Answer:
k = - 10
Step-by-step explanation:
k - 3(k + 5) - 0.5 = 3(0.25k + 4) ← distribute parenthesis on both sides
k - 3k - 15 - 0.5 = 0.75k + 12
- 2k - 15.5 = 0.75k + 12 ( subtract 0.75k from both sides )
- 2.75k - 15.5 = 12 ( add 15.5 to both sides )
- 2.75k = 27.5 ( divide both sides by - 2.75 )
k = - 10
Write the slope-intercept for of the equation of the line with that passes through the point (2,-8) and is perpendicular to 2x+3y=15
Answer:
y = 3/2 x - 11
Step-by-step explanation:
Recall that a perpendicular line to the expression:
2 x + 3 y = 15
3 y = - 2 x + 15
y = - 2/3 x + 15/3
is going to have a slope equal to the opposite of the reciprocal of the original (-2/3) slope. So, the slope of the perpendicular line must be: 3/2.
We use this value in a general point-slope form of a line, where we use the point (2, -8) :
y - (-8) = 3/2 (x - 2)
y + 8 = 3/2 x - 3*2/2
y + 8 = 3/2 x - 3
y = 3/2 x - 3 - 8
y = 3/2 x - 11
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
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]
Can someone help me please??
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:
I WILL GIVE BRAINLIESTTT
Answer:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)
Step-by-step explanation:it’s a
b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.
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
Can someone please help me?
Answer:
a
Step-by-step explanation:
how do you write 1.14 million?
Answer:
1,140,000
Step-by-step explanation:
1 million = 1,000,000
So, 1.14 million = 1,140,000
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
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
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.
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:
A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 368 chocolate and 32 mocha. What percent of the cupcakes sold that day were chocolate?
Answer:
92%
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
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!
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)
Jayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply.
Answer:
its B, C and E
Step-by-step explanation:
Answer:
Jayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply. Best Option B, C
(B) 9 Superscript negative 3
(C) 3 Superscript negative 6
Step-by-step explanation:
F in class need help
what is 12222006783*46439
Answer:
567577772995737
hope this helps =3
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.
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:
Combine these radicals. Whos ever up I need this NOW!! 55 points
√27 - √3
= 3√3 - √3
= 2√3
I think the answer is the second one.
2x5.2 is greater than 2.2x5 true or false?
Answer:
false
Step-by-step explanation:
2x5.2=104
2.2x5=110
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:
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]
1/2 x - 12 = 12? Need Answer ASAP only have few mins left i studied whole night but forgot this question
Answer:
x = 48
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] x can be rewritten as [tex]\frac{x}{2}[/tex].
[tex]\frac{x}{2} - 12 = 12[/tex]
add 12 to both sides.
[tex]\frac{x}{2} = 12 + 12[/tex]
[tex]\frac{x}{2} = 24[/tex]
multiply both sides by 2.
[tex]x = 24 * 2[/tex]
x = 48
find the coordinates
Answer:
Take the number 10 and put it on the first box, next take the 315 degrees and put it on the 2nd box