What is true about the population and sample of the survey is that;'
The population is the total number of people who go to the movie theater, and the sample is the first 100 people at the theater.
How to Identify the Population and sample of the data?In statistics, the population is defined as the entire group that you want to draw conclusions about. However, the sample is defined as the specific group that you will collect data from. The size of the sample is always less than the total size of the population. In research, a population doesn't always refer to people.
Now, we are told that a survey is taken at a movie theater in Wayside. The first 100 people who entered the theater were asked about their favorite type of movie.
Thus, the sample will be 100 people surveyed as they are part of the entire people at the movie theater.
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Match the graph of the system of equations with the appropriate description of the solution.
No solution.
The solution is (0, 0).
The solution is (-1, -2).
There are infinitely many solutions.
The requried solution of the system of equations is (-1, -2). Option C is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Two intersecting lines will have exactly one solution (i.e., a unique point of intersection) if and only if they are not parallel.
In other words, if the slopes of the two lines are different, they will intersect at a single point. This is because the slopes of the lines determine how steep they are, and if they are not the same, they will eventually cross at a single point. So from the graph, both lines intersect at (-1, -2) implying that The solution is (-1, -2).
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Gabrielle is 5 years older than mikhaik. The sun of their ages is 91. What is mikhail’s age?
Select the correct answer. Which is a warning sign that someone needs the help of a mental health professional? a. Feeling shy when asked to walk onstage b. Overeating to increase bodily strength c. Inablity to sleep properly for weeks.
Inability to sleep properly for weeks is a warning sign that someone needs the help of a mental health professional. Correct option is C.
Difficulty sleeping, or insomnia, can be a warning sign that someone needs the help of a mental health professional. Insomnia can be caused by a number of mental health conditions, such as anxiety, depression, or post-traumatic stress disorder (PTSD), as well as other factors such as stress, poor sleep habits, or physical health problems.
Feeling shy when asked to walk onstage and overeating to increase bodily strength may be signs of anxiety or other emotional or psychological issues, but they are not necessarily warning signs that someone needs the help of a mental health professional.
However, if these behaviors are causing significant distress or interfering with daily life, it may be a good idea to seek the help of a mental health professional.
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What is the percentage increase in the estimated number of millionaire households from 2017 to 2018 ? Round to the nearest tenth of a percent
Answer:
Step-by-step explanation:
To calculate the percentage increase in the estimated number of millionaire households from 2017 to 2018, we need to follow these steps:
Determine the estimated number of millionaire households in 2017 and 2018. Let's call these numbers A and B, respectively.
Subtract the 2017 number from the 2018 number: B - A = C
Divide the result from step 2 by the 2017 number: C / A = D
Multiply the result from step 3 by 100 to convert it to a percentage: D * 100 = E
Round the result from step 4 to the nearest tenth of a percent.
In this case, we are given the percentage increase, so we can skip steps 1-4 and simply round the given percentage increase to the nearest tenth of a percent.
Fill in the table for y = 3x - 1
Answer:
1. -7
2. -1
3. 5
Step-by-step explanation:
Substitute the value given into the equation
given that f(x)= 7x-1 and g(x) = 7-x^2, calculate
help would be appreciated
The perimeter of the parallelogram is 10units
What is perimeter of a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. The Sum of all the interior angles equals 360 degrees.
To obtain the perimeter of the parallelogram , we add all the sides together.
P = 2(l+b)
P= 2( c-2+12-c)
P = 2( c-c -2 +12 )
P = 2( 10)
P = 20
therefore the perimeter of the parallelogram is 20
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Show all of your work required to find the derivative of the function given by
[tex]f(x)=\frac{3x*cos(x)+\sqrt{x} }{5x^{2}*(sin(x)+1)}[/tex]
The derivative of the composite function f(x) = (3 · x · cos x + √x) / [5 · x² · (sin x + 1)] is equal to f'(x) = [[3 · cos x - 3 · x · sin x + (1 / 2√x)] · [5 · x² · (sin x + 1)] - (3 · x · cos x + √x) · [5 · x · (sin x + 1) + 5 · x² · cos x]] / [5 · x² · (sin x + 1)]².
How to determine the derivative of a composite function
In this problem we must determine the derivative of the composite function f(x) = (3 · x · cos x + √x) / [5 · x² · (sin x + 1)]. This can be done by using the following derivative rules:
Derivative of the addition of two functions
d [f(x) + g(x)] / dx = df(x) / dx + dg(x) / dx
Derivative of the product of two functions
d [f(x) · g(x)] / dx = [df(x) / dx] · g(x) + f(x) · [dg(x) / dx]
Derivative of the division of two functions
d[f(x) / g(x)] / dx = [[df(x) / dx] · g(x) - f(x) · [dg(x) / dx]] / [g(x)]²
Derivative of a function and a constant
d [c · f(x)] / dx = c · df(x) / dx
Derivative of a power function
d [xⁿ] / dx = n · xⁿ⁻¹
Derivative of cosine
d [cos x] / dx = - sin x
Derivative of sine
d [sin x] / dx = cos x
Now we proceed to determine the derivative of the function by derivative rules:
f'(x) = [d [3 · x · cos x + √x] / dx · [5 · x² · (sin x + 1)] - (3 · x · cos x + √x) · d [5 · x² · (sin x + 1)] / dx] / [5 · x² · (sin x + 1)]²
f'(x) = [[3 · cos x - 3 · x · sin x + (1 / 2√x)] · [5 · x² · (sin x + 1)] - (3 · x · cos x + √x) · [5 · x · (sin x + 1) + 5 · x² · cos x]] / [5 · x² · (sin x + 1)]²
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Task
You put two targets in the field. The coordinates for target 1 (6 Points).
The coordinates for target 2 (4 points). See the figure below.
Messi
Ronaldo
2
1
2
: 1 times
: 3 time
larg42
farget 1
4
5
You asked the players to shoot the ball on the targets 4 times. You added that if
they hit one of the targets, they get the target points.
Test 1:
Messi shot the ball. His ball followed the path of the equation where x is the target
points:
3(3x - 4) = 24
6.8 (2.3x + 5.7) = 132.6
The first equation 3(3x - 4) = 24 can be solved for x as follows:
3(3x - 4) = 24
9x - 12 = 24
9x = 36
x = 4
So, if Messi hit the target, he would score 4 points.
The second equation 6.8 (2.3x + 5.7) = 132.6 can be solved for x as follows:
6.8 (2.3x + 5.7) = 132.6
2.3x + 5.7 = 132.6 / 6.8
2.3x + 5.7 = 19.55
2.3x = 13.85
x = 6
So, if Ronaldo hit the target, he would score 6 points.
A typical glass of wine contains about 22 grams of alcohol. Consider a 103-pound woman, with approximately 6 liters (6000 milliliters) of blood, who drinks two glasses of wine. Complete parts (a) and (b) below.
If all the alcohol were immediately absorbed into her bloodstream, what would her blood alcohol content be? (Round to two decimal places as needed.) g/100 mL
Answer: The amount of alcohol the woman consumed can be calculated as follows:
Two glasses of wine * 22 grams of alcohol per glass = 44 grams of alcohol
To convert this amount to milliliters, we need to know the concentration of the alcohol, which is typically around 12% for wine. So, 44 grams of alcohol is equivalent to 44 grams / 0.12 g/mL = 367 mL.
Next, we can calculate the woman's blood alcohol content (BAC) using the following formula:
BAC = (Alcohol consumed in mL) / (Blood volume in mL) * 100%
The blood volume for a 103-pound woman with approximately 6 liters of blood can be estimated as follows:
6 liters * 1000 mL/liter = 6000 mL
So, the BAC can be calculated as follows:
BAC = (367 mL) / (6000 mL) * 100% = 0.0612 * 100% = 6.12%
Therefore, the woman's blood alcohol content would be 6.12% if all the alcohol were immediately absorbed into her bloodstream.
Step-by-step explanation:
what is the pattern for each hypotenuse in the pythagorean spiral?
i have:
Hypotenuse = (Triangle # + 1) X 9
(square root the answer)
does this make sense?
The pattern for the hypotenuse in the Pythagorean spiral is √(a² + b²)
How to get the patternThe Pythagorean spiral is formed by drawing squares whose side lengths are given by the Pythagorean triples, which are sets of three positive integers (a, b, c) that satisfy the equation a² + b² = c².
In the Pythagorean spiral, the hypotenuse of each square is the diagonal of the square, which is given by the square root of the sum of the squares of the sides. For a square with side lengths a and b, the hypotenuse (diagonal) is given by:
√(a² + b²)
Since the side lengths of each square in the Pythagorean spiral are given by the Pythagorean triples, the hypotenuse of each square can be calculated using the Pythagorean theorem. Therefore, the pattern for each hypotenuse in the Pythagorean spiral is that it is given by the square root of the sum of the squares of the side lengths, where the side lengths are integers that form a Pythagorean triple.
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identify the range of the following function when given the domain (2,3,10) y=4x-12
Answer: range is (-4,0,28)
Step-by-step explanation:
Graph the line using the slope and the y-intercept, or the points.
The correct answers are:
Slope: 4y-intercept: (0,12)What is a domain?
The word "domain" is used with other related meanings in some areas of mathematics. In topology, a domain is a connected open set. In real and complex analysis, a domain is an open connected subset of a real or complex vector space.
The slope-intercept form is y =mx + b where m is the slope and b is the y-intercept:
→ y = mx + b
Find the values of m and b using the form y = mx + b:
m = 4
b = 12
Therefore, Graph the line using the slope and the y-intercept, or the points.
The correct answers are:
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In Exercises 4 and 5, show that the triangles are similar and write a similarity statement.
Explain your reasoning.
ΔXVZ and ΔXWY are similar by SAS property of similarity.
We have,
ΔXVZ and ΔXWY
XW/WV = XY/YZ
15/20 = 27/36
3/4 = 3/4
The ratio of two pairs of corresponding sides is equal. ______(1)
And,
m∠XWY = m∠XVZ = 90
The included angle of the two triangles is equal. ________(2)
Now,
From (1) and (2),
ΔXVZ and ΔXWY are similar.
By SAS property of similarity.
Thus,
ΔXVZ and ΔXWY are similar by SAS property of similarity.
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If the figure below is reflected over the y-axis, what are the coordinates of c’? I need IT ALL!
Given diagram drawn on the graph is parallelogram.
For find out 4th coordinate of parallelogram.
We must know the basics of graph.
Graph can defined as pictorial representation using data or point in the organized manner.
Graph having x-coordinate and y-coordinate.
For find out the location of point.
We must know how to locate coordinates.
For find X-point , parallel distance from y-axis.
For find Y-point , parallel distance from x-axis.
Observe the given diagram.
Find out the parallel distances of x-axis and y-axis.
4th coordinate of parallelograms is c(2,-5).
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what decimal is equivalent to 29 11
Answer:
2.64
Step-by-step explanation:
The function f is defined by the following rule.
f(x)=4x+2
Complete the function table.
table
x f(x)
-4 ?
-1 ?
1 ?
2 ?
5 ?
The function table.
table
x f(x)
-4 4(-4)+3 = -16+3 = -13
0 4(0)+3 = 0+3 = 3
2 4(2)+3 = 8+3 = 11
4 4(4)+3 = 16+3 = 19
5 4(5)+3 = 20+3 = 23
What is Function?
A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
We can complete the function table by substituting the given values of x into the rule for f(x) and simplifying in the following table.
Therefore, the completed function table is as follows.
so final table is
x f(x)
-4 -13
0 3
2 11
4 19
5 23
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The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area.
The missing value in the expression A = -2(x-9)² + ? is 162, which represents the maximum area of the storage bin.
What is Perfect Square?A perfect Square is defined as an integer multiplied by itself to generate a perfect square, which is a positive integer. Perfect squares are just numbers that are the products of integers multiplied by themselves.
To complete the perfect square, we need to factor out the coefficient of the squared term (-2) from the expression:
A = -2x² + 36x
A = -2(x² - 18x)
Next, we need to add and subtract the square of half the coefficient of the x-term (-18/2 = -9) inside the parentheses:
A = -2(x² - 18x + (-9)² - (-9)²)
Simplifying the expression inside the parentheses, we get:
A = -2[(x - 9)² - 81]
Distributing the -2, we get:
A = -2(x - 9)² + 162
Therefore, the missing value in the expression is 162.
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» Use unit cubes to find the volume of the rectangular prism.
Complete the sentence.
There are
cubes in each layer
layers.
The volume of the rectangular prism based on the assumed values will be 640 inches³.
How to calculate the volumeIt should be noted that to find the volume of a rectangular prism, we have to multiply the length of the prism by the width of the prism by the height of the prism.
Let's assume that the base length of a rectangular prism is 8 inches, the base width is 5 inches and the height of the prism is 16 inches, as we want to find the volume of the rectangular prism.
The volume of the rectangular prism formula, the volume of rectangular prism = length × width × height of the prism
= 8 × 5 × 16
= 640 cubic inches.
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PLEASE HELP ME!!!!! CORRECT ANSWER GETS BRAINLIEST
Answer:
So, Darmal needs to work more than 8.96 hours to earn more than $128.
Step-by-step explanation:
The situation represented by the inequality 14.25x > 128 is B. Darmal earns $14.25 per hour at his job. How many hours does he need to work to earn more than $128?
The inequality states that the product of 14.25 and x (representing the number of hours worked) is greater than 128. Solving for x, we can find the number of hours Darmal needs to work to earn more than $128:
14.25x > 128
x > 128 / 14.25
x > 8.96
So, Darmal needs to work more than 8.96 hours to earn more than $128.
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options
The solution of the linear equation with a single variable (3/5) (30x - 15) = 72 will be 4.5. Then the correct options are C, D, and E.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
(3/5) (30x - 15) = 72
Solve the linear equation with a single variable for 'x', then we have
(3/5) (30x - 15) = 72
3(6x - 3) = 72
18x - 9 = 72
18x = 81
x = 4.5
The solution of the linear equation with a single variable (3/5) (30x - 15) = 72 will be 4.5. Then the correct options are C, D, and E.
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comb
I
Solving Right Triangles
Find the missing side. Round to the nearest tenth.
1)
3)
72°
6
24°
2015
12
2)
4)
73%
X
37°
12
Date
Per
Bro Use SOH CAH TOA and you check through to now whether u use Cos, Sine or tan
please help with this math,
Question 4
Component of mix Year 1 Year 2 Standard weight
A Po Pn W
3.00 6.00 16
B 6.80 8.50 6
C 20.80 17.68 2
Using information in the table above, Compute the weighted average of relatives and the weighted average price index.
The weighted average price index is 171, which means that the average price of the components in Year 2 was 171% of their average price in Year 1.
How to find the weighted average price index?To compute the weighted average of relatives, we need to find the weighted average of the ratio of the prices of each component in Year 2 to Year 1. Let's call this ratio the "relative price".
Relative price for component A = Po Year 2 / Po Year 1 = 6.00 / 3.00 = 2.00
Relative price for component B = Pn Year 2 / Pn Year 1 = 8.50 / 6.80 = 1.25
Relative price for component C = Pn Year 2 / Po Year 1 = 17.68 / 20.80 = 0.85
Next, we'll find the weighted average of the relatives by summing the product of each relative price and its corresponding standard weight, and dividing by the sum of the standard weights.
Weighted average of relatives = (2.00 * 16 + 1.25 * 6 + 0.85 * 2) / (16 + 6 + 2)
= (32 + 7.5 + 1.7) / 24
= 41.2 / 24
= 1.71
The weighted average of relatives is 1.71, which means that the average price of the components increased by 71% from Year 1 to Year 2.
To compute the weighted average price index, we'll use the weighted average of relatives as a reference point and multiply it by 100.
Weighted average price index = Weighted average of relatives * 100
= 1.71 * 100
= 171
Therefore the weighted average price index is 171, which means that the average price of the components in Year 2 was 171% of their average price in Year 1.
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What is the surface area of the box?
A. 160 square inches
B. 46 square inches
C. 92 square inches
D. 184 square inches
Answer:
D
Step-by-step explanation:
Front
5x4 = 20
Back
5x4 = 20
Top
5x8 = 40
Bottom
5x8 = 40
Right side
8x4 = 32
Left side
8x4 = 32
Add all the sides
20 + 20 + 40 + 40 + 32 +32 = 184
(1.3+0.2) divided by 5+2.7 using BODMAS
Answer:
6
Step-by-step explanation:
(1.3 + 0.2) / 5 + 2.7
1) 1.3 + 0.2 = 1.5
2) 1.5 / 5 = 0.3
3) 0.3 + 2.7 = 6
P.S. check if I wrote the example correctlyA typical speed limit in Europe is 50 km/h (kilometers per hour). How fast is that in mph (miles per hour)? Round your answer to one decimal place!
Answer:
To convert from kilometers per hour to miles per hour, we use the conversion factor of 1 mile per hour = 1.609 kilometers per hour.
So, 50 km/h = 50 x 1.609 mph = 80.45 mph
Rounding to one decimal place, the answer is 80.5 mph.
The typical speed limit in Europe is,
⇒ 833.3 miles per hour.
We have to given that,
A typical speed limit in Europe is, 50 km/h (kilometers per hour).
We can change the speed limit from kilometers per hour in miles per hour.
⇒ 50 kilometers per hour
⇒ 50 × 1000 / 60 miles per hour.
⇒ 50000 / 60 miles per hour.
⇒ 833.3 miles per hour.
Therefore, The typical speed limit in Europe is,
⇒ 833.3 miles per hour.
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The ratio of your age to Jasper is 3:4. If you are 14, how old is Jasper?
Answer:10 1/2
Step-by-step explanation:
Jasper is approximately 18.67 years old as per the given ratio.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, the ratio of your age and the age of Jasper is 3:4.
Let's use this ratio to find out how old Jasper is if you are 14.
First, we can set up a proportion:
3/4 = 14/x
where x is Jasper's age.
To solve for x, we can cross-multiply:
3x = 4 * 14
3x = 56
x = 56/3
x ≈ 18.67
So if you are 14 and the ratio of your age to Jasper's age is 3:4, then Jasper is approximately 18.67 years old.
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Some candles are in the shape of a right circular cylinder. For one such candle, the radius is 9 cm and the height is 26.5 cm. Find the volume of the candle.
Round your answer to the nearest whole number. Do not type the units in the space below.
(Be sure to use the pi button on your calculator to do the calculation.)
Step-by-step explanation:
the volume of such a regular cylinder is (as for any regular object) :
base area × height
and for a cylinder the base area is a circle, and its area is
pi×r²
so, combined, the volume of our cylinder is
pi×r²×height = pi×9²×26.5 = pi×81×26.5 =
= 6,743.428631... cm³
≈ 6,743 cm³
The
is calculated by putting the data in
order and selecting the middle value.
The
iS the data value that occurs the
most in a set of data.
The
is the difference between the
maximum and minimum values of a data set.
The
v is the sum of the data divided by
the number of data values?
The statistical measures relative to each definition are given as follows:
The median is calculated by putting the data in order and selecting the middle value.The mode is the data value that occurs the most in a set of data.The range is the difference between the maximum and minimum values of a data set. The mean is the sum of the data divided by the number of data values.How to complete the sentences?The sentences are completed using four statistical measures, and their definitions, as follows:
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1.8 The first two terms of a geometric sequence are 2 and 3 respectively. - Determine the smallest number of terms which will yield a sum larger than 12.
Answer:
I know that answer
Step-by-step explanation:
answer is -23
Fill in the blanks so that the solution of the system is (5, 5).
x + y = −5
y = −x +
The requried complete system of equation is given as -2x + y = -5 and y = -x + 10.
What is a system of the simultaneous equations?A system of simultaneous equations, also known as a system of equations, is a set of two or more equations that must be solved at the same time. In a system of two equations, for example, the solution is the set of values of the variables that satisfy both equations simultaneously.
Here,
Given equation are
_x + y = −5 - -- - - -(1)
y = −x + _ - - - - - (2)
Now,
Let the coefficient of x in equation 1 is m and the intercept of equation 2 be y,
In equation 1,
Put the given points (5, 5)
m(5) + 5 = - 5
5m = -10
m = -2
Now,
Put the same point equation 2 with C
5 = -5 + C
C = 10
Thus, the requried complete system of equation is given as -2x + y = -5 and y = -x + 10.
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