Maybe 28kms in 1 hour
Or 2,8kms because 7/10 is 0,7km
A previous survey of Washington residents showed that 18% of residents accessed a state park within the last 12 months. This year, the state would like to re-administer the survey, but wants to be sure the Margin of Error in their new study will be at most 4%. Assuming they believe the previous survey's results were reliable, how many samples should they take to ensure their Margin of Error is at most 4% if they plan to analyze the data using a 95% confidence interval
Using the z-distribution for the margin of error, it is found that 355 samples should be taken.
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]\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]\frac{1+\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The estimate is of 18%, hence [tex]\pi = 0.18[/tex].
95% confidence, hence [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The minimum sample size is n for which M = 0.04, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2[/tex]
[tex]n = 354.4[/tex]
Rounding up, 355 samples should be taken.
A similar problem is given at https://brainly.com/question/14936818
Write the equation (y=mx+b) that represents the relationship show on the graph.
Answer:
y= 3x + 4
Step-by-step explanation:
yeah-ya....... right?
True or false: An absolute value function is an example of a piecewise function.
Answer:
True
Step-by-step explanation:
An absolute function can be re-written as:
[tex]|x| = \left \{ {{x} \quad \ \ \ \text{if} \ x \geq \ 0\atop {-x} \quad \text{if} \ x < 0} \right.[/tex]
That is the form of a piecewise function.
i need help with this question.
Answer:
See below for answer.
Step-by-step explanation:
∠1 and ∠2 are supplementary Given
∠1 + ∠2 = 180° Definition of supplementary angles
∠3 and ∠2 are supplementary Given
∠3 + ∠2 = 180 Definition of supplementary angles
∠1 + ∠2 = ∠3 + ∠2 Substitution
∠1 = ∠3 Substracting ∠2 from both sides
-5(X+2)=35 APPLY THE DISTRIBUTIVE PROPERTY
Hello!
-5(x+2)=35
-5x-10=35
-5x=35+10
-5x=45
x=-9
Hope it helps!
~Just a determined gal
#CarryOnGainingKnowledge
[tex]MysteriousNature[/tex]
Answer:
x = -9
Step-by-step explanation:
-5(x + 2) = 35
~Distribute
(-5 * x) + (-5 * 2) = 35
~Simplify
-5x - 10 = 35
~Add 10 to both sides
-5x = 45
~Divide -5 to both sides
x = -9
Best of Luck!
Y=2x+9
Y=6-x
Solve the system of linear equations by
Solve each proportion 3 = 72 – 7
1. 3/7 = 72/x
By cross multiplication we get :
➟ 3x = 72 × 7
➟ x = 72 × 7/3
➟ x = 24 × 7
➟ x = 168
2. m/8 = 8/20
By cross multiplication we get :
➟ 20m = 8 × 8
➟ 20m = 64
➟ m = 64/20
➟ m = 16/5
5. 3 out of 750 light bulbs is what percent?
Answer:
0.00706666666
Step-by-step explanation:
please help me mathematics = x²+2x-24=0
Answer:
x=4
or
x=-6
Step-by-step explanation:
did you know u can solve that equation on your calculator without much struggle?
Answer:
Factors = > (x - 4) (x + 6)Value = > x = 4, -6Step-by-step explanation:
= > x^2 + 2x - 24
= > x^2 + 6x - 4x - 24
= > x(x + 6) - 4(x + 6)
= > (x - 4) (x + 6)...ans
x = -6 , 4
Hope it helps you!!Brainliest if correct
Answer:
Just pick 2 coins to compare (I mean the directions say compare 2).
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
are the most standardized coins and rougly inreplicable so deemed old in value , assertion would be the best way to value these coins.
a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base so that the two solids of equal weight will be formed?
A structure which has a square base and four triangular sides meeting at a point is called pyramid.
At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.
It is assumed that weight of pyramid is proportional to its volume.
So, [tex]w = k V[/tex] , where V is volume of original pyramid and v is volume of small pyramid and k is constant.
Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.
Assume that base area of original pyramid is A and base of small pyramid is a.
Volume of original pyramid is, [tex]V= \frac{1}{3} *A* 5[/tex]
So, weight of original pyramid, [tex]W = k *(\frac{1}{3} *A* 5) = 800[/tex]
Volume of small pyramid is, [tex]v = \frac{1}{3}* a* h[/tex]
So, weight of small pyramid, [tex]w = k*(\frac{1}{3}* a* h)=400[/tex]
Since, base and height of small pyramid and original pyramid are in proportion.
So, [tex]\frac{a}{A} = (\frac{h}{5}) ^{2}[/tex]
[tex]a = (\frac{h}{5} )^{2}A[/tex]
Substituting value of a in equation [tex]k*(\frac{1}{3}* a* h)=400[/tex]
So, [tex]k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400[/tex]
[tex](k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400[/tex]
Since, [tex](k *\frac{1}{3} *A* 5) = 800[/tex], substitute in above equation.
So, [tex]800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet[/tex]
Learn more:
https://brainly.com/question/17950304
Find the value of y.
Answer:
y = 155
Step-by-step explanation:
6x + 1 = 2x + 17
x = 4
2 · 4 + 17 + y = 180
y = 155
I hope that this helps!!
what percent equals 44 =33
Answer:
33/44 = 0.75
0.75*44 = 33
Answer:
44% of 75 = 33
Step-by-step explanation:
Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons
Answer:
142 watermelon
Step-by-step explanation:
10/71 = 20 / w
w = 20(71/10) = 142
Based on the table below, find the input and output values of the function.
Answer:
the inputs are: 0,1,2,8,12
the outputs are: 19,9,7,16,17
(Put them in order if needed)
**inputs are x values and outputs are the y values**
A ticket for a show costs $114.50. A parking pass costs $13.00. Let x represent the number of tickets and y represent the cost. How much does it cost for 2 tickets and a parking pass?
Answer:
X multiplied by Y is $229 plus a parking pass being $242
Step-by-step explanation:
X = 2 (2tickets)
Y = $114.50 (cost of one)
multiplying the tickets by the cost of one will give you $229 and the cost for the parking pass being $13.00 well 29 + 13 = 42 adding 42 to the 200 we left gives you $242 for 2 tickets and a parking pass
increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5
Answer:
Given 3:5 = 3+5=10,
400*3/8=150,
400*5/8=250.
The following accounts appear in the ledger of Monroe Entertainment Co. All accounts have normal balances.
Accounts Payable $1,500 Fees Earned $3,600
Accounts Receivable 1,800 Insurance Expense 1,300
Prepaid Insurance 2,000 Land 3,000
Cash 3,200 Wages Expense 1,400
Drawing 1,200 Capital 8,800
Total assets are
a. $10,000
b. $9,800
c. $9,700
d. $8,000
The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.
An asset in business is defined as any form of resources owned by an individual or controlled by a business enterprise.From the given account that appears in the ledger of Monroe Entertainment Co, the assets include the account receivables, Land, and Cash.
Taking the sum of the given assets to get the total asset.
Total assets = account receivables + Land + Cash
Total assets = $ 1,800 + $3,000 + $ 3,200
Total assets = $8,000
Hence the total assets of Monroe Entertainment Co. are $8,000
Learn more on assets here: https://brainly.com/question/23046859
a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.
Answer:
h = √(7.5² - 2.1²) = 7.2 m
Step-by-step explanation:
The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.
Answer:
40 in
Step-by-step explanation:
For a width of w, the length is 3w and the area and perimeter are ...
A = LW = (3w)(w) = 3w^2
P = 2(L+W) = 2(3w +w) = 8w
We are given the area, so we can find w to be ...
75 in^2 = 3w^2
25 in^2 = w^2 . . . . . divide by 3
5 in = w . . . . . . . . . square root
Then the perimeter is ...
P = 8w = 8(5 in) = 40 in
Can someone answer these questions? Thank you!
Answer:
It's not a function
Because it's not a function, you don't have to answer b and c
Suppose y varies directly with x. If y=16 when x= 8, find x when y=10
Answer:
5
Step-by-step explanation:
By question,
=> y = kx
When y = 16 , x = 8
=> 16 = x(8)
=> x = 2
When y = 10 ,
=> 10 = 2x
=> x = 5
Answer:
5
it is the correct answer
33% of what number is 1.45? Round to the nearest tenth.
Take the unknown number as 'y'.
=》33% = 33/100
=》1.45 = 145/100
33/100 × y = 1.45
33/100 × y = 145/100
33y = 145/100 × 100/1
33y = 145
y = 145/33
y = 4.39
______
RainbowSalt2222 ☔
4,39
I'm sorry if I'm wrong
Emily took an airplane trip. Her plane flew an equal number of miles each hour. Write an equation to represent one way you can find how many miles Emily's plane flew each hour.
Use this to help you:
Air travel time: 12 hours
Destination: 2,184 miles
182.00 miles per hour
y = 182x will be the equation to represent one way you can find how many miles Emily's plane flew each hour.
What is the equation?A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.
The information that is provided is
the air travel time is 12 hours
The destination miles will include 2,184 miles
Assuming the values of x and y
x = number of hours n
y = distance covered
The equation that will be made will be:
y = (2184 / 12)x
y = 182x
Therefore, the equation will be y = 182x.
Learn more about equation, Here:
https://brainly.com/question/14686792
#SPJ2
What is the value of -2(x+5)
Answer:
-2x-10
Step-by-step explanation:
You have to use the distributive property to solve this problem. You multiply the things inside the parenthesis by -2. -2x+-2x5 = -2x+(-10) = -2x-10
What is the value of x?
Answer:
Step-by-step explanation:
45
Answer:
x=44°
Step-by-step explanation:
It's an Isosceles triangle, it has two equal sides (DC=CE) so also its two equal angles of 44 degrees
Hope this helps
(3.71 + (-5.25))(4+(-9)
Answer:
You need a calculator to solve, but here: 7.7
Step-by-step explanation:
u missed a few paranthesis. I solved this instead: (3.71 + (-5.25))(4+(-9))
first subtract 3.71 by 5.25 to get -1.54 then subtract 4 by 9 to get -5. Then you multiply them to get 7.7.
Add or subtract. write fractions in simplest form.
-5/3 + 2 1/3
how do i do this problem? i will mark you brainliest. please help!
Answer:
2/3
Step-by-step explanation:
-5/3 + 2 1/3 =
= 2 1/3 - 5/3
= 2 1/3 - 1 2/3
= 1 4/3 - 1 2/3
= 2/3
Answer:
2/3
Step-by-step explanation:
First, change 2 1/3 into an improper fraction.
2 1/3 --> 7/3
Substitute that value back into the equation
-5/3 + 7/3
At this point, you can rewrite the equation into:
7/3 - 5/3
Since they have the same denominator, just subtract the numerator's values.
2/3
find the perimeter of a trapezium whose side is 3cm,4cm,5cm,6cm
Answer:
18 cm
Step-by-step explanation:
The perimeter is the sum of the side lengths:
3 cm + 4 cm + 5 cm + 6 cm = 18 cm
_____
Additional comment
If these are the side lengths in order around the figure, it cannot exist. (It will be a line segment 9 units long.)
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer: i think its 4 -4 or 4 and 8
Step-by-step explanation: sorry if imma wrong