True/False. the amount of rainfall in your state last month is an example of discrete data.
Answer: False
Step-by-step explanation:
Discrete means secret and that data is not discrete as it can be acess by anyone.
True. The amount of rainfall in your state last month is an example of discrete data.
Explanation:The answer to the question is True. The amount of rainfall in a state last month is an example of discrete data.
Discrete data is a type of data that can only take on specific values. In this case, the amount of rainfall can be measured in specific units, such as inches or millimeters, and cannot have values between those units.
Other examples of discrete data include the number of students in a classroom, the number of cars passing through a toll booth, or the number of coins in a piggy bank.
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The equations 4x+2y=4 and -x^2+y=-6 intersect at the coordinates (a, b) and (c, d).
Equations 4x+2y=4 and -x²+y=-6 intersect at the coordinates (a, b) and (c, d), then(a, b) and (c. d) is (-4, 10) and (2,-2).
As given,
Given equations:
4x+2y=4
⇒2x +y=2
⇒y=2-2x ___(1)
-x²+y=-6 ___(2)
Substitute value of y in (2)
-x² +2-2x =-6
⇒-x²-2x +8 = 0
Discriminant D=b² -4ac
= (-2)² -4(-1)(8)
=36>0
Two intersecting coordinates (a, b)and (c, d)
Factorize:
-x²-2x +8=0
⇒-x²-4x+2x+8=0
⇒(x +4)(-x+2)=0
⇒x=-4 or 2
Substitute in (1)
x=-4⇒y=10
x=2⇒y=-2
Therefore, equations 4x+2y=4 and -x²+y=-6 intersect at the coordinates (a, b) and (c, d), then(a, b) and (c. d) is (-4, 10) and (2,-2).
The complete question is :
The equations 4x+2y=4 and -x^2+y=-6 intersect at the coordinates (a, b) and (c, d). What is the value of coordinates (a, b) and (c, d).
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plot the point whose polar coordinates are given. then find the cartesian coordinates of the point. (a) 6, 4 3 (x, y) = (b) −4, 3 4 (x, y) = (c) −5, − 3 (x, y) =
The Cartesian coordinates for give polar coordinates are (-3.00, 5.20), (-0.77, 3.07) and (-5, 0), respectively. and plot is given.
The calculations for finding the Cartesian coordinates of each point given its polar coordinates.
6, 4/3
Plot the point (6, 4/3) in the polar coordinate system. This means starting at the origin, moving outwards 6 units, and rotating counterclockwise by an angle of 4/3 radians (or 240 degrees).
To find the Cartesian coordinates (x, y), we can use the formulas x = r cos(θ) and y = r sin(θ), where r is the distance from the origin to the point, and theta is the angle the line from the origin to the point makes with the positive x-axis.
Using the given polar coordinates, we have r = 6 and theta = 4/3 * π radians (or 240 degrees in degrees mode on a calculator).
Plugging these values into the formulas gives
x = 6 cos(4/3 * π) ≈ -3.00
y = 6 sin(4/3 * π) ≈ 5.20
Therefore, the Cartesian coordinates of the point (6, 4/3) are approximately (-3.00, 5.20).
-4, 3/4
Plot the point (-4, 3/4) in the polar coordinate system. This means starting at the origin, moving left 4 units, and rotating counterclockwise by an angle of 3/4 radians (or 135 degrees).
Using the formulas x = r cos(θ) and y = r sin(θ), we have:
x = -4 cos(3/4 * π) ≈ -0.77
y = 4 sin(3/4 * π) ≈ 3.07
Therefore, the Cartesian coordinates of the point (-4, 3/4) are approximately (-0.77, 3.07).
-5, -3
Plot the point (-5, -3) in the polar coordinate system. This means starting at the origin, moving left 5 units, and rotating clockwise by an angle of pi (or 180 degrees).
Using the formulas x = r cos(θ) and y = r sin(θ), we have:
x = -5 cos(π) = -5
y = -3 sin(π) = 0
Therefore, the Cartesian coordinates of the point (-5, -3) are (-5, 0). Note that this is on the x-axis, since the point lies in the second quadrant of the polar coordinate system. points are plotted on graph.
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A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1300 seats. The students filled 1001 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?
Answer:
0.05n + 0.25q = 1.60
q = 3n
0.05n + 0.25(3n) = 160
0.05n + 0.75n = 1.60...multiply by 100 to get rid of the decimals
5n + 75n = 160...answer D
Step-by-step explanation:
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Salma will run less than 35 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as an inequality solved for t.
Answer:
We know that Salma will run less than 35 miles in total this week.
So if t represents the number of miles that Salma runs, we have the inequality:
0mi ≤ t < 35 mi
(where the first part comes because she can not run a number of negative miles, but this is trivial.)
We know that she already ran 18 miles, then we have now the inequality:
t + 18mi < 35mi
Now we need to isolate S
t < 35mi - 18mi
t < 17mi
So she can run any number of miles that is smaller than 17 miles.
For example, she could run 10 miles, 14 miles, 4.5 miles, etc.
A bank loan processing system has three components with individual reliabilities as shown: R 1 = 0.82 R 2 = 0.991 R 3 = 0.98 What would be the reliability of the bank system above if each of the three components had a backup with a reliability of 0.80? How would the total reliability be different?
To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.
In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:
R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801
So, the reliability of the bank loan processing system without backup components is approximately 0.801.
Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.
Let's calculate the reliability of each component with the backup:
R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984
R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988
R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992
Now, we calculate the overall reliability of the system with the backups:
R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981
Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.
Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.
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Using the substitution method, find the solution to this system of equations. Be sure to show your work!
-2x+2y=7
-x+y=4
please show a breakdown of the equation and a correct answer! thanks.
Answer:
To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.
-x + y = 4
y = x + 4
Now we can substitute this expression for y into the first equation and solve for x.
-2x + 2(x + 4) = 7
-2x + 2x + 8 = 7
8 = 7
The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.
Therefore, the solution to the system of equations is "No solution."
Note: Please be sure to double-check your work to avoid mistakes.
Step-by-step explanation:
Hope this helps you!! Have a wonderful day/night!!
A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.
Answer:
8p=c
Step-by-step explanation:
The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c
1. For each relation, state
i) the domain and the range
ii) whether or not it is a function, and justify your answer
Answer:
A and C are functions.
The domain is x and the range is y
Step-by-step explanation:
Each x - value can have only one y -value
Function= unique x-values
Y can be the same answer but the X has to be different
diego says the expression 14-0.6t helps him understand this situation. in this situation, what does this expression represent, and what does the variable t stand for?
The given expression 14 - 0.6t is representing the amount of fuel that has been remaining after "t" days of use.
14 - 0.6t is an algebraic expression. The car had 14 gallons of fuel at first and after each day of use, the car used 0.6 gallons which means that the amount of fuel that is remaining in the car at the end of the day is continuously decreasing by 0.6 per day. So, after "t" days of use, the car must have 0.6×t gallons of fuel, and the amount of fuel that remains in the car will be 14 - 0.6t.
When the warning light comes on, the remaining fuel is 1.5 gallons or less. So we can set the expression 14 - 0.6t to 1.5 and solve for t to find the number of days it takes for the warning light to come on:
14 - 0.6t = 1.5
0.6t = 12.5
t = 20.83
Therefore, it takes approximately 20.83 days of use for the warning light to come on.
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help please ill give brainliest
Please help WILL MARK BRAINLIEST !!!!
Answer:
100 ft squared
Step-by-step explanation:
5 times 5 for each square
25 times 4
100 ft squared
√4x^2/3y
Please show work if you can
Answer:
√16x/3y
Step-by-step explanation:
√4x^2 = √16x /3y = can't be simplified further
A box measures 3 1/2 ft by 1 1/3 ft by 2 1/4 ft. What is the volume of the box?
Answer:
V = 10.5 ft³
Step-by-step explanation:
Volume formula: length x width x height
We are given all 3, so all we have to do is multiply them all together, When we plug it into the calc, we should get 21/2 or 10.5 ft³ as our answer.
19) Consider The Model Yi=B0+B1Xi+B2Ziui, If You Know The Variance Of Ui Is Σi2=Σ2zi2 How Would You Estimate The Regression?
To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.
In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.
To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.
In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.
By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.
Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].
By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.
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An uber charges a flat rate of $6 plus $1.25 per mile. Kayla can spend no more than $27.50. If she wants to tip her driver $4, what is the greatest number of miles she can uber? Define the Variable for situation #1 and write an equation or inequality that represents this situation using the variable
Answer:
The cost of the uber is a $6 flat rate plus $1.25 per mile.
Then if you take an uber for x miles, the cost will be:
c(x) = $1.25*x + $6
Now, in this case Kayla also wants to add a tip of $4, then the total cost will be:
c(x) = $1.25*x + $6 + $4 = $1.25*x + $10
And we have the restriction that Kalya can't spend more than $27.50
Then the cost must be equal or smaller than $27.50, we can write this as:
c(x) ≤ $27.50
$1.25*x + $10 ≤ $27.50
Whit the above equation we can find the maximum value of x if we isolate x in one side of the inequality.
$1.25*x + $10 ≤ $27.50
$1.25*x ≤ $27.50 - $10
$1.25*x ≤ $17.50
x ≤ ($17.50/$1.50)
x ≤ 11.67
So the maximum number of miles that she can travel on that uber is 11.67 miles, but in this cases we only work with whole numbers, so we should round it to the next whole number that meets the condition, which is 11.
x = 11
The maximum number of miles that she can travel on that uber is 11 miles.
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Answer:
wait what?
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The area of a regular hexagon is about 65 square units. You decompose the figure into 6 triangles. The height of one triangle is 4.3 units. What is the approximate length of the base of the triangle? Round to the nearest whole number if necessary. Plssss help me
If the area of a regular hexagon is about 65 square units. the approximate length of the base of the triangle is 5 units.
How to find the length of the base?The area of the hexagon is 65 square units, so the area of one of the triangles is:
65/6 ≈ 10.83 square units
The formula for the area of a triangle is:
Area = 1/2 * base * height
Substituting the given height of 4.3 units and the calculated area of 10.83 square units, we get:
10.83 = 1/2 * base * 4.3
Simplifying, we get:
base = 5.04 units
Rounding to the nearest whole number, the approximate length of the base of the triangle is 5 units.
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Jeremy purchased a new cellphone on sale 15% for $339.99. What was the original price of the cellphone?
Answer:
288.99 dollars.
Step-by-step explanation:
first you will find 15% of 399 then subtract 339 with the 15%(50)=288.99$
Help with question A.
To do simple subtraction, use the - (minus sign) arithmetic operator.
How to get a proper Conclusion?6N + 10
---------- - 5 =
2
3N + 5 - 5
3N
so yes, you will always get triple the original number. or 3N.
A final step should be to divide the last difference by 3, which gets you
the original number back.
Two positive integers added together are always positive.
When two negative integers are added together, the result is always negative.
The result of subtracting two positive integers might be either positive or negative.
The result of subtracting two negative integers might be either positive or negative.
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Wrestling coach is entering his team in a tournament there is a $75 fee for each team entered plus a five dollar fee for each wrestler entered The total cost 1013 in a wrestling tournament can be represented by the equation F=5w+75 where f is the total fee and w is the number of wrestlers entered
Answer:
188 wrestlers
Step-by-step explanation:
Given
\(F =5w + 75\)
\(F = 1013\)
Required
Determine the number of wrestlers (w)
We have:
\(F =5w + 75\)
Substitute: \(F = 1013\)
\(1013 = 5w + 75\)
Collect like terms
\(5w = 1013 - 75\)
\(5w = 938\)
Divide both sides by 5
\(w = 187.6\)
Round up to get the number of wrestlers
\(w = 188\)
On a slow weekend, you spend at least two hours on homework. on a busy weekend, you spend as much as five hours on homework. write an absolute value inequality that represents the number of hours you spend doing homework on a typical weekday.
Absolute value inequality that represents the number of hours you spend doing homework on a typical weekday is 2 ≤ x ≤ 5.
Let us assume that one spends x hours doing homework on a typical weekday. Then we can write
The inequality expression for a slow weekend is given as;
X ≥ 2
In the same vein, the inequality expression for a busy weekend is given as;
X ≤ 5
Putting the two inequalities we have together in the same expression;
2 ≤ x ≤ 5
Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality. Writing an absolute value for this expression is represented as:
|x - h|≤ k
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What is the simplified value of the expression below?
Answer:
= 1/2
Step-by-step explanation:
√25 / √100
= 1/2
The correct answer is: 1/2
A pizza parlor offers 15 different specialty pizzas. If the Almeida family wants to order 3 specialty pizzas from the menu, which method could be used to calculate the number of possibilities? 15!
3!
15!
12!
15!
12!3!
15!
To calculate the number of possibilities for the Almeida family ordering 3 specialty pizzas from the menu of 15 different options, the appropriate method to use is the combination formula.
The combination formula calculates the number of ways to choose a subset of items from a larger set without considering the order in which they are chosen. In this case, the Almeida family wants to order 3 pizzas out of 15 options, and the order in which they choose the pizzas does not matter.
The formula for combinations is given by:
C(n, r) = n! / (r! * (n - r)!)
where n is the total number of options, and r is the number of choices.
Therefore, the calculation for the number of possibilities for the Almeida family can be done using the combination formula as:
=C(15, 3) = 15! / (3! * (15 - 3)!)
= (15 * 14 * 13 * 12!) / (3! * 12!)
= (15 * 14 * 13) / (3 * 2 * 1)
= 455
the number of possibilities for the Almeida family is 455.
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Answer the following question\(( - \frac{2}{3} \sqrt{6} )(9 \sqrt{3} \)
The expression is given as,
\(\frac{-2}{3}\times\sqrt[]{6}\text{ }\times\text{ 9}\sqrt[]{3}\)The given expression is simplified as follows:
\(\begin{gathered} =\frac{-2}{\sqrt{3}\times\sqrt[]{3}}\times\sqrt[]{3\text{ }}\text{ }\times\text{ }\sqrt[]{2}\text{ }\times\text{ 9 }\times\text{ }\sqrt[]{3} \\ =\text{ -2}\sqrt[]{2\text{ }}\text{ }\times\text{ 9} \\ =\text{ -18 }\sqrt[]{2} \end{gathered}\)Thus the result of the given expression is,
\(\text{-18 }\sqrt[]{2}\)how can you use an inequality to describe a real life statement
An inequality is a mathematical statement that uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to compare two quantities. In real life, we can use inequalities to describe a wide range of situations. For example, let's say you are buying groceries and you have a budget of $50. You could use the inequality total cost of groceries < $50 to describe your situation. This inequality states that the total cost of the groceries must be less than $50, or you will exceed your budget.
In another real life situation, let's say you are training for a race and you want to run a certain distance in a specific amount of time. You could use the inequality distance > speed × time to describe your goal. This inequality states that the distance you run must be greater than the product of your speed and the time it takes you to complete the race. Inequality statements can also be used in social science and economics. For example, we can use an inequality to describe the income distribution in a society. We could say that the top 10% of earners have an income greater than the bottom 90% of earners, using the inequality top 10% income > bottom 90% income.
In summary, inequalities can be used to describe real life situations by comparing two quantities using symbols such as <, >, ≤, or ≥. We can use inequalities to describe a wide range of situations, from grocery shopping to income distribution.
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Determine which statements about the relationship are true. Choose two options.Each Friday, the school prints 400 copies of the school newsletter. The equation c = 400w models the relationship between the number of weeks and the total number of copies of the newsletters printed. What is true of the graph of this scenario?
Answer:
It is c
Step-by-step explanation:
y - y1 = m (x - x1 ) write an equation in point slope form given point ( -5, -1 ) and m = 1/5
Answer:
y=1/5x-24/5
Step-by-step explanation:
y-(-5)=1/5(x-(-1))
y+5=1/5x+1/5
-5 -5
y=1/5x+1/5-5
y=1/5x+1/5-25/5
y=1/5x-24/5
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Answer:
2 to the power of 6 x 3 to the power of 3
Step-by-step explanation:
Answer:
b. 2 to the power 6 . 3 cubed
c. 12 cubed