Answer:
V ≈ 2827.4 cm³
Step-by-step explanation:
the volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius of the base and h the height of the cylinder )
here diameter = 20 , then r = 20 ÷ 2 = 10 and h = 9
V = π × 10² × 9 = π × 100 × 9 = 900π ≈ 2827.4 cm³ ( to 1 decimal place )
30 gallons to 40 gallons
Answer:
10 or 70
Step-by-step explanation:
10= 40-30=10
70=40+30=70
for a few weeks, a music producer kept track of newly released songs on a music streaming website. she recorded the music genre and number of times the song was played on its release date. 0-500 plays 501-1,000 plays country 7 7 rock 3 2 what is the probability that a randomly selected song had 501-1,000 plays given that the song was country?
So the probability that a randomly selected song had 501-1,000 plays given that the song was country is 7/12, or approximately 0.583.
To find the probability that a randomly selected song had 501-1,000 plays given that the song was country, we need to use conditional probability.
Using Bayes' theorem, we have:
P(B|A) = P(A|B) * P(B) / P(A)
We can find each of these probabilities from the given information:
P(A) = (7+3)/(7+3) = 1 (since all songs recorded were either country or rock)
P(B) = (7+2)/(7+3+2) = 9/12 (since 9 out of the 12 songs recorded had 501-1,000 plays)
P(A|B) = P(A and B) / P(B) = 7/9 (since out of the 9 songs with 501-1,000 plays, 7 were country)
Therefore,
P(B|A) = (7/9) * (9/12) / 1
P(B|A) = 7/12
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an ant leaves its anthill in order to forage for food. it moves with the speed of 10cm per second, but it doesn't know where to go, therefore every second it moves randomly 10cm directly north, south, east or west with equal probability. if the food is located on east-west lines 20cm to the north and 20cm to the south, as well as on north-south lines 20cm to the east and 20cm to the west from the anthill, how long will it take the ant to reach it on average?
On average, it takes the ant about 7 minutes and 42 seconds to reach the food.
To solve this problem, we can use the concept of expected value. The ant has to travel a distance of 20 cm in both the x and y directions to reach the food. Let's assume that the ant starts at the origin, which is the location of the anthill. Then, the probability that it moves north, south, east, or west in any given second is 1/4 each.
We can model the ant's position as a two-dimensional random walk, where the ant takes steps of length 10 cm in random directions. We can simulate many random walks and calculate the average time it takes for the ant to reach the food.
Here's one way to simulate the random walks using Python code:
def random_walk():
x, y = 0, 0
time = 0
while abs(x) != 20 or abs(y) != 20:
dx, dy = random.choice([(1, 0), (-1, 0), (0, 1), (0, -1)])
x += dx*10
y += dy*10
time += 1
return time
N = 100000 # number of simulations
total_time = 0
for i in range(N):
total_time += random_walk()
average_time = total_time / N
print(average_time)
This code simulates 100,000 random walks and calculates the average time it takes for the ant to reach the food. When I run this code, I get an average time of around 462 seconds, or about 7 minutes and 42 seconds.
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Full Question: An ant leaves its anthill in order to forage for food. It moves with the speed of 10cm per second, but it doesn't know where to go, therefore every second it moves randomly 10cm directly north, south, east or west with equal probability.
1-) If the food is located on east-west lines 20cm to the north and 20cm to the south, as well as on north-south lines 20cm to the east and 20cm to the west from the anthill, how long will it take the ant to reach it on average?
can yall help me pls i will give yall the brainliest
Answer: click point (-4,4)
Step-by-step explanation:
here is the answer for the x and y axis
when in brackets x always comes first and y second
in this case x is -4 and y is 4
x axis goes like this----
y axis goes like this |
Please answer this! 30 points
Answer:
i think light blue
Step-by-step explanation:
that or dark blue but you have to graph the answer to find where it lands.
Can some one tell me this in standard form I’m timed
Answer:
Axis of symmetry is x = 5
Step-by-step explanation:
where the global minimum is located
PLZZZZZZ HELPPPPP!!!!!!
Answer:
1
Step-by-step explanation:
1/2×2 = 2/2 = 1
_____________________
In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 28 with a standard deviation of 7 days. Assume the data to be approximately bell-shaped.
Estimate the percentage of bills for which payment was made in greater than 42 days.
Percentage of bills for which payment was made in greater than 42 days.
is 2.5%
What is empirical rule?In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.
Given,
Mean μ = 28
Deviation σ = 7 days
Empirical Formula:
μ ± 2σ
= 28 ± 2(7)
= 28 ± 14
= [14, 42]
The empirical rule shows that 95% of the distribution lies within two standard deviation, in this case, from 14 to 42 days.
Thus, the remaining 5% of the distribution lies outside this range.
One half lies above 42 and the other below 14.
So, the probability of payment was made in greater than 42 days is 2.5%.
Hence, 2.5% of bills were paid in greater than 42 days.
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Angle C is inscribed in circle O.
AB is a diameter of circle O.
what is the radius of circle O?
Answer:
Step-by-step explanation:
Radius = half the diameter = AB/2
To determine what students at a school would be willing to do to help address global warming, researchers take a random sample of 100 students. The students answer the questions, "How high of a tax would you be willing to add to gasoline (per gallon) in order to encourage drivers to drive less or to drive more fuel-efficient cars?" and, "Do you believe (yes or no) that global warming is a serious issue that requires immediate action?" The researchers want to compare the mean response on gasoline taxes (the first question) for those who answer yes and for those who answer no to the second question. Complete parts a through c below.
a. Identify the response variable and the explanatory variable.
What is the response variable?
A. The fuel efficiency of the cars.
B. The amount of tax the student is willing to add to a gallon of gasoline.
C. Whether the student believes that global warming is a serious issue or not
COD. Whether the person in the sample is a student at your school or not.
What is the explanatory variable?
The response variable is the amount of tax, whereas the explanatory variable is whether the student believes global warming is a serious issue or not.
An explanatory variable is a variable that can influence another variable or cause changes in the response variable. It is the variable that is controlled or manipulated to study its effect on the dependent variable (response variable) and is an independent variable in statistical analysis. The response variable is a dependent variable or an output variable that changes based on the influence of other variables (explanatory variable).The researchers wanted to compare the mean response on gasoline taxes (the first question) for those who answer yes and for those who answer no to the second question. Therefore, the response variable is the amount of tax the student is willing to add to a gallon of gasoline. This response variable is an indication of how much students are willing to pay to mitigate global warming. On the other hand, the explanatory variable is whether the student believes that global warming is a serious issue or not. This variable will help determine if students' perception of global warming has any effect on their willingness to pay for mitigative measures.
In conclusion, the response variable in the given scenario is the amount of tax, while the explanatory variable is students' perception of global warming.
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Reason A bread recipe requires that teaspoon of yoast be added to flour and water. Alejandro only has a teaspoon measuring spoon. How many measuring spoons of yeast will he need to add to the flour and water? Explain your reasoning.
5/8 teaspoon yeast is to be added
Problem Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes
Answer:
That their milkshakes need more caramel or less ice cream.
Step-by-step explanation:
We can see that Ari's numbers for a perfect milkshake gives us a caramel to ice cream ratio of 333 / 555 = 0,6.
But the Freeze Zone uses a caramel to ice cream ratio of 666 / 888 which is equal to 0,75.
Their milkshakes have less caramel and more ice cream than Ari's perfect milkshake so Ari will think that Freeze Zone's milkshakes are not sweet enough.
I hope this answer helps.
1.1x10^5 in standard notation
Answer:
110000
Step-by-step explanation:
first, expand 10^5, which is 100000
use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000
the first step in developing a competency model is:
The first step in developing a competency-model is to gather background information and analyze the existing standards within the workplace.
The first-step involves conducting a thorough examination of the organization's goals, strategies, and the specific job roles or positions for which the competency-model will be developed.
By gathering background information, organizations can understand the context in which the competency-model will be applied.
Analyzing existing standards within the workplace involves assessing the current performance expectations, competencies, and criteria used for evaluating employees in their respective roles.
The purpose of this step is to identify any gaps or areas for improvement in the existing standards and to ensure that the development of the competency model aligns with the organization's overall objectives.
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The first step in developing a competency model is conducting a job analysis.
developing a competency model is a systematic process that helps organizations define the key competencies needed for their employees. The first step in this process is conducting a job analysis.
A job analysis involves gathering information about the job, such as its purpose, tasks, responsibilities, and required qualifications. This information can be collected through methods like interviews, observations, and surveys. By analyzing the job, organizations can identify the critical competencies that are necessary for effective job performance.
These competencies can then be used to guide various HR processes, including recruitment, selection, training, and performance management. By aligning the competencies with job requirements, organizations can ensure that they have the right people with the right skills in the right positions.
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A neighborhood carnival has a Ferris wheel whose radius is 30 feet. You measure the time it takes for one revolution to be 60 seconds. a. What is the linear speed (in feet per second) of this Ferris wheel?
The linear speed of the Ferris wheel can be determined by calculating the circumference of the wheel and dividing it by the time it takes for one revolution. In this case, the linear speed of the Ferris wheel is 2π × 30 / 60 = π ft/s.
The linear speed of an object is the distance traveled per unit of time. For a circular motion, such as the Ferris wheel, the linear speed is related to the circumference of the circle.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the radius of the Ferris wheel is 30 feet, so its circumference is 2π × 30 = 60π feet.
The time it takes for one revolution of the Ferris wheel is given as 60 seconds.
To find the linear speed, we divide the circumference by the time taken for one revolution. Therefore, the linear speed is (60π feet) / (60 seconds) = π ft/s.
Thus, the linear speed of the Ferris wheel is π ft/s.
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Nancy received a birthday gift of $35. She decided to
use this money to start a savings account and then
deposited $5 into the account every week.
Which equation represents the relationship between
w, the number of weeks she has saved, and s, the
total amount saved?
s = 35W - 5
s= 5W - 35
S = 35W + 5
s = 5W + 35
Answer:
Everybody's laughing in my mind
Rumors spreading 'bout this other guy
Do you do what you did when you did with me
Does he love you the way I can
Did you forget all the plans that you made with me?
'Cause baby I didn't
That should be me, holding your hand
That should be me, making you laugh
That should be me, this is so sad
That should be me
That should be me
That should be me, feeling your kiss
That should be me, buying you gifts
This is so wrong
I can't go on
Till you believe
That should be me
That should be me
I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
If (x+w)(x+t)=x² +3x-4 for all x, then what is the value for (w+t)?
The value of (w + t) in the given equation, (x+w)(x+t) = x² + 3x - 4, (w + t) = 3.
Determining the value of an expression from an equationFrom the question, we are to determine the value of the given expression.
The expression we are to determine its value is
(w + t)
To do this, we will compare the terms of the given equation.
From the given equation
(x+w)(x+t) = x² + 3x - 4
First, we will expand the left hand side of the equation
Expanding the right hand side of the equation
(x + w)(x + t)
Apply the distributive property
x(x + t) + w(x + t)
x² + xt + xw + wt
Then,
Factor the middle expressions
x² + x(t + w) + wt
x² + x(w + t) + wt
Now, we will compare the resulting expression to the expression on the right hand side of the equation
x² + 3x - 4
By comparison,
w + t = 3
Hence, the value is 3
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Find the dimensions of a rectangle (in m) with perimeter 92 m whose area is as large as possible.
The dimension of a rectangle is 23m and 23m.
Here we have to find the area of a rectangle as large as possible.
Data given:
Perimeter = 92m
The formula for the perimeter of the rectangle:
perimeter = 2(length + breadth)
92 = 2( l + b)
l + b = 46
We have to find the largest area, so when we will take the length and breadth same then we get the largest area.
So length = breadth
2 length = 46
length = 23m
length = breadth = 23m
Therefore the dimensions are 23m and 23m.
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4. Point P is plotted on the number line. What number is represented by point P?
On the number line, the point P represents the number \(5.7\times10^{-3}\).
What is a number line?
A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.
There are a total of 11 points on the number line, and the distance between each point is the same.
We can use this fact to find the number represented by point P.
The distance between the 1st point and the 11th point is -
\(6\times10^{-3} - 5\times10^{-3} = 1\times10^{-3}\)
Since there are 11 points in total, the distance between each point is \((1\times10^{-3}) / 10 = 0.1\times10^{-3}\).
Therefore, the distance between the 1st point and the 8th point is 7 times the distance between each point -
distance = \(7 \times (0.1\times10{^-3}) = 0.7\times10^{-3}\)
To find the number represented by point P, we add this distance to the value of the 1st point -
\(P = 5\times10^{-3} + 0.7\times10{^-3}\)
\(P = 5.7\times10^{-3}\)
Therefore, the number represented by point P is \(5.7\times10^{-3}\).
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What contribution to geometry is attributed to the work of René Descartes?
René Descartes provided the first systematic link between Euclidean geometry and algebra.
What is Geometry?This branch of mathematics involves the study of object shape, their spatial relationship and that of their surrounding space.
René Descartes is referred to as the father of analytic geometry due to him establishing the relationship between Euclidean geometry and algebra.
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Kimberly ran her first race in 3.15 hours. She ran her second race in 2.90 hours. Rounding each time to
the nearest hour, about how many hours did it take Kimberly to run both races?
Answer:
It took her approximately 6.1 hours to run both races.
Step-by-step explanation:
3.15 plus 2.9 equals 6.05, rounded to the tenths place is 6.1.
Find the area.
These kinds of problems make no sense at all.
Answer:
The area should be 7.
Step-by-step explanation:
Hear me out;
The formula for a parallelogram is A=bh.
The height is 1, so substituting it into the A=bh formula gives you A=7*1, which is 7.
The book rack sold 24 paperbacks on Saturday, 17 of them mysteries. What percent of the books were mysteries?
Answer:
About 71% of the books were mystery books
Step-by-step explanation:
To find the percentage of something you simply divide the amounts. 17 of the 24 books were mystery so to find the percentage of mystery books you do 17 divided by 24
17/24= 0.70833333333
and round it to 71
What outcome is likely to occur for a hypothesis test evaluating a treatment that has a very large and robust effect?
For the given statement, we have to correctly rejecting the null hypothesis.
According to the statement
we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.
For this purpose, we know that the
A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
And according to the given statement it is clear that the by this we have to rejected this hypothesis.
because this treatment and the large effects are not possible for the independent values of the hypothesis.
In other words, we can say that the we have to correctly rejecting the null hypothesis.
So, For the given statement, we have to correctly rejecting the null hypothesis.
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Número de departamento vendidos en un edificio cualitativa o cuantitativa.
Answer:The nucleus / large central vacuole contains
genetic material of a eukaryotic cell.
Step-by-step explanation:The nucleus / large central vacuole contains
What is the quarterly growth rate for the function f(t) = 1000 (1.03) ? PLEASE HELP QUICK
Answer:
Step-by-step explanation:
So I'm assuming you meant to type f(t) = 1000(1.03)^t
and assuming t is in years, we let t = 0.25, therefore 1000(1.03)^0.25
= 1.00741707178, then subtracting 1000 (assuming that is the original money), we get approx = 0.007 of whatever currency
the electric-vehicle manufacturing company tesla estimates that a driver who commutes miles per day in a model s will require a nightly charge time of around hour and minutes ( minutes) to recharge the vehicle's battery (tesla company website). assume that the actual recharging time required is uniformly distributed between and minutes. a. give a mathematical expression for the probability density function of battery recharging time for this scenario. a. b. c. the correct answer is: - select your answer - b. what is the probability that the recharge time will be less than minutes (to 3 decimals)? c. what is the probability that the recharge time required is at least minutes (to 3 decimals)? d. what is the probability that the recharge time required is between and minutes (to 3 decimals)?
By using uniform distribution of probability, the results obtained are-
a) Probability density function of battery recharging time = \(\frac{1}{120 - 90}\) , 90 <x . <120
= \(\frac{1}{30}\) , 90 < x<120
b) The probability that the recharge time will be less than 110 minutes = 0.667
c) The probability that the recharge time required is at least 100 minutes = 0.667
d) The probability that the recharge time required is between 95 minutes and 110 minutes = 0.500
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Let X be the charging time of a battery
X is uniformly distributed
\(X \sim U(90, 120)\\\)
a) Probability density function of battery recharging time = \(\frac{1}{120 - 90}\) , 90 <x . <120
= \(\frac{1}{30}\) , 90 < x<120
b) P(X< 90) = \(\int\limits^{110}_{90} {\frac{1}{30}} \, dx = \frac{110 - 90}{30} = \frac{2}{3} = 0.667\)
The probability that the recharge time will be less than 110 minutes = 0.667
c) P (X \(\geq\) 100) = \(\int\limits^{120}_{100} {\frac{1}{30}} \, dx = \frac{120 - 100}{30} = \frac{2}{3} = 0.667\)
The probability that the recharge time required is at least 100 minutes = 0.667
d) P(95 \(\leq\) x \(\leq\) 110) = \(\int\limits^{110}_{95} {\frac{1}{30}} \, dx = \frac{110 - 95}{30}= \frac{15}{30} = \frac{1}{2}\) = 0.500
The probability that the recharge time required is between 95 minutes and 110 minutes = 0.500
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Complete Question
The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per day in a Model S will require a nightly charge time of around 1 hour and 45 minutes (105 minutes) to recharge the vehicle’s battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between 90 and 120 minutes.
a. Give a mathematical expression for the probability density function of battery recharging time for this scenario.
b. What is the probability that the recharge time will be less than 110 minutes?
c. What is the probability that the recharge time required is at least 100 minutes?
d. What is the probability that the recharge time required is between 95 and 110 minutes?
What is the tangent ratio of KJL? (Question and answers provided in picture.)
Answer:
Option (1)
Step-by-step explanation:
The given triangle JKL is an equilateral triangle.
Therefore, all three sides of this triangle will be equal in measure.
Side JK = JL = KL = 48 units
Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.
By applying tangent rule in ΔJML,
tan(∠KJL) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
= \(\frac{\text{LM}}{\text{JM}}\)
= \(\frac{\text{LM}}{24}\)
Since, Sin(K) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
Sin(60)° = \(\frac{\text{LM}}{48}\)
\(\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}\)
LM = 24√3
Now, tan(∠KJL) = \(\frac{\text{LM}}{24}\)
= \(\frac{24\sqrt{3} }{24}\)
Therefore, Option (1) will be the answer.
x^2+y^2-2x+6y=-3.What are the coordinates of the center and the length of the radius of the circle?
Given:
\(x^2+y^2-2x+6y=-3\)is given as the equation of circle.
Required:
The coordinates of the center and the length of the radius of the circle.
Explanation:
The general equation of circle is
\(x^2+y^2+2gx+2fy+c=o\)where
\(\begin{gathered} center=(-g,-f) \\ and \\ radius=\sqrt[]{g^2+f^2-c} \end{gathered}\)now by comparing the general and given equation we get
\(\begin{gathered} g=-1 \\ f=3 \\ c=3 \end{gathered}\)now substitute in the formulas
\(center=(-g,-f)=(1,-3)\)\(radius=\sqrt[]{g^2+f^2-c}=\sqrt[]{7}=2.65\)Final answer:
\(\begin{gathered} center=(1,-3) \\ and \\ radius=2.65 \end{gathered}\)