The mean of the data-set is given as follows:
E(X) = 1.8.
The standard deviation of the data-set is given as follows:
S(X) = 1.
How to obtain the mean and the standard deviation?The mean is given by the sum of all the outcomes multiplied by their respective probabilities, hence:
E(X) = 0 x 0.04 + 1 x 0.43 + 2 x 0.29 + 3 x 0.18 + 4 x 0.05 + 5 x 0.01
E(X) = 1.8.
The standard deviation is given by the square root of the sum of the difference squared between each outcome and the mean, multiplied by their respective probabilities, hence:
S(X) = sqrt[(0 - 1.8)² x 0.04 + (1 - 1.8)² x 0.43 + (2 - 1.8)² x 0.29 + (3 - 1.8)² x 0.18 + (4 - 1.8)² x 0.05 + (5 - 1.8)² x 0.01]
S(X) = 1.
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numerous studies have found a strong negative association between time spent watching television (x) and grades in school (y). in order to prove that more tv time causes bad grades we would need to do a controlled .
In order to prove that more tv time causes bad grades we would need to do a controlled Experiment.
The correlation between time spent watching television and grades in school suggests a relationship between the two variables, but it does not necessarily prove causality. In order to establish a causal relationship between the two variables, it is necessary to conduct a controlled experiment.
In a controlled experiment, the independent variable (in this case, TV time) is manipulated, while the dependent variable (grades in school) is measured. By controlling for other possible factors that may affect grades, such as study habits, home environment, and socio-economic status, it is possible to determine whether changes in TV time directly impact grades in school. This would provide stronger evidence for a causal relationship between the two variables.
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What is the range of f(x) = |x-3| +2
The range of f(x) = |x - 3| + 2 is calculated to be y ≥ 2
What is range?In geometry range refers to all the possible values of the y coordinate
using the equation f(x) = |x - 3| + 2 and plotting the values shows that the range of f(x) = |x - 3| + 2 is [2, ∞),
this means that it includes all values greater than or equal to 2, but not 2 itself.
This can be visualized on a number line as all values to the right of 2, extending towards positive infinity.
The plot is attached
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Zara is selling two kinds of baskets at a bake sale. The baskets are sold in two sizes: large and small. There are 3 cupcakes and 6 chocolate chip cookies in each small basket. There are 9 cupcakes and 12 chocolate chip cookies in each large basket. Zara has a total of 180 cupcakes and 300 chocolate chip cookies.
QUESTION 1
Write the system of inequalities that represents this situation.
Answer:
I don't know sorry :((
Step-by-step explanation:
share in other part :(
Can anyone walk me though how to solve a problem like this step by step please? please don't just post the answer I want understand it.
Answer:
[tex]p=\frac{15}{24}[/tex]
Step-by-step explanation:
A car owner pays for new brakes that cost $756.25, with a credit card that has an annual rate of 24.5%. Determine the total amount paid, if the car owner pays $100 a month, until the balance is paid off.
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
$830.52
$73.76
$892.64
$185.28
The rough calculation yields a amount of $900
How is interest charged on credit card?If you carry a balance on your credit card, the card company will multiply it each day by a daily interest rate and add that to what you owe. The daily rate is your annual interest rate (the APR) divided by 365. For example, if your card has an APR of 16%, the daily rate would be 0.044%.
Given here: price of brakes =$756.25 and annual rate on credit card is 24.25%
Thus the if installment is $100 then It will take 9 months to payoff the balance. The total interest is $73.54.
Hence, The rough calculation yields a amount of $900
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Answer:
830.52
Step-by-step explanation:
got it right on test..
Distinguish between absolute and relative difference. Choose the comect answer below OA Absolute difference is the size of the relative dference in comparison to the reference value and can be expressed as a percentage. Relative diference describes the actual increase or decrease rom a reference value to a new value. OB. Absolute diference is the actusal diference between the compared value and the reference value. Relative difference describes the size of the absolute diference in comparson to the reference value and can be expressed as a percantage OC. Absolute diterence describes he size of the relative difference in comparison to the reference value and can be expressed as a percentage. Relative dference is the actual dference between the compared value and the reference value. O D. Absolute diference describes the actual increase or decrease from a reference value to a new value.
Relative value is the opposite of absolute value. while absolute cost examines the cost of an asset or organisation with out evaluating it to any others, relative fee is primarily based on the value of similar assets or businesses.
Relative value is a technique of determining an asset's worth that takes into account the value of similar belongings. that is in contrast with absolute price, which seems most effective at an asset's intrinsic value and does not evaluate it to other assets. Absolute change refers to the easy difference inside the indicator over two intervals in time, i.e. Relative change expresses the absolute exchange as a percentage of the price of the indicator in the earlier length. A relative maximum or minimum happens at turning factors at the curve wherein because the absolute minimal and most are the proper values over the entire area of the function. In different words the absolute minimum and most are bounded by means of the area of the function.
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the daily number of absences at high school a in the state is approximately bormally distributed with mean 122 students and standard deviation of 11.5 students. if more than 140 students are absent on the day the attendance count is taken for funding purposes ,the school will lose some of its state funding in the subsequent year
the daily number of absences at high school a in the state is approximately bormally distributed with mean 122 students and standard deviation of 11.5 students.
if more than 140 students are absent on the day the attendance count is taken for funding purposes ,
the school will lose some of its state funding in the subsequent year
We are to obtain the standard deviation of the given values :
{24, 18, 31,25, 34}
The standard deviation = √(Σ(x - mean)²/ n)
The mean = (ΣX) /n
Using calculator to save computation time :
The standard deviation, s = 6.27 (2 decimal places)
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I'm trying to solve this problem but I don't know what to do
The values of the parallelogram in the figure are a = 5, x = 9 and y = 3
How to determine the values of the variablesFrom the question, we have the following parameters that can be used in our computation:
The shape is a parallelogram
By the congruence of opposite sides, this means that
2x + 25 = 4x + 7
Evaluate the like terms
2x = 18
Divide by 2
x = 9
By the congruence of opposite sides, this means that
10y + 4 = 7y + 13
Evaluate the like terms
3y = 9
Divide by 3
y = 3
Also, we have
2 * (a + 12) = 4a - 6
So, we have
2a + 24 = 4a - 6
Evaluate the like terms
6a = 30
Divide
a = 5
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The graph of part of linear function h is shown on the grid. Which inequality best represents the domain of the part shown?
The domain of the given function would be -
- 5 ≤ x < 3.
What is a function?
An function in mathematics defines a relationship between one variable (the independent variable {x}) and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.
Given is the graph of the linear equation as shown in the image.
Domain represents the set of values along the {x} - axis.
So, we can write -
- 5 ≤ x < 3
Therefore, the domain of the given function would be -
- 5 ≤ x < 3.
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A figure can have more than one line of symmetry.
How many lines of symmetry does this flag have?
(Hint: How many ways can you cut the figure in
half?)
The flag have four lines of symmetry.
What is Coordinate geometry?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.
The given flag has four lines of symmetry.
We can cut the flag in to half by horizonal way.
In the vertical way.
and we can make the flag to half by diagonal way in two ways.
Hence, the flag have four lines of symmetry.
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If 0/1=0 and 0/2=0, then we can have the equation 0/1=0/2. If we multiply both sides by 0, then why is 1≠2
The equation 1 ≠ 2 is true because 1 and 2 do not have the same value
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
If 0/1=0 and 0/2=0Then we can have the equation 0/1=0/2The above statements are true
However, when both sides of the equation are multiplied by 0, we have
0 * 0/1 = 0 * 0/2
Evaluate
0 = 0
The result is 0 = 0 and not 1 = 2
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What is the slope of the line?
Derive Linear Equations-Quiz-Level H
The slope of the line is 1/3.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Slope of a line passing through (x, y) and (x', y') is given by,
Slope = (y' - y) / (x' - x)
Consider the points on the given line.
The line passes through (0, 2) and (3, 3).
Slope = (3 - 2) / (3 - 0)
= 1/3
Hence the slope of the given line is 1/3.
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for the following exercises, determine whether the vector field is conservative and, if it is, find the potential function. 107. f(x, y)
To determine whether the vector field f(x,y) = (6x + 5y)i + (x - 2y)j is conservative, we must first calculate its curl. The curl of the vector field is the vector field given by the equation:
curl(f(x,y)) = (5 - 2)i + (1 + 6)j = 3i + 7j
Since the curl of the vector field is equal to zero, this means that the vector field is conservative.
To find the potential function for this vector field, we need to calculate the line integral of the vector field along any closed path. In other words, we need to calculate the following integral:
V(x,y) = ∫C f(x,y) ⋅ ds
Where C is any closed path. We can solve this integral using the fundamental theorem of calculus, which states that the line integral of a conservative vector field is equal to the difference between the potential function evaluated at the two end points of the path.
Thus, we can solve for the potential function by finding the value of the potential function at two points and taking the difference of these values. For example, we can choose the points (0,0) and (1,1). At (0,0), the potential function is 0, and at (1,1), the potential function is 3 + 5 + (-2) + 1 = 7. Thus, the potential function is V(x,y) = 3x^2 + xy + 2y^2.
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Given that the functions f(x) = 2x - 1 for -1 < x < 4 and g(x) = 4/(x - 2) for 3 < x < 5. What's the domain of the function h(x) = f(x) - g(x)?
(a) 3<x<4 (b) -2<h(x)<5 (c)1<h(x)<5 (d) -2<x<3 (e)NOTA
Answer:
hi !!
Step-by-step explanation:
first the domain of f(x) : 2*-1 -1 < 2x-1 < 2*4 -1 = -3 <2x-1 < 7
now the domain of g(x) : 4/(3-2) < 4/(x-2) < 4/(5-2) = 1.3 < 4/(x-2) < 4
now h(x) = -3 - 1.3 <f(x) - g(x) < 7-4 = - 4.3 < f(x) - g(x) < 3
it is the answer e : None of the Above
statistical methods are classified into two major categories: descriptive and inferential. describe the general purpose for the statistical methods in each category. descriptive statistics are generally used for which of the following? check all that apply.
Statistical methods are the processes of collecting, presenting, analyzing data, and drawing conclusions.
These methods are divided into two groups: descriptive statistics and inferential statistics.
The scope of descriptive statistics includes distributions of random and random variables, discrete and continuous random variables. For inference statistics, including statistical inference from one or two populations, analysis of variance, regression analysis, and analysis of categorical data from both random and normal populations.
Why study statistical methodsStatistical techniques include many ways to collect, present, analyze, and draw conclusions from data. By considering these methods, you can choose which method to use according to the characteristics of your data.
Choosing the right method leads to drawing the right conclusions.
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qr^0s^5t^0 x q^8rst
simplify as a single term, without a denominator
The simplified form is q⁹rs⁶t
What are index forms?Index forms are simply described as a method of writing numbers that are too large or small in more concise forms.
The other names for index forms are scientific notation and standard forms.
There are rules for index forms, some of them are;
Add the powers when multiply expressions of the same basesSubtract when dividing those of the same basesFrom the information given, we have that;
qr^0s^5t^0 x q^8rst
Note that any number raised to zero is 1, then we have;
qs⁵ × q⁸rst
Now, add the exponents of the like bases
q⁹rs⁶t
Hence, the value is q⁹rs⁶t
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Each statement describes a transformation of the graph of f(s)=s. Which
statement correctly describes the graph of y=f(x-7)+3?
A. It is the graph of ftranslated 3 units up and 7 units to the left.
B. It is the graph of ftranslated 7 units down and 3 units to the right.
C. It is the graph of ftranslated 7 units up and 3 units to the right.
D. It is the graph of ftranslated 3 units up and 7 units to the right.
The Transformation is graph of f is translated 3 units up and 7 units to the right.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given: y=f(x-7) + 3.
As, from the Rule the f(x, y) --> f(x-c, y) shows the horizontal shift on right side.
So, the function is shifted 7 units to the right.
Now, the rule f(x)--> f(x) + c shows the vertical translation up by c units.
So, the function is translated 3 units up.
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A Each box weighs 1/2 pound.
B Each box weighs 2 pound.
C Half of a box weighs 1 pound.
D Each box weighs 1 pound
Correct option is B, Each box weighs 1/2 pounds.
What does "weight pounds" mean?The pound is a unit of weight that is equivalent to 16 ounces, 7,000 grains (or 0.45359237 kg) in avoirdupois and 12 ounces, 5,760 grains (or 0.3732417216 kg) in troy and apothecaries' weight. The abbreviation lb comes from the Latin word libra, which was the origin of the contemporary pound.
a weight measurement scale: The weight of one pound is about equal to 454 grams. A kilogram is equivalent to around 2.2 pounds. One pound contains 16 ounces.
From the Latin word "poundus," which means "weight," comes its name. The elaborate L in Libra is where the £ sign originated. The pound, which represented one pound of silver weight, was a monetary unit in Anglo-Saxon England as early as 775 AD.
As per shown in graph,
Corresponding to 1 on x - axis,
the total pounds on 1 box is 1/2 on y - axis.
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A bakery sells apple pies for $12.85. If the pie has a diameter of 10 inches, what is the approximate cost per square inch of the apple pie? Round to the nearest hundredth.
The cost per square inches of the circular pie is C = $ 0.164
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
Let the cost per square inch of the apple pie be C
Let the area of the circle be represented as A
Now , the diameter of the circle is d = 10 inches
So , the radius of the circle r = d/2 = 5 inches
And , area of the circle = πr²
Substituting the values in the equation , we get
Area of Circle A = π x ( 5 )²
Area of Circle A = 78.5398 inches²
The cost of the apple pie = $ 12.85
Now , the cost for 78.5398 inches² of apple pie = $ 12.85
So , the cost for 1 inches² of pie C = 12.85 / 78.5398
On simplifying the equation , we get
The cost per square inches C = $ 0.164
Hence , the cost per square inches is $ 0.164
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Answer: would be 0.16th
hope this helped :)
Identify the volume of a regular hexagonal pyramid with base edge length 8 in. and height 10 in.,rounded to the nearest tenth.O 554.3 in3 O 1108.5 in3 O 1662.8 in3 O 3325.5 in3
The volume of the pyramid is 554.3 inches cube.
A hexagonal pyramid is a 3D design in which the base is hexagonal and the faces or sides are isosceles triangles, which come together to form the hexagonal pyramid at the summit of the pyramid. A hexagonal pyramid has six sides on the base and six isosceles triangles on the sides. Heptahedron is another name for a hexagonal pyramid. There are 7 faces, 12 edges, and 7 vertices in a hexagonal pyramid.
We have a side of a regular hexagon is 8 inches, and the height of the pyramid is 10 inches
The volume of the pyramid whose base is a hexagon
[tex]Volume=\frac{\sqrt3}{2}b^2h\\\\Volume =0.866*10*8*8\\= 554.3[/tex]
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Which description compares the domains of Function A and Function B correctly?
Function A: f(x)=−3x+2
Function B:
Half of a parabola graphed on a grid in Quadrant One with the x and y axis beginning at negative ten and increasing in increments of two until reaching ten. The parabola, labeled g of x, contains a filled in point at begin ordered pair zero comma zero end ordered pair, passes through begin ordered pair two comma two end ordered pair and begin ordered pair four comma eight end ordered pair, and as a smooth curve while extending to infinity.
The domain of both functions is the set of real numbers greater than or equal to 0.
The domain of both functions is the set of real numbers.
The domain of Function A is the set of real numbers.
The domain of Function B is the set of real numbers greater than 0.
The domain of Function A is the set of real numbers.
The domain of Function B is the set of real numbers greater than or equal to 0.
The domain of a function is the set of its possible inputs. it means that the set of input values for which the function is defined.
The domain of Function A is the set of real numbers.
The domain of Function B is the set of real numbers greater than or equal to zero.
Here, function A is given that,
Since, above function can take any value as its input.
That is function is defined for every value of x.
Therefore, The domain of Function A is the set of real numbers.
Here, graph of function B is attached.
From graph of function B, it is observed that graph of function is right side of Y - axis and starting from x = 0. It means that function B can take any value greater than equal to zero.
Therefore, The domain of Function B is the set of real numbers greater than or equal to zero.
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the following scatterplot shows the relationship between the left and right forearm lengths (cm) for 55 college students along with the regression line, left arm
The scatterplot shows a linear relationship between left and right forearm lengths in cm, for 55 college students.
The regression line is the best fit line that describes the relationship between the two variables. The formula for a linear regression line is y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line in the scatterplot is 0.95, which indicates that for every 1 cm increase in the left arm, there is a 0.95 cm increase in the right arm. The y-intercept of the regression line is 8.4, meaning that when the left arm is 0, the right arm is 8.4 cm long. The equation for the regression line in the scatterplot is y = 0.95x + 8.4. This equation can be used to predict the right arm length for any given left arm length.
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Evaluate the following definite integral. tet(i-j - 5k)dt Select the correct choice below and fill in the answer boxes to complete your choice. O A. Jtet(i -j- 5k)dt = ((i+ j+ k+c O B. Joe'-j-skydu = Oj+OK
The answer is neither A nor B for the following definite integral.The definite integral is the difference between the values of the antiderivative evaluated at the limits of integration.
The antiderivative of tet(i-j-5k) with respect to t is not a standard mathematical function, and its exact form cannot be determined without more information about the function tet(i-j-5k). The indefinite integral is represented by an arbitrary constant "c". The definite integral is the difference between the values of the antiderivative evaluated at the limits of integration, and the value of the definite integral can only be found if the limits of integration are known. Therefore, the answer is neither A nor B.
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Jenna has 10 3/4 yards of fabric. She uses 6 2/3 yards to make a banner.
How much fabric is left?
Enter your answer in the box as a mixed number in simplest form.
(answer) yards
Answer:
[tex]4\frac{1}{12}[/tex] yards
Step-by-step explanation:
[tex]\frac{43}{4} -\frac{20}{3} \\\frac{129}{12} -\frac{80}{12} \\=\frac{49}{12} \\= 4\frac{1}{12}[/tex]
A first-time homebuyer is comparing mortgage rates. Option A offers the homebuyer 5.25% annual simple interest. Option B offers the homebuyer the same interest rate but compounded semiannually. If the repayment period is the same length for both loans, which option will result in the least amount of interest added to the loan?
Option A will have the least amount of interest because simple interest generates earnings from both principal and interest.
Option A will have the least amount of interest because simple interest generates earnings from principal only.
Option B will have the least amount of interest because compound interest generates earnings from principal only.
Option B will have the least amount of interest because compound interest generates earnings from both principal and interest.
Answer:
Option A will have the least amount of interest because simple interest generates earnings from principal only.
Step-by-step explanation:
got it right :D
Find the volume of each solid. Round to the nearest tenth if necessary.. PLEASE HELP I WILL MAKE YOU BRAINLIEST IF YOU ANSWER THE CORRECT ANSWER AND GIVE A DESCRIPTION!!!
Answer:
half of 20 is 1010
Step-by-step explanation:
half of 20 is 1010 is your new radius so10^2 = 100100 x 3.14 = 314Now we multiply by the height:314 x 11 = 3,454 cm^3
Solve the initial value problem yy' + x = x2 + y2 with y(3) = -V40. a. To solve this, we should use the substitution help (formulas) U = u' = help (formulas) Enter derivatives using prime notation (e.g., you would enter y' for dy dx b. After the substitution from the previous part, we obtain the following linear differential equation in x, u, u'. help (equations) c. The solution to the original initial value problem is described by the following equation in x, y. help (equations)
The final solution for the initial value problem: y = −e∫x dx√40 − ∫x2e∫x dx − ∫y2e∫x dx.
The given initial value problem is yy′+x=x2+y2 with y(3) = −√40. To solve this we make the substitution U = u' and u = y. This transforms the given equation into the linear differential equation in x, u, and u': u'+xu=x2+u2. To solve this, we can use the integrating factor method. Multiplying both sides by the integrating factor e∫x dx gives us u'e∫x dx + xue∫x dx = x2e∫x dx + u2e∫x dx. Taking the integral of both sides, we obtain ue∫x dx = ∫x2e∫x dx + ∫u2e∫x dx + c, where c is the constant of integration. Solving for u, we have u = c/e∫x dx − ∫x2e∫x dx − ∫u2e∫x dx. Using the fact that u = y, we can substitute this expression into the equation to obtain the solution in terms of x and y: y = (c/e∫x dx) − ∫x2e∫x dx − ∫y2e∫x dx. Using the initial condition y(3) = −√40, we can solve for c to get c = −e∫3 dx√40. Substituting this into the solution, we get the final solution for the initial value problem: y = −e∫x dx√40 − ∫x2e∫x dx − ∫y2e∫x dx.
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The letters in the word AUGUST are placed in a bag. One letter will be drawn out randomly. Suppose the probability of an event is 1/2 . Which of the following events could it be?
The events with a probability of 1/2 regarding the letters of the word August are given as follows:
Picking a vowel.Picking a consonant.How to obtain a probability?A probability is obtained by the division of the number of desired outcomes by the number of total outcomes in the context of a problem.
For the six letters in the word August, we have that:
Three of these letters are vowels.Three of these letters are consonants.Hence each event has a probability of 1/2, which is the desired probability for this problem.
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write the complex conjugate of the complex number
√-12
-√12 i is the complex conjugate of the complex number√-12
What is Complex Number?A complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit.
A conjugate of a complex number is another complex number which has the same real part as the original complex number and the imaginary part has the same magnitude but opposite sign.
It's important to remember that i²=-1
This means we can rewrite
√-12 as √12i² =√12i
For complex number z=x+iy the conjugate of complex number is z=x-iy
We have z=√-12 so conjugate is -√12 i
Hence, -√12 i is the complex conjugate of the complex number
√-12
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¿Cuántas botellas de 1/4 se podrian llenar con2.750lt?
The number of 1/4 bottles is 11
How to determine the number of 1/4 bottlesFrom the question, we have the following parameters that can be used in our computation:
Size of bottles = 1/4
Volume of container = 2.750 liters
The nuber of bottles is then calculated as
Bottles = Volume of container/Size of bottles
Substitute the known values in the above equation, so, we have the following representation
Bottles = 2.750/(1/4)
Evaluate the quotient
Bottles = 11
Hence, the number of bottles is 11
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