The relation between mode, mean and median is:
mode=3median-2mean
Now, to find mean:
2mean=3median-mode
mean=7/2 = 3.5
Let we wish to evaluate the mean μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.
The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.
The random variable X¯ has a mean, denoted μX¯, and a standard deviation, denoted σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.
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52 cm - 13.1 cm = ? (Choose all correct answers.)
223 cm
39 cm
39.1 cm
223 mm
40 cm
400 mm
390 mm
030 cm
0391 mm
As per the given measurement, the value of 52 cm - 13.1 cm is 39 cm.
The term in math measurement is defined as quantifies the characteristics of an object or event, which we can compare with other things or events which is the most commonly used word, whenever we deal with the division of a quantity.
Here we have given the expression 52 cm - 13.1 cm.
As we have to subtract the expression then we have written as,
=> 52 - 13.1
When we subtract is then we get the difference as 38.9
Now, we have to round off the value then we get the result as 39 cm.
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Evelyn went shopping for a new pair of pants. Sales tax where she lives is 4%. The price of the pair of pants is $33. Find the total price including tax. Round to the nearest cent.
The total price of the pair of pants is 34.32 dollars.
How to find the total price of the pants?Evelyn went shopping for a new pair of pants. Sales tax where she lives is 4%. The price of the pair of pants is $33. Therefore, the total price of the pants including the sales tax can be calculated as follows:
Therefore,
sales tax in dollars = 4% of 33
sales tax in dollars = 4 / 100 × 33
sales tax in dollars = 132 / 100
sales tax in dollars = 1.32 dollars
Therefore,
total price3 of the pants = 33 + 1.32
total price3 of the pants = 34.32 dollars
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Given: m/X = m/Y, m/X = 4x + 18,
and m¿Y = 78°
Prove: x = 7
Statement:
1. m/X = m/Y
2. m/X= 4x+18
3. m2Y = 78°
4.4x+18= 78
5.4x=60
6.x=15
Reason:
1. Given
2. Given
3. Given
4.[? ]
5.
6. Division Property
of Equality
Select the reason that best
supports Statement 4 in the
given proof.
A. Addition Property of Equality
B. Multiplication Property of Equality
C. Given
D. Substitution
The reason that best supports Statement 4 in the
given proof is option A. Addition Property of Equality
How does it support statement 4?The statement 4, "4x + 18 = 78," is an equation that is being derived from the previous statements in the proof. The left side of the equation (4x + 18) represents the value of m/X, which was given as 4x + 18 in statement 2.
The right side of the equation (78) represents the value of m2Y, which was given as 78° in statement 3.
Therefore, statement 4 is derived by substituting the known values of m/X and m2Y into the equation m/X = m2Y, which was given as statement 1.
The reason for this substitution is the Addition Property of Equality, which states that if you add the same value to both sides of an equation, the two sides remain equal.
In this case, the same value (4x + 18) is being added to both sides of the equation m/X = m2Y, resulting in the equation 4x + 18 = 78.
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a jar contains 18 red, 12 blue, 20 yellow, 14 green marbles. what is the ratio of blue marble to the total number of marbles
The ratio of blue marbles to the total number of marbles is; 3:16.
The total number of marbles in the jar is 18 red + 12 blue + 20 yellow + 14 green = 64.
So, the ratio of blue marbles to the total number of marbles can be expressed as 12:64.
This ratio can be simplified by dividing both the numerator and denominator by the greatest common factor, which in this case is 4.
So, the simplified ratio becomes 12/4 : 64/4 = 3:16.
This means for every 16 marbles in the jar, 3 of them are blue.
The simplified ratio of 3:16 can be understood as a fraction, where the numerator represents the number of blue marbles and the denominator represents the total number of marbles in the jar.
This fraction can be converted to a percentage by multiplying it with 100, which gives 18.75%.
Therefore, the ratio of blue marbles to the total number of marbles is 12:64, which simplifies to 3:16.
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what is the area under the normal curve between z = -1.0 and z = -2.0? 0.0228 0.1359 0.4772 0.3413
The area under the curve between z = −2.0 and z = −1.0 is 0.1359.
We can use tables to find the area under the normal curve between two values of z.
However, tables give areas from z = 0 to z = 3.9 (beyond which there is literally no change). But as the normal curve is symmetric at z = 0, we can use it to find between any two given z values.
For example, for the area under the curve between z = −2.0 and z = −1.0, we can take values for z = 2.0 and z = 1.0; their difference will give the area between z = −2.0 and z = −1.0.
From tables for z = 1.0, we have 0.8413 and for z = 2.0, we have 0.9772 and
Hence, the Area under the curve between z = −2.0 and z = −1.0 is 0.9772−0.8413 = 0.1359.
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12 more than the product of 5 and a number 2 PLEASE HELP!!!
Answer: (12+5)+2
Step-by-step explanation:
12+5=17
17+2=19
Answer:
12+(5+2)
Step-by-step explanation:
you must do 5 plus 2 first because you are adding 12 to their product. which is the answer to an addition problem. so you are given...
Can anyone answer this question?
The line that represents the axis of symmetry will be the lines m, h, and g. When the figure is rotated by 120 degrees, 240 degrees, and 360 degrees then the figure remains the same.
What is the axis of symmetry?Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.
The reflection does not change the shape and size of the geometry. But flipped the image.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The line that represents the axis of symmetry will be the lines m, h, and g. When the figure is rotated by 120 degrees, 240 degrees, and 360 degrees then the figure remains the same.
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How do I covert yard into feet with fractions?
Answer: x/3
Step-by-step explanation:
Say "x" is the number of yards you are given.
remember that one yard = 3 feet.
in order to convert x amount of yards into feet, you must divide x by three.
giving you= x/3
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored greater than 65?
Multiple Choice
0.7611
−0.714
0.2611
0.2389
the probability that a student scored greater than 65 is 0.2389.
The probability that a student scored greater than 65 can be calculated using the standard normal distribution and the z-score. The z-score represents the number of standard deviations a value is from the mean, and can be calculated as follows:
z = (x - mean) / standard deviation
Where x is the score of interest (65)
Mean is the average score of the students (70)
Standard deviation is the standard deviation of the scores (7).
Plugging in the values, we get
z = (65 - 70) / 7 = -0.714.
Using a standard normal distribution table, we can find the probability that a student scored greater than 65 by finding the area to the right of the z-score. The probability of a student scoring greater than 65 is approximately 0.2389, or 23.89%.
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I need help please! It's due today
The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The slope intercept form of a line is:
y = mx + b
where m is the slope and b is the y intercept
Monique graph passes through (0, 0) and (2, -1). Hence:
y - 0 = [(-1 - 0)/(2 - 0)](x - 0)
y = (-1/2)x
Clarence graph passes through (0, 0) and (2, 1). Hence:
y - 0 = [(1 - 0)/(2 - 0)](x - 0)
y = (1/2)x
Jose graph passes through (0, 1) and (-2, -2). Hence:
y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)
y = 1.5x + 1
Quincy graph passes through (0, -1) and (-2, 2). Hence:
y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)
y = -1.5x - 1
The equation Monique graph is y = (-1/2)x
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Calculate the integral approximations T6 and M6 for?(a=1)(b=2)x^6dx.T6 =M6 =
The approximate values for the definite integral of x⁶ over the interval [1, 2].
An integral is a mathematical tool used to calculate the total amount of some quantity that changes continuously over a given interval.
The Trapezoidal rule approximates the definite integral of a function by dividing the interval of integration into a number of smaller subintervals, and then using trapezoids to approximate the area under the curve.
The formula for T6 is:
T6 = (b-a) * (f(a) + f(b)) / 2,
where a and b are the limits of integration, and f(x) is the function being integrated.
However, instead of using trapezoids, the Midpoint rule uses rectangles to approximate the area under the curve.
The formula for M6 is:
M6 = (b-a) * f((a + b) / 2)
To calculate T6 and M6 for the integral (a=1)(b=2)x⁶dx, we need to use the formulas above and plug in the appropriate values for a, b, and f(x). The function f(x) is x⁶, so:
T6 = (2 - 1) x (1⁶ + 2⁶) / 2 = 1 x (1 + 64) / 2 = 32.5
M6 = (2 - 1) x (2⁶)¹/₂ = 1 x (64)¹/₂ = 8
So, T6 = 32.5 and M6 = 8.
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This question is designed to be answered without a calculator. If f(x) = x2 and g(x) = x - 4, what is the domain of g(f(x))? O all real numbers O all real numbers x 20 O all real numbers x 24 O all real numbers x 22
If the function f(x) = x² and function g(x) = √(x - 4) , then the domain of g(f(x)) is (d) all real numbers |x| ≥ 2 .
The Domain of a function is defined as the set of all input values for which the function is defined and produces a valid output.
⇒ The domain of f(x) = x² is all real numbers because squaring any real number results in a valid result .
⇒ The domain of g(x) = √(x - 4) ; we know that the square root of a number must be non-negative.
The square root is taken of (x - 4), so (x - 4) must be ≥ 0 . This means that x must be ≥ 4.
The domain of g(f(x)), we need to substitute f(x) into g(x).
So, g(f(x)) = g(x²) = √(x² - 4).
The domain of this expression is all real numbers x such that
⇒ x² - 4 ≥ 0 and
⇒ |x| ≥ 2. This is because x² must be ≥ 4, and taking the square root of a positive number results in a valid result .
Therefore , the domain of g(f(x)) is (d) all real numbers |x| ≥ 2 .
The given question is incomplete , the complete question is
If f(x) = x² and g(x) = √(x - 4) , what is the domain of g(f(x)) ?
(a) all real numbers
(b) all real numbers x ≥ 0
(c) all real numbers x ≥ 4
(d) all real numbers |x| ≥ 2 .
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You design a tree house using a coordinate plane in which the coordinates are measured in meters ( m ). The vertices of the rectangular floor are (0,5), (4,3) ,(4,13) and (8,11).
Part A: What is the perimeter of the tree house floor?
Part B: What is the area of the tree house floor?
The area of the rectangle is 36.83 m² and perimeter is 25.42 m
What is rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, you design a tree house using a coordinate plane in which the coordinates are measured in meters. The vertices of the rectangular floor are (0,5), (4,3), (4,13) and (8,11).
We know that, distance between two points is = [tex]\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_1)^2}[/tex]
Distance between (0,5) and (4,3) = [tex]\sqrt{(4-0)^2+(3-5)^2}[/tex]
= [tex]\sqrt{16+4}[/tex]
= 4.47 m
Distance between (4, 3) and (8, 11) = [tex]\sqrt{(8-4)^2+(11-3)^2}[/tex]
= [tex]\sqrt{4+64}[/tex]
= 8.24 m
Therefore, in reference to the rectangle given, the length = 8.24 m and width = 4.47 m
Area of the rectangle = 4.47 x 8.24 = 36.83 m²
Perimeter = 2(4.47+8.24) = 2 x 12.71 = 25.42 m
Hence, the area of the rectangle is 36.83 m² and perimeter is 25.42 m
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What is the quotient of (x4 − 3x3 + 6x2 − 12x + 8) ÷ (x − 1)?
The quotient of the division is x^3 - 2x^2 + 4x - 8
How to determine the quotientFrom the question, we have the following parameters that can be used in our computation:
quotient of (x4 − 3x3 + 6x2 − 12x + 8) ÷ (x − 1)?
Using the long division method of quotient, we have
x - 1 | x^4 - 3x^3 + 6x^2 - 12x + 8
The division steps are as follows
x^3 - 2x^2 + 4x - 8
x - 1 | x^4 - 3x^3 + 6x^2 - 12x + 8
x^4 - x^3
------------------------------------------------
-2x^3 + 6x^2 - 12x + 8
-2x^3 + 2x^2
------------------------------------------------
4x^2 - 12x + 8
4x^2 - 4x
------------------------------------------------
-8x + 8
-8x + 8
----------------------------------------------------
Hence, the quotient is x^3 - 2x^2 + 4x - 8
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The Tasty as Pi Bakery has two locations! Each location offers the same flavors. Both locations display one pie of each flavor in a rectangle.
The downtown location has $4$ rows in its display. The uptown location has $6$ rows in its display. If one of the locations has a square display, how many pies are in each of the other location's rows?
Answer:
dd osama
Step-by-step explanation:
A culture begin with 3,800 bacteria. After one hour, the count i 10,000. A. Write an exponential equation in the form y=ab^x that model the number of bacteria after x hour
B. How many bacteria are preent after 6 hour
The function is y = 3800 * (2.63)^x
There are 1257529 bacteria after 6 hours.
The function of the scenarioA. Let y be the number of bacteria after x hours.
We know that y=10,000 when x=1 and
y=3,800 when x=0.
So we can write the equation as follows:
y = 3800 * (10,000/3,800)^x
Evaluate
y = 3800 * (2.63)^x
The bacteria after 6 hoursB. To find the number of bacteria after 6 hours, we substitute x=6 into the equation above:
y = 3800 * (2.63)^6
Evaluate
y = 1257529
So, there are 1257529 bacteria after 6 hours.
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I need help with maths please
Answer:
Below
Step-by-step explanation:
Perimeter A = 2 (x+2 +x) = 4x + 4
Perimeter B = 2 ( 4x+2x) = 12x
now,equate them
4x+4 = 12x solve for x ....subtract 4x from both sides
4 = 8x
x = 1/2
Jace is going to an amusement park. The price of admission into the park is $15, and once he is inside the park, he will have to pay $5 for every ride he rides on. How much money would Jace have to pay in total if he goes on 5 rides? How much would he have to pay if he goes on rr rides?
The amount of money that Jace would have to pay in total if he goes on 5 rides is; $40
The amount of money that Jace would have to pay in total if he goes on r rides is; 5r + 15
How to solve Algebra Word problems?The general form of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, Since the price of admission into the park is $15, it means that it is the y-intercept. Thus, c = $15
He pays $5 for every ride and as such this will be the slope. Thus;
Total cost = 5x + 15
where x is number of rides
For 5 rides;
Y(5) = 5(5) + 15
= $40
For r rides, the total cost is;
y(r) = 5r + 15
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what is the highest common factor of 90 and 252
Answer:
Step-by-step explanation:
its 18 ღ
es urgentee ayuda porfa
De acuerdo con la información, se puede inferir que la respuesta correcta es la opción C. Solo III, debido a que las otras afirmaciones están erradas.
¿Cómo identificar las afirmaciones correctas?Para identificar las afirmaciones correctas debemos evaluar cada una de ellas tendiendo en cuenta la información principal. En el caso de la primera afirmación es falsa debido a que 21 monedas representan un cuarto del dinero total entonces habría 84 monedas en total, no 27.
En el caso de la segunda afirmación es falsa debido a que el enunciado dice que hay 12 monedas de 5$ por lo que habría más monedas de las que dice en la opción.
En el caso de la tercera afirmación es verdadera debido a que el dinero total sí equivale a $600 como se muestra a continuación:
12 * $5 = $60
9 * $10 = $90
$90 + $60 = $150
$150 * 4 = $600
Por lo anterior, la afirmación III es verdadera, entonces la opción C sería la única correcta.
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What is the equation of the line that is perpendicular to the line 5x - 3y = 2 and passes through the point (- 1/4, 3/5) ?
Answer:
y= -3/5x+9/20
I graphed it to be sure it works. Hope this helped!
Step-by-step explanation:
Which ordered pair represents point F?
Responses
(0, 5)
(0, -5)
(5, 0)
(-5, 0)
Answer:
(-5, 0)
Step-by-step explanation:
Answer:
D (-5,0)
Step-by-step explanation:
OOOOOOOOOOOOOOOOOOOOOOOO
please please please
i have literally been working on this all day :(
Answer:
a=4, b = 12
Step-by-step explanation:
This is a relatively simple question once you break it down. Make two equations based on the rectangles given:
64 = 4b + 4a
56 = 8a + 2b
64 = 4b + 4a => 64 = 4 (b+a) => 16 = b + a
isolate for a variable (any will do I just chose b)
16 - a = b
56 = 8a + 2b => 56 = 2(4a + b) => 28 = 4a + b
isolate for b then plug in equation
28 - 4a = b
16 - a = 28 - 4a
28 - 16 = -a + 4a
12 = 3a
4 = a
16 - a = b
b = 16 - 4
b = 12
Assuming my math is right, this should be your answer
–6g + –g − –14g − –10g + –2g = –15
can you help me please just doing my ixl
Hello/Salut
–6g + –g − –14g − –10g + –2g = –15
–7g - –14g - –10g + –2g = –15
7g - –10g + –2g = –15
17g + –2g = –15
15g = –15
g = –1
I hope it was helpful! :]
you want to watch a play, the ticket for which costs $100. you have just arrived at the theater to buy your ticket and discover that you have lost a $100 bill from your wallet. do you buy a ticket and see the play anyway?
This is a difficult decision that you have to make. On the one hand, you really want to see the play and have come all this way to do so.
On the other hand, you have lost a $100 bill and may not be able to afford a ticket. Ultimately, it is your decision to make. If you have the financial means, you could consider buying a ticket and seeing the play. Alternatively, you could look for discounted tickets if available or wait until you have the funds available before buying a ticket.
The cost of a ticket to watch a play depends on the venue, seating arrangements, and other factors. Generally speaking, tickets for a play can range from around $10 to upwards of $100, depending on the show and its popularity.
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Higher the weight of the variable in a standardized predictor environment, we can say that the particular variable has a higher discriminating power. True or False?
False. The weight of a variable in a standardized predictor environment does not necessarily indicate that the variable has a higher discriminating power.
Discriminating power is determined by the correlation of a predictor variable with the outcome variable. We can calculate the correlation between a predictor variable and an outcome variable using Pearson's correlation coefficient, which is represented by the formula:
r = (NΣXY - (ΣX)(ΣY)) / √[(NΣX2 - (ΣX)2)(NΣY2 - (ΣY)2)].
In this formula, N is the sample size, ΣX is the sum of the predictor variable, ΣY is the sum of the outcome variable, ΣXY is the sum of the products of the predictor and outcome variables, and ΣX2 and ΣY2 are the sums of the squares of the predictor and outcome variables, respectively. The Pearson's correlation coefficient ranges from -1 to +1, with +1 indicating perfect positive correlation, 0 indicating no correlation, and -1 indicating perfect negative correlation. A higher correlation coefficient indicates a higher discriminating power.
Therefore, the weight of a variable in a standardized predictor environment does not indicate whether or not the variable has a higher discriminating power; this is determined by the correlation between the predictor and outcome variables.
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Please answer 1 SIMPLE question.
Answer: Maybe B
Step-by-step explanation:
Guess from heart.
if x equals to 1 by x = 5 find the value of x square + 1 divided x square
Сильные слабые стороны человека
Answer:
Сильные:
Упорный, нацеленый на результат
Уверен в себе
Трудолюбивый
Общительный
Организованный
Самостоятельный
Дисциплинированный
Слабые:
Излишне стеснительный
Чрезмерно эмоциональный
Раздражительный и даже агрессивный
Не обладающий силой воли
Не умеющий вовремя промолчать
Гиперактивный
Принципиальный
a random sample is to be selected from a population. for which combination of n and p is it reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal?
For the combination of n = 25 and p = 0.5 it is reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal.
As per the given data:
A random sample is to be selected from a population
Here we have to determine for which combination of n and p is reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal.
For this we have to multiply the value of n and the value of p.
Option (A):
n = 10 and p = 0.4
np = 10 × 0.4
np = 4
Option (B):
n = 25 and p = 0.5
np = 25 × 0.5
np = 12.5
Option (C):
n = 30 and p = 0.2
np = 30 × 0.2
np = 6
Option (D):
n = 40 and p = 0.1
np = 40 × 0.1
np = 4
Option (E):
n = 100 and p = 0.05
np = 100 × 0.05
np = 5
Compare all the combinations of np.
Option (B) is correct because it has the highest value of np.
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A random sample is to be selected from a population. For which combination of n and p is it reasonable to assume that the sampling distribution of the sample proportion p will be approximately normal?
(A) n = 10 and p = 0.4
(B) n = 25 and p = 0.5
(C) n = 30 and p = 0.2
(D) n = 40 and p = 0.1
(E) n = 100 and p = 0.05
