How many possible of size n=3 can be drawn in succession with replacement
from the population of size 2 with replacement?
There are 8 possible samples of size 3 that can be drawn in succession with replacement from a population of size 2.
The population size is 2, and we want to draw a sample of size 3 with replacement. With replacement means that after each draw, the item is placed back into the population, so it can be drawn again in the next draw.
To calculate the number of possible samples, we need to consider the number of choices for each draw. Since we are drawing with replacement, we have 2 choices for each draw, which are the items in the population.
To find the total number of possible samples, we need to multiply the number of choices for each draw by itself for the number of draws. In this case, we have 2 choices for each of the 3 draws, so we calculate it as follows:
2 choices x 2 choices x 2 choices = 8 possible samples
Therefore, there are 8 possible samples of size 3 that can be drawn in succession with replacement from a population of size 2.
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A boat can travel 2 000 km in one-half day. How many kilometers can it travel in 30 h?
PLS I NEED HELP
The distance (in Km) the boat can travel in 30 h is 5000 km
Determination of the speed of the boat
From the question given above, the following data were obtained:
Distance = 2000 kmTime = one-half day = ½ × 24 = 12 hSpeed =?Speed = distance / time
Speed = 2000 / 12
Speed = 166.67 km/h
How to determine the distance travelled in 30 hSpeed = 166.67 km/hTime = 30 hDistance =?Speed = distance / time
166.67 = distance / 30
Cross multiply
Distance = 166.67 × 30
Distance ≈ 5000 km
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The number of students infected with the flu on a college campus after t days is modeled by the function P(t)=(480)/(1+39e^(-0.3t)). When will the number of infected students be 240 ?
Let \(P(t) = 240.480 / (1 + 39e^(-0.3t))\) = \(2401 + 39e^(-0.3t)\) = \(248e^(-0.3t)\)= 8.Taking the natural logarithm of both sides, we obtain:\(ln e^(-0.3t) = ln (8)\),\(t = (-1/0.3) ln(8)\).We get:t = 7.9 to one decimal point.
Here we are required to find the time at which the number of infected students will be 240. We are given a function which models the number of students infected with the flu on a college campus after t days. The function is given by
\(P(t) = 480 / (1 + 39e^(-0.3t)).\).
To determine the time at which P(t) = 240, we substitute this value of P(t) into the function. That is:
\(240 = 480 / (1 + 39e^(-0.3t))\)
Multiplying both sides of the equation by \((1 + 39e^(-0.3t))\), we get:
\(240(1 + 39e^(-0.3t)) = 480\)
Distributing the left-hand side, we obtain:
\(240 + 936e^(-0.3t) = 480\)
Subtracting 240 from both sides, we get:
\(936e^(-0.3t) = 240\)
Simplifying this expression by dividing both sides by 936, we obtain:
\(e^(-0.3t) = 0.2564\)
Taking the natural logarithm of both sides, we obtain:
\(ln e^(-0.3t) = ln (0.2564)\)
\(ln e^(-0.3t) = -0.3t\\\\ln (0.2564) = -0.3t\)
Dividing both sides by -0.3, we obtain:
\(t = (-1/0.3) ln (0.2564)\)
Simplifying this expression, we obtain:
t ≈ 8 days
Therefore, the number of infected students will be 240 after approximately 8 days.the number of infected students on a college campus after t days is given by \(P(t) = 480 / (1 + 39e^(-0.3t)).\) To determine the time at which the number of infected students will be 240, we substitute this value into the function and solve for t. We obtain t ≈ 8 days.
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What is true about segment R S and T U, if Point T has coordinates four, negative five. and U has coordinates (9, 2)?
Answer:
d
Step-by-step explanation:
10. Communicate and Justify Jane interpreted
the mean of the given data set, 8.48, as
meaning half the cats weighed less than
8.48 pounds and half weighed more. What
was Jane's error? Explain.
Jane's error was that she assumed that the mean of the data set would represent a midpoint, where half of the cats weighed more and half weighed less.
What informs the assertion?This is not necessarily the case, as the mean is only an average of the data set and does not necessarily represent any particular point within the data set. For example, if the data set was composed of 8 cats that all weighed 8.48 pounds, then the mean would be 8.48, but none of the cats would weigh less than 8.48 pounds.
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What is the IQR of this boxplot?
Answer:
The IQR is 16---------------------
According to the box plot we have:
Q1 = 39 (the 25th percentile)Q3 = 55 (the 75th percentile)The IQR is the difference of Q3 and Q1:
IQR = Q3 - Q1IQR = 55 - 39 = 16If a set of data has a mean of 22 and a standard deviation of 6.5, what would be the amount that is one standard deviation lower than the mean?
Your answer
Answer:
Could u help me with my question
Step-by-step explanation:
A set of points is shown on the graph.
Scatter plot with a point at negative 5 comma negative 1, a point at negative 2 comma 4, a point at 1 comma 9, a point at 3 comma 5, and a point at 4 comma 7.
Which of the following equations is the best model for a line of fit for the data?
y equals 1 fourth times x plus 5.
y equals negative 1 fourth times x plus 5.
y equals 3 fourths times x plus.
y equals negative 3 fourths times x plus 5.
y = 3/4x + 5 equations best fits the data as a line of fit.
Given that,
With a point at - 5 comma negative 1, a point at - 2 comma negative 4, a point at 1 comma 9, a point at 3 comma 5, and a point at 4 comma negative 7, a scatter plot is created.
We have to find which of the following equations best fits the data as a line of fit.
We know,
A scatter plot is a particular kind of graph that is used to visually display the values of two variables, with the resulting points indicating any associations (correlations) between the data set.
We can rationally conclude that an equation for the line of best fit (trend line) is given by y = 0.80x + 4.63 by carefully examining the graph that represents the provided data.
We can conclude that y = 3/4x + 5 is the equation that best fits the data as a line of fit.
Therefore, y = 3/4x + 5 equations best fits the data as a line of fit.
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Applied Statistics Term Paper
Requirements:
An original research/case study report, any topics related to statistics.
10 pages
What is expected:
Design a research with clear and meaningful purpose.
Define the data you want to study in order to solve a problem or meet an objective.
Collect the data from appropriate sources.
Organize the data collected by developing tables.
Visualize the data by developing charts.
Analyze the data collected to reach conclusions and present results.
In order to meet the requirements for an applied statistics term paper, it is essential to design a research study, collect and organize relevant data, and analyze the data to reach meaningful conclusions and present the results.
To successfully complete an applied statistics term paper, it is crucial to follow a structured approach. The first step involves designing a research study with a clear and meaningful purpose. This purpose could be to solve a specific problem or meet a particular objective. By clearly defining the purpose of the research, you can ensure that your study has a focused direction.
The next step is to determine the data that needs to be studied in order to achieve the research objective. This includes identifying appropriate sources from which to collect the data. Depending on the topic, the data can be obtained from surveys, experiments, observational studies, or existing datasets. It is important to ensure that the data collected is relevant and sufficient to address the research question.
Once the data is collected, it needs to be organized effectively. This involves developing tables to arrange the data in a structured manner. Tables provide a concise representation of the data, allowing for easy reference and analysis.
In addition to tables, visualizing the data using charts can greatly enhance understanding and interpretation. Charts such as bar graphs, line graphs, and pie charts can help identify patterns, trends, and relationships within the data. Visualizations make it easier for the reader to grasp the main findings of the study.
The final step is to analyze the collected data to draw meaningful conclusions. This may involve applying appropriate statistical techniques and methods to uncover insights and relationships within the data. By conducting a rigorous analysis, you can derive reliable conclusions that address the research objective.
Ultimately, the results of the analysis should be presented clearly and concisely in the term paper. The conclusions should be supported by the data and any statistical analyses performed. It is important to effectively communicate the findings to the reader in a logical and coherent manner.
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Which relation is a function?
Answer:
only the v-shaped graph is a function
Step-by-step explanation:
the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point
Please help.
Algebra.
1. A
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.
--------------------------------------------------------------------------------------------------------------
2. C
That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution because it's the point that satisfies each equation in the system.
Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.
Drag each tile to the correct box. Not all tiles will be used. Arrange the functions for which the result is a non-infinite value and the limit exists in ascending order of their limit values as x tends to infinity.
512 - 4 1(3)= 12 + 1 1-1 1 111)=11 - 451 12 – 1,000 f(1) = 1-5 412 - 6 M(I)=- 1- 4:2 41 - 11 911)= 1-4 13-12 + 4 h(x)= 1-33 51 + 1,000 k(I)= 12-1 (0)=178 - 11
If the ratio increases the power of x, there is no upper limit. If the ratio reduces the power of x to zero, the limit is zero.
What is a ratio?An ordered pair of numbers namely a b that is stated as a / b, with b not equal to zero, is referred to as a ratio. A ratio is a result of equating two ratios. In this case, the ratio would be 1:3 (one boy to three girls), meaning that 3/4 of the population is female and only 1/4 is male. A part is a number, a proportion of size, or a difference between two or more things.
As x gets bigger, the upper bound is the ratio of something like the highest-degree words.
the ratio increases the power of x, there is no upper limit. If the ratio reduces the power of x to zero, the limit is zero.
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olivia and yixing are volunteering at a cat rescue shelter. the shelter supervisor asks them to clean out kennels and haul bags of cat food from the donation area into storage. it takes olivia 6 minutes to clean out a kennel and 6 minutes to move a bag of food. it takes yixing 10 minutes to clean out a kennel and 12 minutes to move a bag of food. for the following questions, round each answer to the nearest tenth. a. has an absolute advantage in completing both tasks.
The correct option is A which is Yixing should clean out the kennels, and Olivia should move the food bags.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
All the parts will be solved below:-
a. Olivia has an absolute advantage as she takes less time for completing both the tasks
b. Olivia's opportunity cost of cleaning a kennel is
= 6 ÷ 6
= 1 bag of food moved.
c. Olivia's opportunity cost of moving one bag of food is
= 6 ÷ 6
= 1 kennel cleaned
d. Yixing's opportunity cost of cleaning a kennel is
= 10 ÷ 12
= 0.83 bags of food moved.
e. Yixing's opportunity cost of moving one bag of food is
= 12 ÷ 10
= 1.2 kennels cleaned
f. From the above calculations, we can see that the opportunity cost of kennel cleaning would be less sin Yixing so here Yixing should have a comparative advantage and Olivia should have moved the food bags
The complete question is given below:-
Olivia and Yixing are volunteering at a cat rescue shelter. The shelter supervisor asks them to clean out kennels and haul bags of cat food from the donation area into storage. It takes Olivia 6 minutes to clean out a kennel and 6 minutes to move a bag of food. It takes Yixing 10 minutes to clean out a kennel and 12 minutes to move a bag of food.
A. ____has an absolute advantage in completing both tasks.
B. Olivia's opportunity cost of cleaning a kennel:___bags of food moved.
C. Olivia's opportunity cost of moving one bag of food:_____kennels cleaned.
D. Yixing's opportunity cost of cleaning a kennel:____bags of food moved.
E. Yixing's opportunity cost of moving one bag of food:____kennels cleaned.
F. Yixing says it does not matter which task each of them performs because Olivia is faster at both tasks. Is she correct?
A) No, Yixing should clean out the kennels, and Olivia should move the food bags.
B) No, Olivia should clean out the kennels, and Yixing should move the food bags.
C) Yes, Olivia should do both tasks because she is faster at both.
D) No, Yixing should do both tasks so that she can practice and become more efficient.
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i am here to help with any math problem just ask
Answer:
what ab this one?
Step-by-step explanation:
Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2.
Can you help me with this one?
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350.Use this information to complete the statements.Over the first 3 years, the value of the account increased at BLANK over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $BLANK annually.Line 1:a) a faster rate per year thanb) the same rate per year asc) a slower rate than Line 2:a) 650b) 700c) 720d) 670
(I have to leave for school in 15 minutes please)
Select the correct answer.
You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
OA
0
OB. 1
OC. 2.
OD 3
Reset
Next
© 2021 Edmentum. All rights reserved.
o
.
Answer:
1
Step-by-step explanation:
An equilateral triangle is a triangle with all three sides of equal length, so there's only one option, a triangle with all three sides 7 centimeters.
Solve for x.
5x−2(x+1)=14
x =
Answer:
x=16/3
Step-by-step explanation:
5x−2(x+1)=14
Distribute
5x -2x -2 =14
Combine like terms
3x -2 =14
Add 2 to each side
3x-2+2 =14+2
3x=16
Divide each side by 3
3x/3 = 16/3
x=16/3
Answer:
x = 16/3
Step-by-step explanation:
5x - 2(x + 1) = 14
~Simplify
5x - 2x - 2 = 14
~Combine like terms
3x - 2 = 14
~Add 2 to both sides
3x = 16
~Divide 3 to both sides
x = 16/3
Best of Luck!
given a normal distribution with mean of 4 and standard deviation of 1, what is the probability a data point is less than 5?
The probability for a data point is less than is 0.8413.
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.
The mean(μ)=4
Standard deviation(σ)=1
(P<5)
From the figure, standard normal distribution curve probability which we have to find P<5
It is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
P(x=4)=x-μ/σ
=4-4/1=0
P(x=4)=50%
P(x<5)=P(x=4)+P(x=1)
=50%+34.13%
=0.8413
P(x<5)=0.8413
Therefore, the probability a data point is less than 5 is 0.8413.
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You are about to take a major assessment, and each question is one two types. Multiple-choice questions are worth 2 points each, and short-response questions are worth 4 points each. The assessment is worth 100 total points. Let x represent the number of multiple-choice questions, and let y represent the number of short-response questions.
2X + 4Y = 100 is the equation.
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Let's assume that X is the quantity of multiple-choice questions and Y is the quantity of short-answer questions.
Given that the short-answer questions are worth four points and the multiple-choice questions are for two, the equation is 2X + 4Y = 100.
Thus the equation for 2 points each, and short-response questions are worth 4 points each. The assessment is worth 100 total points where x represent the number of multiple-choice questions, and let y represent the number of short-response questions.
2X + 4Y = 100.
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how do I solve this?
Answer: I cant see the problem
Step-by-step explanation:
Answer:
Where is the question?
Step-by-step explanation:
-2x(x+3)-(x+1)(x-2) please help me solve this
Answer:
u have to multiply these.
it's too easy .
see I will tell you the answer.
-2x²-6x-(x²-2x+x-2)
Now the signs of the underlined terms will change because negative sign is outside it.
-2x²-6x-x²+ 2x-x + 2
Now we have to solve it simply
-2x²-x²-6x+ 2x-x + 2
-3x²-5x+2
so here is ur answer.
for Indians it is soo simple question bro
I am Indian
if u need any help plz let me know.
6 added to the product of N and 12
Answer:
6+12N
Step-by-step explanation:
Answer:
6+12N
Step-by-step explanation:
6 added (+) to the product (multiply) of N and 12
I hope this helps :)
What is the length of the shortest side?
A flower bed is in the shape of a triangle with one side' twice the length of the shortest side and the third side is 27 feet
more than the length of the shortest side. Find the dimensions if the perimeter is 183 feet.
If the perimeter is 183 feet then the dimensions are 39ft, 78ft, 66ft
What is a perimeter?
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.
The perimeter of a triangle
P = a + b + c.
Here,
We let the length of the shortest side of the triangular flower bed be
x feet.
Then the length of the second side is 2x and
the length of the third side is x+27
The given perimeter is 183ft so,
By applying the perimeter of the triangle formula, we get
x + 2x + x +27 = 187
4x + 27 = 187
4x = 183 - 27
x = 39
the length of the second side is 2*39 = 78ft and
the length of the third side is x+27 = 66ft
Hence, if the perimeter is 183 feet then the dimensions are 39ft, 78ft, and 66ft.
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If x-y =5 & xy = 15, then x²+y²=?
Answer:
The value is,
\(x^2 + y^2 = 55\)
55
Step-by-step explanation:
Now, we know that,
xy = 15, x-y = 5
using,
x - y = 5
squaring both sides and simplifying, we get,
\(x-y=5\\(x-y)^2=5^2\\(x-y)^2=25\\x^2+y^2-2(xy)=25\\but\ we \ know\ that,\ xy = 15\\so,\\x^2+y^2-2(15)=25\\x^2+y^2-30=25\\x^2+y^2=25+30\\x^2+y^2=55\)
Hence x^2 + y^2 = 55
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2011, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 1141.
Years since 2011 (x) New Cases (y)
0 814
1 825
2 854
3 869
4 947
A linear regression equation that represents this set of data is y = 31x + 799.8.
The calendar year in which the number of new cases would reach 1141 is 2022.
How to write the linear regression equation?In this scenario, the Year since 2011 (x) would be plotted on the x-axis of the scatterplot while the New cases (y) would be plotted on the x-axis of the scatterplot.
On the Excel sheet, you should right click on any data point on the scatterplot, select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.
By critically observing the scatterplot (see attachment) which models the relationship given in the table for the Year since 2011 (x) and the New cases (y), an equation for the linear regression is given by:
y = 31x + 799.8
Now, we can estimate the calendar year in which the number of new cases would reach 1141:
1141 = 31x + 799.8
31x = 1141 - 799.8
31x = 341.2
x = 341.2/31
x = 11.0
Calendar year = 2011 + 11
Calendar year = 2022.
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Given the unit circle what is the value of x
Given:
\((x,\frac{3}{4})\text{ and (1,0) points lies on the circle.}\)Equation of circle is
\(x^2+y^2=r^2\)\(\begin{gathered} x^2+(\frac{3}{4})^2=1^2 \\ x^2+\frac{9}{16}=1 \\ x^2=1-\frac{9}{16} \\ x^2=\frac{16-9}{16} \\ x^2=\frac{7}{16} \\ x=-\frac{\sqrt[]{7}}{4} \end{gathered}\)Suppose you have 15 months in which to save $1800 for a vacation cruise. If you can earn an APR of 3. 7%, compounded monthly, how much should you deposit each month. (Hint: use monthly payment formula) 4. Calculate the monthly payments for a shack mortgage of $127,000 with a fixed APR of 9. 1% for 30 years
For the first problem, using the monthly payment formula monthly deposit needed is $118.69. For the second problem, using the same formula the monthly payment is $1029.73.
We have the following variables
P = Monthly payment
r = Annual interest rate = 3.7% = 0.037/12 per month
n = Number of payments = 15 months
A = Amount to be saved = $1800
Using the monthly payment formula
P = (r * A) / (1 - (1 + r)⁻ⁿ)
Substituting the given values
P = (0.003083 * 1800) / (1 - (1 + 0.003083)⁻¹⁵)
P ≈ $118.69
Therefore, you should deposit approximately $118.69 each month to save $1800 in 15 months, assuming an APR of 3.7%, compounded monthly.
We have the following variables
P = Monthly payment
r = Annual interest rate = 9.1% = 0.091/12 per month
n = Number of payments = 30 years * 12 months = 360 months
A = Mortgage amount = $127,000
Using the monthly payment formula
P = (r * A) / (1 - (1 + r)⁻ⁿ)
Substituting the given values
P = (0.007583 * 127000) / (1 - (1 + 0.007583)⁻³⁶⁰)
P ≈ $1029.73
Therefore, the monthly payment for a shack mortgage of $127,000 with a fixed APR of 9.1% for 30 years would be approximately $1029.73.
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A right triangle has one angle that measures 13°. What is the measure of the other acute
angle?
Answer:
25
Step-by-step explanation:
its needs to be under 90
Answer:
Explanation:
A triangle's three interior angles will add up to
180
∘
. Since it's a right angle, that means one angle is
90
∘
and the other is given as
15
∘
.
Therefore,
90
+
x
+
15
=
180
So
x
=
180
−
90
−
15
x
=
75
The acute angle is
75
∘
.
Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements.
6a = 42 for a = 8
First, Amelia must substitute 8 for the
using
.
To simplify, Amelia must
.
8
a solution of the equation.
Answer:
First, Amelia must substitute 8 for the
✔ variable
using
✔ parentheses
.
To simplify, Amelia must
✔ multiply 6 by 8
.
8
✔ is not
a solution of the equation.
Step-by-step explanation:
It's correct I did it on edge 2022
Answer:
variable
parentheses
multiply 6 by 8
is not
Step-by-step explanation:
the person above me ∧ is correct! :D
A house shaped like an octagon has a large porch, as shown. what is the area of the house and porch?
Answer:
875 \(ft^{2}\)
Step-by-step explanation:
There are more than 1 way to look at this. I look at the big rectangle starting from the bottom on the graph up until the very last blue section that would not be part of the rectangle.
25 x 30 = 750
Then I looked at the very top blue part and broke that into 2 triangles and I rectangle.
The rectangle would be
20 x 5 = 100
The two triangles together would be
5 x5 = 25
750 + 100 + 25 = 875
The area of a triangle is 36 sq cm. The triangle's height is 8 cm. What is the length of the base of the triangle?
Answer:
9 cm
Step-by-step explanation:
Given :
Area, A = 36cm²
Height, h = 8cm
Using the relation :
Area, A of triangle :
A = 1/2 * base * height
36 = 0.5 * base * 8
36 = 4 * base
base = 36 / 4
Base = 9 cm
Length of base is 9cm