Answer:
2 km 691 m
Step-by-step explanation:
5 km - 2 km 309 m
= 5000 m - 2309 m
= 2691 m
= 2 km 691 m
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function for . Determine the following (round all of your answers to 3 decimal places): (a) Enter your answer in accordance to the item a) of the question statement .972 (b) Enter your answer in accordance to the item b) of the question statement .0123 (c) Enter your answer in accordance to the item c) of the question statement .028 (d) Enter your answer in accordance to the item d) of the question statement .972 (e) Determine such that . Enter your answer in accordance to the item e) of the question statement
Complete Question
The complete question is shown on the first uploaded image
Answer:
a [tex]P(X < 5) = 0.960[/tex]
b [tex]P(X > 8) = 0.016[/tex]
c [tex]P(6 < x < 10) = 0.018 [/tex]
d [tex] P(X < 6 or X > 10 ) = 0.982 [/tex]
e [tex]X = 2[/tex]
Step-by-step explanation:
From the question we are told that
The probability density function is [tex]f(x) = \frac{2}{x^3}[/tex] for x > 1
Considering question a
[tex]P(x < 5) = \int\limits^5_1 {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(X < 5) = [-\frac{1}{x^2} ]| \left \ 5} \atop {1}} \right.[/tex]
=>[tex]P(X < 5) = - \frac{1}{25} + \frac{1}{1^2}[/tex]
=> [tex]P(X < 5) = 0.960[/tex]
Considering question b
[tex]P(x > 8) =1 - \int\limits^6_1 {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(X > 8) =1- [-\frac{1}{x^2} ]| \left \ 8} \atop {1}} \right.[/tex]
=>[tex]P(X > 8) = 1 - [- \frac{1}{64} + \frac{1}{1^2}][/tex]
=>[tex]P(X > 8) = 0.016[/tex]
Considering question c
[tex]P(6 < x < 10) = \int\limits^{10}_{6} {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(6 < x < 10) = [-\frac{1}{x^2} ]| \left \ 10} \atop {6}} \right.[/tex]
=>[tex]P(6 < x < 10) = [- \frac{1}{100} + \frac{1}{36}][/tex]
=>[tex]P(6 < x < 10) = 0.018 [/tex]
Considering question d
[tex] P(X < 6 or X > 10 ) = 1 - P(6 < x < 10) = 1 - \int\limits^{10}_{6} {\frac{2}{x^3} } \, dx[/tex]
=> [tex] P(X < 6 or X > 10 ) =1- [-\frac{1}{x^2} ]| \left \ 10} \atop {6}} \right.[/tex]
=> [tex] P(X < 6 or X > 10 ) =1- [- \frac{1}{100} + \frac{1}{36}][/tex] [/tex]
=> [tex] P(X < 6 or X > 10 ) = 0.982 [/tex]
Considering question e
[tex]P(X < x ) = \int\limits^x_1 {\frac{2}{x^3} } \, dx = 0.75[/tex]
[tex]P(X < x ) = [- \frac{1}{x^2} ]| \left \ x } \atop {1}} \right. = 0.75[/tex]
[tex]P(X < x ) = - \frac{1}{x^2} - [- \frac{1}{1^2} ]= 0.75[/tex]
[tex]P(X < x ) = - \frac{1}{x^2} + 1 = 0.75[/tex]
[tex] - \frac{1}{x^2} = -0.25[/tex]
[tex]X = 2[/tex]
3/10 equivilant fraction
answer : 6/20
Calculate The Fractions!
Equivalent Fractions for 3/10:
Important: 3/10
looks like a fraction, but it is actually an improper fraction.
There is an infinity number of equivalent fractions to 3/10
.
To find an equivalent fraction to 3/10
, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:
By multiplying the original fraction by 2, we get:
3 × 2
10 × 2
= 6/20
Answer:
the answer is 6/20
Step-by-step explanation:
3×2
10×2
simplify: -10+3r+2r²-r
Answer:
2r^2+2r-10
Step-by-step explanation:
collect the like terms
the like terms are
3r and r
-10+2r+2r^2
reorder the terms
2r^2 +2r-10
2x5.2 is greater than 2.2x5 true or false?
Answer:
false
Step-by-step explanation:
2x5.2=104
2.2x5=110
Can someone please help me?
Answer:
a
Step-by-step explanation:
Match the vocabulary terms to the correct definitions.
1.
a number that when multiplied by itself (squared) equals a
given number
2) perfect square
any rational number that is the square of another rational
number
3) a number which, when in decimal form, does not terminate or
repeat
answer choices: square root , perfect square , irrational number
Answer:
1) Square root
2) Perfect Square
3) Irrational Number
Step-by-step explanation:
100 Points
Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x, with initial condition y(1) = 1.
Answer:
y = 0.2 * exp ((3/2) x ^ 2)
Domain: all real numbers
Step-by-step explanation:
Juan will divide the fraction below. Which method should he use to divide?
Answer:
its A :)brainly?
Step-by-step explanation:
Bianca, Vincent, and Julian are each reading a book of the same length. Bianca’s book is divided into {6}6 chapters of equal length and she has read one of them. Vincent’s book is divided into {16}16 chapters of equal length and he’s read {8}8 chapters. The book Julian is reading has {8}8 chapters of equal length and Julian has read {4}4 of them. Which two people have read the same number of pages of their book?
Answer:
Vincent and Julian
Step-by-step explanation:
Vincent has read 1/2 his book and so had Julian
Abigail sells dolls at her doll store. If she sells a doll for $55, and there is 8% sales tax, what is the tax amount a customer will pay on one doll? Round your answer to the nearest cent.
help please
Answer:
The tax amount a customer will pay on one doll is $4.4
Step-by-step explanation:
To find 8% of 55, you multiply .08 by 55, which is 4.4
Please give brainliest!
The amount of wheat exported by Canada on average is
approximately 2.21 × 107 tons per year. The amount of
wheat exported by Mexico on average is approximately
8.5 × 105 tons per year. How many times more wheat
does Canada export per year?
The amount of wheat exported in Canada is 2.6 x 10 tons per year.
What is standard form?Standard form is used to transform large numbers into smaller number. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example: the number 1 x 10² is equivalent to 100
How many times large is the wheat exported from Canada?2.21 x 10^7 ÷ 8.5 x 10^5 = 0.26 x 10^2 = 2.6 x 10
To learn more about standard form, please check: https://brainly.com/question/25334755
help me out pls I will mark u brainlist if u answer the question.
Answer:
hey sorry I just need points lol
Step-by-step explanation:
really sorry but education is important, dont cheat <3
PLS HELP
Draw out a two column proof for each problem below.
Make sure to start with your given statement and write out each statement and reason.
Answer and Explanation:
See attached image.
Ross drives 366 miles in 6 hours .if ross continues to drive at the same rate how many miles can he drive in 18 hours
How would 2.15 be represented as a percent?
A. 0.0215%
B. 21.5%
C. 215%
D. 2,150%
Answer:
c is the best answer
Step-by-step explanation:
Answer:
0.0215%
Step-by-step explanation:
Write an equation of the line that satisfies the given conditions. Through (−9,−1), perpendicular to −9x+y=3. Answer in slope-intercept form.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]-9x + y = 3\implies y = \stackrel{\stackrel{m}{\downarrow }}{9} x +3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {9\implies \stackrel{slope}{\cfrac{9}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{9}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{9}}}[/tex]
so we're really looking for the equation of a line whose slope is -1/9 and passes through (-9 , -1)
[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{1}{9}}(x-\stackrel{x_1}{(-9)}) \\\\\\ y+1=-\cfrac{1}{9}(x+9)\implies y+1=-\cfrac{1}{9}x-1\implies y=-\cfrac{1}{9}x-2[/tex]
Please watch this instructional video, prior to solving the math problem.
Answer:
vidio no vidioe is not explained
Use the diagram shown. Solve for x. Find the angle measures to check your work. (Edit: nevermind i got the answer)
Answer:
x = 9
m<AOB = 29°
m<BOC = 57°
m<COD = 29°
Step-by-step explanation:
Given:
m<AOB = (4x - 7)°
m<BOC = (5x + 12)°
m<COD = (2x + 11)°
The diagram shows <AOB is congruent to <COD.
Set both angles equal to each other to find x.
m<AOB = m<COD
4x - 7 = 2x + 11
Collect like terms
4x - 2x = 7 + 11
2x = 18
Divide both sides by 2
2x/2 = 18/2
x = 9
Find the measure of each angle by plugging in the value of x into each expression for each angle:
m<AOB = (4x - 7)° = 4(9) - 7 = 36 - 7 = 29°
m<BOC = (5x + 12)° = 5(9) + 12 = 45 + 12 = 57°
m<COD = (2x + 11)° = 2(9) + 11 = 18 + 11 = 29°
• A baker uses 3 tablespoon of melted butter for every kilogram of flour.
How many tablespoons of melted butter he used for 13 kilograms of
flour?
2
חח ך
Answer:
48.6 tablespoons
Step-by-step explanation:
If for every kg of flour 3.6 (3 3/5) tablespoons are used, then for 13.5 (13 1/2) kgs: 3.6 × 13.5 = 48.6 tablespoons are used.
From the question,
[tex]3\frac{3}{5}[/tex] tablespoons of melted butter = 1 kilogram of flour
The number of tablespoons of melted butter the baker can use for 13 kilograms of flour is calculated as
1 kilogram of flour = [tex]3\frac{3}{5}[/tex] tablespoons of melted butter
[tex]13\frac{1}{2}[/tex] kilograms of flour = b
Cross multiply
1 kilogram of flour x b = [tex]13\frac{1}{2}[/tex] kilograms of flour x [tex]3\frac{3}{5}[/tex] tablespoons of melted butter
b = [tex]13\frac{1}{2}[/tex] kilograms of flour x [tex]3\frac{3}{5}[/tex] tablespoons of melted butter /1 kilogram of flour
b = 48.6 tablespoons of melted butter
Therefore, the baker would use 48.6 tablespoons of melted butter for [tex]13\frac{1}{2}[/tex]kilograms of flour.
To learn more, visit the link below:
https://brainly.in/question/38507932
What is the area of a triangle that has a base of 10 ft and a height of 5 ft? A-15ft B-7.5ft C-25ft D-50ft
Answer:
25
Step-by-step explanation:
formula for triangle is (b*h)/2=A
what is the measure of <ABC?
Answer:
95°Step-by-step explanation:
Given
Parallel lines AD and BCAB is reversal therefore
∠ABC and ∠DAB are supplementary anglesAs per definition, supplementary angles add up to 180°:
∠ABC + ∠DAB = 180°∠ABC + 85° = 180°∠ABC = 180° - 85° = 95°the radius of a circle is 10cm what is the circumference?
Answer:
Circumference is 62.83 cm.
Step-by-step explanation:
c = 2 * pi * r
c = 2 * pi * 10
c = 62.83 cm
How many miles did Candice bike on her route ?
Answer:
what are your options
Step-by-step explanation:
An irrational number is close to 4.5. What could it be? List at least 4 possibilities.
Answer:
think about what is in between 4 and 4.5
you could put 4.4, 4.3, 4.25, 4.1 etc.
Which set of coordinates describes a function?
A {(2, -4), (-2, -7), (0, 2), (-3, 8)}
B {(8, 9), (1, 5), (1, 6), (-1, 11)}
C {(6, -4), (-3, -3), (-8, -8), (6, -1)}
D {(8, 3), (-8, -4), (2, 7), (2, 2)}
Answer:
Choice A describes a function
Step-by-step explanation:
Relations and Functions
A relation is a set of inputs and outputs with no restrictions. A function is a relation with one output for each input.
This means that if at least one input has more than one output, it's not a function.
Analyzing each choice:
A: It can be noted that each input (2,-2,0,-3) has only one output. Thus this set describes a function.
B: Input 1 has two outputs (5,6), thus this is not a function.
C: Input 6 has two outputs (-4,-1), thus this is not a function.
D: Input 2 has two outputs (7,2), thus this is not a function.
The population of a city increased from 805,743 in 1995 to 1,013,751 in 2005. What is the percent of increase? Round to the nearest tenth of a percent.
Answer:
26%
Step-by-step explanation:
Given:
The population of a city increased from 805,743 in 1995 to 1,013,751 in 2005.
Percent of Change:
Increase divide by Original times 100
Solve:
1,013,751 - 805,743 = 208,008
208,008 ÷ 805,743 × 100
= 25.8156757179
= 26%
~Lenvy~
Permutations/combinations: Really need some help!
Q. The 12 houses on one side of a street are numbered with even numbers starting at 2 and going up to 24. A free newspaper is delivered on Monday to 3 different houses chosen at random from these 12. Find the probability that at least 2 of these newspapers are delivered to houses with numbers strictly greater than 14.
Answer:
hello
probability = 5 /12
Step-by-step explanation:
WILL GIVE BRAINLIEST
For what values of k will each relation not be a function A={(k^2,16),(4k,32)}
Answer: 0, 4
Step-by-step explanation:
need help with geometry problem
Answer:
the answer is A your welcome
Step-by-step explanation:
what is the value of x?
enter your answer in the box
Answer:
2(x+10) = 3x-30 (reason: vertical angles are congruent)
2x+20 = 3x-30
20 = 1x-30
1x = 20+30
1x = 50
x = 50