Answer:
a
P(X \le 250 ) = 0.7564 [/tex] , [tex]P(X < 250 ) = 0.7564 [/tex] ,
[tex]P(X < 300 ) = 0.09922 [/tex]
b
[tex]P(100 < X < 250 ) =0.644 [/tex]
c
[tex] x = 192.1 [/tex]
Step-by-step explanation:
From the question we are told that
The value for [tex]\alpha = 2.6[/tex]
The value for [tex]\beta = 220[/tex]
Generally the Weibull distribution function is mathematically represented as
[tex]F( x , \alpha , \beta ) = \left \{ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x < 0} \atop { 1- e^{-(\frac{x}{\beta } )^{\alpha } }}\ \ \ \ \ \ x \ge 0} \right[/tex]
Generally the probability that a specimen's lifetime is at most 250 is mathematically represented as
[tex]P(X \le 250 ) = F(250, 2.7 , 220 )[/tex]
[tex]P(X \le 250 )=1 - e^{- (\frac{250}{220} )^{2.7}}[/tex]
[tex]P(X \le 250 ) = 1 - 0.2436[/tex]
[tex]P(X \le 250 ) = 0.7564 [/tex]
Generally the probability that a specimen's lifetime is less than 250
[tex]P(X < 250 ) = F(250, 2.7 , 220 )[/tex]
[texP(X < 250 ) =1 - e^{- (\frac{250}{220} )^{2.7}}[/tex]
[tex]P(X < 250 ) = 1 - 0.2436[/tex]
[tex]P(X < 250 ) = 0.7564 [/tex]
Generally the probability that a specimen's lifetime is more than 300
[tex]P(X > 300 ) = 1- p(X \le 300 )[/tex]
[tex]P(X > 300 ) = 1- F(300, 2.7 , 220 )[/tex]
[texP(X < 300) =1- [1 - e^{- (\frac{300}{220} )^{2.7}}][/tex]
[tex]P(X < 300 ) = 0.09922 [/tex]
Generally the probability that a specimen's lifetime is between 100 and 250 is
[tex]P(100 < X < 250 ) = P(X < 250) - P(X < 100)[/tex]
=> [tex]P(100 < X < 250 ) =F(250 , 2.7 , 220 ) - F(100 , 2.7 , 220 ) [/tex]
=> [tex]P(100 < X < 250 ) =(1 - e^{-(\frac{250}{220})^{2.7}}) - (1 - e^{-(\frac{100}{220})^{2.7}}) [/tex]
=> [tex]P(100 < X < 250 ) = (1 - 0.244 ) - (1- 0.888)[/tex]
=> [tex]P(100 < X < 250 ) =0.644 [/tex]
Generally the value such that exactly 50% of all specimens
[tex]P(X > x) = 1-P(X < x) = 0.50[/tex]
=> [tex]P(X > x) = 1- (1 - e^{- (\frac{x}{220}) ^{2.7}}) = 0.50[/tex]
=> [tex] P(X> x ) = e^(- \frac{x}{20})^{2.7} = 0.50 [/tex]
=> [tex] P(X> x ) = (- \frac{x}{20})^{2.7} = ln0.50 [/tex]
=> [tex] P(X> x ) = \frac{x}{20} =[ -ln0.50 ] ^{frac{1}{2.7}}[/tex]
=> [tex] x = 220[ -ln0.50 ] ^{frac{1}{2.7}}[/tex]
=> [tex] x = 192.1 [/tex]
help!!!!!!!!!!!!!!!!!!!
Answer:
154/350 = n/100
n = 0.51333 or 51.333% (I don't know what decimal your class rounds to but it is 3 repeating)
Jay won 51.333% of the solitaire games he played. Hope this helps!!
Step-by-step explanation:
$23.96 for 4 pounds of salamI, round to the nearest tenth. What is the answer?
Answer:
20
Step-by-step explanation:
if you are given 25 that rtn 10 would be 30 but you have given me a number lover than that so that would be 20
You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?
Answer:
=36
Step-by-step explanation:
Step-by-step explanation:
for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....
so we have to multiply 3×3×4
=36
so if we divide 36 by 3 ,4 OR 9
we will not find any remainder
90, 30, 10, 3.33,
90 is the 1st term.
a) What is the pattern?
Answer:
÷3
Step-by-step explanation:
90÷3 = 30
30 ÷ 3 = 10
10 ÷ 3 = 3.33
HELP ASAP marking brainliest if you can also explain
⚠️⚠️^^^⚠️⚠️
Question is in the image
Finding slope:
Take two pairs of cordinate points from the table and use the formula y2-y1 divided by x2-x1
I choose (4,3) and (2,2)
2-3 divided by 2-4
= -1/2
Then to get the y intercept you use the formula: y=mx+b
For the x and y pick a cordinate to plug in. For m plug in your slope.
I pick (6,4)
4=-1/2×6+b
Multiply -1/2 and 6 to get -3 and plug that in
4=-3+b
Now add 3 to the -3 canceling that out to 0 and add three to the 4 making that 7
7=b
Y-intercept =7
Now plug in the slope and y-intercept into the slope intercept format and get:
Y=-1/2x+7
A field goal kicker lines up to kick a 44 yard (40m) field goal. He kicks it with an initial velocity of 22m/s at an angle of 55∘. The field goal posts are 3 meters high.Does he make the field goal?What is the ball's velocity and direction of motion just as it reaches the field goal post
Answer:
The ball makes the field goal.
The magnitude of the velocity of the ball is approximately 18.166 meters per second.
The direction of motion is -45.999º or 314.001º.
Step-by-step explanation:
According to the statement of the problem, we notice that ball experiments a parabolic motion, which is a combination of horizontal motion at constant velocity and vertical uniform accelerated motion, whose equations of motion are described below:
[tex]x = x_{o}+v_{o}\cdot t\cdot \cos \theta[/tex] (Eq. 1)
[tex]y = y_{o} + v_{o}\cdot t \cdot \sin \theta +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (Eq. 2)
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Coordinates of the initial position of the ball, measured in meters.
[tex]x[/tex], [tex]y[/tex] - Coordinates of the final position of the ball, measured in meters.
[tex]\theta[/tex] - Angle of elevation, measured in sexagesimal degrees.
[tex]v_{o}[/tex] - Initial speed of the ball, measured in meters per square second.
[tex]t[/tex] - Time, measured in seconds.
If we know that [tex]x_{o} = 0\,m[/tex], [tex]y_{o} = 0\,m[/tex], [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]x = 40\,m[/tex], the following system of equations is constructed:
[tex]40 = 12.618\cdot t[/tex] (Eq. 1b)
[tex]y = 18.021\cdot t -4.904\cdot t^{2}[/tex] (Eq. 2b)
From (Eq. 1b):
[tex]t = 3.170\,s[/tex]
And from (Eq. 2b):
[tex]y = 7.847\,m[/tex]
Therefore, the ball makes the field goal.
In addition, we can calculate the components of the velocity of the ball when it reaches the field goal post by means of these kinematic equations:
[tex]v_{x} = v_{o}\cdot \cos \theta[/tex] (Eq. 3)
[tex]v_{y} = v_{o}\cdot \cos \theta + g\cdot t[/tex] (Eq. 4)
Where:
[tex]v_{x}[/tex] - Final horizontal velocity, measured in meters per second.
[tex]v_{y}[/tex] - Final vertical velocity, measured in meters per second.
If we know that [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]t = 3.170\,s[/tex], then the values of the velocity components are:
[tex]v_{x} = \left(22\,\frac{m}{s} \right)\cdot \cos 55^{\circ}[/tex]
[tex]v_{x} = 12.619\,\frac{m}{s}[/tex]
[tex]v_{y} = \left(22\,\frac{m}{s} \right)\cdot \sin 55^{\circ} +\left(-9.807\,\frac{m}{s^{2}} \right)\cdot (3.170\,s)[/tex]
[tex]v_{y} = -13.067\,\frac{m}{s}[/tex]
The magnitude of the final velocity of the ball is determined by Pythagorean Theorem:
[tex]v =\sqrt{v_{x}^{2}+v_{y}^{2}}[/tex] (Eq. 5)
Where [tex]v[/tex] is the magnitude of the final velocity of the ball.
If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], then:
[tex]v = \sqrt{\left(12.619\,\frac{m}{s} \right)^{2}+\left(-13.067\,\frac{m}{s}\right)^{2} }[/tex]
[tex]v \approx 18.166\,\frac{m}{s}[/tex]
The magnitude of the velocity of the ball is approximately 18.166 meters per second.
The direction of the final velocity is given by this trigonometrical relation:
[tex]\theta = \tan^{-1}\left(\frac{v_{y}}{v_{x}} \right)[/tex] (Eq. 6)
Where [tex]\theta[/tex] is the angle of the final velocity, measured in sexagesimal degrees.
If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], the direction of the ball is:
[tex]\theta = \tan^{-1}\left(\frac{-13.067\,\frac{m}{s} }{12.619\,\frac{m}{s} } \right)[/tex]
[tex]\theta = -45.999^{\circ} = 314.001^{\circ}[/tex]
The direction of motion is -45.999º or 314.001º.
Michael earns $8 an hour to baby sit the Jackson family. How many hours does he have to 1 point
baby sit to earn $56?
Answer:
7 hours
Step-by-step explanation:
56/8=7
What is the measure of angle q°?
70°
110°
90°
180°
Answer:
sorry but where are the angles
The value of q in the quadrilateral 70°
Given that a quadrilateral we need to find the value of q,
Since we can see that the opposite angles are equal so the quadrilateral can be a parallelogram,
Therefore, we get, q and 110° is consecutive angles and the consecutive angles in a parallelogram are supplementary angles,
So,
110° + q° = 180°
Solve for q,
q° = 180° - 110°
Simplification
q° = 70°
Hence the value of q is 70.
Learn more about quadrilateral click;
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The United States Capitol is
located at (2, 4) on a coordinate grid. The White
House is located at (-10, 16) on the same coordinate
grid. Find two different points on a segment joining
the United States Capital and the White House such
that the ratio of the two shorter segments created by
each point is 1:3.
Answer:
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Step-by-step explanation:
At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:
[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)
Where:
[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.
[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.
If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:
[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]
[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]
[tex]\overrightarrow{AB} = (-12,12)[/tex]
Besides, we can find the location of any point inside the line segment by using the following vectorial equation:
[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)
Where:
[tex]r[/tex] - Segment factor, dimensionless.
[tex]\vec C[/tex] - Location of resulting point, dimensionless.
There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:
[tex]r_{1} = \frac{1}{4}[/tex]
[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]
[tex]\vec C_{1} =(-1,7)[/tex]
[tex]r_{2} = \frac{3}{4}[/tex]
[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]
[tex]\vec C_{2} = (-7,13)[/tex]
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Find the surface area of the cone in items of 17 and 3
Answer:
Area = 1829.87
Step-by-step explanation:
What was the purpose for the creation of the Pythagorean theorem?
Answer:
Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.
Step-by-step explanation:
The product of b and 3 is greater than or equal to -30.
Answer:
greater than
Step-by-step explanation:
positive is higher than negative
The wavelength of violet light is 4.0 x 10^−7 m. The wavelength of red light is 6.5 x 10^−7 m. How much longer is the wavelength of red than violet?
A 2.5 × 10^–7 m
B 1.05 × 10^–7 m
C 2.5 × 10^–6 m
D 1.05 × 10^–6 m
Answer:
A 2.5 × 10^–7 m
Step-by-step explanation:
Given
wavelength of violet light = 4.0 x 10^−7 m.
The wavelength of red light = 6.5 x 10^−7 m
To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light
Difference in wavelength of red light and violet light =
wavelength of red light -wavelength of violet light
= 6.5 x 10^−7 m - 4.0 x 10^−7 m
Difference in wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m
Difference in wavelength of red light and violet light =2.5 x 10^−7 m
Thus,
wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light
option A
Can someone help me with the equation below??
Answer:
The answer is number two o x< -2 or x > 5
Answer:
x<-2 or x>5 (the second choice)
Step-by-step explanation:
This is an "or" inequality. Both of the circles on the number line are open, so the signs we will use are going to be either < or >.
The shaded line on the left means x is less than -2 (x<-2). The shaded line on the right means x is greater than 5 (x>5).
If we write this as an "or" inequality, it will be...
x<-2 or x>5
In case you didn't know, if this was an "and" inequality, the shaded lines would intercept. But in this case, the shaded parts went opposite ways, so this is most likely an "or" inequality.
Hope this helped you out!! Have an amazing day c:
Order the fractions 1 / 6, 2 / 5, 3 / 5, 3 / 7 from least to greatest,
Answer:
1/6, 2/5, 3/7, 3/5
What is the percent of the discount for a $60 item that sells for $45?
Answer:
75%
Step-by-step explanation:
45/60 x X/100
45x100
4500/60
75%
A world-class marathon number can finish 26.2 miles in 2 hours. What is the rate of speed for the runner?
5 points
Im building my first gaming pc, and part suggestions/tips?
Answer:
-Do not touch the contacts or interconnects or pads on ( RAM/DIMM's, GPU / Graphic's Card's, CPU / Processor )
-Not being concerned or cautious about ESD
-Do not over torque / over tighten screws.
-Not giving yourself enough room to build
-Not using a magnetic tray when building
Answer:
Parts
GEFORCE RTX 2060 SUPER this is a good graphics card for 399
intel core i5 is a pretty good budget processer
I recomend a nzxt case they are pretty good
these are only some parts but these are pretty good budget
Hector and his brother, Lee, collect toy cars. Hector has c cars, where c > 10. Lee has 35% more cars than Hector, but he donates 10 of them to charity. Which expression below does NOT represent how many toy cars Lee has after his donation?
a) 1.35c − 10
b) c + 0.35c − 10
c) −10 + 1.35c
d) 1.25c
Answer:
b) c + 0.35c − 10
Step-by-step explanation:
You buy 4.5 pounds of bananas at $0.49 a pound. You hand the cashier a $20 bill. How much change will you get back
Answer:
You get 17.80 cents back
Step-by-step explanation:
4.5 times 0.49 is 2.20 cents
20 minus 2.20 is 17.80 dollars
evaluate each expression 5(10-1)
Answer:
the answer is 45 if its is what you need
Step-by-step explanation:
i got 100 on test and had that question
A ride owner in a fair, charges $21 for entry of 4 people. What is the rate of earnings in dollars per person?
Answer:
$7 per person.
Step-by-step explanation:
21/4 $5.25
Answer:
$5.25
Step-by-step explanation:
4 people = $21
1 person = $21/4 = $5.25
PLease help with this question? I also need an explanation on how you got the answer
Answer:
25%
Step-by-step explanation:
1. there are 8 triangles
2. 2 twos
3. 2/8
4. 2/8=25%
urgent! please help!
Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Which of the following functions model the data given in the table below?
х
2
3
4
5
6 y
-5
-7
-9
-11
-13
Answer:
I thinkkk its Option 2
Step-by-step explanation:
Answer:
Option 2
Step-by-step explanation:
The line is linear and the y-intercept hits at -1 so option 2 is correct.
2/3y + x =4 Solve for y
Answer:
y = -3x + 12/2
Step-by-step explanation:
Step 1: Add -x to both sides
x + 2/3 + -x = 4 + -x
2/3y = -x + 4
Step 2: Divide both sides by 2/3
2/3y ÷ 2/3 = -x + 4 ÷ 2/3
y = -3x + 12/2
Find the area of the shaded region
Answer:
35
Step-by-step explanation:
Here, the shaded region is equal to the non-shaded triangle. To know why this is, look at the formula for a triangle: A = b*h/2. But if we look further, we also know that the area of a rectangle is A = b*h. So the area of a rectangle is twice that of a triangle. And this is always true as long as the dimensions are the same. So here, the shaded region is just (14*5)/2 which is 35. We can also find this out by calculated the area of a rectangle and minus the area of the rectangle.
marton charges $15 for every five bags of leaves he rakes last weekend he raked raked 20 bags of leaves how much money did he earn
Answer:
20*15=300
He earned $300
Determine whether each linear expression is a factor of the polynomial.
X^4+x^3-17x^2+15x
A. X+3
B. X+5
C. X-1
Ethan makes $72,000 per year as a fashion designer. If he gets paid monthly, how much does he make per paycheck?
Answer:
6000 a month
Step-by-step explanation:
