In a movie theater, 2 boys and 3 girls are randomly seated together in a row. What is the probability that the 2 boys are seated next to each other
Answer: 2/5
Step-by-step explanation: 2/5 is the answer bozo
The probability that the 2 boys are seated next to each other will be P(A) = 0.16.
What is a probability? Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is that in a movie theater, 2 boys and 3 girls are randomly seated together in a row.
The total number of ways in which all of them can be seated are -
n{S} = (2 + 3) x (2 + 3) = 5 x 5 = 25
n{S} = 25
The total number of ways in which two boys can be seated together are -
n{A} = 4
So, the probability that the 2 boys are seated next to each other will be -
P(A) = n(A)/n(S)
P(A) = 4/25
P(A) = 0.16
Therefore, the probability that the 2 boys are seated next to each other will be P(A) = 0.16.
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The least expensive type of life insurance is _____.
Answer:
Term
Step-by-step explanation:
When you consider the amount of coverage you can get for your premium dollars, term life insurance tends to be the least expensive option for life insurance.
Answer:
term
Step-by-step explanation:
х
F
E
53°
6.3
D
Help me please
Answer:
x ≈ 3.8
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos53° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EF}{DF}[/tex] = [tex]\frac{x}{6.3}[/tex] ( multiply both sides by 6.3 )
6.3 × cos53° = x , then
x ≈ 3.8 ( to the nearest tenth )
All of the points in the picture are on the same line.
YA
(6. 10)
(a, 8)
(4.b)
12.23
Find the slope of the line.
Slope is change in y / change in x
Using two of the points on the line:
Slope = ( 10-2) /( 6-2)
Slope = 8/4
Slope = 2
Answer: slope = 2
EXPLAIN!! & I'LL GIVE BRAINLY!!!
Solve the following quadratic function by utilizing the square root method.
y=36-x^2
Answer:
x = ± 6
Step-by-step explanation:
To solve the equation let y = 0 , that is
0 = 36 - x² ( add x² to both sides )
x² = 36 ( take square root of both sides )
x = ± [tex]\sqrt{36}[/tex] = ± 6
That is x = - 6 or x = 6
A line is perpendicular to the line y=4x-3 and has y-intercept (0,-2). Determine the slope of the line.
Answer:
it’s m= -1/4
Step-by-step explanation:
it’s the slope
The slope of the line is 4.
\What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.2The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
A line is perpendicular to the line y = 4x - 3.
y = 4x - 3 is in the form of y = mx + c
So,
m = 4.
Now,
The line has a y-intercept at (0,-2).
So,
c = -2
Now,
The equation of a line is given by:
y = mx + c
y = 4x - 2
Thus,
Slope is 4.
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what is 2965 x 10^8 in standerd form
Answer:
296500000
Step-by-step explanation:
2.965*100000000=
296500000
*if this wasn't scientific notation then the answer is 296500000000
Complete the missing parts of the table for the following function. y = 4* yl X -2 -1 0 1 2 3 1 1 ] 16 []
Answer:
1/16, 1/4, 1, 4, 16, 64.
Step-by-step explanation:
Write an equation of the line passing through the given points. (4.-31) and (-2,5)
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for slope a :
x changes by -6 (from 4 to -2)
y changes by +36 (from -31 to 5)
so, the slope is +36/-6 = -6
and the equation looks now like this
y = -6x + b
let's use the second point
5 = -6×-2 + b = 12 + b
-7 = b
the full equation is
y = -6x - 7
Please make an explanation, I haven’t learned much on this before
Answer:
Triangle: 4
Trapezoid: 3.8
Step-by-step explanation:
All you need to find is what of the three or four adds to the perimeter
3+5 is 8
So 12-8 is 4
So the ? is 4
8.3 plus 3.8 plus 8.3 is 20.4
24.2-20.4 is 3.8
Hope this helps!
5 = 5(y - 2)
A. -3
B. 3
C. -1
D. 1
Corey spends 16% of his salary on food each week. If his salary is $800 per week, how much does Corey spend on food each week?
The amount Corey spends on food is $128.
What are percentages?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. It is a measure of frequency.
What is the amount spent on food?Amount spent on food = 16% x $800 = $128
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what is the slope of y=5x-1?
Answer:
5
Step-by-step explanation:
y = mx + b
-----------------
m = slope
b = y-int
------------------
m = 5 = slope
Answer:
m = 5
Step-by-step explanation:
hope this helps
GUYS PLEASE HELP ME OMG EVERYONE KEEPS SKIPPING:(((
please i need to finish!!
TYSM TO WHOEVER HELPED!
9. John bought a case of 12 boxes of Macaroni and Cheese for $11.99. When he got home, he noticed that the same case of Macaroni and Cheese was on sale at a different location for $10.49. How much would he have saved per box of Macaroni had he purchased it at the other location? Show work.
Answer:
12.5 cents per box
Step-by-step explanation:
First, find the price difference of the cases.
11.99 - 10.49 = $1.50
We want to find the money saved per box so divide $1.50 by 12.
1.50/12 = 12.5 cents
please help i can't understand this
9514 1404 393
Answer:
left-to-right
subtract 2ydistribute 5add 2ydivide by 25Step-by-step explanation:
[There's a lot to read here. If you read it, maybe you'll have a better understanding.]
This is asking you the first step required to solve each of the equations.
The general process of solving an equation involves performing operations that result in the variable of interest being on one side of the equal sign (by itself), and everything else being on the other side. When variable and constant terms are mixed, we generally want to remove the variable term.
The underlying rule for all of this is "whatever is done to one side of the equation must also be done to the other side." The exceptions are simplification and substitution.
"Inverse" operations are of use in this process. That is why you are taught about the "additive inverse" (negative) of a number, and the "multiplicative inverse" (reciprocal) of a number. Adding the additive inverse results in the additive identity element (0). Similarly, multiplying by the multiplicative inverse results in the multiplicative identity element (1). Adding 0 or multiplying by 1 leaves only the original value.
__
With this in mind, we can look at the given equations to see what is needed to solve them.
2 +2y = y
We see that the left side of the equation has both a constant term and a variable term. To remove the variable term we add its additive inverse: (-2y). Adding a negative value is the same as subtracting a positive value. That is, we can describe what we want to do as "subtract 2y from both sides".
When we do that, the result is ...
2 +2y -2y = y -2y . . . . . here, we show the subtraction
2 = -y . . . . . . . . . . . . . and this is the result of simplifying that.
Notice the y term is now on one side of the equal sign and the constant is on the other side. We are one step closer to the solution, which is the whole point.
__
5(y -4) = 2y
This equation has parentheses. It often works well as a first step to eliminate the parentheses, generally using the distributive property. That is, we "distribute 5".
When we do that, the result is ...
5(y) -5(4) = 2y . . . . . . . . here, we show the distribution
5y -20 = 2y . . . . . . . and this is the result of simplifying that
This puts us one step closer to the solution, which is the whole point.
__
5y = 10 -2y
Here, the unwanted variable term is -2y on the right side of the equation. To remove it, we add 2y to both sides.
When we do that, the result is ...
5y +2y = 10 -2y +2y . . . . . . . showing the addition of 2y
7y = 10 . . . . . . . . . . . . . . . simplified
This puts us one step closer to the solution.
__
5 = 25y
This equation has the variable term and the constant term already separated. However, there is a coefficient on the variable term that is not equal to 1. We want to make that coefficient be 1. To do that, we multiply it by its multiplicative inverse: 1/25. That is, we divide both sides by 25.
When we do that, the result is ...
5/25 = 25y/25 . . . . . . showing division by 25
1/5 = y . . . . . . . . . simplified (and the fraction reduced)
This gives us the solution. There are no more steps required.
Are the ratios 10:5 and 4:2 equivalent
Answer:
Yes
Step-by-step explanation:
10/5=2
4/2=2
The ratios are equal
Answer: Yes
Step-by-step explanation:
10:5 and 4:2 round to 2:1 respectively, which are equivalent.
Write a quadratic equation in standard form with integral coefficients given
x = 4 is a solution with multiplicity of 2.
Answer:
y=(x-4)^2=x^2-8x+16
Step-by-step explanation:
Since we know that x=4 is a solution with multiplicity 2. Therefore x=4 will occur as a factor twice in the quadratic equation.
So
y=(x-4)^2
[tex]y=(x-4)^2=x^2-8x+16[/tex]
What explicit equation represents the relationship between X and Y in the graph below
Identify the x-intercept of the following linear equation written in standard form.
-8x - 4y = 8
Answer:
wwwwwwwwwwwwwwwwwwww
These solids all have the same volume. Which has the least surface area?
The ''Solid C'' shows the least surface area.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
These solids all have the same volume.
Now, All the shapes are shown in figure.
Hence, We know that;
In all shapes solid C shows the shape of sphere which have least surface area.
Thus, The ''Solid C'' shows the least surface area.
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Four friends played a game. At the end of the game, their scores were -8, -2, 1, and -3. What is the lowest score?
Answer:
the lowest scoreis -3
Step-by-step explanation:
the lowest score is -3
what is the volume of a triangular prisim that is 75 centimeters long and thhat has a base with an area of 30 square centimeters
Answer:
2250 cubic centimeters
Step-by-step explanation:
Area of the end shape × the height/depth of the prism
75x30 = 2250
Answer:
150cm^2
Step-by-step explanation:
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the FAST PLS
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
To find the slope of a graph, use rise/run or change of y over change of x.
Just from looking at the graph, the slope has to be positive as the line is going up!
Start from the point that intersects with the line and graph. Then find another point that also intersects with the line and graph as well.
So for this graph, I am using the two points to the left.
I start from the bottom point and go up 1. Then I go to the right 4 times until I get to the second point.
Thus, the slope is 1/4!
Hope this helps :D
The price of Stock A at 9 A.M. was $13.77. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $14.52. It begins to decrease at the rate of $0.08 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:2.7
Step-by-step explanation:
2+4y=y−7
solve for y
Answer:
y= -3
Step-by-step explanation:
2+4y= y-7
2+3y= -7
3y= -9
y= -3
Answer:
-3Step-by-step explanation:
Rearrange Terms.
2 + 4y = y - 74y + 2 = y - 7Subtract 2 from both sides of the equation.
4y + 2 = y - 74y + 2 - 2 = y - 7 - 2Simplify and subtract the numbers.
4y = y - 9Solution.
-3I hope this helps!!
-GXLDIE <3
you get 17 of 22 questions correct on a math test
what is your percent of correct answers?
the lowest score to pass is 70% did you pass?
what is the minimum number of correct answers need in order to pass the test?
(pls try to explain the answer)
Answer:
77%, yes pass, at least 16
Step-by-step explanation:
so 17/22 is 0.77, convert to percentage is 77%
77% is above 70% so you passed
if you guess and check, 15/22 is 68%. since thats just a bit lower than 70%, u need at least 16 questions to pass
yw in advance :))
Answer:
a) 77% b) Yes c) 16
Step-by-step explanation:
17 out of 22 questions correct is set up as
17/22= .7727
round this number down and take it from decimal form to percentage.
.77 x 100 = 77%
You scored a 77% and you did score enough to pass.
The minimum number correct to still be able to pass is 16.
16/22 = .7273 = 73%
What is the slope of the line y=3/5x+7
Show your work
Answer:
3
Step-by-step explanation:
Which equation matchs the graph
Answer:
I'm sorry if I'm wrong but I believe it's C.
Step-by-step explanation:
d. y = -1/3x + 3
Because it interesting y axes in +3
Consider the procedure used below to solve the given equation.
Given:
4
(
2
x
+
5
)
−
(
3
x
−
4
)
=
15
Step 1:
8
x
+
5
−
3
x
+
4
=
24
Step 2:
5
x
+
9
=
24
Step 3:
5
x
=
24
−
9
Step 4:
−
5
x
=
15
Step 5:
−
5
x
−
5
=
15
−
5
Step 6:
x
=
−
3
Which statement about the solution of the given equation is true?
Answer:
(2x-³y⁴)³(x³+y⁰)÷(4xy-²)³
Its 2.3 per year and the question says 2 years ago so 2.3×2
=4.6%
So,
210 000÷100×4.6
=9660
now
9660+210000
=219 660
HOPE ITS HELPS GIVE BRAINLIEST
i need help please..
Answer:
2
Step-by-step explanation: