Answer: The number it is a power too
To determine how many times greater something is in scientific notation, you need to compare the exponents of the numbers and calculate the ratio between them.
In scientific notation, a number is expressed as the product of a coefficient (a decimal number between 1 and 10) and a power of 10. The exponent represents the number of places the decimal point has been moved.
To find how many times greater one number is than another, you compare the exponents of the powers of 10. If the exponent of the first number is n and the exponent of the second number is ᵃ, you can calculate the ratio by dividing 10ⁿ by 10ᵃ.
The result of this division will give you the factor by which the first number is greater than the second number. For example, if the result is 100, it means the first number is 100 times greater than the second number.
In summary, to determine how many times greater something is in scientific notation, compare the exponents of the powers of 10 and calculate the ratio between them.
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I’m stuck here I need help
The coordinates of the end point of the line AC is C(8.6) using the section formula.
Explain the section formula?The coordinates of such a point which divides an line segment internally or externally in certain ratio can be found using the section formula. The midpoint of such a line segment can be determined using this technique as well.For the given question,
The coordinates are-
A(2, -6) C(m,n)mid point M(5,0)The formula for the mid point using the section formula is-
x(m) = x2 + x1 / 2
5 = m + 2 / 2
10 = m + 2
m = 8
y(m) = y2 + y1 / 2
0 = n - 6/ 2
0 = n -6
n = 6
Thus, the coordinates of the end point of the line AC is C(8.6) using the section formula.
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The complete question is-
Segment AC is bounded by points A(2, -6) and C(m,n). If points (5,0) is the mid point of the segment AC, find the coordinates of the point C.
if your heart rate is 120 beats per minute during strenuous exercise, what is the time per beat in units of seconds? 0.2 s/beat 0.4 s/beat 0.5 s/beat 0.6 s/beat
Therefore ,the heart beat the time per beat in units of seconds is 0.5s/beat.
A well-formed equation in algebra unites two variables with the equals sign to indicate the equality of the two terms. An equation, for instance, is any well-formed formula that consists of two expressions joined by the equals sign in English. An équation, on the other hand, is described as consisting of one or more variables in French.
Here,
Given: your heart rate is 120 beats per minute during strenuous exercise
Thus to calculate time per beat in units of seconds
We,
time per second per beat = total second in a minute /heart rate
time per second per beat =60/120
time per second per beat =1/2
time per second per beat = 0.5 s/beat
Therefore ,the heart beat the time per beat in units of seconds is 0.5s/beat.
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for a two-factor study with 2 levels of factor a, 2 levels of factor b, and a separate sample of 10 participants in each treatment condition, the two means for level a1 are 4 and 1, and the two means for level a2 are 3 and 2. for these data, what is the value of ss between treatments?
As per the two factor study, the value of s is 60.
Two factor study
In math, two factor study defined as an experimental design in which data is collected for all possible combinations of the levels of the two factors of interest.
Given,
Here we have that for a two-factor study with 2 levels of factor a, 2 levels of factor b, and a separate sample of 10 participants in each treatment condition, the two means for level a1 are 4 and 1, and the two means for level a2 are 3 and 2.
And we need to find the value of s between treatments.
As per the given question, we have identified that the values,
Number of participants = 10
And we also know that, level a1 are 4 and 1, and the two means for level a2 are 3 and 2.
So, based on the two factor method, the value of s calculated as,
Here we have to multiple factors first,
=> 3 x 2 = 6
And then multiply that by n = 10,
=> 6 x 10 = 60
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Jesse has an expression:
x² - x - 6
Why would Jesse want to factor this expression to get the following expression?
(x - 3)(x + 2)
A. To find the coefficients.
B. To find the discriminant.
C. To find the order.
D. To find the x-intercepts.
Jesse wants to factor the expression To find the x-intercepts.
Quadratic Expression:An expression containing a variable having the largest power of two is called a quadratic expression. The power of the expression should be two, not greater or lower.
Coefficients:A coefficient is a multiplication factor in a polynomial, series, or statement in mathematics; it is often a number.
Discriminant:The concept used to find the number of solutions of a quadratic equation is known as Discriminant. The expression that appears under the square root in the quadratic formula is named Discriminant.
X- intercept :The value of the x coordinate at the point where the graph intersects the x-axis, or alternatively, the value of the x coordinate at the point where the value of the y-coordinate equals zero, is the x-intercept for any curve.
Here we have
x² - x - 6 is factorized as (x - 3)(x + 2)
If we take (x - 3)(x + 2) = 0
=> (x - 3) = 0 (x + 2) = 0
=> x = 3 x = -2
This means x values are x-intercept
Therefore,
Jesse wants to factor the expression To find the x-intercepts.
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Rewrite the following equation in logarithmic form.
e^a=95/73
The logarithmic form of e^a = 95/73 is [tex]loge_{\frac{95}{73} }[/tex] = a
What is natural logarithm?natural logarithm can be referred to as the power to which the base ‘e’ that has to be raised to obtain a number called its log number. Here e is the exponential function. It was initially discovered in the 17th century by John Napier, who discovered and conceptualized the theory of logarithms. Before looking into the key difference between ln and log, let’s understand the definition of log and ln.
if e^a = 95/73
means that the natural logarithm of 95/73 is the number a
so that we have
a = [tex]loge_{\frac{95}{73} }[/tex]
In conclusion the logarithmic form of the expression is a = [tex]loge_{\frac{95}{73} }[/tex]
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a pair of 6-sided dice is thrown. someone tells you that both the dice are showing an even number. with this information, what is the probability of the total (when you sum up the dice) being equal to 8?
As per the given dice, the probability of the total being equal to 8 is 1/9 or 11.11%.
Probability:
In statistics, probability refers the possibility of the particular event.
Given,
Here we need to find the probability of the total (when you sum up the dice) being equal to 8.
In order to calculate this probability, we must first calculate all the possible combinations of two six-sided dice that add up to 8.
Hence both the dice are showing an even number, the possible combinations are (2, 6), (4, 4), and (6, 2). the total number of possible combinations for two six-sided dice is 36 (6 x 6).
So, the probability of the total being equal to 8 is 3/36 or 1/9 or 11.11%.
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How do you write 3/4 as a percent?
Answer:
0.75 or 75%
Step-by-step explanation:
I know that 2/4 is 0.5 or 50% and 1/4 is 0.25 or 25% so it goes by 25. One more than 2/4 is 3/4, which is what you are trying to find, so it would be 0.75, or 75%.
find the gradient vector field of f. f(x, y) = xe3xy
The gradient vector field of function f(x,y) is given as follows:
grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.
How to obtain the gradient vector field of a function?
Suppose that we have a function defined as follows:
f(x,y).
The gradient function is defined considering the partial derivatives of function f(x,y), as follows:
grad(f(x,y)) = fx(x,y) i + fy(x,y) j.
In which:
fx(x,y) is the partial derivative of f relative to variable x.fy(x,y) is the partial derivative of f relative to variable y.The function in this problem is defined as follows:
f(x,y) = xe^(3xy).
Applying the product rule, the partial derivative relative to x is given as follows:
fx(x,y) = e^(3xy) + 3xye^(3xy) = (1 + 3xy)e^(3xy).
Applying the chain rule, the partial derivative relative to y is given as follows:
fy(x,y) = 3x²e^(3xy).
Hence the gradient vector field of the function is defined as follows:
grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.
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a piece of wire 10 m long is cut into two pieces. one piece is bent into a square and the other is bent into an equilateral triangle. how should the wire be cut so that the total area enclosed is
The triangle should have 4.35 metres of wire, which means the square should have 6.978 meters
Let "x" is the cutting distance from one end of the wire.
Then, area of square would be ,
Area = (x/4)²
The side of equilateral triangle would be,
L=(10-x)/3
height would be (10-x)/3*√(3)/2
=> (10-x)√(3)/6
So, the area of triangle is
Area of triangle= ((10-x)/3)² ×√(3)/4
=> (10-x)² ×√(3)/36
So, the total area is ,
A = (x/4) + (10 - x)²/36√3
Differentiating Area w.r.t x
dA/dx=x/8-2 ×√(3)/36(10-x)
=> x/8+20× √(3)/36-2 × √(3)/36x
Putting the expression equal to 0,
x/8+20× √(3)/36-2 × √(3)/36x = 0
=> x(1/8+ √(3)/18
=> 10√(3)/18
x*0.22122 = 0.96225
x=4.35
Substituting the value of x
This corresponds to minimum area which is:
A(4.35)=(4.35/4)^2+(10-4.35)^2 × √(3)/36=1.183+1.536
=> 2.719m²
Thus , the minimum area is 2.71 square meters when x=4.35 m. As a result, the wire should be cut such that the dimension of the square is formed by the piece having a length of 4.35 m, and the equilateral triangle is formed by the piece having a length 5.65 m.
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Johnny just became a personal trainer and is finalizing his pricing plans. One plan is to charge $74 for the initial consultation and then $64 per session. Another plan is to charge $20 for the consultation and $66 per session. Johnny realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
The cost when the two plans are the same is $1802. The number of sessions where the plans would be the same is 27.
What is the cost and the number of sessions?The linear equation that represents the total cost of the first plan: initial consultation + charge per session x number of sessions)
= $74 + $64s
The linear equation that represents the total cost of the second plan: $20 + $66s
When the two plans are the same, the two linear equations would be the same.
$20 + $66s = $74 + $64s
In order to determine the value of s, take the following steps:
Combine similar terms:
$66s - $64s = $74 - $20
Add similar terms:
$2s = $54
Divide both sides of the equation is $2
s = $54 / 2
s = 27
Total cost when s is 27: $20 + $66(27)
$20 + 1782 = $1802
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in huffman encoding if all the letters have the same frequency then they have equal code lengths. true or false g
If all the letters have the same frequency then they have may or may not be equal codes.
What is Huffman encoding?
A lossless data compression algorithm is Huffman coding. Input characters are given variable-length codes, the lengths of which are determined by the frequency of the matching characters.
The variable-length codes (bit sequences) assigned to input characters are Prefix Codes, which indicates that no other character will have a code that is the prefix of the code assigned to that character. This is how Huffman Coding ensures that the produced bitstream cannot contain any ambiguities during decoding.
Let's use a counter example to better grasp prefix codes. Assume that the four characters a, b, c, and d have the variable length codes 00, 01, 0 and 1, respectively. Because the code assigned to c is the prefix of the codes assigned to a and b, this coding causes uncertainty. If the bit stream being compressed is 0001, the decompressed output might be "cccd," "ccb," "acd," or "ab."
In huffman coding, if two nodes have the same frequency, they are considered to be identical for compression reasons, therefore you can select either one and gain an equal amount of compression.
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The graph shows the proportional relationship between time spent filling a pool, x, and the amount of water in the pool, y.
What does the point (5, 100) represent? At ____ minutes, there are _____ gallons of water in the pool.
What the point (5, 100) represent is that: At 5 minutes, there are 100 gallons of water in the pool.
How to interpret the ordered pair?The graph missing in the complete question is added at the end of this solution as an attachment
From the question, we have the following parameters that can be used in our computation:
The graph is a proportional relationship x = time spent filling a pooly = the amount of water in the poolThis means that the point (5, 100) represents
(x, y) = (5, 100)
So, we have
x = 5 and y = 100
Recall that
x = time spent filling a pooly = the amount of water in the poolSo, it means that there are 100 gallons of water in the pool after 5 minutes
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Help please! Two angles are complementary. One is three times the measure of the other. What are the measures if each angle?
Answer: 22.5 and 67.5
Step-by-step explanation:
A complementary angle means that two angles add up to 90°
If one angle is 3 times the other,
let x be the value of the other angle.
The bigger angle would be 3x.
Therefore,
3x+x=90°
4x=90°
x=22.5
22.5 is the measure of the smaller angle
and 22.5x3=67.5 would be the other (larger) angle.
Answer:
22.5 degrees and 67.5 degrees
Step-by-step explanation:
3x + x = 90
4x=90
x=90/4
x=22.5
other angle is 3x which is 67.5
Tell whether $x$ and $y$ show a positive, negative, or no correlation. Ten dots on a coordinate plane. From left to right, the points generally start lower and move higher on the graph. The points are. Ordered pair negative 3 comma negative 2. Ordered pair negative 2 comma negative 2. Ordered pair negative 1.5 comma negative 1. Ordered pair negative 1 comma 0. Ordered pair negative 0.5 comma 1. Ordered pair 0.5 comma negative 1. Ordered pair 0.5 comma 2. Ordered pair 1 comma 1. Ordered pair 1.5 comma 2. Ordered pair 1.5 comma 3. $x$ and $y$ show correlation.
The variables x and y show a positive correlation
How to determine the correlation shown by the variable?From the question, we have the following parameters that can be used in our computation:
Variables = x and yNumber of dots on a coordinate plane = 10The points start from left to right (and moves from lower to higher)The ordered pairs are (-3, -2).(-2, -2), (-1.5, -1), (-1, 0), (-0.5, 1), (0.5, -1), (0.5, 2), (1, 1), (1.5, 2), (1.5, 3)Next, we plot the graphs of the points using a graphing calculator
See attachment for the graph
From the graph, we can see that the points are approximately linear
And the points show a linear pattern with a positive slope
This means that the correlation is positive
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extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
What is extrapolation?
A statistical technique called extrapolation aims to understand the unknown data from the known data. It uses historical data to attempt to predict future data. For instance, using the current population size and growth rate to project the size of a population in a few years.
Predicting hypothetical values outside of a specific data set is the goal of extrapolation.
Contrary to interpolation, which typically focuses on estimating past values, extrapolation is used to predict unknown future values due to its predictive nature.
Hence, extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
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When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 2kg, the acceleration of the object is 26 m/s^2 If the same force acts upon another object whose mass is 13kg, what is this object's acceleration?
A ∝ 1/M
A = K/M
A is the acceleration and M is the mass of the object.
The object's acceleration for an object of mass 13 kg is 4 m/s²
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass.
This means,
A ∝ 1/M
A is the acceleration and M is the mass of the object.
Now,
A = K/M
26 = K / 2
K = 26 x 2
k = 52
Now,
M = 13
A = K/M
A = 52/13
A = 4 m/s²
Thus,
The object's acceleration for an object of mass 13 kg is 4 m/s²
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BRAINLIEST TO BEST SOLUTION! The question is attached. THANK YOU FOR YOUR HELP!
Answer: not sure on this problem too
Step-by-step explanation:
sorry, can't really help!
The area of the circle is 66.50cm²
How to calculate the area of the circle?A circle is an object in which all distances are equal from the center.
In a circle, the length of the two tangents are equal.
From the figure, BP=CP
Also, the angles between a tangent and a radius is = 90⁰
⇒<OCP=90⁰
<PCB=<PBC=(180-60)/2 = 120/2 = 60⁰
Using cosine rule,
p²=b²+c²-2bccosP
p²=8²+8²-2*8*8*cos60
p²=64+64-128*0.5
p²=128-64
p²=64
Take the square root of both sides to get
p=√64=8
Note that CB=8 .....................(given)
Cx=8/2=4cm
Using trigonometric ratio
CosC = Adjacent/Hypotenuse
Cos30 = 4/CO
CO = 4/cos30
CO = 4/0.8660
CO = 4.6cm
CO = radius (r)
Area of circle = пr²
Area = 22/7 * 4.6 * 4.6
Area = 66.50 cm²
In conclusion, the area of the circle is 66.50cm²
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12. A hot air balloon is flying at an altitude of 1,000 ft. The pilot wants to increase the altitude of
the balloon at 5° angle over the next 500 ft. What will be the balloon's change in altitude?
(sin 5° -0.0872; cos 5º = 0.9962; tan 5° = 0.0875)
A. 25.8 ft
B 43.7 ft
C. 231.4 ft
D. 498 ft
Balloon's altitude = 43.7ft as
change in altitude/500 = tan 5°
change in altitude = .0875*500
=43.7ft
Hexagon K is a scaled copy of hexagon J.
What scale factor takes hexagon J to hexagon K?
The scale factor 5/2 takes hexagon J to hexagon K.
What is Hexagon?
Hexagon AB, a publicly traded international information technology company with its headquarters in Stockholm, Sweden, was established in 1992 and is a leader in hardware and software for virtual reality. The Stockholm Stock Exchange has Hexagon's B share on its list of major corporations.
From the given two Hexagon's K and L, the Hexagon K is copy to Hexagon K.
The scale factor = the ratio of edges
Scale factor = 20/8 = 30/12 = 5/2
Hence, the scale factor 5/2 takes hexagon J to hexagon K.
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Complete question:
Complete question is attached below.
Quadrilateral STUV is similar to quadrilateral WXYZ. Find the measure of side XY.
Figures are not drawn to scale.
Answer:
11.4
Step-by-step explanation:
Given these quadrilaterals are similar, all we have to do is divide 21 (ST) by 5.7 (WX). That should give us 3.6842105263, which is the scale factor. To find the length of XY, we have to divide UT (the side similar to XY) by the scale factor. UT = 42, and 42/3.6842105263 = 11.4
Answer:
11.4
Step-by-step explanation:
Use these clues to find the number.
It is an even number.
* It is greater than 6 and less than 12.
* It has a 0 in the ones place.
Answer:
10
Step-by-step explanation:
0 in the 0nes place but less than 12. more than 6. so it has to be 10.
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options.
The steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
How to solve the equation by quadratic equation?x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
The Following is the determination of the quadratic equation's solution;
2x² + 12x - 3 = 0
2x² + 12x = 3
multiply across by two
x² + 6x = ³/₂
Add the two sides of the equation after squarely multiplying the coefficient of x by half.
(x + 3)² = ³/₂ + 3² + 6x + 9 =
9 + ³/₂ (x² + 6x + 9)
= 18 + 3
Thus, the steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
The complete question is : Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Check all that apply.
2(x2 + 6x + 9) = 3 + 18
2(x2 + 6x) = –3
2(x2 + =6x) = 3
x + 3 = 21/2
2(x2 + 6x + 9) = –3 + 9
(x + 3)2 = 6/2
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What is the answer please say
Answer:
c) ♣ + 25
Step-by-step explanation:
♦ + 20 = ♣
♦ + 45 = ♦ + (20+25)
=> ♦ + 45 = ♣ + 25
The solution of the equation is C
How to solve equations?The equations can be solved as follows:
let
x = the quadrilateral shape
y = flower shaped figure
Hence, let's replace it in the equation
x + 20 = y
Let's find x + 45
Therefore,
x + 20 = y
x = y - 20
Let's substitute the value of x in the second equation
x + 45
y - 20 + 45
y + 25
Recall y is the flowered shaped figure. Therefore, the answer is C.
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Which of the following graphs matches the inequality 3x − 2y > 4? The graph shows a solid line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading above the line. The graph shows a solid line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading below the line. The graph shows a dashed line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading above the line. The graph shows a dashed line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading below the line.
For inequality we get graph attached in solution. So, Option (b) is correct i.e. we will get solid line, which crosses the y-axis at negative 2 and the x-axis at 4 thirds, with shading below the line.
How to solve inequality?Take these actions:
Place "y" on the left and the remaining variables on the right in the equation.Plot the "y=" line (make it a solid line for y or y, and a dashed line for y or y>).Place a shade above or below the line depending on whether the value is larger or less than (y> or y).For given equation 3x-2y> 4
Step 1: Add 2y to both sides. Our equation becomes
3x>4+2y
Step 2: Now subtract 4 from both sides and divide both sides by 2. After that we will get
(3x/2)-2>y
Step 3: Plot y=3x/2 -2 on graph.
Step 4: Shade all region below line plotted in step 3.
Image is attached for graph:
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To graph the system of inequalities:
y ≤ −5x + 2
y < 3x − 1.5
We can start by graphing the boundary lines for each inequality:
For y ≤ −5x + 2, the boundary line is y = -5x + 2, which has a slope of -5 and a y-intercept of 2. Since the inequality includes "less than or equal to," we will use a solid line to represent the boundary.
For y < 3x − 1.5, the boundary line is y = 3x - 1.5, which has a slope of 3 and a y-intercept of -1.5. Since the inequality is "less than" and not "less than or equal to," we will use a dashed line to represent the boundary.
Next, we need to determine the shading for each inequality:
For y ≤ −5x + 2, we shade below the solid line because y is less than or equal to the other side of the inequality.
For y < 3x − 1.5, we shade below the dashed line because y is less than the other side of the inequality.
Based on the given options, the correct answer is:
The graph shows a solid line that passes through 0 comma 2 and 1 comma negative 3, with shading below the line. There is also a dashed line that passes through 0 comma negative 1.5 and 1 comma 1.5, with shading below the line.
the price of an book is $10. to buy the book. Rosie must also pay 6% sales tax. Rosie wants to know the total price of the book including sales tax.
Turn a percent into a decimal by moving the decimal point two to the left.
10 x 6% = 10 x .06
10 x .06 = .60
Sales tax: 60 cents
Total price: $10.60
A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction. If she maintains a constant speed of 670 mi/h, how far is she from her starting position?
On solving the provided question, we got to know that - distance she covered from her starting position is 2731 miles
What is equation?If two things are equal, an equation declares it. A "=" equals sign will appear in the format: 7 + 2 = 10 − 1 What is on the left (7 + 2) equals what is on the right (10 1), according to that equation. The statement "this equals that" is analogous to an equation.
The flight's first leg is 1020 miles long and lasts (1.5 hours) at 680 mph. We'll refer to this as our triangle's side B.
The second leg of the journey is 1360 miles (2 hours x 680 mph) long. We'll refer to this as the triangle's side C.
The law of cosines allows us to determine the triangle's side a's length.A is a 170° angle between the two sides whose lengths we are aware of. (180° - 10° = 170°).
[tex]a^2 = b^2 + c^2 - (2)*(a)*(b)*cos(A)[/tex]
[tex]a^2 = (1020 miles)^2 + (1360 miles)^2 - (2)*(1020 miles)(1360 miles)*cos(170)\\ a^2 = 1040400 miles^2 + 1849600 miles^2 - (2774400 miles2)*cos(170)\\ cos(170) = -0.9848\\ a^2 = 2890000 miles^2 + 2732251 miles^2 = 5622250.6 miles^2\\ a = (5622250.6 miles^2)^{\frac{1}{2} } = 2371 miles[/tex]
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What are some benefits of representing data sets using frequency distributions What are some benefits of using graphs of frequency distributions? What are some benefits of representing data sets using frequency distributions? Organizing the data into frequency distribution can make patterns within the data more evident: Organizing the data into frequency distribution makes it possible to graph quantitative data_ It is easier t0 determine the minimum and maximum values of a data set when has been arranged into a frequency distribution. What are some benefits of using graphs of frequency distributions? It can be easier t0 determine the class boundaries by looking at a graph of the frequency distribution_ Graphing a frequency distribution makes possible to determine the relative frequencies of each of the classes_ It can be easier to identify patterns of a data set by looking at a graph of the frequency distribution_ Graphing frequency distribution makes it possible to find the total number of observations.
That's so the 4th 1 option is correct organizing their data into a frequency distribution and the 2nd option C.
Frequency distributions are visual displays that organise and present frequency counts so that the information can be interpreted more easily. Frequency distributions can show absolute frequencies or relative frequencies, such as proportions or percentages. It is easier to identify patterns of our data set by looking at a graph of the frequency distribution. So here is both the points which are given in the caution. So the first point option is correct organizing the data into a frequency distribution can make patterns within the data more evident And the 2nd point option C. is correct. It is easier to identify patterns of our data set by looking at a graph of the frequency distribution.
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2) At a concert, 35% of the audience members were teenagers. If the number of audiences at the concert was 1800, what was the number of teenager members?
Answer:
630
Step-by-step explanation:
35% of 1800 = 0.35 × 1800 = 630
write an explicit rule for the nth term of
7, 9, 13, 21, 37
man how?
Answer:
as per the question the nth term is 7,9,13,21,37,69.
Step-by-step explanation:
By looking at the consecutive numbers We can understand, the difference of consecutive terms of given series: 7, 9, 13, 21, 37,… forms a G.P.: 2, 4, 8, 16, 32, …. And more.
So when we subtract the first term from the second term we get:
9−7=2 and after doing the same for the following numbers we get: -
13−9=4
21−13=8
37−21=16
Let the nth term be x,
x−37=32 and now solve this equation to get the nth term∴x=32+37
=69
hence the next term is 69
Which digit should be put in the empty box so that the resulting number is between seven lakh three thousand and seven lakh four thousand?
A. 0
B. 1
C. 3
D. 4
