Answer:
12/18 = 4/6
Step-by-step explanation:
On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson distribution on the highway. a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.)
Answer:
a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]
This probability is:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]
0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.
This is
[tex]P(X > 1) = 1 - P(X < 2)[/tex]
We have that [tex]P(X < 2) = 0.1992[/tex]
So
[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]
0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
5(3m+2)
please help me
Answer:
(5x3m) + (5x2) = 15m + 10
Step-by-step explanation:
multiply 5 to 3m plus 5 to 2 which is equivalent to 15m + 10
Last year, Ahmad opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5%. How much is this
increase in dollars? How much money was in his account at the end of last year?
Answer:
Step-by-step explanation:
The increase was
5400(0.075)=$405
The money in the account was
5400+405=$5805
FLIPPIN H E L P
which shows how to solve the equation3/4 x = -6 for x in one step?
a) 3/4 (4/3)x = -6 (4/3)
b) 3/4 (4)x = -6 (4)
c) 3/4 (4)x = -6 (3)
d) 3/4 (4/3)x = -6 (3/4)
please help me ,38 points for 2-7 this is 7th grade 1 step equation word problems
2) Alyssa is baking a cake. The recipe calls for 9 cups of flour. She already put in 4 cups. How many more cups does she need to add ?
3) After eating at the restaurant, Sara, Tom, and Keith decided to divide the bill evenly. If each person paid 45 dollars, what was the total of the bill ?
4) Tim had 15 peaches left at his roadside fruit stand. He went to the orchard and picked more peaches to stock up the stand. There are now 68 peaches at the stand, how many did he pick?
5) Keith received 52 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 47 dollars left over, how much did he spent on the baseball gear?
6) Last week Tim had 38 dollars. He washed cars over the weekend and now has 91 dollars. How much money did he make washing cars ?
7) There were 6 roses in the vase. Jessica cut some more roses from her flower garden. There are now 16 roses in the vase. How many roses did she cut?
Answer:
the answer would be the equilibrium of 28.59295
Amir has $200 budget to spend on a graduation party for his son he already has purchased $122 worth of drinks and party supplies he wishes to buy chicken pizza or subs for the main course prices including tax are shown below
Answer: C, D, and E
Step-by-step explanation:
200-122=78 remaining
A: 7*11.75= 82.25
B: 10*11.75= 117.50
C: 9*6.80=61.20
D: 11*6.80=74.80
E: 70*1.10=77.00
F: 71*1.10=78.10
Only C, D and E are below the dollars remaining in the budget.
Please Help......If you were to flip a coin 60 times, how many times would you expect the coin to land on heads?
Answer:
30
Step-by-step explanation:
Again there are TWO sides so it would be 50% chance of getting head, or 50% of getting tail. So it would probably be 30
Answer:
"50% of the time"
Step-by-step explanation:
Because the probability is limited to only 2 sides you have a 50% chance it will land on either heads, or tails.
A circular park has a circumference of 94 ft. find d, the diameter of the garden in feet
Answer:
94 / π = 29.9211293...
Step-by-step explanation:
brainliest plz
Help asap i will give brainliest
Answer:
It will be C.
Step-by-step explanation:
Think of the fraction as a division statement. First we have x, at the top, then Y at the bottom.
Answer:
C
Step-by-step explanation:
x/y is the same as x ÷ y because the slash sign (/) is the same as the divided sign (÷)
Hope this helps =]
welp me someone this iready is for a grade.
Answer: 1920 cubic centimeter
Step-by-step explanation:
L*W*H for both and add
8*10*10=800
8*10*14=1120
800+1120=1920 cubic centimeters
Why is the equation
46 1,032
X +
55
not the equation of a line of best fit for the data set below?
55
Height (in.)
42
Arm span (in.)
41
43
55
45
52
48
49
49
49
52
53
59
60
45
44
44
45
60
57
A. The slope of the line is negative, but the data set has a positive correlation.
B The slope of the line is positive, but the data set has a negative correlation,
1.032
Answer:
not the equation of a line of best fit for the data set below? 55. Height (in.) 42. Arm span (in.) 41 43 55 45 52 48 49 49 49 52 53 59 60 45 44 44
Step-by-step explanation:
Answer:
c it is not d !!!!!!!!!!!!!
Step-by-step explanation:
can you give me brainliest
(1) Write a note on advantage of using a solar cooker?
Answer:
Adding 12 to the circle area is equal to the square area.
Or
s2 = 12 + A
Where
s = side of square
A = area of circle
So
s2 = 12 + 36
s2 = 48
Solve this for s to get the side length
a device that utilize solar energy for cooking for purpose is called solar cooker.
It is pollution free.
It helps to cook food.
The food which is cooked in solar cooker is nutrition
Step-by-step explanation:
.
The 8 students in the Environmental Club represent 25% of the students in the
seventh grade. How many students are in the seventh grade?
Answer:
32
Step-by-step explanation:
There are 32 students in the seventh grade' because if you multiply 25% by 4, you will get a 100%, which is what you are looking for. But you also have to multiply the 8 by 4, which will equal to 32,
Help please it’s for home work
URGENT! pls help and give a explanation. if you do i’ll mark brainliest !!
Answer:
i think ur right but i dont know for sure i did the math and got that
Step-by-step explanation:
Determinism each situation is likely to be normally distributed, normally distributed, skewed left, or skewed right.
a. The age at which people died in the U.S.
b. Selling prices of cars in 2019
c. The number of pets owned by students at your school.
d. The height of all adult females in Connecticut
(NOT A MULTIPLE CHOICE)
Answers
a) Skewed leftb) Skewed rightc) Normally distributed (symmetrical)d) Normally distributed (symmetrical)==============================================================
Explanations:
a) It's a very unfortunate part of life that everyone dies, and some do earlier than others. In general and on a grand scale of things, the older generations tend to die more frequently compared to the younger generations. In other words, an 90 year old man is more likely to die than say a 20 year old man. This is assuming that they both live in the same environment with other factors held constant as well. Because the older generation dies more frequently, this means we have the main cluster to the right (where the ages are older) and a long tail stretching to the left. The tail is the set of outliers of people who died at a fairly young age. Again, I'm not saying that young people don't die, but I'm saying that they don't die as much compared to older people. This tail on the left tells us we have negatively skewed data.b) Most cars are priced low so that people can afford them. So the main cluster is to the left while we have outliers to the right. The outliers to the right represent very expensive luxury cars. The outliers on the right side pull on the right tail to make it skewed to the right. We consider this positively skewed. In contrast, the one for part (a) was negatively skewed. Think of the positive and negative directions on the x axis to help figure out which direction things are being skewed in.c) Some people have a lot of pets, while others have few or none at all. In the middle is some average number where the highest peak is located. The distribution is fairly normal as with anything scattered about on average.d) Similar to part (c). There are some very short women, and some are very tall, but the majority are within some range of the average height. Doing a dot plot or a histogram of the distribution help leads to an approximately normal distribution, which is symmetric.Yes or no
Just pick one
Answer:
Yes
Step-by-step explanation:
help me plz branniest to whoever right
Answer:
vertex: (-1,25)
aos; -1
left x int: -6
right x int: 4
(not sure)
range is less than of equal to 25
1. Plot the following points on the same coordinate system.
(a) A(2,2)
(b) B(-1,2)
(c) C(-3,-1)
(d) D(2, -3)
PLEASE HELP
ASAPPPPPP
Which of the following segments is a diameter of O?A. OD
B. DB
C. АС
D. AB
Answer:
AB is the diameter,,,,,,,,,
If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation:
Helppp pls
Another one
Answer:
25 percent
Step-by-step explanation:
There is 12 spots on the chart
3 of these spots are green or 3/12
3/12 is equivalent to 1/4
1/4 of 100 in 25 percent
What is the value of n
. n=8cm.
Step-by-step explanation:
Answer:
where is the equation
Step-by-step explanation:
Can you help me please it has to be harry potter and the philosopher's stone movie
Answer:
False
I hope this helps!
help what is 383 plus 727 minus 71 plus 8181 times 2 divided by 6 rounded to the nearest tenth to the tenth power help hurry!!
Help now ____________[_
A science teacher shares 32 beakers equally between 5 students. The number of beakers that each student gets lies between what two whole numbers?
8 and 9
4 and 5
6 and 7
3 and 4
Answer:
6 and 7
Step-by-step explanation:
5*6=30 and there is no other 5 on the board and i just took that test and i got it right
please mark brainiest
Answer:
C or 6 and 7
good luck!
What are the zeros of this function?
- 10
10
- 10 -
O A. x = 0 and x = -6
OB. X = 2 and x = -6
O C. x = 0 and x = 5
O D. x = 0 and x = -5
Answer: c
Step-by-step explanation:
The zeros of the given function shown in the graph are x = 0 and x = 5. Option C is correct.
What are the zeros of equations?Zeros of an equation is defined as the value of the independent variable where the equation or function gives zero.
Here,
To calculate the zeros of a function from a graph, you need to identify the points where the graph intersects the x-axis. The x-values of these points of intersection are the zeros of the function.
Based on the graph provided, it can be concluded that the zeros of the function occur at x = 0 and x = 5, and therefore, option C is the correct answer.
Learn more about zero of a function here:
https://brainly.com/question/12431044
#SPJ7
I need this quickly Please. Create a second equation so the system has no solutions. y=3/4x-4
Answer:
y = 3/4x + b (b≠ -4)Step-by-step explanation:
The system of linear equations has no solution when the lines are parallel.The lines are parallel when they have same slopes and different y-intercepts.Given line has slope 3/4 and y-intercept -4
The other line should be:
y = 3/4x + b, where b is any number different from -4can someone give me tips for flying on an airplane? ✈️
Answer:
chew gum for your ears
bring a pillow for you neck
download a movie
bring something to do with your hands
bring a jacket
use the restoroom before the flight
bring your own snacks
get a seat near the wings of the planes its the safest
make sure you put your name on your luggage
bring headphones
bring lots of fluids after getting through security
bring a breathable mask
Step-by-step explanation: