The choices that are equivalent to the expression i√4 are A and C.
Here is a simple explanationThis is a Complex Number problem and should be approach as such.
The expression √-4 can be simplified as follows:
√-4 = √(4*(-1)) = √4 * √(-1) = 2i which is A
Also, i√4 is equivalent to i*2 = 2i, which is the same as option (A)
Therefore, the choice that is equivalent to the expression √-4 is (A) 2i and (C) i√4
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The equivalent expressions to the given expression are: 2i (letter A) and
i√ 4 (letter C).
Complex NumberA complex number is represented by the following form: a+bi, where a and b are real numbers. The variables: a is the real part and bi imaginary part. See an example: 5 + 2i , then: 5 represents the real part and 2i represents the imaginary part.
Regarding operations math, the same properties used for real numbers can be applied to complex numbers. And for solving the operations math with these numbers, it is important to know that i²= -1, consequently [tex]\sqrt{-1} =i[/tex]. Thus, 2i² = 2*(-1)= -2.
Algebraic expressions are considered equivalent when they are equal.
Thus, to solve this question, you should convert the given expression into a complex number.
[tex]\sqrt{-4} =\sqrt{4}*\sqrt{-1}[/tex]= 2*i=2i
The option that is equal to the result found are:
- letter A = 2i;
- letter B= [tex]i\sqrt{4}[/tex]=i*2=2i
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use the table to find the standard score and percentile of the following data values. a. a data value 2.8 standard deviations below the mean. b. a data value 1.2 standard deviations below the mean. c. a data value 0.2 standard deviation above the mean. loading... click the icon to view the standard scores and percentiles for a normal distribution.
a. Standard Score: -2.8, Percentile: 2.1%
b. Standard Score: -1.2, Percentile: 15.9%
c. Standard Score: 0.2, Percentile: 50.2%
SALES An automobile company sold 2.3 million new cars in a year. If the average price per car was $21,000, how
much money did the company make that year? Write your answer in scientific notation.
Therefore, the company made $48.3 million (written in scientific notation as 4.83 x 10⁷) that year from selling new cars.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The expressions on both sides of the equals sign must have the same value for the equation to be true. Equations can involve a wide range of mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. They are used to solve problems in various fields such as physics, engineering, economics, and many others.
Here,
To find the total revenue generated by the company, we need to multiply the number of new cars sold by the average price per car. We can do this as follows:
Total revenue = number of new cars sold x average price per car
Total revenue = 2.3 million x $21,000
To multiply these two numbers, we can use the distributive property:
Total revenue = (2.3 x 10⁶) x ($21,000)
Total revenue = 2.3 x $21 x 10⁶
Multiplying 2.3 by 21 gives us 48.3, which we can write in scientific notation as 4.83 x 10¹. We can then add the exponents to get:
Total revenue = 4.83 x 10¹ x 10⁶
Total revenue = 4.83 x 10⁷
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A(n) _____________ volume is similar to a primary partition, but in fact, is not a primary partition.1. mirrored2. simple3. spanned4. striped
A(n) "spanned" volume is similar to a primary partition, but in fact, is not a primary partition.
A spanned volume is similar to a primary partition, but in fact, is not a primary partition. In a spanned volume, you can combine free space from multiple disks to create a larger logical storage unit, while a primary partition is a segment of a hard disk drive that the operating system recognizes as a separate logical storage unit. A volume can span multiple partitions depending on how it is configured, or it can encompass a single partition. Different operating systems have different ways of configuring and managing volumes.
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In 32 at-bats,rico got 12 hits. At that rate how many hits would he get in 56 at-bats
The number of hits would Rico get in 56 at-bats is 21 hits if he maintains the same rate of hits per at-bat.
To determine how many hits Rico would get in 56 at-bats, we can use a proportion based on the information given:
Hits / At-bats = Hits / At-bat
We know that Rico got 12 hits in 32 at-bats, so we can plug those values into the proportion:
12 / 32 = Hits / 56
We can then solve for Hits by cross-multiplying:
12 * 56 = 32 * Hits
672 = 32 * Hits
Hits = 672 / 32
Hits = 21
Therefore, if Rico maintains the same rate of hits per at-bat, he would be expected to get approximately 21 hits in 56 at-bats.
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What is y - 4 = -2(x - 1) in Slope-Intercept Form y = -2x - 6 y = -2x + 6 y = -2x - 2 y = -2x + 2
The equation y - 4 = -2(x - 1) in slope-intercept form include the following: C. y = -2x - 2.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.By making the variable "y" the subject of formula, we have the following:
y - 4 = -2(x - 1)
y = -2x + 2 - 4
y = -2x - 2
Therefore, the slope (m) is equal to -2.
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Theorem: A line parallel to one side of a triangle divides the other two proportionately.
In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB:
Which statement can be proved true using the given theorem?
Group of answer choices
Segment BD = 12
Segment BD = 4
Segment BF = 16
Segment BF = 9
Since BC = 12 and AB = 16, segment BF must be 9, which is one-half of 16.
What is triangle?A triangle is a three-sided polygon that is one of the basic shapes in geometry. It is defined by three points that are connected by three line segments. Triangles have three angles, which add up to 180 degrees, and three sides, which add up to the sum of the lengths of the other two sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. Triangles come in a variety of forms, from the equilateral triangle, which has three sides of equal length, to the isosceles triangle, which has two sides of equal length, to the scalene triangle, which has three sides of different lengths.
The correct answer is: Segment BF = 9. This can be proved true using the given theorem, since segment DE is parallel to segment BC and segment EF is parallel to AB. Therefore, since BC = 12 and AB = 16, segment BF must be 9, which is one-half of 16.
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Find the distance of D of AB
A=(-7,-7) B= (-3,-1)
The distance between the points A=(-7,-7) and B=(-3,-1) is 7.21 units.
Finding the distance of D of ABWe can use the distance formula to find the distance between points A=(-7,-7) and B=(-3,-1) on the coordinate plane.
The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the values we have, we get:
d = √((-3 - (-7))^2 + (-1 - (-7))^2)
= √((4)^2 + (6)^2)
= √(16 + 36)
= √(52)
≈ 7.21
Therefore, the distance between points A=(-7,-7) and B=(-3,-1) is approximately 7.21 units.
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The weight of oranges growing in an orchard is normally distributed with a mean weight of 4.5 oz. and a standard deviation of 1 oz. Using the empirical rule, what percentage of the oranges from the orchard weigh between 3.5 oz. and 5.5 oz.?
Therefore, we can conclude that approximately 68% of the oranges from the orchard weigh between 3.5 oz. and 5.5 oz. using the empirical rule.
The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution:
Approximately 68% of the data falls within one standard deviation of the mean.
Approximately 95% of the data falls within two standard deviations of the mean.
Approximately 99.7% of the data falls within three standard deviations of the mean.
In this case, we want to find the percentage of oranges that weigh between 3.5 oz. and 5.5 oz., which is one standard deviation below and above the mean, respectively.
First, we need to standardize the values using the z-score formula:
z = (x - μ) / σ
where:
x is the value we want to standardize (in this case, 3.5 oz. and 5.5 oz.)
μ is the mean (4.5 oz.)
σ is the standard deviation (1 oz.)
For 3.5 oz.:
z = (3.5 - 4.5) / 1 = -1
For 5.5 oz.:
[tex]z = (5.5 - 4.5) / 1 = 1[/tex]
Now, we can use a standard normal distribution table or calculator to find the area under the curve between z = -1 and z = 1. The area between two z-scores represents the percentage of data that falls between those values.
According to the table, the area between [tex]z = -1[/tex]and [tex]z = 1[/tex]is approximately 0.6827 or 68.27%.
Therefore, we can conclude that approximately 68% of the oranges from the orchard weigh between 3.5 oz. and 5.5 oz. using the empirical rule.
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(co 5) a textbook company claims that their book is so engaging that more than 55% of students read it. if a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted? g
If a hypothesis test rejects the null hypothesis in the context of the claim made by the textbook company, it means that the observed proportion of students who read the book is statistically significantly greater than 55%, suggesting that their book may indeed be more engaging.
If a hypothesis test is performed that rejects the null hypothesis, it means that the observed results are unlikely to have occurred by chance if the null hypothesis were true. In the context of the claim made by the textbook company, the null hypothesis would be that the proportion of students who read the book is equal to or less than 55%.
If the hypothesis test rejects the null hypothesis at a certain level of significance (such as α = 0.05), it means that the observed proportion of students who read the book is statistically significantly greater than 55% at that level of significance.
However, it is important to note that statistical significance does not necessarily imply practical significance. Even if the hypothesis test rejects the null hypothesis, the difference between the observed proportion and 55% may be small, and the practical significance of the result may be limited.
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why is there a publication bias against null effects? a. null effects are not real. b. people generally want to read about independent variables that change the outcome. c. null effects are the result of badly designed studies. d. null results happen less often than significant results.
The correct answer is option C, The main reason for publication bias against null is that null results are less frequent than significant results.
In research, a "significant" result is one that meets some level of statistical significance, usually limited to p < . 0.05.
This implies that the watched impact is improbable to have emerged simply by chance and there's proof to bolster the theory being tried.
On the other hand, a 'null' result may be a result that does not meet this level of measurable importance,
proposing no critical contrast between bunches or no critical impact of the autonomous variable on the subordinate variable.
Because research emphasizes statistical significance, null results are often viewed as less interesting and less valuable than significant results.
As a result, researchers are less likely to submit zero results for publication, and journals may be less likely to accept them.
This can lead to a bias in the published literature where only studies with significant results are published and studies with zero results remain unpublished or buried in the "drawer" of researchers.
This can lead to an overestimation of the effects of certain variables and treatments, which can hinder scientific progress by hiding important information about ineffective ones.
It is important to note that null results are not necessarily the result of poorly designed studies.
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Determine the domain of the variable x in the given expression.
x-12/x+49
The domain of the variable x is all real numbers except -49. In interval notation, the domain can be written as: (-∞, -49) U (-49, ∞)
What is domain?In mathematics, the domain of a function is the set of all possible input values (usually represented by the variable x) for which the function is defined. It is the set of all values that can be substituted for the independent variable in a function to produce a valid output. The domain of a function is often restricted by the context in which it is being used, such as the type of problem or the natural limitations of the situation.
According to given information:The given expression is (x-12)/(x+49).
The denominator of the expression is x + 49. The denominator cannot be equal to 0, as division by 0 is undefined. Therefore, x + 49 ≠ 0.
Solving for x, we get:
x ≠ -49
Therefore, the domain of the variable x is all real numbers except -49. In interval notation, the domain can be written as:
(-∞, -49) U (-49, ∞)
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in testing a hypothesis from a random sample involving three or more means, the appropriate test would be a one-way anova. True or false?
A parking space has an area of 209 ft.² and a height of 19 feet. A custom truck has rectangle dimensions of 13.5 x 8.5 feet. Can the truck fit in the parking space?
Yes, the truck fit in the parking space for the given rectangle dimensions through which 13.5ft<19ft or 11ft>8.5ft
What about rectangle dimensions?
The dimensions of a rectangle refer to its length and width, which are the two perpendicular sides of the rectangle. The length is the longer side of the rectangle, while the width is the shorter side. The dimensions are usually denoted by the letters "l" and "w", with the length written first.
For example, if a rectangle has a length of 6 units and a width of 4 units, its dimensions would be written as "6 x 4", or "l = 6, w = 4". The area of a rectangle can be calculated by multiplying its length by its width, while its perimeter is given by the sum of twice its length and twice its width.
According to the given information:
We know the are of parking space = [tex]209ft^{2}[/tex]
So, 19 x b = 209
b = 11
13.5 ft < 19 ft and 11 ft > 8.5 ft
So, the truck fit in the parking space (parallelogram area formula)
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A cone with a radius of 3 inches and a height of 18 inches is shown
What is the volume, in a cubic inches, of the cone. Round your answer to the nearest integer
Answer: about 169.65
Step-by-step explanation:
You do pi r squared multiplied by height over 3.
28.27 is the area of the circle and you multiply is by six because 18/3=6. 28.27x6 = about 169.65
solve -3(x-3)≤ 5(1-x)
9. 56 x 9. 83 Estimated product > or < Exact Product
The estimated product of 56 and 9.83 is 600 and the exact product of 56 and 9.83 is 551.48.
When we talk about an estimated product, we refer to an approximate answer that is close to the actual product. It is usually obtained through rounding off the numbers being multiplied and carrying out the multiplication using the rounded off values. For example, if we round off 56 to 60 and 9.83 to 10, we can easily find the estimated product as follows:
60 x 10 = 600
On the other hand, an exact product refers to the actual result obtained when multiplying two or more numbers without rounding off. In other words, it is the precise answer obtained when we multiply the exact values of the numbers being multiplied. To find the exact product of 56 and 9.83, we can use long multiplication as follows:
56
x 9.83
336 (3 x 56)
280 (8 x 56)
40.8 (3 x 9.83)
551.48
In conclusion, when asked to find the product of two numbers, it is essential to consider whether an estimated product or an exact product is required. Both estimated and exact products have their advantages and limitations, depending on the context in which they are used.
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25. Which is the solution set of the equation
2x² + 3x - 2 = 0?
(1) (-1/2,2}
(2) {1/2,-2}
(3) {1/2,2}
(4) {-1/2,-2}
Answer:
(2) {1/2,-2}
Step-by-step explanation:
2x² + 3x - 2 = 0
Delta = b² - 4ac
= 3² - 4 (2)(-2)
= 9 + 16
Delta = 25
[tex] \sqrt{25} = 5[/tex]
X= -3-5÷4 = -2
X'= -3+5÷4 = 2/4 = 1/2
S = { 1/2 ; -2 }
Answer:
Step-by-step explanation:
2x² + 3x - 2 = 0
2x² -x +4x - 2 = 0
(2x² -x) +(4x - 2) = 0
x(2x -1) +2(2x -1) = 0
(x +2)(2x-1) =0
(x +2) =0
x = -2
OR
(2x-1) =0
x = 1/2
ans: (2) (1/2, -2)
5(2x - 1) + 3(x - 3) = -(4x - 6) + 2(13 - 3x)
Answer:
The value of x is 2.
Step-by-step explanation:
5(2x -1) + 3(x -3) = -(4x - 6) + 2(13 -3x)
Expand both sides of the equation to remove parenthesis
10x - 5 + 3x - 9 = -4x + 6 + 26 - 6x
Transpose all terms with x as the coefficient on the left side of the equation and transpose the constants to the right.
10x + 3x + 4x + 6x = 6 + 26 + 5 + 9
Simplify
23x = 46
Divide both sides of the equation by 23
23x/23 = 46/23
x = 2
Tonya is making a circle graph of the data shown in the table. How many degrees will the section for piano have?
Guitar: 1/4
Piano: 1/6
Drums 13/45
Flute 1/10
Trumpet 7/36
The section for piano will have 60 degrees in the circle graph.
How to solveTo find out how many degrees the section for piano will have in the circle graph, we first need to find the fraction of the circle that the piano represents.
The total degrees in a circle is 360 degrees. We can use the given fraction of piano (1/6) and multiply it by 360 degrees to find out the degrees of the section for piano.
Degrees for piano = (Fraction of piano) × 360
Degrees for piano = (1/6) × 360
Now, multiply the fraction by 360:
Degrees for piano = 60
So, the section for piano will have 60 degrees in the circle graph.
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→ 60° ( btw, ° means degrees )
— if a WHOLE circle is 360° and the piano is 1/6 of the circle, then all you have to do is multiply 1/6 by 360° which gives you 60 OR 60°
HEY- you look hungry, eat up !! →
Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the following expression, where c
represents the original cost of the coffee pot.
c−0.2c
Which other expression could Kelly use to calculate her cost before sales tax?
A. 0.8c
B. 1.2c
C.1.8c
D.80c
Write as a product
1-25x^2+10xy-y^2
Please help with explanation
Will award brainliest.
Answer:
(-5x +y +1)(5x -y +1)
Step-by-step explanation:
You want the factored form of 1-25x²+10xy-y².
Perfect square trinomialWe recognize the last three terms as those of a perfect square trinomial:
25x² -10xy +y² = (5x -y)²
Difference of squaresUsing this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.
1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)
= (-5x +y +1)(5x -y +1)
__
Additional comment
The forms we used here are ...
(a -b)² = a² -2ab +b²
a² -b² = (a -b)(a +b)
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Pavarti made mixed juice from similar bottles of strawberry juice and mango
juice. She filled a jug with 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice. Pavarti then drank 3/8 of a bottle of the mixed juice. Find the amount of mixed juice that was left in the jug.
The amount of mixed juice that was left in the jug is 5/4 of a bottle
Word Problem calculationPavarti used 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice, so the total amount of mixed juice is:
7/8 + 3/4 = 14/16 + 12/16 = 26/16 = 13/8
So, Pavarti had 13/8 of mixed juice in the jug.
Pavarti then drank 3/8 of a bottle of the mixed juice, so the amount of mixed juice left in the jug is:
13/8 - 3/8 = 10/8 = 5/4
Therefore, the amount of mixed juice that was left in the jug is 5/4 of a bottle.
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The amount of mixed juice left in the jug is 5/4 (or 1 1/4).
How find the amount of mixed juice left in the jug?A fraction is a numerical quantity that represents a part or parts of a whole.
Since Pavarti filled the jug with 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice. The total amount of mixed juice will be:
amount of mixed juice = 7/8 + 3/4
= 13/8
She then drank 3/8 of a bottle of the mixed juice. That is subtraction.
Thus, the amount of mixed juice left in the jug will be:
mixed juice left = 13/8 - 3/8
= 10/8
= 5/4
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in a study, phoenix marketing international identified bridgeport, connecticut; san jose, california; washington, dc; and lexington park, maryland, as the four u.s. cities with the highest percentage of millionaires (kiplinger website). consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. city bridgeport, san jose, washington, lexington park, millionaire ct ca d.c. md yes 42 37 35 35 no 458 263 365 365 a. what is the estimate of the percentage of millionaires in each of these cities (to 1
In the study by Phoenix Marketing International, the following number of millionaires were found in each city:
1. Bridgeport, CT: 42 millionaires out of 500 sampled (42 + 458)
2. San Jose, CA: 37 millionaires out of 300 sampled (37 + 263)
3. Washington, D.C.: 35 millionaires out of 400 sampled (35 + 365)
4. Lexington Park, MD: 35 millionaires out of 400 sampled (35 + 365)
To estimate the percentage of millionaires in each city, divide the number of millionaires by the total sample size, then multiply by 100:
1. Bridgeport, CT: (42/500) * 100 = 8.4%
2. San Jose, CA: (37/300) * 100 = 12.3%
3. Washington, D.C.: (35/400) * 100 = 8.75%
4. Lexington Park, MD: (35/400) * 100 = 8.75%
So, the estimated percentage of millionaires in Bridgeport is 8.4%, in San Jose is 12.3%, in Washington, D.C. is 8.75%, and in Lexington Park is 8.75%.
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Aisha and Jordan start by making a floor plan for their treehouse. They decide to build a porch on one side of the treehouse. Floor Plan : 10. 5 Ft (Length) by 6 Ft (wide) - Withing the plan the porch is 1. 25 Ft by 6 Ft
Make a grid and shade to find the area of the porch. (I can do the math but not sure how to make the grid)
The area of the porch would be 7.5 square feet.
Now, let's move on to creating a grid for the porch in Aisha and Jordan's floor plan. The grid should have a scale, meaning each square on the grid should represent a certain measurement, such as one foot or one meter.
Next, you will need to shade the area of the porch on the grid. The porch in the floor plan is 1.25 ft by 6 ft, so on the grid, you can shade in 1.25 squares along the length of the porch and 6 squares along the width of the porch.
Finally, to find the area of the porch, you simply count the number of shaded squares on the grid. Each square on the grid represents a certain amount of area, based on the scale you established earlier.
If each square on the grid represents one square foot, and you shaded in 7.5 squares for the porch.
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Answer:
shade the grids to find the area of the porch.
Titus and Alejandro are both on the track team. Each day in May they are recorded how long it took them to run one mile. Titus Mean: 7. 2 minuts, Standard deviation : 0. 15 minute. Alejandro: Mean 7. 1 minutes, Standard deviation: 0. 34 minutes. Base on the data, who had the greater speed?
Based on the data, Alejandro had a greater speed than Titus.
The mean time of Titus = 7. 2 minutes,
The mean time of Alejandro = 7. 1 minutes,
Calculating their average speed, which is the reciprocal of the time it takes them to run a mile, will allow to reasonably compare Titus and Alejandro's total running speed.
Using the formula for average speed -
Average speed = 1 / time
Calculating the average speed of Titus -
Average speed = 1/ Time taken by Titus
= 1 / 7.2
= 0.1389 miles per minute
Calculating the average speed of Alejandro -
Average speed = 1/ Time taken by Alejandaro
= 1 / 7.1
= 0.1408 miles per minute
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Fill in the blanks with the appropriate justifications (reasons) for the steps used in solving the equation. Statements
statements:
1. x/2-9=-4 given
2. x/2=-13
3.x=-26
what are the justifications for 2 and 3
The justifications for 2 and 3 are;
Addition property of equality and
Multiplication property of equality
What are the justifications for the steps used in solving the equation?1. x/2 - 9 = -4 given
Add 9 to both sides
2. x/2 = -13 (Addition property of equality)
cross product
3.x = -26 (Multiplication property of equality)
Therefore, x/2 - 9 = -4 where x Is -26 is justified by addition and multiplication property of equality.
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what is the constant of proportionality in the equation y=6/5x
Step-by-step explanation:
The only number there : 6/5 is the constant of proportionality
if you flip a fair coin 10 times, what is the probability of obtaining as many heads as you did or less? 0.0107 0.9453 0.0321 0.7769
To calculate this probability, we need to use the cumulative binomial probability formula:
P(X ≤ k) = Σ(i=0 to k) (n choose i) p^i (1-p)^(n-i)
Where:
- X is the number of heads obtained
- k is the number of heads we want to calculate the probability for (in this case, the same number of heads obtained)
- n is the total number of coin flips (10 in this case)
- p is the probability of getting heads on a single flip (0.5 for a fair coin)
- (n choose i) is the binomial coefficient, which represents the number of ways to choose i heads out of n flips
For this problem, we want to calculate P(X ≤ 10), since we're interested in the probability of obtaining as many heads as we did or less. Plugging in the values, we get:
P(X ≤ 10) = Σ(i=0 to 10) (10 choose i) 0.5^i 0.5^(10-i)
= (10 choose 0) 0.5^0 0.5^10 + (10 choose 1) 0.5^1 0.5^9 + ... + (10 choose 10) 0.5^10 0.5^0
= 0.00098 + 0.00977 + 0.04395 + 0.11719 + 0.20508 + 0.24609 + 0.20508 + 0.11719 + 0.04395 + 0.00977 + 0.00098
= 0.9453
Therefore, the probability of obtaining as many heads as we did or less when flipping a fair coin 10 times is 0.9453.
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brainlist
show all steps nd i will make u brainlist
Step-by-step explanation:
Again, using similar triangle ratios
7.2 m is to 2.4 m
as AB is to 12.0 m
7.2 / 2.4 = AB/12.0 Multiply both sides of the equation by 12
12 * 7.2 / 2.4 = AB = 36.0 meters
hat is the maximum speed of a point on the outside of the wheel, 15 cm from the axle?
It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.
The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.
Learn more about rotational speed here: brainly.com/question/17025846
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