Answer:
The value of the constant of proportionality is [tex]k=5[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
The value of the constant k is equal to the value of the slope
In this problem we have
[tex]y=5x[/tex] ------> is a linear direct variation
The slope is [tex]m=5[/tex]
therefore
The value of the constant of proportionality is [tex]k=5[/tex]
The constant of proportionality on the equation is 5.
To obtain the constant of proportionality ;
We compare the general direct proportionality relation with the equation given. The equation given : y = 5xThe direct relationship between y and x is :
y α x
y = kx - - - (1)
Where, y and x are variables and k is the constant of proportionality.
Comparing equation (1) with the equation given :
y = kx
y = 5x
We can observe that, k in the equation (1) equals to 5 in the given equation.
Hence, the constant of proportionality is 5
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Jeremy Spent 1/4hours on homework after school another 1/2 after she got home and a final 1/3 hour after dinner. Did she spend more or less than one hour on homework and all? Explain.
{$7.04,$7.04,$7.05,$11.99,$12.50,$12.99,$9.98,$9.99,$8.51,$11.95}
What is the mode?
What is the median?
What is the mean?
What is the IQR?
The mode of the given data set is $7.04, the median is $9.99, the mean is $9.634, and the IQR is $3.48.
Explanation:The mode of the given set is $7.04, as it occurs the most number of times.
The median is $9.99, which is the middle value when the data is arranged in ascending order.
The mean can be calculated by finding the sum of all the values and dividing it by the total number of values. In this case, the mean is $9.634.
The IQR (Interquartile range) is the difference between the third quartile and the first quartile. To find the IQR, we need to first calculate the quartiles. First, we arrange the data in ascending order: $7.04, $7.04, $7.05, $8.51, $9.98, $9.99, $11.95, $11.99, $12.50, $12.99. The first quartile is the average of the 3rd and 4th values, which is $8.51. The third quartile is the average of the 8th and 9th values, which is $11.99. Therefore, the IQR is $11.99 - $8.51 = $3.48.
A total of 428 tickets sold for the school play. They were either adults tickets or student tickets. The number of students tickets sold was three times the number of adult tickets sold. How many adults tickets were sold.
107 adult tickets were sold for the school play.
Explanation:Let's denote the number of adult tickets sold as x. According to the given information, the number of student tickets sold is three times the number of adult tickets sold. So, the number of student tickets sold would be 3x. The total number of tickets sold is 428, so we can set up the equation:
x + 3x = 428
Combining like terms, we have:
4x = 428
Dividing both sides of the equation by 4, we find:
x = 107
Therefore, 107 adult tickets were sold.
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A coin is tossed 5 times. let x count the number of heads tossed. determine x hhtht ( ).
How many solutions does the following equation have?
|3x + 12| = 18 (5 points)
No solution
One solution
Two solutions
Infinitely many solutions
Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, cos (t) < 0.
Find the general solution of the given differential equation. x2y' + x(x + 2)y = ex
how do you write 2.22 in expanded form
Answer:
[tex]2 + \frac{2}{10}+\frac{2}{100}[/tex]
Step-by-step explanation:
In the expanded form we write a number as the sum of all place value of its digits from left to right,
Here, the given number,
2.22
By the place value chart,
Place value of first digit = 2 ( ones )
Place value of the first digit after decimal = [tex]\frac{2}{10}[/tex] ( tenth )
Place value of the second digit after decimal = [tex]\frac{2}{100}[/tex] ( hundredth )
[tex]\implies 2.22 = 2 + \frac{2}{10}+\frac{2}{100}[/tex]
Suppose another sample of 41 students is to be randomly selected from this population. find the probability that the mean of this sample is greater than 110.
Is the symbol μμ used for the population mean or sample mean?
choices are.....
population mean
sample mean
The symbol μ is used for population mean, while x is used for sample mean in statistics.
Explanation:The symbol μ (pronounced "mew") is used to represent the population mean.
The population mean is a parameter that represents the average value of a variable in the entire population.
On the other hand, the symbol x is used to represent the sample mean, which is the average value calculated from a subset of the population called a sample.
The symbol μ (pronounced "mew") is used to represent the population mean.
It denotes the mean of all values within an entire population, which is a parameter of that population.
To illustrate why μ represents the population mean, consider a dataset: 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 4.
If this were to represent an entire population, we would calculate the mean and then denote it with μ.
Prove that for any positive integer n a field f can have at most a finite number of elements of multiplicative order at most n
Find the perimeter of 6 regular octagons linked together side by side,if one side is 4.5 inches.
the sum of two consecutive numbers is 73. what are the numbers?
Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ± five divided by six times x.. (2 points)
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there is 2 attachments btw pppllzzz explain both of them
Evaluate the integral by interpreting it in terms of areas. 0 4 + 36 − x2 dx −6
To evaluate the integral by interpreting it in terms of areas, we can break it down into two parts: the integral from 0 to 4 of 36 - x^2, and the integral from 0 to -6 of 36 - x^2. This represents the area between the curve and the x-axis.
Explanation:To evaluate the integral by interpreting it in terms of areas, we can break it down into two parts: the integral from 0 to 4 of 36 - x^2, and the integral from 0 to -6 of 36 - x^2. Since the function is given as 36 - x^2, it represents the area between the curve and the x-axis. The integral from 0 to 4 represents the area between the curve and the x-axis above the x-axis, while the integral from 0 to -6 represents the area between the curve and the x-axis below the x-axis.
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Plz help it’s du in like 1 hour
How many five digit zip codes are possible if digits cannot be repeated?
1st digit - 0-9 = 10 numbers
2nd digit = 9 numbers
3rd digit = 8 numbers
4th digit = 7 numbers
5th digit = 6 numbers
10 * 9 * 8 * 7 * 6 = 30,240 zip codes
What is the inverse of the statement? A number that has exactly two distinct factors is prime.
Answer:
The inverse statement is
"A number that does not has exactly two distinct factors is not prime"
Step-by-step explanation:
Given a statement we have to tell the inverse of that statement.
The given statement is
"A number that has exactly two distinct factors is prime".
We have to write the inverse of the above statement.
The inverse of the statement is
"A number that does not has exactly two distinct factors is not prime"
Put a check by all the factors of 15
answers : 1, 2, 3, 4, 5, 10, 15.
please answer ASAP
The gasoline tank of a minivan holds 18 gallons. How many quarts can the tank hold?
To convert 18 gallons to quarts, multiply by the conversion factor of 4 quarts per gallon, giving a result of 72 quarts.
The gasoline tank of a minivan holds 18 gallons. To determine how many quarts it can hold, we need to use the conversion factor that 1 gallon is equivalent to 4 quarts. Since we are converting from a larger unit to a smaller unit, we will multiply the number of gallons by 4.
18 gallons x 4 quarts/gallon = 72 quarts
Therefore, the minivan's gasoline tank can hold 72 quarts of gasoline.
At one basketball game there were 1207 people. At the next game they were 958 people how many people were at two games?
Your great aunt sally loans you $5000 for three years and asks that you repay it with annually compounding interest at the rate of 8% per year. how much do you repay her after three years?
How do transformations affect the logarithmic graph?
Foston is between library and West Quan and is 4 inch away from the library on the map how far is Boston from West qual
Boston is 4 inches away from West Quan.
Explanation:Foston, positioned between the Library and West Quan on the map, is noted as being 4 inches away from the Library. Given that Library and West Quan lie on the same line, it can be inferred that Foston and West Quan share the same 4-inch separation. Consequently, the distance from Boston to West Quan is deduced to be 4 inches. This deduction is based on the assumption that the spatial relationship between Foston, Library, and West Quan forms a straight line. Therefore, the proximity of Foston to the Library serves as a reference for determining the distance between Foston and West Quan, establishing it at 4 inches.
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need help with this plz help me
Which expression is modeled by this arrangement of tiles?
A.-40/10
B.40/(-10)
C.40/10
D.40/40
ASAP
Line segment CD is shown on a coordinate grid:
A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is rotated 90 degrees counterclockwise about the origin to form C'D'. Which statement describes C'D'?
A) C'D' and CD are equal in length.
B) C'D' is parallel to CD.
C) C'D' is half the length of CD.
D) C'D' is greater than twice the length of CD.
how many 5/16 are in 1 7/8
To determine how many 5/16 are in 1 7/8, you convert 1 7/8 to an improper fraction, 15/8, and then divide it by 5/16, which yields 6.
Explanation:To find out how many 5/16 are in 1 7/8, you first need to convert 1 7/8 to a improper fraction. Since 1 is equal to 8/8, adding 7/8 gives us 15/8. Now, to find how many 5/16 are in 15/8, you can divide 15/8 by 5/16. To do this, you multiply 15/8 by the reciprocal of 5/16, which is 16/5.
15/8 × 16/5 = (15×16)/(8×5) = 240/40. This simplifies to 6, meaning there are 6 segments of 5/16 in 1 7/8.
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A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. 1)A deer is 10 miles per hour faster than a bison. 2)A bison is 10 miles per hour faster than a deer. 3)A deer is 0.66 miles per hour faster than a bison. 4)A bison is 0.66 miles per hour faster than a deer.