Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Step-by-step explanation:
Let p = True proportion of people rent their residence.
Given: n= 500
People rent their residence = 260
[tex]p=\dfrac{260}{500}=0.52[/tex]
z-value for 95% confidence level = 1.96
A 95% confidence interval for the true proportion will be :
[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]
A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Two of the side lengths of a triangle are 19 cm and 29 cm. If the third side
length is also an integer, what is the largest length it could be?
Answer:
47
Step-by-step explanation:
On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?
(4, 2)
(2, 4)
(–4, –2)
(–2, –4)
In the diagram, the length of segment QV is 15 units.
Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?
4 units
11 units
14 units
15 units
HELP PLEASE!!! Math question
Answer:
(a). [tex]\frac{3}{7}[/tex]
(b). [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]
Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]
Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1
Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.
= 1 - [tex]\frac{4}{7}[/tex]
= [tex]\frac{7-4}{7}[/tex]
= [tex]\frac{3}{7}[/tex]
(b). Probability of winning the match + probability of not winning the match = 1
[tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1
Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]
= [tex]\frac{13-9}{13}[/tex]
= [tex]\frac{4}{13}[/tex]
Write an expression that is equivalent to 27e + 24.
Answer:
3 (9e + 8)
explanation:
3 x 9e = 27e
and
3 x 8 = 24
Both are multiplyed by 3 so your first number is
3 ( ?e + ?)
then the 2ed has e beside so i know thats 9
3 ( 9e + ?)
The final one is 8. 3 x 8 = 24 so there is 24 in the question so the last is 8
3 (9e + 8)
3(9e+8) is the expression that is equivalent to 27e + 24.
What is Expression?An expression is combination of variables, numbers and operators.
We need to find the equivalent fraction of 27e + 24.
For this let us find the factors of 27 and 24
Factors of 27 are 1,3,9,27
Factors of 24 are 1,2,3,4,6,8,12,24
The greatest common factor is 3.
So in the expression 27e+24 take 3 as common
3(9e+8)
Hence 3(9e+8) is the expression that is equivalent to 27e + 24.
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Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.
Answer:
2 1/3+5/6+1/6= 3 1/2
Step-by-step explanation:
Change your denominator to 6 and add then reduce if possible
Helpp me please find the angle (where the question mark is ) 10 pointsss
Answer:
#9= 100 degrees but I'm not sure about #10.
Step-by-step explanation:
We know that a triangle has a total of 180 degrees.
So we add 16, 34, and 30
16+34+30=80
Then we subtract the amount from the total degrees of a triangle.
180-80
= 100 degrees
I hope this helps:)
If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?
-Please help me
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
The weight of one ticket is approximately 1.67 × 10-4 g. Write the numerical value without scientific notation.
Answer:
0.000167 g
Step-by-step explanation:
[tex]1.67 \times {10}^{ - 4} \: g\\ \\ = 0.000167 \: g[/tex]
Identify the slope from the table
NEED HELP PLEASE thank you sb
Answer:
-4
Step-by-step explanation:
‘X’ adds by one while ‘y’ adds by -4
A manager in a call center needs to determine how many agents to schedule next week.
Based on previous data, she expects to get 7,940 calls next week. The following conditions
apply:
• On average, call center agents can handle seven calls an hour.
• The call center is open for 10 hours, 5 days a week.
Full-time agents work 40 hours per week, but are only on calls for 35 hours a week.
Part-time agents work 20 hours a week, but are only on calls 17 hours per week.
Answer:
Number of calls expected in next week by manager = 7940
Average Number of calls that call center agent will attend in an hour =7 calls
It is also given that, Call center remain open for 10 hours 5 days a week.
Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week ,Part time agents work 20 hours a week but are only on calls 17 hours per week .
⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940
⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940
Option A
⇒35×15×7+17×7×15
= 3675+1785
= 5460
Option B
⇒35 ×7×20+17×7×7
=4900 +833
= 5733
Option C
⇒35×20×7 +17×20×7
=4900+2380
=7280
Option D
⇒25 × 35×7+17×7×5
=6125 +595
=6720
Option E
⇒28×35×7+17×7×10
=6860+1190
=8050
Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.
If the height of a falling object after a certain amount of time is given by the equation , which of the following is true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.
Answer:
B
Step-by-step explanation:
Time can't go backwards
3. If Ted is making monthly payments of $77 on a loan of $4,000 for 5 years;
approximately what percent interest is he paying?
$
The percent of interest is he paying is,
⇒ R = 4.62%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.
Hence, Yearly payments to pay is,
⇒ 12 × 77
⇒ $924
Hence, We get;
⇒ Interest = PRT/ 100
⇒ 924 = 4000 × R × 5 / 100
⇒ 92400 / 20,000 = R
⇒ R = 4.62%
Thus, The percent of interest is he paying is,
⇒ R = 4.62%
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Which expression is equivalent to 6n - 24?*
8n - 10+14
3/4 (8n - 32)
-2(-3n - 12)
O 10n - 12 - (4n - 12)
Answer:
-2(-3n - 12)
Step-by-step explanation:
Paula ran 3 1/4 kilometers. Omar ran 4,200 meters. Who ran farther and by how much?
Answer:
Omar ran farther
Step-by-step explanation:
Paula ran 3250 meters and Omar ran 4200 meters. Omar ran 950 more meters than Paula
omar because 3 1/4 meters is the same as 3250 meters so then
4200>3250 so omar did more
Solve the equation below and record solution.
Example Solution: x = ______
35 = 1.5x - 10
Answer:
x=30
Step-by-step explanation:
Let's solve your equation step-by-step.
35=1.5x−10
Step 1: Flip the equation.
1.5x−10=35
Step 2: Add 10 to both sides.
1.5x−10+10=35+10
1.5x=45
Step 3: Divide both sides by 1.5.
1.5x÷1.5=45÷1.5
x=30
A car travels 30 1/5 miles in 2/3 of an hour. What is the average speed of the cat in mph?
Answer:
45.3 miles/h
let 'x' be the speed of the car. Hope this will helps:)
Step-by-step explanation:
i need help on this one
Answer:
Is g(x)
Step-by-step explanation:
We search the roots of the function on this way
(x-1)^2 (x+2) =0
(x-1)^2 =0
x-1=[tex]\sqrt{0}[/tex]
x=1 ////
(x+2)=0
x=-2 ////
So (1,0) and (-2,0) are the roots of the function (as the image)
"Nine more than three times a number is negative six"
what is the answer?
I'm sorry I have No clue
Step-by-step explanation:
lol but I honestly d0n7 kno
True or False:
If you have an odd number of negative factors your answer will be negative. *
<3
Answer:
It's true,
I'm sure about it
5⋅7⋅4=5⋅4⋅7
is that
associative property of multiplication or is it
commutative property of multiplication
Answer:
Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140
HOPE THIS HELPS TOUCH THANK FOR ME PLEASEHelp me please please
Answer:
Step-by-step explanation:
i have no idea what to do
Please Help Meeee! Its a multiple answers..
Answer:
B C E
Step-by-step explanation:
trust me... its too hard to explain
I need help can you help me
Answer:
2 : 3
Step-by-step explanation:
BRAINLIEST PLEASE
4x2
4x + 10 and 2x2 + 5x – 8.
Answer:
14x , -4+5x
I hope this helps
have a fantastic day
Need help with hw due in less than a hr!
Given the graph that is shown. What is the range of the function?
Answer:
B
Step-by-step explanation:
Range is Y and the point is -4 to 2
Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.
Answer:
61
Step-by-step explanation:
7×6 = 42
42+ 19 = 61 Sorry if I'm wrong I tried
If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?
A. u equals p over q
B. u = 1/2s
C. u equals q over p
D. u = 2s
Answer:
last answer D
i took the test
The expression that most effectively represents u's value would be:
D). u = 2s
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that,
In ΔABC, E is the midpoint in the segment AC and D is the midpoint of BC.
Now,
CE = 0.5 × AC(midpoint)
CD = 0.5 × CB (midpoint)
Thus,
CE/AC = CD/CB = ED/AB = 1/2
As ED = s and AB = u
So, u = 2s
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Pls helpppppppp......... :( :( :(
Answer:
Step-by-step explanation:
a: is not proportional
because you cant divide any of the tope numbers by the bottom numbers so u can leave the thing blanc.
b: is proportional
becuase you can divide the top and bottom by 30 so the answer is 30
hope this help :)
Answer: 30 for b
Step-by-step explanation:
