Answer:
They need to survey 4145 residents.
Step-by-step explanation:
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?
This is n for which [tex]M = 0.02[/tex]. As we have no estimate for the proportion, we use [tex]\pi = 0.5[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.02})^2[/tex]
[tex]n = 4144.1[/tex]
Rounding up:
They need to survey 4145 residents.
What is the area of a sector when 0=90° and r= 8/3?
Answer:
16π/9
Step-by-step explanation:
the area of sector= ¼×π.r²
= ¼× π× (8/3)²
= ¼×64/9×π
= 16π/9
Answer:
Answer:
16π/9
Step-by-step explanation:
the area of sector= ¼×π.r²
= ¼× π× (8/3)²
= ¼×64/9×π
= 16π/9
Step-by-step explanation:
the average score on mid term examination of 25 students was 78.8 out 100
after the mid term exam, however, a student whose score was 41 out of 100 dropped the course. what is the average (mean) score amount of the 24 students?
please help meeeeeeeee
pt 3
Answer:
1st option
Step-by-step explanation:
Given the zero product
(x - 3)(x + 5) = 0 , then
x - 3 = 0 ; x + 5 = 0
You and your family are planning a roadtrip. You determine that the distance you need to drive is 660 miles and that you can average 60 miles per hour for the entire trip. How many hours will your trip take?
Answer:
11 hours
Step-by-step explanation:
Find how many hours the trip will take by dividing the number of miles by the rate in miles per hour:
660/60
= 11
So, the trip will take 11 hours
HELP QUICK! WILL GIVE BRAINLIEST ANSWER!!
Answer:
x = 22 degree
Step-by-step explanation:
40 + 5x + 30 = 180 degree (being linear pair)
5x + 70 = 180
5x = 180 - 70
x = 110/5
x = 22 degree
US adults consume an average of 3,400 mg of sodium each day. We wanted to find out if a 5 minute health video would help people control their salt intake. After watching the video, the 36 participants in our study had a mean sodium intake of 3,200 mg with a standard deviation of 600 mg. What type of statistical test should we run to find out if there was a difference between our group and the general population
Answer:
a) Z Test(n>30)
b) [tex]t=2.028[/tex]
Step-by-step explanation:
Average [tex]A=3400[/tex]
Mean [tex]\=x=3200[/tex]
Sample size [tex]n=36[/tex]
Standard deviation [tex]\sigma=600mg[/tex]
Generally using the Z Test(n>30)
Generally the equation for Standard Error S.E is mathematically given by
[tex]S.E=\frac{600}{\sqrt{36}}[/tex]}
[tex]S.E=100[/tex]
Generally the equation for Z test is mathematically given by
[tex]Z=\frac{\=x-A}{\sigma\sqrt{n}}[/tex]
[tex]Z=\frac{3200-3400}{600\sqrt{36}}[/tex]
[tex]Z=-2[/tex]
From table
[tex]T critical= (Z,df)[/tex]
Where
[tex]df=n-1[/tex]
[tex]df=35[/tex]
Therefore
[tex]t=2.028[/tex]
The data set below provides the monthly rent (in dollars) paid by 5 tenants. 879 , 920 , 940 , 950 , 990 Suppose the rent for one of the tenants changes from $ 940 to $ 1115 . What is the mean before the rent changes? What is the mean after the rent changes?
Answer:
Mean before the rent changes = $935.8
Mean after the rent changes = $970.8
Step-by-step explanation:
Mean = sum of all data values / number of data values in a given data set
✔️Data set consisting of the rents of 5 tenants: 879 , 920 , 940 , 950 , 990
Mean before the rent changes = (879 + 920 + 940 + 950 + 990)/5 = 4,679/5 = 935.8
Mean before the rent changes = $935.8
✔️If one of the tenants rent changes from $940 to $1,115, the new data set would be:
879 , 920 , 1,115 , 950 , 990
Mean after the rent changes = (879 + 920 + 1,115 + 950 + 990)/5 = 4,854/5 = 970.8
Mean after the rent changes = $970.8
Kayla drives 15 miles in 20 minutes. If she drove one hour in total at the same rat how far did she go? Before you try that problem, answer the question below. How many minutes did Kayla drive in total? ] try
how far did she go in minutes???
Answer:
Kayla drove 45miles
Answer: She went 3/4 miles in a minute and 45 miles in an hour
Step-by-step explanation:
15 miles in 20 minutes so 45 miles in 1 hour or 60 minutes
Since 45 miles in 60 minutes, 3/4 miles in a minute
(a)A train completed a journey of 850 kilometres with an average speed of 80 km/hr.
Calculate, giving exact answers, the time taken for this journey in
(1)
hours,
hours, minutes and seconds.
(b)Another train took 10 hours 48 minutes to complete the same 850 km journey.
0 It departed at 19 20.
At what time, on the next day, did thsi train complete the journey?
Calculate the average speed, in kilometres per hour, for the journey.
drintinn
Answer:
a. 850/85 = 10.625 hr or 10 hr 37 min 30 sec
b. 6:08 AM
C. Average time is (10.625 + 10.8)/2 = 10.7125
or 10 hour 42 min 45 sec
Solve the equation by using the quadratic formula.
3 x squared minus 1 = 7 x
Answer:
b. [tex]\frac{7+\sqrt{61} }{6} ,\frac{7-\sqrt{61} }{6}[/tex]
Step-by-step explanation:
[tex]3x^{2} -1=7x[/tex]
Quadratic equations are suppose to be written as: [tex]ax^2+bx+c=0[/tex]
so the new quadratic equation for this problem will be: [tex]3x^{2} -1-7x=0[/tex]
Now rearrange the terms: [tex]3x^{2} -7x-1=0[/tex]
Then use the Quadratic Formula to Solve for the Quadratic Equation
Quadratic Formula = [tex]x=\frac{-b±}{} \frac{\sqrt{b^2-4ac} }{2a}[/tex]
Note: Ignore the A in the quadratic formula
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
[tex]3x^{2} -7x-1=0[/tex]
a = 3
b = -7
c = -1
[tex]x=-(-7)±\frac{\sqrt{(-7)^2-4(3)(-1)} }{2(3)}[/tex]
Evaluate The Exponent
[tex]x=\frac{7±\sqrt{(49)-4(3)(-1)} }{2(3)}[/tex]
Multiply The Numbers
[tex]x=\frac{7±\sqrt{49+12} }{2(3)}[/tex]
Add The Numbers
[tex]x=\frac{7±\sqrt{61} }{2(3)}[/tex]
Multiply The Numbers
[tex]x=\frac{7±\sqrt{61} }{6}[/tex]
round off 0.38569 to the nearest hundredths.
Hi.
The closest rounding of 0,38569 is 0,39
Have a nice day !
C=2(y-k) solve for y
Answer:
[tex] \blue{y = \dfrac{C + 2k}{2}} [/tex]
Step-by-step explanation:
[tex] C = 2(y - k) [/tex]
[tex] C = 2y - 2k [/tex]
[tex] C + 2k = 2y [/tex]
[tex] \dfrac{C + 2k}{2} = y [/tex]
[tex] y = \dfrac{C + 2k}{2} [/tex]
Which type of stored energy is released when something burns?
O A. Chemical energy
O B. Nuclear energy
O c. Sound energy
O D. Electrical energy
Answer:
CHEMICAL ENERGYStep-by-step explanation:
HOPE THIS ANSWER WAS HELPFUL
MARK AS BRAINLIST PLEASE
IF THIS ANSWER WAS HELP TO YOU
THANKYOU!!
Answer:
Chemical energy
Step-by-step explanation:
did the quiz <3
PLS HELP ! THANK YOU
Will mark Brainliest
Answer:
I think. . . sphere? SO SORRY IF IM WRONG!!
Step-by-step explanation:
Researchers believe that 24.5% of the adults in the United States are obese. A Gallup poll examined the rate of obesity in America with a survey 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. Is this enough evidence to state that more than 24.5% of all adults in the U.S. are obese
Answer:
The p-value of the test is 0 < 0.05(standard significance level), which means that this is enough evidence to state that more than 24.5% of all adults in the U.S. are obese
Step-by-step explanation:
Researchers believe that 24.5% of the adults in the United States are obese. Test if there is enough evidence to state that more than 24.5% of all adults in the U.S. are obese.
At the null hypothesis, we test if the proportion is of 24.5% or less, that is:
[tex]H_0: p \leq 0.245[/tex]
At the alternative hypothesis, we test if this proportion is greater than 24.5%, that is:
[tex]H_1: p > 0.245[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.245 is tested at the null hypothesis:
This means that [tex]\mu = 0.245, \sigma = \sqrt{0.245*0.755}[/tex]
Survey 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese.
This means that [tex]n = 86664, X = \frac{23053}{86664} = 0.266[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.266 - 0.245}{\frac{\sqrt{0.245*0.755}}{\sqrt{86664}}}[/tex]
[tex]z = 14.37[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion of 0.266 or higher, which is 1 subtracted by the p-value of z = 14.37.
The p-value of z = 14.37 is 1.
1 - 1 = 0
The p-value of the test is 0 < 0.05(standard significance level), which means that this is enough evidence to state that more than 24.5% of all adults in the U.S. are obese
I need help with this.
9514 1404 393
Answer:
$400
Step-by-step explanation:
The word "per" in math often means "divided by". To find price per square foot, find price divided by square feet.
$700,000/(1750 ft²) = $400 /ft²
The price per square foot of House 4 was $400.
the mathematical model y= 2/x is an example of what variation? Joint variation, inverse variation, indirect variation, linear variation, or direct variation?
Answer:
inverse variation
Step-by-step explanation:
Thiis is the model for inverse variation. As x increases, y decreases, and vice versa.
Typical example:; y = 5/x
In a sale, Ali buys a television for $195.80.
The original price was $220.
Calculate the percentage reduction on the original price.
11%
Hope this helps! :)
______________
Answer:
[tex] \frac{195.80}{220} \times 100 \% \\ = 0.89\%[/tex]
Evaluate the function at the given values of x. Round to 4 decimal places, if necessary. =fx7x
Step-by-step explanation:
what are the given values of x ?
there is nothing visible.
and what is the function itself ? f(x) = 7x ?
it is not clear.
In the number 1326308 is between which two numbers in a million?
Answer:
1326308 is in between 1326307 and 1326309
PLEASE HELP WILL MARK BRAINLIEST
Answer:
8 feet
Step-by-step explanation:
.................... ............ . ...
Answer:
8 ft
Step-by-step explanation:
Since 2 angles are given as congruent, the opposite sides are congruent.
The opposite sides of the congruent angles are 8 ft and L, so L = 8 ft.
If 5^3b-1 = 5^b-3, what is the value of b?
-2
-1
1
2
Answer:
3b-1 = b-3
2b = 4
b = 2
Step-by-step explanation:
draw the graph of y = 3 - 1/2x
Answer:
Hope this helps you.
Can you help me on this?
Answer:
ez 1 + 1 = 1 is the correct answer
Siti had $3249. After donating $1387 to charity, she had $237 less than Hazid. How much money did Hazid have?
Answer:
the answer is 2099
Step-by-step explanation:
after donating 1387 the money teft with her is 1862 adding to it 237 so the money with hair will be 2099
A 300-lb gorilla climbs a tree to a height of 30 ft. Find the work done if the gorilla reaches that height in the following times.(a) 10 seconds w= _____ ft-lb (b) 5 seconds w= _____ ft-lb
Answer:
a) 9000 ft-lb
b) 9000 ft-lb
Step-by-step explanation:
Equation for the work:
The equation for the work done is given by:
[tex]W = Fd[/tex]
In which F is the force needed and d is the distance. The time does not interfere on the work.
A 300-lb gorilla climbs a tree to a height of 30 ft
This means that [tex]F = 300, h = 30[/tex]
Thus
[tex]W = Fd = 300(30) = 9000[/tex]
The work done in both cases is of 9000 ft-lb, as the work is not a function of time.
It is a beautiful day at the beach and ten beach volleyball players have shown up at the volleyball courts. Each two-person volleyball team should consist of a setter and a spiker. Five of the players prefer to be a spiker, four of the players prefer to be a setter, and one player is fine either way.
In how many ways can a two-person team be assembled such that no player feels out of position?
Answer:
4 i think
Step-by-step explanation:
Expand and simplify (n-2)(3n+7) + 2n(2n+3)
ANSWER ASAP IM TIMED 30 POINTS
Which shape below will form a tessellation?
A. regular heptagons
B. regular pentagons
C. regular octagons
D. regular hexagons
Answer:
Step-by-step explanation:
D ANSWER D
Answer:
d
Step-by-step explanation:
I need to know how to solve this completely not just the answers plz :)