Answer:
a
[tex]\mu = 6[/tex]
b
[tex]x= 3.2[/tex]
c
[tex]P( X> 16 | X > 9 ) = 0.222[/tex]
Step-by-step explanation:
Considering question 1
From the question we are told that
The waiting times for the train are known to follow a uniform distribution
i.e
[tex]X \~ \ \ \ Uniform(a =0 , b= 12)[/tex]
Generally the cumulative distribution function for uniform distribution is mathematically represented as
[tex]F(x) = \left \{ {{0 \ \ \ \ \ \ \\ \ \ \ for x < a } \atop {\frac{x - a}{b-a} \ \ \ \ \ \ for a \le x \ le b }} \atop { 1 \ \ \ \ \ \ \ \ \ \ \ for x > b}\right. [/tex]
Generally the average time is mathematically represented as
[tex]\mu = \frac{a+ b}{2}[/tex]
=> [tex]\mu = \frac{0+ 12}{2}[/tex]
=> [tex]\mu = 6[/tex]
Considering question 2
The waiting times for the train are known to follow a uniform distribution
i.e
[tex]X \~ \ \ \ Uniform(a =0 , b= 16)[/tex]
Generally the 20th percentile of the waiting time is mathematically represented as
[tex]f(x) = \frac{x- a }{b- a} = 0.2[/tex]
=> [tex]f(x) = \frac{x- 0 }{16- 0} = 0.2[/tex]
=> [tex]x= 3.2[/tex]
Considering question 3
The waiting times for the train are known to follow a uniform distribution
i.e
[tex]X \~ \ \ \ Uniform(a =0 , b= 18)[/tex]
Generally the probability of waiting more than 16 minutes given a person has waited more than 9 minutes
[tex]P( X> 16 | X > 9 ) = \frac{P( X > 16 \ \ n \ \ X > 9 )}{P( X > 9 )}[/tex]
=> [tex]P( X> 16 | X > 9 ) = \frac{ P(X > 16 )}{P( X > 9 )}[/tex]
=> [tex]P( X> 16 | X > 9 ) = \frac{\frac{18 - 16}{18} }{\frac{18 - 9}{9 } }[/tex]
=> [tex]P( X> 16 | X > 9 ) = 0.222[/tex]
The probability shows that the average waiting time is 6 minutes.
How to solve the probability?The average time will be calculated thus:
= (a + b)/2
= (0 + 12)/2
= 12/2
= 6 minutes
The 20th percentile for the waiting times will be calculated thus:
f(x) = (x - 0)/(16 - 0) = 0.2
x = 0.2 × 16
x = 3.2
Therefore, the 20th percentile for the waiting times is 3.2 minutes.
The probability of waiting more than 16 minutes given a person has waited more than 9 minutes will be calculated thus:
= [(18 - 16)/18] / [(18 - 9)/9]
= 0.222
Learn more about probability on:
https://brainly.com/question/24756209
1.25% of what number is 17.5?
Answer:
1400
Step-by-step explanation:
Divide [tex]17.5[/tex] by [tex]0.0125[/tex].
6-5x=20 pls help
i am in rush
Answer:
20
Step-by-step explanation:
Answer:
x = -14/5 or -2.8
Step-by-step explanation:
6 - 5x = 20
Subtract 6 from both sides.
- 5x = 14
Divide both sides by - 5
x = -14/5 or -2.8
I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!
The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Age 36 39 48 53 58
Bone Density 358 351 330 325 314
Table
Step 1 of 6 : Find the estimated slope. Round your answer to three decimal places.
Answer:
-1.973
Step-by-step explanation:
Given the data :
Age 36 39 48 53 58
Bone Density 358 351 330 325 314
Equation of regression line is in the form:
yˆ=b0+b1x
Where y = predicted variable ;
b0 = intercept ; b1 = slope or gradient ; x = predictor variable
Using The correlation Coefficient calculator :
The regression equation obtained is :
ŷ = -1.97316X + 427.94399
From the equation ;
The slope or gradient (b1) = - 1.97316
Hence, estimated slope to 3 decimal places is : - 1.973
7-9=7+
I need help ASAP PLZ
Answer:
(-9)
Step-by-step explanation:
Or -9
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
During a dry spell, the water level of a pool dropped inches The owner added 3 inches of water with a hose. Which expression shows one way to calculate the total change in water level of the pool over this time?
Answer:
you can subtract the number of inches off the first pool water amount then you can add the 3 inches of water added with the hose.
Step-by-step explanation:
Answer:
the answer is (D.) i hope this helps!
Step-by-step explanation:
Solve x^2 + 18x – 19 = 0 by completing the square.
A) x = –1, x = 19
B) x = –9 + 10i, x = –9 – 10i
C) x = –9 + , x = –9 –
D) x = 1, x = –19
Answer:
The answer is D
Step-by-step explanation:
David made a class banner out of a large rectangular piece of paper. He cut a triangular piece out of one side. what is the area ,in square inches, of the banner?
1. Find the inverse of the one-to-one function f(x)= 6x-7 / 5
The ratio of the ages (in years) of two teachers is 8:9. The sum of their ages is 51. What is the age of each teachers?
Answer:
x = 24yrs and y = 27yrs
Step-by-step explanation:
Let the age of one of the teachers be x
Let the age of the other teacher be y
From the second sentence;
x + y = 51 ----------(1)
From the first sentence;
x/y = 8/9 ------------(2)
Making y the subject of formula in equation (1) as follows;
y = 51 -x -------------(3)
Substitute (3) into (2) as follows;
x/51- x = 8/9
Cross multiply as follows:
9*x = 8(51- x)
9x = 408 - 8x
Collecting like terms;
9x + 8x = 408
17x = 408
Divide both sides by 17;
x = 24 yrs
Substitute x = 24 into equation (3) as follows;
y = 51 - 24
y = 27 yrs
Please help , I have the picture and everything (worth 10 points) but don’t be on no bs .
Answer:
i think its the firt one
Step-by-step explanation:
Answer:
answer a
Step-by-step explanation:
Thank u look at the pic
Answer:
If im not mistaken it's
Step-by-step explanation:
4a - No
4b - Yes
4c - Yes
4d - No
Answer:
4a. yes cuz 0.2 is the same as 1/5 just in a fraction form
4b. yes cuz your counting by 1's so 0.1 0.2 etc
4c. yes cuz 0.7 is 7/10
4d. no cuz your counting by 1's so 0.1 0.2 0.3 etc
hopefully this helped!
please help, i am really lost
Karl is a basketball player whose height is 76in. His team’s mean height is 79.5 in.
a) What is Karl’s z-score?
b) What percent of players in the team are shorter than Karl?
Answer:
Karl's z-score (standard score) is 0.706
Answer:
.
Step-by-step explanation:
.
why the law of contract has seen so little constitutional transformation?
Answer:
Because the law of contract has to do with private law relation.
Step-by-step explanation:
Given that law of contract has to deal with Private laws involving parties to the contract, but not in any way affecting or involving the state or society. The law of contract has seen so little constitutional transformation. For example law of the contract between manufacturers of cars and consumers or buyers.
This is evident in the fact that people's perception and the reality is that the outcomes of the successful delivery or breach of the law of contract have no direct implication on the other people in the society such as individual rights.
solve by completing the square . x^2+7x+3=0
show work
help asap! will award brainly and pls explain!
This is a right angle triangle.
So, by Pythagoras theorem,
√(32^2+20^2) = x
or √(1024+400) = x
or √1424 = x
or 37.74 = x
ASAP HELP!!! A bag of marbles comes with 8 purple marbles, 12 red marbles, and 6 blue marbles. What is the ratio of RED MARBLES to ALL THE MARBLES?
Group of answer choices
12 to 26
12 to 8
12 to 6
12 to 14
Answer:
12 to 26
Step-by-step explanation:
u go get that answer lol
Answer:
12 to 26
Step-by-step explanation:
First you have to identify the amount of red marbles (which is 12)
Then combine the total amount of marbles (including the red marbles)
Which should give you 12 to 26.
3) James got a 84% on a test that had 25 questions. how many questions did james get correct
Answer:
21 questions
Step-by-step explanation:
0.84 times 25 = 21
Answer:
James got 21 questions correct.
Step-by-step explanation:
100% = 25 questions
84% = [tex]\frac{84}{100}[/tex] × 25
= 21 questions
Help me in this question pleaseeeeeeeeeee
Answer:
10
Step-by-step explanation:
Miguel will circle 10 counters because 5/8 * 16 = 10.
Answer:
A. 10 is the correct answer.
Step-by-step explanation:
The equation is 5/8 x 16.
Here, there are 16 counters. This is also known as 2 rounds of 8, which is the denominator in our fraction. Since 8 is 1/2 times 16, 5 x 2, or 10, is the correct answer.
Hope this helps! :)
I need help. Thanks!
Answer:
Step-by-step explanation:
What is the length of JN? Please help!
Answer:
Answer is 6 and 2/3. That’s it
Step-by-step explanation:
The length of JN of the second triangle is [tex]6\frac{2}{3}[/tex].
Triangle SimilarityWhat is similarity of triangles?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Calculation for the length JN:As the two triangles BTL and PJN are similar because the corresponding two angles are given equal in the question.
Thus, the ratios of the side are equal.
[tex]\frac{BT}{JP} = \frac{LT}{JN}[/tex]
[tex]\frac{6}{8} =\frac{5}{JN}[/tex]
[tex]JN =\frac{20}{3}[/tex]
[tex]JN= 6\frac{2}{3}[/tex]
Therefore, the length JN of the triangle comes out to be [tex]6\frac{2}{3}[/tex].
To know about the use of SSS, SAS, ASA, or AAS congruence, here
https://brainly.com/question/3999145
#SPJ2
I need this one fast
Answer:
c
Step-by-step explanation:
Which equation has no solution?
-5+8x-9=3(x+3)
-2(6-3x)=-12+6x
6-2(3-2x)=-4(3-x)
-(4x+9)=2x-3(2x+3)
Answer:
-2(6-3x)=-12+6x
Step-by-step explanation:
If you do the distributive property first and look at the other side of the = sign they are the same, which means that the answer would be x=x, which isn't a solution.
use the substitution method to solve the system of equations.
x+y=11
-x=-y-9
Like you said, we need to use substitution to solve for y.
[tex]x + y = 11\\-1(-x = -y - 9)\\\\x + y = 11\\x = y + 9\\\\y + 9 + y = 11\\\\2y + 9 = 11\\\\2y = 20\\\\y = 10[/tex]
Now that we've solved for y, we can plug in the number we got into one of the original equations. (You can choose either equation, but I will use the first one.)
[tex]x + 10 = 11\\\\x = 1[/tex]
Now we have the solution of this system.
[tex](1, 10)[/tex]
Which is the graph of y = cos(x) + 3?
Answer:
Graph B on Edg
Step-by-step explanation:
Starts at 4 goes down to 2 then back up to 4
Parallel and Perpendicular Lines
From the given slopes of the lines, identify whether the two lines are parallel, perpendicular, or neither.
Help me please please please
Answer:
neither; perpendicular; parallel; neither; neither
Step-by-step explanation:
parallel line is where the 2 slopes have same gradient and perpendicular means the two lines have a -1 slope when producted
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks! (I'll be uploading tips on parallel and perpendicular lines soon today!)
It costs $5.50 per hour to rent a pair of ice skates for the first 2 hours. After 2 hours, the rental cost decreases to $2.50 per hour. Using the table you created for the last problem, calculate the cost to rent a pair of ice skates for 4 hours.
Answer: It would cost $16 dollars for 4hrs
Step-by-step explanation:
1. First find the value of the first two hours so $5.50+$5.50=$11
2. Then calculate how much for the last two hours, so $2.50+$2.50=$5
3. Combine the two $11+$5=$16 for 4hrs
Which property is being demonstrated by: 6 + x = x + 6
a) Identity Property
b) Associative Property
c) Distributive Property
d) Commutative Property
Answer:
Identity property is being used
In ∆ABC A= 50°. B = 70° , then B =________
(A) 120° (B) 60° (C) 50 (D) 709
Answer:
(B) 60°
Step-by-step explanation:
The total sum of angles in a triangle is 180°. Since you already know the first 2 angles, you can find the last angle C.
C = 180° - 50° - 70°
= 60°
Answer:
What angel are you aking for?
Step-by-step explanation:
Two points are chosen randomly and independently from the interval [0, 1] according to a uniform distribution. Show that the expected distance between the two points is 1/3.
Answer:
X and Y are independent
Step-by-step explanation:
attached below is the detailed solution
X and Y are independent
f(x,y) = fx(x) fy (y) = 1
There are 20 nickels in one dollar. a. Write an equation to find the number of nickels in any number of dollars
Answer:
20x=?
Step-by-step explanation:
x= the dollar amount