There are 160 possible area codes can be created with this format.
What is combination?A process determining the number of possible arrangements in a collection of items in which the order of the selection does not matter is called combination.
Given that, When three-digit telephone area codes were first put in place in the United States and Canada, the first number could be any digit from 2 through 9, the second number could only be 0 or 1, and the third number could be any digit from 0 through 9.
So, according to question,
The first digit has about 8 options
The second digit has about 2 options
The third digit has about 10 options
Therefore, the total possible code = 8×2×10=160.
Hence, 160 possible codes are there.
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a cylindrical silo is 70 feet high and its base is a circle of circumference 125.7 feet. what volume, to the nearest 100 cubic feet, of grain can be stored inside of it?
The Volume of the Cylindrical Silo is 88000 cubic feet
What is Volume?
Volume is a measurement of three-dimensional space that is occupied. It is frequently mathematically quantified using SI-derived units or different imperial or US customary units. The concept of length is linked to the definition of volume.
Solution:
Given:
Height of the Container = 70 feet
Circumference of the Base = 125.7 feet
To Find: Volume of the Container
Volume = πr²h
Circumference = 2πr
125.7 = 2 * 3.14 * r
r = 20.01
Volume = 3.14 * 20.01 * 20.01 * 70
Volume = 88007.94 cubic feet
Volume = 88000 cubic feet (approx)
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scatterplot strength and form: which one of the four scatterplots below shows a strong negative linear association between two variables?
A strong negative linear association between two variables is scatter plot 4.
What is standard normal random?
We shall read probabilities out rather than directly working with Z's density function to compute probabilities for Z. The elements in the tables are probabilities of the kind P(Zz), and they are tables of cumulative probabilities. Following are a number of examples that will help to clarify how to use the tables.The standard normal random.
Very dispersed and lacking in association is scatter plot 1.
Positive correlation may be seen in scatter plots 2 and 3.
Scatter figure #4 clearly illustrates a strong inverse relationship between the variables.
Hence the Correct answer is scatter plot 4.
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Find the range of the following piecewise function. [-1,27] [18,-2] [1,27] [-4,0].
The range of the given piecewise function is [-1, 27].
A function with many parts of curves in its graph is said to be a piecewise function. It is a function with various definitions at various intervals of x.
The given function is a piecewise function,
[tex]f(x)=\begin{cases}{{x^2+2\;&\text{if}\;-5\le x < 3 \\{x-4\;&\text{if}\;3\le x < 7}}\end{cases}[/tex]
From the given function,
f(x) = x²+2 if the x value is less than or equal to -5 and less than 3.f(x) = x-4 if the x value is less than or equal to 3 and less than 7.The set of values for all the output values can be referred to as a function's range. To find a range,
For the domain -5 ≤ x < 3, the function is f(x) = x²+2. Substitute x = -5 in this function, and we get f(x) = 27. For domain 3 ≤ x < 7, the function is f(x) = x-4. Substitute x = 3 in this function, and we get f(x) = -1.Then, the range can be written as [-1, 27]. Therefore, the first option is correct.
The complete question is -
Find the range of the following piecewise function.
[tex]f(x)=\begin{cases}{{x^2+2\;&\text{if}\;-5\le x < 3 \\{x-4\;&\text{if}\;3\le x < 7}}\end{cases}[/tex]
a) [-1,27] b) [18,-2] c) [1,27] d) [-4,0].
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Suppose the mean daily peak power load ( y) for a power plant and the maximum outdoor temperature (x) for a sample of 6 days is as given in the ff. Table x y 95 214 82 152 90 156 81 129 99 254 100 266 find the ff. The peak power load when the max. Temperature is 84.
As per the daily mean, the peak power load when max is possible to calculate with a computer or calculator.
The highest outdoor temperature and the mean daily peak power load for a sample of 6 days are provided in the table. However, it is impossible to estimate the peak power load when the highest temperature is 84 without more details. The presented data only reflects a sample of 6 days, which may not be typical of the full population, and the connection between peak power load and maximum temperature may not be linear. Furthermore, using the provided data to conduct any calculations is impossible without access to a computer or calculator.
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in a circle of radius 3.4 cm, what is the length of the arc opposite a central angle that measures 46 degrees?
The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.
What is circle?
The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.
in a circle of radius 3.4 cm
central angle that measures 46 degrees
length of arc = (46/360) * 2π*3.4
=2.72cm
Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm
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A vine called the mile-a-minute weed is known for growing at a very fast rate. It can grow up to 0.5 ft per day. How fast in inches per hour can the mile-a-minute weed grow up to? Show your work using the correct conversion factors.
Answer: 0.25 inches per hour.
Step-by-step explanation:
The mile-a-minute weed can grow up to 0.5 ft per day. To convert this to inches per hour, we need to convert the distance from feet to inches and the time from days to hours.
There are 12 inches in 1 foot, so the mile-a-minute weed can grow up to 0.5 x 12 = <<0.5*12=6>>6 inches per day.
There are 24 hours in 1 day, so the mile-a-minute weed can grow up to 6 / 24 = <<6/24=0.25>>0.25 inches per hour.
Therefore, the mile-a-minute weed can grow up to 0.25 inches per hour.
Here's the complete solution using the correct conversion factors:
1 ft = 12 inches
1 day = 24 hours
0.5 ft/day * (12 inches/1 ft) / (24 hours/1 day) = 0.25 inches/hour
Drag each tile to the correct location in the equation. each tile can be used more than once, but not all tiles will be used. balance the equation with the correct coefficients. 2 3 4 5
The Balance chemical equation using given coefficients: 2, 3, 4, and 5 is
2[tex]C_{2} H_{2}[/tex]+ 5[tex]O_{2}[/tex] -> 4[tex]CO_{2}[/tex] + 2 [tex]H_{2}O[/tex]
The given chemical Equation:
[tex]C_{2} H_{2}[/tex] + [tex]O_{2}[/tex] -> [tex]CO_{2}[/tex]+ [tex]H_{2}O[/tex]
Balance chemical equation using given coefficients: 2, 3, 4, 5
2[tex]C_{2} H_{2}[/tex]+ 5[tex]O_{2}[/tex] -> 4[tex]CO_{2}[/tex] + 2 [tex]H_{2}O[/tex]
A chemical equation is the symbolic illustration of a chemical response in the shape of symbols and chemical formulas. The reactant entities are given at the left-hand side and the product entities at the proper-hand facet with a plus sign between the entities in both the reactants and the products, and an arrow that points towards the goods to expose the route of the response. The chemical formulation can be symbolic, structural (pictorial diagrams), or intermixed. The equal holds for the whole electric-powered rate, as stated by way of the rate conservation regulation. An equation adhering to these necessities is said to be balanced.
A chemical equation is balanced by assigning appropriate values to the stoichiometric coefficients. simple equations can be balanced by using inspection, that is, by using trial and blunder. another method entails solving a gadget of linear equations.
Balanced equations are generally written with the smallest natural-wide variety coefficients. but on occasion, it can be high quality to just accept a fractional coefficient if it simplifies the opposite coefficients.
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Complete question: -
Drag each tile to the correct location in the equation. each tile can be used more than once, but not all tiles will be used. balance the chemical equation with the correct coefficients. 2 3 4 5 in the chemical equation
[tex]C_{2} H_{2}[/tex] + [tex]O_{2}[/tex] -> [tex]CO_{2}[/tex] + [tex]H_{2}O[/tex]
i need help please too get a better grade!
The linear function in this problem is defined as follows:
y = -328.275x + 3142.5.
The number of CD's sold by year decreases by about 328 million per year. About 3143 million of CD's were sold in 2010.
The estimate for the year of 2019 is of: 188 million CD's.
How to define the linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients of the function are defined as follows:
m is the slope, representing the rate of change of the output y relative to the input x.b is the y-intercept, representing the value of the output y when the input x assumes a value of y.Two points of the linear function in this problem are given as follows:
(2, 2485.6), (6, 1172.5)
The slope is given by the change in y divided by the change in x, hence:
m = (1172.5 - 2485.6)/4 = -328.275.
Then:
y = -328.275x + b.
When x = 2, y = 2485.6, hence the intercept b is obtained as follows:
2485.6 = -328.275(2) + b.
b = 2485.6 + 328.275(2)
b = 3142.5.
Hence the function is:
y = -328.275x + 3142.5.
2019 is nine years after 2010, hence the estimate is obtained as follows:
y = -328.275(9) + 3142.5 = 188 million CD's.
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A panel in one of the hallways of Emilio’s school is rectangular with an area of 44.52 square feet. If the panel is 21 feet long, how wide is it?
Answer:
Step-by-step explanation:
So hi this is saveon and this is how you do the question so first you divide 44.52 by 21 you will get 2.12 feet and that is your answer
It is 2.12 feet wide.
What is rectangle ?
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
An equiangular quadrilateral is another name for a rectangle. The reason for this is that a rectangle is a quadrilateral form (4-sided shape) with parallel sides that are equal to one another and four corners with 90o angles. A rectangle can also be referred to as an equiangular quadrilateral because all of the angles are 90 degrees.
Rectangle area = width * height
44.52 / 21
= 2.12 feet
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Is 11/81 an irrational number?
Answer:
Yes, 11/81 is an irrational number.
Step-by-step explanation:
Because it is a fraction with a non-terminating, non-repeating decimal expansion.
The sum of two polynomials has degree 4 and their difference has degree 2. What is
the degree of their product?
The degree of the product of the two polynomial is 6.
What is a polynomial?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² − 4x + 7 is an illustration of a polynomial with a single indeterminate x.
Given that there are two polynomial.
The sum of two polynomials has degree 4.
Thus the degree of a polynomial is 4.
The degree of the another polynomial is less than or equal to 4.
Also the difference of their degree is 2.
Thus the degree of the another polynomial is (4 - 2) =2.
The degree of the polynomials whose degree are a and b is a+b.
The degree of the product of the given polynomial is (4 + 2) = 6.
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this type of bias occurs when researchers fail to choose a representative sample of potential respondents.
Sampling bias, also known as sample selection bias, refers to flaws in research studies that arise when researchers do not appropriately select their subjects.
When a sample is collected in such a way that some members of the intended population have a significantly lower or higher sampling risk than others, sampling bias is reduced.
It yields a skewed sample of a population (or non-human variables) in which not all individuals, but rather cases, were picked in the same way. If this is not considered, the outcomes may be incorrectly attributed to the study problem rather than the sample method.
Sampling bias is often classified as a subset of selection bias, also known as sample selection bias, but some believe it to be a separate type of bias.
The difference between sampling bias and selection bias, though not frequently recognized, is that sampling bias reduces a test's external validity, whereas selection bias only addresses the internal validity of differences or similarities detected in the sample at hand.
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I kind of need a answer asap
The zero of the graph is 8 and it represents the time taken for Bart to pass out the flyers i.e 8 minutes
How to determine the graph of the scenario?From the question, we have the following parameters that can be used in our computation:
The empty graph
Also from the question, we have the following equation
f(x) = 80 - 10x
This means that
The variable f is a function of x i.e. f(x)
To plot the graph, we represent the function f(x) on the y-axis
See attachment for the graph of the function
The zeros of the functionThis is the point where the graph crosses the x-axis
This is represented a f(x) = 0
Substitute the known values in the above equation, so, we have the following representation
80 - 10x = 0
Add 10x to both sides
10x = 80
Divide both sides by 10
x = 8
Hence, the zero is 8 and it means that Bart passes out the flyers in 8 minutes
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The sum of 2.69 + (3.84 +1.54) = 2 .69 + = 8.07.
Answer:
it is equal to 8.07
Step-by-step explanation:
Gina is having a party and wants to spend less than $580. She has already spent $400. The only item left on her list is pizzas, which cost $15 each. How many pizzas, x, can she purchase and stay under her budget? Select the inequality that includes the largest number of pizzas she can purchase and still stay under her budget.
Answer:
. .
Step-by-step explanation:;
five friends were comparing the height of their dogs. the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm. what is the standard deviation (nearest integer) of the heights of these dogs?: * a) 60mm b) 400mm c) 70mm d) 414mm e) 2070mm
If the heights of five dogs are 400 mm, 370 mm, 470 mm, 330 mm and 500 mm. Then the standard deviation of the heights of the dogs is:
c) 70 mm
Given:
five friends were comparing the height of their dogs.
the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm.
we are asked to find out the standard deviation of the heights of these dogs = ?
First find mean :
(400+ 370+470 + 330 + 500)/5
Mean = 2070/5
Mean = 414
standard deviation = √∑(xi - mean)²/N-1
= √(400-414)²+(370-414)²+(470-414)²+(330-414)²+(500-414)²/4
= √(14)²+(-44)²+(56)²+(-84)²+(86)²/4
= √196+1936+3136+7056+7396/4
= √19720/4
= √4930
= 70.21
rounding it to the nearest integer.
= 70 mm
Hence we get the required standard deviation as 70 mm.
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Someone please help me
The Equation for parallel line is: y= 4x - 13
The Equation for perpendicular line is: y= 1/4 x + 2
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
The passing point is (4, 3).
Now, the slope of given line
= Rise / Run
= 4 / 1
= 4
So, the slope for parallel line is 4 and for perpendicular line is -1/4.
Now, the line passes through (4, 3)
For parallel line
y= 4x+ b
3 = 4(4)+ b
3- 16 = b
b= -13
So, Equation for parallel line is: y= 4x - 13
For Perpendicular line
y= 1/4 x+ b
3 = 1/4(4)+ b
3- 1 = b
b= 2
So, Equation for Perpendicular line is: y= 1/4 x + 2
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Mrs. Gilmore is teaching a 5th grade class. She is standing 15 feet in front of Jonah. Brianna is sitting 8 feet to Jonah's right. How far apart are Mrs. Gilmore and Brianna? feet
Mrs. Gilmore and Brianna are 17 feet apart.
Pythagoras theorem is one of the mathematical principles that can be applied to determine the value of the unknown side of a right angled triangle. Where a right angled triangle is one with one of its angles to equal [tex]90^{o}[/tex].
In the given question, sketching the distance apart of each person, it would form a right angled triangle.
Let the distance in feet between Mrs. Gilmore and Brianna be represented by d.
Then;
[tex]/Hyp/^{2}[/tex] = [tex]Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]d^{2}[/tex] = [tex]15^{2}[/tex] + [tex]8^{2}[/tex]
= 225 + 64
= 289
d = 17
Therefore, Mrs. Gilmore and Brianna are 17 feet apart.
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suppose that every student in this class earns exactly twice as many points on exam 2 as on the exam 1. what would be the value of the correlation coefficient between exam 1 score and exam 2 score?
The value of the correlation coefficient between exam 1 score and exam 2 score is -1.
Given:
suppose that every student in this class earns exactly twice as many points on exam 2 as on the exam 1.
what would be the value of the correlation coefficient between exam 1 score and exam 2 score = ?
1. the coefficient will be exactly one since it measures linear dependence and these are perfectly linear dependent.
2. the coefficient will be exactly one since it measures linear dependence and these are perfectly linear dependent.
3. the coefficient will be exactly one, it doesn't matter which score is higher.
4. the expected value will be 0 since there won't be any correlation between random values.
5. the coefficient will be -1 every high score is matched by a low score on the other test.
Hence we get the required answer.
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How do you calculate travel time in km?
With the help of time -distance formula we can calculate travel time in km for any given problem or situation.
We know the formula we relate to distance and time that which is called time -distance formula is :
t= d/s, where d is the distance and s is the speed of the object.To calculate travel time in km, first, we need to divide the total distance in km by the average speed of travel in terms of km/hour, later multiplying the result by 60 to get the travel time in minutes.
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Factor t12 – r3s15. (t4 – rs5)(t8 – rs5t4 – r2s10) (t4 – rs5)(t8 rs5t4 r2s10) (t9 – rs12)(t18 rs12t9 r2s24) (t4 rs5)(t8 – rs5t4 r2s10)
The factors of the polynomial t¹² – r³s¹⁵ is (t⁴ + rs⁵)(t⁸ - rs⁵t⁴+ r²s¹⁰). The correct answer is B.
Describe factor.The definition of a factor is a number that completely divides another number. If adding two whole numbers results in an item, the numbers we are adding are variables of the item since the item can be used to separate them.
By using formula
(a³ - b³) = ( a+ b)( a² -ab + b²)
Then,
t¹² – r³s¹⁵ = (r⁴)³ - (rs⁵)³
=(r⁴ + rs⁵)((t⁴)² - rs⁵t⁴ + (r⁵)²)
=(r⁴ + rs⁵)(t⁸ - (rs⁵t⁴) + r²s¹⁰)
Thus, required answer is (r⁴ + rs⁵)(t⁸ - (rs⁵t⁴) + r²s¹⁰), So option (B) is correct.
Your question is incomplete but most probably your full question was
Factor t¹² – r³s¹⁵ is
a.(t⁸ – rs⁵t⁴ – r²s¹⁰)
b. (t⁴ – rs⁵)(t⁸- rs⁵t⁴+ r²s¹⁰)
c. (t⁹ – rs¹²)(t¹⁸+rs¹²t⁹ +r²s²⁴) (t⁴ rs⁵)
d. (t⁸ – rs⁵t⁴)( r²s¹⁰)
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Compare the cube root of 50 and 350% using >, <, or =.
350 percent is less than the cube root of 50
350 percent is greater than the cube root of 50
the cube root of 50 is less than 350 percent
the cube root of 50 is equal to 350 percent
The 350 percent is less than the cube root of 50.
How to compare two numbers?In math, comparing numbers is defined as the process or method of determining whether one number is smaller, greater, or equal to another number based on their values.The greater number is the one with more digits. If two numbers have the same number of digits, compare the numbers' left-most digits.Here given two numbers,
∛50 and 350%
To compare the numbers we have to make to to simplest fraction,
∛50
The radical form of the cube root of 50 is ∛50, and the exponent form is (50)⅓ . The prime factorization of 50 is 2 x 5 x 5,
so the cube root of 50 in its simplest radical form is ∛50 .
50 cube root : 3.684031499
350%
The number 350% can be expressed as ,
350 / 100
350/100 = 3.5
So by comparing 3.684031499 and 3.5, 3.684031499 is larger
So ∛50 is larger than 350%
Therefore 350% is < ∛50.
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Answer:
350 percent is less than the cube root of 50
Step-by-step explanation:
the chance that a certain type of thumbtack lands point up when you toss it in the air is 80%. this makes the standard deviation of the proportion of times it lands point up out of 100 tosses equal to?
The standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
Given, the chance that a certain type of thumbtack lands point up when you toss it in the air is 80%.
we have to find the standard deviation of the proportion of the given data that it lands point up out of 100 tosses.
Number of trials be, 100
probability of success be, 80/100 = 0.8
On using the formula of Standard deviation, we get
standard deviation = n×p×(1 - p)
standard deviation = 100×0.8×(1 - 0.8)
standard deviation = 100×0.8×0.2
standard deviation = 16
So, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
Hence, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
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 Is it true that 7w + 4 = 5w + 12.
A. Write three more equations that you know are true based on this information.
B. Find the value of 2w.
C. Find the value of w.
What is the equation of this line in point-slope form?
A: y − 5 = −12(x + 2)
B: y − 5 = −2(x + 2)
C: y − 2 = −2(x +5)
D: y − 2 = −12(x + 3)
Equation of line having passing point (-2,5) and (2,-3) is y − 5 = −2(x + 2).
Hence, option B is correct.
What do you mean by equation of line?
A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. A number of points that together form a line of axes, represented as a set of variables x,y, form an algebraic equation called the line equation.
Given passing points of line (-2,5) and (2,-3)
Equation of line having two passing points (a,b) and (c,d) is
y - b = [tex]\frac{d-b}{c-a}[/tex] (x - a)
So, equation of line having passing point (-2,5) and (2,-3) is
y - 5 = [tex]\frac{-3-5}{2+2}[/tex] (x + 2)
y - 5 = -2(x + 2)
y - 5 = -2x - 4
2x + y - 5 + 4 = 0
2x + y - 1 = 0
Therefore, equation of line having passing point (-2,5) and (2,-3) is y − 5 = −2(x + 2).
Hence, option B is correct.
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laura is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company a charges and allows unlimited mileage. company b has an initial fee of and charges an additional for every mile driven. for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .
Solution of the inequality representing charges of company A is less than the company B for the mileage of 75miles or more.
As given in the question,
Let 'x' miles be the number of miles driven by company A.
For the given conditions:
Equation of company A is:
110 + 0m
Equation of company B is
65 + 0.60x
Inequality between company A and company B is:
110 + 0m < 65 + 0.60x
⇒0.60x > 110 - 65
⇒x > 45 / 0.60
⇒ x > 75 miles or more
Therefore, from the inequality 75 miles or more company A charges less than the company B.
The complete question is:
Laura is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company A charges $110 and allows unlimited mileage. company B has an initial fee of $65 and charges an additional $0.60 for every mile driven. For what mileages will company A charge less than company B? use for the number of miles driven, and solve your inequality for .
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Put the following equation of a line into slope-intercept form,
simplifying all fractions.
2x + 4y = 4
Answer:
Step-by-step explanation:
To put in slope intercept form, isolate y.
4y = -2x +4
Further divide by 4 to isolate y. What you do on one side of an equation, you also do on the other side.
4y/4 = -2x/4 +4/4
y = -1/2x +1
A line has a slope of - 1/4 and passes through the point (4,2). Through which of the following points does the line also pass?
A. (-8,-4)
B. (0,12)
C. (8,4)
D.(8,1)
The point that the line also pass would be; C. (8,4)
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Given that line has a slope of - 1/4 and passes through the point (4,2).
Now Write the equation as;
y - 2 = -1/4(x - 4)
y = -1/4x + 6
Hence, The answer is; C. (8,4)
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Graph the line that has a slope of -1/6 and includes the point (0, 5).
Click to select points on the graph.
Answer:
y = -1/6x + 5
Step-by-step explanation:
y = mx + c
Gradient (m) = -1/6
Y-intercept (c) = 5
so
y = -1/6x + 5
Allen and his two brothers decided to purchase a video game system together. They determine that each person will need to pay $32.30. How much is the cost for the video game system?
Answer:
The cost for the video game system is $96.90.
Step-by-step explanation: