Answer:
x = 64
Step-by-step explanation:
2/x = 1/32
cross multiply
2 × 32 = x × 1
64 = 1x
64 = x
2x5.2 is greater than 2.2x5 true or false?
Answer:
false
Step-by-step explanation:
2x5.2=104
2.2x5=110
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]
Bongeka purchased a new refrigerator and were expected to pay R1 684,00 five months ago and another R1 323,00 in eight months’ time. She could not make the payment five months ago, but after receiving a bonus at work, she rescheduled to repay the loan in two equal payments, the first due in two months and the second due in five months’ time. The payment at month five will settle the debt, therefore, the settlement date is month five. The debts and payments are subject to the same interest rate of 11,4% per annum, compounded monthly.
The discount factor computed shows that the value of each payment will be $1546.
How to calculate the payment?The following can be deduced from the information:
Payment due in 5 months = $1684
Payment due in 8 months = $1323
Annual interest = 11.40%
Monthly interest rate = 11.40%/12 = 0.95%
Present value of payment due 5 months ago = $1684 + (1 + 0.95%)⁵ = $1765.52
Present value of payment due 8 months ago = $1226.62
Total present value = $1765.52 + $1226.62 = $2992.14
After rescheduling, the payments will be in 2 months and 5 months.
Discount factor for payment due in 2 months = 0.9813
Discount factor for payment due in 5 months = 0.9538
Combined discount factors= 0.9360
Therefore, the value of each payment will be:
= $2992.14/(1 + 0.9360)
= $1546
Learn more about discount factor on:
https://brainly.com/question/24286983
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:
How can you tell when an equation in one variable has infinitely many solutions or no solution?
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Answer:
U can tell it b doing 5+7_1
Step-by-step explanation:
5 1/6 + 7 1/3 helpppppppp fasssssssssttttttt
Answer:
12 and 1/2 (12.5)
Step-by-step explanation:
Answer:
12 3/6
Step-by-step explanation:
Broken Down :
5 + 7 = 12
1/3 = 2/6
2/6 + 1/6 = 3/6
So, 12 3/6
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!
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:
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.
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
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
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
Convert 3 3/8 to an improper fraction
Answer:
The improper fraction for the mixed number 8 3/8 is 67/8. To find this, the first step is to multiply the denominator of the fraction (8)
66/8
why?
8x8+2 =66/8.
Simplify =33/8
Kylie borrowed $30 from her mother to buy a shirt. After three weeks of doing chores she pays her mother back $24. What percent of the debt has she paid her mother back?
Answer:
80%
Step-by-step explanation:
Set up a proportion, as shown in picture
Answer:
80%
Step-by-step explanation:
she would have 6 dollars to pay still
Need to know quick please
[tex]check \: photo \: for \: detailed \: analysis[/tex]
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°
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
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:
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:
Can someone please help me?
Answer:
a
Step-by-step explanation:
ASAP
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
x+3y=0
Answer:
[tex]y=\frac{-1}{3} x\\[/tex] or [tex]y=\frac{-1}{3} x + 0[/tex]
The slope is [tex]-\frac{1}{3}[/tex]
The y-intercept is 0
Step-by-step explanation:
[tex]x+3y=0\\x-x+3y=0-x\\\frac{3y}{3}=\frac{-x}{3} \\\\ y=\frac{-1}{3} x[/tex]
Answer:
Step-by-step explanation:
Isolate y to put into slope-intercept form
x + 3y = 0
3y = -x
y = - 1/3x
Slope is -1/3
Intercept is 0
Juan will divide the fraction below. Which method should he use to divide?
Answer:
its A :)brainly?
Step-by-step explanation:
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
Inequality question . Appreciate the help with this question . Thank you .
Answer:
B, the inequality -16.3<-10.9 means that the average winter temperature in state M is colder than the average winter temperature in state O
Step-by-step explanation:
If a number is in the negatives then the bigger those numbers are, the colder it would be.
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.
is the following relation a function?
Answer:
No, it is not a function.
Step-by-step explanation:
It is not a function, because for every X there should only be one Y.
Answer:
No.
You cant have one to many, it's too vague.
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:
Mrs. Bennett has a collection of nickels and dimes worth $8.50. If she has 120 nickels and dimes, how many of each does she have?
No Solution
No Solution
(50 , 70)
(50 , 70)
Infinitely many Solutions (IMS)
Infinitely many Solutions (IMS)
(70 , 50)