Answer:
204768
Step-by-step explanation:
You just need to multiply 3762 with 54
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
the median value of the given data set is 30
Step-by-step explanation:
The computation of the median value is as follows:
27,28,28,29,29,29,30,30,30,31,31,31,33,34
There are 14 entries
So the mid value is 30
Hence the median value of the given data set is 30
Answer:
30
Step-by-step explanation:
What is the volume of this rectangular pyramid?
3 cm
3 cm
4 cm
cubic centimeters
Answer:
36 cm hope this helps
Step-by-step explanation:
3×3=9×4=36
Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
For similar question on population sample.
https://brainly.com/question/27859177
#SPJ8
+b4+c4 = 20² (b²+c²), prove
that A:45° or 135°
A is either 45° or 135°.
To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.
Using the distance formula, we have:
AB² = x₁² + y₁²
AC² = x₂² + y₂²
According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:
(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]
Expanding and simplifying the equation, we get:
x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)
This equation can be further simplified to:
(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)
Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.
In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.
For more questions on distance formulae
https://brainly.com/question/661229
#SPJ8
A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (25.53, 37.87) and (23.59, 39.81). One of these intervals is a 99% CI and the other is a 95% CI. Please match them.
Answer:
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Step-by-step explanation:
The margin of error of a confidence interval is given by:
\(M = z*\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the values of z, and thus, we wider the confidence interval is.
In this question:
The narrower C.I. is the 95%, and the wider is the 99%. So
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Karla won a trip to Hawaii.The plane they are in will fly a constant speed of 500 mph. They are told the flight should take them 8 hours and 31 minutes (8.52 hours).How many miles is it from Chicago to their destination in Honolulu,Hawaii?
Gathering the data
V = 500 mph
Flight Time = 8 hours 31 ' or (8.52 h)
How many miles Chicago to Honolulu?
1) Using the formula, and assuming the speed as constant
\(undefined\)Find the area of the rectangle ABCD. I need both green and grey box please.
Answer:
180
Step-by-step explanation:
12x15=180
An elevation of - 12 m is higher than an elevation of -17 m. An elevation of - 17 mis lower than an elevation of -14 m. Which set of inequalities correctly
expresses these relationships?
-12-17 and -17<-14
-12-17 and -17 > -14
-12<-17 and -17 < -14
-12-17 and -17 > -14
help plss
Given:
An elevation of - 12 m is higher than an elevation of -17 m.
An elevation of - 17 m is lower than an elevation of -14 m.
To find:
The set of inequalities that correctly expresses these relationships.
Solution:
An elevation of - 12 m is higher than an elevation of -17 m.
We know that, higher than means greater than and it is represented by the inequality ">". So,
\(-12>-17\)
An elevation of - 17 m is lower than an elevation of -14 m.
We know that, lower than means less than and it is represented by the inequality "<". So,
\(-17<-14\)
Therefore, the required set of inequalities is \(-12>-17\) and \(-17<-14\).
Note: The inequality signs are not proper in the options.
Write down the exact value of:
a) cos 45°
b) sin 60°
C) tan 60°
Answer:
a)squareroot 2/2
b)squareroot 3/2
c)squareroot 3
Step-by-step explanation:
Answer:
cos45 = √2/2 = 0.707.
sin60 = √3/2 = 0.866.
tan60 = √3 = 1.732.
Step-by-step explanation:
A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
Share £180 in the ratio 1:2:3.
Answer:
$30, $60 and $90
Step-by-step explanation:
The value of 1 unit: 180 : (1+2+3) = $60
30×1=$30
$30×2=$60
$30×3=$90
So $180 shared by the ratio 1:2:3 is $30, $60 and $90.
Answer: $30, $60 and $90.
Hope it helps you
Solve for L: 84= 3L+36
Answer:
84=3L + 36
84-36 = 3L
48=3L
3L=48
L=16
ANSWER:
L=16
EXPLANATION:
\(84=3l+36\\\)
(subtract 36 from both sides)
\(48=3l\)
(divide both sides by 3)
\(16=l\)
16=L would be correct, but you would normally write the variable on the left side.
please help me with these it is due tomm.
Answer:
1.) 10: 1, 2, 5, 10.
15: 1, 3, 5, 15,
Answer would be 5.
2.) 18: 1, 2, 3, 6, 9, 18
21: 1, 3, 7, 21
Answer would be 3.
3.) 12: 1, 2, 3, 4, 6, 12.
24: 1, 2, 3, 4, 6, 8, 12, 24.
Answer would be 12.
4.) 8: 1, 2, 4, 8.
20: 1, 2, 4, 5, 10, 20.
Answer would be 4.
5.) 14: 1, 2, 7, 14.
28: 1, 2, 4, 7, 14, 28.
Answer would be 14.
Step-by-step explanation:
Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.
Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?
No. There are x values which map to more than 1 y-value.
Yes. Every y-value maps to exactly 1 x-value.
No. There are y-values which map to more than 1 x-value.
Yes. Every x-value maps to exactly 1 y-value.
No, there are x values which map to more than 1 y-value.
Given that Matthew examines the relation as shown in the below.
{(4, -11), (3,1), (0,1), (2,6), (3, -1)}
We need to check whether the relation is a function or not,
So, we know that,
A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.
If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.
Here we can see that the y values are repeated, so it is not a function.
Learn more about functions click;
https://brainly.com/question/31062578
#SPJ1
Identify two Pythagorean triples using the known triple 9, 40 , 41. *
Your answer
Step-by-step explanation:
\( {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681\)
SO BAD RN SMH SMH...HELP ME WITH MATH
4 x 2 - 5 + 63 + 1 =
Answer:
67
Step-by-step explanation:
4x2= 8-5= 3 + 63 = 66 + 1 = 67
Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2
The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.
To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:
Step 1: Find the mean (average) of the data set.
Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5
Step 2: Calculate the difference between each data point and the mean.
Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|
Step 3: Calculate the absolute value of each difference.
Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10
Step 4: Find the average of the absolute differences.
MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20
The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.
For more such questions on mean absolute deviation
https://brainly.com/question/29545538
#SPJ8
VPSB Social Studies 6 Q3-2022 (HOMEBOUND)
Which of the following buildings do you think represents the influence of ancient Greek culture?
SUPT.
Intro
Photo by Angus Cepka
0000
50f5
Photo by Daniel Schwen
O
Done
Bentley Dyson
The buildings that represent the influence of ancient Greek culture are -
THE PARTHENONTEMPLE OF OLYMPIAN ZEUSERECHTHEIONGREAT THEATER OF EPIDAURUSWhat is Ancient Greek Culture like?Greece is a collectivist society in the sense that there is strong loyalty shown to familial and social groups. The social life of many Greeks is usually kept to a close circle of family and friends. These personal relationships are deeply important to people's day-to-day life.Given are the buildings from Ancient Greek Culture.
The buildings that represent the influence of ancient Greek culture are -
THE PARTHENONTEMPLE OF OLYMPIAN ZEUSERECHTHEIONGREAT THEATER OF EPIDAURUSTherefore, the buildings that represent the influence of ancient Greek culture are -
THE PARTHENONTEMPLE OF OLYMPIAN ZEUSERECHTHEIONGREAT THEATER OF EPIDAURUSTo solve more questions on Ancient Greek Culture, visit the link below -
https://brainly.com/question/901951
#SPJ1
Please answer this correctly
true or false HELP me
Answer:
True
Step-by-step explanation:
Find m and c for this line
Y+3x=1
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
Learn more about the unit rate at:
https://brainly.com/question/28572142
the distribution of height for a certain population of women is approximately normal with mean 65 inches and standard deviation 3.5 inches. consider two different random samples taken from the population, one of size 5 and one of size 85.
Both the given distributions are approx. normal with the same mean. The standard deviation for size 85 is less than that for size 5. Hence, option C is the required correct answer.
The mean of the sampling distribution of the mean of samples (i.e. the distribution of the sample means for different samples of the same size taken from the same population) is equal to the population mean (in this case, 65 inches). Both distributions will have the same mean, regardless of sample size.
However, the standard deviation of the sampling distribution of the sample mean is not the same as the population standard deviation. As the sample size increases, the standard deviation of the sampling distribution of the sample mean decreases.
The standard deviation of the sampling distribution of the sample mean for a sample of size n is equal to the population standard deviation divided by √n.
So here, the standard deviation of the sampling distribution of the sample mean for size 85 will be smaller than the standard deviation of the sampling distribution of the sample mean for size 5.
Read more about standard deviation:
brainly.com/question/24298037
#SPJ4
The complete question is -
The distribution of height for a certain population of women is approximately normal with mean 65 inches and standard deviation 3.5 inches. Consider two different random samples taken from the population, one of size 5 and one of size 85. Which of the following is true about the sampling distributions of the sample mean for the two sample sizes?
A.) Both distributions are approximately normal with mean 65 and standard deviation 3.5.
B.) Both distributions are approximately normal. The mean and standard deviation for size 5 are both less than the mean and standard deviation for size 85.
C.) Both distributions are approximately normal with the same mean. The standard deviation for size 5 is greater than that for size 85.
D.) Only the distribution for size 85 is approximately normal. Both distributions have mean 65 and standard deviation 3.5.
E.) Only the distribution for size 85 is approximately normal. The mean and standard deviation for size 5 are both less than the mean and standard deviation for size 85.
6. A Two-story building measures 21 root
from the ground. A scale model shows the
building to be 3 inches fall. How many inches
would an 84 foot bullding be in the model?
Answer:
1008 in
Step-by-step explanation:
84x12=1008
84 feet times 12 inches because 12 inches is a foot.
so 84 feet times 12 inches gets your answer. 84 times 12=1008
make sense?
Answer:
12 inches
Step-by-step explanation:So, we are going to let "x" be the height inches (in the model) of a 84 foot building.
According to the information that was given we know that the height of a two-story building is 21 feet and in the scale model its height is 3 inches.Knowing this, we can set up the following proportion:
3/21 = x/84
The final step is to solve for "x" in order to calculate its value. We get that this is: 3/21 =x/84
(84) (3/21) = x
So , an 84 foot building will be 12 inches tall in the model.
(when I do the "3/21 it doesn't mean divide it's a fraction"
Find m angle c 14.5in 97.5 degrees and 13.7in (please solve step for step pleasee )
Based on law of sine, the value of angle C is equal to 94.5 degree.
For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)
\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)
we have, by law of sines,
We will use the law of sines to find c as;
sin c sin 97.5
--------------- = -------------
14.5 13.7
(13.7)sin c= 14.5 sin 97.5
sin c = 14.5 sin 97.5 / (13.7)
sin c = - 0.1168
Angle c = 94.5
Learn more about law of sines here:
https://brainly.com/question/17289163
#SPJ1
write 804 billion in ordinary decimal notation and in scientific notation
Answer:804,000,000,000 & 8.0e+11
Step-by-step explanation:
logic
HELP ME OUT PLEASE!
What is the equation of this line?
3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
Brett and Andy applied for the same credit card from the same bank. Brett was given a card with an APR of 12.6%. What was his monthly percentage rate? Andy was given a card with an APR of 16.2% what was his monthly percentage rate? if each of them had an average daily balance of $7,980, and had to pay a finance charge, how much more would. Andy pay than Brett?
Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.
To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.
For Brett:
APR = 12.6%
MPR = 12.6% / 12 = 1.05%
For Andy:
APR = 16.2%
MPR = 16.2% / 12 = 1.35%
Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.
For Brett:
Finance charge = $7,980 * 1.05% = $83.79
For Andy:
Finance charge = $7,980 * 1.35% = $107.73
To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:
Difference = $107.73 - $83.79 = $23.94
For more such on questions on percentage
https://brainly.com/question/30744872
#SPJ8