When sampling with replacement is used, an element that has already been chosen is put back into the sample frame and given the chance to be chosen again.
In the case of sampling without replacement, an element is eliminated from the sample frame after it has been chosen.
In this question, we are supposed to state the differences between sampling with replacement and sampling without replacement.
Generally speaking, sampling without replacement is more effective than producing representative samples using replacement sampling. It prevents the inclusion of the same population element in the sample several times.
By "drawing from a hat" or by using a computer program that simulates the same process, you select the sample at random using the lottery method.
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Someone help pls, its urgent! ASAP!!! (Geometry)
“Complete the proofs”
Question 11
1) [tex]\overline{BA} \cong \overline{FA}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)
2) [tex]\angle A \cong \angle A[/tex] (reflexive property)
3) [tex]\triangle AEB \cong \triangle ACF[/tex] (ASA)
4) [tex]\overline{AC} \cong \overline{AE}[/tex] (CPCTC)
Question 12
1) Isosceles [tex]\triangle ACD[/tex] with [tex]\overline{AC} \cong \overline{AD}[/tex], [tex]\overline{BC} \cong \overline{ED}[/tex] (given)
2) [tex]\angle ACD \cong \angle ADC[/tex] (angles opposite congruent sides in a triangle are congruent)
3) [tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] are supplementary. [tex]\angle ADC[/tex] and [tex]\angle ADE[/tex] are supplementary (angles that form a linear pair are supplementary)
4) [tex]\angle ACB \cong \angle ADE[/tex] (supplements of congruent angles are congruent)
5) [tex]\triangle ABC \cong \triangle AED[/tex] (SAS)
6) [tex]\overline{AB} \cong \overline{AE}[/tex] (CPCTC)
7) [tex]\triangle ABE[/tex] is an isosceles triangle (a triangle with two congruent sides is isosceles)
Note: I changed the names of the segments in Question 11 because of the word filter.
The side lengths of a triangle are 9, 12, and 15. Is this a right triang
O A. Yes, because 9² + 12² > 15².
O B. No, because 9 + 12 ‡ 15.
OC. Yes, because 9² + 12² = 15².
OD. No, because 9² + 12² # 15².
The dot plots below show the scores for a group of students who took two rounds of a quiz:
Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 5 to 9 on the line at intervals of one. There are 2 dots above the mark 5, 3 dots above the mark 6, 4 dots above the mark 7, and 1 dot above the mark 8. For the bottom dot plot there are 6 dots above the mark 6, 2 dots above the mark 8, and 2 dots above the mark 9.
Which of the following inferences can be made using the dot plot?
A. The range of each round is the same.
B. There is no overlap between the data.
C. Round 1 scores were higher than round 2 scores.
D. Round 2 scores were lower than round 1 scores.
The inference that can be made from the dot plot is the range of each round is the same.
What is the inference that can be made?A dot plot is a graph that shows the frequency of a number using dots. The greater the number of dots above a number, the greater its frequency.
Range is the difference between the largest number and smallest number.
Range of round 1 = 8 - 5 = 3
Range of round 2 = 9 - 6 = 3
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Which of the following matches the graph of f (x) = 2(x + 1)2(x – 1)(x – 2)?
The graph that matches the function f(x) = 2(x – 1)2(x + 1)(x + 2) is shown in the attached file
How to draw the graph of a Polynomial?A function assigns the value of each element of one set to the other specific element of another set.
We want to draw the graph of the function f(x) = 2(x – 1)2(x + 1)(x + 2). Using relevant coordinates input into the function and the generated output, the graph of the given function is as attached below.
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A fishing trawler sails 30 km from port on a bearing of 120° until it reaches a submerged reef.
How far (to the nearest km) is the port north of the reef?
From rectangular component, the distance of the port north of the reef is 25.9808 km.
What is the distance of the given point by rectangular component analysis ?It is given that a fishing trawler sails 30 km from port on a bearing of 120° until it reaches a submerged reef.
Thus the direction of the fishing trawler is given to be 120° with respect to the movement of the trawler.
Resolving the direction by the horizontal and vertical components, we get
The horizontal component of distance is |30*cos(120°)| = 15 km
The vertical component of distance is |30*sin(120°)| = 25.9808 km
Thus as we have to find the north direction or the vertical component, the distance is 25.9808 km.
Therefore, from rectangular component, the distance of the port north of the reef is 25.9808 km.
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Simplify: 2n (n^2 + 3n + 4)
Answer:
2n^3 + 6n^2 + 8n
Answer: It's 2n^3 + 6n^2 + 8n
Step-by-step explanation:
please help me 20 points
Add up the number of students within the random sample data:
32+26+28+22 = 108
We can then use proportional fractions / cross-multiply to answer the question.
In a sample size of 108 students, 32 of them preferred Movie A.
There are 900 students in total.
[tex]\frac{32}{108} =\frac{x}{900}[/tex]
32*900 = 28800
108*x = 108x
108x = 28800
x = [tex]266\frac{2}{3}[/tex] or [tex]\frac{800}{3}[/tex]
In decimal form that is approximately 266.667 and round that to the nearest whole number, you get 267 students who would prefer Movie A.
4x – 9y = 7
–2x + 3y = 4
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?
What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?
It's 2 (to get - 4x & 4x + - 4x = 0)
What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?
It's 3 (to get 9y & - 9y + + 9y =0)
Hope this helps!
For the graph y = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences.
The slope of the parallel line is 0 and the slope of the perpendicular line is undefined
How to determine the slope?The equation is given as:
y = 1
A linear equation is represented as:
y = mx + c
Where:
m represents the slope
By comparison, we have:
m = 0
The slope of the parallel line is:
Slope = m
This gives
Slope = 0
The slope of the perpendicular line is:
Slope =-1/m
This gives
Slope = -1/0
Slope = undefined
Hence, the slope of the parallel line is 0 and the slope of the perpendicular line is undefined
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When given an inverse variation, how do you find k?
If you gain 7 dollars every 65 second how long will it take to get 50000 dollars
Answer:
5 days
(the exact number of days below)
Step-by-step explanation:
65/7=9.28571429
9.28571429 sec = 1 dollar
464285.715 seconds=50000 dollars
464285.715 seconds=5.373677256944 days
The graph below shows two polynomial functions, f(x) and g(x): Graph of f of x equals x squared minus 2 x plus 1. Graph of g of x equals x cubed plus 1 Which of the following statements is true about the graph above? (4 points) f(x) is an even degree polynomial with a negative leading coefficient. g(x) is an even degree polynomial with a negative leading coefficient. f(x) is an odd degree polynomial with a positive leading coefficient. g(x) is an odd degree polynomial with a positive leading coefficient.
Last option. The correct statement about the graph is g(x) is an odd degree polynomial with a positive leading coefficient.
How to solve the questionWe have the function as
[tex]f(x) = x^2 - 2x + 1[/tex]
The polynomial that we have here is of an even degree. The highest degree we have here is 2. The coefficient that has the highest degree is 1.
Hence all of the options that have f(x) are incorrect.
The answer to the question is option 4.
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Labor productivity is normally measured by Part 2 A. the educational level of workers. B. the change in the amount of leisure. C. dividing total real domestic output by the number of workers or by the number of labor hours. D. the percentage change in GDP.
Labor productivity is normally measured by (c) dividing total real domestic output by the number of workers or by the number of labor hours.
What is Labour productivity?The total volume of production (measured in terms of Gross Domestic Product, GDP) produced per unit of labor (measured in terms of the number of employed workers or hours worked) during the course of a specific time reference period is what is referred to as labor productivity.Divide the total output by the total labor hours to find the labor productivity of a nation.What is labour productivity in India?
A measurement of labor output is labor productivity. Hourly productivity metrics are used. The actual Gross Domestic Product (GDP) produced by labor in an hour is what is referred to as labor productivity in macroeconomics. An important component of a business's overall growth is labor productivity.Learn more about labour productivity
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In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 50 and a standard deviation of 3. using the empirical rule, what is the approximate percentage of daily phone calls numbering between 47 and 53?
68% of the daily phone calls answered by the company are between 47 and 53.
What is empirical rule?Empirical rule states that for a normal distribution, 68% of the data are within one standard deviation from the mean, 95% of the data are within two standard deviation from the mean and 99.7% of the data are within three standard deviation from the mean.
Given mean of 50 and a standard deviation of 3
68% are within one standard deviation from mean = mean ± standard deviation = 50 ± 3 = (47, 53)
68% of the daily phone calls answered by the company are between 47 and 53.
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The ________ could be used to describe a data set by itself, while ___________ would almost never be used to describe a data set by itself.
The mean could be used to describe a data set by itself, while interquartile range would almost never be used to describe a data set by itself.
Brief Description of Mean and Interquartile Range
While interquartile range only assesses the middle half of the data, mean and range deal with the entire set of data. The mean is significant in statistics because it helps us determine where a dataset's "center" is. The mean contains information from each observation in a dataset as a result of how it is calculated.
The interquartile range in descriptive statistics reveals the spread of your distribution's middle half. Any distribution that is sorted from low to high is divided into four equal portions using quartiles. The second and third quartiles, or the center half of your data set, are contained in the interquartile range (IQR).
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Which of these statements is true for f(x)=(1/10)^x
A. the range of f(x) is y>1/10
B. it is always increasing
C. the graph contains (1, 1/10)
D. the domain of f(x) is x>0
Answer: C. the graph contains (1, 1/10)
Step-by-step explanation:
When x=1, [tex]y=(1/10)^1=1/10[/tex].
Describe a relationship that can be modeled by the function shown in the table, and explain how the function models the relationship.
x ------ f(x)
1 ------ 4
4 ------ 8
9 ------ 12
16 ------ 16
25 ------ 20
B: Identify and interpret the key features of the function in the context of the situation you described in part A
The relationship that can be modeled by the function shown in the table is y = 4·√x
How to illustrate the information?f(x) is defined as a product of 4 into √x
4 × √1 = 4
4 × √4 = 8
4 × √9 = 12
4 × √16 = 16
4 × √25= 20
Therefore, the relationship is defined as y is 4 times the square root of x that is, y = f(x) = 4√x
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Let u - 4x? - 1. Find du. (4-1) du - Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u. (Enter your answer using interval notation.) [0, 1] - Evaluate the definite integral. 01 Need Help? Read to a Tutor Consider the following. Let u = x + 1. Find du. du- Indicate how the limits of integration should be adjusted in order to perform the integration with respect to L. (Enter your answer using interval notation, [0, 2] - Evaluate the definite integral.
The value of du becomes 4 by integration.
According to the statement
we have given a two statement which are u - 4x and u = x + 1.
And we have to find the value of du by the use of integration.
An Integral assigns numbers to functions in a way that describes the data.
So,
From u - 4x
here du becomes by derivative
du - 4dx/du
du = 4dx/du. -(1)
And in u = x + 1.
here du becomes
du = dx/du -(2)
by comparing both terms from equation (1) and (2) we get the value of du
du = 4.
the value of du is 4.
So, The value of du becomes 4 by integration.
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Find the exact value of sin 5pi/4
The exact value of sin 5π/4 is 0. 0677
How to find the value
It is important to note that π = 3. 142
Let's find sin 5π
Substitute the value
sin 5π = sin (5 × 3. 142) = sin 15. 71
= [tex]\frac{sin 15. 71}{4}[/tex]
Find the sine of the number
= [tex]\frac{0. 27076}{4}[/tex]
= [tex]0. 0677[/tex]
Thus, the exact value of sin 5π/4 is 0. 0677
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Answer:
- sqrt2/2
Step-by-step explanation:
Examine the inequality and its graph. Which values are part of the solution set? Check all that apply. x = 3 x = –5 x = negative one-half x = –4.5 x = –4
The value "x = 3" and "x = -1/2" are part of the solution set.
What can be represented on linear inequality?We can represent any linear inequality using any of the following forms:
x > bx < bx ≥ bx ≤ bNow, if the sign is pointing towards x, it means that x is greater than b., so, the line under the greater sign means that x can also equal b.
The options given are:
3: is greater than -4-5: is not greater than -4-1/2: is greater than -4-4.5: is not greater than -4-4: is not greater than -4.Hence, the value "x = 3" and "x = -1/2" are part of the solution set.
Therefore, the Option A and C is correct.
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50 POINTSS MORE !!!!!
6. The number of hours it takes for ice to melt varies inversely with the air temperature. A block of ice melts in 2.5 hours when the temperature is 54 degrees. How long would it take for the same block of ice to melt if the temperature was 45 degrees?
7. Ride Service. It costs $35 for a ride from the city center to the airport, 14 miles away.
a. Write the equation that relates the cost, c, with the number of miles, m.
b. What would it cost to travel 22 miles with this service?
The time it will take for the block of ice to melt if the temperature is 45 degrees is 3 hours.
The cost to travel 22 miles is 55 dollars.
How to find how long for the ice to melt?let
time it takes for ice to melt = x
air temperature = y
Therefore,
x ∝ 1 / y
x = k / y
when x = 2.5 hours and y = 54 degrees
Hence,
k = 2.5 × 54
k = 135
The time it will take for the block to melt at 45 degrees = 135 / 45 = 3 hours
How to find equation that relates the cost to the number of miles?It costs $35 for a ride from the city centre to the airport, 14 miles away.
where
c = cost
m = number of miles
Therefore, the equation is as follows:
35 / 14 = 2.5
c = 2.5m
Hence, when you travel 22 miles,
c = 22(2.5)
c = 55 dollars
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Which of the following statements accurately describes the demographics of Arab and Muslim Americans
One accurate statement amount Arab Americans is that b. Arab Americans include both Muslims and Christians.
What is a fact about Arab Muslims?Arab Muslims are known to include both Muslims and Christians and indeed it is estimated that more Arab Americans are Christians as opposed to Muslims.
They are also quite urbanized and have very high rates of education which has given then access to more income.
Options for this question include:
a. Arab Americans are not urbanized.
b. Arab Americans include both Muslims and Christians.
c. Arab Americans rank relatively low in terms of income and occupation
d. Arab Americans tend to have low levels of education and skills.
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The sides of a triangle are 3 1 2 cm , 4 2 5 cm and 5 1 4 cm respectively. what is its perimeter?
Answer:
1251 cm
Step-by-step explanation:
Perimeter is just adding the side lengths together.
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!
See
The point D is
3 units left from origin
x coordinate=-31 units up from origin
y coordinate=1The point is
(-3,1)Direct variation
Multiply k=2
k(-3,1)2(-3,1)(-6,2)Option A
Solve for the unknown measure of this equation in degrees.
< X in 15^(2) = 13^(2) + 10^(2) -2(13)(10) cos X
Also a question down below.
Answer:
12
Step-by-step explanation:
Well they are similar I assume so 5 / 3.5 = roughly 1.43 and 8.4 x this number gives you 12 so I would say 12
Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder yx and the planes zy and z0.
By using the triple integral, the wedge's volume is 4/15.
What is parabolic cylinder?A parabolic cylinder is a three-dimensional quadratic surface (sometimes known as a quadric surface) in mathematics, specifically analytical geometry, and is defined by the equation x 2 + 2 a y = 0 x2+2ay=0. A parabola serves as the directrix of a parabolic cylinder, to put it another way.
According to the assertion:The wedge's volume, which the parabolic cylinder encloses, must be determined.
Consequently, as a result of the z=y form,
In addition to the specified boundary, the plane y=0 x = 0, z = 0.
For all of this, we are therefore in the first octant. additionally, the plane
x + y = 1 is a constraint.
Triple integrals are three independent integrations that are done one after the other to calculate a volume or to integrate across three independent dimensions in a fourth dimension.
The following would be written as a triple integral:
∫x=0 ∫y=0
∫z=0 dy dz dx
Once the values have been entered and the problem has been solved, we obtain the
[−4/15(1−x)^5/2] at x=0
The answer will then change to 4/15.
As a result, using the triple integral, the wedge's volume comes out to 4/15.
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a. Use the properties of right triangles and AABC to prove the Law of Sines.
b. Find the length of BC, rounded to the nearest tenth of a unit.
In your final answer for parts A and B, Include all of the necessary steps and calculations.
The Law of sines defines that in a triangle, (Sin A)/a = (Sin B)/b = (Sin C)/c and as per law of sines the length of BC is 24.
The given triangle is ΔABC, we split the given triangle into two right-angled triangle ΔABD and ΔBCD.
In the triangle ΔABD,
sin θ = opposite side/hypotenuse
sin A=BD/AB
BD=(sin A)/AB
And in the triangle ΔBCD,
sin θ = opposite side/hypotenuse
sin B=BD/BC
BD=(sin B)/BC
Hence, BD=(sin A)/AB=(sin B)/BC
Let say, (sin A)/a=(sin B)/b
As per law of sine, (sin A)/a=(sin B)/b
Then,
(sin 46°)/a=(sin 31°)/17
a=(17 × sin 46°)/(sin 31°)
a=23.74
a=24
Hence, the value of BC, rounded to the nearest tenth of a unit is 24.
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Pleassee help!!!
will give brainliest!!
The amplitude is 6 and vertical translation is 2. Therefore Option C is correct
For the transformation of y=f(x) to f(x)+k, for k>0, f(x) is moved k upwards and for transformation of f(x) to f(ax) it depends upon the value of a If |a|>1 then f(ax) is f(x) squashed horizontally by a factor of a and If 0<|a|<1 then f(x) is stretched horizontally by a factor of a.
So by the graph it is clearly visible that amplitude of the graph is 6 as the distance from the centre line (or the still position) to the top of a crest or to the bottom of a trough is 6 and the vertical translation is 2 as distance moved by the graph upwards is 2.
Thus the amplitude is 6 and vertical translation is 2.
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can someone please help me
Answer:
Cos (3pi/4) =0.999154554
Sin (3pi/4)=0.041111762
Step-by-step explanation:
On your calculator there should be SIN and COS next to each other
#1 tap COS
#2 put your given numbers, in this case
COS(3pi/4) = 0.999154554
same goes for SIN
SIN (3pi/4)=0.041111762
Fyodor and his three sons, Ivan, Dmitri and Alyosha, are standing exactly on the corners of a rectangular room. Fyodor is $3$ meters from Dmitri and $5$ meters from Ivan. What is the minimum possible distance that Fyodor could be from Alyosha, in meters
The minimum possible distance that Fyodor could be from Alyosha is 4 meters.
Given Information and Deduction
It is given that Fyodor is 3 meters in distance away from Dmitri and 5 meters from Ivan.
Now, since we know that the longest side of a right angle triangle formed by the dividing the rectangular room into two parts using a diagonal is the hypotenuse. Thus, if we want to find the minimum possible distance between Fyodor and Alyosha, we will have to assume that Ivan is standing diagonally opposite to Fyodor, as shown in the figure below.
Calculating the Minimum Distance
According to Pythagoras Theorem,
(hypotenuse)² = (base)² + (perpendicular)²
Here, the hypotenuse is the distance between Fyodor and Ivan.
Perpendicular and the base are the distances between Fyodor and Dmitri, and Fyodor and Alyosha respectively.
⇒ base = √(hypotenuse)² -(perpendicular)²
⇒ base = √(5)²-(3)²
⇒ base = √(25-9)
⇒ base = √16
⇒ base = 4 meters
Therefore, the minimum possible distance between Fyodor and Alyosha is 4 meters.
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