the required probability is 0.1
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: 3 students study for an hour and total students are 30
Thus P(1 hour) =3/30
=0.1
Hence, the required probability is 0.1
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find x and the measure of each side. Round to two decimal places, if necessary.
The values of the triangles are as follows:
x = 7 unitsGH = 21 unitsHI = 21 unitsGI = 12 unitsHow to find angles and side of a triangle?The triangle is an isosceles triangle because two sides and angles are equal. Therefore,
4x - 7 = 2x + 7
4x - 2x = 7 + 7
2x = 14
x = 14 / 2
x = 7 units
GH = 4(7) - 7 = 28 - 7 = 21
HI = 2(7) + 7 = 14 + 7 = 21
GI = 7 + 5 = 12
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No penalties have been given. Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. What should the Referee do
Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. annual the touch fencer Y recieves a RED CARD.
what are the fencing rules ?
Penalty cards or flags are also used in modern fencing. Each card has a unique meaning. A fencer who receives a yellow card is warned, but no further action is taken. A fencer who receives a red card is warned, and their opponent receives a touch. A fencer who receives a black card is disqualified from the competition and may be disqualified from the tournament, expelled from the venue, or suspended from future tournaments if the offence is serious. However, black cards are rarely given to fencers. It should be noted that spectators can (and occasionally are) carded or expelled.
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When you multiply a number by 25 you get another number that is 250 more than 1000. find the number
Answer:
50
Step-by-step explanation:
1000+250=1250
After that Just do it in reverse:
1250/25=50
Supergran runs from her chalet to the top of the mountain. She knows that if she runs at a speed of 6 mph she will arrive at 1 pm, whereas if she leaves at the same time and runs at 10 mph, she will arrive at 11 am. At what speed should she walk if she wants to arrive at 12 noon
Using proportions, it is found that she should walk at a speed of 8 mph to arrive at noon.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the speeds of arrival at 11 am and at 1 pm, we have that for each 2 km slower, she arrives one hour later.
Walking at 10 mph she arrives at 11 am, hence she should walk at a speed of 8 mph to arrive at noon.
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I think of a number, subtract 5 and then multiply by 2. my answer is 80. what is my number?
Answer:
200
Step-by-step explanation:
Just do it in reverse and reverse "roles" multiplying Becomes Devidng and Devidng Becomes multiplying:
80/2=40, 40x5=200
A set of 5 numbers has an average of 50. The largest element in the set is 5 greater than 3 times the smallest element in the set. If the median of the set equals the mean, what is the largest possible value in the set
Answer:
5×3=15
15×3=45
therefore the largest value is 45
The largest possible value in the set is 92. The set has an equal mean and median. So, the set is {29, 29, 50, 50, 92}.
What are the mean and median of a set of data?Mean:
For a set of data, the average of all the data values is said to be its mean.
Median:
When the set is arranged in ascending order, the middle term is said to be its median (if there are an odd number of data values in the set) or the average value of the two middle terms is the median (if there are an even number of data values in the set).
Calculation:It is given that,
there are 5 numbers in the set
Mean = 50 and Median = Mean
So, Median = 50
Since there are 5 numbers in the set (odd number), the median is the third(middle) number.
Consider the first or smallest number as 's'.
Then the largest number = 3s + 5
By minimizing each term we get,
first term = s
second term = s
third term = 50
fourth term = 50
fifth term = 3s+5
If the mean is 50, then the sum of all the terms = 50 × 5 = 250
So,
s + s + 50 + 50 + 3s + 5 = 250
⇒ 5s + 105 = 250
⇒ 5s = 145
∴ s = 29
Thus, the smallest number is 29
Then, the largest number = 3s + 5 = 3 × 29 + 5 = 92
Therefore, the largest number in the given set is 92.
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The measures of the angles of a triangle
are shown in the figure below. Solve for x.
60°
(4x+3)°
(2x+9)⁰
Answer:
x = 18
Step-by-step explanation:
In order for a triangle to be a triangle, all angles must add up to 180.
This means that we can create an equation to solve for x, using the angles given.
180 = 60 + (4x+3) + (2x+9) --> remove brackets and combine like terms
180 = 60 + 6x + 12
180 = 72 + 6x
108 = 6x
18 = x
Shota invests $2000 in a certificate of deposit that earns 2, percent interest each year write a function that gives the total value v(t) in dollars, of the investment t years from now
V(t)=2000(1.02)^t function that gives the total value in dollars of the investment t years from now given that Shota invests $2000 in a certificate of deposit that earns 2 percent interest each year. This can be obtained by using the formula of compound interest formula.
What is the required function?Equation of compound interest compounded yearly,
A = P(1 + R/100)^t
where,
A = amount
P = principal amount
R = rate
t = number of years
Given that P = $2000, R = 2%, number of years = t,
V(t) = 2000(1+2/100)^t
V(t) = 2000(1+0.02)^t
V(t) = 2000(1.02)^t
Hence V(t)=2000(1.02)^t function that gives the total value in dollars of the investment t years from now given that Shota invests $2000 in a certificate of deposit that earns 2 percent interest each year.
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math related pls help
Hello and Good Morning/Afternoon:
Let's take this problem step by step:
Let's consider what the problem wants:
⇒ the value of (f-g)(y)
Let's consider what the problem gives us:
⇒ the value of f(y) and g(y)
Let's consider the relationship between f(y), g(y) and (f-g)(y)
⇒ [tex](f-g)(y)=f(y)-g(y)[/tex]
Let's solve for (f - g)(y)
[tex]\hookrightarrow(f-g)(y) = f(y)-g(y) = 5y^2-2y+1-(-3y^2-y-2)\\=5y^2-2y+1+3y^2+y+2=8y^2-y+3[/tex]
Answer: 8y²- y + 3
Hope that helps!
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A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
Answer:
Journey taken time 5 hour at speed of 45km/hr
So,
1 hour=45/5=9km/hr
Therefore,3 hour=(9x3)km/hr.
(please mark me brainliest if my answer was good)
Sampling distribution. a quarterback threw 1 interception in his first game, 2 interceptions in his second game, 5 in terceptions in his third game, and then he retired. consider the values of 1, 2, and 5 to be a population. assume that samples of size 2 are randomly selected (with replacement) from the population
a. list the 9 different possible samples and find the mean of each sample
b. what is the mean of the sample means from part a?
c. is the mean of the sampling distribution from part t equal to the mean of the population of the three listed values? are those means always equal?
(a) The Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.
(b) The mean of the sample means from part (a) is 8/3.
(c) Yes, The mean of the sample distribution is always equal to the mean of the Population.
According to the questions,
Game number 1 2 3 Total
Number of interceptions 1 2 5 8
a) Element 1 Element 2
1 1
2 2
5 5
1 2
1 5
2 5
2 1
5 1
5 2
Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.
b) The mean of the sample means from part a.
(1+2+5+1.5+3+3.5+1.5+3+3.5)/9 = 8/3
The mean of the sample means from part (a) is 8/3
c) Mean of the populations = (1+2+5)/3 = 8/3
The mean of the sample distribution from part b. is 8/3
Yes, The mean of the sample distribution is always equal to the mean of the Population
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help me pls
if you write a wrong answer you will be reported by the app.
The complete proof of the theorem is
Statements Reasons
1. p||q 1. Given
2. ∠1≅∠3 2. Alternate interior angles theorem
3. ∠1≅∠3 3. Definition of congruent angles
4. ∠3 + ∠2 ≅ 180° 4. Definition of linear pair
5. m∠3 + m∠2 = 180° 5. Linear pair theorem
6. m∠1 + m∠2 = 180° 6. Substitution prop. of equality
7. ∠1 and ∠2 are supplementary 7. Consecutive interior angles theorem
Proof of Angle theoremsFrom the question, we are to complete the given proof
The proof is completed as shown below
Statements Reasons
1. p||q 1. Given
2. ∠1≅∠3 2. Alternate interior angles theorem
3. ∠1≅∠3 3. Definition of congruent angles
4. ∠3 + ∠2 ≅ 180° 4. Definition of linear pair
5. m∠3 + m∠2 = 180° 5. Linear pair theorem
6. m∠1 + m∠2 = 180° 6. Substitution prop. of equality
7. ∠1 and ∠2 are supplementary 7. Consecutive interior angles theorem
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What is the common ratio of the geometric sequence below?
10, 15, 22.5, 33.75, ...
A. 2/3
B. 1.5
C. 5
D. 7
The common ratio of the geometric sequence is 1.5
Common ratio can be described as difference between two numbers in a sequence.
The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term
= 15/10
= 1.5
Hence the common ratio of the sequence is 1.5
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Answer:
B
Step-by-step explanation:
The common ratio of the geometric sequence is 1.5
Common ratio can be described as difference between two numbers in a sequence.
The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term
= 15/10
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1.5
If a circle has a radius of 4 meters, what is its circumference?
Answer: 12.56
Step-by-step explanation:
4 x 3.14
pi = 3.14
I really need help for my hw please help !!!!!!!
Answer:
1. 5.46 inches
2. 111% rounded to the nearest percent
3. 85.9 tons
4. 367.2 ft.
5. 49 percent
6. 466.7 inches
Step-by-step explanation:
1. .28 x 19.5
2. 97 = 87x Divide both sides by 87
1.11 = x This gives our answer as a decimal. Move the decimal 2 places to the right to make a percent. 111%
3. 146 = 1.7x to change a percent to a decimal move the decimal to places to the left. Divide both sides by 1.7 and round
x = 85.9
4. (2.7) 136 = x
367.2 = x
5. x123 = 60 Divide both sides by 123
x = 0.4878 Move the decimal two places to the right and round to make a percent. 48.8
6. .12x = 56 Divide both sides by .12
x = 466.7
Sanjay and felipe are putting together a 500-piece puzzle. sanjay could do the entire puzzle by himself in 6 hours, while it would take felipe 8 hours to do the puzzle alone. a table showing rate in part per hour, time in hours, and part of puzzle complete. the first row shows sanjay, and has blank, t, t. the second row shows felipe, and has blank, t, t. use the table to write and solve an equation to determine the approximate amount of time it would take sanjay and felipe to do the puzzle if they were working together.
Sanjay and Felipe would take a time of 3.4 hours to do the puzzle if they were working together.
What is the time?Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future.
The amount of time that something exists or continues to happen as measured or measurable.
The duration of events or the gaps between them can be measured, compared, or even ordered using time.
Time taken by Sanjay= 6 hours
Time taken by Felipe= 8 hours
Time taken by both if they work together,
=[tex]\frac{1}{1/6+1/8}[/tex]
=[tex]\frac{1}{\frac{4+3}{24} }[/tex]
=24/7
=3.4 hours
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Answer:
the answer is C
Step-by-step explanation:
Suppose a random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random sample of Coldplay ticket prices was obtained. True or False: The two groups of data are independent samples.
A random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.
According to the questions,
A random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random samples of Coldplay ticket prices was obtained.
The two groups of data are independent samples.
Hence, a random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.
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Si a,b y c son números dígitos tales que a + b + c es igual a 20. ¿Cual es el valor de abc + bca + cab?
Basado en la información, el valor de abc + bca + cab debe ser de 60.
¿Cuál es el valor de a+b+c?El valor de la combinación de estás tres letras es de 20.
¿Cuál es el valor de abc + bca + cab?Según la propiedad conmutativa el orden de los factores sumados no debe afectar su resultado, por lo que:
abc = 20bca = 20cab= 2020+20+20 = 60
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Which equation would find the distance between the two points show on the coordinate plane?
The equation would find the distance between the two points is
[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
According to the question,
The equation would find the distance between the two points is
[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
If (x₁, y₁) and (x₂, y₂) be any point in the plane then the distance between the two points equation is [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
Hence, the equation would find the distance between the two points is
[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
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Chantelle has 56 stickers. she will give all of the stickers to 8 friends. each friend will receive the same number of stickers. which equation will help chantelle decide how many stickers, n, to give to each friend?
Chantelle can use the following equation,
n = (Number of stickers) / (Number of friends)
or n = 56/8
Given Information
Chantelle has 56 stickers
⇒ Number of stickers = 56
She will distribute all of the stickers to 8 friends
⇒ Number of friends = 8
The number of stickers each friend will get = n
We have to form an equation for n.
Forming the Equation
Equation for the number of stickers to be given to each friend is as follows,
n = (Number of stickers) / (Number of friends)
n = 56/8
n = 7
Therefore, Chantelle needs to give 7 stickers to each of her 8 friends. And, the equation used to find this count, n is n = (Number of stickers) / (Number of friends) or n =56/8
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Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5
One landscaper's hourly rate is $15 lower than the other landscaper's. Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.
What is system of linear equations?
A set of two linear equations with two variables is a system of linear equations. Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly rate. A set of linear equations was appropriately written and solved by Casey using substitution. He solved for the other variable and substituted an expression for one in his work. The intersection of the lines that represent the linear equations is where a system of linear equations finds its solution. Each landscaper bills a fee for each job in addition to an hourly cost. Casey produced a system of linear equations that was correctly written and solved. The hourly rates for both landscapers are the same, however their rates for individual jobs vary.
Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly cost. By using substitution, Casey created and properly figured out a set of linear equations. He solved for the other variable and replaced an expression for one in his work, producing the equation 5 = 20.
equation 5=20
20-5 = 15
Therefore, One landscaper's hourly rate is $15 lower than the other landscaper's.
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kể tên các cặp góc kề bù
Welcome to https://saigonstartravel.com/ Saigon Star Travel – Top Thương Hiệu Du Lịch Hàng Đầu Tại TP Hồ Chí Minh là Đơn vị tổ chức Tour du lịch trong nước & nước ngoài chuyên nghiệp, Dịch vụ Visa – Vé máy bay Nhanh chóng & Uy tín và Cho Thuê xe Du lịch từ 16-29-35-45 chỗ & Xe giường nằm Chất lượng.
26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy weighs 66 pounds, how many pounds of aluminum does it contain? (A) 660 (B) 60 (C) 6.6 (D) 6
Answer:
(D). 6.
Step-by-step explanation:
The number of parts = 1 + 10 = 11.
So 10/11 of the alloy is copper and 1/11 is aluminium.
So the answer is 1/11 * 66
= 66/11= 6 pound,s
which statemennt is false?
Answer:
B. Every integer is also an irrational number.
Write a function of the geometric sequence with a starting term of 6 and a common ratio of 3. Find the sixth term.
A function for the described sequence is; f(n) = 6• 3^(n-1) and the sixth term is; 1458.
What is the sixth term of the sequence?Since, it follows that the first term of the sequence is; 6 and the common ratio is 3, it follows that the recursive function that represents the sequence is; f(n) = 6• 3^(n-1).
Additionally, by substitution of 6 for n; f(6) = 1,458.
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An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in shape. The builder is making trim for the windows and needs to know the length of the arc of the outer rim of the window. If the central angle is 270 degrees, and the radius of the partial circle is 30 inches, how much trim is needed for each window? Round your answer to the nearest inch, and enter the number only.
The amount of rim needed for each window is 141.4 in
How to find the length of the outer rim?Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.
What is an arc?An arc is part of section of the circumference of a circle
What is the length of an arc?So, length of arc, L = Ф/360 × 2πR where
Ф = central angle of arc and R = radius of circle.Gven that for the window rim
Ф = angle of the rim = 270° and R = radius of the rim = 30 inSubstituting the values of the variables into the equation for L, we have
L = Ф/360 × 2πR
L = 270°/360° × 2π × 30 in
L = 3/4 × 2π × 30 in
L = 3/2 × π × 30 in
L = 3 × π × 15 in
L = 45π in
L = 141.37 in
L ≅ 141.4 in
So, the amount of rim needed for each window is 141.4 in
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a machine makes 36 widgets in 20 minutes. at that rate, how many widgets will the machine make in an 8-hour day?
Pls help me !!! due today:(
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "equations, expressions". The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
The polynomial equation x^4 + x^3 + x^2 + x + 1 = 0 has zero positive real roots. Please select the best answer from the choices provided T F
There are zero positive real roots for the given polynomial equation [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]. This is explained by Descarte's rule of signs. So, the best choice is T (true).
What is Descarte's rule of signs?Descarte's rule of signs tells about the number of positive real roots and negative real roots.The number of changes in signs of the coefficients of the terms of the given polynomial f(x) gives the positive real zeros of the polynomial.The number of changes in signs of the coefficients of the terms of the given polynomial when f(-x) gives the negative real zeros of the polynomial.Calculation:The given polynomial equation is [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]
On applying Descarte's rule of signs,
[tex]f(x)=x^4 + x^3 + x^2 + x + 1[/tex]
Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.
[tex]f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\ = x^4-x^3+x^2-x+1[/tex]
Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.
Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).
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Solve 3a
17
7
8
9
- (2² + 1)² + a
when a = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Assuming the equation should be:}[/tex]
[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]
[tex]\huge\textbf{Simplify it: }[/tex]
[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]
[tex]\mathbf{= 3(8) - (2^2 + 1)^2 + 8}[/tex]
[tex]\mathbf{= 24 - (2^2 + 1)^2 + 8}[/tex]
[tex]\mathbf{= 24 - (4 + 1)^2 + 8}[/tex]
[tex]\mathbf{= 24 - 5^2 + 8}[/tex]
[tex]\mathbf{= 24 - 25 + 8}[/tex]
[tex]\mathbf{= -1 + 8}[/tex]
[tex]\mathbf{= 7}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{Option\ B. 7}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphiitrite1040:)}[/tex]