Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :
1.)
8 : 6
Reducing each side of the ratio by an half(1/2) :
8 × ½ : 6 × ½
4 : 3
2.)
15 : 3
Reducing each side of the ratio by ⅓:
15 × ⅓ : 3 × ⅓
5 : 1
3.)
12 : 6
Reducing each side of the ratio by (one-third) ⅓:
12 × ⅓ : 6 × ⅓
4 : 2
4.)
11 : 7
Increasing the proportion by 4 :
11 × 4 : 7 × 4
44 : 28
5.)
25 eggs : 3 hens
Increasing the number of hens by 3, then egg production will also triple
25 eggs × 3 : 3 hens × 3
75 eggs to 9 hens
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Suppose that a box contains one fair coin (Heads and Tails are equally likely) and one coin with Heads on each side. Suppose further that someone else selects one of the two coins at random, tosses it three times, and gets the outcome {Heads, Heads, Heads}. In this problem, you will answer the following question in several parts: What is the probability that the chosen coin was the fair coin
Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Three heads.Event B: Fair coin.The probability associated with 3 heads are:
[tex]0.5^3 = 0.125[/tex] out of 0.5(fair coin).1 out of 0.5(biased).Hence:
[tex]P(A) = 0.125 + 0.5 = 0.625[/tex]
The probability of 3 heads and the fair coin is:
[tex]P(A \cap B) = 0.5(0.125) = 0.0625[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1[/tex]
0.1 = 10% probability that the chosen coin was the fair coin.
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Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answer:
if the three is meant to be a zero then the answer is B, 67.14
Step-by-step explanation:
2x+1+4x+7+5x-1+4x-18+7x-39
Answer: x=2
Step-by-step explanation:
simplify this addition 2m+3m+(-6m)
Answer:
-m
Step-by-step explanation:
2m+3m+(-6m)=2m+3m-6m
=5m-6m
=-m
Answer:
-m
Step-by-step explanation:
2m+3m+(-6m)
Remove parentheses.
2m+3m-6m
Add and subtract.
-1m or -m
Hope this helps :)
what is the zero if the function ?
A -5
b. 2/5
c 2
d 5/2
The answer to that one is C
A drive-through car wash can wash 10 vehicles in 45 minutes. At this rate, how long would it take to wash 4 cars?
Answer:
18
Step-by-step explanation:
First we need to know how many vehicles they can wash in a minute.
1. So you do 10/45. You get 4.5
2. Now that you know that they wash 1 vehicle in 4.5 minutes, you mulitply that by 4. And you get 18.
Hope this helps! :D
answer:
7.5
I'm not good at don't hate me pls???
Someone help plz and thanks
Answer:
Step-by-step explanation:
Total students = 6 + 6 +8 + 4 + 2 +3 + 7 + 5 = 41
Probability of a chosen student be Physics or Chemistry or both =
[tex]\dfrac{8}{41}+\dfrac{4}{41}+\dfrac{5}{41}=\dfrac{17}{41}[/tex]
Solve for X
[tex]\frac{2x+9}{5} \leq \frac{7x-5}{6}[/tex]
Give answer as an improper fraction in its simplest form
Use cross multiplication to figure this out. (What does xy = )
.78x/7 = 19/4y
Answer:
xy = 42.6282051282...
Step-by-step explanation:
0.78x/7 = 19/4y
0.78x * 4y = 3.12xy
19 * 7 = 133
3.12xy = 133
3.12xy/3.12 = 133/3.12
xy = 42.6282051282...
Fill in the blank with the correct math term, and give an example of each.
A. A(n) ________is a mathematical relationship that uses one or more variables, numbers or operation symbols.
Example:
B. A(n)________is a symbol that can be replaced by a number in a mathematical expression or equation.
Example:
C. A(n)_________is a mathematical sentence with an equal sign
Example:
Hellooo! Can someone please help me with this. I’m struggling, and need help. if u can help i would appreciate it. Also on the example parts please give a example, thank u.
A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.
B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.
C. A(n) equation is a mathematical sentence with an equal sign.
A. A(n) equation is a mathematical relationship that uses one or more variables, numbers, or operation symbols.
Example: The variable "x" is used in the equation 2x + 3 = 7. It demonstrates the relationship that arises when "x" is multiplied by 2, added to 3, and the result is 7 as the outcome.
B. A(n) variable is a symbol that can be replaced by a number in a mathematical expression or equation.
Example: In the equation 3y + 2 = 11, "Y" is the variable. The equation can be solved by changing the value of "y," which can take on a variety of possibilities.
C. A(n) equation is a mathematical sentence with an equal sign.
Example: 4 + 5 = 9 is an illustration of an equation. It states that combining 4 and 5 yields the number 9. The equal symbol denotes the equality or balance of the two sides of the equation.
Explanation:
A. An equation is a statement that demonstrates the relationship between different quantities, variables, or numbers using mathematical operations. It might have a variable or several that need to be figured out in order to arrive at a particular value or link.
B. A variable is a symbol that is used to signify an ambiguous or fluctuating quantity in mathematical statements or equations. It is made flexible and generic to represent different values or relationships inside the confines of a mathematical issue.
C. An equation is a mathematical statement that establishes the equality of two expressions by using the equal sign. It indicates that the values of the two sides of the equation are equal or the same. In order to show mathematical relationships and properties, equations are frequently utilised.
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Geometry- Solve the portion. Question#4
Answer:
[tex]d=18[/tex]
Step-by-step explanation:
First let's write our equation[tex]\frac{6}{d-6} =\frac{4}{8}[/tex]ReduceDefinition - reduction refers to the rewriting of an expression into a simpler form
We can reduce [tex]\frac{4}{8}[/tex] to [tex]\frac{1}{2}[/tex]
Our equation is now [tex]\frac{6}{d-6} =\frac{1}{2}[/tex]
Now we can cross multiply
Definition - given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
[tex]d-6=12[/tex]
AddWe are adding because we want our variable to be on one side of the equation
[tex]d=18[/tex]
To check we can show our equation but instead of d we have 18[tex]\frac{6}{18-6} =\frac{1}{2}[/tex]
Subtract and we get
[tex]\frac{6}{12} =\frac{1}{2}[/tex]
Which makes it true
Have a good day!find the slope and y intercept.
Answer:
the slope is 2
the y intercept is (-4,0)
Step-by-step explanation:
slope is calcuated by rise over run
A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100
Answer:
2 students study neither french or Spanish
two hundred parents attend the grade 6 orientation last year. Only 160 parents attended this year. fimd the percent of decrease in the attendance
Answer: 20%
Step-by-step explanation:
200 -> 160
160/200
= 0.8
1 - 0.8
= 0.2
There was a 20% decrease in attendance.
(a−2b)3 when a=−3 and b=−12
help plsss
(the three is an exponent)
Answer:
9261
Step-by-step explanation:
Substitute -3 for a and -12 for b in (a - 2b)^3:
(-3 - 2·-12)^3, or
(-3 + 24)^3, or
21^3 = 9261 (answer)
Your Fourthknight team is holding a fundraiser. The list shows all expenses for the fundraiser.
- A tablet that costs $250
- Soccer tickets that cost $150
- Gift cards totaling $425
- The cost of catering is $875
The members of the team will sell tickets at the fundraiser. The ticket cost is set so that 68 tickets will pay for the cost of prizes and food.
How much does each ticket cost?
Model the profit for the fundraiser using an equation:
Answer:
25
Step-by-step explanation:
Because when you add all the cost and divide by the amount of tickets you get 25
help with this question please!
another word for collinear
Answer: words like straight, symmetrical, aligned.
100 POINTS!!!!!! hELP ASAP EXAM
Show that ( + )^2 = ( + )( − ) + 2
Answer:
2+y=x÷2 y=5 x=23
Step-by-step explanation:
it was very eazy
Let that unknown one be x
[tex]\\ \rm\rightarrowtail x^2=x(-x)+2[/tex]
[tex]\\ \rm\rightarrowtail x^2=-x^2+2[/tex]
[tex]\\ \rm\rightarrowtail 2x^2=2[/tex]
[tex]\\ \rm\rightarrowtail x^2=1[/tex]
[tex]\\ \rm\rightarrowtail x=1[/tex]
Please help! WILL MARK BRAINLIEST
Answer:
2nd option is correct
.........................
Answer:
1 1/9 ft^3
Step-by-step explanation:
5/3*1*2/3=10/9*1=10/9
10/9=1 1/9
go ahed and try im confuesd
Answer:
a and c and e
Step-by-step explanation:
Answer: I believe its proportional
Step-by-step explanation:
8) What are the measures of angles x, y, and z?
State the property that justifies each statement
if y + 6 = 45, then y = 39.
Answer:
Justified ✔
Below is the justification.
Step-by-step explanation:
39 + 6 = 45
=> 45 = 45 ✔
This work justifies that y does equal to 39.
Hoped this helped.
Whats an easy way to focus and get my homework completed quickly?
Answer:
Have all devices that may distract you off or in another room. You should also work in a quiet place, such as a bedroom, library, etc.
Answer: set goals for the time you will be working. put away distractions and electronics. try to work in a quiet place. after working for a while, take a 5-10 minute break to walk around and drink water or eat a small snack. if it helps you, play non distracting music such as lofi or piano music. also stay hydrated while working. i like to write all of the things i have to do in order, and write the time i will be done by them. example
science 2 pm
history 2:45
art 3:15
hope this helps!
For what value of k does the equation 6(x+1)+2 = 3(k/5x + 1) +3 have no solution
This one is an interesting question.
Lets solve first the equation by isolation of the unknown x:
6x + 6 +2 = (3k / 5x )+3 +3
6x = (3k/5x) + 6 -6-2
6x = (3k/5x) -2
6x = (3k / 5x) - (10x / 5x)
6x = (3k-10x)/5x
6x*5x = 3k - 10x
30x² = 3k - 10x
30x² + 10x = 3k
30x² + 10x - 3k = 0
This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.
But delta = b² - 4ac where b = 10, a = 30 and c = -3k
So we need to solve delta < 0
100 - 4*30* (-3k) < 0
100 - 120*(-3)*k < 0
100 - (-360)k < 0
100 + 360k < 0
360k < -100
k < -100/360= -10/36
So there is no solution for all k strictly less than -10/36
Good luck
Simplify the given equation
5x+2(x-3)=2x-1
A) 7x-3=-2x-1
B) 7x-6=-2x+2
C) 7x-6=-2x-2
Answer: B) 7x-6=-2x+2
Step-by-step explanation:
Solve for x.
4/5(x−3/10)=−2 1/4
Enter your answer as a mixed number in simplest form in the box.
Answer:
x = -201/80
Mixed form: x = -2 41/80
Step-by-step explanation:
Value of x = [tex]-2\frac{1}{4}[/tex]
What is algebraic equation?Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
Examples: (y²x² + 2xy – y)/(x – 1) = 12.
Given, equation
[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]
⇒4/5[(10x-3)/10] = -9/4
⇒2/5[(10x-3)/5] = -9/4
⇒(20x-6)/25 = -9/4
⇒80x - 24 = -225
⇒80x = -225 + 24
⇒x = -201/80
⇒x = -2.5125
⇒x = [tex]-2\frac{1}{4}[/tex]
Hence, the value of x in simplest mixed number is [tex]-2\frac{1}{4}[/tex]
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use the GCF to factor 16+6
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.
what is trigonometric functions
Answer:
a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.
Step-by-step explanation:
hope this helps
What is the approximate solution to this?