P(A or B) =
Formula: P(AUB)=P(A)+P(B)-P(A n B)
We roll six-sided die.
Then sample space ={1,2,3,4,5,6}
And
Event A: Roll an odd number.
Odd numbers are {1,3,5}
Event B: Roll a number less than 5
Number less than 5 are {1,2,3,4}
So, Probability P(A)=
Probability P(B)=
Now, the odd number which is less than 5 are {1,3}
So, P(A n B)=
Since P(AUB)=P(A)+P(B)-P(A n B)
Therefore, P(A or B) = 1/6
4 divided by 6 as a fraction draw picture
A kindergarten class has 24 children. The teacher wants them to get into 4 equal groups. How many children will be put in each group?
The number of children in each group is 6.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
A kindergarten class has 24 children.
The teacher wants them to get into 4 equal groups.
That means,
the number of the children in a group,
= total number of children / number of groups
= 24 / 4
= 6
Therefore, the number of children in a group is 6.
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Sue and Pam are sisters, but they live far from each other. They both
want a garden at their respective homes, and they decide they want to
build identical flower gardens that are in the shape of a triangle.
They spend a lot of time emailing and talking on the phone, trying to
figure out how to make these triangular gardens exactly the same.
• Sue suggests that they each make their gardens with brick walls
outlining the gardens, and they should make sure all three angles
of the two triangles are the same: 30, 60, and 90. Sue asserts
that this will make their gardens congruent.
Pam likes the idea of the wall, but instead she thinks that they
should make their triangles equal by making one wall 7 feet long
with a 30 angle attached to it. Sue says the other two walls
will match up to make a triangle, and that their triangles will
be equal.
The two women can't agree on the best method. They hire you to help
them with the design.
Determine if either of their methods will create congruent
triangular gardens. Use your congruent triangle theorems, like
SSS, ASA, SAS, to decide.
If you don't think that a method will work, you must explain why
the method will not work.
How do you think Sue and Pam should create congruent triangular
gardens?
On solving the provided question we can say that so SAS, the are congruent triangles
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
we have to triangles
with angles as 30,60,90 and 60,60,90 respectively
and 2 sides of 7 cm each.
so SAS, the are congruent triangles
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i need help with this math question !
Therefore , the solution of the given problem of inequality comes out to be x=-3 or x<-3.
Define inequality.In mathematics, an inequality is a linking of two equations or numbers when there isn't an equal sign. Unbalance therefore precedes inequity. When two numerical values are not equal, an inequality results in a relationship between them. Egality and inequality are not the same. Where variables are not similar or equal, have used the most common symbol (). There are various inequalities that can be utilized to contrast values regardless of how small or huge they are. Switching the two sides it until variables represent all that is left can address a variety of basic inequality problems. The combination or division with low values from both sides are only a few examples of the many factors that might cause inequality. You switch sides and the left.
Here,
Given : -3x ≤ 9
=> x ≤ 9/-3
=>x ≤ -3
Thus , x=-3 or x<-3
Therefore , the solution of the given problem of inequality comes out to be x=-3 or x<-3.
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Frequency tables are more versatile than line plots because you can change
the size of the groupings on the horizontal axis depending on how detailed of
a graph you want.
о A. True
O B. False
In a frequency table, the frequency at which each value appears in a data collection is used to summarise the data set.
What is the difference between frequency table and a line plot?In a frequency table, the frequency at which each value appears in a data collection is used to summarise the data set. The frequency of data over a number line is depicted on a graph called a line plot. Data that is arranged numerically is referred to as organised data.
A line plot is a graph that shows information as dots or checkmarks above a number line, indicating the frequency of each value. The line plot, for instance, displays the quantity of ribbons in this case, broken down by length. Line graphs and plots of lines are frequently mistaken. Compared to a line graph, a line plot is distinct.
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A mass of a basket with 60 apples was 3 1/5 kg. The mass of an identical basket
with 40 apples was 2 2/5 kg. What was the mass of the empty basket?
Give your answer as a fraction in its simplest form.
The weight of a basket containing 60 apples was 3 1/5 kg. An identical basket containing 40 apples weighed 2 and a half kilograms. It weighs 150 pounds.
Is an apple a gram or kilogram?The typical weight of an apple ranges from 150 g to 250 g. A 10 g error was discovered in the weight of each apple. The average weight of apples is calculated by dividing the total number of apples by the actual weight of the apples. Consequently, 10 apples actually weigh 62 g on average. As an apple is rather little, the measurement should be in grams.
Apples have a high fiber content. About 4 grams, or 17% of the Daily Value, of this vitamin may be found in a single medium-sized apple (100 grams) (DV). We divide the mass of the element in 1 mole of the compound by the compound's molar mass and multiply the result by 100 to determine the mass percent of the element in the compound.
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Figure A is a scale image of figure B.
Figure A maps to figure B with a scale factor of [tex]2/7[/tex]
The value if side x is 42
How are scale drawings formed?For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
Given;
Scale factor= 12
Now, to find the value of x;
We will divide 12 by the scale factor
=12/(2/7)
=(12x7)/2
=42
Therefore, with scale factor 2/7 the side x of figure A will be 42
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Find equation of the line that passes through the point a and point b
A=(1,7) B=(-3,-1
)
Answer:
Step-by-step explanation:
The equation of the line can be found using the two-point form:
y = mx + b
where m is the slope between the two points and b is the y-intercept.
For the given points A and B:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) is point A and (x2, y2) is point B
m = (-1 - 7) / (-3 - 1) = -8/ -4 = 2
Next, find b using one of the points and the slope:
b = y - mx
b = 7 - 2 * 1 = 5
So, the equation of the line is:
y = 2x + 5
(Look at picture) ty btw :)!!!!! <3
By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.
what is expression ?Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression Numbers, variables, and functions make constitute a mathematical expression. It is possible to contrast phrases and expressions. the practice of expressing one's opinions or demonstrating one's feelings by words or deeds: As a sign of his affection, he penned her a poem.
given
y^3/4 / y^1/2
= y^3/4 y^ -1/2
y ^( 3/4 - 1/2)
y^(-1/4)
By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.
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A carpenter installing cabinets uses thin pieces of material called shims to fill gaps. The carpenter uses four shims to fill gap that is 1.5 centimeters wide. The width of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter. What is the width of the fourth shim
The width of the fourth shim used by a carpenter is, 0.525 centimeter.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The carpenter uses four shims to fill gap that is 1.5 centimeters wide.
And, The width of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter.
Now, Let the width of the fourth shim used by a carpenter = x
So, We can formulate;
⇒ x + 0.75 + 0.125 + 0.1 = 1.5
⇒ x + 0.975 = 1.5
⇒ x = 1.5 - 0.975
⇒ x = 0.525 centimeter
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Solve if x=11. X+44/2×=
How do you resolve this
Answer:
33
Step-by-step explanation:
11+44/2=11+22=33
1. You are participating in a fundraiser in which you do yard work for donations. People can
donate money based on a flat fee or based on the number of hours you work. So far, you
have two donors. Your teacher has agreed to donate $10 and your brother has agreed to
donate $2.25 per hour. If together they donated $39.25, write the equation that represents
this situation, then solve.
Look at photo please
The equation that represents the given situation is; 10 + 2.25x = 39.25
How to solve Algebra Word Problems?The following are in the question;
One time donation = $10
Hourly donation = $2.25
Total donation = $39.25
Number of hours = x
Thus, the required equation is:
10 + 2.25x = 39.25
Solving for x:
Subtract 10 from both sides;
2.25x = 39.25 - 10
2.25x = 29.25
x = 29.25/2.25
x = 13
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ANSWER ASAP PLEASEEEEEE
65 = x - 12 sdfgjkl;
Answer:
Step-by-step explanation:
Hi! To do this problem, you have to add 12 to both sides to get x by itself since you want to find what x equals. What you do is: x - 12 + 12 = 65 + 12. You would get x = 65 + 12. Find what 65 + 12 is and you will get your answer. I hope this helps!
QUESTION 2 1 POINT
Given the table of values below, find the average rate of change of the function f(x) on the interval [4, 12].
O 14
23
Select the correct answer below:
19
O 17
18
x
f(x)
Content attribution
3
67
4
81
5
87
6
124
7
141
8
144
9 10
175
194
11
220
12
233
FEEC
The average change per unit of time when the value of the function f(x) on the interval [4, 12] is shown in the table is 128/7, or 18.29.
what is function ?Volumes and their variances, equations and parts, shapes and their placements, and locations where they can found are all included in the study of mathematics. The relationship between one group of stimuli, each of which has a related output, is referred to as a "function." A function is a relationship between the inputs and outputs where each input produces a single, unique result. Every function has a domain but a codomain, often known as a scope. F is typically used to signify functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, yet another functions, so several functions, within functions, and then on functions.
given
The slope of the line connecting the two locations represents the average rate of change.
The formula provides that information.
m = (y2 -y1)/(x2 -x1) (x2 -x1)
m = (251 -123)/(14 -7) = 128/7 = 18 2/7 ≈ 18.29
The average change per unit of time when the value of the function f(x) on the interval [4, 12] is shown in the table is 128/7, or 18.29.
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How many solutions does the system have? { y = 4 x − 8 4 y = 4 x − 8 y=4x−8 4y=4x−8
Therefore , the solution of the given problem of linear equation comes out to be x= 2 and y=0.
How a linear equation is defined ?A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Despite the fact because both y and x are distinct components, the previous sentence is frequently referred to it as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases. The equation for a solitary linear equation is Y=mx+b, where m stands for the elevation and b for the y-intercept. Y=mx+b, where m stands for slopes and b for the y-intercept, is how the equation is expressed.
Here,
Given :
=> y = 4x -8
=> 4y=4x−8 or y = x -2
So,
=> y =4x-8
Thus,
=> 4x -8 = x-2
=> 3x =6
=> x =2
and
=> y = 8-8 =0
Therefore , the solution of the given problem of equation comes out to be x= 2 and y=0.
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does x = y - 2/9 show direct variation
The equation:
x = y - 2/9
Does not show a direct variation.
Does that equation show a direct variation?A direct variation between two variables x and y can be written as:
y = k*x
Where k is a constant and it is called the constant of proportionality.
In this case, the given equation is:
x = y - 2/9
We can rewrite that as:
y = x + 2/9
Where you can see we have a constant term equal to 2/9, so no, this is not a direct variation, as in the direct variation there is no constant term.
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Ernie can plow a field alone in four hours. It takes Sid five hours to plow the same field alone. If they work together (and each has a plow), how long will it take to plow the field?
The time that it will take to plow the field together is 2 2/9 hours.
How to calculate the value?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
Based on the information, this will be illustrated as:
1/4 + 1/5 = 1/t
where t = rate together
5/20 + 4/20 = 1/t
9 / 20 = 1 / t
9t = 20
Divide
t = 20 / 9
t = 2 2/9 hours.
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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 20 feet and a height of 16 feet. Container B has a diameter of 18 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.
The volume of water in container B to the nearest tenth of a cubic unit is 20.1 cubic units
How to determine the volume of water?This talks about the quantity or the amount of water the container B can hold after container A has been emptied.
We should note here that the volume of water in container B is the same quantity of water in container A.
This implies that Volume = πm(20)²(16)
Volume = 22/7 * 400 * 16
Volume = 140800/7
Therefore, the volume of water B can contain is 20.1 cubic units
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Complete question:
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 20 feet and a height of 16 feet. Container B has a diameter of 18 feet and a height of 18feet. Container A is full of water and the water is pumped into Container B until Container A is empty. After the pumping is complete, what is the volume of water in container B to the nearest tenth of a cubic unit?
How much is 5/9 of -3/5
Answer: -0.333 repeating
Step-by-step explanation:
5/9 x -3/5 = -0.3 repeating decimal
Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)
What is the solution to the system of equations?
The variable mappings that satisfy all component equations are the solutions of systems of equations, or the points where the components of these equations overlap.
what is equations ?Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.
given
The variable mappings that satisfy all component equations are the solutions of systems of equations
, or the points where the components of these equations overlap.
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Which mathematical words describe (x−2) in the expression 4(x−2)+1? Select ALL that apply.
term
term
factor
factor
difference
difference
constant
constant
coefficient
The mathematical words describe (x−2) are term, factor, difference, constant, and coefficient
What is an mathematical expression?An mathematical expression is a combination of numbers, symbols, and operations that represent a value or a relationship between values.
Mathematical words that describe (x−2) in the expression 4(x−2)+1 include:
Term: A term is a single number, variable, or the product of a number and one or more variables. In this expression, (x−2) is a term.
Factor: A factor is a number or algebraic expression that divides another number or expression without a remainder. In this expression, (x−2) is a factor, since 4 divides it without a remainder.
Difference: A difference is the result of subtracting one number or expression from another. In this expression, (x−2) is a difference, since it is the result of subtracting 2 from x.
Constant: A constant is a number or expression that has a fixed value. In this expression, (x−2) is a constant, since its value is fixed even when x changes.
Coefficient: A coefficient is a numerical factor that multiplies a variable. In this expression, 4 is the coefficient of (x−2).
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Write a method that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14. Use Math.random() to generate random numbers.
This method must be called randomize() and it must take a Rectangle parameter.
You can call your method in the program's main method so you can test whether it works, but you must remove or comment out the main method before checking your code for a score. You will also need to make sure you do not remove the import statement "import testing.Math" as this is required to check your code for a score.
in java
The method for the rectangle is written in italic using Java as shown below
How to write a method in Java that takes a Rectangle as a parameter?Below is a method in Java that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14.
import java.awt.Rectangle;
public void setRandomDimensions(Rectangle rect) {
int length = (int) (Math.random() * 6) * 2 + 10; //generates a random even integer between 10 and 20
int width = (int) (Math.random() * 4) * 2 + 7 + 1; // generates a random odd integer between 7 and 13
rect.setLength(length);
rect.setWidth(width);
}
Note: The method uses the setLength() and setWidth() methods of the Rectangle class to set the length and width of the rectangle to the generated random numbers.
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How many square inches larger is the area ABC then CDE shown in figure
Answer:
D
Step-by-step explanation:
the area (A) of Δ CDE is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 8 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 8 × 6 = 4 × 6 = 24 cm²
Δ CDE and Δ ABCare similar ( AA postulate )
given the scale factor of 2 similar figures is k
then the factor of their areas is k²
here the scale factor k of the 2 triangles is the ratio of corresponding sides , Δ CBA to Δ CDE , then
k = [tex]\frac{AB}{CD}[/tex] = [tex]\frac{12}{8}[/tex] = 1.5
then the ratio of their area is 1.5² = 2.25
that is area of Δ ABC is 2.25 times area of Δ CDE
area o Δ ABC = 2.25 × 24 cm² = 54 cm²
then 54 cm² - 24 cm² = 30 cm²
Thus
area of Δ ABC is 30 cm² greater than Δ CDE
NEED HELP ASAP PLS AND THX Picture is attached
Answer:
B.CD
Step-by-step explanation:
they connect at
convert the following
1. 518 farenheight to celsius
200 celcius to farenheight
Answer:The Fahrenheit (symbol: °F) is a unit of temperature that was widely used prior to metrication. It is currently defined by two fixed points: the temperature at which water freezes, 32°F, and the boiling point of water, 212°F, both at sea level and standard atmospheric pressure. The interval between the freezing and boiling point is divided into 180 equal parts.
Step-by-step explanation: HOPE THIS HELPS :)
f(x) has domain
✔ {–4, –2, 0, 2, 4}
, and range
✔ {–2, –1, 0, 1, 2}
.
The rule that maps each domain value to its range value is f(x) =
x.
Answer:
f(x) = 0.5x
Step-by-step explanation:
note that each of the values in the range is half its corresponding value in the domain
- 4 ÷ 2 = - 2
- 2 ÷ 2 = - 1
0 ÷ 2 = 0
2 ÷ 2 = 1
4 ÷ 2 = 2
then
f(x) = [tex]\frac{1}{2}[/tex] x = 0.5x
The table below shows the ratios of black to white keys on pianos of various sizes.
Black A 36 63 90
White 13 B 91 C
Determine which table has the correct values for A, B, and C.
Black 9 36 63 90
White 13 52 91 130
Black 10 36 63 90
White 13 52 91 117
Black 9 36 63 90
White 13 39 91 117
Black 3 36 63 90
White 13 65 91 104
The table with the correct values for A, B and C is given as follows:
Black 9 36 63 90
White 13 52 91 130
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The input and output variables for this problem are given as follows:
Input: number of black keys.Output: number of white keys.Then the constant k is obtained as follows:
91 = 63k
k = 91/63
k = 13/9.
Hence the equation is:
y = 13x/9.
Hence the values are given as follows:
A: when x = 9, y = 13.B: when x = 36, y = 13 x 36/9 = 52.C: when x = 90, y = 13 x 90/9 = 130.Hence the first table is correct.
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The diameter of a circle is 5 inches. Find the length of it radius
The length of its radius is 2. 5 Inches
What is a circle?A circle can be described as a shape that consists of all the points in plane that are at a equidistance from a given point, which is the center.
The diameter of a circle is defined as the length of the line that passes through the center and also touches two points on the equidistant edges of the circle.
It is represented with the letter, 'D'
Also, the radius of a circle is defined as the distance from the center of the circle to any of the point on the circumference of that circle.
The formula for radius of a circle is expressed s;
Radius = Diameter/2
The,
Radius = 5/2
Radius = 2. 5 Inches
Thus, the value is 2. 5 Inches
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please help me with math i’ll give you brainlist!!
X intercept: 10/5 = 2
Y intercept: 10/-2 = -5
How find x intercept and y interceptThe x intercept is the point where the line crosses the x-axis and the y intercept is the point where the line crosses the y-axis.
To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.
In this question,
1. To find x intercept, set y = 0
5x - 2(0) = 10
5x = 10
x = 2
2. To find y intercept, set x = 0
5(0) - 2y = 10
-2y = 10
y = -5
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