An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.
Interval
An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.
Interval NotationInterval notation is a simplified way of describing a particular interval. Let’s see how it’s done.
Step 1: We write the first and last number of the interval, which are the endpoints of the interval. For example, if the interval is from 6 to 20, we write 6, 20.
Step 2: We use a round or square bracket on each side of the two numbers. We use:
A square bracket [ ], if we want to include the endpoints
A round bracket ( ), if we don’t want to include the endpoints
So in this example, we use:
[6, 20] if the interval includes 6 and 20(6, 20) if the interval excludes 6 and 20 (6, 20] if the interval excludes 6 but includes 20[6, 20) if the interval includes 6 but excludes 20 Types of IntervalsSo, we can see that some intervals include the endpoints, some partially include them, and some do not include them. Based on this, there are three types of intervals
These are:
Open intervalClosed intervalHalf-open and half-closed intervalOpen IntervalThis type of interval does not include the endpoints. For example, (5, 10) does not include endpoints 5 and 10.
Closed IntervalThis type of interval includes the endpoints. For example, [4, 9] includes the endpoints 4 and 9.
Half-Open and Half-Closed IntervalThis type of interval includes only one of the endpoints.
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What is the inverse of 9 by 7?
-9/7 is the inverse of 9/7.
-9/-7 = 9/7
9/7 + (-9/7) = 0
-9/7 is consequently the additive opposite of -9/-7.
By merely switching the integer's sign, you can add the original number and the additive inverse to produce a result equal to 0. The value that, when added to the original number, results in zero is known as a number's additive inverse. It is what we add to a number to make it equal to zero. Considering that an is the starting number, its additive inverse will be a minus one, or -a, such that;
a+(-a) = a – a = 0
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Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.
On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.
Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.
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The pairs of polygons below are similar. Give the scale factor of figure A to figure B.
1/8
2
1/4
8
1/2
4
From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.
what is polygon ?A polygon is a closed object in a two-dimensional plane comprised of line segments rather than curves. The word "polygon" is a combination of the words "poly" (which meaning many) and "gon" (means sides). A closed figure must include a minimum of three line segments that connect end to end. A polygon is any three or more-sided closed two-dimensional shape. In addition to more complex designs like a dodecagon with twelve sides, polygons include triangles and squares. Polygons include shapes like quadrilaterals, triangles, hexagons, and pentagons. The number of sides the form has is indicated by the name.
given
the scale factor of figure A to figure B
= smaller dimension / larger dimension
= 2/16
= 1/8
and 4/8
= 1/2
From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.
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Which describes why digital signals are a more reliable way to encode and transmit information than analog signals? Multiple choice question. Noise builds up on digital signals only when the signals travel long distances. Noise is easily filtered out without damage to the original signal because only one of two values is expected. Noise is easily filtered out without damage to the original signal because a narrow range of values is expected. Noise does not build up on digital signals when they are transmitted, unlike analog signals.
The solution is Option B.
Noise is easily filtered out without damage to the original signal because a narrow range of values is expected
What are digital signals?A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals
The three types of digital signals are
Continuous-Time/Analog Signal
Discrete-Time Signal
Digital Signal
Given data ,
The digital signals are a more reliable way to encode and transmit information than analog signals
Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity
The digital devices only record pieces of sound waves, not full waves.
Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.
Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected
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Write the equation of the perpendicular bisector’s of the line AB given: A(1,3) & B(-3,5)
Answer:
y = 2x + 1
Step-by-step explanation:
[tex]\frac{5-3}{-3-1}[/tex] = [tex]\frac{2}{-4}[/tex] = [tex]\frac{1}{-2}[/tex]
Perpendicular slopes are the opposite reciprocals . So the slope of the line will be 2
slope (m) = 2
y = 3 You could use either point given. I chose (1,3)
x = 1 From the point given (1,3)
y = mx + b substitute in what you know and solve for b
3 = (2)(1) + b
3 = 2 + b Subtract 2 from both sides
1 = b
The y-intercept is 1.
y = mx + b
y = 2x + 1
11. One side of a kite is 2 cm less than 2 times the length of another. If the perimeter is 38 cm, find the length of each side of the kite. (show work)
Answer:
Step-by-step explanation:
good
Given that,
Perimeter of kite - 38 cm
Let "x" be the one side of kite
Both of the top sides are equal
Therefore, other side = x
One side of a kite is 2 cm less than 2 times the length of another
Therefore,
One of bottom side = 2x - 2
Bottom sides are also equal
Thus, other bottom side = 2x - 5
We know that,
Perimeter = sum of all sides
38 = x + x + 2x - 2 + 2x - 2
38 = 6x - 4
6x = 38 + 4
6x = 42
x = [tex]\frac{42}{6}[/tex]
x = 7
Thus length of each side of kite is:
x = 7
2x - 2 = 2(7) - 2 = 14 - 2 = 12
Thus length of each side of kite is 7 cm , 7 cm , 12cm , 12cm
Please Brainliest
gcf of 15 and 18 and -45
Answer: 3
Step-by-step explanation:
Factor of 15: ±1, ±3, ±5, ±15
Factor of 18: ±1, ±2, ±3, ±6, ±9, ±18
Factor of -45: ±1, ±3, ±5, ±9, ±45
=> GCF of 15, 18, -45 is 3
A certain statistic d is being used to estimate a population parameter D. The expected value of d is not equal to D. What property does d exhibit?
The sampling distribution of dis normal.
B
The sampling distribution of d is binomial.
с
The sampling distribution of dis uniform.
d is unbiased.
E
d is biased
Using the Central Limit Theorem for proportions, the correct option is:
E. The statistic is biased.
In plain English, what is the central limit theorem?
According to the central limit theorem, even if a population isn't normally distributed, you may still obtain sufficiently big samples from it and have the samples' means be distributed normally.
What is the central limit theorem and why is it significant?
Because of the Central Limit Theorem, we can confidently assume that the sampling distribution of the mean will be normally distributed in most situations.
Since a normal distribution is assumed, we can benefit from statistical methods, as we will see in the section after this one.
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Hanna is recovering
hundreds of treasure chests from an ancient
shipwreck. She is able to
récover 8 chests every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
10
Answer:
12
5
Step-by-step explanation:
if 8 chests = 4hrs
then X chests= 6hrs
cross multiply
48=4x
divide by 4
X= 12
repeat the same for the second using any and you'd get 5
a) 3.2÷0.8 explain pls b) 7.5÷0.5 also explain pls
What is the first step for solving 2x 3 7?
the question is of set of equations and the solution is as follows,
the equation is 2x -3 = 7,
First, add 3 to each side to get
2x - 3 + 3 = 7 +3
2x = 10
x = 10/2
x =5.
equations
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For Example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
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noah ia taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Noah's test score (out of 20) if he got 3 questions wrong? What would be his score if he got questions wrong?
Answer:
17
I wish you luck in your assignments.
9. A triangle with a height of 12 inches has an area of 36 square inches. How long is the base of the triangle?
If anyone knows this please tell me this is due tommorow!
Answer:
Step-by-step explanation
The triangle base would be 6
In convex hexagon $ABCDEF$, all six sides are congruent, $\angle A$ and $\angle D$ are right angles, and $\angle B$, $\angle C$, $\angle E$, and $\angle F$ are congruent. The area of the hexagonal region is $2116(\sqrt2 1)$. Find $AB$.
The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.
What is meant by convex hexagon?All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.
There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.
Let the side length be x
The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.
Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.
Let the equation be
2116(√2 + 1) = x²√2 + x²
simplifying the above equation, we get
2116(√2 + 1) = x²(√2 + 1)
2116 = x²
x = 46
Therefore, the value of AB exists 0.46.
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The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.
What is meant by convex hexagon?A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.
The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.
Let the side length be x
The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.
Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.
Let the equation be
2116(√2 + 1) = x²√2 + x²
simplifying the above equation, we get
2116(√2 + 1) = x²(√2 + 1)
2116 = x²
By taking root both sides,
x = 46
Therefore, the value of AB exists 0.46.
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Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on each shelf?
Answer:
9
Step-by-step explanation:
27 divided by 3 equal 9
Please I need help with all four who or whom
Answer: 2=who
3=who
4=whom
5=I
Step-by-step explanation:
Evaluate the expression when x=3
, y=−4
, and z=−6
.
z−2xy=
z
−
2
x
y
=
The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: z − 2xy
Values: x = 3, y = -4 and z = -6
Substitute the known values in the above equation, so, we have the following representation
z − 2xy = -6 - 2 * 3 * -4
Evaluate the products
This gives
z − 2xy = -6 + 24
Evaluate the like terms in the equation
So, we have the following representation
z − 2xy = 18
Using the above as a guide, we have the following:
The solution is 18
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Which of the following is a factor of 2x^2 3x 5?
The factor of the given expression is -1 and 5/2 first we try to solve given expression as a quadratic equation then we make 2 terms equal to 0.
first, try to understand what is the factor of a quadratic equation.
A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.
The roots of a quadratic equation are known as a factor. This means if we put the value of x to factor then the quadratic equation will become zero.
2x^2 - 3x - 5 = 2x^2 - (5-2)x - 5
3 can be written as 5-2.
2x^2 - 5x + 2x - 5
x(2x - 5) +1(2x-5)
(2x - 5)(x + 1)
So the factors is 2x - 5 = 0 or x + 1 = 0.
2x - 5 = 0 , x = 5/2.
x + 1 = 0 , x = -1.
Given question is incomplete complete question here:
Which of the following is a factor of 2x^2 - 3x - 5?
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You found that the area of the quarter circle is 78.50 cm squared. You are right. How was this answer found?
Please help me! It's basically asking how to find the area of this quarter circle. I also have to show how I know that the answer is correct by using these steps to get the area of 78.50 cm squared.
The area of the quarter of the circle is 78.50 squared centimeters.
How to find the area of quarter of a circle.A circle is a 2 dimensional plane shape that is bounded by a curve. Its area can be determined by;
area of a circle = [tex]\pi r^{2}[/tex]
where r is the value of the radius of the circle.
The radius of a circle is given as the half of its diameter.
Thus, a quarter of a circle is the 4th part of a given circle. This implies of fraction selected when a circle is divided into 4 equal part.
So that;
area of quarter of a circle = area of a circle/ 4
= [tex]\pi r^{2}[/tex]/ 4
The area of quarter of then given circle = ((22/7)*(10)^2)/ 4
= 78.50 squared centimeters
Therefore, the answer to the area of the quarter circle was found as explained above.
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Ok last one! I tried everything im completely lost! Need help one more time.
Answer:
33 degrees
Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90
90-57=33
Therefore 33 degrees is the answer
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A different computer is advertised as 30% off of the original price. After the discount, the tax is $78.75
• Determine the original price of this computer.
Show your work or explain your answer.
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
How to calculate original price of computer?The original price of the computer is 112.5 .The amount saved is 33.75The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Here,
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Coupon = 30% off
Coupon = 30% off= 78.75
This means that the cost of the computer is only 70% since 30% is off.
70% = 78.75
We know that the original price is 100%.
So,
70% = 78.75
Multiply 100/70 on both sides.
100/70 x 70% = 100/70 x78.75
100% =112.5
The original price of the computer is 112.5
The amount saved is:
112.5-78.75=33.75
Thus,
The original price of the computer is 112.5
The amount saved is 33.75
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Help please, I need to check my answer
[tex]\cfrac{45p^5q^4-60p^3q^2 - 15p^2q^3}{15p^2 q^3}\implies \cfrac{45p^5q^4}{15p^2 q^3}-\cfrac{60p^3q^2}{15p^2 q^3}-\cfrac{15p^2q^3}{15p^2 q^3}\implies 3p^3q-\cfrac{4p}{q}-1[/tex]
Indicated angles :
6. Find the measures of the indicated angles. Give reasons for your answers
Answer:
k\
Step-by-step explanation:
j
You are running a concession stand at a football game. You are selling snacks and sodas. Each order of nachos costs $2 and each soda costs $1.50. At the end of the night, you made a total of $125. You sold a total of 76 nachos and sodas combined. You must report the number of nachos sold and the number of sodas sold. What equations did you use to solve this
The equations are n + s = 76 and 2n + 1.50 s = 125.
let n = number of Nachos sold
let s = number of sodas sold
Two equations are presented to us, and we can use them together to solve one variable at a time.
Eq. 1: n + s = 76
Eq. 2: 2n + 1.50 s = 125
So, s = 76 - n
Put (76 - n) for s in the second equation
2n + 1.50 (76 - n) = 125
2n + 114 - 1.50 n = 125
2n - 1.50 n + 114 = 125
0.5n + 114 = 125
0.5n = 125 - 114
0.5n = 11
n = 22
s = 76 - 22
s = 54
22 nachos sold and 54 sodas sold.
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Miss Jennifer is buying pencils in packs of 12, notebooks in packs of 16, and red pens in boxes of 20. She needs to have the same number of pencils, notebooks, and red pens. How many packs of each type should she buy?
someone pls help
She needs to purchase 240 packets of each kind in order to have an equal amount of pencils, notebooks, and red pens.
what is LCM ?Least Common Multiple is referred to as LCM. The smallest number that is a multiple of both numbers is the least common multiple of the two. The first few multiples of each integer should be listed.
Look for duplicates that appear on both lists. Write out additional multiples for each number if the lists don't contain any common multiples. The least integer shared by both lists should be found. The LCM is this figure.
given
This entails determining the 16, 12, and 20 Least Common Multiples (LCM).
2⁴ = 16 = 2 * 2 * 2 * 2
2²*3 = 12 = 2 * 2 * 3
2²*3 = 12 = 2 * 2 * 3
2²*5 = 2 * 2 * 5
Keep in mind that LCM is the prime factorization of the involved integers multiplied by the highest power of each prime factor;
22 * 3 * 5 = 240.
She needs to purchase 240 packets of each kind in order to have an equal amount of pencils, notebooks, and red pens.
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A square board has an area of 144 square units. How long is each side of the board?
Answer: 12 units
Step-by-step explanation:
∴ Area of Square = side length × side length
⇒144 = lengt²
⇒length = √144
⇒length = 12 units ANSWER
hope that helps...
Augustus has made a pile of 2,000 candies, and he is giving away 25 candies a day from this pile. When will he have 350 candies left in this pile
Which planes contain point W? Select all that apply.
Multiple select question.
cross out
A)
plane B
cross out
B)
plane VWY
cross out
C)
plane VWX
cross out
D)
plane m
cross out
E)
plane RYV
cross out
F)
plane VWZ
The planes that contain point W from the given image are;
Plane V
Plane VWY
Plane RYV
How to identify planes?A coordinate plane is a graphing and description system for points and lines. A vertical y-axis and a horizontal x-axis make up the coordinate plane.
From the attached image, we see that the planes whose name contains V also contains W.
The plane B contains the line XR and the Line YV as well as the W at the line YV.
Finally, the plane m also contains line YV and obviously the same as plane RYU.
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WILL MARK BRRRRRRRRRRRRRRRRRRAIIIIIINNNNNNNNNNNNNLLLLLLLLLLIIIIIIIIIIIEEEEEEEEESSSSSSSSSSTTTTTTTTTTT
The volume of the cube, given the lengths of the small cubes used to make the larger cube, is 8 cm ³
The surface area of the cube is 24 cm ²
The total length of the edges of the cube is 24 cm
How to find the volume of a cube ?The volume of a cube can be found by the formula :
= Side x Side x Side
This is because all the sides of a cube at the same and so the volume would measure them three - dimensionally.
The side length of this cube is the length of two of the smaller cubes as these make up a side of the cube :
= 2 x 1
= 2 cm
The volume is therefore :
= 2 x 2 x 2
= 8 cm ³
How to find the area of a cube ?The surface area of a cube is:
= 6 x side ²
= 6 x 2 ²
= 24 cm ²
How to find the length of a cube ?The total length of the edges would be:
= 12 edges on a cube x length of each edge
= 12 x 2
= 24 cm
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20 h(x)=−x 2 8x20, determine the average rate of change of the function over the interval 0 ≤ x ≤ 5
The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.
What is the average rate of change?
The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.
To find the average rate of change of a function over an interval, we need to find the difference in the function values at the endpoints of the interval, divided by the difference in the x-values of the endpoints.
In this case, the function is h(x) = -x² + 8x, the interval is 0 ≤ x ≤ 5, and we want to find the average rate of change over that interval.
So, we can use the following formula:
Average rate of change = (h(5) - h(0)) / (5 - 0)
Now we have to substitute the values into the equation:
h(5) = -5^2 + 85 = -25 + 40 = 15
h(0) = -0^2 + 80 = 0
Average rate of change = (15 - 0) / 5 = 3
Hence, The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.
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