Answer: 54
Step-by-step explanation:
Average = Total/ total number
Average= 36 +72/2
= 108/2
= 54
54 is the average of the two numbers 36 and 72.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We need to find the average of the two numbers 36 and 72.
The average (A) of two number, M and N, is given by the formula A=m+n/2
Let m = 36
n=72
Now to find the average of two numbers we have to plug in these values in the formula
A=36+72/2
=108/2
=54
Hence, 54 is the average of the two numbers 36 and 72.
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vector is flying his helicopter at 200 miles per hour. how long has he been flying if he has traveled 1,200 miles? A. 2 hours B. 60 hours C. 6 hours D. 10 hours??? please help
A line goes through the point (6,–2) and has a slope of –3.
What is the value of a if the point (a,7) lies on the line?
The value of a in the point (a, 7) is 3
The slope intercept equation is as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
Let's find b using (6, -2)
m = -3
y = -3x + b
-2 = -3(6) + b
-2 = -18 + b
b = -2 + 18
b = 16
Therefore,
y = -3x + 16
let's find the value of a in (a, 7)
7 = -3x + 16
7 - 16 = -3x
-9 = -3x
x = -9 / -3
x = 3
Therefore,
a = 3
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what number would you add to both sides of x^2-20x=5 to complete the square
n2-14n+49 what’s the answer
Unknown angle measures?
PLEASE HELP!!!!!!!!!!!
Whats the value of x?
4x=5x-12
x=
If Jessie is 24 years younger than her mother and if the sum of their ages is 84, how old is Jessie?
On Saturday,miguel biked 36 kilometers in 2 hours. What was his average rate of speed in kilometers per hour?
The average rate of speed of Miguel when he biked on Saturday given the distance and time is 18 kilometers per hour.
What is the average speed?
Average speed is the rate at which an object moves with respect to time. Average speed is determined by dividing total distance travelled by time.
Average speed = total distance / time
36 / 2 = 18 kilometers per hour.
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Question 9
If x is a small negative integer and y is a large positive integer, which of the following expressions must be positive?
A x * y
B y − x
C y ÷ x
D x ÷ y
BRAINLIESTTTTTTTTTTT!!
1. For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?
2x + y = 8
−x − 3y = −12
3y + 12
−3y + 12
3y − 12
−3y − 12
2. please check my answer for the picture question
please help i will give a brainlist if you get it right
Which of the following is NOT equivalent to the ratio: 12/4 A.6/2 B. 36/12 C.24/16 D.240/80
find the median of the data set: -66, -48, -52, -42
A digital camera memory card is 1/4 full. The card is 2/3 full when 375 more pictures have been taken. How many pictures can the memory card hold?
Final answer:
The memory card can hold a total of 900 pictures.
Explanation:
The question asks us to find the total capacity of the memory card in a digital camera by using the information that it is 1/4 full before 375 pictures are added, and 2/3 full after these pictures are added.
Let's define the total capacity of the memory card as 'x' pictures.
If 1/4 of the card is full, then it contains x/4 pictures.
After adding 375 pictures, the card becomes 2/3 full, which means:
x/4 + 375 = (2/3)x
To solve for x, we need to get all the x's on one side of the equation and the numbers on the other side:
Multiply both sides of the equation by 12 to get rid of the fractions: 12(x/4) + 12(375) = 12(2/3)xSimplify the equation: 3x + 4500 = 8xSubtract 3x from both sides: 4500 = 5xDivide both sides by 5: 900 = xTherefore, the memory card can hold a total of 900 pictures.
solve for y: 7/9y = 42
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
How much time passes until the second bus catches up with the first bus?
Final answer:
The second bus catches up with the first bus in 2 hours.
Explanation:
To calculate how much time passes until the second bus catches up with the first bus, we need to find the distance between them when the second bus starts and the relative speed between the two buses.
When the second bus starts, the first bus has already traveled for 1 hour (from 4:00 p.m. to 5:00 p.m.) at a speed of 40 mph. Therefore, the first bus has covered a distance of 40 miles.
The relative speed between the two buses is the difference in their speeds, which is 60 mph - 40 mph = 20 mph.
Using the formula: t = d / v, where t is the time, d is the distance, and v is the speed, we can calculate the time it takes for the second bus to catch up with the first bus:
t = 40 miles / 20 mph = 2 hours.
Therefore, it takes 2 hours for the second bus to catch up with the first bus.
What does it mean if the determinant of a matrix is 0?
Final answer:
The determinant of a matrix is 0 means the matrix is singular, indicating no unique solution for the corresponding system of equations, or in geometry, that space is compressed to a lower dimension.
Explanation:
When the determinant of a matrix is 0, it signals that the matrix does not have an inverse and is considered singular. In practical terms, this means that the system of equations that corresponds to the matrix does not have a unique solution. For instance, in a square matrix, if the determinant is zero, it may indicate that the rows or columns are linearly dependent, meaning that at least one row or column is a scalar multiple of another, resulting in redundant information. In geometry, if we're dealing with transformation matrices, a determinant of zero implies that the transformation compresses the space into a lower dimension, effectively 'flattening' it, and thus, the original geometrical figure loses its volume.
write a word phrase for each algebraic expression
1. 100 - 5n
2. 25r + 6
Please check my answer!
Hogan needs to rent a car while on vacation. The cost of the vehicle is $21 per day. He gives the office manager $180 up front. If x represents the number of days and y represents the total cost of the rental, which equation will help Hogan determine if he owes the agency money at the end of his trip or if the agency owes him money?
Answer:
[tex]y=21x-180[/tex]
Step-by-step explanation:
The cost of the vehicle is $21 per day. He gives the office manager $180 up front.
The upfront is a type of advance payment that is deducted from the final amount.
Let x represents the number of days and y represents the total cost of the rental.
So, the correct equation here is :
[tex]y=21x-180[/tex]
Jason started a hat-making business. He spent $750 to purchase supplies to get started and he uses about $3.50 worth of supplies per hat made. Jason charges $15 for each hat. Let h represent the number of hats.
What is the minimum number of hats Jason will need to sell to make a profit?
A. 15h>750+3.5h
B. 3.5h≥750+15h
C. 3.5h>750+15h
D. 15h<750+3.5h
Evaluate the expression 14.3-2×5^2÷5
What is the y-coordinate of the vertex of the parabola that is given by the equation below?x = -2.5(y - 3)2 + 5?
what is the common factor of 24a^3c and 3a
Which number below best represents a temperature of 59.18 degrees above zero? A. -69.18 B. 69.18 C. 59.18 D. -59.18
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers? n; n - 4; 4n n; 4 - n; n + 4 n; n/4; n + 4
Answer:
Numbers: 11, 7 and 44
Expressions: n, n - 4, 4n
Step-by-step explanation:
We have that A + B + C = 62, where A, B and C represent numbers.
We know that the 2nd number (B) is equal to the first number (A), diminished by 4. This means B = A - 4
We also know that the 3rd number (C) is four times the first (A), that is to say 4*A. This means C = 4*A
If we replace this information in the first expression, we have
A + B + C = A + (A - 4) + (4*A) = 62
We change an equation of 3 variables to an equation of just one. Now we solve it putting together the terms that have the variable A:
A + A - 4 + 4*A = 62
2A + 4A - 4 + 4 = 62 + 4
6A = 66
A = 11
Our first number is 11, now we find B and C:
B = A - 4 = 11 - 4 = 7
C = 4A = 4*11 = 44
So, the numbers are 11, 7 and 44
If we change the A for a "n", the expressions that represent the numbers are n, n - 4 and 4n
Find the solution of the initial value problem. dp/dt=5e^t, p(0)=25
The equation is [tex]p = 5e^{t} +20[/tex].
IntegrationIt is a method of summing up parts to find the whole. It is a reverse process of differentiation.
Given
dp/dt=5e^t
To findThe value of p.
How to get the value of p?dp/dt=5e^t is given
[tex]\begin{aligned} \dfrac{dp}{dt} &= e^{t} \\\int dp &= \int {5e^{t} } \, dt \\\int dp &= 5 \int {e^{t} } \, dt \\p &= 5e^{t} +c\\\end{aligned}[/tex]
It is given that at t=0, p will be 25, then
[tex]p = 5e^{t} + c\\c = p - 5e^{t}\\c= 25 - 5e^{0}\\c= 25 - 5 * 1\\c= 20[/tex]
Hence the equation will be [tex]p = 5e^{t} +20[/tex].
Thus, the equation is [tex]p = 5e^{t} +20[/tex].
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The length of a rectangle is 5 in. more than twice its width. its area is 102 in2. find the length of the rectangle
What is 781,407 rounded to the nearest ten thousand What is 781,407 rounded to the nearest ten thousand?
Given the system of constraints, name all vertices of the feasible region. Then find the maximum value of the given object function.
A sample of 36 is drawn from your population and a sample mean of 86 is computed. is this sample mean in the extreme 5% or the middle 95 %