Answer: Integer, rational number
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose α = 2.6 and β = 220. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to four decimal places.) at most 250 less than 250 more than 300 (b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.) (c) What value is such that exactly 50% of all specimens
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]
Pocndnsmwntjjwbsnsns. Dhaka be d
Answer: m = 4
Step-by-step explanation: 2x4+5=13, 2x4=8 and 8+5=13.
Need help asap
x=4 and y= -9
2xy+15x
Answer:
12
Step-by-step explanation:
2xy+15x
Let x=4 and y= -9
2(-4)(-9) + 15(-4)
Multiply
72 -60
Subtract
12
Answer:
-12
Step-by-step explanation:
2(4)(-9)+15(4) is what it should look like.
joe needs to transfer 28 quarts of oil into containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error
This question is incomplete
Complete Question
Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error
Joe's error:
28 quarts × 4 quarts/ 1 gallon
= 28 quarts/1 × 4 quarts/ 1 gallon
= (28 × 4)/ ( 1 × 1) = 112 gallons
Answer:
7 gallons is the correct answer
Joe needs to transfer 28 quarts of oil into 7 gallons
Step-by-step explanation:
Joe's error:
28 quarts × 4 quarts/ 1 gallon
= 28 quarts/1 × 4 quarts/ 1 gallon
= (28 × 4)/ ( 1 × 1) = 112 gallons
Correcting Joe's error, we have:
4 quarts = 1 gallon
28 quarts = x
Cross Multiply
4 quarts × x = 28 quarts × 1 gallon
x = 28 quarts × 1 gallon/ 4 quarts
x = 7 gallons
= 28 quarts/x gallons × 1 gallon/4 quarts
= (28 × x)/ ( 1 /4) = 7 gallons
Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons
Esmeralda and Genevieve are both planting square gardens. Esmeralda's garden is 25 square feet and
Genevieve's is 4 square yards. Convert their garden sizes to the same units (feet) to determine who's garden has a
larger area. (1 point)
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Genevieve's garden is 16 square feet and thus has a smaller area than Esmeralda's
O Genevieve's garden is 25 square feet, and thus has the exact same area as Esmeralda's
Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's
Answer:
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Step-by-step explanation:
Given:
Esmeralda's garden = 25 square feet
Genevieve's garden = 4 square yards
Convert Genevieve's units (yards) to feet
Yards to feet
1 yard = 3 feet
4 yards = 4 * 3 feet
4 yards = 12 feet
Genevieve's garden = 12 square feet
Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's
Answer:
The answer is: Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's
Step-by-step explanation:
1. You pay $25.00 to fill up the 13-gallon gas tank of your internal combustion engine car.
How much are you paying for one gallon of gas?
Answer:
$1.92 a gallon!!
Step-by-step explanation:
Answer:
You will pay $1.92 per gallon.
Step-by-step explanation:
Divide 25.00 by 13 to by how much money per gallon:
[tex]25.00/13=1.923[/tex]
You cannot round up.
You will pay $1.92 per gallon.
-Hope this helps! :)
Lionel Messi, who is running 20 feet per second is 15 feet behind Cristiano Ronaldo who is running at 17 feet per second. How long will it take Messi to catch up with Ronaldo?
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet
Step-by-step explanation:
At the gym, Garson always completes 3 pull-ups for every 8 sit-ups he does. Last night, Garson completed 24 sit-ups. Which ratio represents the relationship between the number of pull-ups and the number of sit-ups Garson completed last night?
Answer:
9:24 simplifies to 3:8
Step-by-step explanation:
3:8
24/8=3
3*3=9
last night he did 9 pull ups and 24 situps
-2(39% + **)+(855 + 2K)
Answer:
42711 /50
Step-by-step explanation:
7. During the Middle Ages, people often used grains, scruples, and drahms to measure the weights of different medicines. If 120 grains are equivalent to 6 scruples and 6 scruples are equivalent to 2 drahms,
how many drahms are equivalent to 300 grains? Explain your reasoning. If you get stuck, try creating a table.
Answer:
5 drahms.
Step-by-step explanation:
From the question given above, the following data were obtained:
120 grains = 6 scruples
6 scruples = 2 drahms
300 grains (in drahms) =..?
From the above data,
120 grains = 6 scruples
6 scruples = 2 drahms
Therefore,
120 grains = 2 drahms
Thus, we can obtain 300 grains in drahms as follow:
120 grains = 2 drahms
Therefore,
300 grains = 300 grains × 2 drahms /120 grains
300 grains = (300 × 2)/120 drahms
300 grains = 5 drahms
Therefore, 300 grains is equivalent to 5 drahms.
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet away from the player. The height $y$ (in feet) of a second hockey puck is modeled by $y=x\left(0.15-0.001x\right)$ , where $x$ is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.
Answer:
Second puck travels farther
Step-by-step explanation:
Maximum height of first puck = 3 feet
The height of a second hockey puck is modeled by:
[tex]y=x\left(0.15-0.001x\right)[/tex]
[tex]y=0.15x-0.001x^2[/tex]
To find maximum height of second puck
[tex]y'=0.15-0.002x[/tex]
Equate the derivative equals to 0
0.15-0.002x=0
[tex]\frac{0.15}{0.002}=x[/tex]
75 = x
At x = 75
[tex]y=0.15(75)-0.001(75)^2=5.625[/tex]
So, The maximum height of second puck is greater than first puck
So, Second puck travels farther
PLEASE HELP AND SHOW WORK PLS
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) Slope = 6, y-intercept = 5
2) Slope = -1/3, y-intercept = 1
Answer:
1.) y= 6x+5
2.) y= -1/3x+1
Step-by-step explanation:
Slope Intercept Form is y=mx+b,
where slope is m
the y-intercept is b
So I just plugged in the slope and y-int to get the equation
Please help fast
If you drew lines to model the verbal statement, the equation, and the table that you created in the three parts of question 1, would you get the
same line for all three? Explain
Answer:
The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.
Answer:
The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.
Step-by-step explanation:
Find the GCF of the terms of the polynomial.
35Z^4 - 70z3 + 14z2
Answer:
7z^2
Step-by-step explanation:
simplify the variable expression by evaluating it’s a numerical part, and enter your answer below. (13-6)•w
Answer:
(13-6)* w =7w
Step-by-step explanation:
Answer:
7*w ...........................
Function or not a function?
Answer:
fuction
Step-by-step explanation:
WILL GIVE BRAINLIEST
Which descriptions can describe more than one triangle? Select two option:
side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 350, 350, and 110°
angle measurements of 30°, 409, and 50°
angle measurements of 40°, 60°, and 80°
side lengths of 4 cm, 6 cm, and 9 cm
Answer:
angle measurements of 40°, 60°, and 80°
side lengths of 4 cm, 6 cm, and 9 cm
Step-by-step explanation:
∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′. The coordinates of vertex A′ of ∆A′B′C′ are . The coordinates of vertex B′ of ∆A′B′C′ are . The coordinates of vertex C′ of ∆A′B′C′ are .
Answer:
A'(-2, 1), B'(1, 0), C'(-1, 0)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).
If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)
From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)
If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)
If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)
Answer:
The coordinates of vertex A′ of ∆A′B′C′ are (-2, 1) .
The coordinates of vertex B′ of ∆A′B′C′ are (1, 0) .
The coordinates of vertex C′ of ∆A′B′C′ are (-1, 0) .
Step-by-step explanation:
What is the equation of the line that passes through the point (5, 1) and has a slope
of 1?
Answer:
y=1x-4
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=1(x-5)+1
1x-5+1
y=1x-4 (y=mx+b)
What is the displacement of the red ball between 0 s and 24 s
Answer:
12s
Step-by-step explanation:
Because 24 divided by 2 is 12
Answer:
Step-by-step explanation:
is 42% bigger than 0.44
Answer: No
0.44 is equal to 44%.
42% is equal to 0.42.
0.44 is greater than 0.44.
44% is greater than 42%.
Answer = no
Solve for AB. Round your answer to the nearest tenth if necessary.
Answer:
See Below
Step-by-step explanation:
You want to find AB.
They give the equation for AB, BC, and AC
AC - BC = AB
substitute the equations
(30) - (8x + 3) = 6x + 8
30 - 8x - 3 = 6x + 8
27 - 8x = 6x + 8
+8x +8x
27 = 14x + 8
-8 -8
19 = 14x
19/14 = 14x/14
1.3571428 = x
0.1 = tenth
1.4 = x
Substitute x into the equation for AB
6(1.4) + 8
16.4
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~First~you~need~to~make~an~equation:[/tex]
[tex]\bold{30-8x+3=6x+8}[/tex][tex]\bold{You~do~this~by~using~all~the~information~available~and~set~it~up~to~solve~for~AB.}[/tex][tex]2.)~Add~30~and~3~to~get~33:[/tex]
[tex]\bold{33-8x=6x+8}[/tex][tex]3.)~Subtract~6x~from~both~sides:[/tex]
[tex]\bold{33x-8x-6x=8}[/tex][tex]\bold{Causes~signs~to~change~and~the~equation~gets~rearranged.}[/tex][tex]4.)~Combine -8x~and~-6x:[/tex]
[tex]\bold{-8x-(-6x)=-14x}[/tex][tex]\bold{33-14x=8}[/tex][tex]5.)~Subtract~33~from~both~sides:[/tex]
[tex]\bold{33-33=Cancels~out}[/tex][tex]\bold{8-33=-25}[/tex][tex]5.)~Divide~both~sides~by~-14:[/tex]
[tex]\bold{-14x}[/tex] ÷ [tex]\bold{-14=x}[/tex][tex]\bold{-25}[/tex] ÷ [tex]\bold{-14=-1.78571429}[/tex][tex]6.)~Simplify:[/tex]
[tex]\bold{1.78571429}~(Take~Away~the~Negative!)[/tex][tex]\bold{1.8}~(Round~to~the~Nearest~Tenth!)[/tex][tex](To~Round~look~at~that~number~in~the~tenth~place:~7,\\~now~look~to~the~number~to~the~right:~8.~\\\\So~if~that~number~is~greater~than~or~equal~to~5,~then~you~round~up.\\If~that~number~is~less~than~or~equal~to~5,~then~you~round~down.)[/tex]
______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{AB=1.8}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
Enter the value of the underlined digit.
6.53
The value of the underlined digit is
Cual es el dígito del 3
Answer:
hundredths
Step-by-step explanation:
1-(2x+4)=4x+5 solution
Someone give me a helping hand
Answer:
a) vertical angles
b) same side interior angles
c)alternate interior angles
Step-by-step explanation:
vertical angles are angles that are across from each other and they are congruent
interior angles are angles that are in between the parallel lines and when they are on the same side it means that they are on the same side of the transversal
interior angles are angles that are in between the parallel lines and when they are on different sides it means that they are on opposite sides of a transversal, this is called alternate interior angles
find the DIFFERENCE between 901.28 and 375.54
Answer:
Pretty sure its 525.74
Which is an irrational number?
Answer:
[tex]\sqrt{\frac{5}{3} }[/tex]
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. [tex]\sqrt{\frac{5}{3} }[/tex] is irrational.
Hope this helps! o(〃＾▽＾〃)o
PLEASE HELP!!! How many solutions does each polynomial have?
Answer:
answer in picture
Step-by-step explanation:
You deposited a check for $1,200 into your checking account that had a balance of $625 and it "bounced". You had written checks for $450, $225, $215, and $187. Your bank will pay the largest check that you wrote first. Your account is overdrawn, and the remaining checks written to pay monthly bills did not clear. Your bank charged you a $35 overdraft fee and each of the remaining creditors receiving bounced checks charged you a $25 late payment fee. What did the $1,200 check that "bounced" on you cost you?
Answer:
total cost = $110
Step-by-step explanation:
Your bank will charge you $35 as overdraft fee.
The bank will only pay one check for $450, so that means that 3 more checks will remained unpaid. Since your creditors charge you $25 per bounced check, then they will charge you 3 x $25 = $75.
Total costs = $35 + $75 = $110