Answer:
g<45
Step-by-step explanation:
since it says less than it faces <
Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2 per cubic millimeter. Deter mine the following:
a. Probability of at least one inclusion in a cubic millimeter.
b. Probability of at least 3 inclusions in 4.0 cubic millimeters.
c. Volume of material to inspect such that the probability of at least one inclusion is 0.98
d. Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
Answer and Step-by-step explanation:
Solution: given:
(a)
Mean = λ = µ = 2permm3
By using formula:
P(x = k) = λk e- λ / k!
P ( not A) = 1 – p(A)
Passion probability at k = 0
P( x = 0) = 20 e-2/ 0!
= 0.1353
Probability of at least one inclusion:
P(x≥1) = 1- p(x=0) = 1 – 0.1353
= 0.864
(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.
Mean = λ = µ = 2 per mm3
Inclusion in 4 cubic mm = 4 x 2 per 4 mm3 = 8 per 4 mm3
P(not A) = 1 – p(A)
Passion probability at k = 0,1,2
P(x=0) = 80 e-8 / 0!
= 0.00034
P(x = 1) = 81 e-8 / 1!
= 0.00272
P(x = 2) = 82 e-8 / 2!
= 0.01088
Probability at least 3 inclusion:
P(x≥3) = 1 – p(x<3) = 1 – p(x = 0) – p(x =1) – p(x = 2)
= 1 – 0.00034 – 0.00272 – 0.01088
= 0.98606
(c) . Volume of material to inspect such that the probability of at least one inclusion is 0.98
The probability of x ≥ 1 has to be equal to 0.98
P(x ≥ 1) = 0.98
P(x = 0) = p(x < 1)
= 1 – p(x≥ 1) = 1 – 0.98
= 0.02
Poission probability at k = 0
P(x = 0) = (2 n )0 e-2n / 0! = e-2n
e-2n = 0.02
taking ln on both sides :
-2 n = ln e-2n = ln 0.02
Divided by -2,
n = ln 0.02 / -2
= 1.955
Volume is 1.955 mm3.
(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
The probability of x ≥ 1has to be at least 0.98
P(x ≥ 1 )≥ 0.98
P(x = 0 ) = p(x < 1 ) = 1 – p(x≥1) = 1- 0.98
= 0.02
Poisson probability at k = 0
P(x = 0) = λ0 e-λ / 0! = e-λ
e-λ ≤ 0.02
taking ln on both sides:
ln e-λ ≤ ln 0.02
λ = ln 0.02 / -1
= 3.912
Emilio's Bakery is getting more and more orders for blackberry pies. The bakers made 16 blackberry pies in December, 48 blackberry pies in January, 144 blackberry pies in February, and 432 blackberry pies in March. What kind of sequence is this? arithmetic or geometric
Answer:
id say a geometric sequence
Step-by-step explanation:
you multiply 3 to get the next number of pies
What is the length of AB?
B
4x
2x + 6
50"
A
50°
C
O A. 9
O B. 3
O C. 12
O D. 6
Answer:
C. 12
Step-by-step explanation:
[tex]4x=2x+6[/tex]
[tex]4x-2x=6[/tex]
[tex]2x=6[/tex]
[tex]x=3[/tex]
~
[tex]AB=4x\\=4(3)\\=12[/tex]
~
Therefore, your answer is C) 12 !!!!!!
A movie features dangerous stunts including jumping from a helicopter, riding on the hood of a speeding car, and a number of other acrobatic stunts. The director has hired a stunt double to perform these stunts. In the filming of the helicopter scene, the stunt double is released from a height of 10,000m. Assume the only forces acting on the stunt double are gravity and air resistance. The force of air resistance is assumed to be proportional to the velocity with proportionality constant λ = 10. Assume the stunt double has a mass of 60kg and the force of gravity is −9.81m/s^2.
Required:
Construct a differential equation which models the velocity of the falling stunt double. Explain the reasoning behind how you constructed the model you chose to use. Discuss any potential shortcomings of your model. Describe any initial conditions associated with your model.
Answer:
Vt = 58.86 m/s
Step-by-step explanation:
Stunt height = 10000 m
Stunt mass = 60 kg
force of gravity = 9.81 m/s^2
proportionality constant λ = 10
Forces acting on the stunt double : Gravity and air resistance
attached below is the detailed solution
Vt = 58.86 m/s
HELP ASAP
graph and label the image after rotation of 90 degrees counterclockwise
Answer:
Just move the graph u
Step-by-step explanation:
Z (-3,0)
L(0,3)
J(-5,2)
BRAINLIEST?!
Can anyone help me with this... please I need it in like a hour...
Answer:
iii. [tex](2x-9)+5t[/tex]
iv. [tex](2x-9+5t)-\frac{2}{5}n^3[/tex]
v. [tex]\frac{(2x-9+5t)-\frac{2}{5}n^3}2[/tex]
Therefore the answer is U.
I really hope this helped you.
solve the equation 2(x+3)=X-4
Answer:
x = -10
Step-by-step explanation:
2(x + 3) = x - 4
2x + 6 = x - 4
x = -10
Plato please help me
If we plot it, we see that the two inequalities have no commonality in any range of numbers.
Thus I think it never alerts.(( I'm not sure about it ))
What is the equation of the line that passes through the point (-6,-5) and has a slope of 3/2?
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = the slopeb = the y-interceptTo find linear equations, we must solve for m and b and substitute them into slope-intercept form.
Solving the Question
We're given:
Passes through the point (-6,-5)m = [tex]\dfrac{3}{2}[/tex]Input the slope into slope-intercept form:
[tex]y=mx+b\\\\y=\dfrac{3}{2}x+b[/tex]
Solve for the y-intercept by inputting the given point (-6,-5):
[tex]-5=\dfrac{3}{2}(-6)+b\\\\-5=-9+b\\\\4=b[/tex]
Therefore, the y-intercept is 4. Plug this back into our original equation:
[tex]y=\dfrac{3}{2}x+4[/tex]
Answer[tex]y=\dfrac{3}{2}x+4[/tex]
find x when f(X) =2 find x when f(x)=0
Answer:
in both equatons, x=1
Step-by-step explanation:
there is no x on the right side of the equation, so x never changes. it is 1.
Answer:
-1
Step-by-step explanation:
- 12, -4,4, 12,
What is the tenth term?
How do you do this problem?
Answer:
55°
Step-by-step explanation:
In the triangle towards the bottom-left, we can see that it is an iscosceles triangle, which means that the two angles opposite of those two sides are also equal. Along with this, a triangle will also only have 180° for the sum of all of its angles.
When you put another x in the angle next to the 37°, you get an equation similar to:
[tex]x+x+37+33 = 180\\2x + 70 = 180\\2x = 110\\x = 55[/tex]
x in this case will then be 55 degrees.
please help me asap
Answer:
Step-by-step explanation: In a total eclipse of the moon, the inner part of Earth's shadow, called the umbra, falls on the moon's face. At mid-eclipse, the entire moon is in shadow, which may appear blood red. ... In a penumbral lunar eclipse, only the more diffuse outer shadow of Earth – the penumbra – falls on the moon's face.
what is the value of x
22x+-15=100
Answer:
X=115/22
Step-by-step explanation:
22x-15=100
22x=100+15
22x=115
X= 115/22
3/4(8x+12)+4/5(25x+20)
simplify quick please D:
Answer:
26x + 25
Step-by-step explanation:
3/4(8x + 12) + 4/5(25x + 20)
Distribute
3/4(8x) + 3/4(12) + 4/5(25x) + 4/5(20)
24/4x + 36/4 + 100/5x + 80/5
Reduce the fractions
6x + 9 + 20x + 16
Combine like terms
26x + 25
Select all of the situations below that can be modeled by the expression 4 + 3x.
Answer:
A,C,D
Step-by-step explanation:
Worked out 67.5÷16.875
Answer:
Step-by-step explanation:
your answer if 4
y = x^2 + 3
Find End Behavior
Tony had $z. He lost $3.
a) Write an algebraic expression for the amount he has left.
Answer: T = z - 3
Step-by-step explanation: "T" represents the total amount of money he has left, so T = z [Whatever amount he had to begin with] - 3 [The amount he lost]. Hope that this helps!
Another way to show this equation is with the slope-intercept for of y = x -3
How many minutes will she need to finish labeling all books if she takes no breaks and labels 15 books a minute? *
Answer:
15 i think but im sry if i get it wrong
step-by-step explanation:
Determine which of the lines, if any, are parallel or perpendicular. Explain.
Line a: 4y - 12x = 20
Line b: 3y= -x + 2
Line c: y= 3x - 1
Answer:
Line [tex]a[/tex] and line [tex]c[/tex] are parallel to each other.
Line [tex]b[/tex] is perpendicular to line [tex]a[/tex].
Line [tex]b[/tex] is perpendicular to line [tex]c[/tex].
Step-by-step explanation:
Rewrite the equation of each line in the slope-intercept form [tex]y = m\, x + b[/tex] to find the slope [tex]m[/tex] of that line.
In the slope-intercept form, [tex]y[/tex] need to be on the left-hand side of the equation while [tex]x[/tex] need to be on the right-hand side. The coefficient of [tex]y[/tex] must be [tex]1[/tex]. The slope of the line would then be equal to the coefficient of [tex]x[/tex].
For example, the equation of line [tex]a[/tex] could be rewritten in slope-intercept form as [tex]y = 3\, x + 5[/tex]. The coefficient of [tex]x[/tex] is [tex]3[/tex], so the slope of this line would be [tex]m_{a} = 3\![/tex].
Similarly, rewrite to obtain the the slope-intercept equation of line [tex]b[/tex]: [tex]y = (-1/3)\, x + (2/3)[/tex]. The slope of this line would be [tex]m_{b} = (-1/3)[/tex].
The equation of line [tex]c[/tex] is already in slope-intercept form. The slope of that line would be [tex]m_{c} = 3[/tex].
Let [tex]m_{1}[/tex] and [tex]m_{2}[/tex] denote the slopes of two lines in a Cartesian plane.
These two lines are parallel with if and only if their slopes are the same: [tex]m_{1} = m_{2}[/tex]. These two lines are perpendicular to each other if the product of their slope is [tex](-1)[/tex]: [tex]m_{1}\, m_{2} = (-1)[/tex].In this question, the slope of line [tex]a[/tex] and line [tex]c[/tex] are the same: [tex]m_{a} = m_{c}[/tex]. Thus, line [tex]a\![/tex] and line [tex]c\![/tex] would be parallel.
The product of the slopes of line [tex]a[/tex] and line [tex]b[/tex] is [tex]m_{a}\, m_{b} = 3 \times (-1/3) = (-1)[/tex]. Thus, line [tex]a\![/tex] and line [tex]b[/tex] are perpendicular to each other.
Similarly, line [tex]b[/tex] and line [tex]c[/tex] are perpendicular to each other because the product of their slopes is [tex](-1)[/tex].
Please help me with this
(Image)
10pts)
A grocery orders 4 large containers of milk for every 7 small containers of milk.Which ratio could present the number large containers of milk to small containers of milk in an order from the grocery store?
Answer:
4 : 7
Step-by-step explanation:
Random list of rational numbers
1/3, 2/4, 1/5, 9/3, etc....
A rock is 7 feet below the surface of a river.if it’s position can be recorded as -7 feet,what would the Position of zero represent
If 7 feet below the surface of a river is written as -7 then 0 would be the surface of the river.
Your revenue goal for January is $40,000, and you have booked $31,000 thru January 25. What average nightly revenue do you need for the remainder of January?
Answer:
$1500
Step-by-step explanation:
January has 31 days, so after day 25 there are 6 days left. You still need $9000. 9000/6=1500.
How to get 24 by integers
Answer:
There is no particular formula for integer as it is nothing but a set of numbers. But there are certain rules when we perform any mathematical operations like addition, subtraction, etc on integers: Adding two positive integers will always result in a positive integer.
Step-by-step explanation:
m = (1 +19)(2) How do i solve it?
Answer:
40
Step-by-step explanation:
Firstly, i solved for the first pair of parenthesis and got 20. If there is no sign in between a pair of brackets of parenthesis its multiplication
Put as brainliest if you wish
40 points!! look at attachment! help me understand and how to solve.
Answer:
we is right
Step-by-step explanation:
The Brown family has a 15 year old home loan. How many months is their home loan
Answer:
180 months
Step-by-step explanation:
15x12=180
Answer:
180 months
Step-by-step explanation:
15 (years)12 (months in a year)15x12=180 months totalHope I helped:)
-Adiel