The gradient is equal to the rise in elevation/distance.
The correct answer is "rise." What is the gradient? The term "gradient" refers to the amount of steepness or slope in a surface, represented by a number or percentage. The gradient is calculated as the change in elevation divided by the change in distance.
As a result, the gradient is measured in units of elevation per distance, such as feet per mile or meters per kilometer. The formula for the gradient is given by:Gradient = Rise / RunWhere rise is the change in elevation and run is the change in distance.
The gradient, on the other hand, indicates the steepness or slope of a surface. It represents the angle of the slope and the direction of flow of a stream, among other things. It's also used to figure out the water flow rate in a pipeline or open channel.
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I really need help with this
As Hannah want to arrange the 4 cereal boxes from least to greatest weight, the correct arrangement will be: "Oaties, Bran Flakes, Corn Cornes, Big O's". The Option C is correct.
What is arrangement of weight from least to greatest?Arranging weights from least to greatest is a common task in various situations, such as when weighing ingredients for a recipe or when sorting objects by weight.
To accomplish this, one needs to compare the weights of the objects and order them accordingly. A simple approach is to use a weighing scale to measure the weights accurately and write them down.
The correct arrangement of "Oaties, Bran Flakes, Corn Cornes, Big O's" is correct because they have the weights of 451.5, 453.6, 453.8 and 458.2 respectively.
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can sombody help me
Simplify. (4k2−12)−(6k2−3k−10)
Answer:
n
Step-by-step explanation:
n
Answer: -2k^2+3k-2
Step-by-step explanation:
distribute
add
combine like terms
rearrange
Write a quadratic function to represent the relationship shown in the table.
The quadratic function that represents the relationship in the given table is y =[tex]-2x^2 + 8x + 4,[/tex] which was verified by substituting the x-values from the table into the equation.
The quadratic function that represents the relationship in the given table is y [tex]= -2x^2 + 8x + 4.[/tex]To verify this, we can substitute the x-values from the table into the equation and compare the resulting y-values.
When x = 0, we get y =[tex]-2(0)^2 + 8(0) + 4 = 4[/tex], which matches the table.
When x = 1, we get y =[tex]-2(1)^2 + 8(1) + 4 = 4,[/tex] which matches the table.
When x = 2, we get y =[tex]-2(2)^2 + 8(2) + 4 = 2,[/tex] which matches the table.
When x = 3, we get y =[tex]-2(3)^2 + 8(3) + 4 = 4,[/tex] which matches the table.
When x = 4, we get y = [tex]-2(4)^2 + 8(4) + 4 = 6,[/tex] which matches the table.
Therefore, the quadratic function y =[tex]-2x^2 + 8x + 4[/tex]accurately represents the relationship in the given table.
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in the past year, 13% of businesses have eliminated jobs. if 5 businesses are selected at random, find the probability that at least 3 have eliminated jobs during the last year. round your answer to at least three decimal places. do not round your intermediate calculations.
The probability that at least 3 out of 5 businesses have eliminated jobs in the past year is 0.0556.
To find the probability that at least 3 out of 5 businesses have eliminated jobs, we can use the binomial probability formula:
P(X >= 3) = P(X = 3) + P(X = 4) + P(X = 5)
where X is the number of businesses out of 5 that have eliminated jobs, and P(X = k) is the probability of exactly k businesses out of 5 eliminating jobs.
Using the binomial probability formula, we can calculate the probabilities for each possible value of X:
P(X = 3) = (5 choose 3) x (0.13)³ x (0.87)² = 0.0519
P(X = 4) = (5 choose 4) x (0.13)⁴ x (0.87)¹ = 0.0036
P(X = 5) = (5 choose 5) x (0.13)⁵ x (0.87)⁰ = 0.0001
where (n choose k) represents the number of ways to choose k items from a set of n items, and can be calculated using the formula:
(n choose k) = n! / (k! * (n - k)!)
where n! represents the factorial of n.
Now we can add up these probabilities to get the probability of at least 3 out of 5 businesses having eliminated jobs:
P(X >= 3) = 0.0519 + 0.0036 + 0.0001 = 0.0556
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Given the function g(x) = 5x - 12, find the value of g(-2)
Answer:-22
Step-by-step explanation:
g(x)=g(-2) means that, x=-2:
so, we have to write -2 instead of every x,
5*(-2)-12=-10-12=-22
A recent college graduate has a $3,500 balance on a credit card that charges 16.5% interest, compounded monthly. What monthly payment must be made to pay this balance in two years?
Therefore, a monthly payment of $168.62 must be made to pay off the $3,500 balance on the credit card in two years.
What is percent?Percent is a way of expressing a number as a fraction of 100. The symbol for percent is "%". Percentages are used in many different contexts, such as finance, economics, statistics, and everyday life.
Here,
To calculate the monthly payment required to pay off the $3,500 balance on a credit card that charges 16.5% interest, compounded monthly, in two years, we can use the formula for the present value of an annuity:
[tex]PMT = PV * r / (1 - (1 + r)^{-n})[/tex]
where PMT is the monthly payment, PV is the present value of the loan, r is the monthly interest rate, and n is the total number of payments.
First, we need to convert the annual interest rate of 16.5% to a monthly interest rate:
r = 0.165 / 12
= 0.01375
Next, we need to calculate the total number of payments over two years:
n = 2 * 12
= 24
Now we can plug in the values into the formula:
[tex]PMT = 3500 * 0.01375 / (1 - (1 + 0.01375)^{-24}) = $168.62[/tex]
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a bag contains a collection of distinguishable marbles. the bag has two red marbles, four green ones, one lavender one, six yellows, and five orange marbles. hint [see example 7.] how many sets of four marbles include exactly two green marbles? (note that this means there must be two other non-green marbles as well).
Therefore, the total number of sets of four marbles, including exactly two green marbles, is 720.
The given bag contains a total of [tex](2+4+1+6+5)=18[/tex] marbles.
There are two possibilities of selecting two green marbles and the other two marbles in a set, as shown below;GG -- NN (No Green Marbles)GG -- RR (No Green Marbles)GG -- YY (No Green Marbles)GG -- OO (No Green Marbles)GG -- GL (Lavender)GG -- RG (Red)GG -- OG (Orange)
The first two options have no green marbles; thus, they are eliminated. We can select non-green marbles in C(16,2) = 120 ways, then multiply by C(4,2) = 6 to choose two green marbles out of four.So, the total number of such sets is
[tex]120 × 6 = <<120*6=720>>720.[/tex]
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what is the measure of angle 1 in degrees?
Answer:
39°
Step-by-step explanation:
angles are alternate exterior angles making them congruent
for example:
Two square pyramids are joined at their bases.
Each base is 28 cm long. The distance between the
vertices of the combined pyramids is 21 cm. What
is the volume of the solid formed?
The volume of the solid formed using square pyramids are joined at their bases is 5,487.3 unit ².
Using the formula for the volume of a square pyramid, find the volume and then multiply it by two since there are two square pyramids.
Let V be the volume of the solid formed.
⇒ volume of the solid formed - V = 2 ( [tex]\frac{1}{3} *B*h[/tex] )
Now substitute the values,
⇒V = 2 ( [tex]\frac{1}{3}[/tex] * [tex]28^{2}[/tex] * 10.5 )
⇒V = 2 ( [tex]\frac{1}{3}[/tex] * 784 * 10.5 )
⇒V = 2 ( 261.3 * 10.5 )
⇒V = 2 ( 2,743.65 )
⇒V = 5,487.3 unit ²
Therefore, the volume of the solid formed using square pyramids are joined at their bases is 5,487.3 unit ².
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adult men have an average height of 69.0 inches with a standard deviation of 2.8 inches. find the height of a man with a z-score of . round your answer to one decimal place.
The height of a man with a z-score of 0 is 69 inches.
The average height of adult men = 69.0 inches, Standard deviation of adult men = 2.8 inches to find the Z-score the following formula is used:
z = (x- μ)/σ where z is the z-score, x is the value to be standardized, μ is mean and σ is the standard deviation.
To find the height of a man with a z-score of Standardized value(z) = 0
z = (x - μ)/σ
0 = (x - 69)/2.8
x = 69 + 0 (2.8)
x = 69 inches.
Therefore, the height of a man with a z-score of 0 is 69 inches.
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the physician orders digoxin tablets 187.5 mcg po daily for the patient. how many tablets will the nurse give to the patient? enter only the numeral (not the unit of measurement) in your answer.
The nurse will give the patient one tablet of digoxin per day. Each tablet contains 187.5 mcg, so one tablet is the correct dose for the patient.
As per given information,
Patient's daily dose is 187.5 mcg.
Here we have to calculate the number of tablets the nurse will give the patient, use the following formula:
To get the number of tablets,
We have to divide the Patient's daily dose (mcg) by tablet dose (mcg).
Plugging in the numbers from the patient's prescription, we get:
Number of tablets = 187.5 mcg / 187.5 mcg
By simplifying these we get:
Number of tablets = 1
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You have been keeping track of the outside temperature for a class project.
At noon, the temperature was 80°F
.
At 5:00
p.m., the temperature was 64°F
.
What was the percent change between the temperature at noon and the temperature at 5:00
p.m.?
Answer:
20%
Step-by-step explanation:
80 - 64 = 16
16 ÷ 80 = 0.2
0.2 × 100 = 20%
24÷4=6
24
÷
4
=
6
can be thought of as 24
24
broken into 4
4
groups of 6
6
each
The equation 24÷4=6 can be thought of as 24 broken into 4 groups of 6 each. This can be shown mathematically as follows: 24/4 = 6.
The division 24 ÷ 4 = 6 can be represented as 24 divided into 4 groups of 6 each. Therefore, each group contains 6 elements.
Another way to represent this division is by using a division box. In this case, 24 is the dividend, 4 is the divisor, and 6 is the quotient. Here's how to write it in the division box format:``` 6|24----4```The divisor is outside the division box, while the dividend is inside the division box. Then, we divide 24 by 4 to obtain 6. Therefore, 24 ÷ 4 = 6.
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Prove that the conditional "All dodecagons must have eleven sides" is false by a counterexample.
All dodecagons must have eleven sides is false and and can be proven through a counter example.
What are dodecagons?
A dodecagons is a polygon which has 12 sides, 12 vertices. In this word do means "Two" and deca means "Ten".
Similar to other polygons, a dodecagon is also a two-dimensional plane figure. A regular dodecagon polygon has 12 equal sides and has 12 equal measures of angles. Irregular dodecagons have unequal sides and angles. Also, a dodecagon can be a convex polygon or concave polygon.
What is a Polygon?
In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges.
So a dodecagon must have twelve sides even though it may be regular or irregular.
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Ricardo throws a stone off a bridge into a river below.
The stone's height (in meters above the water), x seconds after Ricardo threw it, is modeled by
w ( x ) = − 5 ( x − 8 ) ( x + 4 )
How many seconds after being thrown will the stone reach its maximum height?
Therefore , the solution of the given problem of equation comes out to be the stone will reach its maximum height 2 seconds after being thrown.
What is an equation?Variable words are widely used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic figures. Think about the information that y + 7 provides. When paired with construct y + 7, elevating results in b + 7 in this circumstance rather than another method that may divide 12 equal two halves.
Here,
The height of the stone above the water is given by the function:
=> w(x) = -5(x-8)(x+4)
To find the time when the stone reaches its maximum height, we need to find the vertex of the parabola that represents this function. We can do this by using the formula:
=> x = -b / 2a
where a = -5 and b = -5(8+(-4)) = -20.
Substituting these values into the formula, we get:
=> x = -(-20) / 2(-5) = 2
Therefore, the stone will reach its maximum height 2 seconds after being thrown.
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if you have to choose a complete meal from one of 3 meats, one of 4 vegetables, and one of 7 desserts, how many different choices are there? question 17 options:
3 meats x 4 vegetables x 7 desserts = 84 choices.
There are 84 different choices for a complete meal from the given options. To calculate this, use the formula: number of choices
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You want to cover a circular window with tinted paper. The window has a radius of 6 inches. How many square inches of tinted paper will you need to use to cover the window
Answer:113.04 in squared
Step-by-step explanation: a=3.14Rsquared
A=3.14 x 6squared 6 x 6=36
A=3.14 x 36
3.14 x 36 = 113.04 inches squared or 113 inches squared
To cover the circular window, you will require a piece of tinted paper measuring approximately 113 in²
The area of the circular window can be found using the formula for the area of a circle:
A = πr²
where A is the area of the circle, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle.
In this case, the radius is given as 6 inches, so we can substitute that value into the formula:
A = π (6 inches)²
A = π (36 square inches)
A ≈ 113.04 square inches
Rounding to the nearest tenth gives:
A ≈ 113 square inches
Therefore, you will need approximately 113 square inches of tinted paper to cover the circular window.
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The measures of the angles of a triangle are shown in the figure be
45°
106⁰
C
Search
(2x-9)°
PLS HURRY !!
an online buying club offers a membership for $245, for which you will receive a discount of 10 percent on all brand-name items you purchase. how much would you have to buy to cover the cost of the membership?
You would have $2,450 to buy to cover the cost of the membership.
An online buying club offers a membership for $245, for which you will receive a discount of 10 percent on all brand-name items you purchase.
We have to determine how much you would have to buy to cover the cost of the membership.
You have to buy to cover the cost of the membership = An online buying club offers a membership/Receive a discount
You have to buy to cover the cost of the membership = $245/10%
You have to buy to cover the cost of the membership = $245/0.10
You have to buy to cover the cost of the membership = $2,450
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LANGUAGE ARTS On Monday, 86 science fiction books were sold at a book sale. This is 8 more than twice the amount sold on Thursday. How many science fiction books were sold on Thursday?
In conclusion 39 science fiction books were sold on Thursday.
How to solve and what does algebra mean?
Let's use algebra to solve this problem. Let x be the number of science fiction books sold on Thursday. Then we know that:
86 = 8 + 2x
We can solve for x by first subtracting 8 from both sides:
78 = 2x
Then dividing both sides by 2:
x = 39
Therefore, 39 science fiction books were sold on Thursday.
Algebra is a branch of mathematics that deals with the study of symbols and the rules for manipulating those symbols. It involves using letters and other symbols to represent variables and quantities in equations and formulas.
Algebra is used in a wide range of fields, including mathematics, science, engineering, and economics, and it is an essential tool for solving many real-world problems.
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the pharmacy sends the nurse the following coreg tablets. the order is to administer 9.375 mg po daily. how many tablets will the nurse administer? enter only the numeral (not the unit of measurement) in your answer.
The nurse will administer 3 tablets of Coreg to meet the prescribed dosage of 9.375 mg PO daily.
The prescription order is for the nurse to administer 9.375mg of Coreg tablets orally each day. The Coreg tablets have a dosage strength of 3.125mg per tablet. To calculate the number of tablets the nurse needs to administer, we can divide the total dosage needed (9.375mg) by the dosage strength per tablet (3.125mg per tablet).
This results in the nurse administering 3 tablets to meet the prescribed dosage. Therefore, the nurse should give 3 tablets of Coreg to the patient each day to ensure they receive the correct amount of medication.
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The given question is incomplete, the complete question is:
the pharmacy sends the nurse the following coreg tablets. the order is to administer 9.375 mg po daily. how many tablets will the nurse administer? enter only the numeral (not the unit of measurement) in your answer.
Pls help! It's my homework.
a) The radius of the circle is r = 18 cm, b) angle AOC is a right angle, which is π/2 radians, c) the area of the shaded region is 125.66 cm², d) the perimeter of the shaded region is 57.85 cm.
Describe Circle?A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are at a constant distance from a given point in the plane, called the center of the circle. The distance between the center of the circle and any point on the circle is called the radius of the circle. Alternatively, the diameter of a circle is the distance across the circle passing through the center, and it is twice the length of the radius.
A circle has several important properties, including:
Circumference: The circumference of a circle is the distance around its outer edge. It is calculated using the formula C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.
Area: The area of a circle is the amount of space inside its boundary. It is calculated using the formula A = πr², where π (pi) is the mathematical constant approximately equal to 3.14 and r is the radius of the circle.
a) To find the radius r, we can use the Pythagorean theorem to solve for the length of segment OP, which is the height of the rectangle:
OP² + AP² = OA²
OP² + 6² = r²
OP² = r² - 6²
We can also use the fact that AC is a diameter of the circle to find the length of segment OC:
AC = 2r
36 = 2r
r = 18
Substituting this value into the equation for OP² gives:
OP² = 18² - 6²
OP² = 300
OP = 10√3
Therefore, the radius of the circle is r = 18 cm.
b) Angle AOC is a central angle of the circle that intercepts segment AC. Since AC is a diameter, angle AOC is a right angle, which is π/2 radians.
c) The shaded region is the difference between the area of segment ABC and the area of triangle AOC. The area of segment ABC is equal to the area of sector AOC minus the area of triangle AOC. The area of sector AOC is:
(1/2) r² angle AOC
Substituting r = 18 cm and angle AOC = π/2 radians gives:
(1/2) (18)² (π/2) = 81π
The area of triangle AOC is:
(1/2) OA OC sin AOC
Substituting OA = OC = r = 18 cm and AOC = π/2 radians gives:
(1/2) (18)(18) sin(π/2) = 162
Therefore, the area of the shaded region is:
81π - 162 ≈ 125.66 cm²
d) The perimeter of the shaded region is the sum of the lengths of segments AB, BC, and the arc of the circle between A and C. To find the length of the arc, we can use the formula for the length of an arc of a circle:
length of arc = radius x central angle
Substituting r = 18 cm and angle AOC = π/2 radians gives:
length of arc = 18 x (π/2) = 9π
Therefore, the perimeter of the shaded region is:
AB + BC + length of arc = 36 + 2(6) + 9π ≈ 57.85 cm.
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What is the pattern 6 1 8 4 2 7 answer i don’t understand this is sposed be for kindergarten and tell me how you know the answer
There is no specific number pattern for the sequence { 6, 1, 8,4, 2, 7} but to determine the next term of sequence we can use the following patterns
1) for even place terms pattern is
aₙ = aₙ₋₂ + 3.
2) for odd place terms pattern is first aₙ
= aₙ₋₂ + 2 and for next aₙ₊₂ = aₙ - 6, where n is odd number.
A pattern is a series or sequence of repetitions. A number pattern is a series of numbers that follow a specific order in mathematics. Patterns usually describe inverse relationships between numbers.
A sequence of numbers can also be called a pattern. The types of number patterns are classified as
arithmetic sequencegeometric sequenceWe need to write a pattern for 6, 1, 8, 4, 2, 7. Now the sequence is 6, 1, 8, 4, 2, 7,
First term = 6
Second term = 1
Break this sequence down into odd and even terms or enteries. The order of odd entries is 6,8,2,.. So the pattern here is 2 and -6, i.e. 7ᵗʰ entry = 2 + 2 = 4 and 9ᵗʰ entry = 4+ 6 = 10 and so on. Now for Evan's bit term, 1,4,7,.. The pattern here is aₙ = aₙ₋₂ + 3. where n is an even number. So the entire sequence has no pattern, but the odd and even elements can be determined by different patterns.
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You walked 3/4 mile, and you ran 7/10 mile. How much farther did you walk than run?
Answer:
1/20
Step-by-step explanation:
because you turn the denominators to 40, then subtract walk from run and you got your answer
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours?
The distance d between the train and the railroad marker can be expressed as:
d = 200 - 65h
where 200 represents the initial distance between the train and the marker, and 65h represents the distance the train has covered after h hours, assuming a constant speed of 65 miles per hour.
To find the time it will take for the distance between the train and the marker to be 4 miles apart, we can set d to 4 and solve for h:
4 = 200 - 65h
65h = 196
h = 196/65
So the equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart is:
200 - 65h = 4
or
65h = 196
or
h = 196/65
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.
Since the range of observed values is 1, which is less than two standard deviations away from 10, the observed value is not significantly different from the expected value and thus the number of girls in 10 births is not significantly low.
What is standard deviation?Standard deviation is a measure of how spread out numbers are in a data set. It is calculated by taking the square root of the variance. Variance is the average of the squared differences from the mean. Standard deviation provides an indication of how much variation there is in the data set, and is often used in statistical analysis.
The range rule of thumb is a statistical method used to determine whether a given phenomenon is significantly different from an expected value. It states that if the range of observed values is greater than two standard deviations of the expected value, then the observed values are significantly different from the expected value.
In this particular case, the expected value is 10 girls in 10 births, and the observed value is 1 girl in 10 births. Since the range of observed values is 1, which is less than two standard deviations away from 10, the observed value is not significantly different from the expected value and thus the number of girls in 10 births is not significantly low.
The range rule of thumb is one way to determine whether observed values are significantly different from expected values, but there are other methods available as well.
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Triangle DEF has vertices at D(−3, 5), E(−10, 4), and F(−11, 8). Triangle D′E′F′ is the image of triangle DEF after a reflection. Determine the line of reflection if E′ is located at (10, 4).
y = −4
x = 10
y-axis
x-axis
The line of reflection is the y-axis
What is Reflection:Reflection is a geometric transformation that involves flipping an object over a line or a plane, creating a mirror image of the original object.
When a figure or polygon is reflected over the y-axis, it means that each point in the original figure is moved to a new point with the same y-coordinate but a negated x-coordinate.
Here we have
Triangle DEF has vertices at D(−3, 5), E(−10, 4), and F(−11, 8).
Triangle D′E′F′ is the image of triangle DEF after a reflection.
After reflection, the vertice E′ is located at (10, 4).
Here the x-coordinate of E, − 10 is changed to 10
As we know when the figure is reflected over the y-axis the sign of the x coordinate will be changes
Hence,
The line of reflection is the y-axis
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Can someone pls help me (you are the best)
The answer is x=6x +2
what is the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud?
There is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.
To find the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud, we need to use the formula for the margin of error:
[tex]$$E = z_{\alpha/2}\sqrt{\frac{p(1-p)}{n}}$$[/tex]
where E is the margin of error, [tex]$z_{\alpha/2}$[/tex] is the critical value for the desired confidence level (let's assume 95%, so [tex]$z_{\alpha/2} = 1.96$[/tex]), p is the population proportion of websites experiencing click fraud, and n is the sample size.
We know that p=0.15, so we can plug in the values:
[tex]$$E = 1.96\sqrt{\frac{0.15(1-0.15)}{400}} = 0.05$$[/tex]
So the margin of error is 0.05. This means that there is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.
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Mrs Smith paid 13 450.00 for a couch after a 25% discount. What was the
original price of the couch?
Answer:
The price was originally 16,812.00
Step-by-step explanation:
25% of 13,450 is 3,362.50.