Field A typically has plants with more consistent heights. You can tell because the IQR of its samples is less than that of the other field.
What is a box-and-whisker plot?In Mathematics and Statistics, a box plot is a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.
How to calculate the interquartile range (IQR)?Mathematically, interquartile range (IQR) of a data set is typically calculated as the difference between the first quartile (Q₁) and third quartile (Q₃):
Interquartile range (IQR) of data set = Q₃ - Q₁
Interquartile range (IQR) of field A = 10 - 6
Interquartile range (IQR) of field A = 4.
Interquartile range (IQR) of field B = 11 - 3
Interquartile range (IQR) of field B = 8.
In conclusion, we can reasonably infer and logically deduce that sunflower field A has plants with more consistent heights because the interquartile range (IQR) of its samples is less than that of field B.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
5x+3=13
Find x in the following equation
Answer:
Therefore, the solution to the equation 5x + 3 = 13 is x = 2.
Step-by-step explanation:
To solve the equation 5x + 3 = 13 for x, we can follow these steps:
Subtract 3 from both sides of the equation to isolate the term with x:
5x + 3 - 3 = 13 - 3
5x = 10
Divide both sides of the equation by 5 to solve for x:
(5x) / 5 = 10 / 5
x = 2
Therefore, the solution to the equation 5x + 3 = 13 is x = 2.
Answer:
To solve for x in the equation 5x + 3 = 13, we need to isolate x on one side of the equation.
First, we can subtract 3 from both sides of the equation:
5x + 3 - 3 = 13 - 3
This simplifies to:
5x = 10
Next, we can isolate x by dividing both sides of the equation by 5:
5x/5 = 10/5
This simplifies to:
x = 2
Therefore, the solution to the equation 5x + 3 = 13 is x = 2.
Step-by-step explanation:
Find the measure of 7
HELP ASAPPPPPPPPPPP DUE IN TWO HOUR
The graph shows a function of the form f(x) = ab^x.
Use the drop-down menus to complete the statements about the function, and then write an equation that represents this function.
The function shown in the graph must be the function f(x)=2×4ˣ
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: f(x)=abˣ and when x is equal to 0 then f(0)=2
also if x increases by the functions gets multiplied by 4
Thus if f(0)=2 then f(1)= 8 , f(2)=32
or the function can be rewritten as f(x)=2×4ˣ
Thus f(0)=2×4⁰
=2
f(1)=2×4¹
Hence, The function shown in the graph must be the function f(x)=2×4ˣ
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√4x²-20x+25=5-2x
HELP PLEASE!!! P.S the entire equation 4x²-20x+25 is under the square root
Answer:
The equal is valid for x≤ 5/2
Step-by-step explanation:
sqrt(4x²-20x+25)=5-2x
Square both sides
(sqrt(4x²-20x+25))^2=(5-2x)^2
Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2
(4x²-20x+25)=25-20x+4x^2
The left side is equal to the right side
We need to check for extraneous solutions
The break point is 5-2x =0
5 =2x
x =5/2
Check x < 5/2
Let x=0
sqrt(4x²-20x+25)=5-2x
sqrt(25)=5
True
Check x=5/2
sqrt(4x²-20x+25)=5-2x
sqrt(4(25/4)-20*5/2+25)=5-2(5/2)
sqrt(25-50+25)=5-5
0=0
True
Check x>5/2
Let x=10
sqrt(4x²-20x+25)=5-2x
sqrt(4*100-20*10+25)=5-2*10
sqrt(400-200+25)=5-20
sqrt(225) = -15
15 does not equal -15
False
The equal is valid for x≤ 5/2
Suppose a basketball player has made 359 out of 449 free throws. If the player makes the next 3 free throws, I will pay you $39. Otherwise you pay me $43.
Step 2 of 2 : If you played this game 623 times how much would you expect to win or lose?
Answer: expect to lose 679.07 dollars
==========================================================
Explanation:
Assuming each free throw is independent of any other, the probability of making the next free throw is 359/449
The probability of making 3 in a row is (359/449)^3 = 0.511145 approximately which represents the probability of earning the $39
That must mean 1-0.511145 = 0.488855 is the approximate probability of losing $43
Let's make a table of outcomes and their associated probabilities.
X = amount of money the player earns (the person shooting the free throws)
\(\begin{array}{|c|c|} \cline{1-2}\text{X} & \text{P(X)}\\\cline{1-2}39 & 0.511145\\\cline{1-2}-43 & 0.488855\\\cline{1-2}\end{array}\)
Then from here we'll multiply each X and P(X) value for each separate row.
Example: 39*0.511145 = 19.934655
Let's form a third column of these products
\(\begin{array}{|c|c|c|} \cline{1-3}\text{X} & \text{P(X)} & \text{X}*\text{P(X)}\\\cline{1-3}39 & 0.511145 & 19.934655\\\cline{1-3}-43 & 0.488855 & -21.020765\\\cline{1-3}\end{array}\)
Add up everything in the X*P(X) column and you should get roughly -1.08611 which rounds to -1.09
The player expects, on average, to lose about $1.09 each time they play this game. Playing 623 times means they should expect to lose 623*1.09 = 679.07 dollars
Of course, given the nature of this random process, it's not a guarantee they will lose this amount. This is just the average of many attempts.
PLEASE HELP MEEEEE!!A cat gets stuck on the roof. If the latter is 12 feet long and must be placed 7 feet away from the building. How high can the ladder reach up the building to save the cat
Answer:
the height the ladder can reach up the building to save the cat = 13.9feet
Question:
The question didn't state the height of the building. If the ladder was initially 12feet and then it was extended to another length to reach the top of the roof, we need the height of the building to enable us calculate how high the ladder can reach up the building the save the cat.
Let's consider the following question:
A cat gets stuck on the roof. If the ladder is 12 feet long and must be placed 7 feet away from the building. How high can the ladder reach up the building to save the cat if the height of the building is 12feet.
Step-by-step explanation:
The distance between the foot of the ladder to foot of the building = 7feet
adjacent = 7feet
The height of the building = 12feet
Opposite = 12feet
The length of the ladder is unknown
To find how high can the ladder reach up the building to save the cat, we would apply Pythagoras theorem
Using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent²
Hypotenuse ² = 12² + 7²
Hypotenuse ² = 144 + 49
Hypotenuse ² = 193
Hypotenuse = √193
Hypotenuse = 13.9feet
The height of the ladder to reach up the building to save the cat = 13.9feet
factor if possible x/2+9x+18
Answer:
3) (x+6)(x+3)=0
4) (x+2)(x-6)=0
Step-by-step explanation:
add. simplify the answer and write it as a mixed number 2/15+3/10+4/5
Answer:
1 7/30
Step-by-step explanation:
First find common denominator then solve
\(\frac{2}{15} + \frac{3}{10} + \frac{4}{5}\\\\\frac{4+9+24}{30} = \frac{37}{30} = 1\frac{7}{30}\)
Which of the following equations describes the graph?
Can somebody help me pls
the answer can vary between x=−1 or x=2 or x=−3 or x=3
explanation:
x4−x3−11x2+9x+18=0
Step 1: Factor left side of equation.
(x+1)(x−2)(x+3)(x−3)=0
Step 2: Set factors equal to 0.
x+1=0 or x−2=0 or x+3=0 or x−3=0
x=−1 or x=2 or x=−3 or x=3
A bag has five balls labeled A, B, C, D, and E.
One ball will be randomly picked, and its letter will be recorded as the outcome. give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of choosing the letter B.
If there is more than one element in the set, separate them with commas.
The outcomes for the event of choosing the letter B are: B
How to determine all of the outcomes for the event of choosing the letter B.The sample space describes all possible outcomes when randomly picking a ball from the bag. In this case, the bag contains five balls labeled A, B, C, D, and E. Therefore, the sample space is {A, B, C, D, E}, which represents all the possible outcomes.
Now, for the event of choosing the letter B, we need to identify the outcomes that correspond to selecting the ball labeled B. In this case, there is only one outcome that satisfies this event, which is the ball labeled B.
Therefore, the outcomes for the event of choosing the letter B are:
B
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Student Council has 1,064 flowers. They want to divide the flowers evenly among 28 centerpieces. How many flowers will be in each centerpiece?
To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:
Total number of flowers: 1,064
Number of centerpieces: 28
Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces
Number of flowers in each centerpiece = 1,064 / 28 = 38
Therefore, there will be 38 flowers in each centerpiece.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer: 38
Step-by-step explanation:
The question is asking you to divided.
1064 divided by 28 = 38
So there will be 38 flowers in each centerpiece
For the following exercises, line L is given.
a. Find point P that belongs to the line and direction vector v of the line. Express v in component form.
b. Find the distance from the origin to line -x=y+1, z=2
a. Point P on the line and the direction vector v of the line can be expressed as P = (x0, y0, z0) + t(a, b, c).
b. The distance from the origin to the line -x=y+1, z=2 is the shortest distance between a point and a line.
Here (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector. To find (x0, y0, z0) and (a, b, c), we need more information about the line.
This formula involves taking the dot product of the direction vector of the line and the difference between a point on the line and the origin. Again, we need more information about the line in order to calculate this distance.
Without more information about line L, it is not possible to find the point P or the distance from the origin to the line.
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Line q passes through the points (3,5) and (-2,4).
10. Give a second pair of coordinates on the line parallel to q that passes through (0,1).
11. Give a second pair of coordinates on the line perpendicular to q that passes through (3,5).
The second pair of coordinates on the line parallel to q that passes through (0,1) is (1,-4/5) and that of (3,5) is (1,7).
How to solve equation of a line?The general form of the equation of a line is y=mx+c
where
m=slope
c is a constant
The equation of the line is
m= \(\frac{y-y_{1} }{x-x_{1} }\)
M=\(\frac{5-4}{3+2}\)
m=1/5
From the slope formula
m = -1/5
X₎=0
y₎=1
substitute these in the formula for slope
\(\frac{-1}{5} =\frac{y-1}{x-0}\)
x=5y-5
x-5y=5
Now, with the above-derived equation, we need to find the other co-ordinate as these coordinates will satisfy this equation.
when x=1,
x-5y=5
1-5y=5
-5y=5-1
y=\(\frac{-4}{5}\)
The other coordinate is (1,-4/5)
11. In the second line (3,5)
Using the slope formula
m=\(\frac{Y_{2}-Y_{1} }{X_{2}-X_{1} }\)
\(\frac{-1}{5} =\frac{y-5}{x-3}\)
x-3=-y+2
x+y=5+3
x+y=8
Also, with the above-derived equation, we need to find the other co-ordinate as these coordinates will satisfy this equation.
when x=1,
x+y=8
1+y=8
y=8-1
y=7
Therefore the second coordinate is (1,7)
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An ordered pair satisfies the equation is the point on the ____ line
Answer:megan thee stallion
Step-by-step explanation:
mehgan
When Makayla runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 1.5 seconds. What is the probability that in a given race, her finishing time will be between 75 and 78 seconds, to the nearest thousandth?
The probability that in a given race, her finishing time will be between 75 and 78 seconds, using the normal distribution, is of:
0.4772 = 47.72%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the finishing times are given as follows:
\(\mu = 75, \sigma = 1.5\)
The probability that in a given race, her finishing time will be between 75 and 78 seconds, is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 75, hence:
X = 78:
Z = (78 - 75)/1.5
Z = 2
Z = 2 has a p-value of 0.9772.
X = 75:
Z = (75 - 75)/1.5
Z = 0
Z = 0 has a p-value of 0.5.
0.9772 - 0.5 = 0.4772 = 47.72%.
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what is the answer to this question. i made it 20 pts
Answer:
the second choice
The area of a rectangular field is 1.12×10^45 square feet. If the length of the field is 7×10^11 feet, and the width of the field can be written as 1.6×10x feet, what is the value of x?
Answer:
x = 10^34
Step-by-step explanation:
length × width = area
area/length = width
width = (1.12 × 10^45 ft²)/(7 × 10^11 ft)
width = 1.12/7 × (10^45)/(10^11) ft
width = 0.16 × 10^34 ft
width = 1.6 × 10^34 ft
width = 1.6 × x ft
x = 10^34
The value of x is \(10^3^2\) or \(\rm x =10^3^2\)
It is given that the area of a rectangular field is \(\rm 1.12\times10^4^5 \ feet^2\)
It is required to find the value of x
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have:
Area of rectangle = \(\rm 1.12\times10^4^5 \ feet^2\)
The length of the rectangle = \(7\times 10^1^1\) feet
The width of the rectangle = \(\rm 1.6\times 10x\) feet
After putting the values in the formula, we get:
\(\rm 1.12\times10^4^5 =7\times 10^1^1\times\rm 1.6\times 10x\)
\(\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\\)
\(\rm x =\frac{1.12\times10^4^5}{7\times 10^1^1\times\rm 1.6\times 10} \\\\\rm x = 0.1\times 10^3^3\)
\(\rm x =10^3^2\)
Thus, the value of x is \(10^3^2\)
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will give brainliest to whoever answers first
This trapezoid has been divided into two right triangles and a rectangle.
How can the area of the trapezoid be determined using the area of each shape?
Enter your answers in the boxes.
The area of the rectangle is
in², the area of the triangle on the left is
in², and the area of the triangle on the right is
in².
The area of the trapezoid is the sum of these areas, which is
in².
Answer:
The area of the triangle on left is 9
in², the area of the triangle on the right is 9
in², and the area of the rectangle is 108
in².
The area of the trapezoid is the sum of these areas, which is 126
in².
find the difference below as a fraction 6/2_7/7
Answer:
2
Step-by-step explanation:
\(\frac{6}{2}\) - \(\frac{7}{7}\) First simplify each fraction
\(3\) - 1 Then solve
2 Final answer
Form linear functions given the following information: f(1) = -2 and if f(x) = 0, then x=4
express the following equation in standard form and indicate the values of a,b and c 5x =y-14
step by step pls
Answer:a=5
b= -1
c= -14
The standard equation is
ax + by = c .........(i)
given equation
5x = y - 14
or, 5x - y = - 14
or, 5x + (-1 × y) = - 14 ........(ii)
comparing equation (ii) with (i)
a= 5
b= -1
c = -14
The venom of Conus geographus is extremely toxic to humans. The neurotoxins of the cone shell are small peptides of fewer than 30 amino acids that target the neuronal communication sequence to achieve paralysis. The normal prey of geographus are small fish. Envenomation in humans leads to a wide range of symptoms. Sixty percent of the victims experience intense pain, 75% experience swelling around the wound, and 40% have both symptoms. (a) Draw an appropriate Venn diagram for these data (b) Are the two symptoms independent of each other? (c) What is the probability that the victim will experience at least one of these symptoms? (d) If a victim experiences swelling, what is the probability he will also have intense pain? (e) What is the probability that a victim will experience pain but not swelling? (f) What is the probability that a victim will not experience either symptom?
Therefore , the solution of the given problem of probability comes out to be probability of not experiencing either symptom is 0.05.
What precisely does the probability method suggest?Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any number range between 0 and 1, where 1 is frequently used to describe certainty and 0 is commonly used to denote possibility, can be used to represent chance. A probability diagram shows the likelihood that a particular event will occur.
Here,
To determine if the two symptoms are independent, we need to check if the probability of one symptom changes depending on whether the other symptom is present or not.
P(pain | swelling) = 40% / 75% = 0.533
P(pain | no swelling) = 20% / 25% = 0.8
Since the conditional probabilities are not equal, the two symptoms are dependent.
(c) The probability that the victim will experience at least one of these symptoms is the probability of experiencing pain, swelling, or both. This can be calculated as:
P(pain or swelling) = P(pain) + P(swelling) - P(pain and swelling)
= 60% + 75% - 40%
= 95%
So the probability of experiencing at least one of these symptoms is 95%.
(d) The probability that a victim will have intense pain given that they have swelling is the conditional probability:
P(pain | swelling) = 40% / 75%
= 0.533
So the probability of having intense pain given that there is swelling is 0.533.
(e) The probability that a victim will experience pain but not swelling can be calculated as:
P(pain and no swelling) = P(pain) - P(pain and swelling)
= 60% - 40%
= 20%
So the probability of having intense pain without swelling is 20%.
(f) The probability that a victim will not experience either symptom is the complement of the probability of experiencing at least one symptom:
P(neither pain nor swelling) = 1 - P(pain or swelling)
= 1 - 0.95
= 0.05
So the probability of not experiencing either symptom is 0.05.
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which of the following graphs could represent a graph of a function? select all that apply
Graph A and graph D represents quadratic function and linear function respectively.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
In the given figure,
In option A graph parabola represents the quadratic function.
In option B graph doe's not represents the function.
In option C graph doe's not represents the function.
In option D graph straight line represents the linear function.
Therefore, option A and option D are the correct answers.
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Meme 80 points! :D good boi
Answer:
hey man
Step-by-step explanation:
hope this answer helped
click that link below
thanks
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Select all the equations where r 3 is a solution.
Answer:
The right answers are 1,4 and 6
Answer:
x-3 =0
6=2x
x^2 = 9
Step-by-step explanation:
substitute the values, and you will get the answer!
have a great day!!
if you have 12 rice and you throw it of the velocity of 23 kilometers per hour how many hours does it take to get the velocity of earts speed?
It would take approximately 1.3 hours for 12 rice to reach the velocity of Earth's orbit at a velocity of 23 km/hr.
What is velocity of Earth's orbit ?The velocity of Earth's orbit around the sun is approximately 30 km/s.
To determine how many hours it takes for 12 rice to reach this velocity, you must use the formula for calculating average speed:
Average Speed = Total Distance/Total Time
Since the total distance is the speed of Earth's orbit (30 km/s) and the total time is the amount of time it takes to reach this speed, then you can solve for the total time by rearranging the equation:
Total Time = Total Distance/Average Speed
Therefore, the total time it takes to reach the velocity of Earth's orbit is:
Total Time = 30 km/s/23 km/hr
= 1.3 hours
It would take approximately 1.3 hours for 12 rice to reach the velocity of Earth's orbit at a velocity of 23 km/hr.
This is because the average speed of the rice is equal to the total distance (30 km/s) divided by the total time (1.3 hours).
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Jose May 20% off of his free throws over the season if he shot a 180 free throws how many did he make
Answer:
He made 36 free throws out of 180
Mamady is planning a trip. He will stay six nights at a hotel that charges $51.25 a night. What is a good estimate of the total amount he will pay for the hotel? 250, 300, 360, 50.
Answer:
Answer is 300
Step-by-step explanation:
because 51.25x6=307.5 and the closest estimate is 300.