When followers' needs for security and certainty, belonging, and feeling chosen or special are strong, it makes them vulnerable to the dictates of abusive leaders.
The epistemic attribute of beliefs that one cannot rationally reject is certainty, often known as epistemic certainty or objective certainty. Epistemic certainty is commonly defined as a belief being certain if and only if the person holding it could not be wrong in holding it.
In both public and private markets, securities are fungible, tradeable financial instruments used to raise capital.
The three main categories of securities are: equity, which gives holders ownership rights; debt, which is effectively a loan returned with recurring payments; and hybrids, which include features of both debt and equity.
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Enter the correct answer in the box. in triangle abc, the side lengths are ab = 13, ac = 21, and bc = x. write a compound inequality that represents the range of possible values for x.
The range of possible values should be (7,34), i.e 7 < x < 34.
The answer must be more noteworthy than 7, else the two sides are less than or rise to to the third. That triangle is outlandish. The reply must moreover be less than 34, since at that point the two other sides would rise to the third, making an impossible triangle.
By the property of triangle, Sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
To prove above propert, let us assume a ΔABC
extend AB to D in such a way that AD=AC.
In ΔDBC, as the angles opposite to equal sides are always equal, so,
∠ADC=∠ACD
so,
∠BCD>∠BDC
As the sides opposite to the greater angle is longer, so,
BD>BC
AB+AD>BC
Since AD=AC, then,
AB+AC>BC
Hence, sum of two sides of a triangle is always greater than the third side.
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Answer:
7 < x < 34
Step-by-step explanation:
59. In the given figure, O is the centre of circle, XY || BC, what is the value of x?
The value of x is 25 degrees if XY is parallel to the BC option (b) 25 degrees is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
A circle is given:
XY ║ BC
x = angle XYB
When two lines or rays converge at the same point, the measurement between them is called an "Angle."
Angle BAX = Angle XYB
In triangle AXY, Angle XAY = 90 degrees
Angle BAX = 90 - Angle BAY
x = Angle BAX = 90 - 65
x = 25 degrees
Thus, the value of x is 25 degrees if XY is parallel to the BC option (b) 25 degrees is correct.
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5. Which point is a solution to this system of equations.
(3x - y = 7
(2x + 3y = 1
O (2,-1)
0 (2,1)
O (-2,-1)
O (-2,1)
Answer:
(2, - 1 )
Step-by-step explanation:
3x - y = 7 → (1)
2x + 3y -= 1 → (2)
multiplying ( 1) by 3 and adding to (2) will eliminate y
9x - 3y = 21 → (30
add (2) and (3) to eliminate y
11x = 22 (divide both sides by 2 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (2)
2(2) + 3y = 1
4 + 3y = 1 (subtract 4 from both sides )
3y = - 3 ( divide both sides by 3 )
y = - 1
solution = (2, - 1 )
The population of a certain city can be modeled by the exponential * 1 poi
function below, where x represents the number of years since 2010. The graph for the function is also shown below. Which of the following statements are true? SELECT ALL THAT APPLY. I need help now please
The true statements about the functions are:
b. The population of the city in 2010 is 25000c. The rate at which the population decreases every year is 4% f. The function value would approach 0 as it decreasesHow to determine the true statement?The function is given as:
f(x) = 25000 * 0.96^x
Set x = 0 to determine the initial value of the function
f(0) = 25000 * 0.96^0
Evaluate
f(0) = 25000
This means that the population of the city in 2010 is 25000 i.e. option (B) is correct
Also, we have:
f(x) = 25000 * 0.96^x
The rate at which the population decreases every year is calculated as:
r = 1 - 0.96
Evaluate the difference
r = 0.04
Express as percentage
r = 4%
This means that the rate at which the population decreases every year is 4% i.e. option (C) is correct
The population after 5 and 10 years are:
f(5) = 25000 * 0.96^5
f(5) = 20384
f(10) = 25000 * 0.96^10
f(10) = 16621
Divide these populations by the initial population in 2010
20384/25000 = 82%
16621/25000 = 66%
This means that the population decreased by 82% and 66% in 5 years and 10 years since 2010, respectively.
So, options (d) and (e) are false
Lastly, because the population function is an exponential decay function;
The function value would approach 0 as it decreases
This means that option (f) is correct
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which function describes this table of value x -8, -4, 4, 8, y -2, 0, 4, 6
we conclude that the linear equation represented by the given table is:
y = (1/2)*x + 2
Which function is the one described by the table?A general linear equation is given by:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through (x₁, y₁) and (x₂, y₂), then the slope is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we can use just the first two points on the given line:
(-8, -2) and (-4, 0)
Then the slope will be:
[tex]a = \frac{0 - (-2)}{-4 -(-8)} = \frac{2}{4} = \frac{1}{2}[/tex]
Then the linear equation is something like:
y = (1/2)*x + b
To find the value of b, we can use one of the two given points, I will use (-4, 0), then:
0 = (1/2)*(-4) + b
0 = -2 + b
2 = b
Then we conclude that the linear equation represented by the given table is:
y = (1/2)*x + 2
Then the correct option is the first one.
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f(x)=4x^(3)+6x^(2 )-3x-4
g(x)=4x-3
Find (f - g) (x)
The value of (f - g)(x) is as follows:
(f - g)(x) = 4x³ + 6x² - 7x - 1
How to solve functions?f(x) = 4x³ + 6x² - 3x - 4
g(x) = 4x - 3
Let's find the function:
(f - g)(x)
Therefore,
(f - g)(x) = 4x³ + 6x² - 3x - 4 - ( 4x - 3)
Hence, let's open the bracket
(f - g)(x) = 4x³ + 6x² - 3x - 4 - 4x + 3
Let's combine like terms
(f - g)(x) = 4x³ + 6x² - 3x - 4x - 4 + 3
Therefore,
(f - g)(x) = 4x³ + 6x² - 7x - 1
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Evaluate the integral. 3 f(x) dx −4 where f(x) = 3 if −4 ≤ x ≤ 0 4 − x2 if 0 < x ≤ 3
It looks like you have
[tex]f(x) = \begin{cases} 3 & \text{if } -4 \le x \le 0 \\ 4 - x^2 & \text{if } 0 < x \le 3\end{cases}[/tex]
and the integral you want to compute is
[tex]\displaystyle \int_{-4}^3 f(x) \, dx[/tex]
Split the integral up at [tex]x=0[/tex]. Then
[tex]\displaystyle \int_{-4}^3 f(x) \, dx = \int_{-4}^0 f(x)\,dx + \int_0^3 f(x)\,dx \\\\ ~~~~~~~~~~~~ = \int_{-4}^0 3 \, dx + \int_0^3 (4 - x^2) \, dx \\\\ ~~~~~~~~~~~~ = 3(0 - (-4)) + \left(4\cdot3 - \frac{3^3}3\right) = \boxed{15}[/tex]
After evaluating the integral we get 15
Integral is the representation of the area of a region under a curve. We approximate the actual value of an integral by drawing rectangles. A definite integral of a function can be represented as the area of the region bounded by its graph of the given function between two points in the line.
Given,
f(x) = 3 if - 4 ≤ x ≤ 0
f(x) = 4 - [tex]x^{2}[/tex] if 0 < x ≤ 3
Then,
[tex]f(x) = \left \{ {{3} \atop {4-x^{2} }}[/tex]
We need to solve the integral -[tex]\int\limits^3_4 {f(x)} \, dx[/tex]
Elaborate the integral with x = 0
-[tex]\int\limits^3_4 {f(x)} \, dx[/tex]
= -[tex]\int\limits^0_4 {f(x)} \, dx + \int\limits^3_0 {f(x)} \, dx[/tex]
= -[tex]\int\limits^0_4 {3} \, dx + \int\limits^3_0 {4-x^{2} } \, dx[/tex]
= 3 ( 0 - (-4)) + (4.3 - [tex]\frac{3^{3} }{3}[/tex])
= 15
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A candlemaker uses 240 cubic centimeters of wax to create a scented candle using a cylindrical mold. he decides to offer a larger-sized candle, which uses twice as much wax as the smaller-sized candle. which mold can he use to make the larger-sized candle?
The mold the candlemaker can use to make the larger-sized candle is 480 cubic centimeters.
CylinderA cylinder is a surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.
smaller-sized candle = 240 cubic centimeterslarger-sized candle = 2(smaller-sized candle)
= 2(240 cubic centimeters)
= 480 cubic centimeters
Therefore, the mold the candlemaker can use to make the larger-sized candle is 480 cubic centimeters.
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Answer:
A cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.
Hope this helps!
Step-by-step explanation:
Which inequality is represented by the graph below? Check all that apply. A number line going from 4 to 14. An open circle is at 9. Everything to the left of the circle is shaded. x greater-than 9 x less-than 9 any rational number greater than or including 9 any rational number less than or including 9 any rational number greater than 9 any rational number less than 9
the correct inequality is"any rational number less than 9"
x < 9
Which inequality is represented by the graph?Remember that when we have a number line, an open circle means that we can use the symbols > or <.
While a closed circle uses the symbols ≤ or ≥.
Here we know that we have an open circle at 9, ant everything to the left of the circle is shaded.
To the left of 9 there are the numbers smaller than 9, then the inequality would be:
x < 9
Then the correct option is "any rational number less than 9"
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Answer: x<9
any rational number less than 9"
Step-by-step explanation:
Draw a diagram to show that the square root of 121 is 11.
Answer:
i think this may help you
The diagram to show that the square root of 121 is 11 attached below
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
Assume that x-a be the closest perfect square less than x,let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).
Then, we get:
[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]
Thus, [tex]\sqrt{x-a} and \sqrt{x+b}[/tex] are the closest integers, less than and more than the value of {x}. (assuming x is non-negative value).
Herewe are given the number as 121
It is perfect root then ;
√121 = 11
The solution that show that the square root of 121 is 11 attached below
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A positive five-digit integer is in the form ; where , and are each distinct digits. What is the greatest possible value of that is divisible by eleven
The the biggest 5 digit number based on the computation will be 87,978.
How to compute the value?The difference between the sum of the odd-numbered digits (1st, 3rd, 5th...) and the sum of the even-numbered digits (2nd, 4th...) is divisible by 11.
An example is that 34871903 is divisible by 11
3+8+1+0=12
4+7+9+3=23
23-12=11
Here, we want (b + b) - (a + c + a) to be divisible by 11.
2b - (2a + c) to be divisible by 11
ab,cba (using 7 and 8 and 9 since they biggest)
78 987 --> 2*8 - (2*7 + 9) = 16 - (14 + 9) = 16 - 23 = -7 NO
87 978 --> 2*7 - (2*8 + 9) = 14 - (16 + 9) = 14 - 25 = -11 YES
79 897 --> 2*9 - (2*7 + 8) = 18 - (14 + 8) = 18 - 22 = -4 NO
97 879 --> 2*7 - (2*9 + 8) = 14 - (18 + 8) = 14 - 26 = -12 NO
89 798 --> 2*9 - (2*8 + 7) = 18 - (16 + 7) = 18 - 23 = -5 NO
98 789 --> 2*8 - (2*9 + 7) = 16 - (18 + 7) = 16 - 25 = -9 NO
Therefore, the biggest 5 digit number is 87,978.
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If a2 = i, where i is the identity matrix, which matrix correctly represents matrix a?
[tex]A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right][/tex]
We can find the A as shown below:
Given A^2=I
We know that A^2=A×A
And [tex]I=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
So, [tex]A^2=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
Let [tex]A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right][/tex]
[tex]A^2=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right] \left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right][/tex]
[tex]A^2=\left[\begin{array}{ccc}9-8&-6+6\\12-12&-8+9\end{array}\right][/tex]
[tex]A^2=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
Hence, [tex]A=\left[\begin{array}{ccc}3&-2\\4&-3\end{array}\right][/tex]
Hence, option C is correct
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Disclaimer: Given question is incomplete. Complete question is attached.
What is the z-score of the value 55.2?
Mean: about 25.1
Standard deviation: about 2.4
What is the z-score of the value 29,rounded to the nearest tenth
The z-score to the normal distribution table is 1.625
z-score of distribution tableThe standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured.
The formula for calculating the z-score is expressed as;
z = x-μ/σ
where
μ is the mean of the data
σ is the standard deviation
x is the value
Given the parameters
μ = 25.1
σ = 2.4
x = 29
Substitute the given parameters
z = 29-25.1/2.4
z = 3.9/2.4
z = 1.625
Hence the z-score to the normal distribution table is 1.625
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pls help me urgent pls help me
The answers to the questions are:
43.22 minutes15 km/hr6 km0.37 = 37/1000.086 = 86/1000What is distance?This defined as the total number of points that a person has been able to cover at a given period. It is calculated by taking the time and the speed of takeoff into consideration. The speed that a person used and the time it took them to get to their destination is what is used to calculate distance
The time it takes for sunlight to reach is given as
distance/speed
778000000000/300000000
=2593.33 * 60
= 43.22 minutes
The formula for distance is given as speed * time
speed = 15km/hr
time = 1 hour
The distance = 15 * 1
= 15 km/hr
If the time is 2*1/2
the distance = 15 / 2.5
= 6 km
Expressed as a fraction we have the following
0.37 = 37/100
0.086 = 86/1000
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Chris buys 4 more shirts than p number of pants. Shirts cost $18 each and pants cost $25 each. What does each term in the expression 25p+18(p+4) represent? What does the entire expression represent?
The expression 25p+18(p+4) represents the total amount spent on shirts and pants
How to interpret the terms of the expression?The given parameters are:
Shirts = 4 more than pants (p)
Cost of shirt = $18
Cost of pant = $25
The above means that:
p + 4 represents the number of shirts Chris buys, while p represents the number of pants
The terms of the expression 25p + 18(p+4) are
25p and 18(p+4)
This means that:
25p = The total cost of pants
18(p+4) = The total cost of shirts
Hence, the expression 25p+18(p+4) represents the total amount spent on shirts and pants
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The table shows the temperature of a cooling cup of coffee.
Minutes 1 2 3 4
Temperature (degrees C) 97 95.1 93.2 91.3
What is the common ratio of the sequence? Express your answer as a decimal rounded to the nearest hundredth.
Write an explicit formula for the nth term of the sequence where n represents the number of minutes and T(n) represents the temperature of the coffee.
If the pattern continues, what will be the temperature of the coffee after 15 minutes? Express your answer as a decimal rounded to the nearest tenth.
Based on the given table, the common ratio, explicit formula and temperature of the coffee after 15 minutes is 0.98, Tn = 97 × 0.98^(n-1) and 73.1°C
Geometric sequenceCommon ratio, r = second minutes / first minutes
= 95.1 / 97
= 0.98041237113402
Approximately,
r = 0.98
nth term of the sequence, Tn = ar^n -1
Tn = 97 × 0.98^(n-1)
Temperature of the coffee after 15 minutes, T15 = 97 × 0.98^(n-1)
= 97 × 0.98^(15-1)
= 97 × 0.98^14
= 97 × 0.7536419414749019520643907584
= 73.1032683230654893502459035648
Approximately,
T15 = 73.1°C
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What is 6x^2 + 4(x^2 - 1)? Like terms.
The value of x for the given equation is 0.632 and -0.632.
According to the statement
We have given that the equation and we have to a find the value of the x.
So, The given quadratic equation are:
Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power solve for x in the quadratic equation
The given terms are
[tex]6x^2 + 4(x^2 - 1) = 0[/tex]
Solving the equation the the outcome equation is
[tex]6x^2 + 4x^2 - 4 = 0\\10x^2 - 4 = 0\\10x^2 = 4\\x^2 = 4/10[/tex]
The value of x is 0.632 and -0.632.
So, The value of x for the given equation is 0.632 and -0.632.
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Solve each pair of simultaneous equations by elimination method.
a) 2x+3y-1=0
5x+2y+3=0
Answer:
x = -1
y = 1
Step-by-step explanation:
PART I: Find the y-valueGiven expressions
1) 2x + 3y - 1 = 0
2) 5x + 2y + 3 = 0
Add 1 on both sides of the 1) equation:
2x + 3y - 1 + 1 = 0 + 1
2x + 3y = 1
Subtract 3 on both sides of the 2) equation:
5x + 2y + 3 - 3 = 0 - 3
5x + 2y = -3
Current System
1) 2x + 3y = 1
2) 5x + 2y = -3
Multiply 2.5 on both sides of the 1) equation
(2.5) 2x + (2.5) 3y = (2.5) 1
5x + 7.5y = 2.5
Current System
1) 5x + 7.5y = 2.5
2) 5x + 2y = -3
Subtract 2) equation from 1) equation
(5x + 7.5y) - (5x + 2y) = 2.5 - (-3)
Get rid of the parenthesis
5x + 7.5y - 5x - 2y = 2.5 + 3
Combine like terms
5x - 5x + 7.5y - 2y = 5.5
0 + 5.5y = 5.5
5.5y = 5.5
Divide 5.5 on both sides
5.5y / 5.5 = 5.5 / 5.5
[tex]\boxed{y=1}[/tex]
PART II: Find the x-valueSubstitute the y-value back to one of the equations to find the x-value
2x + 3y - 1 = 0
2x + 3(1) - 1 = 0
Combine like terms
2x + 3 - 1 = 0
2x + 2 = 0
Subtract 2 on both sides
2x + 2 - 2 = 0 - 2
2x = -2
Divide 2 on both sides
2x / 2 = -2 / 2
[tex]\boxed{x=-1}[/tex]
Hope this helps!! :)
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A donut store sells packages of 12 donuts. The store has made x donuts. How many complete packages does the store have for sale
The number of complete packages the store have for sale is x / 12
How to find the number of packages for sale?The donuts sells packages of 12 donuts. This means the each package has 12 donuts.
The store has made x donuts. This means the store made x number of donut. The donuts are not in packages.
Therefore, the number of complete packages the store have for sale is as follows:
12 donuts = 1 package
x donuts = ?
cross multiply
number of packages for sale = x / 12
Therefore, the number of complete packages the store have for sale is x / 12
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4x+10=-2x + 4
y - 4 (2y - 5) = -4
Solve the 2 equations
(ignore image)
The solutions to the equations are x = 7/3 and y = 24/7
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
4x + 10 = -2x + 4
y - 4(2y - 5) = -4
Considering the first equation
4x + 10 = -2x + 4
Collect the like terms
4x + 2x = 10 + 4
Evaluate the like terms, by adding them
6x = 14
Divide both sides of the equation by 6
x = 7/3
Considering the second equation
y - 4(2y - 5) = -4
Expand the bracket in the above equation
y - 8y + 20 = -4
Collect the like terms
y - 8y = -20 -4
Evaluate the like terms, by adding them
-7y = -24
Divide both sides of the equation by -7
y = 24/7
Hence, the solutions to the equations are x = 7/3 and y = 24/7
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Maria was shopping for a camera and found one that was on sale for 30% off. As she went to pay for it, the store announced an instant sale that took an additional 10% off all items. If the final price Maria paid was $207.27, what was the original price (before all discounts) of the camera? Possible Answers: $290.18 $329.00 $518.18 $767.67 $82.91
Answer:
$329.00
Step-by-step explanation:
Let the original price be $x, then
x - 0.30x - 0.10(x - 0.30x) = 207.27
x - 0.30x - 0.10x + 0.03x = 207.27
0.63x = 207.27
x = 329.00.
What is the product?
StartFraction 4 n Over 4 n minus 4 EndFraction times StartFraction n minus 1 Over n + 1 EndFractiontartFraction 2 Over x EndFraction
Based on the given task content; the product of StartFraction 4 n Over 4 n minus 4 EndFraction times StartFraction n minus 1 Over n + 1 EndFractiontartFraction 2 Over x EndFraction is (4n² - 8n) / (4n²x - 5nx - x)
ProductProduct of numbers refers to the multiplication of two or more values to arrive at a single result.
4n / (4n - 1) × (n - 1) / (n + 1) 2/x
= 4n / (4n - 1) × 2(n - 1) / x(n + 1)
= 4n / (4n - 1) × (2n - 2) / (nx + x)
= 4n(2n - 2) / (4n - 1) (nx + x)
= 4n² - 8n / (4n²x - 4nx - nx - x)
= (4n² - 8n) / (4n²x - 5nx - x)
Therefore, the product of 4n / (4n - 1) × (n - 1) / (n + 1) 2/x is (4n² - 8n) / (4n²x - 5nx - x)
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Given a triangle ABC at points A = (-6, 3) B=(-4,7) C = (-2, 3), and a first transformation of up 2 and right
3, and a second transformation of down 1 and left 6, what would be the location of the final point B"?
Select one:
O a. (-7,8)
O b. (7,-4)
Oc. (-7,4)
O d. (-1,8)
Given a triangle ABC at points A = (-6, 3) B=(-4,7) C = (-2, 3), and a first transformation of up 2 and right 3, and a second transformation of down 1 and left 6, the final point B" is located at (-7, 8), which is option (a).
What is transformation?In mathematics, a transformation refers to a change or mapping of one set of values to another set. In geometry, a transformation involves changing the position, size, or orientation of a geometric object.
To find the location of the final point B", we need to apply the two transformations given to the initial point B (-4, 7).
First transformation: up 2 and right 3
This means we add 2 to the y-coordinate (to move the point up) and add 3 to the x-coordinate (to move the point right).
So, the new location of B after the first transformation is: (-4 + 3, 7 + 2) = (-1, 9)
Second transformation: down 1 and left 6
This means we subtract 1 from the y-coordinate (to move the point down) and subtract 6 from the x-coordinate (to move the point left).
So, the new location of B" after the second transformation is: (-1 - 6, 9 - 1) = (-7, 8)
Therefore, the final point B" is located at (-7, 8), the correct option is a.
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what do I check off
Consider the line y equals 2 over 5 x plus 4.
Find the equation of the line that is parallel to this line and passes through the point left parenthesis 5 comma negative 1 right parenthesis.
the parallel linear equation is:
y = (2/5)*x - 3
How to find the parallel line?Two lines are parallel if the lines have the same slope but different y-intercept.
Here we know the line equation:
y = (2/5)*x + 4
Then a parallel line is of the form:
y = (2/5)*x + c
Where c is different than 4.
We want this line to pass through (5, -1), then:
-1 = (2/5)*5 + c
-1 = 2 + c
-1 - 2 = -3 = c
Then the parallel linear equation is:
y = (2/5)*x - 3
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The proportional relationship between the number of hours a business operates and its total
cost of electricity is shown in the following graph.
Total cost (dollars)
1604
140-
120-
100-
80-
60-
40+
20-
A
Cr.
3 4 5
Number of hours
S
7
89
Which statements about the graph are true?
10
The total cost of electricity when the business operates for 4 hours is correct.
Slope of a lineThe slope of a line is also known as rate of change, The formula for calculating the slope of a line is expressed as:
Slope = y2-y1/x2-x1
If the proportional relationship between the number of hours a business operates and its total cost of electricity is shown in the following graph.
Using the coordinate points (1, 20) and (2, 40)
Slope = 40-20/2-1
Slope = 20/1
Slope = 20
This shows that the total cost of electricity is $20 when operating business for 1 hour.
According to the coordinate point A (4, 120), this shows that the y-coordinate of point A is represents the total cost of electricity when the business operates for 4 hours.
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-5/3×3/8+3/8+6/9+14/3
Answer:
Exact Form:
61/12
Decimal Form:
5.083 with 3 repeating
Mixed Number Form:
5 1/12
Step-by-Step Explanation:
-5/3×3/8 = -5/8
-5/8+3/8= -1/4
-1/4+6/9=5/12
5/12+14/3=61/12
Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is %. write your answer up to two decimal places.
Missing data:
Viewer's Age Group Excellent Good Average Poor Marginal Total
16–25 52 42 12 7 113
26–35 33 50 5 9 97
36–45 58 12 28 34 132
46–55 25 17 22 12 76
56 + 12 5 3 8 28
Marginal Total 180 126 70 70 446
A rating of good or excellent indicates the audience liked the movie, while a rating of poor indicates the audience disliked the movie.
How to determine the rating of the film from the 46–55 age group?A movie producer accomplished a survey behind a preview screening of her latest movie to estimate how the film would be accepted by viewers from various age groups. The table displays the numbers of viewers in various age groups who ranked the film excellent, good, average, and poor.
25/446 = 0.05605
0.05605 [tex]*[/tex] 100% = 5.605%
Out of the entire respondents, the percentage of respondents from the 46–55 age group who ranked the film excellent exists at 5.605%.
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d) The perimeter of room is 28 m. and the height is 3.5 m. Find the area of 4 walls.
it's hurry give me answer fast please
Answer: 98
Step-by-step explanation:
Area of four walls = Curved surface area
= perimeter × height
= 28 × 3.5
= 98 m square