Using the z-distribution, it is found that 217 sample measurements should be taken at each site.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].
We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]
[tex]n = 216.1[/tex]
Rounding up:
217 sample measurements should be taken at each site.
A similar problem is given at https://brainly.com/question/17039768
If I need to use 4/5 of a cup of strawberries for a single pie. How many cups are needed for 2 pie?
What is 7 ⅖ decreased by 4 4/5 ?
Answer:
2 3/5
Step-by-step explanation:
7 2/5 decreased by 4 4/5, Is the same as 7 2/5 - 4 4/5, which equals to 2 3/5.
which equation does not belong with the other three A. y=-5x-1 B.2x-y=8 C. y=x+4 D. y= -3x+13
Answer:B
Step-by-step explanation:
All other equations solve for Y
Matthew borrows $200, agreeing to pay it back with a 6% annual interest after 20 months. How much interest will she pay?
Answer:
$20.00
Step-by-step explanation:
Equation:
A = P(1 + rt)
convert R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Putting time into years for simplicity,
20 months / 12 months/year = 1.666667 years.
sol.
A = 200(1 + (0.06 × 1.666667)) = 220.000004
A = $220.00
The total amount accrued, principal plus interest, from simple interest on a principal of $200.00 at a rate of 6% per year for 1.666667 years (20 months) is $220.00.
Interest: $20.00
1st Question
3x + 8y = -4
2x - 4y = 16
2nd Question
6x - y = 16
x = 4y - 5
3rd Question
x + y = 19
3x - 2y = -3
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Answer:
(x, y) = (4, -2)(x, y) = (3, 2)(x, y) = (7, 12)Step-by-step explanation:
When you have a lot of the same kind of problem to solve, it makes a certain amount of sense to let a spreadsheet do it. You can enter the formulas once, and then all you need to do is supply the different data for the different problems.
Here, we can put the equations into standard form, then use Cramer's Rule to solve them. For the two equations ...
ax +by = cdx +ey = gwe can define ...
D = (ae -db)
Then the values of x and y are ...
x = (ce -gb)/D
y = (ag -dc)/D
The attached spreadsheet implements these equations to find the values of x and y.
__
The second equation of the 2nd Question is not given in standard form. To put it into standard form, we need to subtract 4y from both sides:
x -4y = -5
_____
Additional comment
Many graphing calculators have matrix functions that will solve sets of linear equations, too. For those, you can use the function that puts the coefficient matrix into Reduced Row-Echelon Form. Often that function is named RREF( ), as it is on my TI-84 and HP-48 calculators. The input coefficient matrix will look like ...
[tex]\left[\begin{array}{ccc}a&b&c\\d&e&g\end{array}\right][/tex]
and the output matrix will look like ...
[tex]\left[\begin{array}{ccc}1&0&\text{x-value}\\0&1&\text{y-value}\end{array}\right][/tex]
Effectively, the equations are solved by "elimination." If the calculator shows [0 0 0] in the bottom row of output, it means the equations are dependent and there are infinite solutions. If it shows [0 0 1], the equations are inconsistent, and there are no solutions.
Which of the following is an example of the identity property of 1?
O 0+2 = 24
O 3 - 2 = 1
O (1) = 1
1.11(0) = 0
Answer:
(1) = 1
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Lindsey sold stationery to her family and her mother's friends shw deposited the $125 shw earned in a savings account. The account earns 5.18% interest annually. If she does not deposit or withdraw any money for 18 months how much will she have in her account
Answer:
$134.71
Step-by-step explanation:
A = P(1 + rt)
A = Amount after t months or years
P = Principal or amount saved
r = interest rate = 5.18% = 0.0518
t = time.in years = 18 months
= 1 year and 6 month
= 1.5 year
A = $125( 1 + 0.0518 × 1.5)
A = $125 ( 1 + 0.0777)
A = $125(1.0777)
A = $134.71
pls hurry ill mark brainleest BUT ONLY IF U GET IT RIGHT
Answer:
C. 15
Step-by-step explanation:
Graph shows the point to 5.
Says " Chocolate in 3 Box"
5*3=15
Hope this help!
Answer:
c15
Step-by-step explanation:
1. What is the radius of the circle?
Worth max points
Answer:
[tex]7[/tex]
Step-by-step explanation:
We see that the circle is centered at [tex](1, 0)[/tex]. We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.
We know that the circle intersects the x-axis at [tex](8, 0)[/tex]. Therefore the radius of the circle is the distance between these points, in this case [tex]8-1=7[/tex].
So, the answer is [tex]\boxed{7}[/tex] and we're done!
What is the measure of z? z = [?]
The measure of z in its simplest form is 3√11
We solve the triangle using pythagoras' theorem.
What is pythagoras' theorem?Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.
So, according to Pythagoras' theorem,
c² = a² + b²
The required equationsSince we have three right angled triangles, in the smallest right angled triangle, we have
z² = y² + 3² (1)
In the next larger right angled triangle, we have
x² = y² + 27² (2)
In the largest right angled triangle, we have
(3 + 27)² = z² + x²
30² = z² + x² (3)
Substituting (2) into (3), we have
30² = z² + x²
30² = z² + y² + 27²
30² - 27² = z² + y²
900 - 729 = z² + y²
171 = z² + y²
z² = 171 - y² (4)
Equating (1) and (4), we have
y² + 3² = 171 - y²
y² + 9 = 171 - y²
y² + y² = 171 + 9
2y² = 180
y² = 180/2
y² = 90
The measure of zSubstituting y² into (1), we have
z² = y² + 3²
z² = 90 + 9
z² = 99
z = √99
z = 3√11
So, the measure of z is 3√11
Learn more about pythagoras' theorem here:
https://brainly.com/question/654982
#SPJ1
Answer: first answer 3, 2nd answer 10.
Step-by-step explanation:
I just did the question on acellus
Hey here is my question. So if you have 20 legos and your sister has 10 legos how many more legos do you have than her? fr.ee points.
Answer:
You would have 10 more legos than your sister.
Step-by-step explanation:
20-10=10
Is this graph portional
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Answer:
no
Step-by-step explanation:
The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.
simply each radical 1-4
Answer:
1. [tex]8x\sqrt{yz\\}[/tex] 2.[tex]8xy\sqrt{xz}[/tex] 3.[tex]4x^{2}yz\sqrt{y}[/tex] 4.[tex]7yz\sqrt{xz}[/tex]
Step-by-step explanation:
You start at (5, 7). You move down 1 unit and left 5 units. Where do you end?
Answer:
(0, 6)
Step-by-step explanation:
5, 7
x, y
5, 7
-5 -1
---------------
0,6
Four fifth of a number 'm' is 4 more than three-fourth of the same number. Find the number.
Answer:
Let the number be x. Then, 4/5x - 3/4x = 4. Hence, The required number is 80.
Step-by-step explanation:
Let the number be x.
According to the question, lets form an equation
5
4x −4
3x +4
⇒ 5 4x − 4
3x =4
20
16x − 15x =4
⇒ 20x =4
⇒ x=4×20
⇒x=80
∴ The number is x=80.
Helppppppppp plzzzzzzzzzz
The Four-Digits Problem
Use the digits 1, 2, 3, and 4 to write expressions for the numbers
1 through 50. Each digit is used exactly once in each expression.
(There might be more than one expression for a given number.)
You can use addition, subtraction, multiplication and division, factorial, absolute
, exponents, and parentheses in any way you wish.
Answer:
praktik ko yctgv hujan hu bule
Subtract polynomials:
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
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Answer:
-5x^4 +6x^3 -x +3
Step-by-step explanation:
First, eliminate parentheses.
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
= -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2
Then collect terms.
= -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3
= -5x^4 +6x^3 -x +3
The area of a room is 65.25 meters squared. If its width is 8.7 meters, what is its length?
Answer:
28 / 4 = -7.v
Step-by-step explanation:
divide 4x+2x^3+7x^2-1 by x=-1
Answer:
12
Step-by-step explanation:
4(1)+2(1)”3+7(1)”2-1
4+2+7-1
12
wait if x=-1 it’s zero
A bag contains 3 black marbles and 5 white marbles. Paul picks a marble at random from the bag and replaces it back in the bag. He mixes the marbles in the bag and then picks another marble at random from the bag. Calculate the probability that Paul picks:
A. Two black marbles
B. Black marble in his second draw
Answer:
id go with B.
you'd get a mix because its bound to happen.
The table lists the average surface temperature of some planets.
Average Surface
Planet Temperature
(°C)
Mercury 167
Uranus
-197
Neptune -200
Earth
15
Mars
-65
Jupiter -110
Enter an inequality to compare the temperatures of Mercury and Mars.
Answer:
Mercury's temperature > Mars' temperature
Step-by-step explanation:
The average surface temperature on Mercury is 167 degrees C, and the average surface temperature on Mars is -65 degrees C. 167 is greater than -65, so Mercury > Mars.
Two trains leave the same city at a right angle to each other and continue in straight lines. Train B travels 5 mph faster than train A. After two hours, they are 50 miles apart. Determine the speed of each
train.
Answer:
Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.
Step-by-step explanation:
An art teacher has a total of 6/8 pound of clay. The teacher puts 1/16 pound of clay at each work station. The teacher sets up an equal number of work stations in each of the two classrooms. How many work stations does the teacher set up in each classroom?
Help!!![tex]What is the measure of ∠L?[/tex]
Answer:
60°
Step-by-step explanation:
1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.
Therefore, ∠L is 60°.
Help ME!!! This Homework is Confusing Me
Answer:
I think it is d or a. I might be wrong sorry
Step-by-step explanation:
If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house payment?
Answer:
The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%
Website
1. Orbitz.com
2. Mypoints.com
3. Americangreetings.com
4.Bizrate.com
5.Half.com
Average daily unique visitors
1,527,000
1,356,000
745,000
503,000
397,000
What was the total average number of visits for these websites?
Answer:
905,600 visitors
Step-by-step explanation:
added each number up and divided them by 5 (the total number of websites) to get 905,600
Order these numbers in Descending order
Answer:
28.3, 28 1/3, 25 1/4, 5v25
Step-by-step explanation:
Plot the graph of the linear equation. 3x-2y=6
Answer:
First point : (0, -3)
Second point : (2, 0)
Y-intercept : -3
Step-by-step explanation:
To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.
1.) 3x - 2y = 6
2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)
3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)
Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.
1.) 3x - 2(-3) = 6
2.) 3x + 6 = 6 (multiply (-2) and (-3))
3.)3x = 0 (subtract 6 on both sides using inverse operations)
4.) x = 0
Now you have your first point which is (0, -3)!
To get your last point, just substitute your y coordinate from the original equation to get x.
1.) 3x - 2(0) = 6
2.) 3x - 0 = 6
3.) 3x = 6
4.) x = 2
Then, substitute the x coordinate from above in the original equation to get the y coordinate.
1.) 3(2) - 2y = 6
2.) 6 - 2y = 6
3.) -2y = 0
4.) y = 0
Second coordinate : (2, 0)
I hope this explanation was helpful!