Answer:
x = (M-4t)/4
Step-by-step explanation:
First we expand the brackets:
4(x+t) =M
4x +4t = M
Subtract 4t from both sides:
4x +4t -4t = M -4t
Simplify:
4x = M -4t
Divide both sides by 4 :
4x÷4 = (M-4t)/4 = (M-4t)÷4
x = (M-4t)/4
Hope this helped and brainliest please.
Tell whether the sequence is arithmetic. If it is, identify the common difference.
-8, 2, 12, 22, ...
O A. The sequence is arithmetic and has a common difference of (...)
O B. The sequence is not arithmetic.
Answer: A. The sequence is arithmetic and has a common difference of 10.
Step-by-step explanation:
-8 +10=2
2+10= 12
12+10 =22
The all have a common difference of 10.
An F test with five degrees of freedom in the numerator and seven degrees of freedom in the denominator produced a test statistic who value was 7.46.
a. What is the P-value if the test is one-tailed?
b. What is the P-value if the test is two-tailed?
Answer:
9
Step-by-step explanation:
id it's p value is 1 it will be 7.46*25 and if 2 tailed it will be 7.46*6875666772366
A bag contains 6 red marbles and 4 blue marbles. Two marbles are drawn from the bag, without replacement. What is the probability that both marbles are blue
The probability that both the marbles are blue is 1/5.
According to the given question.
Number of red marbles = 6
Number of blue marbles = 4
Total number or marbles = 10
As, we know that "probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event".
So, the probability that the first marble will be blue = 4/10 = 2/5
And the probability that the second marble is also blue, without replacement
= (4 - 1)/(10 - 1)
= 3/9
= 1/2
Therefore, the probability that both the marbles are blue
= 1/2 × 2/5
= 1/5
Hence, the probability that both the marbles are blue is 1/5.
Find out more information about probability here:
https://brainly.com/question/14210034
#SPJ4
regarding the rsa algorithm, describes the total number of coprime numbers; two numbers are considered coprime if they have no common factors.
In the RSA algorithm, the total number of coprime numbers is determined by the Euler's totient function (phi function), denoted as phi(n). For any given positive integer n, phi(n) is the number of positive integers that are less than or equal to n and are coprime to n. In other words, phi(n) is the count of all numbers between 1 and n (inclusive) that do not share any factors with n except 1.
In the context of the RSA algorithm, the total number of coprime numbers refers to the Euler's totient function, denoted as φ(n). Euler's totient function counts the number of integers from 1 to n that are coprime to n. Two numbers are considered coprime if their greatest common divisor (GCD) is 1, meaning they have no common factors other than 1.
The RSA algorithm uses this concept in the following steps:
1. Select two distinct prime numbers, p and q.
2. Compute n = p * q.
3. Calculate φ(n) = (p-1) * (q-1).
4. Choose a public key exponent e, such that 1 < e < φ(n) and GCD(e, φ(n)) = 1 (e and φ(n) are coprime).
5. Compute the private key exponent d, such that d * e ≡ 1 (mod φ(n)).
6. Use the public key (n, e) to encrypt messages and the private key (n, d) to decrypt them.
In summary, the total number of coprime numbers in the RSA algorithm is represented by Euler's totient function φ(n), which is used to choose the public and private key exponents and ensure their coprimality for secure encryption and decryption.
Learn more about algorithm here : brainly.com/question/22984934
#SPJ11
Which of the following would be considered an example of a matched pair or paired data? a. the mean age of residents in Dayton compared to the mean age of residents in Miam b. the proportion of rainy days in Seattle compared to the proportion of rainy days in Phoenix c. the percestage of defective products produced by Company A compared to the percentage produced by Company B d. the math scores of current 9th-grade students compared with their 8th-grade math scores
Option D, the math scores of current 9th-grade students compared with their 8th-grade math scores, would be considered an example of a matched pair or paired data.
This is because the data is collected from the same group of individuals at two different points in time, allowing for a comparison of the change in math scores. The other options involve comparing different groups or populations, which would not be considered paired data. Additionally, the terms "mean" and "percentage" are not relevant in this context as the question is asking about the type of data comparison, not the specific used.
Learn more about mean
https://brainly.com/question/31101410
#SPJ11
Write inequalities to describe the region.
The solid upper hemisphere of the sphere of radius 2 centered at the origin
x^2 + y^2 + z^2 ≤ 4
z ≥ 0
The region you're describing is the solid upper hemisphere of a sphere with radius 2, centered at the origin. We'll use inequalities to define this region.
Let's use (x, y, z) to represent a point in the 3-dimensional space. The sphere centered at the origin with radius 2 can be described by the equation:
x^2 + y^2 + z^2 = 2^2
Since we're interested in the upper hemisphere, we want to include only the points where the z-coordinate is non-negative. Therefore, we have the inequality:
z ≥ 0
Combining the sphere equation and the inequality for the upper hemisphere, we get the inequalities:
x^2 + y^2 + z^2 ≤ 4
z ≥ 0
These inequalities describe the region of the solid upper hemisphere of the sphere with radius 2, centered at the origin.
Learn more about Inequalities here: brainly.com/question/30228778
#SPJ11
In 5.5 minutes you are able to type 297 words. What is your rate in words per minutes?
Answer:
54 words typed in one minute.
Step-by-step explanation:
1. If you divide 297 by 5.5 you will get your answer
ANSWER: 54 words/ 1 minute
Subtract: (14 - 12√10) from (32 +4√10).
\(subtract: (14-12 \sqrt{10}) from (32+4 \sqrt{10}) \)
I dont know how to solve this
The solution of subtracting (14 - 12√10) from (32 +4√10), in the surd expression is 18 + 16√10.
What is the solution of the surd expression?The solution of the surd expression is calculated as follows;
To subtract (14 - 12√10) from (32 +4√10), we can simply subtract the coefficients of √10 and the constants separately.
(32 +4√10) - (14 - 12√10)
= (32 - 14) + (4√10 + 12√10)
= 18 + 16√10
Therefore, the answer to the surd expression is 18 + 16√10.
Learn more about surd expressions here: https://brainly.com/question/25119327
#SPJ1
Alina has been collecting video games for a year. The table below shows how many games games she has received over the year
Answer:
I don’t see the table so I can’t answer it....
Step-by-step explanation:
....................
suppose you and your roommate are trying to decide how to divide up the remaining slice of pizza left over from the night before. your roommate has the following proposal. you get to divide the remaining slice of pizza, but he gets to choose which of the two pieces of pizza to consume. as a result, you decide to cut the remaining slice of pizza into equal portions. this is an example of ________.
This is an example of first mover advantage.
First mover advantage is a theory of organizational and business strategy by means of which it is considered that whoever has the first possibility of making decisions on a subject, will have a comparative advantage over the rest of the participants.
This is so because, it is assumed, this first actor will be able to take the best option for himself, leaving lower-ranking options to the rest of the participants.
Learn more about strategy in https://brainly.com/question/14063180
The volume of a cone is 37xcubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
O 6x
ОЗлх2
O 9x2
Answer:
3x
Step-by-step explanation:
34x^3=r^2×3,14×X/3
×3 34x^3= r^2×3,14×X/3 ×3
102x^3=r^2×9.42×X
÷9.42×X ÷9.42×X
10.83x^2=r^2
√10.83x^2= √r^2
3x=r
a chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. you have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. what is the probability that the first ingredient you add is either ground beef or onion?
The probability of adding either ground beef or onion as the first ingredient 0.25 or 25%.
If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:
Probability = (Number of desired outcomes) / (Total number of possible outcomes)
= 2 / 8
= 1 / 4
= 0.25
So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.
In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.
The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.
To know more about probability follow the link:
https://brainly.com/question/24756209
#SPJ11
Find the slope of the line.
Answer:
Step-by-step explanation:
(-3, 2) and (2, -3)
(-3 - 2)/(2 + 3) = -5/5 = -1
answer is b
2.< df (x) dx f(x) = cos³ (1 + 3e¯*)< Determine the first dervative- of (8 Marks)
The first derivative of f(x) is -9 e¯* cos² (1 + 3e¯*) sin (1 + 3e¯*).
Given, f(x) = cos³ (1 + 3e¯*)To find the first derivative of f(x), we will use the chain rule of differentiation.The chain rule states that if f(g(x)) is a composite function, then its derivative can be calculated using the formula given below:
$$\frac{df(g(x))}{dx}=\frac{df(g(x))}{dg(x)}.\frac{dg(x)}{dx}$$
Here,
g(x) = 1 + 3e¯* and
f(x) = cos³(g(x))
We know that the derivative of cos x is -sin x.
So, using the chain rule, we have;
df/dx cos³ (1 + 3e¯*)= -3 cos² (1 + 3e¯*) . sin (1 + 3e¯*) . 3e¯*
= -9 e¯* cos² (1 + 3e¯*) sin (1 + 3e¯*)
The first derivative of
f(x) is -9 e¯* cos² (1 + 3e¯*) sin (1 + 3e¯*).
Hence, the required first derivative of the given function is -9 e¯* cos² (1 + 3e¯*) sin (1 + 3e¯*).
To know more about derivative visit:-
https://brainly.com/question/25324584
#SPJ11
1. Graph the equation by first writing the equation in slope-intercept form.3x − 4y = 8 2. Check the graph by finding the x- and y-intercepts. x-intercept (x, y)=y-intercept (x, y)=
To graph the equation 3x − 4y = 8, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
To do this, let's isolate y by subtracting 3x from both sides of the equation:
-4y = -3x + 8
Next, divide the entire equation by -4 to solve for y:
y = (3/4)x - 2
Now that we have the equation in slope-intercept form, we can graph it. The slope of the line is 3/4, which means that for every 4 units we move to the right, we move up 3 units. The y-intercept is -2, which is the point where the line crosses the y-axis.
To find the x-intercept, we set y to 0 and solve for x:
0 = (3/4)x - 2
(3/4)x = 2
x = 8/3
So, the x-intercept is (8/3, 0).
To find the y-intercept, we set x to 0 and solve for y:
y = (3/4)(0) - 2
y = -2
So, the y-intercept is (0, -2).
By plotting the x-intercept and y-intercept, and drawing a line through them, we can graph the equation. The line should have a slope of 3/4 and pass through the points (8/3, 0) and (0, -2).
To know more about x- and y-intercepts visit:
https://brainly.com/question/32594000
#SPJ11
random variation that occurs in any time series is called what? part 2 a. seasonal patterns b. irregular component c. cyclical effects d. trends
The random variation that occurs in any time series is called the irregular component.
What is the term for the unpredictable variation in a time series?The irregular component refers to the random fluctuations or unpredictable patterns that are observed in a time series. It represents the unexplained variability in the data that cannot be attributed to any identifiable pattern, such as seasonal patterns, cyclical effects, or trends. It is often characterized by short-term fluctuations that occur randomly and do not follow a specific pattern or trend.
Learn more about variation
brainly.com/question/17287798
#SPJ11
The line shown in the graph passes through the points (2, 4) and (-1, 6). Which is the
equation of the line?
the lifetime of a printer costing 200 is exponentially distributed with mean 3 years. the manufacturer agrees to pay a full refund to a buyer if the printer fails during the first year following its purchase, and a one-half refund if it fails during the second year. if the manufacturer sells 100 printers, how much should it expect to pay in refunds?
The amount of money the manufacturer should expect to pay in refunds is 32.76X dollars.
Let Y denote the life in years of a printer, which is exponentially distributed with mean 3 years. Therefore, the rate parameter λ of the exponential distribution is λ = 1/3, which is obtained from the formula of the exponential distribution, E(Y) = 1/λ = 3 years. The probability that a printer fails during the first year following its purchase is:
P(Y < 1) = F(1) = 1 - e-λt = 1 - e-1/3(1) = 0.2835
The probability that a printer fails during the second year following its purchase is:
P(1 < Y < 2) = F(2) - F(1) = e-1/3(2) - e-1/3(1) = 0.3219 - 0.2835 = 0.0384
The probability that a printer does not fail during the first two years is:
P(Y > 2) = 1 - F(2) = 1 - e-1/3(2) = 0.6797
Let X denote the refund payment in dollars that the manufacturer should pay to the buyer of a printer if the printer fails during the first year, and X/2 denote the refund payment if the printer fails during the second year. Then, the total refund payment per printer is R = XI(Y < 1) + XI(1 < Y < 2)/2 = XI(Y < 1) + (X/2)I(1 < Y < 2), where I(.) is the indicator function that takes the value of 1 if the condition in the parentheses is true and 0 otherwise. The expected value of the total refund payment per printer is:
E(R) = E[XI(Y < 1)] + E[(X/2)I(1 < Y < 2)]
= X(0.2835) + (X/2)(0.0384) = 0.3276X
Hence, the expected total refund payment for 100 printers is:
Expected total refund payment = 100E(R) = 100(0.3276X) = 32.76X dollars. The amount of money the manufacturer should expect to pay in refunds is 32.76X dollars.
To learn more about refund payment refer :
https://brainly.com/question/28901639
#SPJ11
describe how you can use fraction models to solve 4 2/6 + 1 1/3
Answer:
By drawing rectangles, splitting them into sixths, and shading in the numbers we're adding to get a final sum of 5 4/6, or 5 2/3.
Step-by-step explanation:
1/6 is basically half of 1/3, so if we're making a fraction model we can just divide rectangles into sixths. You can draw maybe 7, because you know that 4+1 is going to be 5. Draw the rectangles and divide them each into 6. 1/3 is just going to be 2 sections of that rectangle. You can shade in first 4 whole rectangles, then 1 to represent the whole numbers. For 2/6, just shade in 2 sections! For 1/3, shade in 2 as well, because 1/3 and 2/6 are equivalent. Count up your rectangles and sections, and you should get a sum of 5 4/6, which can be simplified into 5 2/3.
Hope this helps! If you need clarification, or if I didn't answer the question right, you can ask!
if 1 tangerine, 2 oranges, and 4 grapefruits cost 2.75 and 3 tangerines 5 oranges and 8 grapefruits cost 6.25 how much does 1 tangerine and 1 orange cost?
assume that x and y are independent. what are the expected value and the standard deviation of the points per game for the player?
The expected value and the standard deviation of the points per game for the player is -6.5 and 65.43 respectively.
Given:
In a certain computer card game, the player is awarded 5 points for each card that is moved to a correct position. The player is penalized 10 points for each minute the game is played. Let the random variable X represent the number of cards moved to a correct position, and let the random variable Y represent the number of minutes the game is played.
From the given table:
E ( X ) = 9.5 * 5 points
= 47.5
E ( Y ) = 5.4 * - 10
= -54
E ( X + Y ) = 47.5 + ( -54 )
= 47.5 - 54
= -6.5
SD ( X ) = 12.5 * 5
= 64.5
SD ( Y ) = - 11
SD ( X + Y ) = \(\sqrt{64.5^2 + (-11)^2}\)
= 65.43
Learn more about the standard deviation here:
https://brainly.com/question/13905583
#SPJ4
Full question:
Is in the image uploaded.
when using a graduated pipet, at which point do you measure the volume?
The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.
1. Place the graduated pipet on a flat surface and make sure it is level
2. Draw the liquid up until the meniscus is level with the etched line that corresponds to the desired volume
3. Make sure the liquid is not touching the etched line above it
4. Observe the bottom of the meniscus and take the reading at the point where the liquid level is between the two etched lines
The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.
Learn more about volume here
https://brainly.com/question/16134180
#SPJ4
pls help will mark brainliest
solve the system using a matrix.
Answer:wertyuiop[]\]
';lkjhgfd
Step-by-step explanation:
please helppp quickkkk will mark brainlyest pls hurry I have something important
Answer: D
Explanation: The bird travels 10 miles to it's nest in minutes
4n-2n=18
Solve the expression check the answer
Answer:
n=9
Step-by-step explanation:
Subtract 4n and 2n ( 2n =18 )
Divide 2 on both sides ( 18/2 )
Once you divide, you get the answer of 9
Hope this helped, Have an amazing day!!
ask the user to input a number between 1 and 1000 ten times and store that number in the array.
In this task, the user is asked to input ten numbers between 1 and 1000. These numbers will be stored in an array.
To complete this task, we prompt the user to provide a number between 1 and 1000. This process is repeated ten times to collect ten numbers. We store these numbers in an array, which is a data structure that allows us to hold multiple values in a single variable. By using an array, we can easily access and manipulate these numbers for further analysis or calculations.
Storing the numbers in an array provides us with a convenient way to organize and manage the data. We can iterate over the array to perform operations on each number individually or perform aggregate calculations on the entire set of numbers. This approach enables us to process the user's input efficiently and effectively.
By gathering the user's numbers and storing them in an array, we create a structured dataset that can be utilized for various purposes. Whether it's calculating statistics, sorting the numbers, or performing mathematical operations, having the numbers stored in an array allows us to work with the data more flexibly and programmatically.
Learn more about natural numbers:
https://brainly.com/question/17273836
#SPJ11
The path that a football takes can be described by the equation h=25t-5t^2, where h is the height of the football at time t, in seconds.After how many seconds will it be 20 meters high?
1 - In order to solve this problem we have to solve the following equation
20 = 25t - 5t²
2 - In order to solve that equation we have to options
1 - Use the quadratic equation
2 - Factor the expression
For this probem we will facor the expression. The first thing that we will do is divide everything by 5, so we get
20/5 = ( 25/5 ) t - (5 / 5 ) t²
which would give us
4 = 5t - t²
Now we subtract 4 and we get
t² - 5t +4 = 0
then
t² - 5t +4 = (t - 4 ) (t - 1 ) = 0
Therefore there are two answers
t = 4
t = 1
Notice that the answer is correct because
h = 25(1) - 5*(1)² = 20
can u pls help me with this question
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A is the variable.
What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-half) Superscript n minus 1 –288 –216 –144 –72.
The sum of the infinite geometric series is -288.
Given thatA finite geometric series with n = 4, a₁ = -144, and r = ½.
We have to determineWhat is the sum of the infinite geometric series?
According to the questionThe sum of the infinite is determined by the following formula;
\(\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\\)
A finite geometric series with n = 4, a₁ = -144, and r = ½.
Substitute all the values in the formula;
\(\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\S\infty = \dfrac{-144 (1- \dfrac{1}{2}^4)}{1-\dfrac{1}{2}}\\\\S \infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\S \infty = -270\)
Therefore,
The sum of the infinite geometric series is,
\(\rm S = \dfrac{a_1}{1-r}\\\\S=\dfrac{-144}{1-\dfrac{1}{2}}\\\\S = \dfrac{-144}{0.5}\\\\S = -288\)
Hence, the sum of the infinite geometric series is -288.
To know more about Geometric Series click the link given below.
brainly.com/question/16037289
Answer:
its a
Step-by-step explanation:
edge
suppose you have two bags of marbles that are in a box. bag 1 contains 7 white marbles, 6 black marbles, and 3 gold marbles. bag 2 contains 4 white marbles, 5 black marbles, and 15 gold marbles. the probability of grabbing the bag 1 from the box is twice the probability of grabbing the bag 2. if you close your eyes, grab a bag from the box, and then grab a marble from that bag, what is the probability that it is gold?
The probability that it is gold is (1/3).
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. The likelihood that an event will occur increases with its probability. If two events are mutually exclusive, then there is a 0 percent chance that they will both happen at the exact moment. Two events are said to be mutually exclusive if they share no elements (their intersection is the empty set). Consequently, P(A∩B)=0.
Let A be the event that a gold marble is picked.
Let B₁ and B₂ be the event that the first bag is chosen and the second bag is chosen respectively.
Given: P (B₁ ) = 2.P(B₂)
Also, P(B₁) + P(B₂) = 1
∴ 2P(B₂) + P(B₂) =1
3P(B₂) = 1
P(B₂) = 1/3 and P(B₁) = 2/3
Now
P(A)
= P(A∩(B₁∪B₂))
= P[(A∩B₁)∪(A∩B₂)]
Probability adds up because the events are mutually exclusive
= P(A∩B₁) + P(A∩B₂)
= P(B₁). P(A/B₁) + P(B₂). P(A/B₂)
= (2/3)×(3/16) + (1/3)×(15/24)
= (1/3)
To learn more about probability, visit:
https://brainly.com/question/1969972
#SPJ4