The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.
Answer:
Explained below.
Step-by-step explanation:
Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
The probability of X is, p = 0.75.
A random sample of n = 5 trucks are observed on this stretch of I-77.
The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.
(a)
Compute the mean as follows:
[tex]\mu=n\times p=5\times 0.75=3.75[/tex]
The mean of this probability distribution is 3.75.
(b)
The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
(c)
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]
Thus, the standard deviation of this probability distribution is 0.97.
(d)
Compute the probability that exactly 3 of the observed trucks are speeding as follows:
[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]
Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.
(e)
Compute the probability that less than 3 of the observed trucks are speeding as follows:
[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]
Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.
There were 60 children at the birthday. If 1/4 of them were boys how many were
boys?
Answer:
15
Step-by-step explanation:
60 x 1/4 = 60/4 = 15
help!!!!!!!!!!!!!!!!
Answer:
2600%
Step-by-step explanation:
25 POINTS what is the domain of the quadratic function graphed below?
a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)
Answer:
A or D i tink
Step-by-step explanation:
becuz i tink b and c is not to me
Answer: (a) all real numbers
Step-by-step explanation:
The arrows mean that the line continues for infinity, so the x continues to change for infinity.
Please help.
Express the following fraction in simplest form, only using positive exponents
Answer:
j^6 / 18s^23
Step-by-step explanation:
You first by flipping the fraction to get rid of the negative exponents:
(j^6)/(6s^3(3s^5)^4) =
When there are exponents that are being exponentiated together, multiply them:
(j^6) / (6s^3)(3s^20) =
When there are exponents that are being multiplied, add them:
(j^6) / (18s^23)
what is the equation in slope intercept form 6x-4y=12 ?
Answer:
y=6/4x-3
Step-by-step explanation:
First, you isolate the y, by subtracting 6x from each side. Then, you divide by -4 on both sides to isolate it to an individual y.
Answer:
Slope = 6/4 or 1 1/2
Step-by-step explanation:
Step 1:
6x - 4y = 12 Equation
Step 2:
y = mx + b Slope Intercept Form
Step 3:
- 4y = - 6x + 12 Subtract 6x on both sides
Step 4:
y = 6/4x + 12 Divide 4 on both sides
Answer:
Slope = 6/4 or 1 1/2
Hope This Helps :)
Please help answering these questions 10 points help please (look at the picture)
Answer:
46. -22
47. -22
48. 8
Answer:
46) -22
47) -22
48) 8
49) -8
50) -4
51) 4
Step-by-step explanation:
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 How much did Hans pay for his trip?
Given :
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile.
In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 .....1)
To Find :
How much did Hans pay for his trip.
Solution :
x = 450 miles.
Putting value of x in equation 1 we get :
y = $(0.17×450 + 15.89)
y = $(76.5+15.89)
y = $92.39
Therefore, Hans will pay $92.39 for his trip.
Hence, this is the required solution.
find the surface area
Answer:
The surface area of the box is 496² m.
(11*8)+(11*8)+(11*8)+(11*8)+(8*9)+(8*9)=496
Determine if √4 is rational or irrational and give a reason for your answer.
Answer:
rational
Step-by-step explanation:
Because if you take the square root of 4 you get 2
if it was irrational then it would be a decimal or fraction
(plz mark braillist)
At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end of the baking session, there was 0.98 kilogram
of flour in the bag. What is the percent of decrease in the amount of flour? Round the percent to the nearest tenth if necessary?
The answer is not 32 or 43.4.
Answer:
56.6%
Step-by-step explanation:
To calculate percent decrease, you first subtract the original number with the final number.
2.26 - 0.98 = 1.28
Then, you divide your answer by the original number.
1.28/2.26 = 0.56637168141
Finally, you multiply your answer by 100 and round as necessary.
0.56637168141 x 100 = 56.637168141
Heeeeeeeeelp pls I need help
Answer:
I am pretty sure that is is 64
Step-by-step explanation:
but i used a calculator soooo
Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)
Answer:
Jody needs to lose the third round by 6 points to win the game.
Step-by-step explanation:
The rule of the game is the person who scores closest to zero points after three rounds win.
Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.
So, total points for Robyn = 5-8+4=1
So, the magnitude of the closeness of Robyn's score from zero
=|1-0|=1
Jody scored 10 points in the first round and lost 4 points in the second round.
Let Jody score x point in the third round.
Total points for Jody= 10-4+x=6+x
So, the magnitude of the closeness of Jody's score from zero
=|6+x-0|=|6+x|
The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e
|6+x|<1
Case 1: If [tex]x\geq -6[/tex],
6+x<1
[tex]\Rightarrow x<-5[/tex], which is not possible for this case.
Case 2: If [tex]x\leq -6[/tex],
-(6+x)<1
[tex]\Rightarrow x+6>1[/tex]
[tex]\Rightarrow x>-5[/tex]
For this case [tex]x= -6[/tex] is the only possibility.
So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.
Problem ID: PRA3VP4 The veterinarian weighed Oliver's new puppy, Boaz, on a defective scale. He weighed 36 pounds. However, Boaz weighs exactly 34.5 pounds. What is the percent of error in measurement of the defective scale to the nearest tenth? Do not include units, %, in your answer. Modified
Answer: 4.1%
Step-by-step explanation:
Given data:
Measure value ( actual) = 36 pounds
Expected value = 34.5 pounds
Solution:
Percentage error = Actual value - expected value / expected value * 100
= 36 - 34.6 / 34.6 * 100
= 1.4/34.6 * 100
= 0.041 * 100
= 4.1
The percentage error is 4.1%
What is the slope of the line that passes through the two points below?
A(-2,-9) B(2,4)
1/2a + 1/3a =5 please help :)
Answer:
a=6
Step-by-step explanation:
1/2a+1/3a=5
5/6a=5
a=6
hope this helps
brainliest?
Answer:
a=6
Step-by-step explanation:
1/2a + 1/3a =5
Multiply each side by 6 to clear the fractions
6(1/2a + 1/3a) =5*6
3a +2a = 30
Combine like terms
5a = 30
Divide by 5
5a/5 = 30/5
a = 6
PLEASE ANSWER REALLY EASY
Answer:
I will answer here because I am glitching.
Step-by-step explanation:
1. 1.36 < [tex]\sqrt{2}[/tex] < 2.45
2. 1.65 < [tex]\sqrt{3}[/tex] < 2.34
3. 1.65 < [tex]\sqrt{4}[/tex] < 2.34
4. 2.14 < [tex]\sqrt{5}[/tex] < 3.56
5. 2.41 < [tex]\sqrt{6}[/tex] < 3.56
I believe this is correct but check if I am wrong.
Reflection of point (1.2) over X-Axis is
Answer:
1,-2
Step-by-step explanation:
reflection over x axis the values of y will change
Help!
Joe went to a baseball game. The game started at 10:47 AM, and it was 3 hours 31 minutes long. When did the game end?
Answer:
2:18 PM
Step-by-step explanation:
This is the answer because:
1) First, count 3 hours from 10:47 AM. 10:47 - 11:47, 11:47 - 12:47, 12:47 - 1:47. We will end up with 1:47 PM.
2) Next, just add 31 minutes. In order to get 2:00 PM, we have to add 13 minutes, therefore, subtract 13 from 31, this is 18.
3) Finally, add 18 to 2:00, which is just 2:18 PM.
Hope this helps! :D
Answer:
2:18 PM
Step-by-step explanation:
You would start at 10:47 AM, then 3 hours and 31 minutes would pass by. The way I solved this was but adding the hours (10 + 3) and minutes (47 + 31) separatley. You would end up with 13 and 78. You would want to subtract 78 by 60 because 78 is higher than an hour, after that you would end up with 18 and 13:00 is 1:00 PM/AM and you just subtracted 60 from 78 so you would add 1 more hour to 1:00 PM so you would get 2:00 PM. After that, you would end up with 2:18 PM.
Select the correct answer.
The table represents a proportional relationship.
ху
112
BE
224
336
Determine if 0.27322370013414... is rational or irrational and give a reason for your answer.
Answer:
It's Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
It is found that 0.27322370013414... is rational number.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Since, rational number is any integer, fraction, terminating decimal, or repeating decimal.
Thus, 0.27322370013414... is rational number.
Learn more about a number pattern:
brainly.com/question/14471389
#SPJ2
the quotient of n and 3 is less than 5
I have no idea what to do here.
Well hello, and welcome I guess? You can ask homework questions here and they usually get answered within 10 seconds to 6 hours.
n^6
——
n^3
(n^6 divided by n^3)
Answer:
n³
Step-by-step explanation:
Exponent Division Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]
Step 1: Define
n⁶/n³
Step 2: Use Exponent Rule
n⁶/n³ = n⁶⁻³ = n³
Answer:
n^3
Step-by-step explanation:
Apply the exponent rule:
x^a
----- = x ^ a-b
x^b
so basically, you're saying n ^ 6-3, which is n^3
Fahrenheit 451
Write a paragraph on the imagery' from this text with evidence, as well as a second paragraph for the mood.
Answer:
mark above answer BRILLIANT
can yall help me plz
Answer:
lol girl i have this one too and im trying to do cuz no one cam to help me so im going to try and then i will see if i help you
Step-by-step explanation:
Answer:
just add thos and then put then to geter and you get 3x+1^2
Step-by-step explanation:
A truck used 6.3 gallons of gasoline to travel 105 miles. How many gallons of gasoline would it need to travel 250 miles? A 15 gallons B 4,166.7 gallons С 150 gallons D 16.7 gallons
Answer:
a
Step-by-step explanation:
got it right in my test
In this task, you'll write three diary entries. As you write, please keep in mind the elements of diary
writing. You will probably have to do some research into some of the diary entry topics in order to
fully understand them.
First, choose any three topics from the six listed below:
Think about your biggest pet peeve and write an entry explaining what that pet peeve is and
why it bothers you.
• Who do you believe is the most fascinating famous person? The individual you choose can be
living or dead. Write an entry explaining who this person is and why you think they are
fascinating
The author Mark Twain once said, "Humor is tragedy plus time." Keeping in mind what you
know about the words humor and trageny, write an entry explaining what this quote may
mean. In your entry, use an example from your life to support your explanation.
• Has there ever been a time in your life when you felt invisible? Think of this time and write an
entry explaining what happened to make you feel this way and how you dealt with the
feeling
• Many people believe that it is important to find ways to pay it forward in their daily lives.
Think about what "pay it forward" means. Write an entry explaining what you believe this
expression means and provide an example of this practice that you have witnessed.
• Think about a time in your life when you had to deal with adversity. Write an entry explaining
the situation. In the entry, explain how the situation made you feel and how you overcame
those feelings
WRITE THE ESSAY DOWN PLZZZZ ILL
Answer:
Dear diary,
I know I haven't written in you for awhile, but I've been busy with school. I had a really cool teacher this year that helped me through US History. Okay, it took a bit of energy and yeah maybe it wasn't personally fun fighting with myself to remember answers, but he had a game that helped me practice and beat the tests and quizes. At the time I was in class he waited until everyone was done with notes and gave us a free 100% for every chapter notes we finished. He helped everyone and got them finished in time.
I hope I have this teacher again next year.
Dear diary,
I have many pet peeves...
- People who can’t FREAKIN cover themselves when they sneeze or cough!
- People who interrupt when I am speaking
- Slow Walkers
- Rude/Slow drivers
- Know-it-all’s
- Someone leaving the water running and same goes for lights
- People who talk while their mouth is full
And that’s all I could think of..and these bother me because they just do. Like it’s rude, unhygienic, and not environmentally friendly.
Step-by-step explanation:
Answer:
I hope this helps!! also don't forget to paraphase this!!
Step-by-step explanation:
Many people believe that it is important to find ways to pay it forward in their daily lives. Think about what “pay it forward” means. Write an entry explaining what you believe this expression means and provide an example of this practice that you have witnessed.
I feel the meaning of “pay it forward” means responding to kindness to yourself with kindness to someone else.
Dear diary, There was one time one of these little kids were all alone and were crying and I decided that I would give the kid company. I had asked her what was wrong and she had said her friends were ignoring her and at that time that was happening to me too! So I decided we would go tell the yard duty. Once we had told the yard duty, the yard duty had said show me where they are. Once we showed her they talked and the little girl gave me a big bear hug!
Years passed and I was all alone and one of my friends (Connor) had seen me and asked if I was ok. I said I guess I’m just bored and don’t want to play what my friends were playing. He said come play with me! We started to play kickball and I absolutely enjoyed it until his brother came to play. I didn't like him playing because he always made fun of me when I couldn’t kick it. I eventually didn’t want to play anymore because of Connor’s brother so I went to sit back down by the tree I was sitting at before. Conner didn’t like the way his brother was treating me.
After I had told him, he asked me what was wrong. I told him I didn't like the way his brother Anthony was treating me . He said he would make sure his brother wouldn’t be mean anymore. I came back to play kickball again and Anthony started calling me a crybaby because I left. I was about to burst into tears until Connor told his brother to knock it off or he would hit him in the head with a ball! I laughed, Connor laughed, and even Anthony’s friends laughed!!
In conclusion, this story is an example of “pay it forward”. There are very many examples that everyone can relate to. This story explains what paying it forward means because kids could help bullying and know that they helped a kid extremely and could help the child that is getting bullied to help someone else.
Help me or I’ll kith you
Answer:
The answer is (-2,10)
whats the answer to 4.2v-5-6.5v=
Answer:
2.3
v
−
5
Step-by-step explanation: your welcome
Answer:
v=-2.1739
Step-by-step explanation:
-2.3v-5=0 so -2.3v=5 divide by -2.3 on both sides and get -2.1739