the average number of students in three classrooms was 24. altogether how many srudents were in the three classrooms
Answers
The total number of students in the three classrooms was 72.
Given, The average number of students in three classrooms was 24.
We can use the formula of Average = (Sum of the values) / (Total number of values)
By applying this formula let us find the sum of the values.
Sum of the values = Average × Total number of values= 24 × 3= 72
Therefore, the answer is 72. You can include more points and explanations in your answer if required.
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Related Questions
Suppose that, for two populations, the distributions of the variable under consideration have the same shape. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. In each case, decide whether you would use the pooled t-test or the Mann-Whitney test and give a reason for your answer.
a. You know that the distributions of the variable are normal.
b. You know that the distributions of the variable are not normal.
a. Choose the correct answer below.
A. Use the Mann-Whitney test. It is slightly more powerful than the pooled t-test when the conditions of normal distributions and equal standard deviations are met.
B. Use the pooled t-test, because the Mann-Whitney test cannot be used on normally distributed data.
C. Use the Mann-Whitney test, because the pooled t-test cannot be used on normally distributed data.
D. Use the pooled t-test. It is slightly more powerful than the Mann-Whitney when the conditions of normal distributions and equal standard deviations are met.
b. Choose the correct answer below.
A. Use the pooled t-test test, since the Mann-Whitney test cannot be used on data that are not normally distributed.
B. Use the Mann-Whitney test, since the distributions have the same shape, and the distributions are not normal.
C. Use the Mann-Whitney test, since the distributions have the same shape, and the pooled t-test cannot be used on data with equal standard deviations.
D. Use the pooled t-test test, since the distributions have the same shape, and the distributions are not normal.
Answers
When comparing the means of two populations using hypothesis testing, the choice between the pooled t-test and the Mann-Whitney test depends on the nature of the populations' distributions. Let's explore both scenarios:
a. The correct answer is D. Use the pooled t-test. When the distributions of the variable are normal and have the same shape, the pooled t-test is appropriate for comparing the means of the two populations.
The pooled t-test assumes normality, and when the distributions are normal, it provides slightly more statistical power compared to the Mann-Whitney test. The assumption of equal standard deviations between the populations is also necessary for using the pooled t-test.
b. The correct answer is B. Use the Mann-Whitney test since the distributions of the variable are not normal and have the same shape.
The Mann-Whitney test is a nonparametric test that does not require the assumption of normality. It is suitable for comparing the means of two populations when the distributions are not normal.
As the question states that the distributions have the same shape, the Mann-Whitney test can be used to test for a difference in the population means.
The pooled t-test assumes normality, and since the distributions are not normal, it is not appropriate to use in this case.
The Mann-Whitney test is a nonparametric test that does not require normality assumptions, and can be used to compare the medians of two populations based on independent samples.
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The vertices of a quadrilateral pqrs lie on circle k. let x be the point on k such that qx bisects angle pqr. let y be the point on k such that xy is a diameter. prove that sy bisects angle psr.
Answers
Line SY bisects angle PSR. To prove that line SY bisects angle PSR, we can use the property that an angle inscribed in a circle is half the measure of the intercepted arc. Here's the proof:
Since XY is a diameter, it subtends a 180-degree angle at any point on the circle. Therefore, angle QXY measures 180 degrees.
Angle PQY is an inscribed angle, and its measure is half the intercepted arc PQ. Similarly, angle YSR measures half the intercepted arc SR.
Since angle QXY is 180 degrees and angle PQY and angle YSR are half of their respective intercepted arcs, the sum of angles PQY and YSR must be 180 degrees.
Therefore, angle PQY and angle YSR are equal, and since angle PQY is congruent to angle PQS (as QX bisects angle PQR), it follows that angle YSR is congruent to angle PSR.
Hence, we have proved that line SY bisects angle PSR.
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Gerard wrote down the sum of squares of two (23?)2 + (1?2)² = 7133029 numbers, as shown. Unfortunately some of the digits cannot be seen because they are covered in ink. What is the last digit of the first number? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answers
Answer:
We know that (23x)² + (1y)² = 7133029. From the right hand side of the equation, we can see that the last digit of 7133029 is 9. Using this information, we can deduce that the last digit of (23x)² must be 9, because (1y)² can only end in 1, 4, 5, 6 or 9.
Now we know that the last digit of (23x)² is 9 and the last digit of 23x is 3. Therefore the last digit of x is 3.
So, the last digit of the first number is 3. And the answer is (A) 3
For which pair of triangles would you use sas to prove the congruence of the 2 triangles?.
Answers
Triangles are said to be congruent if two of their sides and the included angle are the same as their corresponding sides and angles of another triangle.
what is SAS ?When determining if a set of triangles is congruent, the Side-Angle-Side rule is utilized. According to the SAS rule, triangles are congruent if their two sides and included angles are the same as those of another triangle.
If two sides and an included angle of one triangle are equal to the sides and an included angle of the second triangle .
Then two triangles are said to be congruent according to the SAS. According to SAS theorem of congruence, two triangles are congruent if the corresponding two sides and their included angles in one triangle .
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True or false WXY is a right triangle.
Answers
Answer: True
Step-by-step explanation:
This triangle has 2 legs
leg a and leg b
and the longest side which is called the hypotenuse
Therefore this triangle fits the criteria of a right triangle
The triangle ΔWXY is a right angle triangle with sides √18 , √18 , √36
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the triangle be ΔWXY
Now , the sides of the triangle is
WX = √36
WY = √18
XY = √18
Now , for the triangle WXY to be a right angle triangle
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the value in the equation , we get
WX² = XY² + WY²
( √36 )² = ( √18 )² + ( √18 )²
36 = 18 + 18
36 = 36
Therefore , it is a right angle triangle
Hence ,
The triangle ΔWXY is a right angle triangle
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(10 pts) Order the following three functions so that each one is Big-Oh of the next one. Justify your answer: (logn) 2
n
4 log n
n
logn Your answer will have a list of the three functions and arguments that the first in the list is Big-Oh of the second, and the second in the list is Big-Oh of the third.
Answers
The three functions that need to be ordered so that each one is Big-Oh of the next one are given below : log n2n4 log n nlog The correct order of these functions would be: nlog(n) << n^(1/2) << n^2 << n^(log(n)) << 2^n
Justification: To determine the order of these functions, let's first compare log n2 with n. As n tends to infinity, n increases much faster than log n2. Thus, n is the Big-Omega of log n2. We can write it as: log n2 = O(n).Next, let's compare n with 4 log n.
For large values of n, the term 4 log n is much smaller than n. Therefore, we can say:n = O(4 log n)Next, we need to compare 4 log n with nlogn. Using logarithmic identities, we can write 4 log n as log n^4. Now, let's compare this with nlogn:log n^4 = 4 log n = O(n log n)
Hence, we can say that 4 log n is Big-Oh of nlogn. Now, we need to compare nlogn with n^(logn). One way to compare these two functions is to take their ratio and see what happens as n tends to infinity: lim n→∞ (nlogn / n^(logn))= lim n→∞ (n^logn / n^(logn))= lim n→∞ n^0= 1
Thus, we can say that nlogn is Big-Oh of n^(logn).
Hence, the correct order of these functions is:log n2 << n << 4 log n << nlogn << n^(logn).
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Determine whether the data set is a population or a sample. Explain your reasoning. The number of cars for 10 households in a neighborhood of 30 households Choose the correct answer below. A. Sample, because it is a collection of the number of cars for all households in the neighborhood, but there are other neighborhoods. B. Population, because it is a subset of all households in the neighborhood C. Population, because it is a collection of the number of cars for all households in the neighborhood. D. Sample, because the collection of the number of cars for 10 households is a subset of all households in the neighborhood.
Answers
The data set is D. a sample, because it only includes the number of cars for 10 households in a neighborhood of 30 households. A sample is a subset of a population, and in this case, the population would be all households in the neighborhood. Therefore, option D is the correct answer.
The given data set is a sample because it only represents the number of cars for 10 households in a neighborhood that has a total of 30 households.
A sample is a subset of a population, and in this case, the population would be all households in the neighborhood. The fact that the data set only represents a portion of the total households in the neighborhood indicates that it is not a complete representation of the entire population.
Therefore, option A and C can be eliminated as they describe a complete collection of data for the entire population. Option B can also be eliminated because the data set only represents a portion of the households in the neighborhood, not all of them.
Option D is the correct answer because it accurately describes that the data set is a subset of the entire population of households in the neighborhood.
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The correct answer is D. Sample, because the collection of the number of cars for 10 households is a subset of all households in the neighborhood.
The data set "The number of cars for 10 households in a neighborhood of 30 households" is a sample.
A sample is a subset of a larger population, and in this case, the data set represents information from only 10 out of the 30 households in the neighborhood. It is not an exhaustive collection of all households in the neighborhood, but rather a smaller group selected from the larger population.
Option D is the correct answer: "Sample, because the collection of the number of cars for 10 households is a subset of all households in the neighborhood."
To further clarify, a population would encompass all households in the neighborhood, while a sample represents a smaller group of households within that population. In this case, the data set provides information from a limited number of households, making it a sample rather than a complete representation of the entire neighborhood.
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The population on a certain island increased from 1500 in 2000 to 1577 in 2001 a. Determine the growth rate b. Write a general equation for the popolation p(t) c. Estimate the population in 2010 d. How many years will it take for the population to double?
Answers
Therefore, it will take approximately 13.7 years for the population to double.
a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:
Growth Rate = (New Value - Old Value) / Old Value * 100
Using the given values, we have:
Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%
b. To write a general equation for the population, you can use the formula:
p(t) = p(0) * (1 + r/100)^t
where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.
c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:
p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4
Therefore, the estimated population in 2010 is approximately 2465.
d. To find out how many years it will take for the population to double, we need to solve the equation:
2 * p(0) = p(0) * (1 + r/100)^t
Simplifying the equation, we have:
2 = (1 + r/100)^t
Taking the logarithm of both sides, we get:
log(2) = t * log(1 + r/100)
Finally, solving for t, we have:
t = log(2) / log(1 + r/100)
Substituting the growth rate from part a, we have:
t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years
Therefore, it will take approximately 13.7 years for the population to double.
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(6 ten thousands 5 hundreds) × 10 =
Answers
The value of (6 ten thousands 5 hundreds)×10 is 6005000.
What is the place value?The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its position in the number, which might result in a number having two comparable digits with distinct values.
Given that, (6 ten thousands 5 hundreds)×10
Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Now, 6 ten thousands
= 6×10000
= 60000
5 hundreds
= 5×100
= 500
Here, (6 ten thousands 5 hundreds)
= 60000+500
= 600500
So, (6 ten thousands 5 hundreds)×10 =600500×10
= 6005000
Therefore, the value of (6 ten thousands 5 hundreds)×10 is 6005000.
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Roberto wants to build a wooden box with a volume of 8 cubic feet. How many different boxes , all with whole number dimensions and a different size base, will have a volume of 8 cubic feet?
Answers
the larger of two numbers is 10 less than twice the smaller number, if the sum of two number is 38,find the two numbers
Answers
Answer:
2numbers of tens and need to be the best
Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1
Answers
The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
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Graph y+6=45(x+3) using the point and slope given in the equation. Use the line tool and select two points on the line.
Answers
Answer:
Step-by-step explanation:
We are given the equation y+6 = 45(x+3).
On simplifying the equation we get,
y+6 = 45x + 45×3
i.e. y+6 = 45x + 135
i.e. y = 45x + 129.
Now, x = 0 gives y = 129 and y = 0 gives x = -2.867.
The general form of a straight line is given by y = mx + c, where m is the slope and c is the y-intercept.
So, on comparing, the slope of given equation is m = 45.
Plotting this straight line y = 45x + 129 on the graph gives the following figure.
The two points selected on the graph are (0,129) and (-2.867,0).
Which expression represents a difference of squares? A. 4x2 − 16x B. t2 + 100 C. 25k − 64 D. 81 − 49y2
Answers
Answer:
I believe it would be C, not 100% sure though
Answer:
81-49y^2
Step-by-step explanation:
i do not know the answer to this equation √56245
Answers
Answer: 237.160283353
Step-by-step explanation:
Answer:
the answer is 237.1602834
source: Calculator
Please click each true statement that describes a normal distribution.Check All That Applya. Skewedb. Symmetricalc. Bell-shapedd. Asymptotice. Uniform
Answers
The following are the actual statements that describe a normal distribution:
b. Symmetrical
c. Bell-shaped
d. Asymptotic
Describe the term normal distribution?A typical dispersion is a likelihood circulation that is balanced and ringer molded, with most perceptions grouped around the mean and less at the limits.
The following are the actual statements that describe a normal distribution:
b. Symmetrical
c. Bell-shaped
d. Asymptotic
A probability distribution that is symmetric around its mean is called a normal distribution. It is also known as a Gaussian distribution because it has a bell-shaped curve. The distribution's tails approach but never touch the x-axis, indicating that it is asymptotic. The appropriation isn't slanted or uniform.
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a technician must press a cable connector's retaining tab to remove a faulty fiber optic network cable. which of the following connectors does the cable use?
Answers
The cable connectors that requires pressing a retaining tab to remove the faulty fiber optic network cable is likely an SC (Subscriber Connector) connector.
The cable in question is likely using an SC (Subscriber Connector) connector. The SC connector is a commonly used fiber optic connector that features a push-pull mechanism with a retaining tab. To remove the faulty fiber optic network cable, the technician would need to press the retaining tab on the SC connector, which releases the connector from its mating receptacle.
The SC connector is known for its ease of use and high performance. It has a square-shaped connector body and utilizes a push-pull latching mechanism, which makes it convenient for installation and removal. By pressing the retaining tab, the technician can safely and efficiently disconnect the faulty fiber optic cable.
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find the standard deviations for the commercial buildings total assessed land value and total assessed parcel value, and the residential buildings total assessed land value and total assessed parcel value. which has the smallest standard deviation? select the correct answer below: commercial total assessed land value residential total assessed land value residential total assessed parcel value commercial total assessed parcel value
Answers
The residential buildings' total assessed land value has the smallest standard deviation.
To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.
Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.
In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.
Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.
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Question 13 (5 points)
Keith has $75 from a saved allowance. He needs at least $135 for a new pair of
sneakers. Keith needs no less than more to buy the sneakers.
A) $72
B) $60
O g) 878
D) $56
Question 14 (5 points)
help
Answers
keith has $75 he needs at least $135 for his new sneakers so you take $75 and subtract that from $135 and you get $60 .
convenience samples are never an appropriate choice for identifying research participants. True or false
Answers
False. Convenience samples are not always appropriate for identifying research participants, but they can be useful in some cases. For example, if a researcher is interested in studying a particular group of people, such as college students, then a convenience sample of college students may be appropriate. However, it is important to keep in mind that convenience samples are not representative of the general population, so the results of a study using a convenience sample may not be generalizable to the general population.
Here are some of the advantages and disadvantages of convenience samples:
Advantages:
Convenience samples are easy and inexpensive to collect.
Convenience samples can be collected quickly.
Convenience samples can be collected from a variety of locations.
Disadvantages:
Convenience samples are not representative of the general population.
Convenience samples may be biased towards certain groups of people.
Convenience samples may be difficult to generalize to the general population.
the black graph is the graph of y=f(x). choose the equation for the red graph
Answers
The equation for the red graph is , y = f(x +4) , Option D is the right answer.
What is a Function ?
A function is a mathematical statement that relates an independent variable and a dependent variable .
It is given that y = f(x)
It can be seen from the graph that the vertex is moved 4 units to the right ,
Which means the equation for the red graph is
y = f(x +4)
Therefore , Option D is the right answer.
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Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. Which ball rolled at a greater rate of speed?
Question 3 options:
A: white ball
B: green ball
C: The white and green ball rolled at the same rate of speed.
D: red ball
Answers
If Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. The ball that rolled at a greater is: B: green ball.
How to find the speed?Using this formula to find the fastest speed
White ball :
Speed for white ball = 143 centimeters /4 seconds
Speed for white ball = 34.75
Green ball:
Speed for green ball = 112 centimeters /3 seconds
Speed for green ball= 37.33
37.33 ≥ 34.75 which means that green ball is the fastest.
Therefore the correct option is B.
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You pick a card at random.
567
4 5
What is P(even)?
Write your answer as a percentage.
%
Answers
The probability of selecting an even number card is: 50%
What is the probability of selection?The number of the cards are given as:
4, 5, 6 and 7
Now, an even number are defined as any number that can be exactly divided by 2. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.
A number which is not divisible by “2” is called an odd number. An odd number always ends in 1, 3, 5, 7, or 9. Examples of odd numbers: 51 , − 543 , 8765 , − 97 , 9 , etc.
Thus, we have 4 cards and the even number are 2. Thus:
P(even) = 2/4 = 0.5
= 50%
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(5,-9); slope=2/5
Write in slope intercept form
Answers
Answer:
Y = 2/5x - 11
Step-by-step explanation:
(a) What is the Expected Value, if you guess at an answer. (b) If you do not know the correct answer to a particular question, is it to your advantage to guess?. (c) If you do not know the correct answer to a particular question but can eliminate one possible choice, is it to your advantage to guess?
Answers
The Expected Value of guessing at an answer is equal to the probability of getting the answer correct times the value of the question. If you do not know the correct answer to a particular question, it is to your advantage to guess.
(a) The Expected Value of guessing at an answer is equal to the probability of getting the answer correct times the value of the question. For example, if you have a 25% chance of getting a question worth 4 points correct, then the Expected Value of guessing at the answer is (0.25 x 4) = 1 point. Therefore, if you are penalized for incorrect answers, you should only guess when the Expected Value of guessing is positive.
(b) If you do not know the correct answer to a particular question, it is to your advantage to guess. This is because, even if you have no idea what the correct answer is, you still have a chance of getting it right. And, if you are penalized for incorrect answers, you should only guess when the Expected Value of guessing is positive.
(c) If you do not know the correct answer to a particular question but can eliminate one possible choice, it is to your advantage to guess. This is because, by eliminating one choice, you increase the probability of guessing the correct answer. And, if you are penalized for incorrect answers, you should only guess when the Expected Value of guessing is positive. Therefore, if you can eliminate one choice, it is always to your advantage to guess.
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There are 72 cars in the parking lot.If 54 leave the parking,what percentage of cars are left
Answers
Answer:
total cars= 72 cars
cars that left=54 cars
percentage of cars left=
\( \frac{54}{72 } \times 100 =0.75 \times 100 = 75\%\)
so the answer is 75%
The equation of the graphed line is 2x-3y=12 what is the x-intercept of the graph ?
Answers
Answer:
(6,0)
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
correct on edg :)
PLS HELP.... If 4x^2 + bx + 9 = 0, where b is the constant, has exactly one solution, what is a possible value of b ?
A. 72
B. 36
C. 12
D. 6
Answers
b^2 -4ac
“exactly one solution” means that it is equal to zero
so:
b^2 -4(4)(9)=0
b^2 -4(36)=0
b^2 -144=0
b^2=144
square root both sides
b=12 or -12
hope this helps !
Find the domain of the function. (enter your answer using interval notation. ) h(x) = 10 x2 − 6x
Answers
The domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.
Given function h(x)=\(10x^{2} -6x\).
We are required to find the domain of the given function.
Function is basically relationship between two or more variables that are expressed in equal to form. The values that we entered in the function are known as a part of domain and the values that we get from the function are known as a part of range of function.
The function is h(x)=\(10x^{2} -6x\).
We have not given any range of the function, so we donot know the limit under which the values of that function lies. Because we donot know the limit so we can put any real number in the function. So the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.
Hence the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.
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John's basketball coach decides that he will play only the first 3/4 of every game. If he starts 12 games, how much playing time does he get in terms of full games?
(please answer quick)