Answer:
a) [tex]F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}[/tex]
b) 0.03
c) 0.15
d) La media es 0.55
La varianza es 8.[tex]\overline 3[/tex]
Step-by-step explanation:
La variación del espesor del componente de la aeronave = 0.05 a 1.05
El pdf de la variable 'X' se da de la siguiente manera;
[tex]f(x) = \dfrac{1}{1.05 - 0.05} = 1[/tex] por 0.05 < x < 1.05
a)
[tex]F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}[/tex]
b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;
P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03
P(X > 1.02) = 0.03
La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03
c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;
P(X > x) = 1 - F(x)
∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)
x - 0.05 = 1 - 0.9 = 0.1
x = 0.1 + 0.05 = 0.15
∴ El espesor excedido en el 90% de los bordes, x = 0.15
d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;
[tex]El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}[/tex]
[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}[/tex]
Para la distribución de espesor de borde dada, tenemos;
0.05 < x < 1.05
[tex]\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55[/tex]
El significado E(X) = 0.55
[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3[/tex]
La varianza, V(X) = 8.[tex]\overline 3[/tex]
simplify the expression below. (-5 × -4)÷(-3+5)
Answer:
-10
Step-by-step explanation:
Answer: =10
Step-by-step explanation: Hope this help :D
(-5)(-4)/-3+5
=20/-3+5
=20/2
=10
Can someone help ASAP
Answer:
i dont see the pic
Step-by-step explanation:
what is the theorem related to this triangle!!!! plss hurry up!!!!!
Answer:
Its an isosceles triangle..
Step-by-step explanation:
The perimeter of a regular 11-sided polygon is 330cm.
Calculate the length of one side.
Tell how you work it out
Answer:
I don't know how to work it out because I have not answered this question
A bag contains colored tiles.
3 tiles are red
6 tiles are green
3 tiles are blue
Two tiles will be randomly selected from the bag with replacement. What is the probability that the first tile selected will be green and the second will be red?
A.12
B,322
C,311
D.18
Answer:
D?
Step-by-step explanation:
I don't really know for sure but I think it's D..Im super sorry if I get this wrong I'm not that good at math.
Name the minor arcs in the circle
Select all the minor arcs by their correct names.
Answer: R A C P J
Step-by-step explanation:
whats the area of this?
Match each object which the characteristics.
Answer:
Ray goes with horizon
Line goes with a broom handle
Parallel lines goes with rows of seats on a plane
Line segment goes with a sun ray
Point goes with cookie crumb
Perpendicular lines goes with the letter T
Step-by-step explanation:
Not sure how to explain it
Mrs. Porte wrote the equation below on the board.
ax+7=8x+b
Enter values of a and b for which x has infinitely many solutions in Mrs. Porte’s equation.
Answer:
a = 8
b = 7
Step-by-step explanation:
For us to have infinitely many solutions, then what we have on the right side must be equal to what is on the left
In this case, our a value will be equal to 8 whole out b value will be equal to 7
What is the side length of the square with an Area of 25/81 in^2?
Answer:
[tex]\frac{5}{9}[/tex] in
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length )
Given A = [tex]\frac{25}{81}[/tex] , then
s² = [tex]\frac{25}{81}[/tex] ( take the square root of both sides )
s = [tex]\sqrt{\frac{25}{81} }[/tex] = [tex]\frac{\sqrt{25} }{\sqrt{81} }[/tex] = [tex]\frac{5}{9}[/tex]
please help with math!!
Answer:
Trinomial
Step-by-step explanation:
If there is 1 term, monomial
2 term - binomial
3 term- trinomial
Na curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches. Which measure of the cylinder will be 8 inches? the radius of the base the diameter of the base the area of the base the circumference of the base
Answer: Tina curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches
Brainliest or a thank you please ! :))
Find the missing length of the right triangle.
Here is the other one.................
Answer:
2+2sec2∅tan²∅-sec⁴∅-tan⁴∅2+2sec2∅tan²∅-sec⁴∅-tan⁴∅)2-(sec⁴∅-2sec∅tan∅+tan⁴∅)2-(sec²∅-tan²∅)²2-(1)²1 is a required answer.[Note sec²x-tan²x=1]
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 121 kilograms. A
delivery of 6 large boxes and 2 small boxes has a total weight of 136 kilograms. How much does each type of box weigh?
Weight of each large box: [kilogram(s)
Weight of each small box: kilogram(s)
?
Answer:
136 yhdiby8sruygftdtuggdyubhAnswer:
Weight of each large box: 18.25kg
Weight of each small box: 13.25kg
Step-by-step explanation:
For this question, we have two unknowns, but we can solve them as we are given two equations.
If we use the variables 'L' for Large and 'S' for small, we an write out the information given to us as equations:
3L + 5S = 121
6L + 2S = 136
Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:
2(3L + 5S) = 2(121)
=> 6L+10S=242
Now that we have one term which is the same, we can subtract one equation from the other:
6L+ 10S = 242
- (6L + 2S = 136)
------------------------
=>0L + 8S = 106
Now we can solve for S:
8S/8 = 106/8
S = 13.25
And use this value of S to solve for L:
3L + 5(13.25) = 121
3L + 66.25 = 121
3L + 66.25 - 66.25 = 121 - 66.25
3L = 54.75
3L/3 = 54.75/3
L = 18.25
Hope this helped!
Express the ratio of 300 miles to 25 gallons of gasoline as a unit rate. Simplify your answer. Show your work
Answer:
1 gallon to 12 miles
Step-by-step explanation:
Distance = 300 miles
Gasoline used = 25 gallons
Expressing as a unit rate :
Distance covered per gallon of gasoline :
Distance / gasoline used
300 / 25
12 miles
Hence, the unit rate is :
1 gallon of gasoline = 12 miles
1 gallon of gasoline will cover 12 miles in distance.
vvv Please help vvv
Find the value of x.
What value of n makes the equation true? Show your work.
Answer:
5n
Step-by-step explanation:
(7^5 * 7^n) ^ 4 = (7^11/7^n)^3
7^(20 + 4n) = 4.7^15 / n^3
= 20/4 = 5n and 15/3 = 5n
Answer 5n
Find the volume of the pyramid. Write your answer as a fraction or mixed number. ft3
Answer:
Volume of pyramid = [tex]1\frac{1}{3}[/tex] feet³
Step-by-step explanation:
Given:
Length of base = 2 feet
Width of base = 1 feet
Height of pyramid = 2 feet
Find:
Volume of pyramid
Computation:
Area of base = Length x Width
Area of base = 2 x 1
Area of base = 2 feet²
Volume of pyramid = (1/3)(A)(h)
Volume of pyramid = (1/3)(2)(2)
Volume of pyramid = (1/3)(4)
Volume of pyramid = 4/3
Volume of pyramid = [tex]1\frac{1}{3}[/tex] feet³
I need help please you haft to use elimination to solve thanks
5,000 is what percent of 10,000
Answer:
50%
Step-by-step explanation:
it's half
Answer:
5,000 is half of 10,000
Step-by-step explanation:
5,000 x 2 = 10,000
10,000 divided by 2 = 5,000
5,000 plus 5,000 = 10,000
1/2y+3.2y=20 need some help, not very good with functions :/ asap tho pls-
Answer:
hopefully this will help you on your journey!
The area of a triangular sail is given by the expression
bh, where b is the length of the base and h is the height.
What is the area of a triangular sail in a model sailboat
when b = 16 inches and h = 9 inches?
in?
The area of a triangular sail in a sail model is
Answer:
72in^2
Step-by-step explanation:
Area of triangle:
base*height/2
Area = 16*9/2
Area = 72in^2
Ans the question............
very urgent
Answer:
It's false.
Step-by-step explanation:
By breaking the middle term.
Put the root into equation, if it equals 0, then it's a root.
2x^2+3x-1=0
2(1/2)^2+3(1/2)-1=0
2(1/4)+3/2-1=0
2/4+3/2-1=0
1/2+3/2-1=0
(1+3-1*2)/2
4-2/2 = 1
1 is not equal to 0.
Please help, I need answers ASAP.......
Answer:
hope it is helpful to you
Write the equation of the line in slope-intercept form that contains the points (4, -1) and (9, 9).
Answer:
y = 2x - 9
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - (-1) / 9 - 4
10 / 5
= 2
y = 2x + b
-1 = 2(4) + b
-1 = 8 + b
-9 = b
Help.
Cannot figure out fractions
Answer:
62 [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Is x+y is an algebraic expression?
Step-by-step explanation:
Yes because it consists of letters
Answer:
its really x+y−π that is an algebraic expression
Step-by-step explanation:
It depends on the definition, and ur age i guess but i think yes
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Please help :( how you do the bottom part
Answer:
1. x = 14
2. (14, 115.18)
3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.
Step-by-step explanation:
The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.
To do the first question, you simply have to make the equation from the story problem.
These equations are usually in the slope intercept form, y = mx + b
C(x) is the same as y, so begin by replacing it for simplicity.
If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.
y = 7.87x + 5
Now we can substitute variables to solve the equation.
To find x when C(x) = 115.18, we substitute y for 115.18.
115.18 = 7.87x + 5
Subtract 5 from both sides:
110.18 = 7.87x
Divide both sides by 7.87:
14 = x
So we have our first answer. When C(x) = 115.18, x = 14.
The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.
This means, as an ordered pair, the answer is (14,115.18).
The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.
Hope this helped!
Find the roots of f(x)=x2+9x-36.
x = _____ or x = _____
Hi there!
[tex]\large\boxed{x = -12, 3}[/tex]
The roots of a function are when f(x) = 0, so:
0 = x² + 9x - 36
Find two numbers that multiply to -36 and add up to 9.
We get the numbers 12 and -3, so:
0 = (x + 12)(x - 3)
Set each equal to 0 to find the x value:
0 = x + 12
x = -12
0 = x - 3
x = 3