A margin of sampling "error" is a statistical calculation for how accurate a poll's results are.
What is sampling error?A population parameter's sampling error is the discrepancy between the sample statistic used to estimate it and the parameter itself. For instance, sampling error is the variance between a population mean and a sample mean.
The sampling errors can be placed into four categories:
population-specific error: The researcher makes a population-specific error when they are unsure of the appropriate population to sample. When respondents choose to participate in the study on their own, a selection error arises. (This limits responses to those who are interested, which spoils the results.)selection error: The sampling error for a sample chosen using a non-probability method is known as selection error. Selection error can result when participants opt to self-participate in a study and only those who are interested reply, as there may already be an underlying bias.sample frame error: When the incorrect sub-population is utilized to select a sample, a sample frame error happens. Last but not least, a non-response problem happens when potential responders cannot be reached or refuse to respond.non-response error: Non-response error is a mistake that happens when a survey doesn't receive a response to one or more questions.To know more about the sampling error, here
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Suppose you drop a ball from a height of 10 feet. after the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0.85an – 1. what is a1? feet what is the height the ball rebounds to after its third bounce? round your answer to three decimal places. feet
The maximum height of the ball after its third bounce is equal to 3.568 feet.
What is the maximum height of a ball at the third bounce?
In this question we are aware that the maximum height reached by the ball decreases linearly after each bounce. To determine that height, we must take advantage of the recursive formula described in statement:
n = 0
a₀ = 10 ft
n = 1
a₁ = 0.85 · 10 - 1
a₁ = 8.5 - 1
a₁ = 7.5 ft
n = 2
a₂ = 0.85 · 7.5 - 1
a₂ = 5.375 ft
n = 3
a₃ = 0.85 · 5.375 - 1
a₃ = 3.568 ft
The maximum height of the ball after its third bounce is equal to 3.568 feet.
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The first one is 10 feet.
The second one is 6.141 feet.
Step-by-step explanation: Edge 2023
Can someone help please?
Answer:
A
Step-by-step explanation:
From left to right of the graph, we can observe that the generally the points are going down. This means that the trend line drawn will have a negative slope.
In the slope-intercept form, which is the form the given equations are in, we have y= mx +c, where m is the slope and c is the y-intercept.
We are only interested in the slope in this case, since no actual values are given. Thus, let's focus on the coefficients of x to determine whether the slope is positive or negative.
Option A: Slope= -⅔ (negative)
Option B: Slope= 3 (positive)
Since we have a negative slope, option A would be the best answer.
The attached image shows 2 graphs. The graph in blue shows the shape of a graph with negative slope, while the graph in red has a positive slope.
I need a proper answer and its urgent pls
perimeter of triangle park is x+y+xy meter. Length of two sides are x-z+yx meter and z+x+xz meter find the third side
Answer:
Step-by-step explanation:
hello :
the perimeter of triangle is : P= (x-z+yx)+( z+x+xz)+A
given P=x+y+xy calculate the third side A
x+y+xy = (x-z+yx)+( z+x+xz) so : A=x+y+xy -x+z-yx-z-x-xz....continu
a=
If the perimeter of the triangle park is x + y + xy meter. Then the third length of the triangle will be y - x - xz meters.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The perimeter of the triangle is determined by adding together all of its sides.
The perimeter of the triangle park is x + y + xy meter. The length of the two sides are x - z + yx meter and z + x + xz meter.
Let the third side be 'A'. Then the third length of the triangle is given as,
x + y + xy = (x - z + xy) + (z + x + xz) + A
x + y + xy = x - z + xy + z + x + xz + A
y = x + xz + A
A = y - x - xz
If the perimeter of the triangle park is x + y + xy meter. Then the third length of the triangle will be y - x - xz meters.
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If sin (90° - α) = BC /CA,write down the ratio of sina.
Answer:
Step-by-step explanation:
sin(90-a)=cos
cos = angle adjacent
theta=BC/CA
What is the distance between the points (-8, -3) and (-2, -5)?
The distance between the points (-8, -3) and (-2, -5) is √40 units
How to find distance between two points?Using distance formula,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Therefore, using (-8, -3) and (-2, -5).
x₁ = -8
x₂ = -2
y₁ = -3
y₂ = -5
d = √(-2 + 8)² + (-5 + 3)²
d = √(6)² + (-2)²
d = √36 + 4
d = √40
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the height of a can of coke is 11cm and the radius is 6 cm. the manufacturer of coke want to double the volume of the can but keep the radius as it is , calculate the height of the can?
Answer:
22 cm.
Step-by-step explanation:
Volume = πr^2 h = π 6^2 * 11
So to double the volume
Height will be 2*11 = 22 cm.
How do I do C?Someone please help asap.
You have to find the slope of the line. It will give you the conversion rate from inches to centimetres or the other way around.
Looking closely at the graph, or using a ruler as reference, you can estimate that 30 cm ≈ 12 in. In terms of the graph, the line very nearly passes through the point (12, 30). It also passes through the origin, (0, 0), since 0 cm = 0 in exactly.
The slope of the line is then
[tex]\dfrac{30\,\mathrm{cm}-0\,\mathrm{cm}}{12\,\mathrm{in}-0\,\mathrm{in}} = \dfrac{30\,\rm cm}{12\,\rm in} = \dfrac{5\,\rm cm}{2\,\rm in} = 2.5\dfrac{\rm cm}{\rm in}[/tex]
which means that 1 in ≈ 2.5 cm.
So, if Sarah's height is 64 in, we convert this to cm and find her height is (approximately)
[tex]64\,\mathrm{in} \times 2.5\dfrac{\rm cm}{\rm in} = \boxed{160\,\rm cm}[/tex]
Find the volume of the regular pyramid.
Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
The equations that are true for x = –2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16
Equations and expressionsGiven the solution to a quadratic equation to be -2 and 2, the equation is expressed as:
(x-(-2))(x -2) = 0
(x+2)(x - 2) = 0
Expand
x^2 - 2x + 2x - 4 = 0
x^2 - 4 = 0
Hence the equations that are true for x = –2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16
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hurry
help me please !!!!
Answer:
Step-by-step explanation:
(a)
1 - Simplify 4 - 9 to -5.
⇒ | - 5 |
2 - Simplify.
⇒ 5
(b)
1 - Simplify
⇒ -5
A store sells about 30 pants each week for Nu 800 each. The owner expects to lose one sale each week for every increase in price of Nu 40. a) Write an expression to represent the i) new price of a pant after n Nu 40 price increases. ii) expected number of pants that will be sold weekly after n price increases. b) Write a function to represent the expected weekly sales as a function of the number of price increases of Nu 40. c) Use the function to determine the price that will maximize totally sales.
The new price after the price increase of Nu 40 will be Nu 840.
How to calculate the price?The price of a pant after n Nu 40 price increases will be:
= 800 + 40
= 840
The expected weekly sales as a function of the number of price increases will be:
= n - 1) × 800
= (30 - 1) × 800
= 29 × 800
= 23200
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when evaluating (6.28x10^12)\(3.14x10^4)
Answer:??? rest of the question I think is what will be the exponent of 10 in the quotient? answer is 8
Step-by-step explanation:
which of thw following equations has roots x=-1, x=-2, and x=3i, and passes through the point (0,36)?
Answer:
C. f(x) = 2x⁴ +6x³ +22x² +54x +36
Step-by-step explanation:
You can use Descartes' rule of signs and the y-intercept to help you select the correct answer.
Y-interceptThe given point (0, 36) is the y-intercept of the function. This tells you 36 is the constant in the polynomial, eliminating choices A and B.
Rule of signsDescartes' rule of signs tells you the number of positive real roots will be less than or equal to the number of sign changes in the coefficients when the function is written in standard form. The number of negative real roots will be the number of sign changes after the signs of odd-degree terms are reversed.
Given rootsThe given real roots are both negative. There are zero positive real roots, so all of the signs of the coefficients in the function must be the same (no changes). This eliminates choice D, and tells you C is the correct answer.
f(x) = 2x⁴ +6x³ +22x² +54x +36
You have fifteen blankets that each take up 557 cubic inches of space. How many blankets could you pack into a 14-inch moving box
You have fifteen blankets that each take up 557 cubic inches of space. In a 14-inch moving box, we can pack approximately 5 blankets.
The Volume that can take up by single blanket is 557 cubic inches.
The dimension of the moving box = 14 × 14 × 14
Hence, the volume of the moving box = 2744 cubic inches
The total number of blankets that can be packed in the given moving box = 2744/557 = 4.92 ≅ 5
Therefore, in a 14-inch moving box, there can be 15 blankets with 557 cubic inches of space of each can be packed.
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The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ?
Answer:
The prime factors of 13195 are 5, 7, 13 and 29. The largest prime factor of the number 600851475143 is 6857
Can someone help me with this question?
Step-by-step explanation:
Find lower quartile first: 1/4 (61)th term which equals to 15.25th term. Use your graph to estimate where 15.25 is and draw a line till it meets tne curve. As soon as it touch the curve, continue the line downward and you'll get LQ in kg. Secondly, find upper quartile: 3/4(61)th term which equals to 45.75th term. Proceed the same thing I mentioned above for lower quartile. Then the formula for interquartile range is upper quartile minus lower quartile and you'll get the answer in kg.
The two-way table represents data from a survey asking teachers whether they teach English, math, or both.
The joint relative frequency is 21%.
What is the joint relative frequency?Joint relative frequency can be described as the ratio of the frequency of data in a certain category to the total number of data points in that category.
The joint relative frequency for teachers who teach math and not English = number of teachers who teach maths and not English / total number of teachers
(22 / 104) x 100 = 21%
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Nathan buys a bottle of water for $1.25, gum for $0.50, and a book for $3.95. the sales tax is 10%. what is the sales tax for the things he buys
Answer:
$0.75, which is
75 cents
Step-by-step explanation:
First add the cost of all the items.
1.25 + .50 + 3.95
= 5.70
To find 10% of 5.70, change the percent to a decimal and multiply.
10% is .10
5.70 × .10 = .57
The tax is 57 cents. This can be written as $0.57
please help I can't answer this question
By critically observing the graph above, the amount of water in this pond at 0 hour is equal to 2,660 liters.
Similarly, the amount of water in this pond at 1 hour is equal to 3,225 liters.
Next, we would determine the rate of increase:
Rate = Δy/Δx
Rate = (3225 - 2660)/(1 - 0)
Rate = 665.
The amounts given in parts (b) and (c) are not equal because because the line doesn't pass through the origin (0, 0) of the graph.
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(1 out of 5 parts) please help >3
Answer:
option D
Step-by-step explanation:
Convert the mixed fraction to improper fraction.As denominators are different, find the LCM of denominators.Find equivalent fractions using the LCMNow subtract and then convert improper fraction to mixed fraction.[tex]\sf 5\dfrac{3}{6}=\dfrac{33}{6}\\\\2\dfrac{1}{3}=\dfrac{7}{3}[/tex]
LCM of 6 , 3 = 6
[tex]\sf \dfrac{33}{6}-\dfrac{7}{3}=\dfrac{33}{6}-\dfrac{7*2}{3*2}\\[/tex]
[tex]\sf =\dfrac{33}{6}-\dfrac{14}{6}\\\\=\dfrac{33-14}{6}\\\\= \dfrac{19*3}{6*3=\dfrac{57}{18}}\\\\=3\dfrac{3}{18}[/tex]
Given that B is the midpoint of the arc AC, find
(i) the length of BD,
(ii) the perimeter of the shaded region
(iii) the area of the shaded region.
Ans:
8.49
21.4
20.5
i. Line BD = 6√2 cm
ii. Perimeter = 3 (π + 4) cm
iii. Area = 18 ( π - 2) cm
How to determine the parametersLet the length of BD = x
Since B is the midpoint of the arc AC, then ∠BOC = 15°
In ΔBDB
Let's use the trigonometric ration, tan
[tex]Tan 45 = \frac{BD}{CD}[/tex]
CD = x
Then, using the Pythagorean theorem
[tex]x^2 + x^2 = 12^2[/tex]
[tex]2x^2 = 144[/tex]
[tex]x^2 = \frac{144}{2}[/tex]
[tex]x = \sqrt{72}[/tex]
[tex]x = \sqrt{36 *2}[/tex]
[tex]x = 6\sqrt{2}[/tex]
Thus, line BD is [tex]6\sqrt{2}[/tex] cm
ii. Perimeter = BC + BD + CD
= 2πr/8 + x + r - x
= π(12)/4 + r
= 3π + 12
= 3 ( π + 4) cm
iii. Area of shaded area = Area of BOC + Area of BOD
⇒ πr^2/8 × 1/2x^2
= π144/8 × 1/2(72)
= 18π - 36
= 18 ( π - 2) cm²
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slope:
y-intercept:
HELP
Answer:
Slope: 1
Y-intercept: -1
Step-by-step explanation:
The line touches the y-axis at -1, and using rise over run for the slope, it would be 1, since you go up 1 unit and move to the right 1 unit. 1/1 which is our rise/run would be 1 and that would make the slope 1.
I hope it helps! Have a great day!
bren~
If i start my trip driving at x mph for a hours and then go 5 mph slower for the next 2 hours what is the total distance i traveled.
Total distance travelled = (x.a + 2x -10) miles .
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed X Time
The whole trip can be divided into two parts
Part 1 :- Speed = x mph and time = a hours
∴ Distance = x .a miles
Part 2 :- Speed = x -5mph and time = 2 hours
∴ Distance =(x-5).2 = (2x -10)miles
Total distance = (x.a + 2x -10) miles
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PLS HELP FAST
Kryton -85 is a radioisotope of krypton that has a half-life of about 10.75years. This isotope is produced by the nuclear fission of uranium and plutonium in nuclear weapons and in nuclear reactors, as well as cosmic rays. An important goal of the Limited Nuclear Test Ban Treaty of 1963 was to eliminate the release of such radioisotopes into the atmosphere. At present, the activity of Krypton -85 in the atmosphere is about 135 mCi.
How much Krypton -85 will be present in the atmosphere after 12,532days?
Using an exponential function, it is found that 14.75 mCi of Krypton -85 will be present in the atmosphere after 12,532 days.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(0.5)^\frac{t}{h}[/tex]
In which:
A(0) is the initial value.h is the half life, in years.t is the time, in years.In this problem, the parameters are:
A(0) = 135, h = 10.75, t = 12532/365 = 34.334.
Hence the amount is:
[tex]A(t) = A(0)(0.5)^\frac{t}{h}[/tex]
[tex]A(t) = 135(0.5)^\frac{34.334}{10.75}[/tex]
A(t) = 14.75.
14.75 mCi of Krypton -85 will be present in the atmosphere after 12,532 days.
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You have one type of chocolate that sells for $1.50/lb and another type of chocolate that sells for $6.50/lb. You would like to have mix the $1.50/lb type with 10 lbs of the $6.50/lb type to make a chocolate mixture that sells for $2.50/lb. How much of the $1.50/lb type will you need to obtain the desired mixture
14 of the $1.50/lb type will you need to obtain the desired mixture.
According to the statement
Chocolate A that sells for $1.50/lb
Chocolate B that sells for $6.50/lb
Then in equation form the quantity of mixture will
A + B = X
then
$1.50A + $6.50(10) = X
1.50A + 65 = X -(1)
after solving the equation the value of a and b will become
A = 14.
So, 14 of the $1.50/lb type will you need to obtain the desired mixture.
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Find the midpoint between the two points:
(2,3), (4,1)
Answer:
(3, 2 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (4, 1 ) , then
midpoint = ( [tex]\frac{2+4}{2}[/tex] , [tex]\frac{3+1}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (3, 2 )
The ratio of color paper to white is 3:8, if there is 48 white paper how many is colour
There might be 18 colored papers.
colored papers to white papers:
3:8
48 white papers
8x6 = 48
Then 3x6= 18
There might be 18 colored papers.
Ratios evaluate numbers, normally through dividing them. in case you are evaluating one facts factor (A) to another statistics factor (B), your formulation might be A/B. this indicates you are dividing data A by using information B. for example, if A is 5 and B is 10, your ratio will be 5/10.
In mathematics, a ratio indicates how many times one quantity incorporates some other. for instance, if there are 8 oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is 8 to 6. further, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the full amount of fruit is 8:14.
Ratios can be absolutely simplified just like fractions. To simplify a ratio, divide all the numbers in the ratio through the same wide variety until they can not be divided anymore.
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What is the imagine point of (4,-2) after the transformation ry=-i ○ D1/2
The image point of (4,-2) after the transformations given is; (2,1).
What is the image point after the transformations?It follows from the task content that the point given is (4, -2) which first reflects over the y axis and hence, renders the new image to be; (4, 2) after which it undergoes a dilation of with dilation factor, 1/2 and hence, the image point is; (2,1).
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kathy uses a 1/2 cup of milk with every bowl of her favorite cereal if there are only 3 3/5 cups of milk left, then how many bowls of cereal would kathy have?
Taking a quotient, we will see that she can make 7 bowls of cereal (and some leftover milk).
How many bowls of cereal would kathy have?We know that for each bowl, she needs 1/2 cups of milk.
And we also know that she has a total of (3 + 3/5) cups of milk.
To know how many bowls she can make, we need to take the quotient between the total that she has and the amount that she needs for each bowl:
(3 + 3/5)/(1/2)
We can rewrite the total as:
3 + 3/5 = 15/5 + 3/5 = 18/5
Then the quotient becomes:
(18/5)/(1/2) = (18/5)*2 = 36/5 = 35/5 + 1/5 = 7 + 1/5
So she can make 7 bowls of cereal (and some leftover milk).
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A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds. What is the radius of each of the smaller molds, in feet
The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.
How to calculate the volume of a hemisphere?The volume of the hemisphere is calculated by using the formula,
= [tex]\frac{2}{3}[/tex] × π × r³ cubic units
where r is the radius of the hemisphere.
Calculation:It is given that,
A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.
So, the volume of the bowl is
V = [tex]\frac{2}{3}[/tex] × π × (1)³
= [tex]\frac{2}{3}[/tex] × π cubic feets
The volume of each smaller hemisphere-shaped mold = [tex]\frac{2}{3}[/tex] × π × r³ cubic units
So, for 27 molds, the volume = 27 × [tex]\frac{2}{3}[/tex] × π × r³ cubic units
All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.
Then,
[tex]\frac{2}{3}[/tex] × π = 27 × [tex]\frac{2}{3}[/tex] × π × r³
⇒ r³ = 1/27
⇒ r = 1/3 ft
Therefore, the required radius of each of the smaller molds is 1/3 foot.
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