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]
Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?
Answer:
14.14
Step-by-step explanation:
please find attached a diagram showing the stick and the jar
the length of the longest stick can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 10²
100 + 100 = 200
determine the square root of 200
= 14.14
Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily’s tea?
a.
$108.70
b.
$144.93
c.
$536.77
d.
$715.69
Answer:
d
Step-by-step explanation:
Answer:
its right
Step-by-step explanation:
A man sold two computers for Rs 24000 each on one ne
gained 20% and on the other he lost 20%. find his gain oras
percentage of his whole transaction
Help please!! Quickly!!
The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.
Answer:
Length = 10 yards Width = 5 yards
Step-by-step explanation:
2w x w = 50 yards²
2w² = 50 yards²
2w²/2 = 50 yards² / 2
[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]
w = 5
Area = l x w
= 10 x 5 = 50
length = 2w
width = w
length = 2(5)
length = 10 yards
The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.
Answer:
Whats the question?
Step-by-step explanation:
The coaches at Dobie High School recorded the number of miles ran by various students. What is the difference between the number of students who ran 2 and a half or three miles and the number of students who ran one or one and a half miles?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as a table or chart that shows the required data is not given.
To answer this, I will make use of the following frequency table
[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]
From the above table.
[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]
[tex]3\ miles \to 5\ students[/tex]
So:
[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]
[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]
From the above table.
[tex]1\ miles \to 10\ students[/tex]
[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]
So:
[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]
[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]
The difference (d) is then calculated by subtracting the number of students in both categories
[tex]d = 15\ students - 10\ students[/tex]
[tex]d = 5\ students[/tex]
PLEASE HELP!
1.Given the information provided for the right triangles shown here, find the unknown leg lengths to the nearest tenth.
2.The triangle shown here is not a right triangle. What are two different ways you change one of the values so it would be a right triangle? Sketch these new right triangles, and clearly label the right angle.
Answer:
1.
For triangle 1
[tex]a = 3\sqrt{5}[/tex]
For triangle 2
[tex]x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
Step-by-step explanation:
The complete question is attached in the image
Solution
1.
Both the triangles are right angled triangle
For triangle 1
[tex]7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3\sqrt{5}[/tex]
For triangle 2
[tex]4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
How do I solve this problem?
Step-by-step explanation:
Note 12 is the difference between the numbers..
hope it helps
A rectangular swimming pool has a base with measurements of 25 meters and 17 meters. The height of the pool is 2 meters, what is the volume of the pool
Answer:
850m³
Step-by-step explanation:
Volume is length X width X height.
So, 25 x 17 x 2 = 850 meters cubed
HELP ME OUT GUYS!!! Question is in the screenshot below.
Answer:1658.76 in^2
Step-by-step explanation:
2 - x = x - 8
ayudaaa
porfavor
Answer:
x=5
Step-by-step explanation:
2 - x = x - 8
- x = x - 8 - 2 (subtract 2 from both sides)
- x = x - 10 (combine like terms)
- 2x = - 10 (subtract x from both sides)
x = 5 (divide each side by -2).
Answer:
x = 5
Step-by-step explanation:
2 - x = x - 8
- x + 2 = x - 8
- x + 2 - 2 = x - 8 - 2
- x = x - 10
- x - x = x - x - 10
- 2x = - 10
- 2x ÷ - 2 = - 10 ÷ - 2
x = 5
The price of Stock A at 9 A.M. was $14.83. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $15.33. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
0.5 hoursStep-by-step explanation:
Let the x be the number of hours after noon.
We have the following equation:
14.83 + 0.12(x + 3) = 15.33 - 0.15x 14.83 + 0.12x + 0.36 = 15.33 - 0.15x0.12x + 0.15x = 15.33 - 15.190.27x = 0.14x = 0.14/0.27x ≈ 0.5Select the equation of the line parallel to y= -3x -5 the equation and that passes through the point (1,2)
Answer:
[tex]y=-3x+5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (b)Parallel lines always have the slope slopes and different y-intercepts1) Determine the slope (m)
[tex]y= -3x -5[/tex]
With the given line, we can identify clearly that -3 is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're currently solving for would also be -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,2) and isolate b
[tex]2=-3(1)+b\\2=-3+b[/tex]
Add 3 to both sides
[tex]2+3=-3+b+3\\5=b[/tex]
Therefore, the y-intercept of the line is 5. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+5[/tex]
I hope this helps!
What is the slope of the line that passes through the line
containing (-6, 1) and (4, 8)?
Which statement is true about the factorization of 30x2 + 40xy + 51y2?
O The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
O The polynomial can be rewritten as the product of a trinomial and xy.
The greatest common factor of the polynomial is 51x?y2.
The greatest common factor of the terms is 1.
Answer:
The Answer Is That "The Greatest Common Factor Of The Terms Is 1."
Step-by-step explanation:
Took The Test.
The polynomial is factorized and greatest common factor of the terms is 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = 30x² + 40xy + 51y² be equation (1)
Now , the expression can be factorized as
The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30
The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40
The factors of 51 = 1 , 17 , 51
Therefore , the greatest common factor is 1
Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²
To learn more about factorization click :
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PLEASE ANSWER EEEEEEEEEEEEEEEEEEE
Answer:
5 x 4 x 3 = 60
Step-by-step explanation:
Do - H x L x W
H is 5
L is 4
W is 3
PLEASE HELP! In a film study, a sample of 300 movies was found to have an average runtime of 116 minutes with a standard deviation of 15 minutes. What is the margin of error for any sample of movie runtimes with 90% confidence (z=1.64)?
Answer:
The answer is 1.42!!!!!!
Step-by-step explanation:
Pls what’s the answer
Answer:
D is correct option.
Step-by-step explanation:
g(x) =-3 root x-1.
Which function has an asymptote at x = 5 and an x-intercept of (6,0)?
OA
f(x) = log(x - 5)
B.
f(x) = log(x + 5)
OC. Ax) = log x-5
OD.
f(x) = log x + 5
Answer:
f(x) = log (x-5)
Step-by-step explanation:
__________
f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
What is a function?A relation is a function if it has only One y-value for each x-value.
we need to find the function which has an asymptote at x = 5 and an x-intercept of (6,0)
An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity.
There are three types of asymptotes: vertical, horizontal and oblique.
The asymptotes are lines, they are written as equations of lines. The vertical asymptotes are x = 5.
f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
Hence, f(x) = log(x - 5) is the function has an asymptote at x = 5 and an x-intercept of (6,0)
To learn more on Functions click:
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Use technology to find the line of best fit for the following data.
(−7,1), (2,9), (0,7), (−3,5), (−8,−2), (−1,2), (−6,−1), (−5,0), (0,5), (1,7), (−4,2), (3,7)
When the equation of the line is in the form y=mx+b, what is the value of m?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Answer:
m=0.9
Step-by-step explanation:
help me with my math please
find the area of the irregular figure. PLEASE!!
The sides are: 3 in, 4 in, 4 in, 5 in, 7 in, 9 in
geometry
Answer:
A = [84]in^2
Step-by-step explanation:
5 x 3 = 15
4 x 2 = 16
9 + 4 = 13 x 4 = 52
52 + 15 + 16 = 84in
What is the least common multiple of 8 and 18?
A
16
B
36
С
72
D
144
Answer:72
Step-by-step explanation:
Answer: the answer is D
Step-by-step explanation:
Simplify this expression to standard form: -3(2x -4) - 2
Answer:
−6x + 10
Step-by-step explanation:
- (−3) (2x) + (−3) (−4) + −2
- −6x + 12 + −2
- (−6x) + (12 + −2)
= −6x + 10
Anthony invested $1000 in a savings account at 2% simple interest. He invested the money for 4 years.
What is the total amount Anthony will have at 4 years?
Answer:
I dont know
Step-by-step explanation:
I really dont’ sorry
A new car cost $28,950. It loses 15% of its value each year. The formula V(t) = 28,950(1-0.15) models this situation. What does V(t) represent?
Answer:
the answer is 67789 because he will have enough money for the car to play
2x + 9/3x + 16
X =
= [?]
e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning.
Answer:
60 ft long bc that would leave 10ft on each side of the banner...Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!Answer:
Solution given:
length [l]=breadth [b]=40ft
Now
length of concession banner[h]=?
we have
perpendicular [p]=base[B]=40ft
by using Pythagoras law
h²=p²+b²
h²=40²+40²
h=√3200
h=40√2
So
the length of the concession stand to determine if the school banner can fit across the length of the concession stand is 40√2 ft or 56.57ft
Find the Surface Area of the figure. *
1 point
Step-by-step explanation:
A=2πrh+2πr^2
=2×22/7×3×6+2×22/7×3^2
=113.14+56.57
=169.71 m^2
Step-by-step explanation:
r = 3 cm
h = 6 cm
S. Area = 2πr² + h(2πr)= 2 × 3.14 × 3² + 6 (2 × 3.14 × 3)
= 56.52 + 113.04
= 169.56 cm²
#CMIIWThe number of pies available for sale at the Pie in the Sky Bakery varies over the course of the day, and given by P(t)=30-2t^2+16t, where t is the number of hours since the store opens in the morning. What is the average rate at which this number changes during the first t hours that the store is open
Answer:
30-2t^2+16t/t
Step-by-step explanation: