42

-150


A little help? the question is attached

Answers

Answer:

26 units

Step-by-step explanation:

6+6+7+7 = 26 units

how many hours in 1weak​

Answers

168 hours in one week

Answer:

168 hours

Step-by-step explanation:

11 There are 136 people on a train.
34 of the people are children.
What percentage of the people on the train are adults?​

Answers

Answer:

75%

Step-by-step explanation:

There are 136 people on a train

34 are children

Therefore the percentage of people that are adults can be calculated as follows

= 136-34

= 102

= 102/136 × 100

= 0.75 × 100

= 75%

Hence 75% are adults

someone please help me i don’t understand

Answers

Answer:

Answer B

Step-by-step explanation:

Write out f(x) and g(x) in a column; we will subtract g(x) from f(x):

f(x) = x^2  - 9          or f(x)   =   x^2           - 9

-g(x) = -(2 - x)          or -g(x) =           +x      -2

                                    ---------------------------------

                                      f(x) - g(x) = x^2 + x - 11   (Answer B)

Type the integer that makes the following addition sentence true:
= 6
39 +

Answers

-33

Hope this helps. :)))))

what is the slope of the line?

Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Step-by-step explanation:

*
6. Write the mixed number as an improper fraction. 11/8

Answers

1 3/8. If you would like me to explain lmk!

Answer:

1 [tex]3/8[/tex]

Step-by-step explanation:

What is 4 - 2 and 1/4 I really need to know please

Answers

I’m confused by the question? 4-2= 2 and 1/4 would be 1/4 or 0.25

Simplify completely''''​

Answers

Answer:

[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                         [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex][Fraction] Factor denominator:                                                                     [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex][Fraction] Divide:                                                                                           [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]

5.65 x 10 to the 5th power + 4.87 * 10 to the 3rd power​

Answers

Answer:

569870

Hope this helps you. Do mark me as brainly

Answer:

the answer is very big..... it is 575,876,495

Solve for k.
B=1/2kq

Answers

Answer:

k= 2b/q

Step-by-step explanation:

see pic for explanation

the half life of carbon 14 is 5730 years. how much of a 50 gram sample would be left after 15000 years

Answers

Answer:

In this question (t½) of C-14 is 5730 years, which means that after 5730 years half of the sample would have decayed and half would be left as it is. After 5730 years ( first half life) 70 /2 = 35 mg decays and 35 g remains left. After another 5730 years ( two half lives or 11460 years) 35 /2 = 17.5mg decays and 17.5 g remains left . After another 5730 years ( three half lives or 17190 years) 17.5 /2 = 8.75mg decays and 8.75g remains left. after three half lives or 17190 years, 8.75 g of C-14 will be left.

Step-by-step explanation:

Is 1/4 more than 7/3

Answers

Answer:

No

Step-by-step explanation:

No 1/4 is less than a whole and 7/3 is 2. 1/3

Three uniform shirts sell for $34.50. How much will 5 uniform shirts cost?

Answers

Answer:

57.5

Step-by-step explanation:

Recognize our numbers

3,5,34.50

Three uniform shirts sell for 34.50

34.50/3

=11.5

How much will five cost?

5x11.5

=57.5

Hope this helps!

Answer:

55.25

Step-by-step explanation:

1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.

34.50 / 3 = 11.05

2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.

11.05 * 5 = 55.25

= $55.25p

Please help please and thank you

Answers

Answer:

Step-by-step explanation:

2x + 3x + 8 - 3x - 2 = 2x + 6

The first and third expressions.

Answer:

1 and 3

Step-by-step explanation:

This should be correct

Please I need help!!

Answers

Answer:

These expressions are both correct because they are equivalent to each other.

5(4) + 7(4) = 20 + 28 = 48

(12 x 8)/2 = 96/2 = 48

Let me know if this helps!

The ratio of cats to dogs is 8:9. If
there are 27 dogs, how many cats
are there
(Help)

Answers

Answer:

24 yw :)

Step-by-step explanation:

In which expression should the exponents be multiplied

Answers

Answer:

when the bases are different and the powers are same

Step-by-step explanation:

(a)²★(a)³=(a)²+³........

Graph 5x + 3y = 15.
y

Answers

Graph is on the picture.

hope ot helps.

3) Cory is standing on a cliff that is 48 feet above the ground. He throws a rock in to the air. The height, h, of the rock

after t seconds is given by h(t) = -2t+4t +48.


a) What is the initial height?


b) How many seconds does it take to reach the maximum height?


c) What is the rock's maximum height?


d) How many seconds does it take to for the rock to land on the ground?

Answers

Answer:

a) The initial height of the rock is of 48 feet.

b) It takes 1 seconds for the rock to reach maximum height.

c) The rock's maximum height is 50 feet.

d) It takes 6 seconds for the rock to land on the ground.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

The height of the ball after t seconds, in feet, is given by:

[tex]h(t) = -2t^2 + 4t + 48[/tex]

Which is a quadratic equation with [tex]a = -2, b = 4, c = 48[/tex]

a) What is the initial height?

This is [tex]h(0) = 48[/tex]. So the initial height of the rock is of 48 feet.

b) How many seconds does it take to reach the maximum height?

This is the value of t at the vertex. So

[tex]t_{v} = -\frac{b}{2a} = -\frac{4}{2(-2)} = 1[/tex]

It takes 1 seconds for the rock to reach maximum height.

c) What is the rock's maximum height?

This is the height of the ball after 1 second. So

[tex]h(1) = -2(1)^2 + 4(1) + 48 = 50[/tex]

The rock's maximum height is 50 feet.

d) How many seconds does it take to for the rock to land on the ground?

This is t for which [tex]h(t) = 0[/tex], so we solve the quadratic equation.

[tex]\bigtriangleup = (4)^2-4(-2)(48) = 400[/tex]

[tex]t_{1} = \frac{-4 + \sqrt{400}}{2*(-2)} = -4[/tex]

[tex]t_{2} = \frac{-4 - \sqrt{400}}{2*(-2)} = 6[/tex]

Time is a positive measures, so it takes 6 seconds for the rock to land on the ground.

what do you know to be true about the values of a and b​

Answers

Answer:

a

Step-by-step explanation:

all angles in a triangle is equal to 180 so

60+50=110 so p =70

80+30=110 so q =70

p=q

Answer:

p=q

Step-by-step explanation:

A store owner purchased 70 soccer balls for $24.50 each. The store owne sold 40 of the soccer balls for $39.75 each. The remainder of the soccer balls were sold for $29.50 each. How much profit did the store owner earn?​

Answers

Answer:

The stores profit was $757

Step-by-step explanation:

70 x 24.50=1715

they spent 1715 on 70 soccer balls.

They sold 40 of the soccer balls for 39.75 each.

so 40 x 39.75=1590

Then the the remainder of the soccer balls would be 30 since they only started with 70

so they sold 30 soccer balls for 29.50 each.

30 x 29.50= 882

So add 882+1590=2472

then take that number and subtract it from 1715

2472-1715=757 So in profit they made $757 dollars.

Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycle? Round your answer to two decimal places, if needed.

Answers

Answer:

17 mph

Step-by-step explanation:

Miguel's speed = m, Raul's speed = rGivenm = 4rDistance = 68 milesTime difference = 3 hoursSolutiontime = distance/speed

Substitute values and solve for r the equation of the time difference:

68/m + 3 = 68/r68/4r + 3 = 68/r17/r + 3 = 68/r17 + 3r = 683r = 68 - 173r = 51r = 17

Raul's speed is 17 mph

Answer:

[tex] \huge \boxed{ \boxed{ \red{ \tt17 \: mph}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationequation word problemsPEMDASgiven:Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycletips and formulas:t=d/sto findhow fast can Raul ride his bicyclelet's solve:

let's the speed of Raul be x

likewise

Miguel can drive 4 times as fast as Raul can ride his bicycle

therefore

4x

according to the question

[tex] \sf \frac{68}{4x}+3=\frac{68}{x}[/tex]

[tex] \implies \sf \frac{68 + 12x}{4x} = \frac{68}{x} [/tex]

[tex] \sf factor \: out \: 4 \: and \: reduce \: it : \\ \sf \implies \frac{4(17 + 3x)}{4x} = \frac{68}{x} \\ \\ \implies\sf \frac{17 + 3x}{x} = \frac{68}{x}[/tex]

[tex] \sf multipy \: both \: sides \: by \: x : \\ \sf \implies (\frac{17 +3 x}{x} )x = (\frac{68}{x} )x \\ \implies \sf 17 + 3x = 68[/tex]

[tex] \sf cancel \: 17 \: from \: both \: sides : \\ \implies \sf 17 - 17 + 3x = 68 - 17 \\ \implies \sf 3x = 51[/tex]

[tex] \sf divide \: both \: side s \: by \: 3 : \\ \sf \implies \frac{3x}{3} = \frac{51}{3} \\ \therefore x = 17[/tex]

Evaluate the expression
15 + 6 x 7 - 12 divided by 2

Answers

The answer is 51 first u multiply and divide then calculate

Answer:

22.5

Step-by-step explanation:

It is very important to use bidmas (the order of mathematical functions - standing for brackets, indices, division, multiplication, addition, subtraction) in this question. 15 + 6 x 7 - 12 divided by 2 can also be written as (15 + 6 × 7 - 12) ÷ 2. First, you should complete the multiplication to make (15 + 42 - 12) ÷ 2. Then, complete the addition which makes (57 - 12) ÷ 2. Afterwards, do the subtraction which makes it 45 ÷ 2. This is 22.5. I hope this helps!

Solve the equation for x. 2x + 22 = 4(x+3)

Answers

Answer:

x = 5

Step-by-step explanation:

We have the algebraic expression and are asked to solve for x.

To solve, we need to isolate x.

2x + 22 = 4(x + 3)

Distribute :

2x + 22 = (4(x) + 4(3))

2x + 22 = 4x + 12

Subtract 12 from both sides :

2x + 10 = 4x

4x = 2x + 10

Subtract 2x from both sides :

2x = 10

Divide 2 from both sides to get x alone :

x = 5

Answer:

x = 5

Step-by-step explanation:

We have the algebraic expression and are asked to solve for x.

To solve, we need to isolate x.

2x + 22 = 4(x + 3)

Distribute :

2x + 22 = (4(x) + 4(3))

2x + 22 = 4x + 12

Subtract 12 from both sides :

2x + 10 = 4x

4x = 2x + 10

Subtract 2x from both sides :

2x = 10

Divide 2 from both sides to get x alone :

x = 5

5у2 2is a power + бу - 4

Answers

Answer:

Its 5000

Step-by-step explanation 4883-3455=5000

3. His teacher praised him.​

Answers

what’s the question

hiii , does anyone know with work? thank you

Answers

Answer:

3√41

Step-by-step explanation:

The diagonal can be gotten using the pythagoras theorem

d² = l²+w²

d² = 12²+15²

d² = 144 + 225

d² = 369

d = √9*41

d = 3√41

Hence the diagonal is 3√41

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