Answer:
-1/4
Step-by-step explanation:
y2-y1 / x2-x1 = 53-47 / 9-33 = 6/-24 = -1/4
1. The Sky Train from the terminal to the rental car and long-term parking center is supposed to arrive every 12 minutes. The waiting times for the train are known to follow a uniform distribution. What is the average waiting time (in minutes)?2. The Sky Train from the terminal to the rental car and long-term parking center is supposed to arrive every 16 minutes. The waiting times for the train are known to follow a uniform distribution. Find the 20th percentile for the waiting times (in minutes).3. The Sky Train from the terminal to the rental car and long-term parking center is supposed to arrive every 18 minutes. The waiting times for the train are known to follow a uniform distribution. What is the probability of waiting more than 16 minutes given a person has waited more than 9 minutes?
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
What triangle is this. May someone tell me?
Answer:
It is a Right triangle
Step-by-step explanation:
it was one right angle, and two acute, therefore it is considered a right triangle.
An airplane compartment can hold thirty-six pieces of luggage. If a small plane had sixteen compartments, how many pieces of luggage could they hold
Point (-4,3) lies in quadrant I,II, III
Answer:
II
Step-by-step explanation:
Answer: It would be in the second quadrant
yvonne has 23 points at the end of the first game at the end of the second game her total was -8 how many points did she lose
Answer:
she lost 31 points
Step-by-step explanation:
23--8=-31
28-31=-8
Answer:
She lost 31 points lol
Step-by-step explanation:
plz help me thanks so mycghh
Answer:
(4). g(2) > f(2) False
Step-by-step explanation:
(1). (f(0) = 2) > (g(0) = - 4) (True)
(2). f( - 4) = 4( - 4 ) + 2 = - 14
g( - 4) = (5/2)(- 4) - 4 = = - 14
f( - 4) = g( - 4) (True)
(3). f(6) = 4(6) + 2 = 26
g(12) = (5/2)(12) - 4 = 26
f(6) = g(12) (True)
(4). g(2) = (5/2)(2) - 4 = 1
f(2) = 4(2) + 2 = 10
g(2) > f(2) (False)
7 divided 2/3 , give answer in its simplest form
Answer:
21/2 or 10 1/2
what is the rate of leaking
Which expression is equivalent to (5x–3y4)2?
A. 25x^6 y^8
B. 10x^6 y^8
C. 25y^8/ x^6
D. D.10y^8/ x^3
Hopefully I wrote that out correctly. Answer right and I'll award brainliest.
Ted is building a garden in his yard. He measures one side of his yard and finds it is 12 meters.
Which measurement did Ted find?
Answer:
Length or Area
Step-by-step explanation:
Ted is taking the measurements to find out how big he wants the garden
Need help!! I can't figure this out
9514 1404 393
Answer:
12. $1,035,057.23
13. $988,881.23
14. $7,762.93
15. $8,686.16
16. $967,647.66
Step-by-step explanation:
The annuity and amortization formulas are used for problems like this.
sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)
monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))
__
12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...
A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23
__
13. The total of payments is ...
$74×12×52 = $46,176
So, the interest earned is ...
$1,035,057.23 -46,176 = $988,881.23
__
14. The amount available in perpetuity is the monthly interest on this account balance.
$1,035,057.23 × .09/12 = $7,762.93
__
15. The monthly amount available for 25 years is found from the amortization formula:
A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16
__
16. The amortization formula is used for this, too.
8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P
P = $8066/0.00833568 = $967,647.66
Will give brainlest and heart if correct sooo yeah
Answer:
(5,-2)
Step-by-step explanation:
When dilating, you multiply the point with the scale factor. 10*1/2 is basically dividing by 2. 10/2 is 5. -4/2 is -2.
Therefore, the correct answer is (5,-2)!
Hope I helped!!!!
whats expressions are equal to 4( 7x + 2 + x )
Answer:
8 (4 x + 1)
and
32 x + 8
Step-by-step explanation:
3. The table below shows the rates for two duplicating companies.
For what number of pages will the two duplicating stores charge the same amount?
Answer:
250 pages
Step-by-step explanation:
Write an expression for the cost of x pages for each of the companies. Then set the expressions equal, and solve for x, the number of pages.
Quick Copy: 5 + 0.06x
Copy Place: 10 + 0.04x
5 + 0.06x = 10 + 0.04x
0.02x = 5
x = 5/0.02
x = 250
Answer: 250 pages
Check
Quick Copy: 5 + 0.06(250) = 5 + 15 = 20
Copy Place: 10 + 0.04(250) = 10 + 10 = 20
For 250 copies, both places cost $20. 250 copies is the correct answer.
Each 1/4 inch on a map represents an actual length of 1/8 of a mile. What length on the map represents 1 mile?
Answer:
2 inches
Step-by-step explanation:
Answer:
2 inches
Step-by-step explanation:
A local grocery store received a new shipment of apples. The apples arrived in 8 crates with 20 apples in each crate. If the store pays $0.21 per apple and sells each apple for $0.79, what would the profit be after selling all of the apples?
A.
$16.24
B.
$22.12
C.
$92.80
D.
$126.40
The correct answer is C. $92.80
Explanation:
The first step is to calculate the profit for each apple, this can be found by subtracting the cost the store pays from the selling price.
$0.79 - $0.21 = $0.58
This means for each apple the store sold, the profit (amount of money earned) is $0.58. Now, let's find the total apples the store received, and therefore the total of apples the store can sell.
8 creates each with 20 apples
8 x 20 = 160 apples
Finally, multiply the profit for selling one unit by the total apples
160 x 0.58 = $92.8
In a class of 40 students, 75% returned their permission slips for the school field trip. HowIn a class of 40 students, 75% returned their permission slips for the school field trip. How many students returned their permission slips
Answer:
30 students
Step-by-step explanation:
Given
[tex]Students = 40[/tex]
[tex]\% = 75\%[/tex] ---- percentage of those that returned their slips
Required
Determine the number of those that returned their slips
Represent the number with n
To calculate n, we simply multiply the number of students by the percentage of those that returned their slips
i.e.
[tex]n = 40 * 75\%[/tex]
Convert % to decimal
[tex]n = 40 * 0.75[/tex]
[tex]n = 30[/tex]
Hence, 30 students returned their slips
Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 miles from her school. She rides an additional 2.5 miles for each trip, t, she makes around the park. Which inequality represents the situation?
5 (2) (6.25) + 2.5 t less-than-or-equal-to 85
5 (2) (6.25) + 2.5 t less-than 85
5 (2) (6.25) + 2.5 t greater-than-or-equal-to 85
5 (2) (6.25) + 2.5 t greater-than 85
its a because 5 (2) (6.25)+2.5t has to at least equal 85.
Answer:
A- 5 (2) (6.25) + 2.5 t less-than-or-equal-to 85
Step-by-step explanation:
e d g e n u i t y u n i t t e s t
see attachment, Im confused.
Answer: what attachment I don’t seee nun
Step-by-step explanation:
Answer:
A=4,4 B= -6,2 C=8,8
Step-by-step explanation:
just look at it the x-axis is the middle line and the y-axis is the up and down line you put x-axis first not y
what is b output when the input, a is 6
b=-1-7a
Answer:a
Step-by-step explanation:
HELP PZZ Nate has 5 green marbles and 3 red marbles. Select the ratios that compare the number of red marbles to the total number of marbles. Mark all that apply.
what is 6/5 x 25/24 = ?
If ABC is reflected across the y-axis, what are the coordinates of C?
Answer:
C
Step-by-step explanation:
The y axis is vertical so you only change the x value.
The coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle shown on the coordinate plane.
If ABC is reflected across the y-axis,
Then the coordinate of C
From the figure, the coordinate of C is(before reflection)
C = (6, 3)
The rule for transformation if reflected across the y-axis:
(x, y) → (-x, y)
(6, 3) → (-6, 3)
Thus, the coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ5
- 9/12 + 9/12 explain
What is the first step in the problem below?
1+n/7=3
A. Do the reciprocal of 1/7
B. Divide both sides by 7
C. Multiply both sides by 7 for the inverse
D. Subtract 1 on both sides for the inverse
Answer:
C.
Step-by-step explanation:
I'm assuming that the equation is (1+n) / 7 = 3, where 1+n is the numerator and 7 is the denominator.
In this case, to isolate for n, you have to multiply both sides by 7.
then you get 1+n = 3/7, and then you can get n = 3/7 - 1
WILL MARK BRAINLIST!!!!!
10 is 5% of what number?
What percent of 90 is 36?
4 is what percent of 20?
Answer:
1: 50
2: 2.5
3: 5
1: multiply 10 by 100 and then divide the total by 5
as follows:
(10 x 100) / 5multiply 10 by 100 and then divide the total by 5 as follows:
(10 x 100) ÷5
equals 200
2: 90 is 250% of 36
3: 4: 20*100 =
(4*100): 20 =
400: 20 = 20
1. Ali mula mengulangkaji mata pelajaran matematik pada pukul 8.10 p.m.
Dia tamat mengulangkaji pada pukul 10.05 p.m. Berapa lamakah Ali
mengulangkaji mata pelajaran matematik?
Last week Rachel walked 235 miles per day on each of the 7 days. During the same week, she also jogged 534 miles per day on 4 days. What is the total number of miles Rachel walked and jogged last week?
Answer:it should'nt be hard :)
Step-by-step explanation:
Answer:
3,781 miles
Step-by-step explanation:
Do 235x7 and 534x4. then add the two together. srry if im wrong btw. the total should be 3,781 .-.
choose the highest HCF of 6xy^3 and 9x^2y
A.x^2y^3
B.3xy
C.54x^3y^4
D.18x^2y^3
Answer:
3xy.
Step-by-step explanation:
HCF of 6 and 9 = 3.
HCF of x and x^2 = x.
HCF of y^3 and y = y.
So that would be 3xy.
Keej is planning a road trip and needs to budget for gas. His car gets 26 mpg. He expects to drive 1092 miles. If a gallon of gas costs $1.69, how much should Keej budget to spend on gas
Answer:
if it is addition here 109369 or subtraction here 1090.04
Step-by-step explanation:
add or subtract