63273600 license plates can be created using either three uppercase English letters preceded by three digits or four uppercase English letters tried to follow by two digits.
What are permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement.When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.So,
Uppercase English letters equal 26.and the digits = 10 (0 to 9)Three uppercase English letters, then three digits:
First letter = 26 different waysSecond letter = 26 different waysThird letter = 26 different waysFourth digit = 10 different waysFifth digit = 10 different waysSixth digit = 10 different waysTotal number of possible ways = 26 x 26 x 26 x 10 x 10 x 10 = 17576000
Four uppercase English letters, then two digits:
First letter = 26 waysSecond letter = 26 waysThird letter = 26 waysFourth letter = 26 waysFifth digit = 10 waysSixth digit = 10 waysTotal number of possible ways = 26 x 26 x 26 x 26 x 10 x 10 = 45697600
Three uppercase English letters, three digits, or four uppercase English letters, two digits.
= three uppercase English letters, three digits + four uppercase English letters, two digits= 17576000 + 45697600= 63273600Therefore, 63273600 license plates can be created using either three uppercase English letters preceded by three digits or four uppercase English letters tried to follow by two digits.
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6/X + 9 if x = 3
pls help me
answer:
6/x + 9 = 11
explanation:
6 div. 3= 2
2+9=11
The probability of a particular event occurring is 0.27.
What is the probability that the event will NOT occur?
The Probability of not occurring of that event is 0.73.
Simply put, probability is the likelihood that something will occur.
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Flipping a coin is the best illustration for understanding probability:
Heads or tails are the two possible results.
What is the likelihood that the coin will land on heads? P(H) = can be used to determine this. P(H)=? P, H, the equals sign, the left and right parenthesis, and the question mark. It's possible that you already know 50%, or half and half, is the likelihood. How do we figure it out, though?
Probability of an event = (number of possible outcomes) / (total number of outcomes)
we know , total probability is always 1
Total probability = pro. of event occur + prob. of event not occur
1 = 0.27 + event not occur
probability of event not occur is 0.73
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Write 26/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
The decimal is 2.8 The 8 is the repeating decimal I just couldn't add the line to the top. So it would be 2.88888...
Step-by-step explanation:
Find each product.
29. (r-1)(7r+2)
31. x²(3x-2)(5x+1)
37. (m-n+k)(m+2n-3k)
43. (2m+3)(2m-3)
45. (4x²-5y)(4x²+5y)
Answer:
29. 7r^2-5r-2
31. 15x^4-7x^3-2x^2
37. -3k^2-2km+5kn+m^2+mn-2n^2
43. 4m^2-9
5. 16x^4 - 25y^2
Step-by-step explanation:
To solve these you expand the polynomial and use the FOIL method.
Left-handedness is ________ common than usual among mathematicians and ________ common than usual among artists.
a. less; more
b. less; less
c. more; less
d. more; more
Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.
What is a mathematical model?An equation set and a set of variables that define connections between the variables make up a mathematical model, which often explains a system.
As we know,
Mathematicians are more likely than average to be left-handed, while artists are more likely than average to be left-handed.
Thus, Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.
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Refer to the number line. find the coordinate of point c that is 78 of the distance from m to j.
The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁), 7/8(y₂ - y₁) ].
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Let's say the coordinate of m → (x₁,y₁)
j → (x₂ ,y₂)
Now since point c is proportion with 7/8
So,
It will be 7/8 times of difference between of x and y coordinate of points m and j
So,
x = 7/8(x₂ - x₁) and y = 7/8(y₂ - y₁)
Hence "The coordinate of point c is such that point c is 7/8 of m to j is [ 7/8(x₂ - x₁), 7/8(y₂ - y₁) ]".
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( 3 x 5 + y 2 ) 2 (3x 5 +y 2 ) 2
The value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4
How to evaluate the expression?The expression is given as:
(3x^5 + y^2)^2
Expand the expression
So, we have
(3x^5 + y^2)^2 = (3x^5 + y^2)(3x^5 + y^2)
Expand the bracket
(3x^5 + y^2)^2 = 9x^10 + 3x^5y^2 + 3x^5y^2 + y^4
Evaluate the sum
(3x^5 + y^2)^2 = 9x^10 + 6x^5y^2 + y^4
Hence, the value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4
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the number of triangles is 1/3 the number of sides
Answer:
y=(1/3) or y=1/3x
Step-by-step explanation:
Without the parenthesis, your equation can be interpreted as Y = one over 3x
The equation which represents the number of triangles is 1/3 the number of sides is t = (1/3) × s.
Let's denote the number of sides of a polygon as "s" and the number of triangles that can be formed within the polygon as "t."
The equation for the number of triangles being 1/3 the number of sides is:
t = (1/3) × s
This equation states that the number of triangles (t) is equal to one-third of the number of sides (s) in a given polygon.
Hence, the equation which represents the number of triangles is 1/3 the number of sides is t = (1/3) × s.
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Complete question:
Write an equation for the number of triangles is 1/3 the number of sides.
Use the graph to complete each statement. Drag tiles to complete the statements.
Answer: A=ellen B=Dion C=Corey D= Alex E= Corey F=Ellen
Step-by-step explanation:
candice is a building manager for the crowley enterprise office building
one of her responsibilities is cleaning the office building's 200-gallon
aquarium. for cleaning, she must remove the fish from the aquarium
and drain the water. the water drains at a constant rate of 10 gallons
per minute.
The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
The independent variable, as indicated in the name is not influenced by other variables but can predetermine its own self.
So, the independent variable is the water in the 200 gallon aquarium
Now, the dependent variable is the tested variable and is depends on the independent variable, which is the time it takes to drain the 200 gallon aquarium.
Hence, independent variable is volume of water in the aquarium and dependent variable is time it will take to drain the aquarium.
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Choose the correct scientific notation.1,345,080,000
The scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.
What is the scientific notation form?Given the number in the question;
1,345,080,000
To convert to scientific notation;
First, move the decimal so there is one non-zero digit to the left of the decimal point.
Now, the number of decimal places you move will be the exponent on the 10
Note that; if the decimal is being moved to the right, the exponent will be negative, also, If the decimal is being moved to the left, the exponent will be positive.
1.345080000
We moved 9 decimal places to the left
1.34508 × 10⁹
Therefore the scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.
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A car driving at 10.0 m/s southward accelerates at 4.11 m/s2 southward for 7.25 s. what is the car's speed after this amount of time?
The car's speed after the given amout of time is 19.8 m/s²
How would you define acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.
Average Acceleration =Change in Velocity/ Time Taken
So Change in Velocity is 10-x m/s
Time taken is 7.25 s
Given accelaration 4.11 m/s²
Putting the values we get,
4.11 = (10-x)/7.25
⇒29.8 = 10-x
⇒x=19.8 m/s²
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[tex]\frac{3}{7}x - \frac{4}{7} = -\frac{1}{7} \\[/tex]
Solve for x
Answer:
x = 1===================
Given equation:
[tex]\cfrac{3}{7}x- \cfrac{4}{7}=-\cfrac{1}{7}[/tex]Multiply all terms by 7 to get rid of fraction:
3x - 4 = - 13x = 4 - 13x = 3x = 1Solving for the value of x,
→ (3/7)x - (4/7) = -1/7
→ (3x - 4)/7 = -1/7
→ 3x - 4 = (-1/7) × 7
→ 3x - 4 = -1
→ 3x = -1 + 4
→ x = 3/3 = 1
Hence, the value of x is 1.
Simplify $(-3x^2 y)(5x^4 y^3).$
Answer: [tex]-15x^6y^4[/tex]
Step-by-step explanation:
(-3x^2 y)(5x^4 y^3)=
-3x^2 *5x^4 *y*y^3=
-3*5*x^2 *x^4 *y^4=
-15*x^(2+4) *y^4=[tex]-15x^6y^4[/tex]
Write the decimal equivalent for each rational number. Use a bar over any repeating digits 3/11
Answer:
see below
Step-by-step explanation:
1/11=0.0909....
3/11=0.090909...*3 or 0.27272727...
Based on the regression output, what proportion of the variability in revenue can be accounted for by whether the red sox are playing away? 22.5
By the given regression output, 22.5 % proportion of the variability in revenue can be accounted for by whether the red sox are playing away
the R- squared is to explain the variability in the dependent variable as an outcome of the difference in the independent variable, therefore the relevant figure here, the revenue is the dependent variable and the Red sox playing away is the independent variable out here.
So, the proportion will be = 0.2252 x 100%
= 22.5%
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Which new angle is created by extending one side of a triangle?
a remote interior angle
an adjacent interior angle
an exterior angle
a complementary angle
The created by extending one side of a triangle is called: C. an exterior angle.
What is an Exterior Angle of a Triangle?An exterior angle of a triangle is an angle that is formed by extending any of the sides of a triangle. The angle formed, which is called the exterior angle, has a measure that is equal to the sum of the opposite interior angles of the triangle.
Therefore, the angle shown in the image given that is created by extending one side of a triangle is called: C. an exterior angle.
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evaluate
(1 +-3)²(-4--3)
Answer:-4
Step-by-step explanation:
Examine the distribution of the target variable. what is the proportion of individuals who purchased organic products?
The proportion of individuals who purchased organic products is 24.77%.
The target variable is the variable whose values are modeled and predicted by other variables. A predictor variable is a variable whose values will be used to predict the value of the target variable
The target variable (also called the dependent variable) used in the analysis for this tutorial is a categorical variable that differentiates clinicians in the study that indicated that they would be Highly Likely to Use Product X from those that had a Low Likelihood to Use the new product
Organic food is grown without the use of synthetic chemicals, such as human-made pesticides and fertilizers, and does not contain genetically modified organisms (GMOs). Organic foods include fresh produce, meats, and dairy products as well as processed foods such as crackers, drinks, and frozen meals.
According to the plot the distribution of target variable is as follows
0’s: 167181’s
5505
The proportion of individuals who purchased organic products are: 5505/22223
= 0.2477
=24.77%
That is around 24.77% people have purchased organic products.
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Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300. If her sales go as usual, how many of each size photo must she sell to pay for the booth?
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300
Calculate the density of a solid substance if a cube measuring 2.57 cm on one side has a mass of 120. g
The required density of the given solid substance is 7.07 g/cm³.
What is the density of a substance?
The density of a substance is the property which is obtained by dividing the mass of the given substance by its volume. Its SI unit is kg/m³.
Calculation for the density of a solid substance
Mass of the given substance = 120 g
Side of cube, a = 2.57 cm
The volume of the given substance = a³
= 2.57³
= 16.97 cm³
The density of the given substance is given by the mass of the substance/volume of the substance
= 120 / 16.97
= 7.07 g/cm³
Hence, the density of the given solid substance is 7.07 g/cm³.
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90 = 10(x + 7) solve for x
show steps & describe the number of solutions
Answer:
x = 2
Step-by-step explanation:
Simplifying
90 = 10(x + 7)
Reorder the terms:
90 = 10(7 + x)
90 = (7 * 10 + x * 10)
90 = (70 + 10x)
Solving
90 = 70 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
90 + -10x = 70 + 10x + -10x
Combine like terms: 10x + -10x = 0
90 + -10x = 70 + 0
90 + -10x = 70
Add '-90' to each side of the equation.
90 + -90 + -10x = 70 + -90
Combine like terms: 90 + -90 = 0
0 + -10x = 70 + -90
-10x = 70 + -90
Combine like terms: 70 + -90 = -20
-10x = -20
Divide each side by '-10'.
x = 2
Simplifying
x = 2
There are three dials on a combination lock.
Each dial can be set to one of the numbers 1, 2, 3, 4, 5, 6
The three digit number 536 is one way the dials can
be set as shown in the diagram.
a) Work out the number of different three digit numbers
that can be set for the combination lock.
Answer: 136, 625,532,413
Step-by-step explanation:
1. Find the area of the triangle below.
5.6 m
9.9 m
4.4 m
7.8 m
A. 17.16 m²
B.
19.42 m²
C.
21.78 m²
D.
24.52 m²
Answer:
21.78 m^2
Step-by-step explanation:
9.9 x 4.4 / 2 = 21.78 m^2
How many units from zero is 0 on the number line? What is the opposite of 0?
Answer:
The absolute value of a number is the distance between the number and zero on a number line. Every number and it opposite are the same distance from zero on the number line.
Find the remainder for this calculation.
161 4
40 Remainder 1
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what is the least number that must be subtracted from 3793 for getting a perfect square
Answer:
Step-by-step explanation:
So the nearest perfect square to 3793 is 3721. Hence, the least number that must be subtracted from 3793 to get a perfect square = 3793 - 3721 = 72.
Answer:
ABBCBAAHSHSHDHEEHDHSHHH74737477382
Ronald wants to rent a car to take a trip and has a budget of $60. there is a fixed rental fee of $25 and a daily fee of $5. write an inequality that would be used to solve for the maximum number of days for which ronald can rent the car on his budget. 25 5x ≤ 60 25 5x ≥ 60 25x 5 ≤ 60 25x 5 ≥ 60
Answer:
60>x>25
Step-by-step explanation:
The kitchen wall is a rectangle measuring 7m by 2m.
Each tile is 50cm by 50cm. How many tiles is needed?
Two families visited an amusement park. The first family bought 2 hot dogs and 3 bottles of waters, which totaled $18. The second family bought 4 hot dogs and 2 bottles of waters, which totaled $28. How much did one hot dog cost?
$2
$4
$5
$6
The answer is 6.
6x4=24
and that leaves the water to =2 per bottle.
so, 24+4=28
Answer:
$6.00
Step-by-step explanation:
To solve this problem, we have to construct two separate equations for each family, and then use any of the methods for solving simultaneous equations.
Let's consider h to represent the cost of 1 hot dog, and w to mean the cost of 1 water bottle.
• For the first family:
[tex]2h + 3w = 18[/tex]
We can rearrange the equation to make w the subject:
⇒ [tex]3w = 18 - 2h[/tex]
⇒ [tex]w = \frac{18 - 2h}{3}[/tex]
• For the second family:
[tex]4h + 2w = 28[/tex]
Since we have previously obtained an expression for w in terms of h, we can substitute that expression for w in the above equation, and then solve for h:
⇒ [tex]4h + 2(\frac{18 - 2h}{3}) = 28[/tex]
⇒ [tex]4h + \frac{36 - 4h}{3} = 28[/tex]
⇒ [tex]12h + 36 - 4h = 84[/tex] [Multiplying both sides of the equation by 3]
⇒ [tex]8h + 36 = 84[/tex]
⇒ [tex]8h = 48[/tex]
⇒ [tex]h = \bf 6[/tex]
∴ The price of one hot dog is $6.00.
The cost of one hot dog at an amusement park is $6.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Let, the cost of hot dogs is 'x' and the cost of bottles of water be 'y'.
From the given information the two linear equations can be formed as,
2x + 3y = 18...(i) and 4x + 2y = 28...(ii)
Multiplying equation (i) by 2 and subtracting form (ii) we have,
4x + 2y = 28.
(-) 4x + 6y = 36
_____________
- 4y = - 8.
y = 2.
And hence x is equal to, 4x + 4 = 28 ⇒ 4x = 24 ⇒ x = 6.
So, The cost of one hog dog is $6.
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