The probability of the union of events a and b is 0.21. the sum of their individual probabilities : P(a ∪ b) = 0.01 + 0.2 = 0.21. Events a and b are mutually exclusive, it means that they cannot both happen at the same time.
In the event that occasions an and b are totally unrelated, it implies that the two of them can't occur simultaneously. In this way, the likelihood of their association (that is, the likelihood that either occasion an or occasion b will happen) is the amount of their singular probabilities:
P(a ∪ b) = P(a) + P(b)
Considering that P(a) = 0.01 and P(b) = 0.2, we can ascertain the likelihood of their association:
P(a ∪ b) = 0.01 + 0.2 = 0.21
In this way, the likelihood of the association of occasions an and b is 0.21.
The likelihood of occasion An incident is 0.01 and the likelihood of occasion B happening is 0.2. Assuming that these occasions are fundamentally unrelated, it implies the two of them can't occur simultaneously. The complete opportunity of either occasion An or occasion B happening is found by including the singular probabilities. In this way, the likelihood of occasion An occurrence or occasion B happening is 0.01 + 0.2 = 0.21. In basic terms, the opportunity of either occasion happening is 0.21.
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The radius of a quarter circle is 4 inches. What is the quarter circle's area
Answer:
i think its 3.14, im not sure though srry
Step-by-step explanation:
Kala wrapped 48 gifts. Kala wrapped 6 times as many gifts as Juan. Let n be the number of gifts that Juan wrapped.
Answer:
Juan wrapped n gifts.
Kala wrapped 6n gifts. (because she wrapped 6 times as many gifts as Juan)
Kala wrapped 48 gifts in total (as stated in the problem)
So, 6n = 48
n = 8 (by dividing both sides by 6)
So, Juan wrapped 8 gifts.
Answer:
8 gifts.
Step-by-step explanation:
If Juan wrapped n gifts, then Kala wrapped 6n gifts because Kala wrapped 6 times as many gifts as Juan.
And we know that Kala wrapped 48 gifts, so we can set up an equation:
6n = 48
To find the number of gifts Juan wrapped, we can divide both sides of the equation by 6:
n = 48/6
n = 8
So Juan wrapped 8 gifts.
when you do not learn for an exam with matzinger, the probability to get an f is 0:8. if you learn, the probability to get an f is 0:2.
The probability to get an f is 0:2 is 0.666
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
P(C/A) = 0.8
P(C/B) = 0.2
P(C)=0.4
P(A/C)= P(C/A)P(A)/P(C)
= 0.8*P(A)/0.4
P(C)= P(C/A) P(A)+ P(C/AC) (1-P(A)
0.4= 0.8*P(A)+0.2(1-P(A))
0.4 =0.6 P(A)+0.2
0.2/0.6 = P(A)
Hence
P(A/C)=0.8/0.4 *0.2/0.6
=2*2/6
=0.666
The probability to get an f is 0:2 is 0.666
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What’s the answer to the question?
If 3x + 10y=2 and -x + 7y = -4 are true equation what would be the value of 2x + 17y
Answer:
-2
Step-by-step explanation:
if we sum the 2 equations we will find it the the same equation they want so 3x+10y-x+7y=2-4
2x+17y=-2
I hope I help you in this ans and tq.
The following coordinates are the vertices of a triangle.
Answer below in exact radical form or as a decimal rounded to at least
two decimal places.
K (8,-1) L (-9, 5) M (-10,-7)
What is the length of KL?
According to the given question the length of KL is 18.03 units.
What is length?Length is the term used for identifying the size of an object or distance from one point to the other.
The length of KL can be found using the distance formula between two points:
√((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, the length of KL is:
√((-9 - 8)^2 + (5 + 1)^2) = √((-17)^2 + 6^2) = √(289 + 36) = √(325) = 18.03.
Rounded to two decimal places, the length of KL is 18.03 units.
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Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue paint.
1. How many cans of white paint will she need to mix with 6 cans of blue?
2. Rate needed (white/blue)
3. What is the unit rate?
4. Interpretation of unit rate?
Anne should mix 9 cans white paint with 6 cans of blue paint.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, Anne wants to paint her house light, so she is mixing 3 cans of white paint to every 2 cans of blue paint.
So, the ratio of white paint to blue paint is 3:2
1) Multiply the ratio by 3, we get 9:6
So, Anne should mix 9 cans white paint with 6 cans of blue paint.
2) Rate = 3/2
= 1.5
Therefore, Anne should mix 9 cans white paint with 6 cans of blue paint.
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determine if f left parenthesis x right parenthesis is continuous at x equals 6. if not, select the option with the correct reasoning as to why not.
The given function is continuous for all values of x between 0 to 6.
and the function is discontinuous because it is not defined on -2≤x<0
.
A continuous function in mathematics is a function without discontinuities, or any sudden changes in value. If we can guarantee arbitrarily small changes in the input of a function by limiting small enough changes, then the function is continuous. The function supplied is said to as discontinuous if it is not continuous. In other words, if we can draw the graph of the function around a given point without removing the pen from the plane of the paper, we may say that a function is continuous at that point.
Determine the value of the function -
[tex]f(x)=\sqrt{\frac{6x}{x+2}}[/tex] is continuous or not continuous,
The given function is continuous for all values of x between 0 to 6.
and the function is discontinuous because it is not defined on -2≤x<0.
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For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1
Answer:
8 is a solution for the following equations:
x + 6 = 2 (subtracting 6 from both sides gives x = -4)
x - 4 = 4 (adding 4 to both sides gives x = 8)
3x = 24 (dividing both sides by 3 gives x = 8)
StartFraction x Over 8 EndFraction = 1 (multiplying both sides by 8 gives x = 8)
Note that for x+2=10 and x-2=10 and 2x = 4, 8 is not a solution.
a square $abcd$ has an area of $4.$ the square is then dilated with a scale factor of $x,$ producing a square $a'b'c'd'$ of area $9.$ find the sum of all possible values of $x.$
The possible scales factors of the given dilation transformation are 3/2 and -3/2. Hence, their sum is zero.
A dilation is a transformation that results in an image with the same shape as the original but a different size.
In a dilation transformation, a negative scale factor enlargement will cause the enlargement to appear on the opposite side of the enlargement's center and will be inverted (upside down). The size of the shape will also alter depending on the degree of the enlargement.
The areas are scaled by 9/4
Since, the area of a square is the square of its side, then scale factor is:
Scale factor = ±√(9/4) = ± 3/2
Hence, the possible values are positive scale factor: 3/2 and negative scale factor = -3/2.
Their sum is: 3/2 + (-3/2) = 0
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Rotate the triangle through 180° about the origin.
Answer:
(--1, -2)
(-4, -2)
(-4, -4)
Step-by-step explanation:
Rule ( x,y) ⇒ (-x, -y)
(1,2) ⇒ (-1,-2)
(4,2) ⇒ (-4,-2)
(4,4) ⇒ (-4,-4)
PLEASE SHOW WORK…… I WILL GIVE BRAINLIEST
Answer:
11. 15°
I haven't learned how to find sides with only one side given yet I'm so sorry!!
[tex] {2}^{2} \times {3}^{2} \times {5}^{2} [/tex]
I NEED HELP ASAP!!!! PLS!!!!
Is the prime factorization of what composite number?
A) 300
B) 900
C) 180
D) 240
integral of e^(5x)*cos(6x)
here is your correct answer
The integral of the given function e^(6x).cos(5x) is
6/61e6xcos(5x) + 5/61e^6x.sin(5x)+C , c is the constant.
∫u(x)v′(x)dx=u(x)v(x)−∫u′(x)v(x)dx
We apply the integration by parts twice to solve this problem. We use the integration by parts for the first time:
we choose u(x)=cos(5x), v′(x)=e6x, which gives us u(x)=−5sin(5x), v(x)=16e6x
We have ∫e6xcos(5x)dx = 16e6xcos(5x) + 56∫e6xsin(5x)dx
Now, we use integration by parts for the second time for the integral on the right-hand side. This time
we choose u(x)=sin(5x),v′(x)=e6x, which gives us u′(x)=5cos(5x), v(x)=16e6x
We have ∫e6xsin(5x)dx=16e6xsin(5x)+56∫e6xcos(5x)dx
Evaluating the integral:
∫e6xcos(5x)dx=16e6xcos(5x)+56∫e6xsin(5x)dx=16e6xcos(5x)+56(16e6xsin(5x)−56∫e6xcos(5x)dx)=16e6xcos(5x)+536e6xsin(5x)−2536∫e6xcos(5x)dx
We solve this equation for ∫e6xcos(5x)dx , and we get:
∫e^6x.cos^(5x).dx = 6/61e6xcos(5x) + 5/61e^6x.sin(5x)+C
where C is the constant of integration.
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a student was adding the numbers 1, 2, 3, 4, and 5. they wrote: assuming these numbers are adjectives modifying the same noun, discuss what is incorrect about their equation.
The student's equation is incorrect because it contains only one part, and an equation requires two parts to be valid.
An equation is a statement that two things are equal, and it must contain two different parts. A single number, such as the five numbers that this student used, can't make an equation. The student was using the numbers as adjectives, which modify nouns, but adjectives can't be added to make an equation.
In order to have a proper equation, the student must have two parts, each with its own number or variable. For example, the student could have used 2 + 3 = 5, which is an equation with two parts.
The left side of the equation (2 + 3) is the sum of the two numbers, and the right side of the equation (5) is the result of that sum.
This equation would be correctly written and would produce the correct result.
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the area and the perimeter of a certain square is equal. Find the length of each side
The length of each side of the square is 4 units. The perimeter of the square is 16 units.
What is the perimeter?
A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Assume that the length of the side of the square is a.
The perimeter of the square is 4a.
The area of the square is a².
Given that the perimeter and the area of the square are the same.
According to the question,
a² = 4a
Solve the above equation:
a² - 4a = 0
a(a-4) = 0
Either a = 0 or, a-4 = 0
a ≠ 0
Therefore, a = 4
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How are graphs with a nonzero axis most misleading?
Graphs with a nonzero axis most misleading as they distort differences between values.
What is a graph ?
Graph can be defined as the visual representation of data in the form of given ordered pairs.
A professional who specializes in interest rates might find the information in the left-hand graph quite useful.
They distort differences between values.
We have given that, a graph
They distort differences between values,
So distort differences between values can be,
Non-zero axes distort differences between values, but they are not always misleading.
It depends on who is looking at them.
Consider the bar graphs , showing the change in interest rates over time.
A reader might conclude that interest rates had risen sharply (the zero-axis shows that they have remained steady).
However, a professional who specializes in interest rates might find the information in the left-hand graph quite useful.
Hence, Graphs with a nonzero axis most misleading as they distort differences between values.
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56% of men do not look forward to going clothes shopping for themselves. You randomly select 8 men. Find the probability that the number of men who do not look forward to going clothes shopping for themselves is EXACTLY FIVE.
Salut/Hello!
Answer: 0.625
Step-by-step explanation:
The probability will be 5 men in a selection of 8 random men
so 5/8 is equal to 0.625 which shows the probability.
I hope it was helpful! :]
Brennan wants to observe the moon as it completes one full orbit around the Earth. He plans to record the appearance of the moon in his journal. About how long will he need to make observations in order to view an entire cycle?
Responses
One day
One day
One Week
One Week
One Month
One Month
One Year
One Year
The amount of time it will take him to make an observations in order to view an entire cycle would be = one month. That is option C
What is moon cycle?Moon cycle is defined as the the series of phases that the moon takes to orbit around the earth as the earth moves round about the sun.
The difference phases of the moon include the following:
new Moon, waxing crescent, first quarter, waxing gibbous, full Moon, waning gibbous, third quarter and waning crescent.These cycles are repeated again after 29.5 days which is approximately 1 month, therefore, the amount of time it will take him to make an observations in order to view an entire cycle would be = one month
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Solve each equation by factoring
1. 64p^2=9
2. 32-162k^2=0
3. 16/49-v^2=0
4. 27h^3=48h
PLS ANSWER QUICKLY!!!
Factor the expression completely.
x^4-4x^2-32
x
4
−4x
2
−32
X = -4,8 are the values of x in quadratic equation .
What in mathematics is a quadratic equation?
A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.
The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem.
Let X² = X
= x^4 - 4x^2 - 32
= X² - 4X - 32
= X² - (8 - 4 )X - 32
= X² - 8X + 4X - 32
= X( X - 8 ) + 4( X - 8 )
= (X + 4 ) ( X - 8 )
= X = -4 , 8
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use the distributive property to find y.
(3 x 7) - (3x 1) = y x (7 - 1)
someone please help!!
Answer:
x=0
Step-by-step explanation:
21x-3x=yx(7-1)
18x=6xy
18x=6xy=0
6x(3-y)=0
x=0
Express the following numbers in standard form
i) 5,00,00,000 ii) 39087.8 (iii) The distance between Earth and Moon is 384,000,000 m.
Answer:
i) 5,00,00,000 (5 billion) in standard form would be 5 x 10^9
ii) 39087.8 in standard form would be 3.90878 x 10^4
iii) The distance between Earth and Moon is 384,000,000 m (384 million meters) in standard form would be 3.84 x 10^8 m.
Step-by-step explanation:
Which list of numbers is ordered from least to greatest?
Answer: I want to say is this one: -6, -3, 2, 5
Step-by-step explanation: That one just look like its the one because the first option it goes from greatest to least and then repats itself so i know if not that one. then the next one also looks wrong. I saw is the 3rd one.
The vertices of a triangle are located at (-4, 1). (0, -2) and (3, 2). Select the correct option from the drop-down to complete the sentence.
The triangle is
Answer:
Isosceles Right Triangle.
Step-by-step explanation:
Let the points be A, B and C where A = (-4, 1), B = (0, -2) and C = (3, 2)
Slope of AB = (-2-1)/(0- -4) = -3/4
and its length = √(-2-1)^2 + (0- -4)^2 = √25 = √5.
Slope of BC = (2 - -2)/(3 - 0) = 4/3
and its length = √(2 - -2)^2 + (3)^2 = √25 = √5
Slope of AC = ((2-1)/3- -4) = 1/7
and its length = √((4--4)^2 + (2-1)^2 = √17
The product of the slopes of AB and BC = -3/4 * 4/3 = -1 so
m < ABC = 90 degrees.
Also, the sides AB and BC are equal in length
So. the Triangle is an isosceles right triangle.
Alexa is buying a car and needs to take out a loan for $22, 000. The bank is offerin
an annual interest rate of 6.3%, compounded monthly, for a 6 year loan. Using the
formula below, determine her monthly payment, to the nearest dollar.
M =
Pr(1+r)"
(1 + r)" − 1
According to the question, Alexa's monthly payment will be $448.59.
What is the payment ?Payment is the transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can take many forms, such as cash, check, credit or debit card, money order, bank transfer, or online payment. The most common form of payment is cash, followed by debit and credit cards. Payment also includes more modern forms such as digital currencies, mobile payments, and contactless payments. Payment is an important part of the exchange of goods and services, and it is essential for the functioning of a modern economy.
M = P x r x (1 + r)ⁿ / ((1 + r)ⁿ - 1)
M = 22,000 x 0.063 x (1 + 0.063)⁶ / ((1 + 0.063)⁶ - 1)
M = 22,000 x 0.063 x 1.3958 / 0.7236
M = $448.59
Therefore, Alexa's monthly payment will be $448.59.
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one method of conducting a survey involves selecting a sampling of a representative group of people. true false
It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.
Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.
Survey sampling involves three steps, which are:
sample selection: what group of people to include in one's sample,data collection: collecting data from the sample's answers, andestimation: the estimation about the general population using statistical calculations.Learn more about survey at https://brainly.com/question/19637329.
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Classify each number below as a rational number or an irrational number.
Answer:
it is 52.6
Step-by-step explanation:
because that is the very big number
i hope that helps you
Emma practiced piano for 75% of the time that Olivia practiced. Emma practiced for 90 minutes. How long did Olivia practice?
Lauren worked for [tex]$7 / 24$[/tex] th of a day.
What is fraction?An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters. A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.A fraction is a concept where some portions of a full item are expressed in fraction form or division form. For example, if there are 150 students and 98 of them are female, the fraction can be written as follows. Similarly,
24 hours make up the entirety of a day.
In the morning, 1(1/4) hours, which equates to 5/4 hours, in the afternoon, 3 hours, and in the evening, 2 hours and 45 minutes, respectively, which may be stated as
=(2+45/60)
=2+3/4
=11/4hours
So, the total no of hours Lauren practised will be
Total [tex]$=\frac{5}{4}+3+\frac{11}{4}$[/tex]
[tex]$=\frac{5+12+11}{4}$[/tex]
[tex]$=\frac{28}{4}$[/tex]
[tex]$=7$[/tex] hours
Now we can express it in fraction form,
Fraction[tex]$7 / 24$[/tex]
Hence, Lauren worked for [tex]$7 / 24$[/tex]th of a day.
The complete question is,
Lauren practiced playing the piano 1 1/4 hours in the morning, 3 hours in the afternoon, and 2 hours and 45 minutes in the evening. For what fraction of the day did she practice?
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Kenia want to buy a new tv. The regular price i $759. The tore i offering a 15% dicount and a ale tax of 7% i added after the dicount. What i the total cot of the tv to the nearet cent?
The total cost of the TV would be $690.00 to the nearest cent.
Given that,
The regular price of the TV is $759
So, the regular price of the TV = $759
The store is offering a discount of 15%. To calculate the discount amount, multiply the regular price by the discount rate (15% = 0.15).
So, the offered discount is 15% of $759 = $113.85
Subtract the discount amount from the regular price to get the price after the discount.
Then, the price after the discount is $759 - $113.85 = $645.15
To calculate the sales tax, multiply the price after the discount by the tax rate (7% = 0.07).
Then, the sales tax for the TV is 7% of $645.15 = $45.13
Add the sales tax to the price after discount
Then, total cost: $645.15 + $45.13 = $690.28
It is rounded to the nearest cent: $690.28 = $690.00
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