36 fifth graders are on a team with the same number on students on each team, if there are more then then 1 but less then 20 teams, how many students can be on each team?
Answers
Depending on the number of teams, the possible numbers of students per team are in the set:
{2, 3, 4, 6, 9, 12, 18}
How many students can be on each team?
We know that there are 36 students divided equally into N teams.
Such that the number of teams is larger than 1 and smaller than 20.
Then we could have 2 teams, such that the number of students in each team is given by the quotient between the total number of students and the number of teams.
36/2 = 18
There are 18 students in each team.
Notice that the numbers of teams can only be factors of 36, where:
36 = 6*6 = 2*2*3*3
So the factors are:
2, 3, 2*3, 3*3, etc...
If there are 3 teams we have:
36/3 = 12 students per team.
If there are 6 teams we have:
36/6 = 6 students per team.
if there are 9 teams:
36/9 = 4 students per team.
If there are 12 teams:
36/12 = 3 students per team.
If there are 18 teams:
36/18 = 2 students per team.
These are all the possibilities.
If you want to learn more about factors:
https://brainly.com/question/219464
#SPJ1
Related Questions
Learn
Dotebook
1. Mario has 12 boxes of pizza He cut each pizza into eights. How mar
pieces of pizza will there be?
Answers
Answer: 96 slices
Step-by-step explanation:
Someone help me pls!
3 + |x - 4| > 1
Answers
Answer:
true for all x or AllRealNumbers
Step-by-step explanation:
Suppose f(x) = - 3x² + 9x − 2. Compute the following:
A.) ƒ( − 2) + f(1) =
B.) ƒ( − 2) – ƒ(1) =
Answers
Step-by-step explanation:
\( f(x) = - 3 {x}^{2} + 9x - 2\)
A) f(-2) + f(1) = -32 + 4 = -28
B) f(-2) - f(1) = -32 - 4 = -36
An object of height 2.8 cm is placed 5.0 cm in front of a converging lens of focal length 20 cm and observed from the other side. Where and how large is the image?
Answers
The image is located 6.7 cm behind the lens, and is 3.7 cm tall (1.34 times the height of the object).
Using the thin lens equation, we can find the position of the image formed by the lens:
1/f = 1/d0 + 1/di
where f is the focal length of the lens, d0 is the object distance (the distance between the object and the lens), and di is the image distance (the distance between the lens and the image).
Substituting the given values, we get:
1/20 = 1/5 + 1/di
Solving for di, we get:
di = 6.7 cm
This tells us that the image is formed 6.7 cm behind the lens.
To find the height of the image, we can use the magnification equation:
m = -di/d0
where m is the magnification (negative for an inverted image).
Substituting the given values, we get:
m = -(6.7 cm)/(5.0 cm) = -1.34
This tells us that the image is 1.34 times the size of the object, and is inverted.
Know more about lens here:
https://brainly.com/question/29834071
#SPJ11
The negative sign indicates an inverted image. Thus, the image formed is located 8.0 cm from the lens and has a height of 1.6 times that of the object, making it 4.48 cm in height.
In this scenario, an object with a height of 2.8 cm is positioned 5.0 cm in front of a converging lens with a focal length of 20 cm. To determine the location and size of the image formed by the lens, we can use the lens formula and magnification formula.
The lens formula states that 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance. Substituting the given values into the lens formula, we find:
1/20 = 1/v - 1/(-5.0)
Simplifying this equation yields:
1/v = 1/20 + 1/5.0
Solving for v, we obtain:
v = 8.0 cm
The positive value indicates that the image is formed on the opposite side of the lens. The magnification formula, M = -v/u, allows us to calculate the magnification of the image:
M = -8.0/-5.0 = 1.6
To learn more about height :
https://brainly.com/question/28990670
#SPJ11
what is the area of triangle EDF?
Answers
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
Select the correct answer.
Which expression represents a quadratic expression in complete factored form?
Α.
(x + 4)(x-3)
B.
(2x+4)(x+3)
C.
(x - 1)(3x-9)
D.
(x-2) + (x + 3)
Answers
Answer:
C. (x + 4)(x − 3)
Step-by-step explanation:
A quadratic expression in complete factored form can be written as the product of two linear factors, where each factor is in the form of (ax + b). The expression (x + 4)(x - 3) is in this form and can be expanded to the quadratic expression x^2 + x - 12.
Option A is a sum of two linear expressions, but it is not factored. Option B is a product of two linear expressions, but it can be simplified to the quadratic expression 3x^2 - 3x. Option D is a product of two linear expressions, but it can be simplified to the quadratic expression 2x^2 + 10x + 12.
Which equation is an identity?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
2x + 3 =1/2 (4x + 2) + 2
1/3(6x – 3) = 3(x + 1) – x – 2
Answers
Answer:
C. 2x+3+1/2 (4x+2)+2Step-by-step explanation:
This is the answer
The washer in the image has an inner diameter of 1/4 inch. The outer diameter measures 3/4 inch, and the washer is 1/4 inch thick. The density of the metal that washe
made ofis 0.285 pounds per cubic inch. What would the weight of 5 washers be in pounds?
Answers
Answer:
0.14 lb . . . closest choice is 0.11 lb
Step-by-step explanation:
The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...
A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches
The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...
V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches
The weight of material is the product of volume and density, so is ...
W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb
_____
Comment on the question
Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)
The weight of 5 washers is required.
The weight of the 5 washers is 0.56 pounds
DensityR = Outer diameter = 3/4 inch
r = Inner diameter = 1/4 inch
h = Height of washer = 1/4 inch
\(\rho\) = Density of metal = 0.285 pounds per cubic inch
The volume of the washer is
\(V=\pi R^2h-\pi r^2h\\\Rightarrow V=\pi h(R^2-r^2)\)
Mass is given by
\(m=V\rho\\\Rightarrow m=\pi h(R^2-r^2)\rho\\\Rightarrow m=\pi \dfrac{1}{4}((\dfrac{3}{4})^2-(\dfrac{1}{4})^2)\times 0.285\\\Rightarrow m=0.1119\ \text{pounds}\)
For 5 washers
\(5\times 0.11=0.5595=0.56\ \text{pounds}\)
Learn more about density:
https://brainly.com/question/6838128
What are the domain and range of f(x)=3(x−15)2+27? It is a drag an drop.
Answer 1. All real numbers
Answer 2. x≥15
Answer 3. f(x)≥15
Answer 4. x≥27
Answer 5. f(x)≥27
Answers
Answer:
1. All real numbers
Step-by-step explanation:
Simplifies to f(x) = 6x - 63, it will cross all x and y values.
The domain and range of the given function are all real numbers
We have given that,
f(x)=3(x−15)2+27
f(x)=(3x-45)2+27
f(x)=6x-90+27
What is the domain?The domain is the set of points at which the function is defined.
What is the range?
The range of a set of data is the difference between the largest and smallest values. The difference here is specific, the range of a set of data is the result of subtracting the sample maximum and minimum.
To f(x) = 6x - 63, it will cross all x and y values.
To learn more about the domain range visit:
https://brainly.com/question/1942755
#SPJ2
round to the nearest 10th (-1 , 4) and (1 ,-1)
Answers
Answer:
hehhfhrhrjrhrh
Step-by-step explanation:
jfjfjurufurufufjfufuhfhfjfirjfujrjfirkfkhu is the term-to-term of all 4x 4 in a number subtract and its own in an expression 6.40 is the term-to-term of all that they are students to the people who is the true and their family sense TTYL their minds to the people who is the term-to-term
(0)
A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution.
Distribution: 0.1875, 0.25, 0.25, 0.3125
Observed frequencies: 19, 21, 20, 36
Significance level = 0.05
Determine the null and alternative hypotheses. Choose the correct answer below.
A: H0: The distribution of the variable differs from the given distribution.
Ha: The distribution of the variable is the same as the given distribution.
B. H0: The distribution of the variable differs from the normal distribution.
Ha: The distribution of the varibale is the normal distribution.
C. The distribution of the variable is the same as the given distribution.
Ha. The distribution of the variable differs from the given distribution.
D. The expected frequencies are all equal to 5.
Ha: At least one expected frequency differs from 5.
Answers
The correct answer is: A: H0: The distribution of the variable differs from the given distribution. Ha: The distribution of the variable is the same as the given distribution.
In this chi-square goodness-of-fit test, we want to determine whether the observed frequencies significantly differ from the expected frequencies based on the given distribution.
The null hypothesis (H0) assumes that there is a difference between the observed and expected frequencies, indicating that the distribution of the variable differs from the given distribution.
The alternative hypothesis (Ha) suggests that there is no significant difference between the observed and expected frequencies, meaning that the distribution of the variable is the same as the given distribution.
Looking at the answer choices, the correct option is A: H0: The distribution of the variable differs from the given distribution. Ha: The distribution of the variable is the same as the given distribution.
This aligns with the standard setup for a chi-square goodness-of-fit test, where we test whether the observed frequencies fit the expected distribution or not. The other answer choices do not accurately represent the null and alternative hypotheses for this test.
C. The distribution of the variable is the same as the given distribution.
Ha. The distribution of the variable differs from the given distribution.
This option incorrectly states the null and alternative hypotheses for the chi-square goodness-of-fit test.
In a chi-square goodness-of-fit test, the null hypothesis (H0) assumes that the distribution of the variable differs from the given distribution. Therefore, option C contradicts the definition of the null hypothesis. The correct null hypothesis is that the distribution of the variable differs from the given distribution.
Learn more about chi-square here: https://brainly.com/question/31871685
#SPJ11
Find the quotient of 2.9x10 and 4x10.-9
Answers
Answer:
??
2.9×10 = 29
4×10.-9 =31
Can someone help me out???
How could you use the hexagon you constructed to create a 12-sided figure?
Answers
Answer:
to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.
Step-by-step explanation:
Braxton opened up his checking account with $500. On Monday, he withdrew $120 to purchase a pair of shoes. On Wednesday, he deposited a $50 check he received for school supplies from his Aunt Becky. On Friday, he used his debit card to buy a $5 basketball ticket. What is Braxton's checking account balance now?
Answers
Answer:
$425
Step-by-step explanation:
subtract 120 and 5 from his starting total to get how much he has after all his purchases. Then add 50 to that total to get your answer.
if a figure can be rotated 360° to be mapped onto itself, is it considered to have rotational symmetry? explain.
Answers
Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.
This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.
To know more about symmetry visit:
https://brainly.com/question/29044130
#SPJ11
Data were collected on the distance a hockey puck will travel when hit by a hockey stick at a certain speed. The speed, s, is measured in miles per hour, and distance, y, is measured in
yards. The regression line is given by 9 = 3.12 +61.02s.
Identify the slope and y-intercept of the regression line
Answers
The slope of the regression line is b=61.02 and y-intercept is a=3.12
What is meant by regression?Regression analysis is a set of statistical processes used to estimate the relationships between a dependent variable and one or more independent variables. Linear regression is the most popular type of regression analysis, in which one finds the line (or a more sophisticated linear combination) that best fits the data according to a certain mathematical criterion. The ordinary least squares method, for example, finds the unique line (or hyperplane) that minimizes the sum of squared discrepancies between the genuine data and that line (or hyperplane). This enables the researcher to estimate the
Given,
The regression line is y=3.12+61.02 s
Here the slope is b=61.02
The slope indicates that the distance is increased by 61.02 yards for every one mile per hour of the speed.
And the y-intercept is a=3.12
It is the distance estimated by this model if the speed is zero miles per hour.
To know more about regression line, visit:
https://brainly.com/question/14313391
#SPJ1
Give an example of a 2x2 matrix whose
determinant is 13.
Answers
Answer:
The method for appearing with numbers for the 2x2 matrix whose determinant is 13 is clarified.
Step-by-step explanation:
Determinant of 2×2 matrix
If we have a 2×2 matrix A of the form;
A =
\binom{a \: \: \: b}{c \: \: \: d}(
cd
ab
)
The determinant of the matrix is;
|A| = (a.d) - (b.c)
Therefore, to appear with numbers for a, b, c, and d, we must ensure; (a.d) - (b.cdeterminantse, if a = 3, d = 15, b = 2, and v = 1.
Ultimately, |A| = (3×5) - (2×1) = 13
Calculator
40%Increased in 360
Answers
Answer:
504
Step-by-step explanation:
40%=.40
360*.40=144
original number + increase = x
360+144=504
expand and simplify= a+3b-(5a-4b)
expand and simplify= x/3+2x-5/3
who ever gives correct ans with solution i will mark brainliest
Answers
Answer:
1= -4a+7b
2=(7x-5)/3
Step-by-step explanation:
1,
a+3b-(5a-4b)
expand bracket 1st according to BIDMAS
a+3b-5a+4b
collect like terms
a-5a+3b+4b
ans=-4a+7b
2,
X/3+2x-5/3
solve for the 1st two
X/3 +2x
LCM =3 so,
(x+6x)/3=7x/3
use this and solve the last part
(7x/3)-(5/3)
LCM=3
ans=(7x-5)/3
Can you help me solve this!
Answers
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches
Heeeeelp pleaseeeee I will mark brainliest (if the answer is right)
Answers
Answer:
p = 6
Step-by-step explanation:
The slope equation is:
\(m = \frac{y \frac{}{2} - y \frac{}{1} }{x \frac{}{2} - x \frac{}{1} } \)
then to know the value of "p":
\( - \frac{1}{3} = \frac{7 - p}{p - 9} \\ - 1(p - 9) = 3(7 - p) \\ - p + 9 = 21 - 3p \\ 3p - p = 21 - 9 \\ 2p = 12 \\ p = \frac{12}{2} \\ p = 6\)
solve:4^x-2+2*2^2x-1=1 whole 1/6
Answers
Answer:
64
Step-by-step explanation:
)3£56::?£
yerk
v hi is
)(5_-
what value of expression when y=4
3y^2+y+8
Answers
Answer:
Not to sure, but I have two answers
Step-by-step explanation:
3y (squared 2) + 1 + 8 or
3y (squared 2) + 5 + 8
(sorry if you get it wrong, not so good at mathś)
What integer is equivalent to 253?
Answers
The binary equivalent of decimal number 253 is 11111101.
Evaluate the expression \dfrac{5\cdot x^3}{x^2} x 2 5⋅x 3 start fraction, 5, dot, x, cubed, divided by, x, squared, end fraction for x=2x=2x, equals, 2.
Answers
Answer:
10
Step-by-step explanation:
Given the expression:
(5 * x³) / x² ; for x = 2
Simplifying (5 * x³) / x²
5 * x^(3-2)
5 * x^1
= 5x
For x = 2
5x = 5*2 = 10
What determines which numerical measures of center and spread are appropriate for describing a given distribution of a quantitative variable? Which measures will you use in each case?
Answers
The appropriate numerical measures of center and spread to describe a given distribution of a quantitative variable depend on the shape, symmetry, and presence of outliers in the data.
Measures of center include mean, median, and mode. The mean is affected by extreme values, while the median is resistant to outliers. The mode is useful when looking for the most common value or values in a distribution.
Measures of spread include range, interquartile range (IQR), variance, and standard deviation. The range is the difference between the maximum and minimum values, but it is sensitive to outliers. The IQR is the range of the middle 50% of the data and is resistant to outliers. Variance and standard deviation both measure the spread of the data around the mean, with the variance being the average squared deviation from the mean and the standard deviation being the square root of the variance.
In general, if the data is approximately symmetric and without outliers, the mean and standard deviation are appropriate measures of center and spread, respectively.
If the data is skewed or has outliers, the median and IQR are more appropriate. If the distribution has multiple modes, the mode may be useful to describe the distribution, but it should be used with caution as it may not be unique or well-defined for certain distributions.
Ultimately, the choice of measures of center and spread depends on the characteristics of the data and the research question being investigated. It is always a good practice to use multiple measures of center and spread and to visualize the distribution of the data using histograms or boxplots to gain a better understanding of the data.
Learn more about numerical measures of center here brainly.com/question/13460773
#SPJ4
Can someone help me understand this?? I ended up getting 594 and that’s not even an option!
Answers
Answer:
Option D
Step-by-step explanation:
I am taking a guess here, but since the volume of the rectangle part is 594, and it is sort of a similar size as the top part, then I assume it is D.
Let me know how it goes.
Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answers
Answer:
A. 9.6
B. √92
Step-by-step explanation:
A.Rational: 9.6. It is rational because it is a terminating decimal number.
__
B.Irrational: √92 ≈ 9.59166.... It is irrational because it is the square root of an integer that is not a perfect square. All such square roots are irrational.
_____
Additional comment
In general, the n-th root of an integer that is not a perfect n-th power will be irrational. For example, ∛885 ≈ 9.600954766... is irrational, because 885 is not a perfect cube. (9³=729, 10³=1000)
Trig functions of (non-zero) rational angles in radians will be irrational. For example, tan(1.467) ≈ 9.5996286... is irrational.
The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The area of the resulting rectangle is 90 ft2. Find the original area of the square.
Answers
Answer:
64 ft^2
Step-by-step explanation:
It is a square to start, so each side = x
then (x+7 ) * ( x -2) = 90
x^2 + 5x -14 = 90
x^2 + 5x - 104 = 0 factor or use Quadratic Formula to fin x = 8 ft
Original area is then 8 x 8 = 64 ft^2
what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
Answers
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4