The solution would be like this for this specific problem:
Given:
{0, 1, 2, 3, 4}
Success = 2, 3, and 4
Solution:
Success = 3 numbers
Sample = 5
= 3 / 5
= .6
= .6 * 100%
= 60%
So, the estimated probability of a success based from the randomly generated list of numbers being used to simulate an event is 60%.
To add, the measure of the likelihood that an event will occur is called probability and it is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty.
Which one of the numbers in the series is wrong, and should be replaced? 2 - 4 - 8 - 16 - 20 - 22 - 44 - 46?
The number series 2 - 4 - 8 - 16 - 20 - 22 - 44 - 46 has a pattern whereby each number doubles the previous number. However, 20 does not follow this pattern, and the correct number should be 32 (being double of 16). Therefore, 20 is the incorrect number in this series.
Explanation:This question is a query regarding a number series, specifically asking for us to identify any number that does not fit the pattern of the series. The series given is: 2 - 4 - 8 - 16 - 20 - 22 - 44 - 46. By examining the series closely, we can observe a clear pattern: each number is doubling the previous number. So, after 2 we have 4 (2x2), then 8 (4x2), then 16 (8x2) and so forth.
However, at the fifth place, we have the number 20, which doesn't follow this pattern. If we were to follow the established pattern, the fifth number should be 32 (16x2), not 20. Therefore, the incorrect number in this series is 20, and the correct series should be 2 - 4 - 8 - 16 - 32 - 22 - 44 - 46.
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The incorrect number in the series is 20, and it should be replaced with 32. The accurate sequence is 2, 4, 8, 16, 32, 64, 128, 256.
Let's examine the sequence: 2 - 4 - 8 - 16 - 20 - 22 - 44 - 46.
At a glance, it appears each number is double its preceding number, except for a couple of deviations.
If we look at the pattern,
2 x 2 = 44 x 2 = 88 x 2 = 1616 x 2 = 32Here, we expect 32 instead of 20.
Therefore, 20 is the incorrect number in the series. When we continue correctly:
The correct sequence would be,
2 - 4 - 8 - 16 - 32 - 64 - 128 - 256.
So, the number that should be replaced is 20, and it should be 32.
The graph below shows the value of Edna's profits f(t), in dollars, after t months:
graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0, vertex at 12, negative 36, and passes through point 21, 41.25
What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
a. Three dollars per month
b. Nine dollars per month
c. 13.75 dollars per month
d. 41.25 dollars per month
Answer:
C) 13.75 dollars per month
Step-by-step explanation:
i took the test and got it right
Four times the difference of a number and seven is 12
4(x-7)=12=
4x-28=12
add 28 to both sides
4x=40
x =40/4 = 10
x = 10
An extension ladder leans agintst a biulding, making a 75 degree angle of elevation with the ground. The base of the ladder is 8 ft from the base of the building.
To the nearest tenth of a foot, how long is the ladder?
The ladder is 29.9 feet long.
For solving this problem we have to use trigonometric ratio
We need to use the tangent function:
What is the ratio of tangent function?
[tex]tan (\theta) = opposite/adjacent[/tex]
[tex]tan 75 = opposite/8[/tex]
multiply both side by 8 so we will get,
Here, the opposite side is the length of the ladder and angle [tex]\theta =75^0[/tex]
Therefore by using the tan ratio we have,
[tex]8 * tan 75 = opposite[/tex]
[tex]29.8564065 = opposite[/tex]
Therefore, the ladder is 29.9 feet.
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All of the following are equivalent except _____.
x - (-2)
-2 + x
x - 2
x + (-2)
A.
Its correct i got 100% on a test
True or False
The geometric mean of 8 and 2 is 4.
TRUE IVE GOT IT WRONG ON MY ASSIGNMENT.
Answer:
True
Step-by-step explanation:
To find the geometric men you have to cross multiply the two given numbers and then find x squared for those numbers. So to find x squared you have to find the square root of the product from the two multiplied numbers.
8/x = x/2
8*2 = 16 = x squared
x= square root of 16 which equals 4
In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be? Check all that apply.
A. Square
B. Parallelogram
C. Rhombus
D. Rectangle
The answers are D:Rectangle, and B:Parallelogram
10(2y+2)−y=2(8y−8)
y= ???
(6u3 + 7u2 + 2) + (3u3 – 8u + 4)
Which situation involves descriptive statistics?
A) The food cans have a mean shelf life of 14 months.
B) The study estimates that 10% of the fish died as a result of the drought.
C) According to a poll, about 12% of our customers have returned at least one item. D) The sample indicates that the mean weight of all the boxes is 3.3 kg.
Answer:
The correct answer is:
A) The food cans have a mean shelf life of 14 months.
Just took this quiz and this was the correct answer.
Step-by-step explanation:
How many liters of a 25 percent saline solution must be added to 3 liters of a 10 percent saline solution to obtain a 15 percent saline solution?
Final answer:
To achieve a 15 percent saline solution by mixing a 10 percent solution with a 25 percent solution, we calculate that we need to add 1.5 liters of the 25 percent saline solution to the initial 3 liters of the 10 percent solution.
Explanation:
To solve the problem, we need to calculate how much of a 25 percent saline solution should be added to 3 liters of a 10 percent saline solution to get a 15 percent saline solution. We'll use the concept of the conservation of mass of the solute (NaCl) and set up an equation to find the required volume of the 25 percent solution.
Let V be the volume of the 25 percent solution we need to add. The amount of NaCl in the 10 percent solution is (0.10)(3 L), and the amount of NaCl in the 25 percent solution is (0.25)(V). The resulting solution has a concentration of 15 percent, so the amount of NaCl in the final solution will be (0.15)(3 L + V).
Now we set up our equation based on the mass of NaCl being equal before and after the addition of the 25 percent solution:
(0.10)(3 L) + (0.25)(V) = (0.15)(3 L + V)
Solving this equation:
0.30 + 0.25V = 0.45 + 0.15V
0.25V - 0.15V = 0.45 - 0.30
0.10V = 0.15
V = 0.15 / 0.10
V = 1.5 L
Therefore, 1.5 liters of a 25 percent saline solution must be added to the initial 3 liters of a 10 percent solution to obtain a 15 percent saline solution.
In the triangle below, what ratio represents cot θ?
Mx = Nx - Pt isolate x
The standard formula for the volume of a cylinder is V = πr2h. If the cylinder is scaled proportionally by a factor of k, its volume becomes V' = V × k3. Use your algebra skills to derive the steps that lead from V = πr2h to V' = V × k3 for a scaled cylinder. Show your work.
Answer:
The answer in the procedure
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
so
[tex]k=r'/r[/tex] and [tex]k=h'/h[/tex]
The volume of the original cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
If the cylinder is scaled proportionally by a factor of k
then
the new radius is ------> [tex]r'=kr[/tex]
the new height is ------> [tex]h'=kh[/tex]
The volume of the scaled cylinder is equal to
[tex]V'=\pi r'^{2}h'[/tex]
substitute the values
[tex]V'=\pi (kr)^{2}(kh)[/tex]
[tex]V'=(k^{3})\pi r^{2}h[/tex]
Remember that
[tex]V=\pi r^{2}h[/tex]
so
substitute
[tex]V'=V(k^{3})[/tex]
The volume of the scaled cylinder is equal to the scale factor elevated to the cube multiplied by the volume of the original cylinder
Which expression is equivalent to complex fraction 3/x-1-4/2-2/x-1
If 1,000 students take a test that has a mean of 40 minutes, a standard deviation of 8 minutes, and is normally distributed, how many would you expect would finish in less than 40 minutes?
Answer:
500
Step-by-step explanation:
It is expected that approximately 500 students would finish the test in less than 40 minutes.
To determine the number of students who would be expected to finish the test in less than 40 minutes, we can use the concept of the standard normal distribution and the z-score.
The z-score measures the number of standard deviations an individual data point is from the mean. In this case, we want to find the proportion of students who finish the test in less than 40 minutes, which corresponds to finding the area under the curve to the left of the mean.
Using the z-score formula:
z = (x - μ) / σ
where x is the value (40 minutes), μ is the mean (40 minutes), and σ is the standard deviation (8 minutes).
Substituting the values into the formula:
z = (40 - 40) / 8
z = 0
A z-score of 0 indicates that the value is exactly at the mean.
Since we are interested in the proportion of students finishing in less than 40 minutes, we need to find the area under the curve to the left of the mean, which is represented by a z-score of 0.
By referring to a standard normal distribution table or using a statistical software, we find that the proportion of students finishing in less than 40 minutes is approximately 0.5000.
To find the expected number of students, we multiply the proportion by the total number of students:
Expected number of students = 0.5000 * 1000 = 500
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The mean is defined as the
F r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?
What price do farmers get for the peach crops? in the third week of June, a random sample of 40 farming regions gave a sample mean of $6.88 per basket. assume that the standard deviation is known to be $1.92 per basket. find a 90% confidence interval for the population mean price per basket that farmers in this region get for their peach crop.
what is the circumference of a circle with a radius of 39
Simplify this problem please
A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00. If the collection contains 25 quarters, how many nickels can be in the collection?
The total number of nickels that can be collected is 17 and this can be determined by forming the inequality.
Given :
A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00.
The inequality can be formed in order to determine the total number of nickels that can be collected.
Let the total number of quarters be 'x' and the total number of nickels be 'y'. Then the inequality that represents the total number of quarters and nickels contained in the collection is at least 42 is given by:
x + y [tex]\geq[/tex] 42 --- (1)
The inequality that represents that the worth of the coins is at most $8 is given by:
0.25x + 0.5y [tex]\leq[/tex] 8 --- (2)
Now, according to the given data there are a total of 25 quarters in the collection, so, the number of nickels contained in the collection is:
x + y [tex]\geq[/tex] 42
25 + y [tex]\geq[/tex] 42
y [tex]\geq[/tex] 17
So, the total number of nickels that can be collected is 17.
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The collection can contain up to 35 nickels, given that it already includes 25 quarters and the total value does not exceed $8.00.
Explanation:To determine how many nickels can be in the collection, we must first calculate the total value of the 25 quarters. Since each quarter is worth 25 cents, we multiply 25 quarters by 25 cents to get 625 cents, which is $6.25. The maximum value of the entire collection is $8.00. Thus, we subtract $6.25 from $8.00 to find the remaining value that can be occupied by nickels, which is $1.75. Each nickel is worth 5 cents, so we divide $1.75 by 0.05 (5 cents) to find the maximum number of nickels. $1.75 divided by 0.05 equals 35. Therefore, the collection can contain up to 35 nickels.
For the graph y= 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences
Answer:
Parallel: [tex]m = 0[/tex] (Horizontal), Perpendicular: [tex]m = -\frac{1}{0}[/tex] (Vertical)
Step-by-step explanation:
The equation y = 1 is an horizontal straight line ([tex]y = 0\cdot x + 1[/tex]). The slope of a line parallel to it is [tex]m = 0[/tex]. The slope of line perpendicular to it is [tex]m = -\frac{1}{0}[/tex], since slope is represented by tangent function, which is undefined at [tex]\theta = \pm 0.5\pi[/tex].
To which graph does the point (2, 4) belong?
y ≥ x + 3
y ≥ −x + 8
y ≥ 4x − 5
y ≥ −2x + 9
Answer:
Option (3) is correct.
(2,4) belongs to y ≥ 4x - 5
Step-by-step explanation:
Given : the point (2,4)
We have to find the equation of graph to which the point (2,4) belongs.
We will substitute the point in the each given equation and for which the point satisfies will contain the point.
For 1) y ≥ x + 3
Put x = 2 and y = 4
⇒ 4 ≥ 2 + 3
⇒ 4 ≥ 5 (false)
For 2) y ≥ -x + 8
Put x = 2 and y = 4
⇒ 4 ≥ -2 + 8
⇒ 4 ≥ 6 (false)
For 3) y ≥ 4x - 5
Put x = 2 and y = 4
⇒ 4 ≥ 4(2) - 5 = 8 - 5
⇒ 4 ≥ 3 (true)
For 4) y ≥ -2x + 9
Put x = 2 and y = 4
⇒ 4 ≥ -4 + 9
⇒ 4 ≥ 5 (false)
Since, the point (2,4) satisfies only inequality y ≥ 4x - 5.
Thus, (2,4) belongs to y ≥ 4x - 5
geometry help! this is my 2nd to last question
NEED HELP PLEASE!!!!
The diameter of a hydrogen atom is about 5×10^-15 meter. Suppose 8.4×10^8 hydrogen atoms were arranged side by side in a straight line. Multiply these numbers to find the length of this line of atoms. What is the length in scientific notation?
Select one:
a. 4.2×10^−2 meter
b. 0.042 meter
c. 42×10^−3 meter
d. 4.2×10^−3meter
Answer:
I'm a few years late, lol, but um the answer is 42 x [tex]10^{-3}[/tex] meters
For all the people who still need the answer.
Step-by-step explanation:
5 x [tex]10^{-11}[/tex] and 8.4 x [tex]10^{8}[/tex]
5 x 8.4 = 42 (multiply like terms)
[tex]10^{-11}[/tex] + [tex]10^{8}[/tex] = [tex]10^{-3}[/tex] (add the exponents)
42 x [tex]10^{-3}[/tex]
The length in scientific notation is [tex]42\times10^{-7[/tex] meter.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].
Given that, the diameter of a hydrogen atom is about [tex]5\times10^{-15}[/tex] meter. Suppose 8.4×10⁸ hydrogen atoms were arranged side by side in a straight line.
Now, multiply the numbers
[tex]5\times10^{-15}[/tex]×8.4×10⁸
= [tex]42\times10^{-7[/tex] meter
Therefore, the length in scientific notation is [tex]42\times10^{-7[/tex] meter.
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Solve the linear equation:
3.4 + 2(9.7 – 4.8x) = 61.2
What shape will stay the same no matter how many degrees it is rotated?
Identify the reflection of the figure with vertices
Prove abcd is a parallelogram
Since both pairs of opposite sides of quadrilateral ABCD are parallel and equal, by definition, ABCD is a parallelogram.
Given that in quadrilateral ABCD, side AD is equal to side BC (AD = BC) and side AD is parallel to side BC (AD || BC), we can use these properties to prove that ABCD is a parallelogram.
Here is a step-by-step proof:
1. Definition of a parallelogram: A quadrilateral is a parallelogram if both pairs of opposite sides are parallel.
2. Given: AD = BC (opposite sides are equal) and AD || BC (opposite sides are parallel).
3. To Prove: AB || CD and AB = CD (the other pair of opposite sides are also parallel and equal).
4. Proof:
- Since AD = BC and AD || BC, we have one pair of opposite sides that are equal and parallel.
- In a quadrilateral, if one pair of opposite sides is equal and parallel, the quadrilateral is a parallelogram (This is a theorem in Euclidean geometry).
- Therefore, AB must be parallel to CD (AB || CD) because the opposite sides of a parallelogram are parallel by definition.
- Also, in a parallelogram, opposite sides are equal (another property of parallelograms), so we can conclude that AB = CD.
5. **Conclusion**: Since both pairs of opposite sides of quadrilateral ABCD are parallel and equal, by definition, ABCD is a parallelogram.
This logical sequence uses the properties of parallelograms and the given information to prove that ABCD must be a parallelogram.