Solve: 1/2x + 3/4x -4 = 6 (ANSWER QUICK)
Answers
Answer:X=8
Step-by-step explanation:
Related Questions
Of all the yoga students in a particular area, 20% study with patrick and 80% study with carl. we also know that 8% of the yoga students study with patrick and are female, while 66% of the students study with carl and are female. what is the probability that a randomly selected yoga student is female, given that the person studies yoga with carl? a. 0.35 b. 0.56 c. 0.69 d. 0.83
Answers
The option D is correct. The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.
According to the statement
we have given that the Of all the yoga students in a particular area, 20% study with Patrick and 80% study with Carl. We also know that 8% of the yoga students study with Patrick and are female, while 66% of the students study with Carl and are female.
And we have to find that the probability that a randomly selected yoga student is female, given that the person studies yoga with Carl.
So, For this purpose,
Let p- Patrick , c-Carl and f-female
And we have given that the
P(p) = 20% = 0.2
P(c) = 80% = 0.8
P(p ∩ f) = 8% = 0.08
P(c ∩ f) = 66% = 0.66
Then
We have to find conditional probability where yoga student is female , given that the person studies yoga with Carl
It become according to conditional probability formula:
P(f/c) = P(c ∩ f) / P(c)
Substitute the values in it then
P(f/c) = 0.66 / 0.8
P(f/c) = 0.825
Approximately 0.83.
So, The option D is correct. The probability that a randomly selected yoga student is female, given that the person studies yoga with Carl is 0.83 or 83%.
Learn more about Conditional Probability here
https://brainly.com/question/23382435
#SPJ4
What’s the sum of -3a+2 and 5a-3
Answers
Answer:
2a-1
Step-by-step explanation:
Answer:
2a-1
Step-by-step explanation:
you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.
Determine whether the parallelogram with the given vertices is a rectangle, rhombus , or square. Give all names that apply. Explain your reasoning. You must use properties of diagonals to show and explain your reasoning. A(-6,-2)B (-3,3) C (2,0)D (-1,-5)
Answers
We will have the following:
First, we have the graph of the problem:
Now, we determine the slope of the diagonals, and if those are perpendiullar we then have that it will be a square, that is:
\(\begin{cases}m_{AC}=\frac{0-(-2)}{2-(-6)}\Rightarrow m_{AC}=\frac{1}{4} \\ \\ m_{BD}=\frac{-5-3}{-1-(-3)})\Rightarrow m_{BD}=-4\end{cases}\)From this, we can see that the slopes are perpendicular. This is a condition for a square or a rhombus.
Now, we determine if the graph belongs to a square by determining if the slopes of AB & BC are perpendicular:
\(\begin{cases}m_{AB}=\frac{3-(-2)}{-3-(-6)}\Rightarrow m_{AB}=\frac{5}{3} \\ \\ m_{BC}=\frac{0-3}{2-(-3)}\Rightarrow m_{BC}=-\frac{3}{5}\end{cases}\)From this we can see that those segmens are also perpendicular, so in this particular case the graph is a square. [Which technically speaking is also a rhombus].
The reasoning is that the diagonals are perpendicular and the external segments are also perpendicular, a property that belong to squares.
Now, we find the intersection point of the diagonals, that is:
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})_{}\)\(M(\frac{2-6}{2},\frac{0-2}{2})\rightarrow M(-2,-1)\)Now, we determine the distance of all 4 segments AM, BM, CM & DM:
\(\begin{cases}d_{AM}=\sqrt[]{(-2+6)^2+(-1+2)^2}\Rightarrow d_{AM}=\sqrt[]{17} \\ \\ d_{BM}=\sqrt[]{(-2+3)^2+(-1-3)^2}\Rightarrow d_{AM}=\sqrt[]{17} \\ \\ d_{CM}=\sqrt[]{(-2-2)^2+(-1-0)^2}\Rightarrow d_{CM}=\sqrt[]{17} \\ \\ d_{DM}=\sqrt[]{(-2+1)^2+(-1+5)^2}\Rightarrow d_{DM}=\sqrt[]{17}\end{cases}\)So, the distance of all segments that divide the diagonals are equal, thus the points describe a square.
My absolute value is equal to my
opposite. I am not zero. What
must be true about me?
Answers
Answer:
A negative number
Step-by-step explanation:
the distance between points (3,5) and (-2,1)=
Answers
Answer:
Slope: y= 4/5x+21/8
The distance is 4 units up and 5 units to the right.
Step-by-step explanation:
you are asked to help with the radiodating of a plant based sample excavated from an archaeological site. the rate of 14c decay in the sample is 73.0% of the 14c decay rate in a living plant. what is the estimated age of the archaeological sample? (the half-life for 14c is 5730 years.)
Answers
The estimated age of the archaeological sample as calculated from the given data is = 2622.58333 years
Half life given is 5730
t₆.₅ = Ln2/k
k= ln 2/ 5730
The rate constant ,
k = 0.00012 year⁻¹
Given that 73 % of the 14C remains
then |A1|/|A2| = 0.73
As we know ,
|A1|/|A2| = e ⁻₍kt₎
Hence, on solving the equation we get ,
ln(0.73)= -0.00012t
t = -0.31471/ -0.00012
= 2622.58333 years
Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential (or, rarely, non-exponential) decay.
For example, the medical sciences refer to the biological half-life of drugs and other chemicals in the human body. The converse of half-life (in exponential growth) is doubling time.
To learn more about half life
https://brainly.com/question/14356456
#SPJ4
What’s the answer ????
Answers
Answer:
A-1
Step-by-step explanation:
It perfectly represents the scenario.
Answer:
A - 2
Step-by-step explanation:
younger = -
A - 2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Mrs.Drew wants to build a square sandbox with an area of 225 square feet.What is the total length of wood Mrs.Drew needs to make the sides of the sandbox?
Can someone help me with this and thank you! :))
Answers
Therefore each side measures 15 feet
Draw an enhanced entity-relationship diagram for the following case.
AutoPlanet is a company that sells and services cars and light trucks through a nationwide network of dealerships. Each dealership is authorized to both sell and service both cars and light trucks. AutoPlanet intends to develop a new information system to improve its competitiveness.
Each dealership is identified by a unique dealership number assigned by AutoPlanet. The company also wants to store the dealership’s address, phone number, and the name of its general manager. AutoPlanet want to have good relations with the cities in which its dealerships are located. For each such city, identified by state and city names, it wants to store the name of its mayor, the address of its city hall, and its main telephone number. There can be more than one AutoPlanet dealership in a city.
AutoPlanet wants to keep track of each dealership’s employees. AutoPlanet assigns each employee an employee number that is unique across the country. It also wants to maintain each employee’s name, home address, and cell phone number. Employees have dependents (spouse and children) and the company stores their names, ages (for insurance purposes), and gender. Some employees have no dependents.
There are several categories of employees, two of which are salesperson and mechanic. It is possible than an employee functions in more than one category. In addition to the common data about employees, AutoPlanet wants to store the year a salesperson was hired and the salesperson’s sales commission percentage. Some salespersons are sales managers who manage other salespersons while also selling cars, themselves. All mechanics are required to attend periodic training programs. These programs are identified by a unique name, cost, and length in days. AutoPlanet wants to maintain the dates that a mechanic took a particular course and the grade that the mechanic received at the end of it.
There are only two types of mechanics: car mechanics and light truck mechanics. All mechanics are restricted to working only on the type of vehicles (i.e. cars or light trucks) that they specialize in. For car mechanics, the company wants to record the mechanic’s current salary; for light truck mechanics the company wants to record the mechanic’s skill rating.
Beyond what has been described above, AutoPlanet wants to focus on car sales for now and will add light truck sales at a later time. Each car is uniquely identified by its vehicle identification number (VIN), plus its model and year of manufacture. Customers are identified by a unique customer number assigned by AutoPlanet, plus their name, address, and telephone number. AutoPlanet wants to record which salesperson sold which car to which customer, including the date of the sale and the selling price.
Answers
The enhanced entity-relationship (EER) diagram for AutoPlanet's information system includes entities such as Dealership, City, Employee, Dependent, Category, Training Program, Mechanic, Car, Customer, and more. The diagram also includes attributes for each entity, capturing relevant information like addresses, phone numbers, employee numbers, and sales commission percentages.
The enhanced entity-relationship (EER) diagram for AutoPlanet's information system captures the entities and relationships involved in the system. The main entities in the diagram are Dealership, City, Employee, Dependent, Category, Training Program, Mechanic, Car, Customer, and Salesperson.
The Dealership entity is identified by a unique dealership number and stores information such as address, phone number, and the name of the general manager. The City entity is identified by state and city names and stores data about the mayor, city hall address, and telephone number.
The Employee entity has attributes like employee number, name, home address, and cell phone number. Employees can have dependents, represented by the Dependent entity, which stores their names, ages, and gender. The Category entity represents the different employee categories, such as salesperson and mechanic.
The relationships between entities include Employee-Dependent (one-to-many), Employee-Category (many-to-many), Salesperson-Car (many-to-many), Mechanic-Training Program (many-to-many), and more.
The Car entity is identified by its vehicle identification number (VIN) and includes attributes for model and year of manufacture. The Customer entity is identified by a unique customer number and stores information like name, address, and telephone number. The Salesperson entity is linked to the Car and Customer entities, capturing data about which salesperson sold a car to a customer, along with the sale date and selling price.
The EER diagram provides a visual representation of the entities, relationships, and attributes in AutoPlanet's information system, allowing for a better understanding of the system's structure and data flow.
LEARN MORE ABOUT commission HERE:
https://brainly.com/question/20987196
#SPJ11
What is Scientific notation
Answers
Answer:
Scientific notation simply refers to the process of expressing long numbers in decimal.
Answer:
Step-by-step explanation
Scientific notation is a way of writing numbers that is often used by scientists and mathematicians to make it easier to write large and small numbers. A number that is written in scientific notation has several properties that make it very useful to local scientists. It makes very large numbers into smaller numbers using decimals and exponents.
1. Which part of the angle is the vertex?
A. Point C
B. Point AB
C. AB
Answers
Answer:
a
Step-by-step explanation:
Which of the following is equivalent to the expression x2 – 16?
A. (x – 4)2
B. (x – 4)(x + 4)
C. (x – 8)(x + 8)
D. (x + 4)(x + 4)
Answers
Answer:
Answer is B \((x-4)(x+4)\)
Step-by-step explanation:
By expanding the expression:
\((x-4)(x+4)\\x^2-4x+4x-16\\x^2-16\)
Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date: 2 + 0.25x What does the constant term of the expression represent?
Answers
Answer: flat rental fee of $2
Step-by-step explanation:
independent factor that does not change. Coeffocient 0.25 will be charge for late days
How can I explain that a relation is a function?
Answers
Answer:
Using a graph of the data points, you can determine if a relation is a function by using the vertical line test. If you can draw a vertical line through a graph and touch only one point, the relation is a function.
Step-by-step explanation:
Answer:
use a graph of data points
I need help with this please!!
Answers
I hope i’m right.
Answer:
The answer is C
Step-by-step explanation:
The one with the most does is your answer.
What are the two numbers on the upper left and the three on the bottom?
Answers
The computation of the equation shows.that x is -4 and y is 0.6.
How to calculate the value?4x + 5y = -1
-5x - 8y = 10
The value of x and y will be calculated thus:
-5 × (4x + 5y = -1)
4 × -(5x - 8y = 10)
-20x - 25y = 5
-20x -32y = 40
Add the equation
57y = 45
y = 45/75 = 0.6
Since 4x + 5y = -1
4x + 5(0.6) = -1
4x + 3 = -1
x = -1 - 3
x = -4
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
I’m doing this assignment called solving logarithmic equations and got stuck on this question
Answers
Here are the steps in solving the value of x in the equation.
1. Subtract 4 on both sides of the equation.
\(\begin{gathered} 4+(9\text{ }ln\text{ }x)-4=15.8-4 \\ 9\text{ }ln\text{ }x=11.8 \end{gathered}\)2. Divide both sides of the equation by 9.
\(\frac{9\text{ }ln\text{ }x}{9}=\frac{11.8}{9}\Rightarrow ln\text{ }x=1.31111\)3. By definition of natural logarithm:
\(ln\text{ }x=y\Leftrightarrow e^y=x\)We can rewrite ln x = 1.3111 as:
\(e^{1.31111}=3.71\)Therefore, the value of x is 3.71. (Option D).
What are some common Energy Transmission employers? Check all that apply.
oil and gas companies
natural gas companies o
local schools
sales and service companies
local governments
construction companies
Answers
Answer:
oil and gas companies
natural gas companies
local governments
Answer:
A. oil and gas companies
B. natural gas companies
E. local governments
Step-by-step explanation:
I just completed it on Edge
The price of pears can be determined by the equation P=0.54n, where P is the price and n is the number of pears. What is the constant of proportionality (unit rate)?
PLEASE NEED THIS ASAP!!!!!!!!!!
Answers
Answer:
The constant of proportionality is 0.54
Step-by-step explanation:
Given:
P = 0.54n
Where,
P = price of pears
n = number of pears
What is the constant of proportionality (unit rate)?
The constant of proportionality is 0.54
This means a unit of pears cost $0.54
If the number of pears bought, n = 50
Then,
P = 0.54n
When n = 50
P = 0.54(50)
= 27
P = 27 when n = 50
The correct answer is:
The constant of proportionality is 0.54
If three standard, six-faced dice are rolled, what is the probability that the sum of the three numbers rolled is 9
Answers
When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.
Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.
Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.
The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.
In order to get a sum of 9, there are four combinations that can be rolled:
3 + 3 + 3 = 9
3 + 4 + 2 = 9
3 + 5 + 1 = 9
4 + 3 + 2 = 9
The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2
= (1/216) + (3/216) + (3/216) + (3/216)
= 10/216 or 5/108.
Learn more about probabilities:
https://brainly.com/question/29381779
#SPJ11
The value of Zlatans house has increased by 7%
His house is now valued at £749000
Work out the value of the house before the increase
Answers
1% = 7000 ( divide by 107 to get 1%)
100% = 700000 (x100 to get original price)
£700,000
Find the value of the variable A. 48 B. 180 C. 139 D. 39
Answers
please help tysm!!!!!!!!!!!!!!
Answers
I'm pretty sure It'd be 74° <3
74 degrees is the answer!!!
Explanation: have an amazing day!!!
What is the answer??
Answers
Answer:
31
Step-by-step explanation:
Square both sides of the equation to get
x+5 = 36
x = 31
HURRY UP Please answer this question
Answers
In response to the supplied query, we may state that 759 is the value decimal entered into the green box.
what is decimal?Both integer and non-integer values are frequently stated in decimal form. Non-integer values are now part of the enlarged Hindu-Arabic numeral system. The process of representing numbers in the decimal system is referred to as decimal notation. A decimal is a number that consists of both a whole and a fractional part. Whole and partially entire quantities are expressed numerically using decimal numbers, which fall between integers. A decimal number's whole number and its fractional component are separated by a decimal point. The decimal point is the dot that separates the full number from the fractions. For instance, 25.5 is a decimal number.
We may leverage the fact that 0.83 is a decimal representation of a rational number with a finite decimal portion to express 0.83 as a fraction. We may say it this way:
0.83 = 83/100
\(8.39 = 8 + 0.39\s= 8 + 39/100\s= 8 + 39/(10^2)\s= 8 + F/(10) (10)\)
Now that the decimal is gone from the right-hand side's numerator, we may multiply both sides by 10:
\(10 * 8.39 = 10 * (8 + F/10)\\839 = 80 + F\sF = 839 - 80 = 759\)
So, 8.39 may be expressed as the following fraction:
8.39 = 8 + 0.39 = 8 + 39/100 = 8 + 759/1000
759 is the value entered into the green box.
To know more about decimal visit:
https://brainly.com/question/29765582
#SPJ1
a player succeeds at an action if a or is rolled. assuming a fair d10, what is the probability of success? type as:
Answers
The probability of success is 1/5. The solution has been obtained by using probability.
What is probability?
In order to calculate the chance of an event, the mathematical notion of probability is used. It only enables us to estimate the likelihood that an event will take place. On a scale of 0 to 1, with 0 representing impossibility and 1 representing a specific occurrence.
We are given that a d10 dice is rolled.
The sample space will be
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
It is given that a player succeeds at an action if a 9 or 10 is rolled.
Probability of getting 9 or 10 = 2/10
Probability of getting 9 or 10 = 1/5
Hence, the probability of success is 1/5.
Learn more about probability from the given link
https://brainly.com/question/24756209
#SPJ1
A construction company purchased
246 boxes of bolts. Each box costs $8.
How much did the bolts cost the
construction company?
Answers
Answer:
$ 1,968
Step-by-step explanation:
Boxes purchased = 246
Cost of 1 box = $ 8
Cost of 246 boxes
= 246 × 8
= $ 1,968
Hope it helps ⚜
total boxes= 246
each box= $8
to find:the amount the boxes of bolts costed the construction company.
solution:to find how much the boxes costed the company, just multiply total boxes by the cost of each box.
\(246 \times 8\)
\( = 1968\)
therefore, the amount the boxes costed the construction company is $1968.
how to find the perimeter of a triangle with vertices
Answers
Answer:
P = A + B + C
Step-by-step explanation:
Essentially, just add the length of each side. The sum is the perimeter.
Hit brainliest if this was helpful :)
add each side
hope ithelps you
At which plant is the cost lowest for producing 5 radios?
Answers
Answer:
plant c is the answer to your question
the card game euchre uses a deck with 32 cards: ace, king, queen, jack, 10, 9, 8, and 7 of each suit. suppose you choose one card at random from a well-shuffled euchre deck. what is the probability that the card is a jack, given that you are told it is a face card (jack, queen, or king of any suit)?
Answers
The probability of drawing a jack, given that we are told it is a face card, is 1/3 or approximately 0.33.There are 12 face cards in a well-shuffled euchre deck, comprising of 4 jacks, 4 queens, and 4 kings. The probability of drawing a face card from the deck is 12/32, or 3/8.
Now, we are asked to find the probability of drawing a jack, given that we already know the card is a face card. This can be calculated using conditional probability, which is the probability of an event occurring given that another event has already occurred.
The probability of drawing a jack given that the card is a face card can be represented as P(Jack | Face card). Using Bayes' theorem, we can calculate this probability as follows:
P(Jack | Face card) = P(Face card | Jack) * P(Jack) / P(Face card)
Here, P(Face card | Jack) represents the probability of drawing a face card given that the card is a jack, which is 1. P(Jack) represents the probability of drawing a jack from the deck, which is 4/32 or 1/8.
We already know that P(Face card) is 3/8.Substituting these values into the formula, we get:
P(Jack | Face card) = (1 * 1/8) / (3/8) = 1/3.
For such more questions on Probability:
https://brainly.com/question/24756209
#SPJ11