By solving the probability, the possible outcomes for 5 rolls of dice is 1048576 and the number of outcomes in which the 5 rolls produce five different numbers is 524160. Also the probability that at least 2 of the rolls are the same is 0.5314
How can one solve this probability?
Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.
(a) Since each roll can produce one of 16 possible outcomes, there are 16^5 = 1048576 possible outcomes for these 5 rolls.
(b) To count the number of outcomes in which the 5 rolls produce five different numbers, we need to use the principle of permutations. The first roll can produce any of the 16 possible outcomes, the second roll can produce any of the remaining 15 outcomes, the third roll can produce any of the remaining 14 outcomes, and so on. Therefore, the number of outcomes in which the 5 rolls produce five different numbers is:
16 x 15 x 14 x 13 x 12 = 524160
(c) To calculate the probability that at least 2 of the rolls are the same, we can use the complement rule: the probability of at least 2 rolls being the same is 1 minus the probability that all 5 rolls produce different numbers.
The probability that the first roll produces a unique number is 16/16 = 1. The probability that the second roll produces a number different from the first is 15/16, the probability that the third roll produces a number different from the first two is 14/16, and so on. Therefore, the probability that all 5 rolls produce different numbers is:
(16/16) x (15/16) x (14/16) x (13/16) x (12/16) = 0.4686
So, the probability that at least 2 of the rolls are the same is:
1 - 0.4686 = 0.5314 (rounded to 4 decimal places)
Learn more about probability here:
https://brainly.com/question/25870256
#SPJ1
The point (8,15) lies on the terminal side of the angle 8. Find sin(0).
Check the picture below.
let's find the hypotenuse
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{8}\\ o=\stackrel{opposite}{15}\\ \end{cases} \\\\\\ c=\sqrt{8^2+15^2}\implies \implies c=\sqrt{289}\implies c=17 ~\hfill \boxed{\sin( \theta )=\cfrac{\stackrel{opposite}{15}}{\underset{hypotenuse}{17}}}[/tex]
NEED HELP NOW PLS!!!!!!!
AB and AD are tangent to circle C. Find x.
Maureen bought 3/4 of a pound of small binder clips and 3/4 of a pound of jumbo binderclips. How much did she spend
If Alice has $50 and spends 4/5 of her money, she spends $40.
A fraction is a mathematical expression that represents a part of a whole or a ratio between two quantities. Fractions are commonly represented using two numbers separated by a horizontal line, where the top number is called the numerator and the bottom number is called the denominator.
Alice spends 4/5 of her money, which is equivalent to 0.8 of her money.
To find out how much Alice spends, we can multiply her total money ($50) by 0.8
= $50 x 0.8
Multiply the numbers
= $40
Therefore, Alice spends $40.
Learn more about fraction here
brainly.com/question/8482939
#SPJ4
I have solved the question in general, as the given question is incomplete.
The complete question is:
Alice has $50 and spends 4/5 of her money. How much does Alice spend?
2. A soil was found to have the following water retention characteristics:
Water content at -10 kPa (field capacity) = 0. 15 kg kg-1; water content at -1500 kPa (wilting point) = 0. 06 kg kg-1. The bulk density was found to be 1250 kg m-3. Assume the density of water to be 1000 kg m-3
The plant available water capacity and plant available water for the given density of water and bulk density of soil is equal to 0.09 m and 36mm respectively.
Water content at field capacity = 0.15 kg kg-1
Water content at wilting point = 0.06 kg kg-1
Bulk density of soil = 1250 kg m-3.
Density of water = 1000 kg m-3
The plant available water capacity (PAWC) is ,
PAWC = (water content at field capacity - water content at wilting point)
⇒PAWC = (0.15 kg kg-1 - 0.06 kg kg-1)
⇒PAWC = 0.09 m or 9 cm
Now, PAWC in depth units
= 0.09 m × Bulk density / density of water
= 0.09 × 1250 × 1000
= 112500m
The plant available water capacity (PAWC) of the soil is 112.5 mm
Rooting depth = 40cm
= 0.4 m
PAW = PAWC x rooting depth
⇒PAW = 0.09 kg kg-1 x 0.4 m
⇒PAW = 0.036 m
⇒ PAW = 36mm
The plant available water (PAW) for the crop is 36 mm.
Therefore, the plant available water capacity and plant available water
is equal to 0.09 m and 36mm.
Learn more about capacity here
brainly.com/question/31552235
#SPJ4
The above question is incomplete, the complete question is :
A soil was found to have the following water retention characteristics: Water content at -10 kPa (field capacity) = 0.15 kg kg-1; water content at -1500 kPa (wilting point) = 0.06 kg kg-1. The bulk density was found to be 1250 kg m-3. Assume the density of water to be 1000 kg m-3. 2.1 Calculate the plant available water capacity (PAWC), expressing your results in depth units. [2] 2.2 The crop growing in this field has a rooting depth of 40 cm. Calculate the plant available water (PAW) for this crop?
DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!! 20 POINTS
Students in a high school mathematics class decided that their term project would be a study of the strictness of the parents or guardians of students in the school. Their goal was to estimate the proportion of students in the school who thought of their parents or guardians as “strict”. They do not have time to interview all 1000 students in the school, so they plan to obtain data from a sample of students.
1. Describe the parameter of interest and a statistic the students could use to estimate the parameter.
2. Is the best design for this study a sample survey, an experiment, or an observational study? Explain your reasoning.
3. The students quickly realized that, as there is no definition of “strict”, they could not simply ask a student, “Are your parents or guardians strict?” Write three questions that could provide objective data related to strictness.
4. Describe an appropriate method for obtaining a sample of 100 students, based on your answer in question 1.
The parameter of interest in this scenario is the proportion of students in the school who think of their parents or guardians as "strict".
What is the statistical parameter?Focussing on the strict guardians is a population parameter, but since it is impractical to survey all 1000 students in the school, the students plan to obtain data from a sample of students.
To estimate this population proportion, the students could use the sample proportion as a statistic. They can randomly select a sample of students from the school and ask them if they consider their parents or guardians as "strict". The proportion of students in the sample who say "yes" can be used as an estimate of the proportion of all students in the school who consider their parents or guardians as "strict". The sample proportion is a statistic that provides an estimate of the population parameter of interest.
Learn more about statistics:https://brainly.com/question/29093686
#SPJ1
PLEASE HELP ME WITH THIS
What is the value or arc PQ? Only enter numerical values.
Arc PQ is of length 110 degrees.
Finding the length of arc PQGiven that a circle's circumference is 360 degrees and that the arc lengths are measured in degrees, we have the equation.
8x - 10 + 6x + 10x + 10 = 360
In order to answer the problem 8x - 10 + 6x + 10x + 10 = 360 for x, we must first combine like terms to simplify the left side of the equation:
8x + 6x + 10x - 10 + 10 = 24x
The equation now reads:
24x = 360
By dividing both sides of the equation by 24, we may isolate x on one side of the equation and solve for it:
24x/24 = 360/24
x = 15
Thus, 15 is the answer to the x problem.
Arc PQ = 8x - 10.
= 8 * 15 - 10
= 110 °
Learn more about arc length at
https://brainly.com/question/2005046
#SPJ1
the classical decision-making model assumes that managers have all of the information they need in order to make the optimum decision. true or false
The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.
The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.
The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.
To know more about classical model here
https://brainly.com/question/31246149
#SPJ4
consider the following computer output for an experiment. the factor was tested over four levels. source df ss ms f p-value factor ? ? 330.4716 4.42 ? error ? ? ? total 31 ? (a) how many replicates did the experimenter use? (b)fill in the missing information in the anova table. use bounds for the p-value if you use the tables, not a calculator nor r. (c) what conclusions can you draw about differences in the factor-level means?
When the factor is tested over four levels. source
(a) The number of replicates used in the experiment is not given in the output.
(b) It the degree of freedom for the factor is 3 and the p-value is less than 0.05.
(c) There is a significant difference between the factor-level means because the p-value is less than 0.05.
Find (a) How many replicates did the experimenter use?(b) Fill in the missing information in the ANOVA table. Use bounds for the p-value if you use the tables.(c) What conclusions can you draw about differences in the factor-level means?(a) The number of replicates used in the experiment is not provided in the given information.
(b) Using the given information, we can fill in the missing values in the ANOVA table as follows:
Source DF SS MS F P-value
Factor 3 ? 110.157 4.42 ?
Error ? ? ? ? ?
Total 31 ? ? ? ?
The missing values can only be determined if the number of replicates used in the experiment is known.
(c) Without the complete ANOVA table, we cannot draw any conclusions about differences in the factor-level means.
Learn more about ANOVA table
brainly.com/question/29744778
#SPJ11
If s(d) represents the number of songs downloaded in a year d, what is the interpretation of s(2020) = 5,220,000.
A. 5,220,000 songs were downloaded in the year 2020.
B. There is not enough information to interpret the information.
C. In the year 2020 $5,220,000 was earned from downloaded songs.
D. 2,020 songs were downloaded at a cost of $5,220,000.
The equation represents that 5,220,000 songs were downloaded in the year 2020. The solution has been obtained by interpreting the equation.
What is interpreting the equation?
When interpreting a function, one must translate the formula or drawn graph's symbols into useful data. This process involves obtaining a statement which represents the function or the equation.
We are given that s (d) represents the number of songs downloaded in a year d.
Now, in the question, we are given an equation as s (2020) = 5,220,000.
So, this equation represents that 5,220,000 songs were downloaded in the year 2020.
Hence, the first option is the correct interpretation of the equation.
Learn more about interpreting the equation from the given link
https://brainly.com/question/28394064
#SPJ1
The answer to this question
The volume of the basketball is approximately 4.2x³.
How to solve for the volumea. The formula for the volume of a sphere is:
V = (4/3)πr³
where r is the radius of the sphere. In this case, the radius is given as x, so we have:
V = (4/3)πx³ ≈ 4.2x³
Therefore, the volume of the basketball is approximately 4.2x³.
b. The volume of a cube is given by:
V = s³
where s is the length of one of its sides. Since the basketball touches all of the sides of the case, the length of one of its sides is equal to the diameter of the basketball plus the length of a side of the basketball. This is equal to 2x + 2x = 4x. Therefore, we have:
V = (4x)³ = 64x³
Therefore, the volume of the box is 64x³.
c. The volume of air in the box is equal to the volume of the box minus the volume of the basketball. We can substitute the formulas we obtained in parts (a) and (b) to get:
V_air = V_box - V_basketball = 64x³ - 4.2x³ = 59.8x³
Therefore, the volume of air in the box is approximately 59.8x³.
Read more on volume here:https://brainly.com/question/27710307
#SPJ1
The number of hours a student spent studying each week for 9 weeks is shown.
5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5
What is the value of the range for this set of data?
3
6.5
9
12
The range of a data set is the difference between the highest and lowest numbers in the set. To find the range for the given set of data, we first need to find the highest and lowest values in the set. From the given set of data, we can see that the minimum value is 3 and the maximum value is 12. Therefore, the range of the given set of data is 12 - 3 = 9.
Hence, the answer is 9.
What is the solution to the system of equations graphed below? A. (0,6) B. (6,0) C. (0,3) D. (1,5)
The correct option is - D. (1,5). The solution to the system of equations for the given graph is at (1,5).
Explain about the solution of system of equations:A collection of values for a variable that simultaneously fulfil each equation is the solution to a system of equations. A system of equations must be solved by identifying all possible sets of variable values that make up the system's solutions.
The points where the lines representing the intersections where two linear equations intersect are referred to as the conclusion of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of both the system of linear equations.For the given graph, the solution of the system of equation is obtained as the point where the lines intersect.
The two lines in the graph intersect at the (1,5). Thus, the solution to the system of equations for the given graph is at (1,5).
Know more about the system of equations
https://brainly.com/question/25976025
#SPJ1
p: It is winter.
q: There is snow on the ground.
r. There are Christmas lights on houses.
Translate the following statement and determine its truth value.
(~r^~q) →p
A.
If there are not Christmas lights on houses and there is not snow on the ground, then it is winter.
True
B. If there are not Christmas lights on houses and there is not snow on the ground, then it is winter.
False
C. If there are Christmas lights on houses and there is snow on the ground, then it is winter.
True
D.
If there are Christmas lights on houses and there is snow on the ground, then it is winter.
False
Answer:
C
Step-by-step explanation
the weather usually gets colder in the winter and people usually decorate for Christmas late fall and early winter.
therefore, if there is snow on the ground and Christmas lights on houses its most likely winter.
Solve the trigonometric equation for all values -5 sinπ/3x=0
The solutions to the equation sin(πx/3) = 0 in the interval -5 < x < 5 are x = -3, 0, and 3.
What is Trigonometric equation?
A trigonometric equation is an equation that involves trigonometric functions such as sine, cosine, tangent, or their inverses. Trigonometric equations arise in a variety of mathematical and scientific contexts, from solving geometric problems involving angles and triangles to modeling periodic phenomena in physics, engineering, and other fields.
Solving a trigonometric equation typically involves finding the values of the unknown variable that satisfy the equation within a certain interval. For example, the equation sin(x) = 0 has infinitely many solutions, but if we restrict the interval to [0, 2π], then the solutions are x = 0, π, 2π, which correspond to the x-intercepts of the sine function in that interval.
Here the equation sin(πx/3) = 0 has solutions whenever πx/3 is an integer multiple of π, since the sine function is zero at these values. Thus, we need to find all integers n such that πx/3 = nπ, or equivalently x = 3n for some integer n.
Since -5 < x < 5, we need to find all integers n such that -5 < 3n < 5. Dividing all sides by 3, we get -5/3 < n < 5/3. The only integers in this range are -1, 0, and 1. Therefore, the solutions to the equation sin(πx/3) = 0 in the interval -5 < x < 5 are x = -3, 0, and 3.
Learn more about trigonometric equation here,
https://brainly.com/question/24349828
#SPJ1
ALL MY POINTS TO WHOEVER ANSWERS THIS FIRST
IN ΔABC, m∠A=70° and m∠B=35°.
Select the traingle that is similar to ΔABC.
The answer is B
The internal angles of a triangle have to be 180
IN ΔABC, m∠A=70° and m∠B=35°.
70°+35°+x=180°
105°+x=180°
x=180°-105°
x=75°
Answer B meets the requirements because in ΔPQR m∠P=70° and m∠R=75°
70°+75°+x=180°
145°+x=180°
x=180°-145°
x=35°
The angles of both triangles measure the same
8. I brought a pizza in for lunch. I removed the crust on the slices that
I ate, which are pictured in white below. To the nearest centimeter,
how much crust did I remove?
35 cm
C
The distance the tip of the bat travels is equivalent to the length of the arc which is 205 inches
What is the distance the tip of the bat travelsThe distance the tip of the bat travels is equal to the length of the arc it sweeps through. To calculate this length, we need to use the formula:
length of arc = (angle / 360) x 2πr
where angle is the central angle in degrees, r is the radius of the circle, and π is a constant approximately equal to 3.14159.
Substituting the given values, we get:
length of arc = (255 / 360) x 2π x 46
length of arc = (0.7083) x 2 x 3.14 x 46
length of arc = 204.6 inches (rounded to two decimal places)
Therefore, the distance the tip of the bat travels is approximately 205 inches to the nearest inch.
Learn more on length of an arc here;
https://brainly.com/question/12823137
#SPJ1
state the most specific name of this quadrilateral..70 points
Answer:
trapezoid prob i not good at shapes but i thinks its a trapezoid
This shape is simply a quadrilateral. It cannot be square because it does not have four equal sides. It cannot be a rectangle because it does not have two sides that are the same length and because it doesn't have 2 pairs of parallel lines. It cannot be a trapezoid because it does not have 1 pair of parallel lines. It cannot be a triangle because it does not have 3 vertices. Lastly, this shape is not a parallelogram because it does not have 2 pairs of parallel lines.
ANSWER : QUADRILATERAL
What is the smallest positive integer divisible by 6 and 2 you can write using at least one 2 and one 6?
The smallest positive integer divisible by 6 and 2 that can be written using at least one 2 and one 6 is 6.
The smallest positive integer that is divisible by both 2 and 6 is their least common multiple (LCM), which is equal to the product of the highest power of each prime factor that appears in the factorization of 2 and 6.
The prime factorization of 2 is simply 2, while the prime factorization of 6 is 2 × 3. The highest power of 2 that appears in the factorization of 6 is just 2 itself, so the LCM of 2 and 6 is 2 × 3 = 6.
We are asked to write this integer using at least one 2 and one 6. We can do this by simply writing 6, which is the LCM of 2 and 6 and is divisible by both of them. Since 6 contains one 2 and one 6, this meets the requirement of the problem. Therefore, the smallest positive integer divisible by 6 and 2 that can be written using at least one 2 and one 6 is 6.
Learn more about least common multiple here
brainly.com/question/30060162
#SPJ4
The figure shown is a triangular prism. How much would it cost to cover the bases and the other three
faces with foil that costs $0.34 per square foot?
The foil will cost $
4 ft
5 ft
13 ft
12 ft
Thus, the cost to cover all three faces and base of the triangular prism is $12.24.
Explain about the triangular prism:An elongated pyramid-like 3D shape is a triangular prism. It features three rectangular faces and two bases. A form must have two similar bases, at least three rectangle-shaped faces, and a consistent cross-section over its whole length in order to qualify as a prism. Your shape is a triangular prism if it is also triangular.
Area of the rectangular base A1 = length * width
A1 : 5*2 = 10 ft²
Area of two rectangles faces A2:
A2: 2*3 + 2*4 = 14 ft²
Area of the two triangles faces A3 = 1/2*base*height
Base of triangle: (x)+(x-5)
Using the Pythagorean theorem:
x²+h² = 3²
h² = 9-x² ...eq 1
(5-x)²+h²=4²
h²=16-(5-x)² ...eq 2
Equating eq 1 and eq 2:
9-x² = 16-(5-x)²
9-x² = 16-25-10x-x²
on solving:
x=1.8
Then,
h²=9-(1.8)²------------ >
h=2.4 ft
Area A3 = (5*2.4)*2/2 = 12 ft²
Total Surface area A = A1+A2+A3
A = 10+14+12
A = 36 ft²
Rate of foil:
$0.34 for 1 ft²
For, A = 36 ft²
rate = 36*0.34
rate = $12.24
Thus, the cost to cover all three faces and base of the triangular prism is $12.24.
Know more about the triangular prism.
https://brainly.com/question/23178481
#SPJ1
complete question:
The figure shown is a triangular prism. How much would it cost to cover the bases and the other three faces with foil that costs $0.34 per square foot?
what is the answer of this question (please i need help)
The correct option is - C. The data for the two population of the weight of squirrels have different skews.
Explain about the skewed data:Data that produces an uneven, skewed curve on a graph is referred to as skewed data. In statistics, a data set with a normal distribution has a bell-shaped, symmetrical graph. Skewed data, however, has a "tail" on each side of the graph. Two of the most typical skew types are:
Negative skew: A data set with such a negative skew has a tail on the left-skewed, or negative, side of the graph.Positive skew: When a data set has positive skew, the graph appears skewed to the right and has a tail on the positive side.For the given population of the weight of squirrels:
The data for the two population of the weight of squirrels have different skews.
Know more about the skewed data:
https://brainly.com/question/24055593
#SPJ1
what is the probability that the largest among these random samples is greater than the population median?
The probability that the largest of n random samples is greater than the population median M is bounded above by[tex]1 - F(M)^(n-1) \times F(X(n))[/tex].
Assumptions about the population and the sampling method.
Let's assume that the population has a continuous probability distribution with a well-defined median, and that we are taking independent random samples from this population.
Let [tex]X1, X2, ..., Xn[/tex] be the random samples that we take from the population, where n is the sample size.
Let M be the population median.
The probability that the largest of these random samples, denoted by X(n), is greater than M.
Cumulative distribution function (CDF) of the population distribution to calculate this probability.
The CDF gives the probability that a random variable takes on a value less than or equal to a given number.
Let F(x) be the CDF of the population distribution.
Then, the probability that X(n) is greater than M is:
[tex]P(X(n) > M) = 1 - P(X(n) < = M)[/tex]
Since we are assuming that the samples are independent, the joint probability of the samples is the product of their individual probabilities:
[tex]P(X1 < = x1, X2 < = x2, ..., Xn < = xn) = P(X1 < = x1) \times P(X2 < = x2) \times ... \times P(Xn < = xn)[/tex]
For any x <= M, we have:
[tex]P(Xi < = x) < = P(Xi < = M) for i = 1, 2, ..., n[/tex]
Therefore,
[tex]P(X1 < = x, X2 < = x, ..., Xn < = x) < = P(X1 < = M, X2 < = M, ..., Xn < = M) = F(M)^n[/tex]
Using the complement rule and the fact that the samples are identically distributed, we get:
[tex]P(X(n) > M) = 1 - P(X(n) < = M)[/tex]
= [tex]1 - P(X1 < = M, X2 < = M, ..., X(n) < = M)[/tex]
=[tex]1 - [P(X1 < = M) \times P(X2 < = M) \times ... \times P(X(n-1) < = M) \times P(X(n) < = M)][/tex]
[tex]< = 1 - F(M)^(n-1) \times F(X(n))[/tex]
Probability depends on the sample size n and the distribution of the population.
If the population is symmetric around its median, the probability is 0.5 for any sample size.
As the sample size increases, the probability generally increases, but the rate of increase depends on the population distribution.
For similar questions on Median
https://brainly.com/question/26177250
#SPJ11
a numerical measure of linear association between two variables is the . a. z-score b. correlation coefficient c. variance d. standard deviation
The numerical measure of linear association is b. correlation coefficient.
What is the statistical term used to describe a quantifiable measure of the linear relationship between two variables?The correlation coefficient is a statistical measure that represents the degree of linear relationship between two variables. It takes values between -1 and 1, where -1 represents a perfect negative linear correlation, 0 represents no linear correlation, and 1 represents a perfect positive linear correlation.
A positive correlation means that when one variable increases, the other variable also tends to increase, while a negative correlation means that when one variable increases, the other variable tends to decrease.
The correlation coefficient is calculated using the formula:
[tex]r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)][/tex]
where r is the correlation coefficient, n is the sample size, Σxy is the sum of the products of the corresponding values of x and y, Σx and Σy are the sums of x and y respectively, and Σx^2 and Σy^2 are the sums of the squares of x and y respectively.
In summary, the correlation coefficient is a measure of the strength and direction of the linear association between two variables.
Learn more about correlation coefficient
brainly.com/question/15577278
#SPJ11
Help with Algebra homework
The inverse function r(m), to find the radius of a sphere with mass, m is:
r(m) = ∛(3m/50π)
Determining the inverse function to determine radius of a sphereFrom the question, we are to determine the inverse function r(m), to find the radius of a sphere with mass, m
From the given information, we have that
m(r) = 50/3 πr³
This can be written as
m = 50/3 πr³
To determine the inversion function r(m), we will simply make r the subject of the above equation
m = 50/3 πr³
Multiply both sides of the equation by 3/50
3/50 × m = 3/50 × 50/3 πr³
3/50 × m = πr³
Divide both sides by π
3/50 × m/π = πr³/π
3/50 × m/π = r³
This can be written as
r³ = 3/50 × m/π
Take the cube root of both sides
r = ∛(3m/50π)
Thus, the inverse function is
r(m) = ∛(3m/50π)
Learn more on Determining inverse function here: https://brainly.com/question/3831584
#SPJ1
Suppose that Anna draws two line segments, AB and CD that intersect at point E. She draws them in such
a way that AB CD, AB 1 CD, and AB and CD bisect each other.
Part 1 out of 2
What is the best name to describe ABCD?
A
rectangle
B
rhombus
square
D
parallelogram
The best name to describe ABCD is B) rhombus.
From the given information, we know that AB and CD bisect each other, which means they divide each other into two equal parts. This implies that AE = EB and CE = ED.
Also, we know that AB and CD intersect at point E, and they form four angles at point E. Since AB and CD bisect each other, these angles will be equal, and each will be divided into two congruent angles by the bisectors.
Therefore, we have four congruent angles at point E and two pairs of congruent sides (AE = EB and CE = ED).
A figure with four congruent angles and two pairs of congruent sides is called a rhombus.
Therefore, ABCD can be best described as B) rhombus.
To learn more about rhombus here:
https://brainly.com/question/27870968
#SPJ4
3. Ann buys a computer game for R650 excluding VAT. How much VAT will she pay? How much will she pay in total?
Answer:
depends on the percentage of vat
Find the volume of this sphere using 3 for pie
The volume of this sphere is equal to 4,000 cm³.
How to calculate the volume of a sphere?In Mathematics and Geometry, the volume of a sphere can be calculated by using this mathematical equation (formula):
Volume of a sphere = 4/3 × πr³
Where:
r represents the radius.
Note: Radius = diameter/2 = 20/2 = 10 cm.
By substituting the given parameters into the formula for the volume of a sphere, we have the following;
Volume of a sphere = 4/3 × 3 × (10)³
Volume of a sphere = 4 × 1000
Volume of a sphere = 4,000 cm³
Read more on volume of a sphere here: brainly.com/question/20394302
#SPJ1
Four friends want to play a game. In how many ways can the friends from teams, if both team dont have name
The friends can form teams in 6 different ways.
If the four friends want to form two teams, we can count the number of ways they can do this using combinations.
The number of ways to choose two people out of four is given by the combination formula,
C(4,2) = 4! / (2! * (4-2)!) = 6
We can list them as follows, where each team is represented by the letters A and B,
AB | CD
AC | BD
AD | BC
BC | AD
BD | AC
CD | AB
This means that there are 6 different ways the four friends can be split into two teams.
To learn more about teams here:
https://brainly.com/question/30622263
#SPJ4
What is the mean of this data set?
Please help
Answer:
Step-by-step explanation:
Find the area of the circle with a circumference of
. Write your solution in terms of
.
Area in terms of
: ______
super sleep hotel has 1,700 guests who stayed for two nights and rented 150 rooms. how many guest nights did the hotel have during this period?
In linear equation, 4,000 guest nights did the hotel have during this period.
What is a linear equation in mathematics?
A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.
According to question,
Guest nights = Number of guests × Number of nights
= 2,000 × 2
= 4,000
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
scenic cinemas surveyed its audience and found that while most movie goers prefer weekends, seniors visit on weekdays. how should the theatre respond?
Scenic Cinemas should offer discounted weekday matinee showings for seniors and continue to focus on weekend showings for their broader audience.
How should Cinemas tailor their offerings to accommodate both preferences?Based on the survey results, it would be wise for Scenic Cinemas to tailor their offerings to accommodate both preferences.
One option would be to offer discounted weekday matinee showings targeted toward seniors. This could incentivize them to visit on weekdays while also offering them a more affordable option. At the same time, Scenic Cinemas could continue to focus on weekend showings to cater to their broader audience.
Another approach would be to offer more diverse programming during the weekdays, such as classic films or independent movies that may appeal more to seniors. This could create a niche for Scenic Cinemas and attract a more loyal customer base.
Ultimately, it's important for Scenic Cinemas to balance the needs of their different audience segments to maximize revenue and customer satisfaction. By offering targeted promotions and programming, they can ensure that both seniors and other moviegoers feel valued and have a reason to visit the theatre.
Learn more about survey trends
brainly.com/question/29751975
#SPJ11