Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.
What is Interval Notation?Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
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If Point B represents an alternate combination of flutternutters & blank books, then how much of each product could be produced?
From the given graph, at Point B a total of 8000 fluffernutters & 500 blank books could be produced.
The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this context, a graph is made up of vertices connected by edges.
In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs.
Straight line graphs called linear graphs are used to show the relationship between two quantities. This graph makes it easier to show a result as a collection of straight lines. The term "linear" simply means a straight line; curves, dots, bars, etc. are not used.
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Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If the coin turns up heads, Jess multiplies the number she's thinking of by $\frac{5}{6}$. If the coin turns up tails, she multiplies the number she's thinking of by $\frac{6}{5}$. Brian flips the coin ten times, and after each flip Jess multiplies the number in her head by either $\frac{5}{6}$ or $\frac{6}{5}$, depending on the coin flip. The ten coin flips turn out to be:\[ \text{THTTHTHTTT}, \]where H means 'heads' and T means 'tails.' What number is Jess thinking of at the end of the game if she starts out with the fraction $\frac{5}{9}$
Starting out with the fraction of 5/9, Jess would be thinking of the fraction 144/125 at the end of the game if the ten coin flips turn out to be {THTTHTHTTT}.
What is the probability of getting H or T in a coin flip?Since both outcomes are equally likely, the probability of getting heads is 0.5 and the probability of getting tails is also 0.5. Alternatively, the probability of getting H or T in a coin flip is 1.
What is the significance of probability?Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.
Taking the sequence of coin flips in ten tires, i.e THTTHTHTTT , and starting from the fraction 5/9, the fraction that jess would be thinking at the end of the game can be calculated as,
5/9 * (6/5)^7 *(5/6)^3 , since there are 7 Tails and 3 Heads during the whole game. Which is equal to the fraction 144/125.
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Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is $15\frac{1}{2}$ years old, and Megan is $7\frac{7}{12}$. What is the difference in their ages? Express your answer as a simplified mixed number.
The difference between their ages is obtained as 35/12.
What is the difference?Let us recall that the term fraction has to do with a part of a whole. In this case, we have been told that Marcelle and Megan realized that they could express their ages more specifically if they used fractions.
Age of Marcelle = 15 1/2 or 31/2 years
Age of Megan = 12 7/12 or 151/12 years
The difference between their ages is;
31/2 - 151/12
=186 - 151/12
=35/12
There ages would have a difference of 35/12.
In the computation that has gone on above, we can clearly see that the difference in the ages is 35/12.
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Missing parts;
Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.
How many solutions does the equation 6a - 3a - 6 = 2 + 3 have?
Answer:
One, a=11/3.
Step-by-step explanation:
6a-3a-6=2+3
3a-6=5
3a=5+6
3a=11
a=11/3
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
what is the value of x + y for the system of equations?
y = 2/3x - 9
y= 8 - 2x
Answer:
I got decimals when I graphed but I got (6.25,-4.75)
Step-by-step explanation:
I made a graph and placed the 2 equations in and marked where they intercepted which is (6.25,-4.75)
Number 7 says find the measure of the angle indicated I could fit the question in with it! If you could help!
The measure of angle E if The measure of angles is 2x + 13, 11x - 6 and 89°, is 37°.
What is the angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.
Given:
The measure of angles is 2x + 13, 11x - 6 and 89°,
Use the exterior angle theorem and find the value of x as shown below,
2x + 13 + 89 = 11x - 6
2x + 102 = 11x - 6
9x = 108
x = 12
Thus, the measure of ∠ E = 2 × 12 + 13
∠ E = 24 + 13
∠ E = 37°
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A rectangular prism is 12 feet by 10 ft by 3 ft. What is the volume of the prism?
A 186 ft
B 360 ft
C 372 ft2
D 720 ft
HELP PLS
Mhanifa please help this is due soon
Answer:
Step-by-step explanation:
Geometric mean = 7.3
Answer:
#1This is the isosceles right triangle as one of the angles is 45°.
The second leg is same as the first and the hypotenuse is √2 times the leg.
x = 5√2y = 5#2This is the 30°x60°x90° triangle and the ratio of sides is:
1 : √3 : 2Since the hypotenuse is 16, the other sides are:
y = 16/2 = 8x = 8√3#3Geometric mean of two numbers is the square root of their product.
√9*6 = √54 = 7.3 (rounded)Correct choice is C
when journalizing an accounts payable account what account is credited
a. it depends on the transaction
b. accounts payable
c. cash
d. accounts receivable
Answer:
cash
Step-by-step explanation:
debit - account payable
credit - cash
Peter drove at an average speed of 120 km/h for 3 1/2 hours. If he has increased his speed by 20 km/h, how much time would he have saved?
Please give a real answer. What is the surface area of this composite figure?
Answer:
[tex]\huge \boxed{SA=294cm^2}[/tex]
Step-by-step explanation:
[tex]SA=(6*7)+(6*7)+2[6*4/2]+4(6)+(6*6)[/tex][tex]168+42+24+24+36[/tex][tex]SA=294 cm^2[/tex][tex]-------------[/tex]
hope it helps..
have a great day!!
Each of Frank's notebooks is 2/5 inches wide. If he has 10 inches of space remaining on his bookshelf, how many notebooks will fit
We can fit 25 notebooks on the space.
Now, According to the question:
The width of the notebook is 2/5
The length of the space is 10 inches.
To find the number of the notebooks can put there divide 30 by 2/3
Number of the books : [tex]\frac{10}{\frac{2}{5} }[/tex] = 10 × [tex]\frac{5}{2}[/tex]
=> 50/2 = 25
The number of the notebook is 25
We can fit 25 notebooks on the space.
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Thomas goes to school from 7:40 AM until 2:05 PM.
Part A: How many minutes does Thomas have in a school day?
Write an expression that could help you find out how many seconds are in his school day.
Answer:
part A: 6:25
Step-by-step explanation:
Answer: 385 min. and part b multiply 385 by 60
Step-by-step explanation:
you are welcome
Don’t know need help
I think that the answer would be 14
How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2
On solving the provided question, we can say that 12,12,12,22,23,32,43 Mean Absolute Deviation (MAD): 8.8979591836735
what is mean absolute deviation?The average of the absolute deviations from the center point within a dataset is called the mean absolute deviation. This statistic summarizes the statistical spread or variability. Each data point's average distance from the mean is known as the dataset's mean absolute deviation. This gives a sense of the dataset's variability. To determine the absolute value, take the mean from each integer in the dataset and then subtraction. Take the total of the absolute values next. Subtract the aforementioned sum from the total number of items in the dataset to obtain the mean absolute deviation.
12,12,12,22,23,32,43
Mean Absolute Deviation (MAD): 8.8979591836735
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Answer:
On solving the provided question, we can say that 12,12,12,22,23,32,43 Mean Absolute Deviation (MAD): 8.8979591836735
Step-by-step explanation:
PLEASE HELP Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?
The expression determines the quantity of water leaving the tank per hour is (18 1/2 gallons)/(4 1/4 hours)
How to find which expression determines the quantity of water leaving the tank per hour?
Rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, rate is one quantity divided by the other quantity.
If a total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. We can write that the rate as follows:
rate = (18 1/2 gallons)/(4 1/4 hours)
rate = 4 6/17 gallons per hour
Thus, the expression determines the quantity of water leaving the tank is (18 1/2 gallons)/(4 1/4 hours)
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Ross had 85 papers to grade from his students. He has graded 60 of them. Approximately what percentage of papers does he have left to grade?
well, our origin amount will be 80, so 80 is the 100% or all papers, now, she has graded 60, so what's leftover is 20, what's 20 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80 & 100\\ 20& x \end{array} \implies \cfrac{80}{20}~~=~~\cfrac{100}{x} \\\\\\ 4 ~~=~~ \cfrac{ 100 }{ x }\implies x=\cfrac{100}{4}\implies x=25[/tex]
Kara Paid 24.64$ to ship 11 packages. Each package has the same size and weight. How much did it cost to ship 1 package?
Answer:
2.24$
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!
Hi there!
[tex]\large\boxed{t = 12.60 \text{ days}}[/tex]
We can solve this by setting the equation equal to 150:
[tex]150 = \frac{230}{1 + 56.5e^-0.37t}[/tex]
Cross-multiply and divide:
[tex]150 (1 + 56.5e^{-0.37t})= 230[/tex]
Divide both sides by 150:
[tex]1 + 56.5e^{-0.37t} = 1.5333[/tex]
Isolate for t by subtracting both sides by 1 and dividing by 56.5:
[tex]56.5e^{-0.37t} = 0.5333[/tex]
[tex]e^{-0.37t} = 0.0094395[/tex]
Take the natural log to solve for t:
[tex]ln (0.0094395) = -0.37t[/tex]
[tex]-4.6628522 = -0.37t[/tex]
Divide both sides by -0.37:
t = 12.60 days.
What is the volume of a cylinder with a radius of 30 cm and a height of 15 cm PLEASE IM BEGGING PLEASE HELP
Answer:
We need to find the area of the base/circle then multiply it by the height so if you know the formula area of a circle your good to go.
30^2 = 900
900 x 3.14 =2,826
Now lets multiply the base's area/circle by the height!
2,826 x 15 = 42,390 cm^3(cm cubed) is your answer.
Look at the box-and-whisker plot. What is the measure of the first quartile (Q1)?
A: 43.5
B: 50.0
C: 41.5
D: 47.5
PLEASE HELP I AM IN A HURRY !!!!!!!
Answer:
A
Step-by-step explanation:
2021 EDG
Answer:
A) 43.5
Step-by-step explanation:
Which expression is equivalent to 2. 2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m)?
2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² + 11.3m - 8.7
The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (, ).
It is a given that the quadratic equation has two roots. Roots might have either a true or made-up nature.
2m² - 3. 5(4m- 1. 4) + 3. 6(8m -4. 5m) is equivalent to 2.2m² - 3.5(4m- 1.4) + 3.6(8m -4.5m) which is equivalent to 2.2m² - 14m + 4.9 + 25.2m - 12.6m which is equivalent to 2.2m² + 11.3m - 8.7
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What is the median of the following data set? {3, 4, 2, 8, 5}
a 2 b 3 c 4 d 6
Answer:
C. 4
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Answer:
c. 4
Step-by-step explanation:
first arrange the data in order.(you can use both ascending and descending order).
2,3,4,5,8
there are 5 numbers and 5 is odd so simply the middle value is the median.
but if it is even the average of the middle values is the median
A woman has 23 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.10, how many
dimes and how many quarters does she have?
Answer:
Step-by-step explanation:
there is 1 dime and 12 quarters
How do you find the inverse of a 4x4?
By adding a duplicate of the identity matrix to the augmented matrix, which was formed, it is possible to find the inverse of a square matrix using row reduction.
If the matrix is capable of being reduced to the identity, the identity matrix will simultaneously change into the inverse matrix. A rectangular array of numbers, arranged in rows and columns, is referred to as a matrix. The dimension, or order, of a matrix, indicates how many rows and columns there are in the array. For example, if a matrix has m rows and n columns, its order is expressed as mxn.
Correct Question :
How do you find the inverse of a 4x4 matrix?
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Find the area of the irregular polygon?
Answer:
4 x 12 = 48, 48 divided by 2 = 24
8 x 12 = 96
96 + 24 = 120 ft^2
Answer:
Step-by-step explanation:
so do 4*8 and then do how ever many you get from 4*8 and add that to get your aswer wich would be
4*8=32
32+12 =44
help pls...
Three side lengths of a right triangle are given. Use the drop-down menus to explain why matters where you substitute the lengths in the Pythagorean Theorem.
In the Pythagorean Theorem, the (two ahortest sides) / (one short side and the hypotenuse) must always be substituted for the side lenghts, not (a short side) / (the hypotenuse).
Answer:
?
Step-by-step explanation:
9) Which point is a solution to the equation 3x + 2y = 9?
A. (0,4) B. (4,0) C. (1,3) D. (3, 1)
Answer:
c. (1, 3)
Step-by-step explanation:
The coordinates that best suite the equation, given it the answer.
Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose
to Chicago. If Benji's flight from Chicago to San Jose was 4.5 hours long, how long was his return
flight, in hours?
Choose 1 answer:
A
3.5
B 4
C 4.5
D
assroom
5
The time taken for his return flight, in hours could be 4 hours.
What is time ?
Time is defined as the sequence of events that occurs which can be from past through present or to future.
Given,
Benji's flight from Chicago to San Jose took 0.5 hour longer than his return flight from San Jose to Chicago.
If Benji's flight from Chicago to San Jose was 4.5 hours long
let,
chicago to san jose = san jose to chicago+0.5
4.5 - 0.5 = san jose to chicago
san jose to chicago = 4 hours
Hence, How long was his return flight, in hours is 4 hours.
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Find the circumstances
Answer:
15π = 47.12
Step-by-step explanation:
C = pi(diameter)
C= 15π
Answer:
Solution given:
diameter [d]=15m
circumference =?
we have
circumference of circle =πd=π×15=15π or 47.12m