Two events are dependent since the probability of getting a perfect square is affected by the fact that we already know that we got an even number.
Describe Probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. For example, the probability of rolling a 6 on a fair dice is 1/6, or approximately 0.167.
In probability theory, events are often expressed as sets of possible outcomes, and probabilities are calculated based on the number of outcomes in the event relative to the total number of possible outcomes. For example, the probability of rolling an even number on a fair dice is 3/6, or 0.5, because there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
Since the event E is the event of getting an even number, the possible outcomes are 2, 4, 6, or 8.
Out of these, only 4 is a perfect square. Therefore, P(S/E) = 1/4.
These two events are dependent since the probability of getting a perfect square is affected by the fact that we already know that we got an even number.
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convert to slope intercept form (y=mx+b)
What is the phase shift for equation: y= -3sin (4x - π/2) - 1
The phase shift for the given equation is π/8.
What is phase shift?In the study of waveforms and the transmission of signals, the phrase "phase shift" is frequently used. It speaks of the movement caused by two impulses as they spread over time. A signal processing device like an electronic amplifier or a low- or high-pass filter that applies specific operations to the signal and causes the output signal phase to change from its initial input signal phase can be the culprit behind this displacement.
The general form of a sinusoidal function is y = A sin(Bx - C) + D, where A is the amplitude, B is the frequency (and also related to the period T by T = 2π/B), C is the phase shift, and D is the vertical shift.
Comparing this form to the given equation y = -3sin(4x - π/2) - 1, we can see that the amplitude A is 3, the frequency B is 4, and the vertical shift D is -1. To find the phase shift C, we need to rearrange the equation to isolate the argument of the sine function:
y + 1 = -3sin(4x - π/2)
Dividing both sides by -3, we get:
(sin(4x - π/2)) / (-1/3) = -(y + 1) / 3
Recall that sin(θ - π/2) = cos(θ), so we can rewrite the argument of the sine function as:
4x - π/2 = 4(x - π/8)
Now, the equation becomes:
(sin[4(x - π/8)]) / (-1/3) = -(y + 1) / 3
Comparing this to the standard form y = A sin(Bx - C) + D, we can see that B = 4 and A/B = -1/3, so A = -4/3. Thus, we have:
y = (-4/3) sin[4(x - π/8)] - 1
The phase shift is the horizontal shift of the graph, which is given by C = π/8. Therefore, the phase shift for the given equation is π/8.
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An urn contains three red marbles, and six blue marbles. What is the probability of selecting at random, without replacement, two blue marbles?
show all steps
The probability of selecting at random, without replacement, two blue marbles is 5/12.
What is Probability ?
Probability is the measure of the likelihood or chance of an event occurring. It is a mathematical concept that is used to quantify uncertainty and provide a basis for making informed decisions in various fields such as science, engineering, economics, and finance.
To solve the problem, we first need to find the total number of marbles in the urn. Since there are 3 red marbles and 6 blue marbles, there are a total of 9 marbles.
The probability of selecting a blue marble on the first draw is 6/9, since there are 6 blue marbles out of 9 total marbles.
Since we are selecting without replacement, the number of marbles left in the urn changes after each draw. After the first blue marble is selected, there are only 5 blue marbles left out of a total of 8 marbles. Therefore, the probability of selecting a second blue marble is 5/8.
To find the probability of selecting two blue marbles, we multiply the probability of the first draw (6/9) by the probability of the second draw (5/8):
(6/9) x (5/8) = 30/72 = 5/12
Therefore, the probability of selecting at random, without replacement, two blue marbles is 5/12.
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The following information relates to a company selling 25000 pairs of shoes for a year; selling price per unit- GH¢40, purchase cost per unit- GH¢25, fixed cost is made up of salaries- GH¢100000, advertising- GH¢40000 and other fixed cost- GH¢100000. If a selling commission of GH¢2 per pair was introduced, how many pairs should be sold to earn an after-tax profit of GH¢12000 assuming a tax rate of 40%?
A. 25000units
B. 30000units
C. 20000units
D. 15000units
The number of pairs that should be sold to earn an after-tax profit of GH¢12,000 is approximately 25769, which is closest to option B, 30000 units.
What is profit?
Gain is the best definition of profit, particularly when it is attained by raising the price of goods so that customer spending exceeds producer expenses and a sizable return on investment is left. Profit is the amount of money that remains after costs and expenditures have been paid.
First, let's calculate the total revenue from selling 25,000 pairs of shoes:
Total revenue = selling price per unit * number of units sold
Total revenue = GH¢40 * 25,000
Total revenue = GH¢1,000,000
Next, let's calculate the total cost of producing and selling 25,000 pairs of shoes:
Total cost = (purchase cost per unit + fixed cost per unit) * number of units sold
Total cost = (GH¢25 + GH¢2 + (GH¢100000 + GH¢40000 + GH¢100000)/25000) * 25000
Total cost = (GH¢25 + GH¢2 + GH¢16) * 25000
Total cost = GH¢43 * 25000
Total cost = GH¢1,075,000
Now, we need to calculate the before-tax profit:
Before-tax profit = Total revenue - Total cost
Before-tax profit = GH¢1,000,000 - GH¢1,075,000
Before-tax profit = -GH¢75,000
Since the before-tax profit is negative, the company is making a loss. To make an after-tax profit of GH¢12,000, we need to add this amount to the before-tax profit and then adjust for the tax rate:
Before-tax profit + After-tax profit = Target profit
-GH¢75,000 + GH¢12,000 = Target profit
Target profit = -GH¢63,000
Adjusted Target profit = Target profit / (1 - tax rate)
Adjusted Target profit = -GH¢63,000 / (1 - 0.4)
Adjusted Target profit = -GH¢105,000
To make an adjusted target profit of GH¢105,000, we can use the following formula to calculate the number of units that need to be sold:
Number of units sold = (Fixed cost + Target profit) / (Selling price per unit - Purchase cost per unit - Selling commission per unit)
Number of units sold = (GH¢100,000 + GH¢40000 + GH¢100,000 - GH¢105,000) / (GH¢40 - GH¢25 - GH¢2)
Number of units sold = GH¢335,000 / GH¢13
Number of units sold ≈ 25769.23
Therefore, the number of pairs that should be sold to earn an after-tax profit of GH¢12,000 is approximately 25769, which is closest to option B, 30000 units.
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THIS IS CONFUSSING!!! Select all the expressions that equivalent to 2 5/8.
262.5%
2.36
42 / 16
26.25%
2.625%
Step-by-step explanation:
The answer is 262.5%
5/8=5÷8=0.625
2 5/8=2.625
2.625=262.5%
262.5% and 2.625
Steps:5/8=5÷8=0.625 then 2 5/8=2.625 then we get 2.625=262.5%
All we do here Is divide then round It to the nearest 1, 10, or 100.
What Is Divide?
Division Is separate or be separated into parts, and noun of division Is a wide divergence between two groups, typically producing tension or hostility.
What Is round?
Adjusting the digits (up or down) to make rough calculations easier.
Hope This Helps!
Calculate the area of the figure below using the following information:
Area of triangle ABC = 23.85 square units
Area of triangle ACD = 29.4 square units
Area of triangle AED = 26.25 square units
The area of the given polygon ABCDE divided into three triangles ABC, ACD and AED is 79.5 sq. units.
What is a polygon?
A polygon is a closed figure or shape formed using line segments. Smallest polygon is a triangle containing three sides. On the basis of its sides polygons are classified as triangle, quadrilateral, pentagon, hexagon, heptagon, octagon etc. The sum of interior angles of a polygon is found by the formula (n-2)180 , where 'n' refers to the number of sides in a polygon. The sum of exterior angles of any polygon is always equal to 360°. The area of any irregular or regular polygon may be evaluated by dividing the given shape into standard shapes like square, rectangle, triangle etc and then adding up the areas of all shapes.
Here the given pentagon ABCDE is further divided into three triangles,
ABC, ACD and AED
Also given the areas of triangles:
area of ΔABC = 23.85 sq. units
area of ΔACD = 29.40 sq. units
area of ΔAED = 26.25 sq. units
∴The area of given figure= Sum of the areas of ΔABC, ΔACD and ΔAED
=area of ΔABC+area of ΔACD+area of ΔAED
=23.85+ 29.40+26.25
=79.5 sq. units.
The area of the given figure is 79.5 sq. units
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Refer to the attached figure below for complete question.
Fingerprint analysis and blood grouping are features that do not change through the lifetime of an individual. Fingerprint features appear early in the development of a fetus, and blood types are determined by genetics. Therefore, each is considered an effective tool for identification of individuals. These characteristics are also of interest in the discipline of biological anthropology—a scientific discipline concerned with the biological and behavioral aspects of human beings. The relationship between these characteristics was the subject of a study conducted by biological anthropologists with a simple random sample of male students from a certain region with a large student population. Fingerprint patterns are generally classified as loops, whorls, and arches. The four principal blood types are designated as A, B, AB , and O. The table shows the distribution of fingerprint patterns and blood types for the sample. Expected counts are listed in parentheses. The anthropologists were interested in the possible association between the variables. Blood Type A B AB O Total Loops 66 (71.69) 99 (112.19) 35 (32.29) 101 (84.83) 301 Whorls 51 (47.16) 91 (73.80) 15 (21.24) 41 (55.80) 198 Arches 14 (12.15) 15 (19.01) 9 (5.47) 13 (14.37) 51 Total 131 205 59 155 550 (a) Is the test for an association in this case a chi-square test of independence, or a chi-square test of homogeneity? Justify your choice. 0 / 10000 Word Limit0 words written of 10000 allowed Question 2 (b) Identify the conditions for the chi-square inference procedure selected in part (a), and indicate whether the conditions are met. B) 1 / 10000 Word Limit Question 3 (c) The resulting chi-square test statistic from the appropriate test is approximately 18.930. What are the degrees of freedom and p -value of the test? 0 / 10000 Word Limit Question 4 (d) Biological anthropology is concerned with the comparative study of human origin, evolution and diversity. Considering the sampling design in this study, to what population is it reason
a) The association test, in this case, is a chi-square test of independence,
b) The conditions for the chi-square inference procedure are:
Independence
Sample size
c) In this case, the degrees of freedom are (3-1) x (4-1) = 6.
d) The researchers can generalize their results to the population of male students in the region from which the sample was drawn.
What is the association test?
An association test is a statistical test used to determine whether there is a relationship or association between two or more variables. The type of association test used depends on the nature of the variables being examined.
a) The association test, in this case, is a chi-square test of independence, which is used to determine whether there is a significant association between two categorical variables.
b) The conditions for the chi-square inference procedure are:
Independence: The sample is a simple random sample, so independence is satisfied.
Sample size: The expected count for each cell should be at least 5, which is satisfied for all cells in the table.
c) The degrees of freedom for the chi-square test are (r - 1) x (c - 1), where r is the number of rows and c is the number of columns in the table.
In this case, the degrees of freedom are (3-1) x (4-1) = 6. The p-value associated with a chi-square test statistic of 18.930 and 6 degrees of freedom is less than 0.01.
d) The researchers can generalize their results to the population of male students in the region from which the sample was drawn.
However, it may not be appropriate to generalize to other populations without further research to ensure the characteristics of the population are similar to those of the sample.
Hence, a) The association test, in this case, is a chi-square test of independence,
b) The conditions for the chi-square inference procedure are:
Independence
Sample size
c) In this case, the degrees of freedom are (3-1) x (4-1) = 6.
d) The researchers can generalize their results to the population of male students in the region from which the sample was drawn.
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There was a sample of 600 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 8.4% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between Y and t.
Answer: The decay rate is 8.4%, which means that the sample will have 91.6% of its original mass after one year, 91.6% of that amount after two years, and so on.
Therefore, we can write the relationship between y and t as:
y = 600 * (0.916)^t
This is an exponential decay function, where the initial value is 600 milligrams and the decay factor is 0.916 (1 minus the decay rate of 8.4%). As time t increases, the mass of the sample y decreases exponentially.
Step-by-step explanation:
I can’t find the answer pls help me!
Answer:
what is it
Step-by-step explanation:
Select all the properties that both rectangles and parallelograms share.
A. 4 right angles
B. 4 sides of equal length
C. 2 pairs of parallel sides
D. 2 pairs of sides with equal length
E. 2 acute angles and 2 obtuse angles
The prοperties that bοth rectangles and parallelοgrams share are 2 pairs οf parallel sides & 2 pairs οf sides with equal length.
Thus, οptiοn C & D is cοrrect.
Prοperties οf bοth rectangles and parallelοgrams:
Rectangles and parallelοgrams are bοth types οf quadrilaterals, which are pοlygοns with fοur sides.
Certain prοperties are unique tο each type οf quadrilateral, as well as sοme that they share in cοmmοn. Here are the prοperties that rectangles and parallelοgrams share:
1. Bοth rectangles and parallelοgrams have parallel οppοsite sides.
2. Bοth rectangles and parallelοgrams have cοngruent οppοsite sides
3. Bοth rectangles and parallelοgrams have cοngruent, οppοsite angles
4. Bοth rectangles and parallelοgrams have cοnsecutive angles that are supplementary
Therefοre,
The prοperties that bοth rectangles and parallelοgrams share are
C. 2 pairs οf parallel sides
D. 2 pairs οf sides with equal length
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f(x) = ʃ Sqrt[9+X2 DX]
Thus, the derivative of the given function is found as: [tex]f'(x) = (2x) /\sqrt{(9 + x^{2} )}[/tex].
Explain about the derivative of function:The derivative of a function f(x), also known as f'(x) or df/dx, is a measure of how quickly a function changes. A shift in the value of x is depicted in the image by the symbol x.
Hence, df/dx is a single phrase and should not be mistaken for a fraction. It is also a clue that x is the independent variable because it can be interpreted as the derivative of a function having respect to x.
Given function:
[tex]f(x ) = \sqrt{9 + x^{2} } .dx[/tex]
Differentiating the function with respect to x, using the chain rule.
[tex]f'(x) = (9 + x^{2} )^{1/2 - 1} .(0 + 2x)[/tex]
[tex]f'(x) = (9 + x^{2} )^{-1/2} .(2x)[/tex]
[tex]f'(x) = (2x) /(9 + x^{2} )^{1/2}[/tex]
[tex]f'(x) = (2x) /\sqrt{(9 + x^{2} )}[/tex]
Thus, the derivative of the given function is found as: [tex]f'(x) = (2x) /\sqrt{(9 + x^{2} )}[/tex].
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The selling price of an article is N8,000.00. If it is sold at a loss of 20%. What was the cost price?
Answer:
sp= 8000.00.
loss percent= 20%
loss amount = 20% of sp
= 20÷100 × 8000
= 1600
now,
costprice = sp + loss amount
= 8000 + 1600
= 9600
Find the least possible degree shown on the graph
Answer:
The least possible degree is 5.
At a seminar, 2/5 of the audience were students, 3/10 of them were retirees. The rest were professionals. There were 18 more students than professionals. How many audience were at the seminar?
Answer:
There were 60 audience members at the seminar.
Step-by-step explanation:
Let's assume that the total number of audience members at the seminar is "x".
From the given information, we know that:
2/5 of the audience were students, so the number of students was (2/5)x
3/10 of the audience were retirees, so the number of retirees was (3/10)x
The rest were professionals, so the number of professionals was x - (2/5)x - (3/10)x = (1/10)x
We also know that there were 18 more students than professionals, so:
(2/5)x - (1/10)x = 18
Multiplying both sides by 10, we get:
4x - x = 180
Simplifying, we get:
3x = 180
x = 60
Therefore, there were 60 audience members at the seminar.
The total price of a shirt and a cap is $12. If the price of the shirt was doubled and the price of the cap was three times its original price, the total price of a shirt and a cap would be $26. The following system of equations models this scenario:
x + y = 12
2x + 3y = 26
What is the price of each shirt and cap?
1 The price of a shirt is $7, and the price of a cap is $5.
2 The price of a shirt is $8, and the price of a cap is $4.
3 The price of a shirt is $9, and the price of a cap is $3.
4 The price of a shirt is $10, and the price of a cap is $2.
Answer: Number 4 is the answer.
Hope this helps!
The figure below shows a hollow box in the shape of a rectangular prism.
Note that the box has a lid.
2 ft
12 ft
5 ft
Surface area and of rectangular prism are 502ft² and 390ft³ respectively.
Define rectangular prismA rectangular prism is a three-dimensional solid shape that has six rectangular faces, where each face is perpendicular to the adjacent faces. It is also known as a rectangular cuboid.
The rectangular prism has three pairs of congruent faces, which are opposite to each other, and each pair of faces has the same dimensions. The dimensions of a rectangular prism are typically measured by its length, width, and height, and these dimensions can be different from each other.
The formula for the volume of a rectangular prism is:
Volume = length x width x height
The formula for the surface area of a rectangular prism is:
Surface area = 2lw + 2lh + 2wh
Sides of rectangular prism are 2ft,15ft and 13ft.
Surface area of rectangular prism=2(lb+bh+lh)
=2(2×15+15×13+13× 2)
=502ft²
Volume of rectangular prism
=lbh
=2×15×13
390ft³
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The complete question is;
Image is attached below.
A rectangular piece of paper with length 30ft and width 24ft has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Remark
I take it the semicircles cover the full width of the paper.
So the radius is [tex]24\div2 = 12 \ \text{cm}[/tex]
Since there are two of them, the area = a full circle.
Step One
Find the area of the rectangle before the cuts were made.
[tex]\text{Area = L} \times \text{W}[/tex]
[tex]\text{L = 30}[/tex]
[tex]\text{W = 24}[/tex]
[tex]\text{Area} = 30 \times 24 = 720 \ \text{cm}^2[/tex]
Step Two
Find the area of the circle cut outs.
[tex]\text{r} = 12[/tex]
[tex]\text{Area} = \pi \times \text{r}^2[/tex]
[tex]\text{Area} = 3.14 \times 12^2[/tex]
[tex]\text{Area} = 3.14 \times 144[/tex]
[tex]\text{Area} = 452.16 \ \text{cm}^2[/tex]
Step Three
Find the total area left
[tex]\text{Total Area Left = rectangle - circle}[/tex]
[tex]\text{Total Area Left} = 720 - 452.16[/tex]
[tex]\text{Total Area left} = 267.84 \ \text{cm}^2[/tex] Answer
how do you solve 11P3 and 11C3? i dont have right calculator and im typing this on my laptop
Answer:
Step-by-step explanation:
11P3=11×10×9=990
[tex]11C_{3}=\frac{11 \times 10 \times 9}{3 \times 2 \times 1} =165[/tex]
Complete the statement below about the two figures.
I NEED THIS PLS
Answer:
bro give some choices
Step-by-step explanation:
Complete the sentences.
A rotation is a transformation that
OA. turns; shape and size
OB. turns; position
OC. flips; position
D. flips; shape and size
a figure. It changes its
SUBMIT
A rotation can be transformation which turns a figure. It changes its position
what is rotation ?
Rotation is the act of turning or moving something around a fixed point or axis. It is a fundamental concept in mathematics, physics, and engineering, and is used to describe the movement of objects in space.
In the given question,
Rotation is the act of turning or moving something around a fixed point or axis. It is a fundamental concept in mathematics, physics, and engineering, A rotation can be transformation which turns a figure. It changes its position
when their is rotations it turns around its axis and their will be change in its position
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Find the rectangular components of a vector with a magnitude of 30, acting at a point making a 60° with x-axis to the nearest integer.
1. Name the geometric solid
associated with each situation.
a. a stack of 100 copies of the
same book
b. a stack of 100 tires, all with the
19 same radius no
c. a stack of 100 stop signs
The geometric solid associated with each situation are
a. A stack of 100 copies of the same book is a rectangular prism.b. A stack of 100 tires, all with the same radius, is a cylinder.c. A stack of 100 stop signs is a regular polygonal prism with a base of an octagon.Naming the geometric solid associated with each situation.a. a stack of 100 copies of the same book
A stack of 100 copies of the same book can be visualized as a rectangular prism because each book has the same dimensions.
b. a stack of 100 tires, all with the 19 same radius no
A stack of 100 tires, all with the same radius, can be visualized as a cylinder because each tire has a circular shape with the same radius, and when they are stacked on top of each other, they form a cylinder.
c. a stack of 100 stop signs
A stack of 100 stop signs can be visualized as a regular polygonal prism because each stop sign has the shape of a regular octagon, and when they are stacked on top of each other, they form a regular polygonal prism with a base of an octagon.
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I
I need to know this
The measures of the angles and arcs of the circle are;
11320317597824260853224The sum of the digits in the shaded = 1 + 3 + 7 + 2 + 3 + 4 + 6 = 26
26 - 14 = 12
Using the decoder wheel, we get; FVMMO
What is an arc of a circle?An arc is a portion or part of the circumference of the circle.
The arc angles from the diagrams indicates;
1. mPR = 90 + (90 - 67) = 113
2. mQST = mQR + mRST
mQST = 23 + 180 = 203
3. 8·x - 15 + (3·x + 8) = 180 (Linear pair angles)
11·x - 7 = 180
11·x = 187
x = 187/11 = 17
x = 17
4. LM = 3·x + 8
Therefore; LM = 3 × 17 + 8 = 59
LM = 59
5. m∠DAC = 156/2 = 78
6. mBC = 180 - 156 = 24
7. m∠ADB = 43
mAB = 43 × 2 = 86
mABD = 180 + 86 = 266
8. 2 × (7·x -3) = 17·x - 30
14·x - 6 = 17·x - 30
17·x - 14·x = 3·x = 30 - 6 = 24
x = 24/3 = 8
x = 8
9. m∠YZX = 7·x -3
m∠YZX = 7 × 8 - 3 = 53
m∠YZX = 53
10. m∠WXZ = 62/2 = 31
The angle formed by the intersection of WY and XZ is therefore;
mWZY = 180 - (2 × 53) + 63 = 137
mWXY = 180 - (2 × 31) + (17 × 8 - 30) = 224
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What is the measure of an inscribed angle that intercepts an arc whose measure is 200?
A. 100
B. 200
C. 300
D. 50
The answer to the given question about inscribed angles intercepting an arc is option A. 100
As we know that the measure of an inscribed angle is half the measure of the intercepted arc, we can use the formula:
Measure of inscribed angle = 1/2 × Measure of intercepted arc
So, if the intercepted arc has a measure of 200 degrees, then the measure of the inscribed angle is:
Measure of inscribed angle = 1/2 × 200 degrees
= 100 degrees
Therefore, the answer is A. 100 degrees. In a circle, an inscribed angle is an angle formed by two chords of the circle that have a common endpoint on the circle. The measure of an inscribed angle is half the measure of the intercepted arc. Therefore, if an arc has a measure of 200, then an inscribed angle that intercepts that arc will have a measure of half of 200, which is 100 degrees.
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Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that could describe each situation.
PLESSSS HELP ME I REALLY NEED IT 100 points
They are different because they are inverse expressions.
what is prime factor ?
A positive integer factor that is also a prime number is known as a prime factor in mathematics. Otherwise put, a prime factor is a prime number that may be multiplied by additional prime factors to produce the original integer. For instance, since 24 can be written as the product of the numbers 2, 2, 2, and 3, the prime factors of 24 are 2, 2, 2, and 3. There is only one set of prime factors for every positive integer since a number's prime factors are always unique. Finding a number's prime factors is a technique called prime factorization. It is a fundamental idea in number theory and has lots of real-world uses, including in computer science and cryptography.
given
Due to the way division operates, the quotient of three by one-fifth differs from the quotient of one-fifth by three. You get a greater quotient when you divide a larger number by a smaller number, and a smaller quotient when you divide a smaller number by a larger number.
To demonstrate these two scenarios, consider the following two tales:
The Quotient of Three Divided by One-Fifth is the first story.
There once were three pals named Chris, Ben, and Alex. They made the decision to split the five equally sized slices of pizza. Due to his extreme hunger, Alex chose to grab three of the slices for himself, leaving Ben and Chris with just two pieces each.
We write the expressions first mathematically:
three divided by one-fifth:
(3) / (1/5)
one-fifth divided by three:
(1/5) / (3)
We now use the double c method to find the results:
(3) / (1/5) = (3 * 5) / (1 * 1) = 15/1 = 15
(1/5) / (3) = (1 * 1) / (5 * 3) = 1/15 = 0.066666667
The difference between the two is:
15-0.066666667 = 14.93333333
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A company gives each client a unique
account number containing four letters
followed by three digits. How many
account numbers are possible?
Answer: 456,976,000
Step-by-step explanation: Assuming that repetition is allowed
HELP PLSSS!!!!!!
A student missed 88
problems on a English test and received a grade of 2%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.
Answer:
Let's start by using the formula for finding the percentage: percentage = (part/whole) x 100 In this case, we know the percentage (2%) and the part (88 problems), but we don't know the whole (total number of problems on the test). So we can write: 2% = (88/whole) x 100 Simplifying, we get: 0.02 = 88/whole Multiplying both sides by the whole, we get: whole x 0.02 = 88 Dividing both sides by 0.02, we get: whole = 4400 Therefore, there were 4400 problems on the English test.
Answer:90 problems
Step-by-step explanation:
To solve the problem, we can use the formula:% correct = (number of correct answers / total number of questions) * 100%Since the student received a grade of 2%, we can write:2% = (number of correct answers / total number of questions) * 100%Simplifying this equation, we get:total number of questions = number of correct answers / 0.02We know that the student missed 88 problems, so the number of correct answers is:number of correct answers = total number of questions - 88Substituting this into the equation above, we get:total number of questions = (total number of questions - 88) / 0.02Simplifying this equation, we get:total number of questions = 50 * (total number of questions - 88)Solving for the total number of questions, we get:total number of questions = 90Therefore, there were 90 problems on the English test
what type of polynomial is this
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1
Find the probability of choosing a green marble at random from a bag of 5 green and 10 white
marbles and then flipping a coin and getting tails. Pls help fast
The probability of choosing a green marble at random from a bag of 5 green and 10 white marbles and then flipping a coin and getting tails is 1÷6 or approximately 0.1667.
What is Probability ?
Probability is a mathematical concept that measures the likelihood of an event or set of events occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability can be determined using mathematical formulas or by analyzing empirical data.
The probability of choosing a green marble at random from a bag of 5 green and 10 white marbles is:
P(green marble) = number of green marbles ÷ total number of marbles
P(green marble) = 5 ÷ 15
P(green marble) = 1÷3
The probability of flipping a coin and getting tails is:
P(tails) = 1÷2
The probability of choosing a green marble at random from the bag and then flipping a coin and getting tails is the product of the two probabilities:
P(green marble and tails) = P(green marble) x P(tails)
P(green marble and tails) = (1÷3) x (1÷2)
P(green marble and tails) = 1÷6
Therefore, the probability of choosing a green marble at random from a bag of 5 green and 10 white marbles and then flipping a coin and getting tails is 1÷6 or approximately 0.1667.
To learn more about Probability from given link.
https://brainly.com/question/30034780
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