The statement that is: a. ∠1 and ∠5 are alternate interior angles.
What is the alternate interior angles ?
A pair of angles that are inside the two parallel lines and on opposing sides of the transversal line are known as alternate internal angles. 1 and 5 are situated on opposite sides of the transversal line and inside the parallel lines in the diagram. They are thus different internal angles.
The fact that alternate inner angles have the same measure and are congruent is significant.
Therefore the correct option is A.
A man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses
Answer:
Step-by-step explanation:
Let the speed of cyclist be C and bus be B.
Using the concept of relative speed:-
For incoming bus,speed = B + C
For overtaking bus,speed = B - C
Now,distance travelled b/w 2 incoming bus = (B + C)*4
Now,distance travelled b/w 2 overtaking bus = (B - C)*12
so,
(B + C)*4 = (B - C)*12
or, B=2C
Hence,distance b/w two buses in same direction,d=4*(3/2)B=6 B
Therefore, time gap=d/B=6 minutes
Time interval between consecutive buses is 6 minutes, determined using relative speeds and given overtaking and meeting intervals.
To solve this problem, let's denote the following:
- [tex]\( v_c \)[/tex] is the speed of the cyclist.
- [tex]\( v_b \)[/tex] is the speed of the buses.
- [tex]\( t \)[/tex] is the time interval between consecutive buses.
Step-by-Step Solution:
1. Relative Speed in the Same Direction:
When a bus overtakes the cyclist, it means the bus is catching up to the cyclist from behind. The relative speed of the bus with respect to the cyclist is:
[tex]\[ v_b - v_c \][/tex]
According to the problem, a bus overtakes the cyclist every 12 minutes:
[tex]\[ v_b - v_c = \frac{d}{12} \][/tex]
where [tex]\( d \)[/tex] is the distance between consecutive buses.
2. Relative Speed in the Opposite Direction:
When the cyclist meets an oncoming bus, they are moving towards each other. The relative speed is:
[tex]\[ v_b + v_c \][/tex]
According to the problem, the cyclist meets an oncoming bus every 4 minutes:
[tex]\[ v_b + v_c = \frac{d}{4} \][/tex]
3. Setting Up Equations:
From the given information, we have two equations:
[tex]\[ v_b - v_c = \frac{d}{12} \][/tex]
[tex]\[ v_b + v_c = \frac{d}{4} \][/tex]
4. Solving for [tex]\( d \)[/tex] and [tex]\( t \)[/tex] :
Let's add these two equations to eliminate [tex]\( v_c \)[/tex]:
[tex]\[ (v_b - v_c) + (v_b + v_c) = \frac{d}{12} + \frac{d}{4} \][/tex]
[tex]\[ 2v_b = \frac{d}{12} + \frac{d}{4} \][/tex]
[tex]\[ 2v_b = \frac{d}{12} + \frac{3d}{12} \][/tex]
[tex]\[ 2v_b = \frac{4d}{12} \][/tex]
[tex]\[ 2v_b = \frac{d}{3} \][/tex]
Multiply both sides by 3:
[tex]\[ 6v_b = d \][/tex]
Now, substitute [tex]\( d = 6v_b \)[/tex] back into either equation, let's use [tex]\( v_b + v_c = \frac{d}{4} \)[/tex]:
[tex]\[ v_b + v_c = \frac{6v_b}{4} \][/tex]
[tex]\[ v_b + v_c = 1.5v_b \][/tex]
[tex]\[ v_c = 0.5v_b \][/tex]
5. Finding the Time Interval [tex]\( t \)[/tex]:
We already established that the distance between consecutive buses is [tex]\( d = 6v_b \)[/tex].
The time interval [tex]\( t \)[/tex] between consecutive buses can be found using the speed of the buses:
[tex]\[ t = \frac{d}{v_b} \][/tex]
[tex]\[ t = \frac{6v_b}{v_b} \][/tex]
[tex]\[ t = 6 \text{ minutes} \][/tex]
So, the time interval between consecutive buses is 6 minutes.
Evaluate:
(-3g^2)^0
Where g=0
Answer:
undefined or 1
Step-by-step explanation:
(-3g^2)^0
Where g=0. (given)
now,
[tex](-3g^2)^0 \\ ( - 3(0) {}^{2} ) {}^{0} \\
[/tex]
undefined or 1
[tex]\text{Solve by plugging in 0 to g}\\\\(-3\left(0\right)^2)^0\\\\\text{Solve:0}\\\\(-3\left(0\right)^2)^0\\\\(-3(0))^0\\\\(0)^0=1\\[/tex]
Ridge trail is 3/4 mile long. Valley trail is 7/12 mile long. Crystal brook trail is 2/3 mile long. Write the names of the trails in order from shortest trail to longest trail
Answer:
The answer to your question is below
Step-by-step explanation:
Process
1.- Convert the lengths to the same denominator (12)
Ridge trail 3 /4 mile = 3(3) / 12 = 9/12
Valley trail 7/12 mile = = 7/12
Crystal brook 2/3 mile = 4(2) / 12 = 8/12
2.- Order from shortest to longest
a) Valley trail
b) Crystal brook
c) Ridge trail
Answer:
Ridge trail, Valley trail, Crystal Brook trail
Step-by-step explanation:
3/4 --> 9/12
2/3 --> 8/12
7/12
The odds against an event are 4:7. Find the probability that that event will occur
Answer:
3:7 or .4285
Step-by-step explanation:
the odds against are 4:7 so the odds with must be 7-4=3
which will be written in 3:7 form
WILL MARK BRAINLIEST Suppose MyBook sent out 950 surveys. Which of these numbers of surveys being returned would prevent nonresponse bias?
A.95B.190C.9D.950
Answer:
C) 9
Step-by-step explanation:
The response is very low
Answer: 950, option D
Step-by-step explanation:
Adequate response rate from participants prevents non response bias.
Non-response bias can be said to occur when response rates from participants is below 60%.
Meanwhile, all other options are less than or equals 20% respond rate, while 950 implies 100% response rate.
Alan is writing out the steps using the "shortest Route Algorithm". On the second step, he just circled the route ABD as the shortest route from A to D. What should he cross out next?
Group of answer choices
AB; 2
AC; 4
AD; 6
ABE; 8
Answer:
Cross out Ab
Step-by-step explanation:
Answer: AD; 6
Step-by-step explanation:
using the shortest route algorithm. The next shortest route to AD would be AD; 6.
1. Consider the inequality 2x < 6(2).
a. Write the inequality to describe the possible values of x.
b. What could you do to both sides of the original inequality to determine your answer to part (a)?
We want
[tex]2x<6\cdot 2=12[/tex]
So, if we divide both sides by 2, we have
[tex]x<6[/tex]
So, we can accept all values for [tex]x[/tex], as long as they are less than 6 (excluded)
Answer:
a) 2x < 6(2)
x < 6
x can take any real value less than 6
b) divide both sides by 2;
Or multiply both sides by ½
Which of the following are ordered pairs for the equation y = 1/8x + 11?
(0,11) (8,12) (16,13)
(0,11) (7,13) (8,15)
(0,11) (5,12) (7,13)
(0,11) (6,12) (8,13)
Answer:
Again, A.
Step-by-step explanation:
Just graph the equation, but you can tell just by looking at it that (0,11) is the y-intercept meaning that it's one of the answer choices.
What is the y- value of the solution to the linear system below?
Answer: y = 6
y = -3x - 12
y = 3x + 24
Use elimination method to get 2y = 12 so y = 6.
Answer: the last option is the correct answer.
Step-by-step explanation:
The given system of equations is expressed as
y = - 3x - 12- - - - - - - - - - - - -1
y = 3x + 24- - - - - - - -- - - - - - -2
We would apply the method of elimination. Since x has the same coefficient and the sign is opposite, we would eliminate x by adding equation 1 to equation 2. It becomes
y + y = - 3x + 3x - 12 + 24
2y = 12
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2y/2 = 12/2
y = 6
The king of noble girth said, "you there, victualer, have you procured the food for the upcoming wedding feast?" "No sire," he meekly replied, "I did not know how much of each i was to get." "Listen carefully, and do what i say," growled the king. "one hubdred eighty head fo bird and beast, you are to cook my great feast. 500 feet they have to stand on, the number of each you now must stand on."
The subject of this question is Mathematics. The student needs to determine the number of birds and beasts the victualer needs to get for the upcoming wedding feast.
Explanation:The subject of this question is Mathematics.
The student is being asked to determine how much of each bird and beast the victualer needs to get for the upcoming wedding feast. The king specifies that there should be a total of 180 heads of bird and beast, and the number of feet should be 500. The student needs to calculate the number of each bird and beast that satisfies these conditions.
To solve this problem, we can set up a system of equations. Let x be the number of birds and y be the number of beasts. We have the following two equations:
x + y = 180 (equation 1)
2x + 4y = 500 (equation 2)
We have equation 1 to represent the total number of heads, and equation 2 to represent the total number of feet. We can solve this system of equations to find the values of x and y that satisfy both equations.
In equation 1, we can solve for x in terms of y: x = 180 - y. We can substitute this value of x in equation 2 to get:
2(180 - y) + 4y = 500
Simplifying this equation gives: 360 - 2y + 4y = 500
Combining like terms: 2y = 140
Dividing both sides by 2: y = 70
Substituting this value of y in equation 1 gives: x = 180 - 70 = 110
So, the victualer needs to get 110 birds and 70 beasts for the upcoming wedding feast.
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What are the values of i and j after the following code snippet is run? int i = 10; int j = 20; int count = 0; while (count < 5) { i = i + i; i = i + 1; j = j - 1; j = j - j; count++; } System.out.println("i = " + i + ", j = " + j);
Answer:
i = 351, j = 0
Step-by-step explanation:
The while loop runs 5 times as indicated by the variable, count.
The variable, i, has an initial value of 10. The first line of the loop code doubles the value of i while the second increments it by 1. This is done 5 times. We have
Iteration 1: i = 10 + 10 + 1 = 21
Iteration 1: i = 21 + 21 + 1 = 43
Iteration 1: i = 43 + 43 + 1 = 87
Iteration 1: i = 87 + 87 + 1 = 175
Iteration 1: i = 175 + 175 + 1 = 351
The third line of the loop code decrements j by 1. However, the fourth line sets j = 0 by subtracting it from itself. Hence, j is always 0 at the end of the loop, no matter its initial value or the number of iterations.
Thus, at the end of the code snippet, i = 351 and j = 0.
Use a double integral to find the volume of the solid in the first octant which is enclosed by the surface 3x + 6y + 2z = 12 and the coordinate planes.
Answer:
8 unit^3
Step-by-step explanation:
Given:
- The equation of the plane is:
3x + 6y + 2z = 12
Find:
Use a double integral to find the volume of the solid in the first octant which is enclosed by the plane and the coordinate planes
Solution:
- Express the equation of surface ( plane ) as a subject of any coordinate axis we will use z:
2z = 12 - 3x - 6y
z = 6 - 1.5x - 3y
- The double integral would be set- up as:
[tex]\int\limits^d_c \int\limits^a_b ({6 - 1.5x - 3y}) \, dy.dx[/tex]
- Where, a , b ,c and d are limits of integration.
- To determine the limits we will project the surface to x-y plane or z = 0 plane, the equation we have is:
0 = 6 - 1.5x - 3y
y = 2 - 0.5x
- For limits a and b the integration is with respect to y, so we express the limits of y in terms of x. Where lower limit b = 0, and upper limit a = 2 - 0.5x
- Similarly, the limits c and d is with respect to x are constants we have:
c = 0
0 = 2 - 0.5*d
d = 4
- Then solve the double integral:
[tex]\int\limits^4_0 ({6y - 1.5xy - 1.5y^2}) \,_0 ^2^-^0^.^5^x dx \\\\\int\limits^4_0 ({6(2-0.5x) - 3x + 0.75x^2 - 1.5(2-0.5x)^2}) dx \\\\({-6(2-0.5x)^2 - 1.5x^2 +0.25x^3 + (2-0.5x)^3}) | ^4_0\\\\= ( -6(0) - 1.5(16) + 0.25*(64) + (0) + 6(4) + 0 + 0 - (8) ) \\\\= 8 unit^3[/tex]
Final answer:
To find the volume of the solid in the first octant enclosed by the given surface and the coordinate planes, a double integral is used where z is expressed in terms of x and y, and appropriate limits for x and y are determined.
Explanation:
The volume of the solid in the first octant enclosed by the surface 3x + 6y + 2z = 12 and the coordinate planes can be found using a double integral. First, we need to express z in terms of x and y: z = 6 - (3/2)x - 3y.
The limits for x and y are determined by setting z = 0; thus, x ranges from 0 to 4, and y ranges from 0 to (6-(3/2)x)/3. Hence, the double integral equation is set up as follows:
[tex]\(\int_{0}^{4}\int_{0}^{2-(3/2)x} (6 - \frac{3}{2}x - 3y) dy dx\)[/tex]
Evaluating this double integral will give the volume of the solid.
In k-means clustering, k represents the a. number of clusters. b. mean of the cluster. c. number of observations in a cluster. d. number of variables.
Answer:
The correct answer to the question is;
a. number of clusters.
Step-by-step explanation:
Clustering is the process of looking for smaller similar groups of observation within a set of data.
K-means clustering is a vector quantization method used in data mining cluster analysis. The objective of k-means clustering is to a given number of observations into k number of clusters whereby an observation is grouped in a cluster having the closest mean value, hence being representative of tha particular cluster. This is in atempt to make observations in a particular group to be similar.
In k-means clustering, the number of clusters is specified as k.
In k-means clustering, k represents the number of clusters, indicated by answer choice (a). This technique involves partitioning the data into k compact and separate clusters, with the k initial cluster centers often chosen randomly.
Explanation:In k-means clustering, k represents the number of clusters into which the data is to be partitioned. This method involves assigning each data point to the nearest cluster, while keeping the clusters as small as possible. The initial positions of the k clusters are typically chosen at random, and then the mean position of all the points in each cluster is recomputed, and this becomes the new center for the cluster. This process is repeated until the cluster assignments no longer change significantly, meaning the clusters are as compact and as separate as possible. The mean refers to the mean of the data points within each cluster once the clusters have formed. The standard deviation is a measure of the variability of the original distribution of the data. Sample size, denoted as n, is the number of observations in the dataset. Therefore, the answer to the question about what k represents in k-means clustering is (a) the number of clusters.
Subscriptions to a fashion magazine have gone down by a consistent 5% each year. If the magazine currently has 25,000 subscribers, how many will there be in 6 years?
After 6 years the number of subscribers are 16500.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Subscriptions to a fashion magazine have gone down by a consistent 5% each year.
The magazine currently has 25,000 subscribers.
We need to find the number of subscribers after 6 years.
[tex]A=Pe^{rt}[/tex]
where r is rate of interest
t is the time
p is the initial subscribers
[tex]A=25000e^{0.05(6)}[/tex]
[tex]A=25000e^{0.3}[/tex]
A=25000(1.34)
A=33500
As it is going down so we need to subtract 33500-25000
8500
So from initial subscribers 8500 are left.
250000-8500
16500
Hence, after 6 years the number of subscribers are 16500.
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The average person in North Carolina will eat about 12,300 pounds of sugar in a 70 or one lifespan about how many pounds of sugar does the average person in North Carolina eat a year
Answer:
The sugar does the average person in North Carolina eat in a year = 175.71 pounds.
Step-by-step explanation:
The person eat sugar in 70 year life span = 12300 pounds
The same person eat sugar in one year = [tex]\frac{12300}{70}[/tex]
= 175.71 pounds
Thus the person eat about 175.71 pounds of sugar in a year.
Brian is moving his 18 books. He has packed an equal number of books into each 5 empty boxes. How many books are in each box? How many books are left over?
Answer:
3 books per box, 3 left over.
Step-by-step explanation:
Brian has 18 books, and he is packing them into 5 boxes. 18 is only divisible by 1, 3, 9, and 18.
1 x 5 = 5 books = 13 left over. Still enough to pack more books.
3 x 5 = 15 books = 3 left over. This is the answer, but let's check the others as well.
9 x 5 = 45 books. He doesn't have that many! He can't put 9 books in each box because it would only take 2 boxes he's using all 5.
18 x 5 = 90 books. We can clearly see this isn't the answer. He would only be able to put all 18 books in 1 box but he wants to use all 5 boxes.
There are 3 books in each box with 3 left over.
Brian has 3 books in each of the 4 boxes, with 3 books remaining as leftovers after packing them equally.
Explanation:Brian is moving his 18 books and has packed an equal number of books into each of the 5 empty boxes. To find out how many books are in each box, we divide the total number of books by the number of boxes, which is = 18 books ÷ 5 boxes = 3 books per box with 3 books left over. Therefore, there will be 3 full boxes and one box with 3 leftover books.
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An article reported that the mean annual adult consumption of wine was 3.85 gallons and that the standard deviation was 6.07 gallons. Would you use the empirical rule to approximate the proportion of adults who consume more than 9.92 gallons (i.E., the proportion of adults whose consumption value exceeds the mean by more than 1 standard deviation)? Explain your reasoning. (Round your numerical answer to three decimal places.)
To approximate the proportion of adults consuming more than 9.92 gallons of wine annually, we can use the empirical rule.
Explanation:To approximate the proportion of adults who consume more than 9.92 gallons, we can use the empirical rule. The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations. Since we want to find the proportion of adults consuming more than 9.92 gallons, which is more than 1 standard deviation above the mean, we can estimate that it would be approximately 32% based on the empirical rule.
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Which statement is true about the box plots? Both the ranges and the interquartile ranges for the data sets are the same. Neither the ranges nor the interquartile ranges for the data sets are the same. The interquartile ranges for the box plots are the same
Answer:
Neither the ranges nor the interquartile ranges for the data sets are the same.
Step-by-step explanation:
In a visual display, the boxplot presents five sample statistics: the minimum, the lower quartile, the median, the upper quartile and the maximum, and the box length gives an indication of the sample variability and the line across the box shows where the sample is centred, with an end at each quartile. The length of the box is thus the interquartile range of the sample and, whether the sample is symmetric or skewed, either to the right or left, the "shape" of the sample, and by implication, the shape of the population from which it was drawn, considering appropriate analyses of the data.
The question is incomplete! The complete question along with answer and explanation is provided below.
Question:
Which statement is true about the box plots? (attached in the image)
A Both the ranges and the interquartile ranges for the data sets are the same.
B. Neither the ranges nor the interquartile ranges for the data sets are the same.
C. The interquartile ranges for the box plots are the same, but their ranges are different.
D. The ranges for the box plots are the same, but their interquartile ranges are different.
Answer:
D. The range of both box-pots is same (9) but the interquartile range of box-plots is different (6 and 5)
Step-by-step explanation:
To answer this question, first we have to understand what a box plot is!
A box plot is a type of graph which shows 5 statistical characteristics of a data set.
1. Maximum and 2. Minimum values of data
3. Upper Interquartile and 4. Lower interquartile of data
5. Median of the data
Now lets analyze the attached box-plot so that we can conclude what is true about them and what is not!
We have two box-plots for two teacher's classes Marc and Sue and they show the number of incorrect questions in exam.
For Sue's class: (on the bottom)
As you can see the maximum and minimum values are
Maximum = 12 and Minimum = 3
So the Range becomes = 12 - 3 = 9
The upper quartile Q3 is 10 and lower quartile Q1 is 5
So the Interquartile Range becomes = 10 - 5 = 5
This Interquartile Range represents the 25 to 75 percentile of the data
There is little vertical line skewed to the right represents the Median = 9
So to summarize Sue's class
Range = 9
Interquartile Range = 5
Median = 9
For Marc's class: (on the top)
As you can see the maximum and minimum values are
Maximum = 10 and Minimum = 1
So the Range becomes = 10 - 1 = 9
The upper quartile Q3 is 9 and lower quartile Q1 is 3
So the Interquartile Range becomes = 9 - 3 = 6
This Interquartile Range represents the 25 to 75 percentile of the data
There is little vertical line skewed to the left represents the Median = 5
So to summarize Marc's class
Range = 9
Interquartile Range = 6
Median = 5
Conclusion:
The range of both box-pots is same (9) but the interquartile range of box-plots is different (6 and 5).
Therefore, we can confidently conclude that option D is the correct answer.
a. Write the first four terms of the series.
b. Does the series diverge or converge?
c. If the series has a sum, find the sum. Show your work.
Step-by-step explanation:
a. The first four terms are:
-4 (⅓)¹⁻¹ = -4
-4 (⅓)²⁻¹ = -4/3
-4 (⅓)³⁻¹ = -4/9
-4 (⅓)⁴⁻¹ = -4/27
b. This is a geometric series. Since the absolute value of the common ratio is less than 1 (|⅓| < 1), the series converges.
c. The series converges to the sum of:
S = a₁ / (1 − r)
S = -4 / (1 − ⅓)
S = -6
Kayla rented a boat. There was a one-time charge of $100 plus an hourly rate of $45. Her total cost for the day was $370. Which equation, when solved for x, gives the number of hours she rented the boat? A) 45x + 100 = 370 B) 45x − 100 = 370 C) 45x + 370 = 100 D) 45x − 370 = 100
The answer is 'A' twinks!!
The equation that represents her total cost for the day is
A) 45x + 100 = 370
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, Kayla rented a boat.
There was a one-time charge of $100 plus an hourly rate of $45.
Assuming no. of hours to be x and total cost to be c(x).
∴ c(x) = 45x + 100.
Her total cost for the day was $370.
370 = 45x + 100.
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Solve 1/3 x = -4/5????
Answer:
x = −2.4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form: x = −12/5
Decimal Form: x = −2.4
Find the perimeter of the polygon if B = D
Perimeter of the polygon is 92 cm
Solution:
The reference image for the solution is attached below.
AX = 10.5 cm, BY = 11.5 cm and CZ = 12.5 cm
AW and AX are tangents to the circle from external point A.
BX and BY are tangents to the circle from external point B.
CY and CZ are tangents to the circle from external point C.
DZ and DW are tangents to the circle from external point D.
Two tangents drawn from an external point to a circle are equal in length.
AW = AX, BX = BY, CY = CZ and DZ = DW
⇒ AW = AX
AW = 10.5 cm
⇒ BX = BY
BX = 11.5 cm
⇒ CY = CZ
CY = 12.5 cm
Given ∠B ≅ ∠D
If two angles are congruent, then the corresponding sides are congruent.
BX = BY = DZ = DW
DZ = DW = 11.5 CM
Perimeter = AW + AX + BX + BY + CY + CZ + DZ + DW
= 10.5 + 10.5 + 11.5 + 11.5 + 12.5 + 12.5 + 11.5 + 11.5
= 92
Perimeter of the polygon is 92 cm.
In a shipment of 2,000 beach balls 150 are defective the manufacturer generates a random sample to simulate 20 beach balls to inspect in the next shipment the integers 1 to 150 represent defective beach balls
The concluding part of the question as obtained from the textbook;
The number on the 20 beach balls that come up in the simulated sample:
42, 1701, 638, 397, 113, 1243, 912, 380, 769, 1312, 76, 547, 721, 56, 4, 1411, 1766, 677, 201, 1840
A) Based on this sample, how many
defective beach balls might the
manufacturer expect in the next
shipment?
B) What is the difference between the
number of defective beach balls in the
actual shipment and the number
predicted in the next shipment?
Answer:
A) 500 defective beach balls.
B) Difference between the
number of defective beach balls in the
actual shipment and the number
predicted in the next shipment = 350
Step-by-step explanation:
The beach balls are labelled 1 to 2000 with the 150 defective ones labelled 1 to 150.
Then a random sample of 20 beach balls is picked, and the numbers are presented as
42, 1701, 638, 397, 113, 1243, 912, 380, 769, 1312, 76, 547, 721, 56, 4, 1411, 1766, 677, 201, 1840
Note that only the defective beach balls have numbers 1 to 150.
A) The number of beach balls with numbers from 1 to 150 in the sample is 5 (numbers 42, 113, 76, 56, 4). This is the number of defective beach balls in the sample.
Probability of getting a defective ball in the next shipment = (5/20) = 0.25
If every shipment contains 2000 beach balls, then there will be (0.25 × 2000) defective beach balls in the next sample; 500 defective beach balls.
B) Number of defective beach balls in actual shipmemt = 150
Number of predicted defective beach balls in the next shipment = 500
difference = 500 - 150 = 350.
Hope this Helps!!!
Answer:
C.) 500
Step-by-step explanation:
In a shipment of 2,000 beach balls, 150 are defective. The manufacturer generates a random sample to simulate 20 beach balls to inspect in the next shipment. The integers 1 to 150 represent defective beach balls.
42 1701 638 397 113
1243 912 380 769 1312
76 547 721 56 4
1411 1766 677 201 1840
12. Based on this sample, how many defective beach balls might the manufacturer expect in the next shipment?
Group of answer choices
A.) 100
B.) 200
C.) 500
D.) 1000
what is the value of x.
A. 17
B. 16
C. 16.5
D. 15
Answer:
Step-by-step explanation:
Because angle FGH and angle HGE are congruent, that angle bisector, namely GH, separates this largr triangle into one that shares sides in proportion to each other.
That means that [tex]\frac{x}{13.5} =\frac{68}{54}[/tex]
Cross multiply to get
54x = 918 and
x = 17
Choice A.
Researchers are interested in learning more about the age of young adults who watch the television show Parks and Recreation. By interviewing people at a shopping mall, they can identify people who watch this show.
The mean age of these young adults at the mall who watch Parks and Recreation is an example of which of the following?
a. Parameter
b. Statistic
c. Population
d. Sample
Answer:
Option B) Statistic
Step-by-step explanation:
Parameter and Statistic
A parameter is a quantitative value that describes a population.A population is a collection of all possible observation for an event.A statistic is a quantitative variable that describes a sample.A sample is a part of population and is always smaller than the population.For the given research:
Population:
All young adults who watch the television show Parks and Recreation
Sample:
All young adults at the mall who watch the television show Parks and Recreation
Thus, the he mean age of these young adults at the mall who watch Parks and Recreation is a statistic as it describes a sample of the whole population.
Thus, the correct answer is :
Option B) Statistic
What is data correlation. not anything too in depth just a over all definition
5. We want to compare two different groups of students, students taking Composition 1 in a tradition lecture format and students taking Composition 1 in a distance learning format. We know that the mean score on the research paper is 85 for both groups. What additional information would be provided by knowing the standard deviation?
Answer:
By knowing the standard deviation, one gets the idea of how the value is scattered or dispersed about the mean.
Step-by-step explanation:
Let us first define standard deviation.
As it is known that the standard deviation is a measure of dispersion which express the spread of observation in terms of the average of deviations of observations from some central values.
Measure of dispersion gives us an idea about homogeneity or heterogeneity of the distribution.
Standard deviation is supposed almost an ideal measure of dispersion except the general nature of extracting the square root.
Thus for the given question, if we want to compare the two different groups of students whose mean score is 85. Here the standard deviation for both the groups interprets an idea about how the individual score for each group scattered or varied about the mean score i.e. 85.
please look at this multiple choice, thanks!
Step-by-step explanation:
[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{y - 0}{x - ( - 1)} = \frac{3 - 0}{1 - ( - 1)} [/tex]
[tex] \frac{y}{x + 1} = \frac{3}{1 + 1} [/tex]
[tex] \frac{y}{x + 1} = \frac{3}{2} [/tex]
[tex]y = \frac{3}{2} (x + 1)[/tex]
[tex]y = \frac{3}{2} x + \frac{3}{2} [/tex]
option B
Which of the following is true of qualitative research methods? Question 5 options: Qualitative researchers must be able to translate numerical data into meaningful narrative information. Qualitative researchers seek to fit their answers into predetermined categories rather than to understand research participants. Qualitative research is less superior for studying topics that involve complex psychological motivations. Qualitative researchers emphasize their samples are made up of representative rather than relevant consumers.
Complete Question:
Which of the following is true of qualitative research methods?
A. Qualitative data may be analyzed qualitatively or quantitatively.
B. Qualitative researchers must be able to translate numerical data into meaningful narrative information.
C. Qualitative researchers seek to fit their answers into predetermined categories rather than to understand research participants.
D. Qualitative research is less superior for studying topics that involve complex psychological motivations.
E. Qualitative researchers emphasize their samples are made up of representative rather than relevant consumers.
Answer:
A. Qualitative data may be analyzed qualitatively or quantitatively.
Step-by-step explanation:
Qualitative data research is a way or method to gather or collect non-numerical information either by observation or by asking crucial questions. It is a scientific method.
Qualitative data research involves the gathering accurate data and one of the way to do this is by carrying out surveys.
Qualitative data research determines WHY a particular action is carried out.
There are various methods of Qualitative data research. They are:
a. Direct Observation
b. In-depth interviews
c. Focus groups
d. Open end surveys
e. Oral History
f. Ethnographic observation
Qualitative data may be analysed qualitatively or quantitatively.
Qualitative research methods involve the collection and analysis of non-numerical data to understand subjective experiences and behaviors.
Explanation:Qualitative research methods involve the collection and analysis of non-numerical data to understand subjective experiences and behaviors. It emphasizes open-ended questions, in-depth interviews, and observations to gain insights into complex psychological motivations. Qualitative researchers do not seek to fit their answers into predetermined categories but rather aim to understand research participants and their experiences.
Learn more about Qualitative research methods here:https://brainly.com/question/33487340
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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.1) What is the volume, in cubic centimeters, of the object? Explain how you found the volume of the (2) smaller shapes.2) Then explain how you found the volume of the total shape.**Do not just show your answer. Explain your steps and the numbers you used.**Did you use radius? Height? Diameter? Base? Pi (3.14)?
Answer:
Part 1) The volume of the object is [tex]32\pi\ cm^{3}[/tex] or [tex]100.48\ cm^{3}[/tex]
Part 2) see the procedure
Step-by-step explanation:
The picture of the question in the attached figure
Part 1) What is the volume, in cubic centimeters, of the object?
we know that
The volume of the object is equal to the volume of the cylinder plus the volume of the cone
Find the volume of the cone
The volume of the cone is equal to
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
we have
[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter
[tex]h=3\ cm[/tex]
substitute the values
[tex]V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}[/tex]
Find the volume of the cylinder
The volume of the cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter
[tex]h=(10-3)=7\ cm[/tex]
substitute the values
[tex]V=\pi (2^{2})(7)=28\pi\ cm^{3}[/tex]
Part 2) Then explain how you found the volume of the total shape
The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone
[tex]4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}[/tex] ------> exact value
Find the approximate value of the volume
assume
[tex]\pi=3.14[/tex]
[tex]32(3.14)=100.48\ cm^{3}[/tex]
Answer:
Step-by-step explanation: