please help me!!! i need to pass this assignment! Find P(4) and P(2).
Alright, so they want you to find the probability of landing on 4 or 2.
There are 8 numbers total so that will be our denominator x/8
There are two outcomes we are finding the probability, that gives us 2/8
We must simplify the fraction into its lowest form.
2/8=1/4
Your answer would be 1/4
A building in a city has a rectangular base. The length of the base measures 60ft less than three times the width. The perimeter of the base is 840ft. What are the dimensions for this base?
The width of the base is __ft
Answer:
The width of the base is 120ft. The length of the base is 60ft less than three times the width [1][2], so the length of the base is 180ft. Therefore, the dimensions of the base are 120ft x 180ft.
I need help
Please
Step-by-step explanation:
0.3333333333.... = 1/3
0.2222222222... = 1/3 / 3 × 2 = 2/9
so, we now know all the involved fractions.
(1/3 - 1)² - sqrt(1 - 3/2/2) + 2/9
(-2/3)² - sqrt (1 - 3/4) + 2/9
4/9 - sqrt(1/4) + 2/9
6/9 - 1/2
2/3 - 1/2
to calculate that we need to bring both fractions to the same denominator (6).
2/2 × 2/3 - 3/3 × 1/2 = 4/6 - 3/6 = 1/6
so, the complete result is 1/6.
−5b + 5 ≤ −75 i don't understand this and i have to put it on a number line to
THE PROBABILITY OF HOTTER DAY IS 55% AND OF COLDER IS 25%. WHAT IS THE PROBABILITY OF NOT BE THE SAME TEMPERATURE?
Answer:
The probability of not being the same temperature would be 100% - (55% + 25%) = 20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
so the probability of whole is 100%
which means the un same day is 55%+25%=80%
so we just use 100% to minus 80%=20%
i hope this helps
Ind an equation of the line that atifie the given condition. Through (−1, −2); perpendicular to the line 2x 5y 5 = 0
The equation of the line perpendicular to the line 2x + 5y + 5 = 0 is 5x - 2y + 1 = 0.
As per the given data the given equation is 2x + 5y + 5 = 0
Here we have to determine the equation of the line perpendicular to the line 2x + 5y + 5 = 0
Firstly write the equation in y = mx + c format.
2x + 5y + 5 = 0
5y = -2x - 5
y = [tex]$\frac{-2}{5}[/tex]x - 1
[tex]m_{1}=\frac{-2}{5}[/tex]
Condition for two perpendicular lines.
[tex]m_{1} \times m_{2}[/tex] = -1
[tex]$\frac{-2}{5} m_{2} = -1[/tex]
[tex]$m_{2} = \frac{5}{2}[/tex]
Now substitute the slope value in the equation y = mx + c
We get:
y = [tex]$(\frac{5}{2} )[/tex]x + c
2y = 5x + 2c
2y - 5x = 2c
Since the line passes through (-1, -2)
Hence:
2(-2) - 5(-1) = 2c
-4 + 5 = 2c
2c = 1
c = [tex]$\frac{1}{2}[/tex]
Now substitute the value of c in 2y - 5x = 2c
2y - 5x = 2[tex]$(\frac{1}{2} )[/tex]
2y - 5x = 1
(0r)
5x - 2y + 1 = 0
Therefore the equation is 5x - 2y + 1 = 0.
For more questions on perpendicular lines
https://brainly.com/question/10059698
#SPJ4
which of the answer choices is a correct grouping of the following trinomial? −10x2 13x 3
The correct grouping of the trinomial "-10x² + 13x + 3" is option 4, (-10x² + 0x) + (13x + 3).
To find the correct grouping, we need to factor out the greatest common factor from the first two terms, -10x² + 13x.
The greatest common factor of -10x² and 13x is -x². So, we can factor out -x² and get:
-x² * (10 - 13/x) + 3 = (-x² * 10) + (13/x - x²) + 3 = (-10x² + 7x) + (6x + 3)
Therefore, choice 3 is the correct grouping of the trinomial -10x² + 13x + 3.
A trinomial is a mathematical expression consisting of three terms. It is a polynomial of degree three and has the general form ax³ + bx² + cx + d, where a, b, c, and d are constants and x is a variable.
Complete Question:
'which of the answer choices is a correct grouping of the following trinomial? −10x² 13x 3
1. (-10x² + 5x) - (6x + 3)
2.(-10x² + 2x) +(15x + 3)
3.(-10x² + 7x) +(20x + 3)
4.(-10x² + 0x) +(13x + 3)
5.(-10x² + 0x) - (x + 3)
To learn more about the trinomial, visit:
brainly.com/question/8985142
#SPJ4
solve 6x-9=51-4x please
Answer:
x = 6
Step-by-step explanation:
6x-9=51-4x
10x - 9 = 51
10x = 60
x = 6
Let's check
6(6) -9 = 51 -4(6)
36 - 9 = 51 - 24
27 = 27
So, x = 6 is the correct answer.
Three ferry services A,B and C leave from a same jetty at different intervals. Services A,B and C leaves the jetty once every 8 minutes, 12 minutes and 15 minutes respectively. If the ferries first leave together at 10:15 a.m, when will they next leave together again.
The time that the ferries will leave together next, given the time they leave the jetty would be 12 : 15 pm
How to find the time ?The ferries leave at intervals of 8 minutes, 12minutes, and 15 minutes. To find the time when they will all leave at the same time again, you need to find the lowest common multiple of 8, 12 and 15 as this would show the next time the ferries would be lined up together again.
The lowest common multiple of 8, 12 and 15 is 120 which in minutes is 2 hours.
The next time both ferries would leave together is:
= 10 : 15 + 2 hours
= 12 : 15 pm
Find out more on intervals at https://brainly.com/question/17114509
#SPJ1
is k=10/3 is dilated by a scale factor below, the dilation is a reduction or enlargement?
The scale factor of K = 10/3 represents enlargement.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the scale factor of K = 10/3.
For the scale factor of {K} > 1, the dilation is enlargement and for the scale factor of {K} < 1, the dilation is reduction.
Now -
10/3 > 1
So, it represents the enlargement.
Therefore, the scale factor of K = 10/3 represents enlargement.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ1
Solving Systems and Missing Angles
The solution to the system of equations is: D. (-4, -7).
How to Solve a System of Equations?To solve the system of equations, y = (3/2)x - 1 and y = 3x + 5, you can set the two equations equal to each other and solve for one of the variables. For example, setting the two equations equal to each other:
(3/2)x - 1 = 3x + 5
Then you can solve for x by isolating it on one side of the equation:
(3/2)x - 3x = 5 + 1
-5x/2 = 6
x = -4
Now that you know the value of x, you can substitute it back into one of the equations to find the value of y:
y = (3/2)(-4) - 1 = -6 - 1 = -7
So the solution to the system of equations is x = -4, y = -7.
The solution is: (-4, -7).
Learn more about system of equations on:
https://brainly.com/question/25976025
#SPJ1
What is the constant of proportionality in this proportional relationship?
X 2 2 1/2 3 3 1/2
y 5/2 25/8 15/4 35/8
1. 4/5
2. 5/4
3. 4
4. 5
Answer:
2. 5/4
Step-by-step explanation:
The constant of proportionality in this proportional relationship is the ratio of y to x for any given pair of values. To find it, we can divide the y value by the x value for one of the pairs. For example, using the first pair (x = 2, y = 5/2), we can divide 5/2 by 2 to get the constant of proportionality:
(5/2) / 2 = 5/4
The urface area of a cylinder i 24π m². The ditance around the bae of the cylinder i 3π meter and the diameter of a bae of the cylinder i 4 meter. What i the height of the cylinder? Enter your anwer, a a implified fraction, in the box
After solving, the height of the cylinder is 6 meters.
The surface area of a cylinder is 24π m².
The distance around the base of the cylinder is 3π meter.
The diameter of a base of the cylinder is 4 meter.
Now the radius of the cylinder = diameter/2
The radius of the cylinder = 4/2
The radius of the cylinder = 2 meter.
The formula of surface area of cylinder:
S = 2πrh
From the question:
2πrh = 24π
Now putting the value of r
2π × 2 × h = 24π
4πh = 24π
Divide by 4π on both side, we get
h = 6
To learn more about surface area of cylinder link is here
brainly.com/question/22074027
#SPJ4
The complete question is:
The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!!⚠️⚠️⚠️⚠️
When solving an equation, it is important to check for extraneous solutions.
Extraneous solutionsAn extraneous solution is a solution to a problem that does not satisfy the original equation.To check for extraneous solutions, we must first solve the equation.In this case, we have 3√(x-2)-4=20, to which we can add 4 to both sides and divide by 3, so that (x-2)=8.We can then cancel the rational exponent to get x-2= or x-2= x = or x = 10.Finally, we can add 2 to both sides to get x = 12.We must now check for extraneous solutions.To do this, we must make sure that 12 satisfies the original equation.Substituting 12 for x into the original equation, we get 3√(12-2)-4=20.This equation is true, which means that 12 is a valid solution to the problem and that there are no extraneous solutions.To learn more about extraneous solutions refer to:
https://brainly.com/question/2959656
#SPJ1
I NEED HELP ASAP
A circle has a radius of \blue{10}10start color #6495ed, 10, end color #6495ed. An arc in this circle has a central angle of 72^\circ72
∘
72, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
The arc length covered by the central angle equal to 72° is 12.56°
What are arc length?Arc length is the distance between two points along a section of a curve.
Given that, a circle with radius 10 units and a central angle equals 72°, we need to find the arc length covered by the central angle = 72°
We know that,
Arc length = 2π × radius × (θ / 360°), where θ is the central angle
Arc length = 2 × 3.14 × 10 × 72°/360°
= 12.56°
Hence, the arc length covered by the central angle equal 72° is 12.56°
Learn more arc length, click;
https://brainly.com/question/16403495
#SPJ1
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number
of the pattern and b is the number of blocks in each figure. How many blocks are needed to make
the 9th figure in the pattern? Enter your answer in the box.
The number of blocks needed to make the 9th figure in the pattern is 24.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number of the pattern and b is the number of blocks in each figure.
For the first figure, number of blocks = (2 × 1) + 6 = 8
For the 2nd figure, number of blocks = (2 × 2) + 6 = 10
This will go on.
For the 9th figure, number of blocks = (2 × 9) + 6 = 24
Hence there will be 24 blocks in the 9th figure.
Learn more about Equations here :
https://brainly.com/question/29657992
#SPJ1
Max is bisecting a segment. First, he places the compass on one endpoint and opens it to a width larger than half of the segment. Then, he swings an arc on either side of the segment. What is his next step?
Max's next step after swinging arcs on either side of the segment is to place the compass on the other endpoint and swing another arc that intersects the previous arcs.
After swinging arcs on either side of the segment, Max's next step is to place the compass on the other endpoint of the segment.
He needs to make sure the compass width remains the same as before.
Then, he swings another arc that intersects the previous arcs.
The point where the new arc intersects the segment is the midpoint of the segment.
By connecting this point with the endpoints of the segment, Max will have successfully bisected the segment.
Learn more about the bisecting of a segment here:
https://brainly.com/question/1580775
#SPJ2
A scale on a map shows that 3 centimeters represents 10 kilometers.
What number of centimeters on the map represents an actual distance of 25 kilometers?
Based on the information we can infer that 25 km is equivalent to 7.5 cm on the map.
How to find the relationship between centimeters and kilometers on the map?To find the relationship between centimeters and kilometers on the map we must take into account the following information:
3cm = 10km
According to the above, we must make a rule of three to find the equivalence of kilometers. Below is the procedure:
10km = 3cm25km = x25km * 3cm / 10km = 7.5cmAccording to the above, 7.5 centimeters would represent the 25 kilometers distance on the map.
Learn more about maps in: https://brainly.com/question/19130581
#SPJ1
A pyramid is composed of six isosceles triangles and a hexagonal base. Each isosceles triangle has a height of 6 inches and a base of 8 inches. The area of the hexagonal base is 166.3 square inches.
What is the surface area of the pyramid?
Enter your answer in the box.
The surface area of the pyramid is A = 386.24 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of hexagonal pyramid be represented as A
Surface area of hexagonal pyramid = Area of base + area of lateral surface
Area of the base = 166.3 inches²
Now , the Area of the lateral surface = 3a √ ( h² + ( 3a²/4 ) )
where a = 8 inches
h = 6 inches
Substituting the values in the equation , we get
Area of the lateral surface = ( 3 x 8 ) √ ( 36 + ( 3 x 64 / 4 ) )
On simplifying the equation , we get
Area of the lateral surface = 219.96 inches²
So , Surface area of hexagonal pyramid = Area of base + area of lateral surface
Surface area of hexagonal pyramid A = 166.3 inches² + 219.96 inches²
Surface area of hexagonal pyramid A = 386.24 inches²
Hence , the surface area of hexagonal pyramid is 386.24 inches²
To learn more about surface area of pyramid click :
https://brainly.com/question/15050758
#SPJ1
What’s the answer for this problem
Answer:
(x-4)2=16
Step-by-step explanation:
Tyesha is making a medium-length necklace. Write an expression that shows how much it will cost tyesha for the chain, pendant, and b beads that cost $1 each. Then find the total cost of the necklace if tyesha uses 30 beads
THE ANSWER IS 33$ BECAUSE YOU JUST ADD THE BEADS PLUS PENDANT PLUS CHAIN
Is it possible to have a triangle with angle 60°,70°,and 50°
Answer:
Yes, it is possible to have a triangle with angles 60°, 70°, and 50°. The sum of the angles must equal 180° in order for a triangle to be formed.
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
To create any possible triangle, all three angle measurements should add up to 180° and the exterior angle should also be equal to the sum of two interior opposite angles!
solve the equation by trial and error method
3x+5=11
Answer:
x = 2
Step-by-step explanation:
3x + 5 = 11
Let x = 1. Let's substitute the value of x into the equation to check if it's correct.
3(1) + 5 = 3 + 5
= 8
8 ≠ 11
x is not 1.
---
Let x = 3. Let's substitute the value of x into the equation to check if it's correct.
3(3) + 5 = 9 + 5
= 14
14 ≠ 11
x is not 3.
---
Let x = 2. Let's substitute the value of x into the equation to check if it's correct.
3(2) + 5 = 6 + 5
= 11
11 = 11 so you can see that the value of 2 for x satisfies the equation!
x = 2.
---
Multiply the factor and expre the following expreion in implified radical form. (36‾√)(22‾√)(415‾‾‾√)
The expression after multiplying the factors in the form is -573.21.
The provided expression is (-√36)(-√22)(-√415).
We have to multiply the factor and express in the radical form.
Let us solve this step by step and one by one,
(-√36) = -6
Now, for -√22,
-√22 = -4.69
Now, for -√415,
-√415 = -20.37
Now, we have to simply multiply these three values and that will be the radical form,
So,
(-√36)(-√22)(-√415) = -6 x -4.69 x -20.37
(-√36)(-√22)(-√415) = -573.21
So, the expression after simplification is -573.21.
To know more about expressions, visit,
https://brainly.com/question/1859113
#SPJ4
0.6 divided by 78
:)
Answer:
0.6 divided by 78 is 0.00769230769
or if you meant
78 divided by 0.6 it is 360
Step-by-step explanation:
Given right triangle ABCABC with altitude \overline{BD}
BD
drawn to hypotenuse \overline{AC}
AC
. If BD=2BD=2 and DC=1,DC=1, what is the length of \overline{AD}?
AD
?
The measure of the length AD will be 4cm.
What is are of triangle?
The area of a triangle is the region enclosed by its sides. The area of a triangle differs from one triangle to another depending on the length of the sides and the internal angles. Triangle areas are expressed using square measurements like m2, cm2, and in2. One right angle or two perpendicular sides are both acceptable for right triangles. They may also be known as orthogonal triangles, right-perpendicular triangles, or originally rectangular triangles. Trigonometry's foundation is formed by the relationship between the sides and other angles of a right triangle.
2 / 1= AD / 2
AD=4 cm
Hence The measure of the length AD will be 4cm.
Learn more about triangle, by the following link
brainly.com/question/17335144
#SPJ1
shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries. x 0 1 2 3 4 f(x) 10 ? 20 ? ? g(x) 10 ? 20 ? ?
The missing entries for f(x) are 20, 30, and 40, and the missing entries for g(x) are 40, 80, and 160.
The missing entries for f(x) can be found by knowing that f is a linear function and using the values given. A linear function has the form f(x) = ax + b, where a is the slope and b is the y-intercept. Since f(0) = 10 and f(1) = 20, we can use these two points to find a and b.
Putting x = 0 in the equation, we get:
f(0) = 10 = a(0) + b
Putting x = 1 in the equation, we get:
f(1) = 20 = a(1) + b
Solving these two equations simultaneously, we find:
a = 10
b = 0
So, the equation for f is:
f(x) = 10x + 0 = 10x
Using this equation, we can find the missing entries for f(x) in the table:
f(2) = 10x = 10(2) = 20
f(3) = 10x = 10(3) = 30
f(4) = 10x = 10(4) = 40
So the missing entries for f(x) are 20, 30, and 40.
To find the missing entries for g(x), we need to know the form of the exponential function g. A common form for exponential functions is g(x) = ab^x, where a is the y-intercept and b is the growth factor. Since g(0) = 10 and g(1) = 20, we can use these two points to find a and b.
Putting x = 0 in the equation, we get:
g(0) = 10 = a(1)^0 = a
So, a = 10.
Putting x = 1 in the equation, we get:
g(1) = 20 = 10b
Solving for b, we find:
b = 2
So, the equation for g is:
g(x) = 10(2^x)
Using this equation, we can find the missing entries for g(x) in the table:
g(2) = 10(2^2) = 10(4) = 40
g(3) = 10(2^3) = 10(8) = 80
g(4) = 10(2^4) = 10(16) = 160
So the missing entries for g(x) are 40, 80, and 160.
To know more about linear function, here
https://brainly.com/question/29634957
#SPJ4
--The given question is incomplete; the complete question is
"The table below shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries. x 0 1 2 3 4 f(x) 10 _ 20 _ _ g(x) 10 _ 20 _ _"--
Brandon take a rectangular piece of fabric and make a diagonal cut from one corner to the oppoite corner. The cut he make i 13 inche long and the width of the fabric i 5 inche. What i the fabric' length?
The length of the fabric which Brandon formed a rectangle, is 11 inches.
To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:
[tex]L^2 + 5^2 = 13^2[/tex]
where L is the length of the fabric.
Solving for L, we get:
[tex]L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.[/tex]
Learn more about the Pythagorean theorem here:
https://brainly.com/question/231802
#SPJ4
a base of a solid whose height is 7 yards is shown. find the volume of the solid in cubic yards
Volume of solid is 343 cubic yards.
What is volume?Volume is defined as the amount of space occupied by an object within the boundaries in the three dimensional space.
A base of a solid whose height is 7 yards is shown.
Let us consider the solid as cube.
Volume of cube = [tex]a^{3}[/tex] cubic units.
Here side, a =7 yards.
Volume ,V= [tex]7^{3}[/tex] = 343 cubic yards.
Hence, Volume of solid is 343 cubic yards.
Learn more about volume here:
https://brainly.com/question/27770332
#SPJ1
At 2.4×10^8 years old, the Nyasasaurus parringtoni may be the oldest known dinosaur that lived on Earth. How many millions of years old is it?
Answer:
240000000
Step-by-step explanation:
2.4x100000000=240000000