Therefore, 60 different combinations can be made wearing one of each type
What is Fundamental Counting Principle? If an event can occur in m different ways, and another event can occur in n different ways, then the total number of occurrences of the events is m × n.This video uses manipulatives to review the five counting principles including stable order, correspondence, cardinality, abstraction, and order irrelevance. When students master the verbal counting sequence they display an understanding of the stable order of numbers.Fundamental Principle of Counting helps to determine how selection is done on the basis of available choices. Fundamental Principle of Counting simplifies the approach of selection considering all the possible choices and their combinations for calculating the ProbabilityThe fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. Example 1: Suppose you have 3 shirts (call them A , B , and C ), and 4 pairs of pants (call them w , x , y , and z ). Then you have. 3×4=12.To learn more about Fundamental Counting Principle refers to:
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10 Two cyclists are traveling along a track in the same direction. Their motions are described
by the linear equations d = 10t and d-8t= 2, where t hours is the time and d miles is the
distance from a point on the track.
b When will the cyclists meet?
Answer:
They will meet in 1 hour
Step-by-step explanation:
(1) d = 10t
(2) d - 8t = 2 rearrange this equation to: d = 8t + 2
Set equation (1) equal to equation (2):
10t = 8t + 2
Solve for t:
10t - 8t = 2
2t = 2
t = 2/2 = 1 hr
A cup of tea costs $3.25 at a local cafe. Alan and his wife, Patty, have a coupon for $1 off their order. Alan says the expression 3.25t - 1 represents the cost for t cups of tea. Patty says the expression 3t + (-1) represents the cost. Are their expressions equivalent? Explain.
Answer:
Step-by-step explanation:
The expressions are not equivalent. A cup of tea costs $3.25. $3.25t reprensents the total cost for the number of cups of tea (t) in one order. Subtracting the $1 coupon or adding the coupon as a negative results in the same discount. But Patty is using the wrong cost for a cup of tea, $3 instead of $3.25. Resulting in expressions that are NOT equivalent.
During lockdown down period people work very puzzled and their decided to play some game firstly they collect the 17 cards and write the numbers 1 to 17 put them in a box people make a bet from the chance of drawing the number either the prime or even number
etc.
From the universal set; N = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}
Probability of drawing an even or prime number will be 15/17.
What is Probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. The probability of all the events in a sample space adds up to 1.
N = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}
Prime = {1,2,5,7,11,13,17}
Even = {2,4,6,8,10,12,14,16}
Pr(Prime) = 7/17
Pr(Even) = 8/17
Pr(Prime or even) = 7/17 + 8/17
Pr(Prime or even) = 15/17
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If the original quantity is 8 and the new quantity is 4, what is the percent increase?
The percent increase is 50%.
What is percentage increase?The percentage increase in a quantity is the rate of difference in the old and new value to the old value, express in percentage.
i.e percentage increase = (old value - new value)/ old value
If the new quantity were be have decreased, then the percentage decrease can also be determined.
Considering the given question, the percentage increase can be determined by;
old quantity = 8
new quantity = 4
So that,
percentage increase = (old value - new value)/ old value
= (8 - 4)/ 8 *100%
= 4/ 8 * 100%
percentage increase = 50%
The percent increase is 50%.
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Please help !!
50 Points
Write a division problem that has a quotient of 9/10 . At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or improper fraction. Neither the dividend nor the divisor can be 9/10 .
By dividing we can get proper fraction is 9/10.We can find answer by dividing two fractions.
What is proper fraction with example?A proper fraction is a fraction which has its numerator value less than the denominator. For example, ⅔, 6/7, 8/9, etc. are proper fractions.. We simplify fractions because it is always to work or calculate when the fractions are in the simplest form.
How do you divide fractions?To divide a fraction with a whole number we multiply the given whole number with the denominator of the fraction. Here, 8/5 ÷ 5 = 8/5 × 1/5 = 8/25. Therefore, 8/5 ÷ 5 = 8/25. Because multiplication is easier than division and because division by itself does not always produce whole numbers.
Now we get
1/2 divide 5/9
1/2 * 9/5
9/5
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How many incas did the spanish kill on november 16 1532 o 100 o 600 o 1000 6000?
Spanish killed nearly 6000 Incas.
The Spanish conquistador and explorer Francisco Pizarro springs a trap on Atahualpa, the monarch of the Incas, in the year 1532. Atahualpa allowed roughly 6,000 unarmed men to attend the feast despite having almost 80,000 soldiers with him in the mountains. It took the Spanish a long time and much violence to conquer the Inca Empire. Pizarro's soldiers massacred the 6,000 Incans in approximately one hour.
The lone Spanish wounded were received by Pizarro himself, who injured his hand while saving Atahualpa's life. Pizarro retained Atahualpa in captivity while he prepared plans to conquer his empire because he understood that the emperor was worthy alive than dead. Atahualpa responded by appealing to his hostages' avarice and supplying them with money and silver in exchange for their release.
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A jetski races down the river at a constant speed for t seconds, covering m metres. How long, in
minutes, will it take for the jetski to cover n metres at the same speed?
It will take a time of n/60m minutes for the jetski to cover n metres at the same speed.
Define the term linear speed?The measurement of a moving object's actual distance travelled is called linear speed. Linear speed is the rate of motion of an object along a straight line.Thus, the angular speed times the r-dimensional distance equals the linear speed of such a point located on the object. The measuring unit is metres per second and metres per second. = the rate of change in radians per second.Speed = distance/ time
Speed = m/s
For the distance of n meters.
distance = speed * time
n = m/s*time
n = m /s* time
Time = n(m/sec)
Time = n/m * sec
Time = n/60m min
Thus, it will take n/60m minutes for the jetski to cover n metres at the same speed.
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For what value of k (- 2 is a zero of the polynomial 3x² 4x 2k?
The polynomial's zero is 2 since the value of k = -2 is [tex]3x^{2}[/tex] +4x+2k . A polynomial is an equation that combines variables, constants .
what is polynomial ?Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).
given
−2 is a zero of f(x)=[tex]3x^{2}[/tex]+4x+2k
f(−2)=0
∴[tex]3(-2)^{2}[/tex] +4(−2)+2k=0
=>12−8+2k=0
=>2k=−4
=>k=−2
The polynomial's zero is 2 since the value of k = -2 is [tex]3x^{2}[/tex] +4x+2k .
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Please help me with my HW
Answer: 4k^7
Step-by-step explanation:
[tex]w + 29 = 250 \div 5 - 20[/tex]
Find the value of w
Answer:
I don't know I am sorry bro
On average, what value is expected for the F-ratio if the null hypothesis is true? a. 1 b. k-1 c. N-k on average, what value is expected for the F-ratio if the null hypothesis is false? a.1 b. 0
c. Between 0 and 1.00 d. Much greater than 1.00
The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.
a) On average, what value is expected for the F-ratio if the null hypothesis is true?
The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.
b) On average, what value is expected for the F-ratio if the null hypothesis is false?
The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.
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DEFG is a square with vertices at D(1, 1), E(1,6), F(6, 6), and G(6, 1). DEFG is reflected in the line x = 1. Find the coordinates of
D',E,F, and G'.
By considering the reflection, the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
What is square?A square is a two-dimensional geometric shape that has four equal sides and four right angles. It is a type of rectangle, but with all sides equal. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length or by the coordinates of its vertices.
What is reflection?Reflection is a type of transformation in geometry in which a shape is flipped over a given line, called the line of reflection. The image that is created is a mirror image of the original shape. The line of reflection can be a horizontal line, a vertical line, or any line that is not parallel to the axes. Reflecting a shape over a line involves taking the coordinates of each point of the shape and applying a specific rule (such as multiplying or adding a constant) to the x or y coordinate, depending on the line of reflection. This rule is often simple and easy to apply, such as reflecting over x = 1. The reflected shape will be in the same plane as the original shape but with a different orientation or position.
When a square is reflected in the line x=1, each of the points on the square will have their x-coordinate replaced by 1 subtracted from their original x-coordinate.
The coordinates of the reflected square D'E'F'G' can be found by applying this rule to the original coordinates of square DEFG:
D(1,1) => D'(1-1,1) => D'(0,1)
E(1,6) => E'(1-1,6) => E'(0,6)
F(6,6) => F'(6-1,6) => F'(5,6)
G(6,1) => G'(6-1,1) => G'(5,1)
So the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
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Nic borrowed $350 to buy a bow. The finance charge on the loan was $25 and the
term on the loan was 45 days. What was the APR for Nic's loan?
1 pts
In answering the question, we discovered that a sample size of 20 was required in order to reach this conclusion.
How big a sample is it?The sample size is the number of observations used to estimate a certain population. The population was used to determine the sample size.
The act of promoting a product to increase sales is known as advertising. Based on the scenario given, the advertisement is misleading for the following reasons:
For this finding to be reliable, a sample size of 20 samples is rather small. Although the company was aware that the fertilizer treatment might get rid of weeds in approximately 2 weeks, customers said it would take 4 weeks for all of the weeds to die.
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2n -3=7
what is the variable?
What is the coefficient of the variable?
Which of these the solution of the equation?
The variable for the equation 2n - 3 =7 is 5.
What is variable ?
A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable.
A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown.
Then variable is n
Variable is an alphabet that depend on number.
Then the variable there is n
And the coefficient of the variable is 2
The coefficient is the number behind a variable
And the value of the variable is
2n-3=7
Add 3 to both sides
2n-3+3=7+3
2n=10
Divide both side by 2
2n/2=10/2
n=5
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-50 POINTS-
Don’t need to explain
A.)
B.)
C.)
Answer:
C
Step-by-step explanation:
How to solve y-2=-2(x+3) when x equals -3
The graph shows the number of each kind of CD in Dante's music collection. What is
the probability that a randomly choosen CD will be country?
Pop
10
Types of Music CDs
Rock
6
Jazz
4
Country
12
Hip-Hop
Answer: 1/8
Step-by-step explanation: To calculate the probability, we first need to add up the total amount of CDs. 10+6+4+12 = 32. After this, we divide 4 by 32, getting 4/32 which can be simplified to 1/8
The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?
When the four - digit numeral is divisible by nine is given by 3AA1 the digit A represents 7
Properties of numbers divisible by 9A number itself is divisible by 9 if its digit's sum is also divisible by 9.
In mathematics, multiples are the results of multiplying an integer by a given number. number divisible by 9 is multiple of 9
using the above property we have that
3 + A + A + 1 = 9, OR 18, OR 27
4 +2A = 9, OR 18, OR 27
assuming 18
2A = 18 - 4
2A = 14
A = 7
hence the number is 3771
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(I need the answer as FAST as possible so if anybody could help that would be greatly appreciated)
Find the volume of each cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for T.
2.5 cm
2 cm
cubic centimeters.
HELP ASAP PLS 50!!!!
Identify or mark the missing side or angle that would make triangle ABC a congruent to triangle PDF by SAS
Answer:
AC = PF
Step-by-step explanation:
What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?
The simplified form of expression is, 12x⁶.
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.
We have to given that;
The expression is,
⇒ √144 x³⁶
Now, By the property of square root;
⇒ √ ab = √a × √b
We get;
⇒ √144 x³⁶ = √144 × √x³⁶
And, By using the exponent property, we get;
⇒ xᵃᵇ = xᵃ × xᵇ
So, We get;
⇒ √144 x³⁶ = √144 × √x³⁶
= √144 × √x⁶ × √x⁶
= √12×12 × √x⁶ × √x⁶
= 12 × x⁶
= 12x⁶
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D t
-60 0
-56 10
-24 90
-20 100
-8 130
0 150
Choose the correct statement.
Select one:
a.
The function is
D(t)=52t−150
b.
The function is
D(t)=25t−150
c.
The function is
D(t)=52t−60
d.
The function is
D(t)=25t−60
Answer: To determine the correct statement, you need to find a pattern in the values of D(t). You can do this by finding the difference between consecutive values of D(t).
The difference between -60 and 0 is 60.
The difference between 0 and 10 is 10.
The difference between 10 and 90 is 80.
The difference between 90 and 100 is 10.
The difference between 100 and 130 is 30.
The difference between 130 and 150 is 20.
The pattern that emerges is that the difference between consecutive values of D(t) is always 25. This means that the correct statement is "The function is D(t)=25t−60". The correct answer is therefore d.
Step-by-step explanation:
66. Mechanical Engineering A crossed belt connects
a 10-centimeter pulley on an electric motor with a
20-centimeter pulley on a saw arbor (see figure). The
electric motor runs at 1700 revolutions per minute.
(c) Let L be the total length of the belt. Write L as
a function of o, where is measured in radians.
What is the domain of the function? (Hint: Add the
lengths of the straight sections of the belt and the
length of the belt around each pulley.)
On solving the provided question, we cans ay that - the value of the each unit in this time will be from unitary method is 85.
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
value of the 20 unit is 1700
value of the each unit will be 1700/20 = 85
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is the relationship between the variables in the table an inverse variation or a direct variation? write an equation to model it.
x= 2 6 7 14
y= 21 7 6 3
The relationship between the variables in the table is an inverse variation The equation to model is y = 42/x.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 8 is an equation.
We have,
x: 2 6 7 14
y: 21 7 6 3
Now,
When x = 2, y = 21
This can be written as,
y = kx
21 = 2k
k = 21/2
The equation is y = (21/2)x _____(1)
or
y = k/x
21 = k/2
k = 42
The equation is y = 42/x _____(2)
Now,
We will check which equation fits the table.
From (1)
y = (21/2)x
When x = 6,
y = (21/2) x 6 = 21 x 3 = 63
From (2),
When x = 6,
y = 42/6 = 7
When x = 7,
y = 42/7 = 6
When x = 14,
y = 42/14 = 3
This equation satisfies the table.
Thus,
The relationship is an inverse variation.
The equation is y = 42/x.
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March Madness Movies served 2323 lemonades out of a total of 111111 fountain drinks last weekend. Based on this data, what is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade?
23/111 is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade.
What do you mean by Probability?Probability theory deals with numerical evaluations of the likelihood that an event will occur.
Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.
A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.
March Madness Movies served 23 lemonades out of a total of 111 fountain drink last weekend.
The probability that the a fountain drink ordered is a lemonade will be :-
P= [tex]\frac{Number of lemonade}{Total fountain drink}[/tex]
= 23/111
Based on this data, the reasonable estimate of the probability that the next fountain drink ordered is a lemonade = 23/111.
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2 Dylan needs 2.5 liters of water for an experiment. He has 1.125 liters.
How much more water does Dylan need?
Show your work.
Dylan needs how many
liters of water.
So Dylan needs 1.375 liters of water more for his experiment.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
To find out how much more water Dylan needs, we can subtract the amount of water he currently has from the amount of water he needs for the experiment.
2.5 - 1.125 = 1.375 liters
So Dylan needs 1.375 liters of water more.
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What is associative property in math?
Answer:
This law simply states that with addition and multiplication of numbers, you can change the grouping of the numbers in the problem and it will not affect the answer. Subtraction and division are NOT associative.
Step-by-step explanation:
Dominic invested $93,000 in an account paying an interest rate of 6. 8% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $202,800?
The standard deviation equation ( 1 + 6.8)% × 93000 > 202800
What is standard deviation?
Your dataset's standard deviation serves as a gauge of its degree of variability. It displays the typical difference between each outcome and the mean.
While a high standard deviation indicates that values are frequently distant from the mean, a low standard deviation indicates that values are typically grouped close to the mean.
( 1 + 6.8)% × 93000
= 202800
Then we get n ≈ 12,
the equation ( 1 + 6.8)% × 93000 > 202800
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Which variation is represented by this situation:
Lisa and Maria are at a convention. There is enough food at the convention to feed 300 attendees for 4 days. If 400 people attend the convention, how long will the food last?
If 400 people attend the convention,
the food will last for 3 days.
What is inverse proportion?Two quantities a and b are said to be in inverse proportion if an increase in quantity a, there will be a decrease in quantity b, and vice-versa. In other words, the product of their corresponding values should remain constant. Sometimes, it is also known as inverse variation.
That is, if ab = k, then a and b are said to vary inversely. In this case, if b1, b2 are the values of b corresponding to the values a1, a2 of a, respectively then a1 b1 = a2 b2 or a1/a2 = b2 /b1
Given,
Food for 300 people will Last for 4 days.
Attending people = 400
Let the food for 400 will last for x days.
According to the question,
300 × 4 = 400 × x
x = 300 × 4 /400
x = 3
Hence, the food will last 3 days,
if 400 people attend the convention.
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