Titanium is used in aerospace (jet engines, missiles, and spacecraft), military, industrial processes (chemicals and petrochemicals, desalination plants, pulp, and paper), automotive, agriculture (farming), medical prostheses, orthopedic implants, dental and endodontic instruments and files, dental implants, sporting goods, jewelry, cell phones, and other applications, titanium can be alloyed with iron, aluminum, vanadium, and molybdenum, among other elements. And it's half life as per question is [tex]A(t)=A(500)*0.5^{\frac{t}{6} }[/tex]
What is titanium?The chemical element titanium has atomic number 22 and the symbol Ti. A transition metal with a silver hue, low density, and high strength that is resistant to corrosion in sea water, aqua regia, and chlorine can be created by reducing the only form it is found in the nature—an oxide.
William Gregor found the titanium in Cornwall, Great Britain, in 1791. Martin Heinrich Klaproth gave the metal the Titans' name from Greek mythology. The element is found in practically all living organisms, as well as bodies of water, rocks, and soils. It is mostly found in the minerals rutile and ilmenite, which are widely distributed in the Earth's crust and lithosphere. The Kroll and Hunter procedures are used to separate the metal from its main mineral ores. Titanium dioxide, the most prevalent substance, is a well-liked photocatalyst and is utilized in the production of white pigments. In addition, there are other substances such titanium tetrachloride (TiCl4), which is used in smoke screens and catalysts, and titanium trichloride (TiCl3), which is a catalyst in the creation of polypropylene.
This equation can be used to calculate the quantity of unstable nuclei left after time t:
[tex]N(t)=N(0)*0.5^{\frac{t}{T} }[/tex]
where,
N(t) = remaining quantity of substance after time t has elapsed
N(0)= initial quantity of this substance
T= half life
So, as per question,
[tex]A(t)=A(500)*0.5^{\frac{t}{6} }[/tex]
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Answer:
A = 500 (1-0.5)^t/6 =500 (0.5)^t/6
Step-by-step explanation:
Took the test, this is the correct answer
A(t)=P (1-decay rate)^t
P=initial amount
Decay rate = 1/2=0.5
t=time
Make sure use t in minutes for the next calculation
my dog has a 30%chance of tearing up the trash on a given day and there's a 10% chance of rain tomorrow. What is the chance that my dog tears up the trash and it rains tomorrow
The probability that that my dog tears up the trash and it rains tomorrow is 0.03.
How to illustrate the information?From the information, the dog has a 30% chance of tearing up the trash on a given day and there's a 10% chance of rain tomorrow.
Therefore, the that my dog tears up the trash and it rains will be:
= Probability of tearing up × Probability of rain
= 30% × 10%
= 0.3 × 0.1
= 0.03
The probability is 0.03.
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please show all work
i need help please.......................................................
Answer:
252558855555335555422358236
Answer:
[tex]y=\frac{-1}{4}x+2[/tex]
Step-by-step explanation:
The function can be written in point-slope form following this equation:
[tex]y=m(x-x_{0} )+y_{0}[/tex]
where y and x are variables, and [tex]x_{0}[/tex] and [tex]y_{0}[/tex] are x and y values of any chosen point on the curve (line)
m (slope) can be calculated by the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex] where you need to find 2 chosen points on the line where [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the x and y values of the first set, and [tex]x_{2}[/tex] and [tex]y_{2}[/tex] are the x and y values of the second set.
solve for m and we get [tex]-\frac{1}{4}[/tex]
Plug it into the equation with any set of x and y values on the line into the point-slope form equation, then you get the answer
4. ALGEBRA Jim Russo deposited into his savings account
a check for $536.75, a check for $347.50, and a third check.
His total deposit was for $1,253.25 after he received $75.00
in cash. What was the amount of the third check deposited?
Question 2 (1 point)
g(x) = x + 1
What is g(-16)?
g(−16) =
Previous Page
Next Page
N
L
Page 2
Answer:
[tex]g( - 16) = - 3[/tex]
Step-by-step explanation:
substitute
[tex]x = - 16 \: by \: g(x) = \frac{1}{4} x + 1 \\ g( - 16) = \frac{1}{4} x( - 16) + 1 \\ g( - 16) = - \frac{1}{4} x16 + 1 \\ g( - 16) = - 4 +1 \\ g( - 16) = - 3[/tex]
Solve the differential equation
[tex] \frac{dx}{dy} = \frac{1}{y( {x}^{2} + 1)} \\ [/tex]
Answer:
[tex]{ \sf{ \frac{dy}{dx} = y( {x}^{2} + 1)}} \\ \\ { \sf{ \frac{dy}{y} = ( {x}^{2} + 1)dx}} \\ \\ { \sf{ \int \frac{1}{y} dy = \int ( {x}^{2} + 1) \: dx}} \\ \\ { \sf{ ln(y) = \frac{ {x}^{3} }{3} + x + c }}[/tex]
Answer:
[tex]\large\text{$y& = e^{\frac{1}{3}x^3+x+\text{C}}$}[/tex]
Step-by-step explanation:
Given differential equation:
[tex]\dfrac{\text{d}x}{\text{d}y}=\dfrac{1}{y(x^2+1)}[/tex]
Rearrange the equation so that all the terms containing y are on the left side, and all the terms containing x are on the right side:
[tex]\begin{aligned}\implies \dfrac{\text{d}x}{\text{d}y}&=\dfrac{1}{y(x^2+1)}\\\\(x^2+1)\;\dfrac{\text{d}x}{\text{d}y}&=\dfrac{1}{y}\\\\(x^2+1)\;\text{d}x}&=\dfrac{1}{y}\;\text{d}y\\\\\dfrac{1}{y}\;\text{d}y&=(x^2+1)\;\text{d}x}\end{aligned}[/tex]
Integrate both sides:
[tex]\begin{aligned}\implies \displaystyle \int \dfrac{1}{y}\;\text{d}y &= \int (x^2+1)\;\text{d}x}\\\\\int \dfrac{1}{y}\;\text{d}y &= \int x^2\;\text{d}x}+\int 1\;\text{d}x}\\\\\ln y & = \dfrac{1}{3}x^3+x+\text{C}\\\\e^{\ln y} & = e^{\frac{1}{3}x^3+x+\text{C}}\\\\y& = e^{\frac{1}{3}x^3+x+\text{C}}\\\\\end{aligned}[/tex]
Therefore, the solution to the given differential equation is:
[tex]\large\text{$y& = e^{\frac{1}{3}x^3+x+\text{C}}$}[/tex]
Integration rules used:
[tex]\boxed{\begin{minipage}{3.5 cm}\underline{Integrating $\frac{1}{x}$}\\\\$\displaystyle \int \dfrac{1}{x}\:\text{d}x=\ln |x|+\text{C}$\end{minipage}}[/tex]
[tex]\boxed{\begin{minipage}{3.5 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}[/tex]
[tex]\boxed{\begin{minipage}{5 cm}\underline{Integrating a constant}\\\\$\displaystyle \int n\:\text{d}x=nx+\text{C}$\\(where $n$ is any constant value)\end{minipage}}[/tex]
Find an exponential equation that passes through the points (2,1.8) and (5,14.4) .
An exponential equation that passes through the points (2,1.8) and (5,14.4) is y = (0.6708)2ˣ
Exponential equation:
If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation
y = abˣ
and solving for a and b.
In general, you have to solve this pair of equations:
y1 = abˣ¹ and y2 = abˣ²
Given,
The points (2,1.8) and (5,14.4).
Here we need to find the exponential equation that passes through the points.
This yields the following pair of equations:
1.8 = ab²
14.4 = ab⁵
If you divide the second equation by the first, you get
b³ = 14.4/1.8
b³ = 8
b = ∛8
b = 2
so b = 2. It's possible for b to also be equal to -2, but in this case, assume it's positive.
Now, we can substitute this value for b in either equation to get a. It's easier to use the first equation, so:
1.8 = a² x (2)²
1.8 = a² x 4
a² = 1.8/4
a² = 0.45
a = √0.45
a = 0.6708
Therefore, the exponential form of the equation is,
y = (0.6708)2ˣ
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The longest side of a triangle must be less than the sum of the other two sides.
Suppose a triangle is made up of lengths 2 inches, 5 inches and L. inches, where L is the longest side.
Describe the solution set for all possible side lengths for L verbally and graphically.
The solution set for all possible side lengths for side L is;
⇒ L < 7
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles.
Given that;
The longest side of a triangle must be less than the sum of the other two sides.
Suppose a triangle is made up of lengths 2 inches, 5 inches and L. inches, where, L is the longest side.
Now, By the given condition;
''The longest side of a triangle must be less than the sum of the other two sides.''
We can formulate;
L < 2 + 5
L < 7
So, The solution set for all possible side lengths for side L is;
⇒ L < 7
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HELP!
lines G and H are parallel.
find the measures of angles 1,2 and 3.
The measure of angle:-
angle 1 = 78 degree
angle 2 = 40 degree
angle 3 = 140 degree
what is triangle ?A triangle is a type of polygon which have only three vertices and no parallel sides.
In this question we use property of triangle that :-
1:- Sum of interior angle is 180 degree
2:-Exterior angle of a triangle is equal to the sum of angle of opposite sides
A.T.Q:-
lets vertices of triangle be A,B, and C
so,
angle A + angle B +angle C = 180
62 +78+ angle C = 180
140 + angle C = 180
angle C =40 degree
we know that , angle C and angle 3 makes 180 degree
angle C + angle3 =180 , 40+ angle 3= 180
angle 3 = 140 degree And , angle 2 = angle C
:- angle 2=40 finally;
angle 1 = angle B
angle 1 = 78 degree
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the inverse of conditional w > ~v
The inverse of the conditional statement w > ~v is ~v < w
What is an inverse statement?An inverse statement is seen as a type of conditional sentence having an immediate change that is made from original statement.
It is known to carry the negation of both the hypothesis and conclusion from the given original statement.
It is known to carry the opposite of the original statement that is given.
An inverse statement is formed by negating the hypothesis and conclusion of a statement.
It is expressed as;
Original statement: If a, then b
Inverse statement: If not b, not a
Given the expression;
w > ~v
The inverse is represented as;
~v < w
Hence, the inverse is ~v < w
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shape J is reflected in the line y=x and then translated. The result is shape K. a) what is the vector that describes the translation? b) if shape J was first translated and then reflected in the line y=x to give shape K, what would the vector be that describes that translation?
Using transformations, the vector that describes the translation that J underwent is:
(x,y) -> (x - 1, y + 2).
Which rules model these transformations?The vertices of the transformed figure K are given as follows:
(4,0), (6,0), (6,-1), (5,-1), (5,-2), (4,-2).
The rule for a reflection about the line y = x is given by:
(x,y) -> (y,x).
Hence, taking the vertices of figure K, the vertices of the translated figure were given by:
(0,4), (0,6), (-1,6), (-1,5), (-2,5), (-2,4).
The vertices of the original figure J are given as follows:
(1,2), (1,4), (0,4), (0,3), (-1,3), (-1,3).
Hence the vector rule from J to the translated figure is given as follows:
(x,y) -> (x - 1, y + 2).
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please help im struggling
Label the points, lines, and planes to show Line AB and line m perpendicular to each other in plane S at point B, plane S intersecting plane R in line p, and Line AB both perpendicular to line p and intersecting line n at point A.
The labelled points on the intersected planes shown in the attachment are;
1) Lines AB and m are both coplanar on plane S and are perpendicular to each other intersecting at point B
2) Plane R and plane S intersect on line p
3) Line AB and line p are perpendicular to each other and both intersect with line n at point A
How to label intersecting planes?We want to label the points, lines, and planes showing the following;
Line AB and line m perpendicular to each other in plane S at point B.
Plane S intersecting plane R in line p.
Line AB both perpendicular to line p and intersecting line n at point A.
Therefore, the given parameters are;
1) Lines AB and m are both coplanar on plane S and are perpendicular to each other intersecting at point B
2) Plane R and plane S intersect on line p
3) Line AB and line p are perpendicular to each other and both intersect with line n at point A
The diagram showing the labelled points is as attached.
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What is the total amount to be paid on a 9 year, $60,500 loan at 7.3% p.a.?
The total amount to be paid on a 9 year, $60,500 loan at 7.3% p.a. is $100248.50.
How to calculate the amount?It should be noted that simple interest is calculated as:
Interest = Principal × Rate × Time / 100
Interest = 60500 × 7.3 × 9 / 100
Interest = $39748.50
It should be noted that the amount will be the addition of the principal and the interest. This will. be:
= Principal + Interest
= $60500 + $39748.50
= $100248.50
The amount is $100248.50.
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100 POINTS!
You want to buy a newest gaming system, which costs $500. In addition, you want to be able to buy the accessories that go with it (e.g., controllers, games, headset, etc.). You already have $150 saved up from your birthday but decide to ask your neighbors if you could wash their dogs to earn more money. You charge $10 per dog.
How many dogs must you wash before you have enough money to buy the gaming system and additional accessories?
Write an equation or inequality to represent the situation. Then solve for your variable [show all steps].
Write a mathematical expression to represent the sentence: “You charge $10 per dog.”
Write a complete sentence that explains what your solution means in terms of the video game system situation.
Assuming the system costs exactly $500 (ignoring taxes), how much extra money would you be able to spend on accessories if you washed 60 dogs? Explain and show your work to justify your answer.
The inequality that represents having enough money to buy the gaming system is x ≥ 35.
The mathematical expression that represents the sentence " you charge $10 per dog" is x = 10 where x is the number of dogs.
x ≥ 35 means that the minimum number of dogs to wash is 35 to make $500.
What is inequality?It is a statement of an ordered relationship
- greater than,
- greater than or equal to,
- less than,
- less than or equal to between two numbers or algebraic expressions.
We have,
The cost of the gaming system = $500
Amount already saved = $150
Charges per dog = $10
The inequality that represents having enough money to buy the gaming system:
150 + 10x ≥ 500
10x ≥ 500 - 150
10x ≥ 350
x ≥ 35 where x is the number of dogs.
The mathematical expression that represents the sentence " you charge $10 per dog ":
x = 10 where x is the number of dogs.
x ≥ 35 means that the minimum number of dogs to wash is 35 to make $500.
Thus,
The inequality that represents having enough money to buy the gaming system is x ≥ 35.
The mathematical expression that represents the sentence " you charge $10 per dog" is x = 10 where x is the number of dogs.
x ≥ 35 means that the minimum number of dogs to wash is 35 to make $500.
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Find area of the figure. Round your answer to nearest hundredth and use 3.14
Answer
Area of the figure = 105.12 ft²
Explanation
The figure shown is a combination of a rectangle with length 10 ft. and width 8 ft., with a semicircle that has diameter 8 ft., which translates to a radius of 4 ft.
The area of the figure = (Area of the rectangle) + (Area of the semicircle)
Area of rectangle = L × W
L = Length = 10 ft.
W = Width = 8 ft.
Area of the rectangle = 10 × 8 = 80 ft²
Area of semicircle = Half of the area of a circle = ½ × πR²
π = pi = 3.14 (According to the question)
R = Radius of the semicircle = 4 ft.
Area of semicircle = ½ × 3.14 × 4² = 25.12 ft²
Area of the figure = 80 + 25.12 = 105.12 ft²
Hope this Helps!!!
Apple has created a new i-Pad. There are 4 choices for memory size (M), 8 choices for color (C) and 3 apps (A) to select when you purchase the product. From the options below what is the ONLY option the customer can select?
It is to be noted that the ONLY option that the customer can select from when purchasing the product is "(M2, C2, A3)" Option C.
The above exercise is a test of logic, as it is with a simple calculation.
What is logic in Maths?The study of formal logic within mathematics is known as mathematical logic. Mathematical logic research frequently focuses on the mathematical aspects of formal logic systems, such as their expressive or deductive capability.
Hence, from the above, we can see that:
Option (a) contains four App alternatives, which is not feasible. Option (b) contains nine color options, however, only eight are available. This is also not feasible.Option (d) contains eight App options, but only three are available. Hence this is not possible.Learn more about logic:
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Full Question:
Apple has created a new i-Pad. There are 4 choices for memory size (M), 8 choices for color (C) and 3 apps (A) to select when you purchase the product. From the options below what is the ONLY option the customer can select?
(M1, C2, A4)
(M1, C9, A3)
(M2, C2, A3)
(M4, C2, A8)
The depth of water in a tank thats in the shape of a rectangular prism is inversely proportional to the area of its base if the tanks volume is kept constant. if the area of the tanks base is 200 square feet, the depth of the water in the tank is 12 feet. which pair of statements best describe this situation
The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let d represent the depth of the tank, b represent the area of the base and V represent the volume.
The depth of water is inversely proportional to the area of its base at constant volume. Hence
d = V/b
When b = 200 ft² and d = 12:
12 = V/200
V = 2400
d = 2400/b
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A paralegal bills a law firm for 15.5 hours of work at a rate of $120 per hour. How much money has the paralegal earned from this job? Include units in your answer.
b) The paralegal splits her earnings between utilities and savings in a ratio of 2 ∶ 3. How much money will be allocated to her savings?
The amount paralegal earned from the job is 1860 dollars.
The amount allocated for savings is 1116 dollars.
How to find the earnings of paralegal?Paralegal bills the law firm for 15.5 hours of work at a rate of $120 per hour.
Therefore, the law firm have to pay paralegal 120 dollars for every hour worked.
Therefore,
the amount earned by paralegal = 15.5 × 120
the amount earned by paralegal = 1860 dollars
Paralegal splits her earnings between utilities and savings in a ratio of 2 ∶ 3.
Therefore, let's find the amount of money allocated for her savings.
amount allocated for savings = 3 / 5 × 1860
amount allocated for savings = 5580 / 5
Therefore,
amount allocated for savings = 1116 dollars
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A car consumes 110 litres of fuel withira a distance of 250km What is the rate of fuel consumption in km/L?
If a car consumes 110 liters of fuel with in a distance of 250 km, then the rate of fuel consumption is 2.5 km/liter
The distance travelled by the car with 110 liters of fuel = 250km
To find the rate of fuel consumption we have to apply the unitary method
The distance travelled by the car with 1 liters of fuel = The distance travelled by the car with 110 liters of fuel /110
Substitute the values in the equation
The distance travelled by the car with 1 liters of fuel = 250/110
= 2.5 km
So a car consumes 1 liters of fuel to cover 2.5 km
The rate of fuel consumption = 2.5 km/liter
Hence, if a car consumes 110 liters of fuel with in a distance of 250 km, then the rate of fuel consumption is 2.5 km/liter
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The line below is the function y=2x-1. Identify the equation of a parallel line
The equation of parallel line is y = 2x + 3
Given,
The line below is the function y=2x-1.
From the figure,
Identify the equation of a parallel line.
Now, According to the question:
We are given that line a represented by the equation
y = 2x -1
and, We know that
Slope- intercept form of line is given by
y = mx + c
Where m=Slope of line a
c = y- intercept
Comparing it with the given equation then, we get
Slope of line a = 2
We know that
When two lines are parallel then their slopes are equal.
Hence, Option (b) slope is equal to the given function
It means, y = 2x - 1 and y = 2x +3
Value of slope m = 2 = 2
Hence, The equation of parallel line is y = 2x + 3
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A recent report at a particular college said that 5476 students are taking math this semester, which represents 79% of the student population.
How many students attend this college?
Round answers to the nearest whole number as needed.
Answer: 6931
Step-by-step explanation:
79% of all students are taking math this semesters. So there is an additional 21% of students not taking math.
5476/x = 79/100
cross multiply and divide to get the total number of students.
5476 x 100 = 547600
547600 divided by 79 = 6931
check 5476 divided by 6931 = 79%
Further proof of correct answer:
21% of 6931 = 1455
1455 + 5476 equals 6931, so the answer calculated is correct.
57 POINTS 2 QUESTIONS HELP ASAP
Given p(x)=−3(x−4)^2+14, what is the value of p(2)?
What is the value of f(3) for the function described in the table?
Answer:
p(2) = 2
f(3) = 7
Step-by-step explanation:
Given p(x) = -3(x - 4)² + 14 find p(2)
Simply substitute x with the value 4 in the above expression
p(2) = -3(2-4)² + 14
= -3(-2)² + 14
= -3(4) -+ 14
= -12 + 14
= 2
f(3) can directly read from the table
for x = 3, f(x) = 7
so f(3) = 7
You've learned about linear, quadratic, and exponential functions.
How can you tell the difference between each type of function just by looking at the equation?
Describe a real world situation that can be represented by each type of function.
We can tell the difference among linear, quadratic, and exponential functions just by looking at equation as Exponent functions are rapidly increasing or decreasing, and the highest power of variable for a linear function is 1. The highest power of variable for a quadratic function is 2.
Linear functions are functions that are used to model phenomena that increase or decrease at a constant rate. These types of functions are polynomial functions with a highest exponent of one on the variable. The graphs of these functions are in the shape of a straight line.
Exponential functions are functions that have the variable in the exponent. They increase or decrease slowly then quickly or quickly then slowly.
Quadratic functions are the functions that have the highest power of variables equal to 2.
For example,
Linear Equation : The population of a family of rabbits starts with 2 rabbits and doubles every month.
Expoential Equation : Compound interest is example of exponential function.
Quadratic Equation : When you throw a ball (or shoot an arrow, fire a missile or throw a stone) it goes up into the air, slowing as it travels, then comes down again faster and faster and a Quadratic Equation tells you its position at all times!
Therefore, we can conclude that linear function have highest power of variable as 1 , exponent functions are quickly increasing or decreasing, Quadratic functions have the power of variables equal to 2.
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50 POINT HELP FAST LOOK AT THE SCREENSHOT
Answer:
6(3+7)
Step-by-step explanation:
The factors of 18 are 1, 2, 3, 6, 9, 18.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42.
The greatest common factor is six.
To put it in distributive form, divide both by 6:
6(3+7)
find the value of y 18y+5
Answer:
y=13
Step-by-step explanation:
Which of the ten basic functions in
our toolkit are decreasing on the
interval (-∞, 0)?
15,0
Step-by-step explanation:
What is an equation of the line that passes through the point (-1, 4) and is
parallel to the line x + y = 4?
The equation of the line is y = -1x + 3.
what is parallel lines?Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline. In this essay, let's study more about parallel lines. No matter how far we extend a parallel line, it will never meet another parallel line.
The slope so rewrite the equation for the line as y = -x + 1.
The equation in “y = mx + b” form, the slope is always the number m in front of x.
The slope is -1.
First, by using “y = mx + b” form,
we know m is -1 so only need b.
To get b, plug in the (x, y) coordinates for the point (-1, 4)
(4) = -1×(-1) + b.
The y-coordinate 4 on the left side, and the x number -1 on the right.
b = 3.
Therefore, the equation of the line is y = -1x + 3.
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Please help I’ll mark you as brainliest if correct!!
As a result of the sequences, the numbers for the first equation are 31,37,43, 64,128,256, and 37,42,47 for the second and third equations, respectively.
What is Arithemetic Progression?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.
What is Geometric Progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
so for the first equation:
we see the common difference is constant :
second term/third term - first term/second term =7-1 or 13-7
=6
the next three terms in this series would be calculated by adding the common difference to consecutive last terms =31,37,43
for the third equation
the common difference is a constant:
second term-first term=5
the next three terms in this series would be calculated by adding the common difference to consecutive last terms =37,42,47
for the second equation we don't see a constant value as a common difference ,then we conclude that it is a Geometric progression
difference in series = second term/first term
=4/2
=2
so for the three consecutive terms we will multiply the last consecutive terms by 2=64,128,256
Therefore the numbers for First equation are 31,37,43 for the second equation are 64,128,256 and third equation are 37,42,47
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I need help with this pls
nswer:
cvents A and B are independent because P(A|B) = P(A)
pxplanation:
f aA and B are independent, then:
[tex]P(A\text{ }and\text{ }B)=P(A)\cdot P(B)[/tex]In this case,
P(A) = 0.4, P(B) = 0.2
If we multiply:
[tex]P(A)\cdot P(B)=0.4\cdot0.2=0.08[/tex]Which verify what the problem tell us.
Next, the definition of two independent events is P(A|B) = P(A)
It's possible to build a triangle with side lengths of 3, 3, and 9.
A. True
B. False
Answer:
true
Step-by-step explanation: