The probability that a customer who visited any of the three website designs made a purchase is 4.5%.
To find the probability that a customer who visited any of the three website designs made a purchase, we need to find the average probability of purchase across all three designs.
We can do this by taking the mean of the three probabilities:
Mean probability = (4.5% + 5.2% + 3.8%) / 3
= 13.5% / 3
= 4.5%
This assumes that the customers were randomly assigned to each design and that there were no other factors that may have influenced their purchasing behavior. Additionally, the sample size and duration of the experiment may also affect the accuracy of the results.
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Find the square root of 1681
Answer: The square root of 1681 is 41.
Answer:
41
Step-by-step explanation:
It is 41
41 * 41 = 1681
41 ^ 2 = 1681
If I save 300 a week how much will I have at the end of the year?
15,653 much will I have at the end of the year in linear equation.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with power 1 variables are known as linear equations. axe+b = 0 is a one-variable example in which a and b are real numbers and x is the variable.
Earning $300 a week equals $15,587 a year. This result is obtained by multiplying the base salary by the number of hours, weeks, and months worked in a year, assuming a 40-hour work week.
15,653 much will I have at the end of the year in.
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HELP ME PLEASEEEE The matrix below represents a system of equations.
Which matrix represents the solution to this system of equations?
The matrix that represents the solution to this system of equations is
1 0 0 2
0 1 0 -4
0 0 1 3
Therefore option B is correct.
What is a matrix in mathematics?A matrix is described as a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
We solve a matrix by Arranging the elements of equations in matrices and find the coefficient matrix, variable matrix, and constant matrix.
We then go ahead to write the equations in AX = B form.
we then take the inverse of A by finding the adjoint and determinant of A. Multiply the inverse of A to matrix B, thereby finding the value of variable matrix X.
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Find the principal needed now to get the given amount; that is, find the present value.
To get $100 after 3 years at 9% compounded quarterly
The present value of $100 is $
(Round to the nearest cent as needed.)
The present value of $100 to be received after 3 years at 9% compounded quarterly is $73.67.
The formula for the present value of a future amount under quarterly compounding is:
PV = FV / (1 + r/4)⁴ⁿ
where PV is the present value,
FV is the future value, r is the interest rate per year, and n is the number of years.
In this case, FV = $100, r = 0.09 (9%), n = 3 years, and the interest is compounded quarterly
so the interest rate per quarter is r/4 = 0.0225.
Plugging these values into the formula, we get:
PV = $100 / (1 + 0.0225)¹² = $73.67
Therefore, the present value of $100 to be received after 3 years at 9% compounded quarterly is $73.67.
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Water is leaking out of an inverted conical tank at a rate of 11500.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 9.0 m and the the diameter at the top is 4.5 m. If the water level is rising at a rate of 21.0 cm/min when the height of the water is 2.0 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
water is being pumped into the tank at a rate of 23.7 cm³/min.we can take the derivative of the volume formula with respect to time and solve it
what is derivative ?
In mathematics, a derivative is a measure of how much a function changes as its input value changes. More specifically, the derivative of a function is defined as the rate of change of the function at a particular point.
In the given question,
We can solve this problem using related rates, where we relate the rate of change of one variable to the rate of change of another variable.
Let's denote the height of the water in the tank by h, and the radius of the water surface by r. Then, we can use the formula for the volume of a cone to relate these variables:
V = (1/3)πr²h
We are given that the tank has height 9.0 m and diameter (and thus radius) 4.5 m at the top. We can use this information to find the relationship between h and r:
r = (1/2) × diameter = 2.25 m
h = 9.0 m - 2.0 m = 7.0 m
Now, we can take the derivative of the volume formula with respect to time:
dV/dt = (1/3)π(2r(dr/dt) + r²(dh/dt))
We want to find the rate at which water is being pumped into the tank, which is the rate of change of the volume with respect to time when the water level is rising at a rate of 21.0 cm/min. We are also given that water is leaking out of the tank at a rate of 11500.0 cm^3/min, so we can set these rates of change equal to each other:
dV/dt = (21.0 cm/min) × (1 m/100 cm)³ = 0.021 m³/min
11500.0 cm³/min = 11.5 × (1 m/100 cm)³ m³/min
Substituting these values and the values we found for r and h into the derivative formula, we get:
0.021 m³/min = (1/3)π(2(2.25 m)(dr/dt) + (2.25 m)²(11500.0 cm³/min)/(100 cm/m)³)
Simplifying and solving for dr/dt, we get:
dr/dt = [(0.021 m³/min) - (1/3)π(2(2.25 m)(11500.0 cm³/min)/(100 cm/m)³)] ÷ [(1/3)π(2(2.25 m))]
= 0.0237 m/min = 23.7 cm/min
Therefore, water is being pumped into the tank at a rate of 23.7 cm³/min.
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You want to determine the number of students in your school who have visited a public library. You survey 30 students at random. Twenty-four have visited a public library, and six have not. So, you conclude that 80% of the students in your school have visited a public library.
Determine whether the conclusion is valid
Answer: e
Step-by-step explanation:
Answer:Valid
Step-by-step explanation:
Need help with these!!
The decimal used to figure the price of their clothing is 2.1
The improvement in Larry's test score written as a decimal is 1.52
How to write in decimals?Markup = 210%
= 210/100
= 21/10
= 2.1
Larry's increased test score percentage = 152%
= 152/100
= 1.52
In conclusion, the price of clothing and Larry's test score in decimals is 2.1 and 1.52 respectively.
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Help please!!!!
Whoever answers right gets brainliest!
1. Rachel has $60 to spend
on lunches this week. On
Monday she spent $5, and
on Tuesday she spent $7.
Which inequality can be
used to find, x, the amount
of money she can spend
the rest of the week?
Solve the radical equation.
√3x-2-√11+x= -1
Answer:
[tex]x = \frac{(1 + \sqrt{11})( \sqrt{3 } - 1) }{2 } [/tex]
3. Arthur's mother is a mechanical engineer. She is designing
rectangular carts formoving finished goods from a factory's
manufacturing floor to the loading dock, where the goods are placed
on trucks.
She made a drawing showing where the carts must turn from a
hallway 48 inches wide to pass through a doorway 36 inches wide.
The drawing shows the longest cart that will pass through the
doorway.
to manufacturing floor 30 in.
G
E.
to loading dock
B
D
a) What kind of triangles are AABC and ACFD?
cart
36 in.
48 in.
b) In the drawing, one sixth of an inch represents 1 foot. What is the
scale factor of the drawing? Explain.
a) is Right angle Triangles both of them
b) The scale factor is 1:2.
How to solveGiven AFD = 90 degrees, So CFD = 90 degrees.
So it a Right Angle Triangle.
Again ABC = 90 degrees, It's also a Right Angle Triangle.
Here see both the Triangle are opposite to each other so according to the theorem sum of all three angles of a triangle is 180 degrees
so if any angle is 90 deg then the other two sum is also 90 deg.
Given the scale Factor, 1/6 inch = 1 foot,
So it is a Reducing Scale so let 'x' be in inches
So the Scale Factor = 1:2
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Select the correct answer from each drop-down men
menu.
What is the distance and midpoint between points D and E on the number line?
D
E
-4 -3 -2 -1 0 1 2 3 4 5
distance =
midpoint =
Reset
Next
The midpoint is M = 0.6 and the distance is D = 4.2
Given data ,
The distance between points D and E on the number line
D = 4.2
Now , the first point D = -1.8
And , the point E = 2.4
And , the distance D = 2.4 - 1.8 = 4.2 units
Thus, the midpoint between points D and E on the number line = 0.6
Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6
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The complete question is attached below :
What is the distance and midpoint between points D and E on the number line?
if you have the answer please reply im having trouble need the steps.
Over a given period of time, Seth sold more water bottles than Hayden.
To compare the number of water bottles sold by Seth and Hayden, we need to find out the equation for Seth's sales rate. Looking at the graph, we can see that Seth sold 10 bottles on day 1, 20 bottles on day 2, 30 bottles on day 3, and 40 bottles on day 4.
We can find the average daily sales rate for Seth by dividing the total bottles sold by the number of days:
Average daily sales rate for Seth = (10+20+30+40)/4 = 25
The equation given for Hayden's sales rate is y = 11x, where y represents the number of bottles sold and x represents the number of days. This equation shows that Hayden sells 11 bottles per day.
Comparing the two sales rates, we can see that Seth sold more water bottles. On average, Seth sold 25 bottles per day, while Hayden sold only 11 bottles per day. Therefore, over a given period of time, Seth sold more water bottles than Hayden.
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I can’t figure out what is correct to get about 8
Step-by-step explanation:
Going down the list :
8.98 rounds to 9
6.64 rounds to 7
7.03 rounds to 7
8.52 rounds to 9
7.59 rounds to 8
If the first number past the decimal point >= 5 round the units up
o/w leave the units as they are
Is the following function even, odd, or neither? f(x)=x^4-2x^2
The given function, f(x) = x⁴ - 2x², is even function.
What is the function?The nature of the function, whether it is even or odd can be determined by applying the following rules.
Even function, f(x) = f(-x)
Odd function; f(x) = -f(-x)
The given function, f(x) = x⁴ - 2x²
Test of for even function;
f(-x) = (-x)⁴ - 2(-x)²
f(-x) = x⁴ - 2x²
so f(x) = f(-x), the function is even.
Test for odd function;
-f(-x) = - [(-x)⁴ - 2(-x)²]
-f(-x) = -x⁴ + 2x²
so, f(x) ≠ -f(-x), the function is not odd.
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i need help with this math problem if anyone can help within the next 5-30m that would be great!
Answer:
2 1/3
Step-by-step explanation:
add then multiplying to the nearest one.
In circle
V
V,
V
W
=
2
VW=2 and the length of
⌢
=
2
9
π
WX
⌢
=
9
2
π. Find m
∠
W
V
X
∠WVX.
Answer:
Step-by-step explanation:
In a circle, the measure of an inscribed angle is equal to half the measure of its intercepted arc. In this case, the inscribed angle is ∠WVX and its intercepted arc is ⌢WX.
Since the length of ⌢WX is (9/2)π, its measure in degrees is (9/2)π * (180/π) = 810/2 = 405 degrees.
Therefore, the measure of ∠WVX is half the measure of its intercepted arc, which is 405/2 = 202.5 degrees.
14. Jill tossed a coin three times. Draw a tree diagram to represent the sample space.
Here is a tree diagram to represent the sample space of Jill tossing a coin three times:
H T
/ \ / \
H T H T
/ \ / \ / \ / \
H T H T H T H T
What is sample space?The concept of the sample space is fundamental to the calculation of probabilities because it defines the set of all possible outcomes that we are interested in measuring the likelihood of. By specifying the sample space, we can define events (subsets of the sample space) and assign probabilities to those events.
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blank g = blank kg =3/10kg
It should be noted that 3/10 kg to grams will be 300 grams.
How to convert the valueTo convert 3/10 kg to grams (g), we can use the following conversion factor:
1 kg = 1000 g
Therefore:
3/10 kg = (3/10) x 1000 g = 300 g
Hence, 3/10 kg is equal to 300 grams (g).
In conclusion, it should be noted that 3/10 kg to grams will be 300 grams.
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Ava uses a total of 72 bead. without dividing, how can you know if she made an even number of bracelets?
To check if the total number of beads used in each bracelet is even, we need to find out if the sum of the digits in the number 72 is even or odd.
How to know number of bracelets madeIf Ava made an even number of bracelets using the 72 beads, then the total number of beads used in each bracelet must be an even number.
One way to check if the total number of beads used in each bracelet is even is to find out if the sum of the digits in the number 72 is even or odd. If the sum of the digits is even, then it is possible that Ava made an even number of bracelets. If the sum of the digits is odd, then it is not possible that Ava made an even number of bracelets.
The sum of the digits in 72 is 7 + 2 = 9, which is an odd number. Therefore, it is not possible for Ava to have made an even number of bracelets using the 72 beads, without dividing the beads.
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(x^2-1)^3=64(X^2-1)^2
Answer:
x = ±1, ±√65
Step-by-step explanation:
You want the solution to (x² -1)³ = 64(x² -1)².
SolutionSubtracting the right side, we have ...
(x² -1)³ -64(x² -1) = 0
(x² -1)²(x² -1 -64) = 0
Zero product ruleThe solutions make the factors zero:
x² -1 = 0 ⇒ x = ±1
x² -65 = 0 ⇒ x = ±√65
Solutions are x = ±1 and x = ±√65.
__
Additional comment
The solutions ±1 are each multiplicity 2.
Suppose that you are taking a course that has 4 tests. The first three tests are each worth 20% of your final grade, and the fourth test is worth 40% of the final grade. To get a B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 63.5 %, 76 %, and 87 %. What is the minimum score you need on the fourth test to get a B for the course?. Don't round your answer.
Answer:
86.75
Step-by-step explanation:
Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.
Course gradeThe grade for the course, with fourth test score x, will be ...
0.20(63.5 +76 +87) +0.40x = 80
0.40x +45.3 = 80
Solving for x, we get ...
0.40x = 34.7 . . . . subtract 45.3
x = 86.75 . . . . . . . divide by 0.4
The minimum score you need on the fourth test is 86.75.
<95141404393>
find x, y, and z
will give brainly
Answers:
[tex]z=12\sqrt{3} \\y=12\\x=12\sqrt2[/tex]
[tex]8 : 1/3\\[/tex]8 : 1/3
The ratio of 8 : 1/3 is equivalent to the simplified ratio of 24 : 1.
How to simplify the ratio?To analyze and describe the ratio 8 : 1/3, we need to convert the fraction to a ratio with a whole number. One way to do this is to express the fraction as a ratio with a denominator of 3:
1/3 = 1:3
Now we can rewrite the ratio 8 : 1/3 as:
8 : 1:3
We can simplify this ratio by multiplying both terms by 3 to get rid of the fractional term:
8 × 3 : 1:3 × 3
24 : 1
Therefore, the ratio 8 : 1/3 is equivalent to the simplified ratio 24 : 1. This means that for every unit in the second part of the ratio, there are 24 units in the first part of the ratio. In other words, the first part of the ratio is 24 times larger than the second part.
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Find the sine, cosine, and the tangent of the acute angle A of the triangle. Express each answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
sina=12/20=0.6
cosa=16/20=0.8
tana=0.6/0.8=0.75
what is 2x to the power of 2
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2x^2 = (2 x 2) x (2 x 2)
= 4 x 4
= 16
I hope this helps you
Point F is at [-10, 12] and point G is at [18, 12]
The midpoint of the line segment FG is the point (4, 12).
What is midpoint?In geometry, the midpoint of a line segment is the point that is exactly halfway between the endpoints of the segment. It is the point that divides the segment into two congruent segments.
The formula for finding the midpoint of a line segment with end points (x₁, y₁) and (x₂, y₂) is:
Midpoint = [(x₁ + x₂)÷2, (y₁ + y₂)÷2]
So, the midpoint of the line segment with endpoints F(-10, 12) and G(18, 12) can be found as:
Midpoint = [(-10 + 18)÷2, (12 + 12)÷2]
= [8÷2, 24÷2]
= [4, 12]
Therefore, the midpoint of the line segment FG is the point (4, 12).
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A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
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100 Points! Algebra question. Please show as much work as possible. Thank you!
The first term a₁ of the geometric series is equal to 121.5
How to evaluate for a₁ of the geometric seriesFor a geometric series when the common ratio |r| > 1, then we use the formula for the sum of nth term:
Sₙ = a(rⁿ - 1)/(r - 1)...(1)
The nth term aₙ = arⁿ⁻¹
Thus for Sₙ = 4860 and aₙ = 3280.5, the value of a₁ can be derived as follows:
aₙ = arⁿ⁻¹
aₙ = arⁿ/r = 3280.5
rⁿ = a(r × 3280.5)/a
rⁿ = 9841.5/a
putting 9841.5/a for rⁿ in equation (1) we have;
Sₙ = a[(9841.5/a) - 1]/(r - 1)
Sₙ = (9841.5 - a)/(r - 1)
recall Sₙ = 4860 and r = 3 so;
(9841.5 - a)/2 = 4860
a = 9841.5 - 2(4860)
a = 121.5
Therefore, the first term a₁ of the geometric series is equal to 121.5
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Let
sin A = − 24/25
with A in QIII and find the following.
sin 2A
Answer:
sin(2A) = 2sin(A)cos(A)
To find cos(A), we can use the Pythagorean theorem:
sin^2(A) + cos^2(A) = 1
cos^2(A) = 1 - sin^2(A)
cos(A) = -√(1 - sin^2(A)) (since A is in QIII, cos(A) is negative)
cos(A) = -√(1 - (-24/25)^2) = -7/25
Now we can substitute into the double angle formula:
sin(2A) = 2sin(A)cos(A)
sin(2A) = 2(-24/25)(-7/25)
sin(2A) = 336/625
Therefore, sin(2A) = 336/625.
