*
87-1 = 25+2 simplifies to :
Answer:
175 /2
Step-by-step explanation:
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
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
Bu soruya bi bakarmsiniz
Answer:
x=9
y=20
Step-by-step explanation:
6/8=3/4
x/12=9/12=3/4
15/y=15/20=3/4
3. P343. 13. A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who has changed jobs within the past years. (a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? (b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. (c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.
Answer:
a) A sample of 385 must be taken.
b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
c) A sample of 246 is needed.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Absence of preliminary data:
This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?
A sample of n must be taken.
n is found when [tex]M = 0.05[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96*0.5[/tex]
Dividing both sides by 0.05
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (19.6)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up,
A sample of 385 must be taken.
Question b:
In a sample of 100 workers, 20 of them had changed jobs within the past year.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]
The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
Question c:
Same procedure as question a, just with [tex]\pi = 0.2[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]
[tex]n = 245.8[/tex]
Rounding up
A sample of 246 is needed.
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:
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
Brainliest for correct answer
Answer:
4
Step-by-step explanation:
The pre-image is the starting coordinates and it then gets larger. when you multiply four by 3 you get 12 and when you multiply four by -4 you get 16. So the pre-image dilated by 4.
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:
Which of the following expressions is/are equivalent to 16x + 8-2?
A. 22x
B. 24x2
C. 16x+ 6
D. 2(8x + 3)
E. 2(8x 8 - 2)
F. 4(4x + 2) - 2
What’s the correct answer for this question?
ANSWER
l
Or
Or
EXPLANATION
The given line has slope,
and
We can find the equation in the point slope form, which is given by,
We substitute the point and slope to get,
We can also simplify further to get,
We make y the subject to get,
This is called the slope intercept form.
We could also write in standard form to get
Or
PLEASE HELP
Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2) is dilated to create polygon ABCD with vertices at A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4). Determine the scale factor used to create the image
A. 3
B. 2
C. 1/2
D. 1/3
The scale factor of the image after the dilation is k = 2
Given data ,
Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2)
Now , the dilated polygon is represented as A'B'C'D'
where the coordinates are A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4).
Now , we can compare the corresponding side lengths of the two polygons to determine the scale factor:
Scale factor = (corresponding side length of dilated polygon) / (corresponding side length of original polygon)
So, A'/A = 2 / 1
A' = 2A
So, the scale factor is k = 2
Hence , the dilation is solved.
To learn more about dilation click :
https://brainly.com/question/13176891
#SPJ1
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answer:
65
Step-by-step explanation:
Hi,
Triangles will always add up to 180 degrees. So, 62 + 53 = 115. Subtract it from 180, 180 - 115, and you get 65.
I hope this helps :)
Answer:
65
Step-by-step explanation:
The sum of the three angles of any triangle is equal to 180 degrees
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.
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.
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.
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
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]
Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please! make sure to remember you have to simplify! not solve!
I need help with the answer.
On a school field trip, there will be one adult for every 12 students. Which equation could be used to find “a”, the number of adults, if “s”, the number of students, is unknown?
a) a= 12s
b) a= 12/s
c) a= s/12
d) s + 12
please please please help!
Answer:
a) a = 12s
Step-by-step explaination:
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
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.
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]
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.
Helpppppppppppppppppppp
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
a change in shape or object by turning it
I need help with this question-
36. Cone A is similar to Cone B with a scale factor 3:5. If the surface area of Cone B is 725 ft^2, find the surface area of Cone A.
Answer:
uhh 7 maybe?
Step-by-step explanation:
i dont know
Simplify this please for me 2x+x+3y*3y
HELP PLEASE!!! I need to name each angle
Answer:
XWZ and ZWX are the only ways to label this angle
Step-by-step explanation:
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