The probability of a five-digit identification card containing the digits 0,1,2,3 and 4 in any order is 1 or 100%.
Given a five-digit identification card is made. We have to find the probability that the card will contain the digits 0,1,2,3, and 4 in any order.
So, we need to find the total number of possible ways of arranging the digits 0,1,2,3 and 4 in a 5-digit number. We can do this by calculating the number of permutations of these digits using the formula for permutation is:
P(n, r) = n! / (n - r)!
Here, n = 5 (the total number of digits) and r = 5 (the number of digits we want to arrange).
So, the total number of possible 5-digit numbers that can be made using the digits 0,1,2,3 and 4 is:P(5, 5) = 5! / (5 - 5)! = 5! / 0! = 5! = 120
Now, we need to find the number of 5-digit numbers that contain the digits 0,1,2,3 and 4 in any order. We can do this by counting the number of permutations of these digits using the formula for permutation is:P(n, r) = n! / (n - r)!Here, n = 5 (the total number of digits) and r = 5 (the number of digits we want to arrange).So, the number of 5-digit numbers that contain the digits 0,1,2,3 and 4 in any order is:P(5, 5) = 5! / (5 - 5)! = 5! / 0! = 5! = 120
Therefore, the probability of a five-digit identification card containing the digits 0,1,2,3 and 4 in any order is:Number of 5-digit numbers that contain the digits 0,1,2,3 and 4 in any order / Total number of possible 5-digit numbers= 120 / 120 = 1 or 100%
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how many seconds are in 2.5 hours
Answer:
9000 sec.
Step-by-step explanation:
There are 60 sec in an hour and 60 sec in a min:
60 × 60 = 3600
Multiply 3600 to 2.5:
3600 × 2.5 = 9000
Therefore, there are 9,000 sec in 2.5 hrs.
The compressive strengths of seven concrete blocks, in pounds per square inch, are measured, with the following results 1989, 1993.8, 2074, 2070.5, 2070, 2033.6, 1939.6 Assume these values are a simpl
Compute mean, variance, standard deviation, and range to analyze the compressive strengths of the concrete blocks.
In order to analyze the compressive strengths of the concrete blocks, several statistical measures can be computed. The mean, or average, of the data set can be calculated by summing all the values and dividing by the total number of observations.
The variance, which represents the spread or variability of the data, can be computed by calculating the squared differences between each value and the mean, summing these squared differences, and dividing by the number of observations minus one. The standard deviation can then be obtained by taking the square root of the variance.
Additionally, the range, which indicates the difference between the maximum and minimum values, can be determined. These statistical measures provide insights into the central tendency and variability of the compressive strengths of the concrete blocks.
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an incompressible fluid with zero viscosity flows through a pipe of varying radius (shown in cross-section). compared to the fluid at point p, the fluid at point q has
the fluid at point Q will have a higher velocity compared to the fluid at point P.
Since the fluid is incompressible and has zero viscosity, it means that the fluid will flow without any loss of energy due to friction or viscosity. Therefore, the fluid at point P and point Q will have the same energy.
However, based on the given information that the pipe has a varying radius, we can infer that the fluid at point Q will have a different velocity compared to the fluid at point P. According to the principle of continuity, which states that the mass flow rate is constant in an incompressible flow, when the radius of the pipe decreases at point Q, the fluid velocity will increase to maintain the constant mass flow rate.
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That's driver pays all tall is using only nickels and dimes by throwing one coin at a time into the mechanical toll collector
Since nickel is 5 cents and a dime is 10 cents, the possible tolls that you can pay need to be multiplies of 5 cents.
Let on represent the number of a ways
for the number of different ways the bus
The driver can pay a toll of 5n rent first case.
The first case used in a nickel then there are ways to pay =
57 - 5 = 5 ( 1 - 1 ) cents
The second case: - The coin used is a dime, then
there is a long way to
pay 5n - 10 2 5 ( 1 - 2 ) cents -
Adding the numbers of sequence of all
In three cases, we then obtain
an = an - 1 an +2
Initially, when n 20 there is exactly I way to pay cents ( using no coins )
when an = 1 there is exactly I to way
to pay 5 cents ( using one tickle )
q =f .
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An economics graduate student in the united states earns an $18,000 stipend per year. the u.s. sees significant inflation. how might the student react?
The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.
What is inflation?Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.
According to question:Inflation is term which states there is an expansion in the cost level for any labor and products.
In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.
Thus, graduate student argue on the a cost-of-living increase to her stipend.
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Be a kind soul and help me out please
well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".
so f(-1) => -2(-1) + 1 => 3.
Answer:3
Step-by-step explanation:
In this case x=-1 so you will use the top equation because x<1
so f(-1) = -2(-1) + 1
= 2+1
=3
graduation celebratory trip you decide to travel from Munich, Germany, to Moscow, Russia You leave Munich with 14,900 euros in your wallet. Wanting to exchange all of them for Russian rubles, you obtain the following quotes: a. What is the Russian rubleleuro cross rate? b. How many rubles will you obtain for your euros? a. What is the Russian ruble/euro cross rate? The Russian rubleleuro cross rate is Rbi €. (Round to two decimal places.)
a). As of March 1, 2022, the reference exchange rate for 1 euro is 117.201 Russian rubles.
b). Approximately 1,745,034.9 rubles for our 14,900 euros.
According to the European Central Bank, as of March 1, 2022, the reference exchange rate for 1 euro is 117.201 Russian rubles.
The Russian ruble/euro cross rate is the exchange rate between the Russian ruble and the euro. It represents the amount of Russian rubles that can be exchanged for one euro. In this case, we are given that we want to exchange 14,900 euros for Russian rubles. To determine how many rubles we will obtain, we need to multiply the amount of euros by the exchange rate. Using the exchange rate from the European Central Bank, we get:
14,900 euros x 117.201 rubles/euro = 1,745,034.9 rubles
Therefore, we will obtain approximately 1,745,034.9 rubles for our 14,900 euros.
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help me please i need a good grade
for number 1 its mixed numbers...and number 2 is The denominator
The equation y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line? *
1 point
-7
8
2
-13
Answer:
-7
Step-by-step explanation:
y-intercept
x=0
y-3= -2x-10
y=2(0)-10+3
y=0-7
y= -7
(0;-7)
Answer:
-7
Step-by-step explanation:
−3/4+(1/10÷2/5) I am so stuck on this problem! I think I know what the answer is but I'm just not sure if I'm right. Can someone please help?
Answer:
Step-by-step explanation:
According to the order of operations, you need to take care of what's inside the () first. Do this by flipping the second fraction upside down and then multiplying it by the first one:
\(\frac{1}{10}*\frac{5}{2}=\frac{5}{20}=\frac{1}{4}\)
Now you have
\(\frac{1}{4} -\frac{3}{4}=-\frac{2}{4}=-\frac{1}{2}\)
The scale of a map says that 4 cm represents 5 km. What is the actual number of kilometers that is represented by 5 centimeters on the map?
Answer:
6.25 km
Step-by-step explanation:
Let the number of km represented by 5 cm be x
Hence,
4 : 5 : : 5 : x
4x=25
x=6.25 km
PLEASE HELP ME ON SOME OF THESE!!! I AM SO CONFUSED!!
Answer:
4) (2x)(2x)(0.5)=shaded area
5) (7x)(5x)-(3)(4)(0.5)=shaded area
6) (3x+3)(x+4)-(2x)(x+4)(0.5)=shaded area
7) (3x)(2x)-(2x)(x)(0.5)-(x)(x)(0.5)=shaded area
8) (6x)(4x)(0.5)+(10x)(4x)(0.5)=shaded area
9) (4x+2)(x+3)+(2x)(x+3)(0.5)=shaded area
Step-by-step explanation:
Please Answer
Find the value of each variable
Answer:
x=45 and y=45
Step-by-step explanation:
It is given that two variables are the side lengths of the box symbol that indicates it is a right angle. Since a right angle equals 90 degrees, It is safe to say that the two side lengths that make up the right angle are half of 90.
Austin invested $60,000 in account paying an interest rate at 4.7% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, will be in the account after 11 years?
Answer:
100,300
Step-by-step explanation:
how many ounces are in 6 1/4 pounds(show your work)
Answer:
100 oz
Step-by-step explanation:
to find out how many ounces in a quarter pound, multiply 16 by ... 1/8 lb = 2 oz; 1/4 lb = 4 oz; 1/3 lb = 5.33 oz; 1/2 lb = 8 oz; 1 lb = 16 oz; 1.5 lb
Answer:
100 ounces
Step-by-step explanation:
there are 16 oz in a pound, so, 6 x 16 = 96 oz. And in 1/4 lbs there are 4 oz, so, when you add that to 96, it equals 100 oz.
Is the equation 96 ÷ 3 = 72 ÷ 2 true or false?
True
False
Answer:
false
Step-by-step explanation:
96/3=32
72/2=36
Ramil and Carly decided to make more baked goods for the bake sale. They used 1/8 less flour to make bread
Using fraction formula ,
The flour used by ramil and Carly for making bread is 33/40lb
Fraction: fraction is a number represented as a quotient, in which a numerator is divided by a denominator.
We have given that,
Ramil and Carly used 1/2 lb flour to make the bread.
They used 1/8lb less flour to make bread than to make cookies.
So, they used flour to make the cookies = 1/2+1/8
= 5/8lb
Therefore they used 5/8lb flour to make the cookies.
they used 1/5 lb more breads to make cookies than to make brownies. Mathematically, they used cookies for making the brownies is
= 1/5 + 5/8
=(8 + 25)/40 = 33/40lb
Therefore , they used 33/40lb flour to make the brownies.
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Complete question:
Ramil amd carly decided to make more baked goods for the bake sale. They used 1/8 lb less flour to make bread than to make cookies. She used 1/5 lb more to make cookies than to make brownies. If she used 1/2 lb of flour to make the bread, how much flour did she use to make the brownies
you are given two metal cubes that look similar. one has an edge of 3.2 cm long and a mass of 43.63 g. the other has an edge of 8.34 cm long and a mass of 683.5 g. how can you determine if both cubes are made from the same material? select the true statements.
The density of the materials is different hence the cubes are not made of same material.
The density of cube will be the representative of its material. Thus, we need to calculate the density. Here is it's formula -
Density = mass/volume
Now, we are given the mass and edge of cube. So, we need to calculate volume of cube. The formula is -
Volume = edge³
Volume of first cube = 3.2
Volume of cube one = 32.77 cm³
Volume of second cube = 8.34
Volume of cube one = 580.09 cm³
Now, finding the density of each cube.
Density of cube one = 43.63/32.77
Density of first cube = 1.33 g/cm³
Density of cube two = 683.5/580.09
Density of second cube = 1.17 g/cm³
Since the densities are slightly different, the materials are also different.
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The sum of two numbers is 59. The smaller number is 13 less than the larger number. What are the numbers?
how many 4-digit positive intergers have four different digits where the leading digit is not zero, the interger is amultiple of 5 and 5 is the largest digit
The 4-digit positive integers have four different digits where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit is 108.
\(5*4*3*1+4*4*3*1=60+28=108\)
Positive integers are the numbers we use to depend: 1,2, 3,4, 1 , 2, three, four, and so forth. Numbers with a fractional component not identical to zero and poor numbers are excluded from a fixed of high-quality integers. The operations of addition, subtraction, multiplication, and division can be finished with tremendous integers.
Positive integers are definitely your counting numbers. wonderful integers are in reality a part of a larger institution of numbers referred to as integers. Integers are all of the whole numbers, each advantageous and poor. by complete numbers, we imply numbers without fractions or decimals.
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We make four cases based on where the multiple of the 5 digits (0 or5) is. The number has to end with either 5 or 0 since it's a multiple of5. In all but the last case, 5 and 0 are used at the end and in another spot that separates the cases.
Case 1: The first digit can't be 0 so it must be 5. There are 4.3 to choose the middle two digits. After that, the last digit has to be 0, so there are a total of 1.4.3.1=12 numbers.
Case 2: The second digit can be 5, leaving 2 choices. The first and third numbers can be chosen in 4.3 ways, like last time. The last digit has to be 0 or 5, but not the one we already used. There are a total of 4.2.3.1=24 numbers.
Case 3: There are the same choices, but the digits 0 and 5 are at the last and second-to-last spots. So there are 4.2.3.1 =24 numbers again.
Case 4: There are 4.3.2 ways to choose the first three numbers. There has to be a 5 in the number because the largest digit is 5. Coincidentally, there are 4.2.3.1 numbers again.
There are a total of 12 + 24.3= (D)84 numbers.
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Describe and correct the error a student made when starting to solve the equation 8 ^ (x + 3) = 2 ^ (2x - 5) 8 ^ (x + 3) = 2 ^ (2x - 5) (2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5) 2 ^ (3x + 3) = 2 ^ (2x - 5) Choose the correct answer below A. The student should have divided both sides by 2 ^ 2 to simplify the expression B. The student did not convert 8 to the correct power of 2 C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3 D.The student should have expressed the initial rational exponent as the sum of two rational exponents ..
Answer:
C. is the correct option
C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3
and x = - 14
Step-by-step explanation:
8 ^ (x + 3) = 2 ^ (2x - 5)
Here is how the student solved the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
2 ^ (3x + 3) = 2 ^ (2x - 5) ----- This is where the student made the error.
The student did not distribute 3 in * (2 ^ 3) ^ (x + 3).
This is how to solve the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
Then, we will 3 distribute in (2 ^ 3) ^ (x + 3), so that we get
2 ^ (3x +9) = 2 ^ (2x -5)
Since the bases on both sides of the equation are equal, we can equate the powers so that we get
(3x +9) = (2x -5)
Then we will collect like terms
3x - 2x = -5 -9
∴ x = -14
This solution could be better written in this format
\(8^{x+3} = 2^{2x-5} \\2^{3} ^{(x+3)} = 2^{2x-5}\\2^{(3x+9)} = 2^{2x-5}\\{(3x+9)} = {2x-5} \\3x-2x= -5-9\\x = -14\)
a furniture company manufactures dining room tables and chairs. each table requires 8 hours from the assembly department and 2 hours from the finishing department and contributes a profit of $90. each chair requires 2 hours from the assembly department and 1 hours from the finishing department and contributes a profit of $25. the maximum labor hours available each day in the assembly and finishing department is 400 and 120. how many chairs and tables should be manufactured to maximize and minimize the daily profit?
To maximize the profit only 52 Tables must be manufactured daily and to minimize the profit only 173 chairs must be manufactured working with the efficiency given.
What is efficiency?
The ratio of work accomplished by a machine or process to total energy expended or heat consumed is known as efficiency.
Efficiency refers to how close we can get to a specific outcome from a given input with the least amount of waste. Efficiency is the capacity to waste as little material, work, energy, and time as possible when executing a task or generating a desired outcome.
The ratio of usable output to total input can be used to calculate efficiency. The efficiency of a device is defined as the ratio of energy transferred to a usable form to the total energy provided originally.
Now
For table,
assembly hours=8
finishing hours = 2
profit/table=$90
For Chairs
assembly hours=2
finishing hours = 1
profit/chair=$25
Total assembly hours in a day=400
Total finishing hours in a day=120
As profit for table is more than profit for chair. Therefore, for maximum profit only Tables will be manufactured and will be
=total hours available/Time taken for one chair
=520/10
Tables manufactured=52
and for minimum profit only chairs will be manufactured
=520/3
chairs manufactured=173
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MP Use Repeated Reasoning Connor is measuring a rectangular picture using unit squares. (Each unit square is 1 square inch. So far, he has made 3 rows with 5 unit squares in each row. He sees that there will be 2 more rows of 5. Explain how Connor can use multiplication to find the area of the picture.
Connor can use multiplication to find the area of the picture by multiplying each sides and this will be equal to 25 unit².
How to illustrate the information?It should be noted that the area of the rectangle will be the multiplication of the sides. Based on the information, ech unit square is 1 square inch. So far, he has made 3 rows with 5 unit squares in each row and he also sees that there will be 2 more rows of 5.
Therefore, Connor can use multiplication to find the area of the picture by illustrating thus:
= (3 × 5) + (2 × 5)
= 15 + 10
= 25 unit²
In conclusion, Connor can use multiplication to find the area of the picture by multiplying each sides and this will be equal to 25 unit².
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What is the completely factored form of this polynomial? 7x4 14x3 − 168x2
The completely factored form of the polynomial is 7x² (x + 6) (x - 4)
Given,
The polynomial ; 7x⁴ + 14x³ - 168x²
We have to find the complete factored form of this polynomial;
Polynomial;
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial is 7x⁴ + 14x³ - 168x²
Now,
Factorize the polynomial using common factors;
That is,
7x⁴ + 14x³ - 168x²
7x² (x² + 2x - 24)
Solve x² + 2x - 24 using quadratic formula;
That is,
\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2
Now,
Solve
-2 + √-92 / 2 = 3.79 ≈ 4
Solve
-2 - √-92 / 2 = -5.79 ≈ -6
Then,
The factors will be (x - 4) and (x + 6)
So,
7x² (x + 6) (x - 4) will be the factored form of the polynomial.
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A square has sides of length 6/12 inches. Area of length times width.
What is the area of the square in square inches?
The area of the square is 1/4inches² in square inches
What is area of squareThe area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.
The square has side of length = 6/12
this can be simplified as 1/2
so
area of the square = (1/2 × 1/2) inches ²
area of the square = 1/4inches²
Thus, the area of the square is calculated using area = s × s, as 1/4inches²
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Which is the equation of the line that passes through the points (-4, 8) and (1, 3)
Answer:
(-4,8)
Step-by-step explanation:
Have a NICE day!
Find an explicit formula for the following sequence, an, which starts with a₁ = -7. -7, -1, 5, 11, 17, ...
The explicit formula for the sequence is an = -7 + 6n, where n represents the position of the term in the sequence.
The explicit formula for the given sequence, an, is an = -7 + 6n, where n represents the position of the term in the sequence. The initial term a₁ is -7, and each subsequent term increases by 6.
This can be observed by noticing that the difference between consecutive terms is always 6. By adding 6 to the previous term, the next term in the sequence is obtained.
For example, -7 + 6(1) = -7 + 6 = -1, and -1 + 6(1) = -1 + 6 = 5. This pattern continues for each term. Thus, the explicit formula an = -7 + 6n generates the sequence accurately.
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When the increment operator precedes its operand, as num, the expression is in ________ mode.
When the increment operator precedes its operand, as
++num, the expression is in prefix mode.
When the increment or decrement operator is placed before the operand ( to the operand's left), the operator is being used in prefix mode.
A prefix is defined by specifying its name with the name= keyword, its optional short name with the sname= keyword, optional input names with iname=, and the keyword prefix.
During an assignment of one variable to other the prefix mode of increment and decrement first increments or decrements the variable's value then updated value of the variable is used in assignment.
Postfix mode on the other hand is when the increment or decrement operator is placed after the operand (or to the oper and's right) .
Pre-increment, (for example, ++n) increments the value first, and then performs the specified operation.
Therefore, When the increment operator precedes its operand, as ++num, the expression is in prefix mode.
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See screenshot Please! :) and help ASAP thank youu!! <33
Answer:
A.
Step-by-step explanation:
A. makes the most sense out of all of them. But if it had to be another one, I'd say D. Sorry! I'm not the best at these either. :)
In its standardized form, the normal distribution has which of the following properties?
O A. It has a mean of 0 and a standard deviation of 1
O B. It has a mean of 1 and a variance of 0
© C. It cannot be used to approximate discrete probability distributions
O D. It has an area equal to 0 5.
The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.
The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.
The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.
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