Answer:
No solution
Step-by-step explanation:
Suppose the number is [tex]y[/tex] so ([tex]y = ...[/tex]).
Now [tex]y[/tex] is equal to twice a smaller number plus 3. Assuming the smaller number as [tex]x[/tex], we can write it as:
[tex]y = 2x + 3[/tex] --- (1)
Also, the same number [tex]y[/tex] is equal to twice the sum of smaller number and 1:
[tex]y=2x+1[/tex] --- (2)
Now for both of these equations, we need to find a point which satisfies them.
For example, for equation 1, take [tex]y=5[/tex] which means [tex]2(1) + 3[/tex] so the solution will be (1, 3).
Substituting the same value of y here in equation 2:
[tex]5=2(2)+1[/tex] so the solution for this will be (2, 5).
It means that there is no such point which can satisfy both the equations. Hence, there is no solution possible for these two equations.
Answer: The system of equations HAS NO SOLUTION.
Step-by-step explanation:
Let be "y" the first number and "x" the smaller number.
Since the first number is equal to twice a smaller number plus 3, then:
[tex]y=2x+3[/tex] (Equation 1)
Since the same number is equal to twice the sum of the smaller number and 1, then:
[tex]y=2(x+1)[/tex]
[tex]y=2x+2[/tex] (Equation 2)
We need to remember that the equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
You can observe in the Equation 1 that the slope of this line is 2 and you can notice in the Equation 2 that the slope of that line is also 2. Therefore, the lines are parallel and the system of equations has no solution.
Which mathematical statements are true?
1) If 3 is an odd number, then 3 times 3 is an even number.
2) If 6 is less than 7, then 4 is greater than 7.
3) Six is divisible by 3, and 10 is a multiple of 2.
4) The average of the data is greater than the largest value in the data, or it’s less than the largest value in the data.
5) The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.
6) If an equilateral triangle has equal angles, then all its angles will measure 45°.
Answer:
1) If 3 is an odd number, then 3 times 3 is an even number.
False because multiplying odd number by an odd number also gives an odd number.
2) If 6 is less than 7, then 4 is greater than 7.
False because 4 is smaller than 6. As 6 is smaller than 7 then 4 must also be smaller.
3) Six is divisible by 3, and 10 is a multiple of 2.
True. 6/3 = 2 and 2 x 5 = 10. Both the conditions are true so it is also true.
4) The average of the data is greater than the largest value in the data, or it’s less than the largest value in the data.
True.
We have two conditions in this statement and an 'or' between them. One of the conditions is true that is "average is less than the largest value in the data". So the statement as a whole is true.
5) The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.
True.
6) If an equilateral triangle has equal angles, then all its angles will measure 45°.
False.
A triangle has 3 angles whose sum = 180 degrees.
For equilateral triangle each angle will measure 180/3= 60 degrees.
Answer: 2 following statements are true
The first true statement:
Six is divisible by 3, and 10 is a multiple of 2.
We know this because 6 is divisible by 3, and again proven by when we divide 10 by 5 we get 2, so 10 is a multiple of 2.
The second true statement:
The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.
Step-by-step explanation:
A life insurance policy costs $13.58 for every $1,000 of insurance. At this rate, what is the cost of $80,000 of insurance?
Answer:
80 times 13.58 =1086400
Step-by-step explanation:
WILL GIVE YOU BRAINLIEST if you answer correctly!!
which expression is equivalent to sqrt 128 x^8 y^3 z^9? assume y> 0 and z > 0
Answer:
Option (C): 8x^4yz^4√2yz
Step-by-step explanation:
Math. Give me Brainliest please?
Solve sin θ +1 = cos2 θ on the interval 0 less than or equal to θ less than 2pi
Answer:
The solution of the equation is Ф = 0 or Ф = 3π/2
Step-by-step explanation:
* Lets revise some facts in trigonometry
- The identity sin² Ф + cos² Ф = 1
- By subtracting sin² Ф from both sides then cos² Ф = sin² Ф - 1
- In the rectangular plane the point (x , y) represents (cos Ф , sin Ф)
where x = cox Ф and y = sin Ф
- The point (1 , 0) lies on the positive part of x-axis means cos Ф = 1
and sin Ф = 0, then Ф = 0 or 2π
- The point (-1 , 0) lies on the negative part of x-axis means cos Ф = -1
and sin Ф = 0, then Ф = π
- The point (0 , 1) lies on the positive part of y-axis means cos Ф = 0
and sin Ф = 1, then Ф = π/2
- The point (0 , -1) lies on the negative part of y-axis means cos Ф = 0
and sin Ф = -1, then Ф = 3π/2
* Lets solve the problem
∵ sin Ф + 1 = cos² Ф
- To solve we must change cos² Ф to sin² Ф
∵ cos² Ф = sin² Ф - 1
- substitute cos² Ф in the equation by 1 - sin² Ф
∴ sin Ф + 1 = 1 - sin² Ф ⇒ add sin² Ф to both sides
∴ sin² Ф + sin Ф + 1 = 1 ⇒ subtract 1 from both sides
∴ sin² Ф + sin Ф = 0
- Take sin Ф as a common factor from both terms
∴ sin Ф (sin Ф + 1) = 0
- Equate each factor by 0
∴ sin Ф = 0 OR sin Ф + 1 = 0
- Remember 0 ≤ Ф < π
∵ sin Ф = 0 ⇒ from the information above
∴ Ф = 0
∵ sin Ф + 1 = 0 ⇒ subtract 1 from both sides
∴ sin Ф = -1
- From the information above
∴ Ф = 3π/2
* The solution of the equation is Ф = 0 or Ф = 3π/2
Use the function below to find F(5).
F(x) = 2^x
f(x) = 2^x
f(5) = 2^5
f(5) = 32
Definition:
es. This is a disadvantage or weak point that makes someone or something less effective.
Answer:
Limitation
Step-by-step explanation:
On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on January 16th using the ordinary interest method what is the maturity value do on January 16th
Answer:
$ 31050
Step-by-step explanation:
Step 1 : Write the formula for calculating simple interest.
Simple Interest = P x R x T
100
P: Principal Amount-The loan taken (30,000)
R: Interest rate at which the loan is give (6)
T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)
Step 2: Substitute values in the formula
Simple Interest = 30,000 x 6 x 7/12
100
Simple Interest = $1050
Step 3: Calculate the amount due at maturity
At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.
Amount at maturity = Principal Amount + Simple Interet
Amount at maturity = 30,000 + 1050
Amount at maturity = $31050
!!
What is the slope of the line y+2=-2(x-3)
Answer:
m = -2
Step-by-step explanation:
This equation is in point-slope form
The numbers added or subtracted by a variable are a coordinate point.
y + 2 --> (0,-2)
x - 3 --> (3,0)
(3,-2)
The slope is represented by the number outside of the parentheses.
Therefore, the slope of the line is -2
Answer:
-2
Step-by-step explanation:
This equation is written in point slope form
y-y1 = m(x-x1)
where (x1,y1) is a point on the line and m is the slope
y- -2 = -2(x -3)
A point on the line is (-3, -2) and the slope is -2
Sanjay solved the equation below. Which property did he use to determine that 7x+42=42 is equivalent to
7(x+6)=42
7x+42=42
7x=0
x=0
Step-by-step explanation:
7(x + 6) = 42
distributive property: a(b + c) = ab + ac
(7)(x) + (7)(6) = 42
7x + 42 = 42
subtraction property of equality (subtract 42 from both sides)
7x + 42 - 42 = 42 - 42
7x = 0
division property of equality (divide both sides by 7)
7x : 7 = 0 : 7
x = 0
Answer:
1. Distributive property: a(b + c) = a.b + a.c
2. Property of subtraction of equality
3. Property of division of equality
Step-by-step explanation:
The given equation is 7x + 42 = 42
7(x+6)=42 [Distributive property: a(b + c) = a.b + a.c]
7x+42=42 [Property of subtraction of equality]
Subtract 42 from both sides.
7x + 42 - 42 = 42 - 42
7x=0
Property of division of equality
Divide both sides by 7.
x=0
What is the discriminant of 9х2 + 2 = 10x?
[tex]\bf 9x^2+2=10x\implies 9x^2-10x+2=0 \\\\[-0.35em] ~\dotfill\\\\ \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}x^2\stackrel{\stackrel{b}{\downarrow }}{-10}x\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}~~\checkmark\\ negative&\textit{no solution} \end{cases} \\\\\\ (-10)^2-4(9)(2)\implies 100-72\implies 28[/tex]
a triangular pyramid has a triangular base with a height of 1.5 inches and base length of 4 inches, and height of 9 inches. What is the volume ?
Step-by-step explanation:
Volume of a pyramid is:
V = ⅓ AH
where A is the area of the base and H is the height of the pyramid.
The base is a triangle. Area of a triangle is:
A = ½ bh
where b is the base length and h is the height.
A = ½ (4)(1.5)
A = 3
V = ⅓ (3)(9)
V = 9
The volume is 9 in³.
The volume of the triangular pyramid with a triangular base is 9 cubic inches.
What is the volume of a triangular pyramid?The volume of the triangular pyramid with a height h and base area B is
Volume = 1/3 × B × h cubic units
What is the area of a triangle?The area of a triangle is 1/2 × b × h sq. units
where b - base and h - height the triangle.
Calculating the volume:It is given that a triangular pyramid has a triangular base with
base length b = 4 inches
height of the triangle h = 1.5 inches and
height of the pyramid = 9 inches
So, the volume of the pyramid = 1/3 × B × h
Where base area B = 1/2 × b × h
⇒ B = 1/2 × 4 × 1.5
= 3.0 sq. inches
And the volume = 1/3 × 3.0 × 9
= 9 cubic inches.
Therefore, the volume of the given triangular pyramid is 9 cubic inches.
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julie has $80 in her savings account and plans to save $x each month for 8 months.The expression $8x+$80 represents the total amount in the account after 8 months.Factor this expression
Answer:
[tex]8(x+10)[/tex]
Step-by-step explanation:
we have the expression
[tex](8x+80)[/tex]
we know that
[tex](8x+80)=(8x+8(10))[/tex]
Factor the number 8
[tex](8x+8(10))=8(x+10)[/tex]
therefore
The expression factored is [tex]8(x+10)[/tex]
The factorization of the given expression is given as:
[tex]8(x+10)[/tex]
Step-by-step explanation:To factor a algebraic equation means to represent it as the multiplication of the simple expressions.
( i.e. if the expression has a common multiple in each of the terms then we take it out and represent the rest of the expression in brackets.
Also, we can express a algebraic equation by the multiplication of the factors of the expression )
We are given a expression as:
[tex]8x+80[/tex] which represents the total amount in the account after 8 months.
and x represents the amount saved each month.
Since both the terms i.e. 8x and 80 have a common multiple as: 8
Hence, we take it out of the expression and write the resulting expression as follows:
[tex]8x+80=8(x+10)[/tex]
What is the answer for this
Answer: [tex]y=\frac{1}{30}x+1[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
You need to find slope of the line with the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Pick to points of the given line. You can choose the point (60,3) and the point (30,2).
Then, substituting into the formula:
[tex]m=\frac{2-3}{30-60}=\frac{1}{30}[/tex]
You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:
[tex]b=1[/tex]
Substituting the slope and the y-intercept found into [tex]y=mx+b[/tex], you get the equation of this line:
[tex]y=\frac{1}{30}x+1[/tex]
Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.
Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Which of the following best describes the theoretical probability distribution?
A) constant
B) symmetric
C) positively skewed
D) negatively skewed
Answer:
B) symmetric
Step-by-step explanation:
We will find the sample space for rolling two dices first
Here first value in ordered pair represents yellow die and second represents blue die
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
The subtraction gives us:
0 , -1 , -2, -3, -4, -5, 1, 0, -1, -2, -3, -4, 2, 1, 0, -1, -2, -3, 3, 2, 1, 0, -1, -2, 4, 3, 2, 1, 0, -2, 5, 4, 3, 2, 1, 0
So the distribution will be as follows:
X 5 4 3 2 1 0 -1 -2 -3 -4 -5
P(X) 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36
By observing the probabilities, we can conclude that the distribution will be symmetric
Hence, Option B is correct ..
Answer:
its B symmetric
Step-by-step explanation:
got it right on ed
A line of fit might be defined as
Question 1 options:
a)
a vertical line halfway through the data.
b)
a line that might best estimate the data and be used for predicting values.
c)
a line that connects all the data points.
d)
a line that has a slope greater than 1.
Answer:
a line that might best estimate the data and be used for predicting values.
Choice B is correct
Step-by-step explanation:
A line of fit might be defined as;
a line that might best estimate the data and be used for predicting values.
This line connects most of the data points thus minimizing the squared residuals of the regression.
I hope this helps...
Answer:
A line of fit might be defined as:
b) a line that might best estimate the data and be used for predicting values.
Step-by-step explanation:
Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
Line of best fit is actually a good approximation of data and is used to predict values on the graph.
Find an equation for the line that passes through the point (-3,7) and is perpendicular to 3x-5y=80. Give your answer in point-slope form. Show as much work as possible to support your answer.
Answer:
y-7=-(5/3)(x+3)
Step-by-step explanation:
step 1
Find the slope of the line that is perpendicular to 3x-5y=80
we have
3x-5y=80
5y=3x-80
y=(3/5)x-16
The slope of the given line is m1=3/5
Remember that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
m1*m2=-1
Find m2
(3/5)*m2=-1
m2=-5/3
step 2
Find the equation of the line into point slope form
y-y1=m(x-x1)
we have
m=-5/3
point (-3,7)
substitute
y-7=-(5/3)(x+3) ----> equation of the line into point slope form
The officer stepped off 20 paces from E to G. If his pace is 2 1/2 feet long. How wide was the river?
Answer:
The wide of river is [tex]50\ ft[/tex]
Step-by-step explanation:
In this problem we know that
Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence
therefore
EG=EF
[tex]EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft[/tex]
Evaluate f(x) =3 |x-2| + 1 for f(-2) and f(1)
Answer:
Step-by-step explanation:
f(-2) = 3*abs(x - 2) + 1
f(-2) = 3*abs(-2-2) + 1
f(-2) = 3* abs(-4) + 1
f(-2) = 3 * 4 + 1
f(-2) = 13
===========
f(1) = 3*abs(1 - 2) + 1
f(1) = 3*abs(-1) + 1
f(1) = 3*1 + 1
f(1) = 4
What is the quotient of 4536 and 36?
Answer:
126.
Step-by-step explanation:
Using long division:
1 2 6
---------
36 ) 4536
36
---
93
72
---
216
216
----
Answer:
126
Step-by-step explanation:
you divide 4536 and 36 and you get 126 as your quotient
Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.
Find the coordinates of midpoint D.
Answer:
Midpoint D (-a-b , c)
Third option
Step-by-step explanation:
Midpoint D
x = 1/2 (-2a - 2b) = -a - b
y = 1/2 (2c) = c
Midpoint D (-a-b , c)
Answer: (-a-b, c)
Step-by-step explanation:
We know that the mid point of a line having endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :-
[tex]x=\dfrac{x_1+x_2}{2}\ , \ y=\dfrac{y_1+y_2}{2}[/tex]
In the given figure it can be seen that D is the midpoint of RT :
Since R(-2b , 2c) and T(-2a, 0)
Then , the midpoint D of a line having endpoints [tex](-2b,2c)[/tex] and [tex](-2a,0)[/tex] is given by :-
[tex]x=\dfrac{-2b+(-2a)}{2}=\dfrac{2(-a-b)}{2}=-a-b\ , \ y=\dfrac{2c+0}{2}=c[/tex]
Hence , the coordinates of midpoint D = (-a-b, c)
(دل) +
(2/5x+5/8)+(1/5+-1/4)
Answer:
[2x + 1\5] + ⅜
Step-by-step explanation:
Simply combine like-terms, then evaluate.
Analyze the diagram below and complete the instructions that follow
Find a, b and c
. a= 12, b= 6(square root) 3, c= 3 (square root) 6
a= 12, b=12 (square root) 2, c= 3 (square root) 6
a= 6 (square root) 3, b= 12, c= 6 (square root) 2
a= 6 (square root) 3, b= 12 (square root) 3, c= 6 (square root) 2
Answer:
9
Step-by-step explanation:
Answer:
b=12 , a=6[tex]6 \sqrt{3}[/tex] , c=6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
based on the graph you are showing, you can use "SOH CAH TOA"
for right triangles, then you use "CAH" for get b:
[tex]Cos(60)=\frac{6}{b}\\b*Cos(60)=6\\b*\frac{1}{2}=6\\ b=6*2\\b=12\\\\[/tex]
you do the same for a, but in this case you use sin, not cos:
[tex]sin(60)=\frac{a}{b} \\b*sin(60)=a\\\\12*\sqrt{3}/2=a\\ 6\sqrt{3}=a\\[/tex]
and with your b value, you can get c, but now you use Cos with the 45 angle:
[tex]b*cos(45)=c\\12*\sqrt{2}/2=c\\ 6\sqrt{2}=c[/tex]
remember SOH CAH TOA means, Sin(x)=opposite/Hypotenuse, Cos(x)=adjacent/hypotenuse, and tan(x)=Opposite/adjacent.
Which function has a range of y < 3?
y=3(2)x
y=2(3)x
y=-(2)x +3
y = (2)x - 3
Answer:
[tex]\large\boxed{y=-(2)^x+3}[/tex]
Step-by-step explanation:
[tex]\text{A function y = a(b)}^x\ \text{has a range:}\\\\y<0\ \text{for}\ a<0\\\\y>0\ \text{for}\ a>0\\\\f(x)+n-\text{shift a graph}\ n\ \text{units up}\\f(x)-n-\text{shift a graph}\ n\ \text{units down}\\f(x+n)-\text{shift a graph}\ n\ \text{units to the left}\\f(x-n)-\text{shift a graph}\ n\ \text{units to the right}\\\\\text{We have the range}\ y<3.\ \text{Therefore}\ a<0\ \text{and}\ n=3.[/tex]
The function with a range of y < 3 among the given options is y=-(2)x +3, because it decreases by 2 for each increase in x, starting from y=3.
Explanation:The function which has a range of y < 3 is y=-(2)x +3. This is an example of a linear function where the slope is negative and the y-intercept is 3. This means that the y-values (the range) will always be less than 3. This is because the value of y will decrease by 2 for every increase in x, starting from y=3. For the other functions, the range of y-values is not consistently less than 3.
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A experiment is a study designed so that neither the subjects nor the
experimenters know which subjects are in the treatment group and which
ones are in the control group.
O
A. placebo-effect
O
B. control
O
C. double-blind
O
D. biased
Answer:
C. double-blindStep-by-step explanation:
A double-blind study is a study where neither participants nor experimenters know which subjects are receiving the treatment.
This method is really useful to minimize possible biased conclusions about the experiment.
Therefore, the right answer is C, the situation described refers to a double-blind study.
A double-blind study is an experimental design in which both the subjects and experimenters are unaware of the treatment or control group assignments, thereby reducing bias and increasing the reliability of the study's findings.Therefore, the correct answer is option C.
An experiment where neither the subjects nor the experimenters know which subjects are in the treatment or control group is best described as a double-blind study.
This type of research design is crucial to prevent biases from affecting the outcome of clinical trials or other medical studies. In a double-blind study, both the participants and researchers are 'blind' to the assignments, thereby reducing the risk of placebo effects or experimenter bias influencing the results.
Experiments in the field of medicine often use this design to test the efficacy of new drugs, treatments, or interventions in the most unbiased way possible.
A control group that receives a placebo is essential in these experiments to compare the actual efficacy of the experimental treatment against no treatment or a standard treatment.
Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. |8x-4| ≤ 12
[tex]|8x-4|\leq12\\4|2x-1|\leq12\\|2x-1|\leq3\\2x-1\leq3 \wedge 2x-1\geq-3\\2x\leq 4 \wedge 2x\geq-2\\x\leq 2 \wedge x\geq-1\\x\in \langle -1,2\rangle[/tex]
The solution set of the inequality |8x-4| ≤ 12 is [-1, 2]. The solution was found by breaking down the absolute value into two separate inequalities and solving them.
Explanation:To solve the inequality |8x-4| ≤ 12, we use the property that |a| ≤ b is equivalent to -b ≤ a ≤ b. So, the inequality can be rewritten as -12 ≤ 8x-4 ≤ 12. We then solve these two inequalities separately.
For -12 ≤ 8x-4, first add 4 to both sides to get -8 ≤ 8x, then divide by 8 on both sides to get x ≥ -1.
For 8x-4 ≤ 12, add 4 to both sides to get 8x ≤ 16, and then divide by 8 on both sides to get x ≤ 2.
Since x has to satisfy both these inequalities, the solution set is x ≥ -1 and x ≤ 2. In interval notation, this is represented as [-1, 2].
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Mr hassan opened an account with Rs 45,687. He deposits Rs 5800 in the first month and withdraws Rs6981 in the second month .How much money is left in his account ? If he withdraws Rs 250 again ,how much is left now?
Answer:
44506
Step-by-step explanation:
458687+5800=51487
51487-6981=44506
-5=6m-1 solve for m
Answer:
m= -2/3 or -0.6
Step-by-step explanation:
6m-1= -5+1
6m= -4/-6
m= - 2/3 or -0.6
Answer:
m = -2/3
Step-by-step explanation:
-5 = 6m-1
Rewrite
6m - 1 = -5
Add 1 to both sides
6m = -4
Divide both sides by 6
m = -4/6
Simplifying
m = -2/3
What is the approximate area of the circle shown below? 17.5 in
A.962 m2
B.55 m2
C. 110 m2
D. 3848 m2
Answer:
No, the answer is actually a) 962
Step-by-step explanation:
A movie rental kiosk has the following options to select from.
Genre: action, romance, comedy, horror, drama
Duration: less than 90 minutes, 90 minutes120 minutes, more than 120 minutes
If employees restock the kiosk by randomly adding movies into it, what is the probability that the next movie added is an action movie that is longer than 120 minutes?
Answer:
1/20
Step-by-step explanation:
To calculate how many potential combinations of genre and duration, we multiply the number of options in each category.
5 genres * 4 durations = 20 combinations
So for each film placed, there is a 1 in 20 chance that it will be a specific combination.
The probability that the next movie added is an action movie that is longer than 120 minutes is 1/20.
To calculate the probability that the next movie added is an action movie that is longer than 120 minutes, we need to make some assumptions, as the exact numbers of each category are not provided.
If we assume that movies are equally distributed among the different genres and durations, and there are 5 genres and 3 durations, we can conduct a probability calculation.
To calculate the probability that the next movie is an action movie longer than 120 minutes:
Calculate the probability of choosing an action movie, with 5 genres,
the probability is 1/5.
Calculate the probability of the movie being longer than 120 minutes, with 4 durations,
the probability is 1/4.
Multiply these two probabilities to get the combined probability
1/5 × 1/4 = 1/20 or 5%
Volume of Model Options: +,×,÷,-
Option for Volume of Green Model In Model 2: 3, 12, 16, 60