Answer:
The value is
[tex]P(X < 36) = 0.066807[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 37.5 \ ksi[/tex]
The standard deviation is [tex]\sigma = 1 \ ksi[/tex]
Generally the probability that a random piece of the cable has a strength x lower than 36.0 ksi is mathematically represented as
[tex]P(X < 36) = P(\frac{X - \mu}{ \sigma } < \frac{ 36 - 37.5}{1} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 36) = P(Z < -1.5 )[/tex]
From the z table the probability of [tex](Z < -1.5)[/tex] is
[tex]P(Z < -1.5) = 0.066807[/tex]
So
[tex]P(X < 36) = 0.066807[/tex]
andom variable X has CDF given as follows. Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.
Complete Question
Random variable X has CDF given as follows
[tex]F(x)_x = \left \{ {{{{{{{ 0 \ \ \ \ \ \ \ \ \ \ x < 0} \atop {\frac{8}{33}} \ \ \ \ \ \ 0 \le x \le 1} \atop{ \frac{5}{11} }\ \ \ \ \ 1 \le x \le 2 } \atop {\frac{7}{11} } \ \ \ \ \ \ 2 \le x \le 3} \atop{ \frac{26}{33} }\ \ \ \ \ 3 \le x \le 4 }\atop {\frac{10}{11} } \ \ \ \ \ \ 4 \le x \le 5} \atop{ 1}\ \ \ \ \ \ \ \ 5 \le x } \right.[/tex]
Find the PMF of X.Find the PMF of X, and confirm that it is a valid PMF.
Answer:
Generally the PMF is
X 0 1 2 3 4 5
P(X = x) [tex]\frac{8}{33}[/tex] [tex]\frac{7}{33}[/tex] [tex]\frac{2}{11}[/tex] [tex]\frac{5}{33}[/tex] [tex]\frac{4}{33}[/tex] [tex]\frac{1}{11}[/tex]
Generally to prove the validity of the PMF we add the probabilities , if it is equal to 1 then the PMF is valid otherwise , the PMF is not valid
So
[tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]
[tex]\sum P(X = x) =1[/tex]
Hence the PMF is valid
Step-by-step explanation:
Generally the probability of X = 0 is evaluated as
[tex]P(0) = F(0) \ \ (for \ x \le 0) - F(0) \ ( for \ x < 0)[/tex]
=> [tex]P(0) = \frac{8}{33} - 0[/tex]
=> [tex]P(0) = \frac{8}{33}[/tex]
Generally the probability of X = 1 is evaluated as
[tex]P(1) = F(1) \ \ (for \ 1 \le 0) - F(1) \ ( for \ x < 1)[/tex]
=> [tex]P(1) = \frac{5}{11} - \frac{8}{33}[/tex]
=> [tex]P(1) = \frac{7}{33}[/tex]
Generally the probability of X = 2 is evaluated as
[tex]P(2) = F(2) \ \ (for \ 2 \le x ) - F(2) \ ( for \ x < 2)[/tex]
=> [tex]P(2) = \frac{7}{11} - \frac{5}{11}[/tex]
=> [tex]P(2) = \frac{2}{11}[/tex]
Generally the probability of X = 3 is evaluated as
[tex]P(3) = F(3) \ \ (for \ 3 \le x ) - F(3) \ ( for \ x < 3)[/tex]
=> [tex]P(3) = \frac{26}{33} - \frac{7}{11}[/tex]
=> [tex]P(3) = \frac{5}{33}[/tex]
Generally the probability of X = 4 is evaluated as
[tex]P(4) = F(4) \ \ (for \ 4 \le x ) - F(4) \ ( for \ x < 4)[/tex]
=> [tex]P(4) = \frac{10}{11} - \frac{26}{33}[/tex]
=> [tex]P(4) = \frac{4}{33}[/tex]
Generally the probability of X = 5 is evaluated as
[tex]P(5) = F(5) \ \ (for \ 5 \le x ) - F(5) \ ( for \ x < 5)[/tex]
=> [tex]P(5) = 1- \frac{10}{11}[/tex]
=> [tex]P(5) = \frac{1}{11}[/tex]
Generally the PMF is
X 0 1 2 3 4 5
P(X = x) [tex]\frac{8}{33}[/tex] [tex]\frac{7}{33}[/tex] [tex]\frac{2}{11}[/tex] [tex]\frac{5}{33}[/tex] [tex]\frac{4}{33}[/tex] [tex]\frac{1}{11}[/tex]
Generally to prove the validity of the PMF we add the probabilities , if it is equal to 1 then the PMF is valid otherwise , the PMF is not valid
So
[tex]\sum P(X = x) = \frac{8}{33} + \frac{7}{33} + \frac{2}{11} + \frac{5}{33} + \frac{4}{33}+ \frac{1}{11}[/tex]
[tex]\sum P(X = x) =1[/tex]
Hence the PMF is valid
what is the perimeter of the rectangle
Answer:
28 because 8 plus 8 plus 6 plus 6 sooooo 28:) brainly?
Step-by-step explanation:
Suppose you purchase a car using an installment loan for $26,000 for 48 months at 5% annual rate. Your payment is $598.76. Which is nearest to the total finance charge?
Answer:
7
Step-by-step explanation:
A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)
Answer:
350.62 feet
Step-by-step explanation:
Imagine an element that has 15 protons, 16 neutrons, and 18 electrons. Which of the following would NOT be considered an isotope of this element? *
15 protons, 16 neutrons, and 15 electrons
15 protons, 17 neutrons, and 15 electrons
15 protons, 15 neutrons, and 18 electrons
Answer:
15 protons, 15 neutrons and 18 electrons (3rd one) is the answer
Step-by-step explanation:
Solve this please to get brainliest
I can be late, I can be early, I can be astronomical or atomic and my insides are incredibly complex. What am I?
Answer:
Clock
Step-by-step explanation:
The answer is Clock because the time changes from AM to PM and there are many things inside that cause it to work.
please answer this!
giving brainliest
Answer:
5. 65
6. 80
7. m<7 and m<2
Sue sees 30 adult elephants and 18 baby elephants at the zoo. What is the ratio of adult elephants to baby elephants
Answer: 30:18 or 30 to 18
Step-by-step explanation:
solve for x explain pls
6+2x+31=x+26
2x-1/15=7.2/3 Find x
Answer:
x = 18.5
Step-by-step explanation:
If you do the butterfly method, you should get 2x-1 = 36
2x = 37
x = 18.5
PLEASE HELP ILL GIVE U BRAINLIEST AND UP THE POINTS!
Answer:
I think you have chosen the right answer.
Answer: your answer is right
Step-by-step explanation:
What is the answer to
1 + 3(8.63) =
Answer:
26.89
Step-by-step explanation:
Si se traslada con figura con lados paralelos,¿se mantienen así en la figura trasladada? Y si son perpendiculares
Answer:
sí, permanece así, todo lo que hace es mover las formas, no cambia la distancia entre sí ni la forma o tamaño de las mismas
Step-by-step explanation:
Espero que esto ayude :)
3x^0 for x=2.6
3x to the power of 0. for x is 26
uurgent HELPP
Answer:
3
Step-by-step explanation:
Any definite number (except zero) to the power one is one
So
3x^0
3 • 1
3
kx =v+w, for x
answer fast!
Answer:
x=v+w/k
Step-by-step explanation:
Answer:
x = [tex]\frac{v+w}{k}[/tex]
Step-by-step explanation:
SHOW WORK: h(x)= -4x+4, what is x when h(x)=-20 ? *
Answer:
x=6
Step-by-step explanation:
h(x)=-20 is the same as saying y=-20, so you would substitute h(x) with -20 and solve the equation from there.
[tex]-20=-4x+4[/tex]
[tex]-4[/tex] [tex]-4[/tex]
---------------------
[tex]\frac{-24}{-4} =\frac{-4x}{-4}[/tex]
[tex]6=x[/tex]
rounding to the nearest tenth, which of the following give an overestimate?
45.07 × 3.45
19.74 × 5.53
8.16 × 60.29
2.92 × 77.81
32.86 × 10.4
1. 157.5108.35
2. 108.35
3. 494.46
4. 233.7
5. 342.16
Step-by-step explanation:
Find the value of the missing number.
Answer:
y= 9
x= 10
Explanation:
I don't really know if this is correct-
[tex] \frac{3}{8} + \frac{1}{7} [/tex]
cual es el resultado?
Answer:
El resultado es:
[tex]\displaystyle \frac{29}{56}[/tex]
Step-by-step explanation:
Suma de fracciones
Vamos a sumar:
[tex]\displaystyle \frac{3}{8}+\frac{1}{7}[/tex]
Debemos encontrar el mínimo común múltiplo (MCM) entre los denominadores, en este caso, 7 y 8.
Descomponemos en factores primos:
7=7
8=2*2*2
Se toman los comunes y no comunes con máximo exponente, así que el MCM es 7*8=56.
Se procede a dividir el MCM entre cada denominador y al multiplicarlo por su numerador correspondiente:
[tex]\displaystyle \frac{3}{8}+\frac{1}{7}=\frac{3*7+1*8}{56}=\frac{29}{56}[/tex]
El resultado es:
[tex]\displaystyle \frac{29}{56}[/tex]
In Algebra, we learn about functions of various types. These functions are often seen in a progression from least complicated (linear) to most complicated (piecewise with nonlinear parts). And then there are other types of functions in-between: exponential, quadratic, polynomial, radical, and logarithmic. But with all their differences and unique properties, these share a common trait of being functions that we can graph in a coordinate plane.
What are some other things you can observe to have that same quality of functions: unique, but sharing a common trait or purpose?
Somethings I can observe that have the same quality is that all functions only have one outcome for a given input. A vertical line will never meet the graph more than once. No X values are used more than once. A function will have either no horizontal asymptote or just one asymptote. These are some common traits that all functions have.
We can see that all functions have the one outcome for one value of x if we can see all the functions carefully.
What is a function?
A function is a relation in which each value of x corresponds to some value of y.
How to determine the features of a function?
When we see some functions, they have the same quality of giving one result for one input. The quality of the graph of all functions is that the vertical line cannot meet the axis twice.
Learn more about functions at https://brainly.com/question/10439235
#SPJ2
Which number equals 9x100+9x10+0x1+0x1/10+3x1/100+7x1/1000
Answer:
bro u just made my brain explode lollllllllllllllllllllllllllllll
Answer: The answer should be or somewhere around 991.13700
Is √49 rational numher
Answer:
Yes
Step-by-step explanation:
Because 7x 7=49
Or 49 divided by 7 is 7
Answer:
yes
Step-by-step explanation:
b/c the sq root of 49 is 7
The contractor in charge of organizing your pool complex project has informed you that he has found two landscape companies willing to do the work. The 1st company says they can get the entire job done in 72 hours. The 2nd company says they can get the job done in 24 hours. You've decided that it would be best if both companies worked together to get the job done quicker! How many hours would it take to complete the landscaping job if the two companies worked together?
Answer:
18 hours
Step-by-step explanation:
Time taken to complete the job by 1st company = [tex]72\ \text{hours}[/tex]
Time taken to complete the job by 2nd company = [tex]24\ \text{hours}[/tex]
The job completed in 1 hour by 1st company = [tex]\dfrac{1}{72}\ \text{job}[/tex]
The job completed in 1 hour by 2nd company = [tex]\dfrac{1}{24}\ \text{job}[/tex]
The amount of job completed in 1 hour if they both work together[tex]1\ \text{hour}=\dfrac{1}{72}+\dfrac{1}{24}=\dfrac{1}{18}\ \text{job}\\\Rightarrow 1\ \text{job}=\dfrac{18}{1}\ \text{hours}=18\ \text{hours}[/tex]
So, if both companies work together it will take 18 hours to finish the job.
HELP ASAP
IDK WHAT THIS IS HELP
Answer:
b. [tex]\frac{13}{6}[/tex]
Step-by-step explanation:
(15, 3) (9, -10)
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
[tex]\frac{-10 + -3}{9 - 15}[/tex]= [tex]\frac{-13}{-6}[/tex] = [tex]\frac{13}{6}[/tex]
minimum or maximum value of f(x)=−0.5x2+2x−5.
In the equation assign each number a letter:
A = -0.5, b = 2 and c = -5
Maximum = -b/2a = -2/2(-0.5) = 2
Minimum = replace x in the equation with the maximum and solve for y:
-0.5(2)^2 +2(2) -5 = -3
Maximum and minimum = (2,-3)
Suppose Amanda LaCount is scheduled to dance 21 times in one month. If the ratio of dances completed to dances remaining is 3:4, how many dances has Amanda already performed?
Answer:
9
Step-by-step explanation:
if you add up the amount of dances she has to do, it equals 7. then you divide 21 by 7, which equals 3. then, you have to find the amount of dances she has already done, which would be 3 × 3 which equals 9.
Which of the following is not a property of zero? A.Zero is neither positive nor negative.
B. If you add zero to a number, the answer will be that same number.
C. If you multiply any number by zero, the answer will be zero
D. if you divide any number by zero, the answer will be zero
Answer:
D
Step-by-step explanation:
you can't divide by zero
at springtown café, 5/9 of the customers left a large tip. In contrast, 3/10 of the customers at Allenville bistro left a large til. Which restaurant had a greater fraction of customers who left a large tip? please help
Answer:
Springtown Cafe
Step-by-step explanation:
If you want to be sure, find a common denominator. 9 and 10 are the denominators of each fraction. Find the multiples of each (9's multiples would be 9, 18, 27, etc.) and find a common multiple between the two. In this case, it would be 90. Multiply the denominator to get the common denominator. 9 x 10 = 90, 10 x 9 = 90. Remember to multiply both the top and bottom.
5/9 = 50/90
3/10 = 27/90
Now, we can clearly see that 5/9 is larger than 3/10.
So, Springtown cafe has a greater fraction of customers who left good tips.
Solve for x, y, and z in the figure below.
47° 58°
x
y° / 81°
zº
N
оа
Ob
Ос
x = 34, y = 99, z = 41
x = 41, y = 92, z = 41
x = 72, y = 61, z = 41
X = 63, y = 70, z = 41
Od
Answer:
Option (A)
Step-by-step explanation:
From the given triangle in the picture,
∠y and the angle measuring 81° is a pair of supplementary angles (linear pair angles).
m∠y + 81° = 180°
m∠y = 180° - 81°
= 99°
By the property of a triangle,
x° + y° + 47° = 180°
x° + y° = 180° - 47°
x° + y° = 133°
For y = 99°
x° + 99° = 133°
x° = 133° - 99°
= 34°
Similarly, z° + 58° + 81° = 180°
z° + 139° = 180°
z° = 180° - 139°
z° = 41°
Therefore, Option (A) will be the correct option.
Applying the definition of the straight line angle and sum of triangle, the values of the variables in the figure are:
x = 34, y = 99, z = 41Recall:
Angles on straight line = 180°Sum of triangle = 180°Thus:
y° + 81° = 180° (angles on a straight line)
Subtract 81 from each sidey° = 180° - 81°
y° = 99°
x° + y° + 47° = 180° (sum of triangle)
Substitutex° + 99° + 47° = 180°
x° + 146° = 180°
Subtract 146° from each sidex° = 180° - 146°
x° = 34°
z° + 81° + 58° = 180° (sum of triangle)
z° + 139° = 180°
Subtract 139° from each sidez° = 180° - 139°
z° = 41°
Learn more here:
https://brainly.com/question/20676975
Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for each hour that he spends in the water. Josh spends 4.5 hours on the river. How much did he spend?
