The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.
Answer:
1. 0.1635
2. 0.0026
Step-by-step explanation:
The computation of the probability in the following cases are as follows:
1.
Given that
Mean = 25 minutes
ANd, the standard deviation is 6.1 minutes
So here the z score would be
= (31 - 25) ÷(6.1)
= 0.98
Now the probability is
= P(Z>0.98)
= 0.1635
2. the z score would be
= (8 - 25) ÷(6.1)
= -2.79
Now the probability is
= P(Z<-2.79)
= 0.0026
Which expression shows the factors of 2y2 − 2y − 4?
A. 2(y − 2)(y − 1)
B. 2(y − 2)(y + 1)
C. 2(y − 1)(y − 2)
D. 2(y − 1)(y + 2)
Answer:
2(y-2)(y+1)
Step-by-step explanation:
Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = cos x, [, 3]
If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that
f '(c) = 0.
(Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
c =
Answer:
pick faster
Step-by-step explanation:
Hikers spent the following amounts of time (in minutes) to complete a
nature hike: 48, 46, 52, 57, 58, 52, 61, 56.
Suppose another hiker takes 92 minutes to complete the hike.
How does the median and mean change when the new hiker is
factored in to the data?
Answer:
the mean is 53.75 and median is 54
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
a change in shape or object by turning it
2.1.1 Taxable income.
2.1.2 Tax rebates.
2.1.3 Tax threshold.
Answer:
Taxable income:
Taxable income includes wages, salaries, bonuses, and tips, as well as investment income and various types of unearned income. ... Taxable income also includes earnings generated from appreciated assets that have been sold during the year and from dividends and interest income.
Tax rebates:
A tax rebate (or tax refund) is money you reclaim from HMRC if you've paid too much tax. Travel tax refunds are a great example. If you're paying your own way to get to temporary workplaces, you can claim back some tax on your travel expenses.
Tax threshold:
The tax threshold is the amount of income below which you do not pay any income tax. The filing threshold is the income amount below which you do not have to file a tax return to Sars.
Help plsss i really need this
Answer:
3) Not equivalent
4) Equivalent x 2
5) Equivalent x 2
Make sure to multiply or reduce to the lowest terms to see if they are the same or not the same.
What does the 6 represent in 2/6
Answer:
the denominator
Step-by-step explanation:
the top is numerator ans bottom is denominator
The number 6 is the denominator of the given fraction.
What is a fraction?"A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator.
The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole."
What is the denominator of a fraction?"A denominator is the part of a fraction that comes below the fractional bar. The denominator shows the total amount of parts that make up a whole. A fraction can be identified by a horizontal bar between two numbers. This bar or symbol is known as the fractional bar. The number on the top is known as the numerator, and the number below the fractional bar is known as the denominator."
For any fraction [tex]\frac{a}{b}[/tex], 'a' is the numerator and 'b' is the denominator.
The given fraction is [tex]\frac{2}{6}[/tex].
Here, the number 6 is the denominator of the given fraction.
Learn more about a denominator here: https://brainly.com/question/7067665
#SPJ2
Simplify this please for me 2x+x+3y*3y
Helpppppppppppppppppppp
HELP FAST! TRUE OR FALSE , RIGHT ANSWERS ONLY
Answer:
I think it could be true, but maybe its false
Step-by-step explanation:
change 7 3/8 from a mixed. number to to an improper fraction
Answer:
59/8
Step-by-step explanation:
Multiply the whole number by the denominator.
[tex]7 * 8 = 56[/tex]
Add the numerator to the product.
[tex]56 + 3 = 59[/tex]
Write the sum over the denominator.
[tex]\boxed{\frac{59}{8}}[/tex]
Hope this helps.
LOOK AT THE PHOTO PLEASE
Answer:
The answer to the question provided is 11.
Step-by-step explanation:
[tex] \: \: \: \: \: 5x + 9 = 6x - 2 \\ \frac{ - 5x \: = - 5x }{9 = 1x - 2} \\ \frac{ + 2 \: \: \: \: = + 2}{ \frac{11}{1} = \frac{1x}{1} } \\ 11 = x[/tex]
[I apologize if the answer to the question provided is inaccurate]
HELP PLEASE!!! I need to name each angle
Answer:
XWZ and ZWX are the only ways to label this angle
Step-by-step explanation:
If 28 less than five times a certain number is 232 what is the number?
Answer:
Stepby-step explanation:
The certain number = n
232 = 5n-28
232+ 28 = 5n -28 + 28
260 = 5n
260/5 = 5n/5
52 = n
write the equation of the line with x-intercept 3 and passing through the point (5,4)
Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.
Answer:
child's ticket = 4.75 adult ticket=10.75.
Step-by-step explanation:
The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.
f(x) = x - 4 + 1
Describe the transformation
Answer:
here i gotchu mate:)
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Shifted down
3
units
The manager of a restaurant recorded how many people were in different groups of
customers and how much those groups spent on food and beverages. The scatterplot below
shows the data she recorded.
Answer:
$135
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
hows it goin my boi
Mrs.Hilt’s yard is 48 feet long and 39 feet wide . What is the area of Mrs.Hilt’s back yard?
Answer:
1872
Step-by-step explanation
HURRRY I DONT KNOW HOW PLZ SHOW WORK
Answer:
you need a permission
Step-by-step explanation:
the owner of that page needs to give you permission to enter that page.
Problem is in picture
Answer:
< ABC+<QRS=180
m<QRS=180-140=40°
Answer:
Solution given:
<ABC+<QRS=180° {supplementary]
m<QRS=180°-140°=40° is your answer
how do you put 72.3 and 39.1 in Commutative Property
Answer:
70 + 2 + 0.3 + (-30) + (-9) + (-0.1) = 70 + (-30) + 2 + (-9) + 0.3 + (-0.1)
Step-by-step explanation:
i dont have an explanation but that is the answer i can confirm because i did it and got it wrong but then it showed the right answer hope it helps you
A bag contains 7 red marbles, 8 blue marbles and green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
Answer:
For this problem you will be multiplying 3 probabilities together: P(#1 is blue)*P(#2 is blue)*P(#3 is blue). For the first probability, we just need to divide the number of blue marbles by the total number of marbles which would be 8/18. For the 2nd probability, we need to remember that we have already removed 1 blue marble so that the number of blue marbles remaining is now 7 and the total number of marbles is now 17 to give us 7/17. We would repeat this process to get the third probability and then multiply all the probabilities together.
The law of large numbers tells us what happens in the long run. Like many games of chance, the numbers racket has outcomes so variable - one three-digit number wins $600 and all others win nothing - that gamblers never reach the long run. Even after many bets, their average winnings may not be close to the mean. For the numbers racket, the mean payout for single bets is $0.60 (60 cents) and the standard deviation of payouts is about $18.96. If Joe plays 350 days a year for 40 years, he makes 14,000 bets.
Required:
a. What is the mean of the average payout x that Joe receives from his 14,000 bets?
b. What is the standard deviation of the average payout x that Joe receives from his 14,000 bets?
c. What is the approximate probability that Joe's average payout per bet is between $0.50 and $0.70?
Answer: (a) The mean and standard deviation of the average payout that Joe receives from his 14,000 bets are $0.60 and $0.1602 respectively.
(b) The probability that Joe's average payout per bet is between $0.50 and $0.70 is 0.4647.
Step-by-step explanation:
Let X = average payout of a bet.
The mean of the random variable X is, μ = $0.60.
The standard deviation of the random variable X is, σ = $18.96.
The number of total bets made is, n = 14000.
Since n = 14000 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample mean.
Thus, the mean and standard deviation of the average payout that Joe receives from his 14,000 bets are $0.60 and $0.1602 respectively.
Compute the probability that Joe's average payout per bet is between $0.50 and $0.70 as follows:
=P (-0.62 < Z < 0.62)
= P (Z < 0.62) - P(Z < -0.62)
= P (Z < 0.62) - [1-P (Z < 0.62)
= 2P (Z < 0.62) - 1
= (2 x 0.73237) - 1
= 0.46474
≈ 0.4647
Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please! make sure to remember you have to simplify! not solve!
Amanda had five and sixty seven hundredths pounds of peanuts in her pantry how is this number written in expanded notation
A(5 × 100) + (6 ×10 )+ (7 ×1 )
B (5 ×1) + (6×0.01)+(7×0.1)
c (5×1)+(6×0.1)+(7×0.01)
D (5×10)+(6×1)+(7×1)
9514 1404 393
Answer:
C (5×1)+(6×0.1)+(7×0.01)
Step-by-step explanation:
The number being expanded is ...
5.67
This is written in expanded notation as a sum that totals 5.67. The only sum with that total is answer choice C.
__
The offered sum choices are ...
A 567
B 5.76
C 5.67
D 63
10n-5(2n-5) what’s the answer
Answer:
25
Step-by-step explanation:
10n−5(2n−5)
Distribute:
=10n+(−5)(2n)+(−5)(−5)
=10n+−10n+25
Combine Like Terms:
=10n+−10n+25
=(10n+−10n)+(25)
=25
plz mark me as brainliest.
Answer: 25
Step-by-step explanation:
Given
10n-5(2n-5)
Distributive property
=10n-(5×2n-5×5)
Simplify
=10n-(10n-25)
Take off parenthesis (REMEMBER to change signs whenever it is "-" outside)
=10n-10n+25
=0+25
=25
Hope this helps!! :)
Please let me know if you have any questions
for brainliest!!! please help
Answer:
42º
Step-by-step explanation:
90-48=42
Answer:
[tex]42^{o}[/tex]
Step-by-step explanation:
The square angle indicates it is a right angle, which is [tex]90^{o}[/tex]
[tex]90^{o}[/tex] - [tex]48^{o}[/tex] = [tex]42^{o}[/tex]
1. Find the slope from the following graph:
ол
5
m = 1/3
m = 3
m = -3
m=-1/3
Answer:
amen
Step-by-step explanation:
amen you have the blood of jesus