The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges
Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that [tex]a = 0.95, b = 1.05[/tex]
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
[tex]P(X > x) = 0.9[/tex]
So
[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]
[tex]1.05 - x = 0.9*0.1[/tex]
[tex]x = 1.05 - 0.9*0.1[/tex]
[tex]x = 0.96[/tex]
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
HELP PLZ, 100 points!!!
hope it helps you ❣️
Answer:
10.25%
Step-by-step explanation:
Let the original number be represented with x.
Increase by 5% = 5% of x = 5/100 x X = 0.05x
So, the next number = x + 0.05x = 1.05x
Increase again by 5% = 5% of 1.05x = 5/100
x1.05x = 0.05 x 1.05x = 0.0525
So, the current number = 1.05x + 0.0525x =1.1025x
[tex] \frac{1.1025x - x}{x} = 0.1025 \times 100 = 10.25\%[/tex]
Simplify 5u^2w^3 x 7uw^3
Answer:
35u³w⁶
Step-by-step explanation:
Given:
5u²w³
and
7uw³
Find:
Product
Computation:
5u²w³ x 7uw³
35u³w⁶
find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0
Answer:
The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.
Step-by-step explanation:
Someone pls explain what to do and give answer <3 thank you
Answer:
you just have to add everything together.
Step-by-step explanation:
H=6
E=x+5
F=12
D=9
G=6
If a square has an area of 25x², write an expression for the length of one side.
:)
Since all sides of a square are the same, the area of a square is one side squared.
Meaning if a square had a side of 4, the area would be 16 since 4 squared is equal to 16.
The opposite is to square root the area. If you calculate the square root of 16, you get 4.
In this situation, we have to square root "[tex]25x^{2}[/tex]." We can split the area up into "25" and [tex]x^{2}[/tex]. The square root of 25 is 5, and the square root of x squared is just x. Multiply 5 and x together, you get 5x.
Easy as that, you get your answer!
5x
Please find the square root. Round your answer to the nearest tenth.
√81.4 =
0Answer: 9.0
Step-by-step explanation:
.
factor out the combine term 21x+49y
Given the triangle shown below, find the length of [BC]
Hyp²=ADJ²+OPP²
28²=17²+X²
784=289+x²
x²=784-289
x²=495
x=22
here is your answer 22
HURRY I NEED HELP!!!
Answer: 6 plus 15 and give me brainlest
Step-by-step explanation:
Answer:
complementary angles add to 90°
create an equation for both of the angles:
90= 3x + 10 + x
solve for x by combining like terms:
90= 4x + 10
solve for x by removing 10 from both sides:
80= 4x
solve for x by dividing by 4 on both sides:
20=x
and you get your answer of x=20
To check your answer plug in 20 for x in the equation above:
90= 3(20) + 10 + 20
90= 60 + 30
90=90
Find the area of the shape shown below.
Answer:
6
Step-by-step explanation:
Area of sq:
A = bh
A = (2)(2)
A = 4
Area of triangle:
A = 1/2bh
A = 1/2(2)(2)
A = 2
Combined:
4 + 2 = 6
45,678 in unit form
PLEASE NO LINKS I REALLY NEED HELP
Evaluate. 32−[(4+2×3)×2] Enter your answer in the box.
will give brainliest!!!!!
HELP ME NOW PLEASE!!!!!
The question says "State the coordinates of Point G after a rotation of 90 degrees clockwise followed by a dilation with scale factor 2." The coordinates are G(4.5, 3).
Answer:
Hiiiiiiiiiiiii Picture pls?
Step-by-step explanation:
:))
Please answer ASAP
Will mark BRAINLYEST and 40 points
Answer:
a. a + 10 is the correct option.
Answer:
D
Step-by-step explanation:
Higher Order Thinking a carpenter plans to extend the length of rectangular desk by 7 feet. Let x represent the desk's original length. The expression 96 + 7) represents the area of the desk surface where 9 is the width, in feet, and () represents the extended length, in feet, of the desk. The carpenter thinks that the area of the extended portion of the desk is 16 square feet Which choice below includes the expanded form of the area expression for the deck's surface and the correct area of the extended portion of the desk's surface?
a. 10x + 16 and 10k square feet
b. 9x+63 and 9x square feet
c. 9x + 7 and 7 square feet
d. 9x + 63 and 63 square feet
Answer:
d. 9x + 63 and 63 square feet
Step-by-step explanation:
Given
Original
[tex]Length = x[/tex]
[tex]Width = 9[/tex]
Extended
[tex]Length = x + 7[/tex]
[tex]Width = 9[/tex]
[tex]Area = 9(x + 7)[/tex]
Required
Determine an expression and the value of the extended area
First, we calculate the area of the original desk
[tex]A_1 = x * 9[/tex]
[tex]A_1 = 9x[/tex]
From the given parameters, we have:
[tex]Area = 9(x + 7)[/tex] --- area of the new surface
Open bracket
[tex]Area = 9x + 63[/tex]
The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)
So:
[tex]Area = A_1 + E[/tex]
Make E the subject
[tex]E= Area - A_1[/tex]
[tex]E= 9x + 63 - 9x[/tex]
[tex]E= 63[/tex]
Hence, the area of the extended portion is 63
What is the slope of the line below?
(1-2)
(
4-2)
A. negative
B. undefined
C. positive
D. Zero
Answer: D. Zero
Step-by-step explanation:
It’s a flat line. Flat horizontal lines are ALWAYS zero
If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.
Answer:
240
Step-by-step explanation:
We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.
Hope I helped
Answer:
240
Step-by-step explanation:
50%*x=150
0.5x=150
x= 300
30%*x=90
0.3x= 90
x= 300
80%*300=
0.8*300= 240
Y= 5x -8 function rule
Answer:
Step-by-step explanation:
a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern
Answer:
first term of the pattern (T₁) : 10
Step-by-step explanation:
T₁ ; 1 ; -6 ; T₄ ; -14
1-T₁ ; -6-1 ; T₄-(-6) ; -14 -T₄ (First Tₙ-Tₙ₋₁)
-8+T₁ = T₄+13 = -2T₄-20 (2nd Tₙ-Tₙ₋₁ is constant)
T₄+13 = -2T₄-20 3T₄ = -33 T₄ = -11
-8+T₁ = T₄+13 -8 + T₁ = -11 + 13 = 2
T₁ = 10
May you please help me figure out every angle?
Answer:
<D = 82°
<E = 49°
<F = 49°
Step-by-step explanation:
This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.
Please help me with my homework
Answer:
0.8
Step-by-step explanation:
0.4*2=0.8
hope this helps.
Please help me ASAP
WILL MARK BRAINLY
3. When using the vertical method to multiply polynomials, your like terms must be lined up in what
rows
columns
descending order
ascending order
Answer:
column
Step-by-step explanation:
hope it will help you
Answer:
B. Columns
Step-by-step explanation:
Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?
A-5
B-6
C-7
D-8
E-9
Answer: E) 9
Step-by-step explanation:
1.12/4 = 0.28
2.52/0.28 = 9
Answer:
9
Step-by-step explanation:
To find how much each apple costs, you have to divide the price by how many apples he brought.
1.12/4 = 0.28
Each apple costs $0.28
Now, you have to divide 2.52 by 0.28.
2.52/0.28 = 9
He can buy 9 apples at the same price with $2.52.
A survey asked people of different ages whether they get their news by reading the paper. What is the probability that a person surveyed is under 40 and gets the news by reading the paper?
Answer:5%
Step-by-step explanation:
The probability is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Here the percentage that the person is surveyed under 40 and read newspaper is 5%. The correct option is B.
What is probability?Probability is the measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can only predict the chance of an event to occur. The probability of all the events in a sample space adds up to 1.
The value is expressed from zero to one. Here zero means the event is impossible.
Here the total person under 40 = 40
The total number of persons = 80
Those who read the newspapers under 40 = 4
Then the probability is given as:
4 / 40 × 40 / 80 × 100 = 0.05 × 100 = 5%
Thus the percentage of persons who read newspaper is 5%.
Thus the correct option is B.
To know more about Probability, visit;
https://brainly.com/question/24159069
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WILL GIVE BRAINLEST This list gives the areas of different garden plots in square meters.
5.5, 6.5, 6.0, 6.0, 6.5, 6.0, 6.5, 7.0, 5.5, 6.5, 5.5, 6.0, 7.0, 5.5, 5.5, 6.5, 6.0, 6.5, 6.5, 6.0, 7.0
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.
Answer:
Step-by-step explanation: Let me help
Answer:
i go k 12 i im taking the test rn
Step-by-step explanation:
5.5 6.0 6.5 7.0
3
7
6
5
resulve las siguientes operaciones matematicas en tu cuadernk
Dijo "Resuelva las siguientes operaciones matemáticas en su cuaderno", pero no indicó su cuaderno en la pregunta. Por favor arregle esto.
Calculate the sum of 45 and 39
Answer:
84
Step-by-step explanation:
45 + 39 = 84
452 x 12 _____ = 452
fill in the blank
Answer:
38 remander 8
Step-by-step explanation: