The probability that they would spell TRAINS is 1/720.
Probability:
Probability refers the fraction of favorable event by the total number of event.
Given,
A bag contains one tile for each letter of the word TRAINS.
Here we need to find If we selected a permutation of these letters at random, what is the probability that they would spell TRAINS.
We know that,
There are 6 letters in the word and the number of arrangements is the permutation of 6 taken 6 at a time.
So, it is written in permutations as,
=> 6! = 720.
The total number of possible outcomes is 720 and there is only one favorable outcome which is TRAINS.
Therefore, the probability is written based on the formula as,
=> 1/720.
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mr mechoui is raising sheep. He has approximately 800 before going to bed he counts them by 10 by 12 and by 15 each time he finds the exact number. how many sheep does he have exactly ?
Paris is preparing for the 2024 Olympics. Their newly built single-depth olympic size swimming pool (50m by 25m by 2m) needs to be filled up. If the water bill is equivalent to $1 per 1000 gallons, roughly how many dollars will it cost to fill up the pool?
There will be 660.425 dollars cost to fill up the pool.
The newly built single-depth olympic size swimming pool (50m by 25m by 2m) needs to be filled up.
Here,
Length of swimming pool = 50m
Width of swimming pool = 25m
Depth of swimming pool = 2m
What is the volume of the cuboid?The volume of a cuboid is equal to the product of the length, width, and height of a cuboid.
The volume of a cuboid is length × breadth× height
As it is 3D geometry
The volume will be L×W×H i.e. 50×25×2 = 2500 m³
Since one cubic meter is equal to 264.172052 gallons,
So 2500 m³ = 264.17 × 2500 = 660425 gallons
If the water bill is equivalent to $1 per 1000 gallons
So 660425/1000 = 660.425
Hence, there will be 660.425 dollars cost to fill up the pool.
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Evaluate f(-3) for
f(x) = 3x + 6
Question 1 options:
-3
10
0
30
Answer:
The answer is -3
Step-by-step explanation:
f(-3)=3(-3)+6
f(-3)=-9+6
f(-3)=-3
Answer:the answer is -3, the first option (top to bottom)
Step-by-step explanation:
Find f(-3) as shown below
the answer is -3, the first option (top to bottom).
What is the length of the hypotenuse of a 45°-45°-90° triangle if the leg length is 6 centimeters?
The length of the hypotenuse of a 45°-45°- 90° triangle with a leg length of 6 centimeters is 8.49 approximately.
To find the hypotenuse of 45°-45°-90° triangle:
The formula to calculate the hypotenuse of 45°-45°-90° triangle is to multiply the length of the leg by [tex]\sqrt{2}[/tex].
How to find the length of the hypotenuse?
The length of the two legs of 45°-45°-90° triangle is equal.
Then the length of its hypotenuse will be calculated by multiplying the length of the leg and [tex]\sqrt{2}[/tex] .
Since the length of the leg is 6 centimeters,
Then its hypotenuse will be:
h = 6 × [tex]\sqrt{2}[/tex]
h = 8.485
h ≈ 8.49
So, the length of the hypotenuse will be 8.49.
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I need help please I don’t get it
Answer:
4 or 1
Step-by-step explanation:
100%
u got this hope it helps
The table shows the race time for Jon, who competed in three different youth triathlons.
A 4-column table with 4 rows titled Jon's Youth triathlon results. Column 1 is labeled Month with entries May, June, August. Column 2 is labeled Swim times (minutes) with entries 10.06, 9.5, 8.25. Column 3 is labeled Bike times (minutes) With entries 15.05, 13.0, 12.75. Column 4 is labeled Run times (minutes) with entries 24.25, 23.7, 22.01.
What is Jon’s total time for the June triathlon?
9 . 5
1 3 . 0
+ 2 3 . 7
Adding the June amounts from the given table, his total time is of 46.2 minutes.
What is his June's total time?The times for the month of June are given by the second row, hence:
Swim: 9.5 minutes.Bike: 13 minutes.Run times: 23.7 minutes.Hence the total time is given as follows:
9.5 + 13 + 23.7 = 46.2 minutes.
His total time is of 46.2 minutes.
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Answer: 46.2 minutes.
Step-by-step explanation:
NEED HELP ASAP! will rate 5 stars!!
A or D but i reckon A
Please solve this! Show steps too, please.
Answer:
y=2x-7
Step-by-step explanation:
[tex]2x-y=6 \\ \\ -2x+y=-6 \\ \\ y=2x-6[/tex]
Parallel lines have the same slope, so we want the line with a slope of 2 through (3, -1).
This line is y=2x-7.
Membership at the Lose for Less Gym requires new members to pay an
enrollment fee of $79.95 and purchase a key card for $19.95, in addition to
the regular monthly fee of $24.95.
Write an equation that represents the cost C for membership for m months.
What is the cost of a 2-year membership?
$1,157.55
$698.70
$678.75
$2,422.55
The equation that represents the cost C for membership for m months is:99.90+24.95m
The cost of a 2-year membership is $698.70
What makes up the total cost for membership for m months?
The fact that each member has to pay an enrollment fee and purchase key card for $79.95 and $19.95 respectively, means that the total fixed charge which is sum of both amounts is computed as shown below:
fixed charge=$79.95+$19.95
fixed charge=$99.90
variable cost per month=$24.95
total variable cost of m months=24.95m
C=99.90+24.95m
m=24(24 months=2 years)
cost of a 2-year membership=99.90+(24.95*24)
cost of a 2-year membership=$698.70
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Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.
If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q →
The true statements are
If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → qHow to determine the true statement?The original statement is given as:
If a number is negative, the additive inverse is positive
This can be represented as
If p, then q
i.e. if p → q
So, (a) is correct
For the inverse, we simply negate the hypothesis and the conclusion
i.e. if ¬p → ¬q ----(b) is correct
For the converse, we simply switch the hypothesis and the conclusion
i.e. if q → p ----(e) is correct
Hence, the true statements are (a), (b) and (e)
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13. A model rocket is fired vertically into the air at 250 ft/s. The expression -16t² + 250t gives the rocket's
height after t seconds. Factor this expression.
Answer: X+7=19 what is x
Step-by-step explanation:
Please help me with this.
Step-by-step explanation:
a)
high positive x (x going to +infinity) would create high positive y (also +infinity).
while high negative x (x going to -infinity) would create high negative y (also -infinity), x⁵ with its odd exponent is negative for negative x and positive for positive x.
the graph is showing just the opposite behavior.
so, it cannot be the right graph.
b)
the degree of the polynomial is the highest exponent of the input variable x. in our case : 5
a polynomial of degree n must have n zeros (or roots).
in our case we need 5 zeros. but there are only 3. no matter how we shift it up or down, the x-axis will not intercept it more than 3 times.
so it cannot be the right graph.
Find the percent change. Andy's bank account went from $99 to $70.
The percentage of $99 to $70 is -29.29.The percentage change of $99 to $70 is decreases.
How to find the percentage change of Andy's bank account?given that
the Andy's bank account went from $99 to $70.
The previous value is $99.
The new value is $70.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is generally represents by the percent sign, "%."
The most reliable indicator of percent change is the percent of growth or decrease. Calculations are frequently used to determine how much something has changed,
so the
change = original - new = $99 - $70 = -29
[tex]percentage = \frac{ - 29}{99} \times 100[/tex]
percentage = -29.29.
Hence,The percentage change of $99 to $70 is decreases.
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Given the following linear function, determine the slope of a line perpendicular to f(x) : f(x)=2/7x - 9
Answer:
f(x):f(x)=2/7x-9
Step-by-step explanation:
If it is wrong than i am sorry
Why do you think that it is important to learn about points, lines, and planes?
Points lines and plane together are the undefined teerms that provide the base for geometry . the definition must be a word whose meaning is accepted as intiutively clear as that meaning is accepted without definition this words are called undefined terms . Although these terms are not defined in a broad way it is used for defining other terms but a small description is needed .
POINTS is the most fundamental object in geometry just like cell is the basic unit of life . A point just looks like a dot and is named by a variable the objecive of the point is to represent a position only .It has zero size .
LINES A straight line can be a medium connecting a set of infinetly many points . it extends infinitely in opposite direction . It has infinte lenght , no widht , no height .The symbol ↔ denotes that line , a line can also be denoted with a smaller letter .
PLANES It is considered as a set of infinite points joining to form a flat surface extending in all directions infinetly it has undefined lenght widht and no height . A single capital letter is used to denote a plane .
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Given g(x) = -x − 3, find g(-3).
Answer:
0
Step-by-step explanation:
g(-3) = -(-3)-3
!!!!!!!URGENT PLEASE!!!!!!!!!
The area of the given sector is 98.2 sq. units.
What is area of a sector?The area of a sector is the space inside the section of the circle created by two radii and an arc.
The area of a sector is a fraction of the area of the entire circle.
Mathematically, the area of a sector is given as;
A = θ/360 (πr²)
where;
r is the radius of the circleθ is the angle subtended by the sectorThe area of the given sector is calculated as follows;
In the given diagram, θ = 50⁰, r = ST = UT = 15 units
A = (50/360) x (π x 15²)
A = 98.2 sq. units
Thus, the area of the given sector is 98.2 sq. units.
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COORDINATE GEOMETRY Find the distance from P to l .Line l contains points (0,-2) and (1,3) . Point P has coordinates (-4,4) .
According to the given statement the perpendicular distance form the point (-4,4) is 66.3.
What Exactly Is Coordinate Geometry?Coordinate Geometry can be used to define points in space. The primary axis labeled a x- and y-axes is defined first, and then the points were measured and labelled in relation to these points. Furthermore, numerous geometric forms such as a line, curve, circle, ellipse, and hyperbola can be plotted inside the coordinate axes and their attributes studied.
According to the given data:the equation for line ℓ.
Begin by finding the slope of the line through the given points,(0,-2) and (1,3):
m = (Y₂ - Y₁)/(x₂ - x₁)
= (3 - (-2))/(1 - 0)
= 5/1
= 5
The equation of the line using point (1,3) on the line:
Y - Y₁ = m(x - x₁)
putting value we get: (m = 5)
Y - (-2) = 5(x - 1)
Y + 2 = 5x - 5
Y = 5x - 3
The equation of the line w perpendicular to line ℓ through P(-4,4).
The slop of line l is 5. Write the equation of the line using point P(-4,4) on the line.
Y - Y₁ = m(x - x₁)
Y - 4 = 5(x - (-4))
Y - 4 = 5x + 4
Y = 5x + 8
Solve the system of equations to determine the point of intersection. Subtract both sides of (1) and (2) to eliminate y.
5x + 8 = 5x - 3
5x + 8 - 5x + 3 = 0
x = 11
putting the value of x to find y:
Y = 5x + 8
Y = 62
Applying the formula to find the distance of a points:'
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
d = √((11 - 4 )² + (62 + 4)²)
d = √(4405)
d = 66.3
According to the given statement the perpendicular distance form the point (-4,4) is 66.3.
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The price of a DVD is $6.5. It increase by 10% then another 30%
Use a multiplier and do this in only multiplying 2 times
Thanks for helping
Answer:
$6.5*1.1*1.3 = $9.30GivenInitial price = $6.5First increase = 10%Second increase = 30%SolutionPrice after first increase:
6.5 + 10% = 6.5 + 6.5*10/100 = 6.5*(1 + 0.1) = 6.5*1.1 =7.15Price after second increase:
7.15 + 30% = 7.15 + 7.15*30/100 = 7.15(1 + 0.3) = 7.15*1.03 = 9.30 (rounded to the nearest cent)The two steps above can be combined as:
$6.5*1.1*1.3 = $9.30=) Let d be the distance the car has traveled
and lett be the time it has traveled, in
hours, set up a proportion relating d and t
and solve it for the variable d.
Answer:
guy yunby
Step-by-step explanation:
Huh uu.
4 in.
4 in.
What is the volume of this container?
-2.45 as a fraction form
A company makes desks, coffee tables, and corner tables. Each item uses units of wood, fabric, and stuffing.
Desks use 50 units of wood, 40 units of fabric, and 45 units of stuffing.
Coffee tables use 30 units of wood, 15 units of fabric, and 10 units of stuffing.
Corner tables use 5 units of wood, 5 units of fabric, and 5 units of stuffing.
There are 690 units of wood, 620 units of fabric, and 510 units of stuffing available to make the items.
Which three equations are needed to find the largest number of x desks, y coffee tables, and z corner tables that can be made?
Drag and drop the correct equations into the box.
Answer: 50x+30y+5z= 690
40x+15y+5z= 620
45x+10y+5z= 510
Step-by-step explanation: The first equation to find units of wood, the second is for the units of fabric, and the third is for the units of stuffing.
Factor out of the coefficent of the variables term
The expression 15/4+3/8xfactored is what?
Answer:
your answer is 33/8
Step-by-step explanation:
Answer:
fgehjenrntktkktmttbtbvtvt
Describe a sequence of translations, rotations, and
reflections that takes polygon P to polygon Q.
Use the digital tracing paper if it helps you with your
thinking?
The polygon P is translated and rotated respectively to obtain polygon Q.
A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.
ABCD and EFGH are polygons P and Q respectively.
We will briefly outline each step required to convert each Polygon P into its corresponding Polygon Q in this question.
In this case, there is translation along a vector between point A and point H.
Then, when the polygon Q is rotated around point H.
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=2×10⁸+10⁷/ 7x10⁴x10³
Answer:
answer is =3
Step-by-step explanation:
2*100000000+10000000/7*10000*1000
=210000000/70000000
=3
Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity? negative forty nine over 8 times d minus one tenth forty nine over eight times d minus one tenth negative three eighths times d minus one and three tenths negative three eighths times d minus one tenth
Answer:
Step-by-step explanatio -3/8d-1 3/8
The expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or (-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.
(-3 1/4d + 3/5) - (2 7/8d + 7/10)
⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10
⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10
⇒ (-13/4 - 23/8)d + 6/10 - 7/10
⇒ (-26/8 - 23/8)d - 1/10
⇒ -49/8 d - 1/10
Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
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PLS HELP ME WITH THIS I BEG?!!!!
Answer: m<JKM=70 degrees
Step-by-step explanation:
JKM=JKL+LKM
JKM=42+28
JKM=70
m<JKM=70 degrees
uppose a person who is 81 inches tall casts a shadow that is 94.5 inches long. Another person in the same place casts a shadow that is 84 inches long. Determine the height of the second person.
The height of the second person is 72 inches .
The quantitative relation is outlined because the comparison of 2 quantities of constant units that indicates what proportion} of 1 amount is gift within the alternative quantity .Let the height of the second person be "x"
We need to line up a relationship between 2 sets of numbers.
We are told that the connection could be a direct proportion as it is given that "a person 81 inches tall casts a shadow 94.5 inches long". therefore we will setup a magnitude relation that relates those 2 which is given by 81/94.5.
Since 81 and 94.5 are unit each in inches and that we will categorical the peak of the tree within the same units, feet, because the shadow of the tree, we do not got to worry concerning conversion of units.
81 is to 94.5 as x is to 84 is given by
81/94.5 = x / 84
0.8571 × 84 = x
72 = x
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PLEASE HELP !!!!!!!!!!
ASAP THIS IS IMPORTANT
The size of the segment in the scale drawing using a drawing scale factor of 5 meters to one box is 30 meters.
What are scale factors?A scale factor is a value with which the dimensions of an original two dimensional geometric figure or a three dimensional solid can be multiplied to obtain an image.
Scale factors are used in maps and drawings to represent a large geographic area, or a life sized object on paper, such that the relative sizes of the sides of the original figure are maintained
Solution;
Using the height of the arc in the drawing as the reference, we have;
50 m is equivalent to 10 boxes
Therefore;
The length of one box = (50 m)/10 = 5 m
The scale of the drawing is therefore;
One box = 5 metersThe length of the given segment = 6 box length
The length, L, of the segment is too therefore;
L = 6 box × 5 m/box = 30 m
The length of the segment is L = 30 meters
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