The equation of a line given point (0, -4) and (5, -4) be y + 4 = 0.
What is meant by slope intercept form?Writing an equation for a line in the form y = mx + b is known as slope intercept form in mathematics. The m indicates the line's slope, while the b indicates the y-intercept. When attempting to locate a point on a line or determine y given x, the slope intercept form is utilized.
The equation may be constructed as soon as it is realized that the Y-coordinates of the provided two points through which the line travels are identical.
y = -4, or, y + 4 = 0
This behaviour of points on a line occur, when and only when, the line exists Horizontal,
i.e., line [tex]$\|$[/tex] to the x-axis.
Use the formula for the equation of a line passing through the points
[tex]$\left(x_1, y_1\right)$[/tex] and [tex]$\left(x_2, y_2\right)$[/tex] given by, [tex]$: \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$[/tex]
substitute the values in the above equation, we get
[tex]$\frac{y+4}{x-0}=\frac{-4+4}{5-0}=0 \Rightarrow y+4=0$$[/tex]
Therefore, the equation of a line given point (0, -4) and (5, -4) be y + 4 = 0.
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ACTIVITY 1.13 Indicate the GAAP concepts that relate to the following statements: 1. Land and buildings are shown in the Statement of Financial h R250 000, even though the municipal valuation indicates 2. When merchandise is sold, the selling price and cost price is the same time. 3. The owner of the business wins R1 000 in a competition. This not recorded in the books of the business. 4. Petrol costs and servicing of vehicles recorded "Motor expense Controll
The purpose of GAAP standards is to guarantee the reliability, accuracy, and consistency of the financial data presented to investors and regulators.
Where Are Generally Accepted Accounting Principles (GAAP) Used?Companies prepare their financial statements and other accounting disclosures in accordance with the GAAP, which is a set of procedures and rules.
The Financial Accounting Standards Board (FASB), a separate non-profit organization, is responsible for creating the standards. The objective of GAAP standards is to ensure that the financial data presented to investors and regulators is accurate, dependable, and consistent with other sources of financial data.
The universally accepted methods of capturing and reporting accounting information are combined with authoritative standards (established by policy bodies) to construct GAAP. The goal of GAAP is to make financial information more understandable, reliable, and comparable.
GAAP is crucial because it keeps investors' confidence in the financial system. Without GAAP, investors would be less inclined to believe that the information corporations give to them is accurate because they would have less faith in its veracity.
In the absence of that trust, there might be fewer transactions, which could result in greater transaction costs and a weaker economy. By facilitating "apples to apples" comparisons across different companies, GAAP also aids in the corporate analysis process for investors.
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Alexis has 2/3 pounds of grain. If the grain is used to feed 12 chickens, how much grain is there for each chicken? Write an expression to model the problem, and then solve the problem. Show your work.
Input Field 1 of 1
The expression to model the problem is [tex]\frac{2}{3}[/tex] ÷ 12, and the solution is 1/18.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Total fraction of grains Alexis has = 2/3 pounds
Grains used to feed 12 chickens = 2/3
Grains used to feed 1 chicken = (2/3) / 12
= [tex]\frac{2}{3}[/tex] ÷ 12
Using the reciprocal rule,
Grains used to feed 1 chicken = [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{12}[/tex]
= 1/18
Hence the amount of grains for 1 chicken is 1/18.
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Given the sequence: 7; 1; 7; 3; 7; 5;...
11.1 Determine the value of T17
11.2 Determine the sum of the sum of the sequence from T9 up to and including T13
The sum of the sum of the sequence from T9 up to and including T13 is 504
How can determine a sequence's sum?The sum of an arithmetic sequence is calculated using the formula Sn=n2[2a+(n1)d], where n is the total number of elements to be added. A stands for the first term in the series. The interterm constant is denoted by d.
1. The value of T17
The number series is 7; 1; 7; 3; 7; 5;...
Common deviation (d) = 3 - 1 = 2
A=1 is the first phrase.
Therefore, the nth term is given by t
n =a+(n-1)d
=1 +( 17 -1) 2
=1 + 16 *2
n = 32 +1 = 33
The value of T17 =33.
2. Sn=n2[2a+(n−1)d],
Sn = 13 * 2[2*1+(9−1)2],
26 * 2 + 8 * 2
26 * 18 = 504
The sum of the sum of the sequence from T9 up to and including T13 is 504
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pls help !
A study showed that vitamin A oil reduces pain levels in patients with Lyme disease. During each session, the oil was injected into the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.
Another study is being designed to examine whether vitamin A oil also reduces pain in patients suffering from pinched nerves in the cervical region of the back. Two hundred patients aged 20–40 years are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (5 points)
Part B: If the study consisted of 100 young patients and 100 old patients instead of 200 patients aged 20–40, would you change the study design? If so, how would you modify your design? If not, why not? (5 points)
Part C: Suppose the data in the following table was collected at the end of the study you described in part A.
Vitamin A Oil Placebo
Reported Pain Reduction 37 21
Total Treated 100 100
Construct 90% confidence intervals for the proportion of pain reduction for each treatment group. Show all work. (5 points)
Part D: What can you conclude about the use of vitamin A oil for patients with pinched nerves in the cervical region of the back? (5 points)
The solution is, given below.
What is Treatment?A treatment is something that health care providers do for their patients to control a health problem, lessen its symptoms, or clear it up. Treatments can include medicine, therapy, surgery, or other approaches.
here, we have,
Part A: The appropriate design for the study includes;
Treatment used; Chamomile oil treatment
Method of treatment; Application of the chamomile oil to the cervical region of patients experiencing pain due to pinched nerves
Treatment assignment; Treatment should be assigned to patients with pinched nerves
Variables that should be measured; Reduction or relief of pain as reported by the patients
Part B; The study should be administered equally to both male and female as the symptoms can be experienced by both male and female
Part C; The design could be double blind by replacing the chamomile administered by placebo, thereby preventing bias from both researcher and participants in the results of the research.
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Find the curve of best fit for the data. Round to 2 decimals.
The curve of best fit is discussed below.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the curve of best fit.
The curve of best fit is the curve the best approximates the trend on a scatter plot.The line of best fit estimates a straight line that minimizes the distance between itself and where observations fall in some data set. The line of best fit is used to show a trend or correlation between the dependent variable and independent variable(s). It can be depicted visually, or as a mathematical expression.Therefore, the curve of best fit is discussed above.
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Write if statement that increases pay by 3% if score is greater than 90, otherwise increases pay by 1%.
The "if statement" to show that increases pay by 3% if score is greater than 90, otherwise increases pay by 1% ; is written below .
The if statement in that implements the conditions that increases pay by 3% if score is greater than 90, otherwise increases pay by 1% is written as :
⇒ if (score > 90)
⇒ pay *= 1.03;
⇒ else
⇒ pay *=1.01;
In the above mentioned code, the "score" is a variable that represents the value to be tested, and "pay" is a variable that represents the current pay.
The statement checks that if score is greater than 90. pay is increased by 3% (multiplying by 1.03). If score is not greater than 90, pay is increased by 1% (multiplying by 1.01).
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1/9(-3/5) write in simplest form
The expression 1/9(-3/5) can be written in simplest form as -5/27.
Write in simplest form ?To simplify this expression, we need to use the rules of division and multiplication of fractions.First, we need to rewrite the expression as a single fraction.To do this, we need to invert the second fraction and multiply it with the first one.This gives us 1/9 x 5/3, which can be simplified to 5/27.Now, we need to simplify this fraction further.We can do this by dividing both the numerator and denominator by their greatest common factor.In this case, the greatest common factor of 5 and 27 is 5. Dividing the numerator and denominator by 5 gives us the answer -5/27.This expression can be further simplified by changing it to a mixed number.To do this, we need to divide the numerator by the denominator and subtract the whole number from the fraction.In this case, 5 divided by 27 gives us 0, which can be subtracted from -5/27 to give us the answer -5/27, which is the simplest form of the expression.To learn more about simplest form refer to:
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Select the correct answer.
The vertex of a parabola is at (8,-1), and its y-intercept is -17. Which function represents this parabola?
Step-by-step explanation:
simplify the ffratio of 3kota 1to7and 11to4
Answer:
Step-by-step explanation:
f(x)= -1/4(x-8)^2 - 1
m is a random variable that is normally distributed with a mean of 3.05 and a standard deviation of 1.72.
M is a random variable that is normally distributed with a mean of 3.05 and a standard deviation of 1.72, then the probability P(x ≤ 8.5) is 0.99923.
A random variable that is normally distributed with a mean = 3.05
A random variable that is normally distributed with a standard deviation (SD) = 1.72
Now determining the probability
P(x ≤ 8.5) = P[(M - Mean)/SD ≤ (8.5 - 3.05)/1.72
P(x ≤ 8.5) = P(Z ≤ 5.45/1.72)
P(x ≤ 8.5) = P(Z ≤ 3.17)
From the Z-table
P(x ≤ 8.5) = 0.99923
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The complete question is:
M is a random variable that is normally distributed with a mean of 3.05 and a standard deviation of 1.72. Find the probability P(x ≤ 8.5)
A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political a liation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.58
Are being Independent and being a swing voter disjoint, i.e. mutually exclusive? #### not really, i think there’s a slight connection, a lot of independent voters are also swing voters.
Draw a Venn diagram summarizing the variables and their associated probabilities.
No, being Independent and being a swing voter is not disjoint that mutually exclusive.
As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;
The 11% of respondents are identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.
Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.
Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.
The given question is incomplete , the complete question is
A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.
Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?
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what to put in the 3 boxes and graph also what to write to the question please be literal
If all of the ratios of the variables are equal, then there is a proportional link between the two variables.
Explain the Proportional relationship ?An equation of the type y=kx can be used to model any proportional connection.
Where k is the constant of proportionality.
Given,
Here, there are some missing values in the table of x and y values.
Now that we know that x and y have a proportional connection, we must determine the values that are missing.
Now that we know that x and y have a proportional connection, we must determine the values that are missing.
Therefore, x and y can be expressed as,
y = k x
We must discover the constant k in this case.
When x = 3 and y = 4.5 are applied, the value of k is,
4.5 = k (3) (3)
k= 4.5/3
k = 1.5
Therefore, if we assume that x is 6 then the value of y is,
y = 1.5 x 6
y = 9
Therefore, if we assume that y equals 22.5, the value of x is,
22.5 = 1.5x
22.5/1.5 = x
y = 15.
Hence, the complete table that shows the proportional relationship between x and y is
x y
3 4.5
6 9
15 22.5
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Find the area of the trapezoid. Be sure to include the correct unit in tour answer.
On solving the provided question we can say that Area of the trapezium = 1/2 X (8+18 ) X 8 = 144 ft sq.
What is trapezium?A trapezoid is a quadrilateral in American and Canadian English that has at least one pair of parallel sides. It is known as Trapezium in the United Kingdom and other English-speaking countries. In Euclidean geometry, a trapezoid is invariably a convex quadrilateral. The trapezoid's base is defined as its parallel sides. An identical one set of opposite sides that are parallel to one another define a trapezoid, a convex quadrilateral. When drawn on paper, the two-dimensional trapezoid shape resembles a table. A polygon with four sides and four vertices is referred to as a quadrilateral in Euclidean geometry.
Area of the trapezium = 1/2 X (8+18 ) X 8
A = 26 X 4 = 144 ft sq.
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Read the quotation from Theodore Rhodie, a former Pullman employee. “I do not like to walk up there and hand up my membership in the American Railway Union because when a man asks me to give up my principles, my rights as an American citizen, he might just as well ask for my life.” To which result of the Pullman strike is Theodore Rhodie referring? the loss of money by the Pullman Company the imprisonment of Eugene V. Debs the rehiring of workers who resigned from Debs’s union the increase in anti-union court decisions
In the quotation, Theodore Rhodie is expressing his resistance to the idea of giving up his membership in the ARU, as doing so would mean giving up his principles and rights as an American citizen.
What is Quotation?Using someone else's precise words or statements as part of your writing is known as a direct quotation.
Theodore Rhodie, a former Pullman employee, is referring to the imprisonment of Eugene V. Debs in his quotation. Debs was the leader of the American Railway Union (ARU) and was a prominent figure in the Pullman Strike of 1894. The strike resulted in the shutdown of the nation's rail system, causing widespread economic disruption. In response, the federal government intervened, sending in troops to restore order. Debs was arrested and convicted of violating a federal court injunction against the strike, leading to his imprisonment.
In the quotation, Theodore Rhodie is expressing his resistance to the idea of giving up his membership in the ARU, as doing so would mean giving up his principles and rights as an American citizen. This reflects the sentiment of many workers during the Pullman Strike who felt that their rights were being violated and were willing to stand up for their principles, even if it meant facing consequences such as imprisonment.
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Answer:b
Step-by-step explanation:
given a circle with center (-5,3) and radius sqrt 17 what is the slope of the tangent line to the circle that passes through the point (-1,2)
The slope of the tangent line that passes through the point (-1, 2) is 4, and the equation of the line is: y - 2 = 4(x + 1) or y = 4x + 6
To find the slope of the tangent line to a circle, we first need to find the equation of the circle.
Given the center and radius, the equation of a circle can be written as:
(x + 5)^2 + (y - 3)^2 = 17
Next, we find the equation of the line that passes through the point (-1, 2) and is tangent to the circle.
We can use the slope-point form of the equation of a line:
y - 2 = m(x + 1)
where m is the slope of the line.
To find the value of m, we need to find the slope of the line that is tangent to the circle at the point (-1, 2).
The slope of a tangent line to a circle at a point is equal to the derivative of the equation of the circle at that point.
Taking the partial derivatives of x and y in the equation of the circle, we get:
2(x + 5)dx + 2(y - 3)dy = 0
Rearranging and solving for the slope:
dy/dx = -(x + 5)/(y - 3)
Evaluating the slope at the point (-1, 2), we get:
dy/dx = -(−1 + 5)/(2 − 3) = 4
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steps to solve slope intercept word problems like step 1: step2:
According to the problem, if the slope is 3 and the y-intercept is 5, the equation of the line would be y = 3x + 5.
What is the equation ?The equation is an expression that shows the relationship between different variables. It is typically written with an equals sign (=) and can have constants, variables, and operators such as addition, subtraction, multiplication, and division. An equation can be used to solve for a variable, to show a relationship between different variables, or to identify a pattern. For example, the equation y = 2x + 5 can be used to calculate the value of y for any given value of x. Additionally, equations can be used to show relationships between different variables such as the equation y = ax2 + bx + c, which shows a relationship between y and x, where a, b, and c are constants.
Step 1: Identify the given information in the problem. This should include the slope and the y-intercept.
Step 2: Use the slope-intercept form of a line, y = mx + b, to express the equation of the line in terms of the given information. Here, m is the slope and b is the y-intercept.
For example, if the slope is 3 and the y-intercept is 5, the equation of the line would be y = 3x + 5.
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46+ (-2k) for k = 3, 23, -2
Answer:
Step-by-step explanation:
for K=3
3.46+(-2K) = 3.46+(-6)= 3.46-6 = 2.54
K=23
3.46+(-2K) = 3.46+(-46)=3.46-46=42.54
k= -2
3.46+(-2K) = 3.46+(4)=7.46
For k = 3: 40.
For k = 23: 0.
For k = -2: 50.
Step-by-step explanation:1. Write the expression.[tex]46+(-2k)\\k=3[/tex]
2. Substitute "k" by the given values and calculate.For k = 3:
[tex]46+(-2(3))=\\ \\46+(-6)=\\ \\46-6=\\ \\40[/tex]
For k = 23:
[tex]46+(-2(23))=\\ \\46+(-46)=\\ \\46-46=\\ \\0[/tex]
For k = -2:
[tex]46+(-2(-2))=\\ \\46+(4)=\\\\50[/tex]
3. Conclude.For k = 3: 40.
For k = 23: 0.
For k = -2: 50.
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Find the equation of the exponential function represented by the table below: x y 0 3 1 9 2 27 3 81
[tex]y=3^{1+x}[/tex] is the equation of the exponential function represented by the table.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given table is below
x y
0 3
1 9
2 27
3 81
Each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3ˣ
If x = 0, do we get 3,
No, therefore we must modify the exponent:
[tex]y=3^{1+x}[/tex]
Hence, [tex]y=3^{1+x}[/tex] is the equation of the exponential function represented by the table.
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A student is researching if people like to study at the city library. The student stands by the door of the city library and surveys people walking in.
The students use simple random sampling.
Meaning of Random SamplingIn this case, every member of the population participating in the sampling has the same opportunity to become a member of the sample. Many people think that random sampling is an ideal sample to be used in a study. In fact, random sampling can be used as a basis for generalizing a conclusion.
Random sampling is selecting samples in such a way that all combinations of a unit have the same chance of being selected as a sample.
In order to make it easier what is meant by "members of the population have the same opportunity", a case example will be given. For example, in a population there are 100 members, but only 50 are needed to be members of the sample, so each member of the population has a 100/50 probability of being able to participate in sampling to become a member of the sample.
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Figure A is a parallelogram with a base length of 5 units on a coordinate plane. Figure B results from dilating Figure A by a factor of 4 by a factor of 4 and translating 6 units down. What is the base length of Figure B?
Answer:
20 units----------------------------
After dilation by a factor of 4 the base length becomes 4 times larger:
5*4 = 20 unitsThe translation is not affecting dimensions of the figure so the base length of figure B remains as 20 units.
What is a disadvantage of using credit cards compared to other forms of
payment?
OA. They cannot be used to build credit.
B. They offer protection from fraud or loss.
C. They may encourage overspending and debt.
D. They don't provide a way to pay for large purchases over time.
SUBMIT
Answer:
C
Step-by-step explanation:
Credit cards can be used even without the money in hand. This can lead to continually swiping your credit card and over time gaining debt due to being unable to pay the monthly payments on the items.
Answer:
Credit Card Disadvantages-Debt

What is a disadvantage of using credit cards compared to other forms of payment?
A disadvantage of using credit cards compared to other forms of payment is that it can lead to high levels of debt if not used responsibly. The ease of spending with a credit card can make it easy to overspend and rack up large balances that can be difficult to pay off. Additionally, credit cards often have higher interest rates than other forms of credit, such as personal loans, so carrying a balance can be costly.
What is the length of each leg in the right triangle shown?
45
7sqrt2
45°
Answer:
Below
Step-by-step explanation:
It is an isosceles right triangle ( the two legs are equal length).
Use Pythagorean Theorem
(7 sqrt2)^2 = L^2 + L^2
98 = 2 L^2
49 = L^2
L = 7
The sum of two numbers is -40. The difference of the two numbers is -12. What are the two numbers?
Answer:
-26 and -14
Step-by-step explanation:
Let x = one number
Let y = the other number
x + y = -40
x - y = -12 Add the two equations together.
2x = -52 Divide both sides by 2
x = -26
Substitute -26 for x to find y
x + y = -40
-26 + y = -40 Add 26 to both sides
-26 + 26 + y = -40 + 26
y = -14
Check:
x + y = -40
-26 + -14 = -40
-40 = -40 Checks
x - y = -12
-26 - (-14) = -12
-26 + 14 = -12
-12 = -12 Checks
prove that under any affine transformation, the ratio of parallel line segments is invariant, but the ratio of non-parallel line segments is not invariant
The proof of the statement that "any affine transformation, the ratio of parallel line segments is invariant, but the ratio of non-parallel line segments is not invariant" , is explained below .
An Affine Transformation is defined as a mapping between two vector spaces that preserves collinearity and ratios of parallel line segments, but not necessarily ratios of non-parallel line segments.
Which means that if two line segments are parallel in the original space, then their corresponding line segments in the image space will also be parallel and have the same ratio.
But , if the original line segments are not parallel, then their corresponding line segments in the image space will generally not be parallel and their ratio may change.
Therefore , it is proved that the ratio of parallel line segments is invariant under affine transformations, while the ratio of non-parallel line segments is not.
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6 cm
Give your answer in cm².
16 cm
8 cm
יש
11 cm
For instance, to calculate the value in square centimeters for an object with a rectangle shape, multiply the length and width measurements. The formula is 15cm*10cm, which equals 150 cm2 for a measurement of 15cm in length and 10cm in width.
How to convert cm to cm2?A measurement unit known as the square centimeter is best suited for measuring small areas, such as those on drawings. A square with one centimeter on each side is used to define it. The area is measured using this unit. It is abbreviated as sq.cm or cm2.
Here,
To compute the area of a shape in square centimeters, the shape must first be measured before using the proper equation. The form of the object is measured using a metric measuring stick or measuring tape.
For instance, to calculate the value in square centimeters for an object with a rectangle shape, multiply the length and width measurements. The formula is 15cm*10cm, which equals 150 cm2 for a measurement of 15cm in length and 10cm in width.
A square centimeter's dimensions
100 square millimeters make to one square centimeter.
1 square centimeter is 0.15500031 square inches. 10 micrometers square
1 sq cm 0.00107639 square feet.
1 sq cm is 0.00000002 acres.
1 square centimeter is 0.00000001 acre.
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The complete question is "What is the area of below given figure having dimension as 16cm ,11,cm ,6cm and 8 cm ? "
Plot the image of point of B under a dilation about point P with a scale factor of 1/2
Point B is a point on a two-dimensional plane.
What is scale factor?Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.
When plotting the image of point B under a dilation about point P with a scale factor of 1/2, it is necessary to first plot the given point P, which serves as the center of the dilation. The next step is to draw a line from point B to point P, which will be the radius of the dilation. After this, draw a circle with a radius of half the length of the original line and centered at point P. The image of point B will be the point on the circle directly opposite of the original point B. This point is the dilated image of point B.
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What is the value of the quantity negative one third cubed all raised to the power of negative 3?
The value of the quantity negative one-third cubed all raised to the power of -3 will be -19683.
What is an expression?Expression in math's is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is negative third cubed all raised to the power of negative 3.
The expression can be solved as below:-
E = [ ( -1 / 3 )³ ]⁻³
E = [ ( -1 / 3 ) ] ⁻⁹
E = ( -3 )⁹
E = -19683
Therefore, the value of the quantity negative one-third cubed all raised to the power of -3 will be -19683.
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a quadrilateral abcd has diagonals that are perpendicular bisectors of one another. which of the following classifications must apply to quadrilateral abcd? i. parallelogram
ii. rhombus iii. square
O I and III only
O I and II only
O I, II, and III
O II and III only
C) I, II, and III which are parallelogram,rhombus and square. These classifications must apply to quadrilateral ABCD.
ABOUT DIAGONALIn simple terms the diagonal is an oblique line. Line is one of the mediums in fine art, including diagonal lines. Apart from the diagonal lines, there are also horizontal and vertical lines.
A line is a set of points that are parallel and equal in size and aligned in such a way that a prominent longitudinal dimension has a direction. These dimensions produce a variety of shapes, ranging from long, short, smooth, thick, curved, straight and many more. The line diagonal is an oblique line.
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Question 32
Small Box Unit Rates:
^
Question Help:
Using Unit Rates for Comparison
A small box of cereal is 14.3 ounces for $4.86.
A large box is 27 ounces for $9.99
Dollars per Ounce
>
Round your answers to the nearest hundredth as needed.
Large Box Unit Rates:
Ounces per Dollar
Video
Dollars per Ounce
The Select an answer is a better buy because it costs Select an answer dollars per ounce.
Ounces per Dollar
The Select an answer is a better buy because you receive Select an answer ounces per dollar.
Options for select an answer are:
-small box
-large box
-more
-less
The numbers that complete the table are Small box: 2.94 and 0.33/ Big box: 3.73 and 0.35.
What are the rates?By using the information provided let's calculate the rates:
Small Box rates:
14.3 ounces for $4.86
14.3/ 4.86 = 2.94 ounces per dollar
4.86 / 14.3 = 0.33 dollars per ounce
Big Box rates:
27 ounces for $9.99
27/ 9.9. = 3.73 ounces per dollar
9.9/ 27= 0.35 dollars per ounce
Based on this, it can be concluded
The small box is better because it cost less dollars per ounce.
The big box is better because you receive more ounces per dollar.
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The Leona Vicario school cooperative will deliver to its 96 members this year's profits, which were $5,616. How much will each receive if the division is equitable?
Answer:
$58.50
Step-by-step explanation:
You can solve this problem by dividing the total amount of profits ($5,616), with the amount of members (96), as they are receiving equitable shares.
Divide:
[tex]5616/96 = 58.50[/tex]
Each member will receive $58.50 for their share.
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Answer: Each will receive 58.5 $.
Step by step explanation:
Data :
Partners = 96Earnings = $5616Each one receives = ?We solve: in this problem we have to divide the number of partners with the earnings of that year:
[tex]\bf \: \cfrac{5615}{96} = 58.5[/tex]
Rpt : Each will receive 58.5 $.
suppose x is a normally distributed random variable with a mean of 10 and a standard deviation of 5. the probability that x is between 1.88 and 19.86 is g
The probability that x a random variable is between 1.88 and 19.86 , i.e., P( 1.88< X< 19.86) is equals to the 0.9235 or 92.35%.
Let x be a random variable and it is normally distributed with a mean of 10 and a standard deviation of 5. We have to determine the probability that x is between 1.88 and 19.86 . In other words, X~ N( 10, 5) and P( 1.88< X< 19.86).
Mean, μ = 10
standard deviation, σ = 5
Normal distribution formula ,
Z = (X - μ)/σ
P( 1.88< X< 19.86) = P(( 1.88 - μ)/σ < (X- μ)/σ < ( 19.86 - μ)/σ)
= P((1.88 - 10)/5 < (X- 10)/5 < ( 19.86 - 10)/5)
= P(-8.12/5 < (X- μ)/σ < 9.86/5)
= P( - 1.624 < (X- μ)/σ < 1.972)
= P( - 1.624 < Z< 1.972)
= P( Z> 1.972) - P( Z< - 1.624)
P( 1.88< X< 19.86) = 0.92351
Hence, the required probability is 0.9235 .
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