For there to be 1 car, we consider two possible outcomes:
The first door opened has a car or the second door opened has a car.
P(1 car) = 2/6 x 4/5 + 4/6 x 2/5
P(1 car) = 8/15
For there to be no car in either door
P(no car) = 4/6 x 3/5
P(no car) = 2/5
Probability of at least one car is the sum of the probability of one car and probability of two cars:
P(2 cars) = 2/6 x 1/5
= 1/15
P(1 car) + P(2 cars) = 8/15 + 1/15
= 3/5
A truck requires 1 gallon of gas to cover a distance of 10 miles. How many gallons of gas will it take to cover 200 miles?
Answer: 20
Step-by-step explanation:
Answer:
20 gal of gas
Step-by-step explanation:
200÷10=
20
Multiply. Simplify your answer and write as a mixed or whole number.
6 1/3 ⋅ 2
Determine whether the following graph represents a function.
PLZ HELP!! the picture is above
Answer:
yes it is a function
Step-by-step explanation:
If the sum of three consecutive numbers is 1998, what is the first one?
Answer:
666
Step-by-step explanation:
Because I said so.
The path of a punted football is modeled by
f(x) = −
16
1225
x2 +
7
5
x + 1.5
where
f(x)
is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.
(a) How high is the ball when it is punted?
Correct: Your answer is correct.
ft
(b) What is the maximum height of the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
(c) How long is the punt? (Round your answer to two decimal places.)
Incorrect: Your answer is incorrect.
ft
Step-by-step explanation:
C is the answer of your question
South America's greatest river system is the ___________.
Mississippi-Missouri
Nile
Amazon
Rhine
Answer:
amazon
Step-by-step explanation:
its the biggest
2/3-3/5 = ?/15-?/15
Answer:
10/15-9/15
Step-by-step explanation:
Answer:
2/3-3/5=10/15-9/15
Step-by-step explanation:
You want a common denominator which here is 15. To get to 15 in 2/3 you needed to multiply by 5 and in 3/5 you needed to multiply by 3.
Please help me!! Find the distance between points (-7,-4) and (-2,0)
Answer:
This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.
Step-by-step explanation:
Which list has three equivalent fractions for 3/4?
Answer:
6/8 12/16 27/36
Step-by-step explanation:
Write in slope intercept form:
(-3,7) and (6,-8)
Answer:
[tex]y=-\frac{5}{3}x+2[/tex]
Step-by-step explanation:
So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.
Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]
So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).
[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]
Distribute the -5/3 on the right side.
[tex]y-7=-\frac{5}{3}x-5[/tex]
Add 7 to both sides.
[tex]y=-\frac{5}{3}x+2[/tex]
And now we have the equation in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-3,7) and (6,-8)
m=-8-7/6-(-3)
m=-15/6+3=-15/9
m=-5/3
Now let us find the y intercept b.
7=-5/3(-3)+b
7=5+b
b=7-5
b=2
The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)
y=-5/3x+2
Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
What is the equation of this line
A. Y = 2x - 3
B. Y = -1/2x - 3
C. Y = -2x - 3
D. Y = 1/2x - 3
For babysitting, Zou Jing charges a flat fee of $10, plus $15 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours? How many hours does Zou Jing need to babysit to afford a PS5 ($500)?
Answer:
C=5h+3 when h=5
C=28
Step-by-step explanation:
What is 0.4 as a decimal
Answer: 0.40 and 40%
Answer:
40%
Step-by-step explanation:
Daniel has to carry 32 boxes to his room. He can
carry 4 boxes on each trip. How many trips will
Daniel take? Show your work?
Daniel will take 8 trips.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
Now it is given that,
Number of boxes = 32
Number of boxes can be carried in each trip = 4
So, Number of trips = Number of boxes / Number of boxes can be carried in each trip
⇒ Number of trips = 32/4
⇒ Number of trips = 8
this is the required number of trips Daniel will take.
Thus, Daniel will take 8 trips.
To learn more about Division here :
brainly.com/question/28032495
#SPJ2
Square the following numbers 4,6,13,10
Answer:
16 36 169 100
Step-by-step explanation:
Answer:
16, 32, 169, 100
Step-by-step explanation:
A store plans to sell two different game consoles, the Wii and the xbox. The store’s wholesale price for the Wii is $250, and the store can sell one for $295. The xbox wholesale price is $400, and the store can sell it for $450. The stores marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager doe not want to invest more than $70,000 in inventory costs for game consoles. Write the constraints and the objective formula.
I'll answer this question in a bit, I am busy with some other things right now.
If points A,B and C are collinear, determine the value of x in the diagram.
Answer:
x equal four-teen... I'm pretty sure brainliest plsss
can someone please help? i need to find the slope of a line. it’s for a test!
Answer:
Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
The slope is 2/3
Step-by-step explanation:
The equation that the graph gives us is y = 2/3x + 3.
With this equation, we know that the slope is 2/3.
Bonus:
With this equation, we also know that the y-intercept is 3.
plz help me find x!!!!!!!!!!!!!!!!
Answer:
A: 45
B: 110
C: 25
Step-by-step explanation:
all angles of a triangle always add together to make 180
x + 25 + x + 65 = 180
combine like terms
2x + 90 = 180
subtract 90 from both sides of the equation
2x = 180 - 90
divide both sides of the equation by 2
x = 90/2
x = 45
Which choice is the correct answer for: 2.78 * 6?
12.78
16.28
13.18
16.68
Answer:
16.68
Step-by-step explanation:
You can either enter it into the calculator or do it the long way.
4/5 of the cake was left, but after Brian ate some only 1/4 of the cake was left. Which fraction of the cake did Brian eat?
Answer:
3/4
Step-by-step explanation:
there was 4/5 you just had to minis 3and 4
sally has $15,208 and wants to buy a tv for 16,000 round 15,208 to the nearest hundred
Answer:
15,200
Step-by-step explanation:
Answer:
15,200
Step-by-step explanation:
208 is much closer to 200 than 300. it says hundred so look a the hundreds place (208) and round. 250 and up = next hundred number 249 and down = same hundred number
Which pair of numbers has the greatest common factor of 3?
3 and 12
3 and 33
4 and 9
9 and 12
Answer: 9 and 12
Step-by-step explanation:
Answer:
9 and 12
I HOPE IT WILL HELP YOU?:-)
2/7 divided by 8/9. HURRY
Answer:
9/28 in fraction , 0.3214285714 in decimal
Step-by-step explanation:
0.32142857142 in decimal form
A researcher wants to know how undergraduate college students at her university feel about a list of 1196 undergraduate college students at her university, selects 500 of them at random, and emails a questionnaire to them 107 questionnaires are returned. Of these, 71% stated that they believe that the federal student loan program needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study. If a group does not belong in either category, leave it unplaced.
Population
all undergraduate college students all researcher's university
the 1196 undergraduate college students whose names were obtained
the proportion of all undergraduate college students at the researcher's university who believe that the federal student loan program needs to be completely overhauled
Sample
the 500 undergraduate college students who were randomly choosen
the 71% who stated that the federal student loan program needs to be completely overhauled
Complete Question
The complete question is shown on the first uploaded image
Answer:
Population
All undergraduate college students at the researcher's university ,
Sample
The 107 undergraduate college students who returned the questionnaire
Step-by-step explanation:
From the question we are told that
The list of undergraduate college students obtained from her university is n= 1196
The number of student that are randomly selected is n = 500
The number of e-mail that was returned is k = 107
The proportion that believes that the federal student loan program needs to be completely overhauled is [tex]\^{p} = 0.71[/tex]
Generally the population for this particular study is
All undergraduate college students at the researcher's university ,
this is because they are the total pool of data from which the statistical sample are randomly selected from
Generally the sample for this particular study is
The 107 undergraduate college students who returned the questionnaire
this is because this data provides us with an insight on the perspective of all undergraduate college students at the researcher's university about federal financial aid
quick easy math question please help write in fraction form brainliest will be awarded :)))
- [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{4}[/tex]
Answer:
- 5/8 + 3/4 = 1/8
Step-by-step explanation:
I hope this helps!
whats the square root of 10?? For each to the nearest 0.05.
Answer:
3.16(i think)
Step-by-step explanation:
please help i don’t understand, thanks! :)
Answer:
B
Step-by-step explanation:
My best guess would be 12 tickets, but seeing as that is not an option, I see that the only similarity all of the numbers in the x column have is that they are even numbers, and B is the only option that is even as well
15/16 pi radians in degrees
Answer:
960 degrees
Step-by-step explanation:
16pi/3 times 180/pi
16/3 times 180
16 times 60= 960
hope this helps!!
Answer:
168
Step-by-step explanation:
e2020
SOMEONE PLEASE HELP ASAP!!!
Answer:
Step-by-step explanation:
Recall that (a-b)(a+b) = a^2 - b^2
So,
(x-2i)(x+2i) = x^2 - (2i)^2 = x^2+4
(x+i-i)(x+1+i) = (x+1)^2 + 1 = x^2 + 2x + 2
(x-2+2i)(x-2-2i) = (x-2)^2 + 4 = x^2 - 4x + 8