The y-coordinate of a point of intersection with the x-axis is 0, then for the first function, g(x) = x² + x - 2, we can find its x-intercepts by replacing 0 for g(x), then we get:
0 = x² + x - 2
By applying the quadratic we can identify two solutions for the above expression, that i,s x = -2 and x = 1, then the function g(x) = x² + x - 2 has two x-intercepts (-2, 0) and (1, 0).
The second function f(x) has only one x-intercept since its vertex is located at (2, 0), if the vertex of a parabola intersects the x-axis this is the only point of intersection with the x-axis.
As you can see in the graph, the third function h(x) has no x-intercept its vertex is located above the x-axis and it opens upward
Choose the linear inequality that describes the graph the grey area represents the shaded region
Answer:
Explain to me how you expect anyone to do this,
as you haven't provided the graph or the inequalities.
Step-by-step explanation:
The ratio of blue to red cars in a car park are 3:2 what percentage of cars are red? and blue?
Answer:40%
Step-by-step explanation:
For every 5 cars two are red. Percentage of red cars to blue is 2/5 * 100 = 40%
The same amount of principal is invested in different accounts earning the same interest rate. Which of the following
accounts would have the greatest accumulated value at the end of one year?
a. An account earning no interest
b. An account earning simple interest
C. An account earning interest compounded annually
d. An account earning interest compounded daily
Please select the best answer from the choices provided
.
А A
OB
С
D
Answer:
d. An account earning interest compounded daily
Step-by-step explanation:
An account earning interest compounded daily will have the greatest accumulated value at the end of one year.
Compound interest provides a higher return on value compared to simple interest even much more so when it is done daily.
Compound interest is an interest accrued on the principal and subsequent interest on capital. Simple interest is simply interest on the capital alone. The time duration plays an important role. A principal compounded daily at a certain rate will yield more value at the end of a year than one compounded weekly, monthly, quarterly or annually.Therefore, an account earning interest compounded daily will give a better return of value.
PLSSS NEED HELP WILL GIVE CROWN
Add :
-1.25 + 2.5 = 1.25
For plotting the first one we first need to see the integer as here is 1 we will move to 1. Now, here it is given 0.25. Each line between 1 and 2 has 10 numbers gap so, as it 25 > 20 and 25 < 30. So, we should plot it between the 2nd and the 3rd line. As it is 5 it should be in between the line.
Refer the plotting for better identification
Add :
4.2 + (-0.4)
4.2 - 0.4
3.8
For plotting this one we will move to 3 than it has 8 < 10 so it should be plotted within the first dot.
Refer the attachment for better identification
Do I have to take the STAAR test in Aldine ISD as an online student?
Answer: Yes!
Step-by-step explanation:
Hello, I'm a brainly helper. Well..not really but i want to become one soon so if you need help with any question or anything else let me know, I am ALWAYS happy to help! Thxs.
Jose made this table to show the relationship between his age and his cousin Mario's age.
Jose wants an equation he can use to find his own age (j) given Mario's age (m).
Complete Jose's equation:
y=_____
José's age (years) 10 11 12 13
Mario's age (years) 3 4 5 6
The equation to compute José's age (j) given Mario's age (m) is y = m + 7.
What is an equation?An equation is a mathematical statement that claims that two mathematical expressions are equal or equivalent in value.
Equations are written with the equation symbol (=) to confirm the equality of two mathematical expressions or values.
José's age (years) j 10 11 12 13
Mario's age (years) m 3 4 5 6
Common difference 7 7 7 7
Thus, using the common difference between José's age and Mario's age as 7, we can write the equation for computing José's age given Mario's age as y = m + 7.
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Answer:
j=m+7
Step-by-step explanation:
Which is equivalent to 2x(+7)18x+4/5
Answer:
-16x +\(14 4/5
Step-by-step explanation:
what is the probability that a data value and a normal distribution is between a z score -1.32 and a z score of 0.94
Answer:
0.733
Step-by-step explanation:
Using a calculator or table:
P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)
P(-1.32 < Z < 0.94) = 0.8264 − 0.0934
P(-1.32 < Z < 0.94) = 0.733
On a coordinate plane, points (1, 3), (5, 9), and (7, 12) are plotted. Which of the following statements are true about this graph? Check all that apply. The three points do not form a straight line. The three points form a straight line. The graph passes through the origin. The graph does not pass through the origin. The graph shows a proportional relationship. The graph does not a show a proportional relationship.
Answer:
its 2,4,6 - b,d,f
Step-by-step explanation:
The three points form a straight line.
The graph does not pass through the origin.
The graph does not a show a proportional relationship.
Answer:
2, 4, 6
Step-by-step explanation:
100 Points! Geometry question. Find x and y. Photo attached. Please show as much work as possible. Thank you!
The calculated values of x and y in the figure are x = 2 and y = 4
How to calculate x and y in the figurefrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
equal side lengths
This means that
2y - 1 = 3y - 5
Evaluate
y = 4
Next, we have
x + 3 = 3/2x + 2
So, we have
1/2x = 1
This gives
x = 2
Hence, the values of x and y in the figure are x = 2 and y = 4
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Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
Which set of ordered pairs does not represent a function?
{(1,−8),(8,−2),(−7,−4),(−7,3)}
{(8, 3), (-2, -8), (-5, -8), (-6, -5)}
{(−2,4),(9,−8),(1,−4),(−1,−4)}
{(−8,−3),(−3,1),(6,−3),(4,0)}
The ordered pair that does not represents a function is as follows:
{(1,−8),(8,−2),(−7,−4),(−7,3)}
What is a function?A function relates an input to an output.
A function relates each element of a set with exactly one element of another set (possibly the same set).
A function is defined with a domain (the set of input values that it takes) as well as a codomain or range (the set of possible values it can return).
A function has to return a value for each element of the domain.
Therefore, the ordered pair that does not represents a function is as follows:
{(1,−8),(8,−2),(−7,−4),(−7,3)}
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Patients in a room who undergo heart surgery, infection after surgery is 9%. The length of hospital stay for patients who develop an infection following heart surgery can be modeled by a normal distribution with a mean of 6 days and a standard deviation of 2 days.
What is the probability that an infected patient’s length of stay will be greater
than 7 days?
What is the 70th percentile in stay length for a patient given that they have a
post-operative infection?
What is the probability that the average stay length of the next 2 infected patients
is less than than 5.5 days?
What is the probability that a patient is infected and then stays for 3 to 4 days?
1. The probability that an infected patient’s length of stay will be greater than 7 days is 0.3085.
2. The 70th percentile in stay length for a patient given that they have a
post-operative infection is 7.04.
3. The probability that the average stay length of the next 2 infected patients is less than 5.5 days is 0.3632.
4. The probability that a patient is infected and then stays for 3 to 4 days is 0.1587.
How to find the probability?1. Probability of an infected patient staying more than 7 days:
We can standardize the normal distribution using the formula: Z = (X - μ) / σ, where X is the length of stay, μ is the mean length of stay, and σ is the standard deviation of the length of stay.
So, Z = (7 - 6) / 2 = 0.5.
Using a standard normal distribution table or calculator, we can find the probability that a patient will stay longer than 7 days as:
P(Z > 0.5) = 0.3085.
2. The 70th percentile in stay length for an infected patient:
We can use the inverse standard normal distribution function to find the Z-score corresponding to the 70th percentile.
Using a standard normal distribution table or calculator, we find that the Z-score corresponding to the 70th percentile is approximately 0.52.
So, Z = 0.52 = (X - 6) / 2.
Solving for X, we get:
X = 6 + 0.52 * 2 = 7.04.
3. Probability that the average stay length of the next 2 infected patients is less than 5.5 days:
The average length of stay of 2 infected patients can be modeled by a normal distribution with a mean of 6 days (the mean of a single infected patient's length of stay) and a standard deviation of σ/√2, where σ is the standard deviation of the length of stay of a single infected patient.
So, the standard deviation of the average length of stay of 2 infected patients is:
σ/√2 = 2/√2 = 1.414 days.
Using the standardized normal distribution formula, we get:
Z = (5.5 - 6) / 1.414 = -0.3536.
Using a standard normal distribution table or calculator, we can find the probability that the average stay length of the next 2 infected patients will be less than 5.5 days as:
P(Z < -0.3536) = 0.3632.
4. Probability that a patient is infected and then stays for 3 to 4 days:
We can standardize the normal distribution as before using the formula:
Z = (X - μ) / σ, where X is the length of stay, μ is the mean length of stay, and σ is the standard deviation of the length of stay.
For X = 3 days, Z = (3 - 6) / 2 = -1.5.
For X = 4 days, Z = (4 - 6) / 2 = -1.
Using a standard normal distribution table or calculator, we can find the probability that a patient is infected and then stays for 3 to 4 days as:
P(-1.5 < Z < -1) = P(Z < -1) - P(Z < -1.5) = 0.1587
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Which equation is equivalent to 2 Superscript 4 x Baseline = 8 Superscript x minus 3?
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 3
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 6
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 3
The equivalent exponential equations are given as follows:
\(2^{4x} = 2^{3(x - 3)}\)
How to obtain the equivalent exponential expression?The exponential expression for this problem is defined as follows:
\(2^{4x} = 8^{x - 3}\)
The number eight is the third power of 3, that is:
8 = 2³.
The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:
\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)
Meaning that the correct option is given by the fourth option.
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PLS HELP I DONT REMEMBER HOW TO DO THIS
Answer:
oh lord...ill try my best
Step-by-step explanation:
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
im sorry think this is wrong I TRIED MY BESTTTT!!!!!!!! give me credit this is tiring
Identify the explanatory variable and the response variableA golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.The explanatory variable is the _____The response variable is the _____
Answer:
the explanatory variable is "the amount of practice every year" while the response variable is "the improvement in his game"
Step-by-step explanation:
In simple terms, the difference between explanatory and random variable is that the response variable is usually the focus of a question in a study/experiment while an explanatory variable is a variable that explains changes in the response variable. Which means that the explanatory variable is simply any variable that may affect the response variable.
Now, in this question, the golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.
This means that the amount of practice every year explains how much he improves every year.
Thus, the explanatory variable is "the amount of practice every year" while the response variable is "improvement in his game"
Question 3 (1 point)
Karl wants to find the width RQ of a river. He starts at point R, and walks
perpendicular along the edge of the river 42 ft and marks point S. He then walks 28
ft further and marks point T. He turns 90° and walks until his location (point U), point
S, and point Q are collinear. Suppose TU= 68 ft. What is the width of the river in
feet?
The width RQ of the river is approximately 61.98 ft.
To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.
Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.
From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.
Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.
From the given information, we know that TU = 68 ft.
Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.
The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
UQ² = TU² - US²
UQ² = 68² - 28²
UQ² = 4624 - 784
UQ² = 3840
Taking the square root of both sides, we have:
UQ = √3840
UQ ≈ 61.98 ft
Therefore, the width RQ of the river is approximately 61.98 ft.
Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.
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4 + 62 + 9 ∙ 3 - 10 asap for brainliest
\(215.\)
Step-by-step explanation:
\(4 + 62 = 66.\)
\(66 + 9 = 75.\)
\(75 \times 3 =225.\)
\(225 - 10 = 215.\)
\(\frac{2}{2+\sqrt{7} }\)
Answer:
\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)
Step-by-step explanation:
This is a rationalizing denominator question.
Given expression:\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)
Select the correct answer.
Which statement is true about function f, which is shown in the graph?
f(x) = -805 + 413 + 5x
Answer:
The function is neither even nor odd.
Step-by-step explanation:
A function is odd if:
f(x) = - (f-x)
A function is even if:
f(x) = f(-x)
A function is neither odd nor even if neither of the above two equalities are true, that is to say:
f(x) != f(-x) and f(x) != -f(-x)
Which is our case. (because substituting (-x) in place of (x) will not give us either of the equations. So the function is neither odd, nor even.
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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From the top of a building 30 meters high, the angle of elevation to the top of a monument is found to be equal to the angle of depression to the foot of the monument. Find the height of the monument.
The height of the monument is 30 meters.
We have,
Let's assume the height of the monument is "h" meters.
From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.
In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.
The opposite side of the angle of depression is the height of the monument, which is "h" meters.
Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.
Therefore, the opposite sides are equal in length.
By setting up the equation:
h = 30
Thus,
The height of the monument is 30 meters.
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What is the slope of the linear function represented in
the table?
Answer: C) 1/7
Step-by-step explanation:
Find the Slope
(−7, 0) , (0, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
\(y_2 -y_1\)
m = ______
\(x_2 - x_1\)
Substitute in the values of x and y into the equation to find the slope.
1 − (0)
m = ______
0 − (−7)
Simplify the numerator.
1
m = ______
0 − (−7)
Simplify the denominator.
Multiply −1 by −7.
1
m = _____
0 + 7
Add 0 and 7.
1
m = ___
7
Please answer this question.
Answer:
Step-by-step explanation:
\(1c-0.25c=0.75c\)
The product of 6 and 2 decreased by 1
Answer:
11
expression: 6(2)-1
Step-by-step explanation:
6*2=12
12-1=11
Write a program that gets a list of integers from input, and outputs negative integers in descending order (highest to lowest).
The program that gets a list of integers from input, and outputs negative integers in descending order is
# Get input from user
lst = list(map(int, input("Enter a list of integers: ").split()))
# Filter negative integers
negatives = list(filter(lambda x: x < 0, lst))
# Sort negatives in descending order
negatives.sort(reverse=True)
# Print sorted negative integers
print("Sorted negative integers:", negatives)
To start, we will need to understand what integers are. In mathematics, an integer is a whole number that can be positive, negative, or zero. Examples of integers include -3, 0, 1, and 10.
Let's break down this code step by step:
We start by getting input from the user using the input function. We prompt the user to enter a list of integers, and then use the split method to split the input string into a list of strings.
We then use the filter function to create a new list containing only the negative integers from the original list. The lambda function passed to filter checks if each element of the list is less than zero.
We sort the list of negative integers in descending order using the sort method, with the reverse parameter set to True.
Finally, we print the sorted list of negative integers.
In summary, this program takes a list of integers as input, filters out the negative integers, sorts them in descending order, and then prints the sorted list.
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Write slope intercept form of an equation of the line with slope -2 and Y intercept -18
Answer:
\(y=-2x-18\)
Step-by-step explanation:
The slope-intercept equation of a line is y=mx+b, where m is the slope and b is the y-intercept.
The given values are:
m=-2
b=-18
So,
\(y=mx+b\\y=(-2)x+(-18)\\y=-2x-18\)
In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until the third defective bulb is found. Compute the probability that the third defective bulb is the fifth bulb tested.
Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
In this problem, the bulbs are chosen without replacement, hence the hypergeometric distribution is used to solve this question.
What is the hypergeometric distribution formula?The formula is:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem:
There are 12 bulbs, hence N = 12.3 are defective, hence k = 3.The third defective bulb is the fifth bulb if:
Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.Hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182\)
0.2182 x 1/8 = 0.0273.
0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
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In the table, x represents every mile driven in a cab and y Is the HELP PLEASE!slope increasing or decreasing?
represents the cost.
x
1.25
2.50
3.75
5
6.25
Intro
y
7.50
10.0
12.5
15.0
17.5
What is the slope for this scenario?
In the given scenario slope is increasing and the value of increasing slope is 2.
Slope may be defined as the extent of steepness of a curve in a graph in the given question x is given by miles driven in the cab and y represents the cost. y is the dependent variable and x in independent because the cost depends on the amount of miles driven. Here, in the question as the miles driven by the car increases the cost also increases. This proves that if the data is plotted on graph, it will give an increasing slope.
The value of slope can be determined by
Slope = (10.0 - 7.50)/(2.50 - 1.25)
Slope = 2.5/1.25
Slope = 2
This also gives a positive value. Thus, the slope is increasing.
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A doctor is interested in analyzing the increase in systolic blood pressure caused by a certain chemo drug. Would the doctor be more interested in studying the mean, median, or mode of the systolic blood pressures
Answer:
Mean.
Step-by-step explanation:
When a doctor analyzes the increase in systolic blood pressure caused by a certain chemo drug. The doctor would be more interested in studying the mean of the number of observed systolic blood pressures. As mean would give a better understanding of pressure since it involves the use of all observations. However, it is important to keep in mind that all the units should be considered for the average.