Answer:
[tex]\frac{3}{20}[/tex] probability that you missed both the express bus and the local bus.
Step-by-step explanation:
Uniform distribution:
An uniform distribution has two bounds, a and b.
The probability of getting a value lower than x is:
[tex]P(X < x) = \frac{x - a}{x - b}[/tex]
The express bus arrives at your neighborhood at a random time between 7:30 and 7:36 a.m.
6 minutes, so [tex]a = 0, b = 6[/tex]
You arrive at 7:33, so if x < 3, you lose the express bus:
[tex]P_E = P(X < 3) = \frac{3 - 0}{6 - 0} = \frac{3}{6} = \frac{1}{2}[/tex]
The local bus arrives at your neighborhood at a random time between 7:30 and 7:40 a.m.
10 minutes, so [tex]a = 0, b = 10[/tex]
[tex]P_B = P(X < 3) = \frac{3 - 0}{10 - 0} = \frac{3}{10}[/tex]
Find the probability that you missed both the express bus and the local bus.
[tex]p = P_E*P_B = \frac{1}{2}*\frac{3}{10} = \frac{3}{20}[/tex]
[tex]\frac{3}{20}[/tex] probability that you missed both the express bus and the local bus.
The probability that you missed both the express bus and the local bus is 3/20
The individual probability of a uniform distribution is calculated as:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
For the express bus
At 7:30 am, a = 0
At 7:36 am, b = 6
You arrived at 7:33 am; this means that:
x = 3
For you to miss the express bus, it means that the express bus left before 7:33 am.
i.e. x < 3
So, the probability that you miss the express bus is:
[tex]P(X < 3) = \frac{3 - 0}{6 - 0}[/tex]
[tex]P(X < 3) = \frac{3}{6}[/tex]
[tex]P(X_E < 3) = \frac{1}{2}[/tex]
For the local bus
At 7:30 am, a = 0
At 7:40 am, b = 10
You arrived at 7:33 am; this means that:
x = 3
For you to miss the local bus, it means that the local bus left before 7:33 am.
i.e. x < 3
So, the probability that you miss the local bus is:
[tex]P(X < 3) = \frac{3 - 0}{10 - 0}[/tex]
[tex]P(X_L < 3) = \frac{3}{10}[/tex]
So, the probability that you miss both bus is:
[tex]P(Both) = P(X_E < 3) * P(X_L < 3)[/tex]
This gives
[tex]P(Both) = \frac 12 * \frac 3{10}[/tex]
[tex]P(Both) = \frac 3{20}[/tex]
Hence, the probability that you missed both the express bus and the local bus is 3/20
Read more about probability at:
https://brainly.com/question/25870256
The area of a parallelogram can be found by the
equation area = (b)(h)
Find the height of a parallelogram that has an area of
10 2 in2 and a base of Ži in.
SET
The height of the parallelogram is
inches.
I NEED THE ANSWE ASAP
Answer:
14
Step-by-step explanation:
just did it (don't search up mr hands)
Can someone please help me with this
Step-by-step explanation:
Therefore, 55+40+z=180
z=180-95
z=85
To get y,
z+y=180
85+y=180
y=95
you don’t have to tell me the answer i just dk what to do for this problem
Answ either
Step-by-step explanation:
QUICK I NEED HELP!!! I'll mark brainliest!
Which is a statistical question that could have been asked to collect the data shown on the dot plot?
1.How many student's are in your school?
2.On what day in July is Independence Day?
3.How many televisions do the families in your neighborhood own?
4.What is the height of your classroom door?
Answer:
How many televisions do the families in your neighborhood own?
Answer:
Step-by-step explanation:
There is no dot plot so I can’t help
Find the vertex of the graph of the equation $y = -2x^2 + 8x - 15.$
Answer:
(2,-7)
Step-by-step explanation:
I need help please.......
Answer: I and III
Step-by-step explanation:
The origin is at (0,0).
When we look at the graph, we can see that the only visible x and y intercepts are at the origin, (0,0) (an x or y intercept is where the graph intersects the x or y axis). We also know that because the graph is going outwards, it will not have another x or y intercept. So, I is correct.
II would be incorrect because the maximum point would be WAY further up. The maximum point is the highest point the graph will reach.
III is correct because the origin is the lowest point, which means that the origin is the minimum point.
1 in : 3 ft the center is 45 feet long and 28 feet wide
Answer:
Step-by-step explanation:
A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 dollars per pound and pistachio cost 6 dollars per pounds. How many pounds of each type of nuts should be mixed if the store owner will charge 5 dollars for the mixture?
Answer:
ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰ
Step-by-step explanation:
ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰ
A circle in the xy-coordinate plane has the equation x2 + y2 +6y -4 = 0. If the equation of the circle is written in the form x2 + (y+k)2 = c.
where k and care constants, what is the value of K?
Answer:
k = 3
Step-by-step explanation:
Given
x² + y² + 6y - 4 = 0 ( add 4 to both sides )
x² + y² + 6y = 4
Using the method of completing the square
add ( half the coefficient of the y- term )² to both sides
x² + y² + 2(3)y + 9 = 4 + 9
x² + (y + 3)² = 13
with k = 3
What is the value of y in the diagram?
y
x
X-20
Answer:
x+x-20 = 180-90
2x-20 = 90
2x. =90+20
2x. =110
x. =55
y+55. =90
y. =90-55
y. =35
the sum of a and 3a is
[tex]\boxed{4a}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]a + 3a \\ = 4a[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]
Answer:
Step-by-step explanation:
a+3a
since they are like terms u can add them
=4a
therefore a+3a=4a
Evaluate: log279
I just need the answer
Answer:
2.44560420
Step-by-step explanation:
find the value of x pls help
Answer:
x = 15°
Step-by-step explanation:
First Identify the angle of x by subtracting 180° - 120° = 60°
Always remember when you see a straight line the line measures 180°
So the angle of x = 60° but not the value of x so use the given equation to find the value of x
3x + 15 = 60°
3x - 15 = -15°
3x = 45
x = 15°
Vig compro un videojuego que tenía un descuento de 60%y pago $39 cual es el precio original del videojuego
Answer:
Precio original= $97.5
Step-by-step explanation:
Dada la siguiente información:
Precio de venta (con descuento)= $39
Porcentage de descuento= 60%
Para calcular el precio orinigal del videojuego, debemos usar la siguiente formula:
Precio original= precio de descuento / (1 - porcentage de descuento)
Precio original= 39 / (1 - 0.6)
Precio original= $97.5
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
x = 77.5
Step-by-step explanation:
1. Use cross-multiplication to find x.
[tex]\frac{13}{21} =\frac{48}{x}[/tex]
[tex]13x =1008[/tex]
2. Divide and round.
x ≈ 77.5
PLEASE HELP ME WITH THIS
Answer:
Plot your x,y points at (0,1) and (1,3)
Ella is building fruit baskets and is filling them with apples and oranges. She has 48 apples and 60 oranges, and wants to make sure each each fruit basket has the same number of apples and oranges with no fruit left over. Choose all options that can be used to make fruit baskets? Select all that apply.
Answer:
Ella could make:
2, 3, 4, 6, or 12 fruit baskets.
Step-by-step explanation:
We know that Ella has 48 apples and 60 oranges.
She wants to make N fruit baskets, such that each one of these fruit baskets has the same number of each fruit.
So we can define the variables:
a = number of apples in each one of these baskets
o = number of oranges in each one of these baskets
Then, if we have N baskets, we must have that:
N*a = 48
N*o = 60
a = 48/N
o = 60/N
And the values of a and o must be integers, then N must be a common factor of 48 and 60.
Remember that every number can be written as a product of prime factors, then let's rewrite 48 and 60 in that way:
48 = 2*24 = 2*2*12 = 2*2*2*2*3
60 = 2*30 = 2*3*10 = 2*2*3*5
Then, the common factors between 48 and 60 are the ones we can make with the prime numbers (that appear in both constructions) these are:
2
3
2*2 = 4
2*3 = 6
2*2*3 = 12
These are all the possible numbers of fruit baskets.
PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
266.386
Step-by-step explanation:
im not shore if its right, i used a surface area calculator
Answer:
56ft
Step-by-step explanation:
Surface area is adding up all the sides multiplied by 2, so:
8 x 2 = 16ft
8 x 2 = 16ft
12 x 2 = 24ft
24ft + 16ft + 16ft = 56ft
3-1/3n< 6;n>-9 What is n???
Answer:
i don't understand your question, but i'll try to the best of my ability.
the answer to that is:
-8.33333333333
Step-by-step explanation:
let me break this down into a way you might understand.
1: 3-1=2
2: 2 divided by 3=0.66666666666.
3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.
if that's not right let me know. i'm pretty clueless sometimes, and this might just be a higher level of math that i don't know.
you're welcome though, (i suppose..) and have a great day.
Marisa is buying a vase of red roses for Mother's day. The florist charges $12.00 for a vase Marisa selected plus $4.75 per rose. Determine an equation to represent the cost of the bouquet, C, in terms of the number of roses in the bouquet, r. If Marisa has saved $55 to get her Mother's Day bouquet, how many roses can she have the florist put in the vase?
Answer:
8 Roses
Step-by-step explanation:
Y = 15 + 4.50X
51 = 15 + 4.50X
51 - 15 = 4.50X
36 = 4.50 X
360 = 45x
360/45 = x
x = 8
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for
$1,300 at a well-known appliance store. The store is offering two options for Jaime to
finance the appliance:
Option: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate
2) The minimum monthly payment is $100 plus the monthly
finance charge
3) No down payment required
4) The loan is expected to be paid off in 12 months to avoid
additional penalties
Option II: The appliance store offers an installment loan for his purchase:
Loan charges a simple interest rate of 12,5%
2) Loan must be paid off in 12 equal payments to avoid penalties
A $300 down payment is required
A Which Option should Jaime choose if he wants the interest he pays to be as
small as possible?
The second option should be chosen as it depicts the amount with the lowest interest.
How to calculate the interestFor option 1, the annual interest will be:
= $1300 × 16.5% = $214.50
The monthly finance charge will be:
= $1300 × (0.165/12)
= $17.88
The minimum monthly payment for the first month will be:
= $100 + $17.88 = $117.88
Hence, the total amount paid will be:
= ($117.88 × 12) + $214.50
= $1629.06
For option 2, the simple interest will be:
= (1300 × 12.5%)
= $162.50
The amount that will be paid monthly will be:
= $1000/12
= $83.33.
In this case, the total amount paid will be:
= $162.50 + $1300
= $1462.50
Therefore, the second option is better as it's cheaper.
Learn more about interest on:
https://brainly.com/question/2294792
what is the answer on this question
Your Answer..
V=10in³
Hope This Helps You
A psychologist is interested in determining whether a new treatment for depression improves (decreases) depression scores. She randomly assigns 30 subjects to the treatment and 30 subjects to the control. At the conclusion of the study she uses an independent t-test to evaluate whether the groups differ on a widely used depression scale that ranges between 0 and 30. The treatment group mean is 18 and the control group mean is 22. What is the null hypothesis for the analysis
Answer:
Mean Hypothesis is Mean values of the treatment and the control group is not equal
Step-by-step explanation:
The null hypothesis is mostly the problem statement.
Here the problem statement is
To check whether there is a difference in treatment result of two groups of patient; one which has received the treatment and the other is the control group.
Thus, the null hypothesis is
H0 - Mean values of the treatment and the control group is not equal
A new LED light bulb uses 10 watts of power. Since
energy
=
power
×
time
, then the energy used for this light bulb can be found my multiplying the power times the time the bulb is lit. If the bulb is lit for one hour, the energy used will be 10 watt*hours or 10 Wh. If three 10 watt bulbs in one room are kept on for 5 hours, how many watt*hours of energy are used?
Parents sometimes yell at their children for leaving the light on in their bedroom when they aren't in the room. If the child's room is lit with two 10 watt bulbs for one extra hour a day for everyday of the year (365), and the cost of energy is $0.068 per kilowatt*hour (kWh), how much money is wasted on lighting that isn't being used, to the nearest cent.
Answer:
150 Wh
I guess the question means, how much money is wasted on lighting in a year ?
$0.50
Step-by-step explanation:
3 × 10W × 5 hours = 150 Wh
2 × 10W × 1 hour × 365 × 0.068 / 1000
divided by 1000, because the price is in kWh (1000 Wh), but the rest of the calculation refers to W. so, we need to bring all factors to the same dimension. the division by 1000 either brings the Wh to kWh, or the price to the price for Wh (instead of kWh). it does not matter which one. just one of these 2 things have to happen here, so that all factors have the same dimension.
=> 20 × 365 × 0.068 / 1000 = 7300 × 0.068 / 1000 =
= 7.3 × 0.068 = $0.50 (rounded from 0.4964)
what is 713.49 written as a standard form
i have no idea what this means pls help lol
Someone please help me out!!
Answer:
That's a right angled Triangle
When viewed upside down
(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)
tanA= Opp/Adj
tanA= 30/40
tanA= 3/4
OPTION D SEEMS LEGIT!!!
License plates are made using 2 letters followed by 4 single digits. If any letter can be only used once but the digits can be repeated how many plate numbers are available?
Answer:
6,500,000
Step-by-step explanation:
Here, we first need to find all the possible selections for the code.
Then, we need to find the number of options for each one of these selections.
We have, 2 letters followed by 4 single digits.
There are 26 letters
There are 10 single digits.
For the first letter, we have 26 options.
For the second letter, we have 25 options (because one is already taken, and we can repeat that)
And for each one of the numbers, we have 10 options (we can repeat the numbers)
The total number of options for the code, is equal to the product of all the numbers of options for each selection, then the total number of possible plate numbers is:
C = 26*25*10*10*10*10 = 6,500,000
Jeremy received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14 left. Write the equation used to determine how much each game cost.
A.3x + 14 = 65
B.3x - 14 = 65
C.65 - 3x = -14
D.14 - 3x = 65
Answer:
i believe the answer should be
Step-by-step explanation:
3x+14=65 which is telling you that 3 times a number which is unknown so we will call it x and add 14 equals 65. when you work it out you should get the total which is 65. so the way you work that out is you separate everything without an x to the right side of the equation which looks like 3x=65-14 then work it out subtract 14 from 65 and you get 3x=51 )which is total spent on 3 games. Then you divide 3x/3= 51/3 then the 3s cancel our so you have x=51/3 and when you work that out you get your answer x=17 which is the cost per game.
write a liner equation that passes through the point (2, -9) and has a slope of -5
Answer:
y=-5x-9
Step-by-step explanation: