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The test scores of 10 students are listed below. Find the value of the first quartile.
67 67 69 70 70 74 75 78 79 79 80
A)69
B)69.5
C)68
D)70
Answers
Answer:
69
Step-by-step explanation:
67 67 69 70 70 74 75 78 79 79 80
______________
67 67 69 70 70 -> First Quartile
74 - Middle Quartile
75 78 79 79 80 -> Third Quartile
First Quartile -> 67 67 69 70 70
69 is middle
Answer = 69
Related Questions
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If pean
cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of each should he use?
Let p = pounds of peanuts and let c= pounds of cashews. Write a system of equations that could be used to solve
problem
Answers
Answer:
May I know how much does the grocer want to earn with the sales of his mixtures? Or are you asking what is the least/greatest amount of pounds of each of the peanuts and cashews respectively should he use to earn money?
Step-by-step explanation:
in this lab, you have investigated six of the most important distributions in probability theory. you should now have a good idea of when to expect these distributions to appear. for the random variables below, indicate whether you would expect the distribution to be best described as geometric, binomial, poisson, exponential, uniform, or normal. we do not have data, so you will not to use the computer for these questions. for each item, give a brief explanation of your answer. a one-sentence explanation should be sufficient. the number of days in the next month that the first daily 4 number drawn in the california state lottery is a 6. (each day, this number is equally likely to be any of the 10 digits.) the time of day that the next major earthquake occurs in southern california. the number of free throws that a basketball player attempts until she misses one. the number of phone calls that a store manager gets in the next hour. the number of minutes that the store manager is waiting before her next phone call. the number of people, out of the next 20 people who die in san diego county, who are over age 85. the amount of time before the next house fire in san diego county.
Answers
Who are over the age of 85 would be best described by a binomial distribution.
How does the binomial distribution account for the number of people over the age of 85 in the next 20 deaths in San Diego County?For the number of days in the next month that the first daily 4 number drawn in the California State Lottery is a 6, the best distribution would be geometric.The reason is that each day the number drawn is equally likely to be any of the 10 digits, so the probability of getting a 6 on any given day is 1/10. Geometric distribution models the number of trials needed to obtain the first success in a sequence of independent trials with a fixed probability of success.
The time of day that the next major earthquake occurs in Southern California would be best described by a uniform distribution. This is because earthquakes can occur at any time during the day and are not influenced by specific patterns or probabilities throughout the day.The uniform distribution assumes that all outcomes within a given range are equally likely.
The number of free throws that a basketball player attempts until she misses one is best described by a geometric distribution. The player attempts each free throw independently, and the probability of missing a free throw remains constant throughout the attempts.The geometric distribution models the number of trials needed to achieve the first failure in a series of independent trials with a fixed probability of failure.
The number of phone calls that a store manager gets in the next hour is likely to follow a Poisson distribution.The Poisson distribution is appropriate when events occur randomly in time and the average rate of occurrence is known. In this case, the rate of phone calls per hour would determine the parameter of the Poisson distribution.
The number of minutes that the store manager is waiting before her next phone call is best described by an exponential distribution.The exponential distribution models the time between events in a Poisson process, where events occur randomly and independently over time. In this case, the store manager's waiting time between phone calls follows an exponential distribution.
The number of people, out of the next 20 people who die in San Diego County, who are over the age of 85 would be best described by a binomial distribution.The binomial distribution models the number of successes (people over 85) in a fixed number of independent Bernoulli trials (deaths) with a constant probability of success (the proportion of people over 85 in the population).
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Rewrite each expression by combining like terms.
9tu - 15tu
PLEASE
Answers
Answer:
-6tu
Step-by-step explanation:
Hope this helps
Have a great day/night
Feel free to ask any questions
if a snowball melts so that its surface area decreases at a rate of 1 cm min, find the rate at which the diameter decreases when the diameter is 10 cm.
Answers
The rate at which the diameter decreases when the diameter is 10 cm is -0.00798 cm/min.
To find the rate at which the diameter decreases, we can use the relationship between the surface area and the diameter of a sphere.
The surface area of a sphere is given by the formula:
A = \(4\pi r^2\), where A is the surface area and r is the radius (which is half the diameter).
Differentiating both sides of the equation with respect to time t, we get:
dA/dt = 8πr(dr/dt).
We are given that the surface area decreases at a rate of \(1 cm^2/min\), so dA/dt = \(-1 cm^2/min\). We want to find dr/dt when the diameter is 10 cm, which means the radius is r = 10/2 = 5 cm.
Substituting these values into the equation, we have:
-1 = 8π(5)(dr/dt).
Simplifying, we get:
-1 = 40π(dr/dt).
Now, solving for dr/dt:
dr/dt = -1 / (40π).
Using a calculator, this evaluates to approximately -0.00798 cm/min.
Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.00798 cm/min. Note that the negative sign indicates the decrease in diameter.
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find a general solution for the differential equation with x as the independent variable. 1. y" + 2y" - 8y' = 0 2. y"" - 3y" - y' + 3y = 0 3. 62"" +72"-2²-22=0 4. y"" + 2y" 19y' - 20y = 0 5. y"" + 3y" +28y' +26y=0 6. y""y"+ 2y = 0 7. 2y""y" - 10y' - 7y=0 8. y"" + 5y" - 13y' + 7y=0 13. y(4) + 4y" + 4y = 0 14. y(4) + 2y +10y" + 18y' +9y = 0 [Hint: y(x) = sin 3x is a solution.]
Answers
A differential equation is an equation that relates one or more functions and their derivatives.
For x as the independent variable, let's find the general solutions for the given differential equations.1. y" + 2y" - 8y' = 0
General solution: y(x) = c1e^(4x) + c2e^(-2x)2. y"" - 3y" - y' + 3y
= 0
General solution: y(x) = c1e^x + c2e^(3x)3. 62"" +72"-2²-22
=0
General solution: y(x) = c1e^(-x/2) cos(2x/3) + c2e^(-x/2) sin(2x/3)4. y"" + 2y" 19y' - 20y
= 0
General solution: y(x) = c1e^(-5x) + c2e^(4x)5. y"" + 3y" +28y' +26y
=0
General solution: y(x) = c1e^(-7x) cos(4x) + c2e^(-7x) sin(4x)6. y""y"+ 2y
= 0
General solution: y(x) = c1cos(x/√2) + c2sin(x/√2)7. 2y""y" - 10y' - 7y
=0
General solution: y(x) = c1e^(7x/4) + c2e^(-1/2x)8. y"" + 5y" - 13y' + 7y
=0
General solution: y(x) = c1e^x + c2e^(7x)13. y(4) + 4y" + 4y
= 0
General solution: y(x) = c1 + c2x + c3e^(-x/2) cos(x/2) + c4e^(-x/2) sin(x/2)14.
y(4) + 2y +10y" + 18y' +9y = 0
General solution: y(x) = c1 + c2x + c3e^(-3x) sin(2x) + c4e^(-3x) cos(2x)
For the given hint y(x) = sin(3x) is a solution for the equation y(4) + 2y +10y" + 18y' +9y = 0,
that's why the general solution for the equation y(4) + 2y +10y" + 18y' +9y = 0 is;
y(x) = c1 + c2x + c3e^(-3x) sin(2x) + c4e^(-3x) cos(2x) + c5sin(3x)
where c1, c2, c3, c4, and c5 are arbitrary constants.
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What is the distance between P(-3, 10 ) and Q( 12,-6)
Answers
In 2012, gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that random samples of 100 respondents were selected from both vermont and hawaii. From the survey, vermont had 65. 3% who said yes and hawaii had 62. 2% who said yes. What is the value of the sample proportion of people from vermont who exercised for at least 30 minutes a day 3 days a week?.
Answers
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.
It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.
To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:
1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65
This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.
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What is 0.04% of 30? Round to the nearest hundredth
Answers
Answer:
0.012
Step-by-step explanation:
Have a good day.
Answer:
.01
Step-by-step explanation:
Change the percent to decimal form
.04% = .0004
.0004 *30
.012
Round to the nearest hundredth
.01
What is the y-intercept of the line?
Answers
joseph uses a ladder to reach a window 10 feet above the ground. if the ladder is 3 feet away from the wall, how long should the ladder be? round to the nearest hundredth of a foot.
Answers
The ladder should be about 10.44 feet long (rounded to the nearest hundredth of a foot) for Joseph to reach the window 10 feet above the ground when the ladder is 3 feet away from the wall.
To solve this problem, we'll use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c² = a² + b².
In this case, the ladder acts as the hypotenuse, the distance from the wall to the ladder's base is one side (a = 3 feet), and the height of the window is the other side (b = 10 feet).
Using the Pythagorean theorem:
c² = (3)² + (10)²
c² = 9 + 100
c² = 109
Now, to find the length of the ladder, we'll take the square root of 109:
c ≈ √109
c ≈ 10.44
So, Joseph should use a ladder that is approximately 10.44 feet long, rounded to the nearest hundredth of a foot.
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Margot is driving from Hillwood to Gotham City, 441 miles appart from each other. Margot already drove 281 miles. If Margot drives at a constant speed of 80 miles per hour, what equation can we make to find out how much time will Margot take to get to Gotham City? Represent the time in hours as the variable x. Show your work here
Answers
The equation representing the time it will take Margot to get to Gotham City is x=2. indicating that she will take 2 hours to cover the remaining 160 miles and reach her destination.
Margot has already driven 281 miles out of the total distance of 441 miles. So, the remaining distance she needs to cover is 441 - 281 = 160 miles.
Since Margot is driving at a constant speed of 80 miles per hour, we can use the formula , time = distance / speed to calculate the time it will take for her to cover the remaining distance.
Let's represent the time in hours as the variable x. The equation can be written as:
x= 80/ 160
Simplifying, we have: x=2
Therefore, the equation representing the time it will take Margot to get to Gotham City is x=2, indicating that she will take 2 hours to cover the remaining 160 miles and reach her destination.
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HELP PLEASE I"LL GIVE 18 POINTS
Answers
Answer:
- $ 2.87
Step-by-step explanation:
The price after 17 hours would have dropped more than what the stock was originally worth. So depending on whether we are talking about the real world or not, the stock would be worth $0
If you are just looking at the numbers, the stock would drop $ 27.88 after 17 hours. The original prices was $ 25.01 so the value now would be
- $ 2.87
Assume A is the set of positive integers less than 10 and B is the set of positive integers less than or equal to 20, and R is a relation from A to B defined as follows: R = {(a, b) | a ∈ A, b ∈ B, a is divisible by 4 ∧ b = 2a}. Which of the following ordered pairs belongs to that relation? Question 24 options: (6, 12) (16, 32) (12, 6) (8, 16) Question 25 (4 points) Given the relation R = {(n, m) | n, m ∈ ℤ, n ≥ m}. Which of the following statements about R is correct? Question 25 options: R is not a partial order because it is not antisymmetric R is not a partial order because it is not reflexive R is a partial order R is not a partial order because it is not transitive
Answers
The set of elements of the given relation
R = {(a, b) | a ∈ A, b ∈ B, a is divisible by 4 and b = 2a} is
R = { (4 , 8) , (8 , 16)}
Given, A is the set of positive integers less than 10
and B is the set of positive integers less than or equal to 20,
and R is a relation from A to B defined as follows:
R = {(a, b) | a ∈ A, b ∈ B, a is divisible by 4 and b = 2a}.
we have to find the ordered pairs which belong to the given relation,
As, 'a' should be divisible by 4 and we should also get 'b' by multiplying 'a' by 2.
So, the set of elements of the relation R is,
R = { (4 , 8) , (8 , 16)}
Hence, the set of elements of the given relation
R = {(a, b) | a ∈ A, b ∈ B, a is divisible by 4 and b = 2a} is
R = { (4 , 8) , (8 , 16)}
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PLEASE HELP- URGENT!
Answers
Step-by-step explanation and Answer:
i) 48-(10-3+(\(4^{2}\)))+2 x (4)
=33
ii)7 x (2) + 3 x (5)-(2)-1)³
=2
iii) (3 x 10)+9 x (3)-3
=54
iv)135÷ (1+\(2^{2}\)) -(8)-5)x 4
=15
On Sunday sandy pays for 2 plane tickets, 7 nights in a hotel and 2 theme park tickets
Answers
Sandy spent more than $2500. She spent a total of $2540.
How much did Sandy spend?The amount Sandy spent is a function of the total amount spent on plane tickets, hotel stays and visits to the theme parks.
Total amount spent on plane tickets = 600 x 2 = $1,200Total amount spent on hotel stays = 120 x 7 = $840Total amount spent on theme parks = $250 x 2 = $500
Total amount = 1200 + 840 + 500 = $2540
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PLEASE YALL I NEED TO GET THIS DONE TN
Ricky is playing a game using 5 cards and a spinner. The cards are numbered 1,2,3,4, and
5 and the spinner is divided into three equal parts. If Ricky picks a card and spins the
spinner, what number would represent the sample size?
options
15
8
3
5
Answers
Answer:
15
Step-by-step explanation:
The cards have 5 possible outcomes and the spinner has 3 possible outcomes. To find the sample size, you need to calculate the number of possibilities when drawing 1 card and landing on 1 side of the spinner. You can do this by multiplying the possible outcomes together.
5×3 = 15
Therefore, the sample size is 15.
Answer:
Option 1: 15
Step-by-step explanation:
Ricky is playing a game using 5 cards and a spinner
Card 1 , Card 2 , Card 3 , Card 4 , Card 5
and
㉦ Green, Red, Blue
Ricky picks a card and spins the spinner
The sample size outcome is:
{(1, G) (1, R) (1, B) (2, G) (2, R) (2, B) (3, G) (3, R) (3, B) (4, G) (4, R) (4, B) (5, G) (5, R) (5, B)}
Sample size is 15
due now!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
the answer is C
go along the x and in ue case it is going along the left which means the linear will be negative so thats x-2
and in cases like going downwards the y the linear value will also be negative so thats y-5
so its (x-2)(y-5)
what is10 + 9
i really dont know
can someone help me
Answers
\( \huge \green{ \boxed{ANSWER}}\)
\(10 \: + \: 9 \: = {\boxed{19}}\)
USE CALCULATOR -_-
\( \mathfrak{JazmineChoi}\)
STAN TREASURE
Answer:
19
Step-by-step explanation: 10 +9 = 19
Can you draw a triangle using these lengths for the sides? why?
Answers
Answer:
Explanation:
Using the lengths of the given sides, we want to check if we can get a triangle from the three side lengths
To ascertain this, we use the length principle as regards triangles
The principle is that the sum of the lengths of two sides must be greater than the third side
Let us say the triangle has sides a,b and c
Then:
\(\begin{gathered} a\text{ + b > c} \\ b\text{ + c > a} \\ a\text{ + > b} \end{gathered}\)since:
\(1\text{ + 6 < 8}\)We cannot draw a triangle out of the given side lengths
Thus, our answer is NO
The reason for that is because the sum of the lengths of two of the sides is less than the third side
which statistical method could a scientist use to estimate the strength of evidence that a particular node in a phylogeny exists?
Answers
A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.
Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.
Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.
Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.
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Which graph below represents an inequality that begins with y < . . . .
Answers
The graph which could represent an inequality which begins with y < .... is; Choice C; C.
Which of the answer choices represents an inequality: y < ...?It follows from the task content that the graph which could represent an inequality that begins with y < ..is required to be determined.
Since the inequality symbol is less; it follows that the boundary line for the inequality would be a broken line and the region shaded is the region below the line.
Ultimately, the graph that could represent the inequality is; Choice C; C.
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The equation F = (9/5) C+32 relates temperatures on the Celsius and Fahrenheit scales. Does any temperature have the same number reading on both scales? If so, what is the number?
Answers
Both Fahrenheit and Celsius scales will have the same reading at temperature -40⁰.
The equation to convert temperature reading from Celsius to Fahrenheit degree is:
F = (9/5) C + 32
Where:
F = Fahrenheit reading
C = Celsius reading
The equation tells us that the ratio of increment in Fahrenheit to Celsius scale is 9 : 5, and there is an offset 32 degree in Fahrenheit scale.
Suppose a specific temperature has the same number reading on both scales, then:
F = C
Substitute this into the equation:
F = (9/5) C + 32
C = (9/5) C + 32
C - (9/5) C = 32
-4/5 C = 32
C = 32 . (-5/4) = -40
Hence, both Fahrenheit and Celsius scales have the same reading at temperature -40⁰.
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This is math. Please help due soon.
Answers
Answer:
A (0,6) B (6, 1) C (2,2)
Step-by-step explanation:
A (4, 4)
[-4, 2]
Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates
Image Coordinates:
A----->A¹(0,6)
B----->B¹(2,3)
C----->C¹(-2,4)
Use the long division method to find the result when x³ + 3x² + 5x + 6 is divided
by x + 2.
i hate deltamath.
Answers
\((x + 2)x( {x }^{2} + x + 3)\)
Point M is the midpoint of AB¯¯¯¯¯. AM=3x+3, and AB=8x−6.
What is the length of AM¯¯¯¯¯¯?
Enter your answer in the box.
units
Answers
Answer: the answer is 21 units
Step-by-step explanation:
I took the test
Answer: the correct answer is 21 units
Step-by-step explanation: hope this helps :)
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Explanation:
We can substitute burgers for m and drinks for p, since all burgers are the same price and drinks are the same price, substitute the 3 burgers and 2 drinks into
3m+2p
The only right answer for this equation is $13.50, substitute the 5m+4p=$23.50 and your only right answer is B
When the following half reaction is balanced under acidic conditions, what are the coefficients of the species shown? Pb2+ + H₂O PbO2 + H+ In the above half reaction, the oxidation state of lead changes from __ to ___
Answers
The balanced half reaction under acidic conditions for the given equation is: Pb2+ + 2H₂O -> PbO2 + 4H+. The oxidation state of lead changes from +2 to +4 in this half reaction.
The balanced half reaction under acidic conditions for the given equation is:
Pb2+ + 2H₂O -> PbO2 + 4H+
To balance the equation, we need to ensure that the number of atoms of each element is the same on both sides.
In this half reaction, the coefficients are:
Pb2+ -> 1
H₂O -> 2
PbO2 -> 1
H+ -> 4
The oxidation state of lead changes from +2 to +4 in this half reaction. The lead atom in Pb2+ is losing two electrons and being oxidized to PbO2, where it has an oxidation state of +4.
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Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this with the lights on secretly hehe, and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/
Answers
1/2 = 0.5
4/10 = 0.4
5/8 = 0.625
0.4 < 0.5
0.625 > 0.5 <—- Wrong!
Answer:
The first can that is 4/10 full.
Step-by-step explanation:
Well half of 8 is 4 and 4/8 is equal to 1/2. So 5/8 in this case is over 1/2. The can that is 4/10 full is less than 1/2 because half of 10 is 5 (5/10), so it is beneath that 1/2 mark.
I hope my explanation was easy to understand because I tried to make it simple.
:) :) :)
How to find an equation for a linear equation
Answers
Step-by-step explanation:
The format is : y=mx + b
m= slope (rise/run)
b= starting value or y-intercept
If you need specific help on finding a linear equation for a graph or a table let me know.
Please help me with this question.
Answers
Answer:
aww i help u.....
Step-by-step explanation:
my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED