Answers
√y^3 = √y^2•y
√y^2•y = y•√y
Because the square root of y cubed simplifies to: y•√y, the two terms being multiplied are the same, so we can simply multiply them:
(y•√y)(y•√y)
The Associative Property of Multiplication states that we can arrange the terms in any order without affecting their product:
(y•y)(√y•√y)
Simply, but remember the exponent rules: a^n•a^m=a^n+m
y^2•√y^2
y^2•y
y^3 is the answer.
Related Questions
Which expression is equivalent to (m−2n−3)−4?
m−6n−7
m8n12
m−8n−12
1 over the quantity m raised to the sixth power times n raised to the seventh power end quantity
Answers
Answer:
B
Step-by-step explanation:
(m^-2 n^-3)^-4
-2 x -4 = 8
-3 x -4 = 12
m^8n^12
The given expression (m − 2n − 3) − 4 is equivalent to →
(m - 2n - 7).
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.
Given is the expression -
(m − 2n − 3) − 4
The given expression is -
(m − 2n − 3) − 4
m - 2n - 3 - 4
m - 2n - 7
Therefore, the given expression (m − 2n − 3) − 4 is equivalent to →
(m - 2n - 7).
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Answer question #8
Give a short answer responding the question that’s being asked
The response written in the box isn’t correct so I need help
Answers
The conclusion is that the angle which measures 120° is not Acute angle.
What are angles ?The construction of an angle is a type of geometric shape made by connecting two rays at their termini. Three letters that make up the form of the angle can alternatively be used to symbolise the angle, with the middle letter indicating the location of the angle (i.e.its vertex). Greek characters such θ, α, β, etc. are frequently used to denote angles.
In geometry, there are mainly six different kinds of angles. All angles have the following names and characteristics:
The acute angle ranges from 0° to 90°.The obtuse angle ranges from 90° to 180°.Right Angle: The angle that is 90 degrees precisely.Direct Angle: the angle that is exactly 180 degreesReflex Angle: The angle between 180 degrees and 360 degrees that is bigger than 180 degrees.360-degree full rotation: The whole rotation of an angle.Angle B measures 120°.
Here the angle is more than 90° so the angle is not acute.
The conclusion is that the angle which measures 120° is not Acute angle.
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The price of a car has been reduced from $23,000 to $16,100. What is the percentage decrease of the price of the car?
Answers
100%/x%=23000/16100
(100/x)*x=(23000/16100)*x
- we multiply both sides of the equation by x
100=1.4285714285714*x
- we divide both sides of the equation by (1.4285714285714) to get x
100/1.4285714285714=x
70=x
x=70
O
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 0≤x≤ 4.
x
0
1
2
32
4
5
3
6
12
24
48
96
Answers
The average rate of change of the function at the interval 0 ≤ x ≤ 4 is 11.25
How to determine the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
x 0 1 2 3 4 5
y 3 6 12 24 48 96
The interval is given as
0 ≤ x ≤ 4
On the table, we have
x = 0 and y = 3
x = 4 and y = 48
This means that
f(0) = 3 and f(4) = 48
The average rate of change is then calculated as
Average rate of change = [f(4) - f(0)]/[4 - 0]
Substitute the known values in the above equation, so, we have the following representation
Average rate of change = [48 - 3]/[4 - 0]
Evaluate
Average rate of change = 11.25
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Naomi's car used \frac{2}{5} 5 2 of a gallon to travel 15\tfrac{1}{2}15 2 1 miles. how many miles can the car go on one gallon of gas?
Answers
Answer:
To determine how many miles Naomi's car can go on one gallon of gas, we first need to determine how many gallons of gas the car used to travel 15\tfrac{1}{2}15 2 1 miles. We are told that the car used \frac{2}{5} 5 2 of a gallon to travel this distance, so we can multiply this value by 15\tfrac{1}{2}15 2 1 to get the total number of gallons used:
\frac{2}{5} \cdot 15\tfrac{1}{2} = 9
Therefore, the car used 9 gallons of gas to travel 15\tfrac{1}{2}15 2 1 miles. To determine how many miles the car can go on one gallon of gas, we need to divide the total number of miles traveled by the number of gallons used:
15\tfrac{1}{2} \div 9 = \frac{31}{18}
This means that the car can go 31/18 miles on one gallon of gas. Since this fraction is not in simplest form, we can further simplify it by dividing the numerator and denominator by the greatest common factor, which is 3:
\frac{31}{18} \div \frac{3}{3} = \frac{31}{18} \cdot \frac{3}{3} = \frac{31 \cdot 3}{18 \cdot 3} = \frac{93}{54}
Therefore, the car can go 93/54 miles on one gallon of gas. This fraction can be further simplified by dividing the numerator and denominator by the greatest common factor, which is 1:
\frac{93}{54} \div \frac{1}{1} = \frac{93}{54} \cdot \frac{1}{1} = \frac{93 \cdot 1}{54 \cdot 1} = \frac{93}{54}
Therefore, the final answer is that the car can go 93/54 miles on one gallon of gas.
Is 13,82,90 a right triangle
Answers
Answer:
it's not a right triangle (it's an obtuse triangle)
Step-by-step explanation:
If three numbers a, b and c verify the relation a^2+b^2=c^2 they are said to form a Pythagorean triple, therefore the triangle is right-angled.
verify
13^2 + 82^2 = 90^2
169 + 6724 = 8100
6893 = 8100
it's not a right triangle (it's an obtuse triangle)
miguel is mixing up a salad dressing. regardless of the number of servings, the recipe requires that 58 of the finished dressing mix be olive oil, 14 vinegar, and the remainder an even mixture of salt, pepper and sugar. if miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?
Answers
44 is the proportion of the botched dressing will be olive oil.
Given, Miguel is mixing up a salad dressing. regardless of the number of servings,
the recipe requires that 58 of the finished dressing mix be olive oil, 14 vinegar, and the remainder an even mixture of salt, pepper and sugar. if he accidentally doubles the vinegar and forgets the sugar altogether,
we have to find the proportion of the botched dressing that will be olive oil.
first we will find the amount of the even mixture of salt, pepper and sugar.
as, olive oil + vinegar + even mixture of salt, pepper and sugar = 100
58 + 14 + mixture of salt, pepper and sugar = 100
mixture of salt, pepper and sugar = 100 - 72
mixture of salt, pepper and sugar = 28
if he mixed doubles of the vinegar i.e. 28 then olive oil be,
x + 28 + 28 = 100
x = 100 - 56
x = 44
Hence, 44 is the proportion of the botched dressing will be olive oil.
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What is the cubic polynomial with zeros (3,0), (-6,0), and (1,0)?
Question 15
Answers
The cubic polynomial with zeros (3,0), (-6,0) and (1,0) is given as follows:
D. x³ + 2x² - 21x + 18.
How to obtain the cubic polynomial?We are given the zeros of the polynomial, which then can be obtained using the Factor Theorem.
The zeros of the polynomial are given as follows:
x = 3, x = -6, x = 1.
Then, applying the Factor Theorem, considering a leading coefficient of 1, the polynomial is given as the product of it's linear factors as follows:
(x - 3)(x + 6)(x - 1)
(x² + 3x - 18)(x - 1)
x³ + 2x² - 21x + 18.
Meaning that option D is correct.
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Jon has $412 in his bank account. He withdraws $20 each week for lunch. How many weeks it would take for him to have at most $12 left in his bank account
Answers
Answer: 20 weeks
Step-by-step explanation:
If he has $412 in his bank account, and he withdraws 20 each week, at 10 weeks he would have $212 left, at 20 weeks he will be left with $12.
Hence, the right answer is 20 weeks.
the mass of a radioactive substance follows a continuous exponential decay model. a sample of this radioactive substance has an initial mass of and decreases continuously at a relative rate of per day. find the mass of the sample after two days.
Answers
The initial mass of the sample after two days = 8483.45 kg
Given that,
It is known as exponential decay when a population or group of something is deteriorating and the quantity of decline is proportional to the size of the population. In an exponential decay, the overall value falls but the percentage that departs stays the same throughout time.
The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula.
The standard formula for this type of behavior which is written below:
A = [tex]Pe^{-rt}[/tex]
Where
A refers the amount left after time t
P refers the initial amount at t = 0
r refers the rate
Here we have given that the mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of per day.
A sample of this radioactive substance was taken after two days.
And we need to find if the sample has a mass of today, then the initial mass of the sample.
Now, we have to substituting the values,
Let us assume,
P = 9575 kg
r = 0.12
t = 1
Then we get the equation as,
A = (9575 kg) [tex]e^{-0.12*1}[/tex]
When we simplify this one, then we get,
A = (9575 kg) [tex]e^{-0.12}[/tex]
A = (9575 kg) 0.886
A = 8483.45 kg
Therefore,
The initial mass of the sample after two days = 8483.45 kg
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Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 10(1.01)
Answers
The given exponential function represents the growth in the function. The percentage of growth (increase) is 1%.
What is the exponential growth function?An exponential growth function is a function where the quantity increases slowly and after some time, it increases rapidly.
It is represented by the formula,
y = a(1 + r)ˣ
Here the term 'a' is the initial amount of the quantity, the term 'r' is the rate of increase and the term 'x' is the period.
Calculation:The given exponential function is y = 10(1.01)ˣ
Here we can write the function as
y = 10(1.01)ˣ
⇒ y = 10(1 + 0.01)ˣ
Since 1.01 > 1, it is an exponential growth function.
So, when comparing with the formula, we get the rate of increase,
r = 0.01
Converting it into fractions, we get 1/100
Then, the percentage rate of increase is 1%.
Therefore, the given exponential function grows with a rate of 1% increase.
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The peregrine falcon is the
fastest bird. It flies at a rate
of 300 kilometers per hour. If
it flies for 4.5 hours, how far
will it travel?
Answers
Answer: 1350 kilometers
Step-by-step explanation: 300 kilometers per hour x 4.5 hours = 1350
One morning, Adrian stood tall and had a friend measure his shadow on the sidewalk. Adrian's friend also measured from the top of Adrian's head to the tip of his shadow. The diagram below shows these measurements. How tall is Adrian? A 4.5 ft B 5 ft C 5.5 ft D 6 ft
Answers
The length of Adrian's shadow measured by his friend and the distance directly from Adrian's head to the tip of his shadow can be used to find Adrian's height using Pythagorean Theorem. Using an example of the measurement values, Adrian's height is about 5.5 feet
What is Pythagorean Theorem?Pythagorean Theorem states that the sum of the square of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse side.
The diagram in the question appears left out. Please find attached a drawing made using the measurement lengths in the following example, created with MS Word.
The measurements Adrian had his friend to do are;
The length of Adrian's shadow on the sidewalk and the length from Adrian's head to the tip of the shadow.
Let x represent the length of Adrian's shadow, let r represent the distance from Adrian's head to the tip of the shadow, and let y represent Adrian's height
According to Pythagorean Theorem, we get;
r² = x² + y²
Therefore, the Adrian's height, h = √(r² - x²)
When r ≈ 8.14, and x = 6, we get;
h = √(8.14² - 6²) ≈ 5.5
Adrian's height is about 5.5 feet in the example situation
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The bottom of a ladder must be placed 5 feet from a wall. The ladder is x ft long. The ladder touches the wall 10 ft from the ground. How tall is the ladder? Round to the nearest whole number. 18 ft
Answers
Using Pythagoras theorem, the length of the ladder is 11 feet
Pythagoras TheoremThe Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle xyz, in which we have x² = y² +z². Here, y is the base, z is the altitude (height), and x is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.
Data;
x = hypothenuse = length of laddery = 5 feetz = 10 feetUsing Pythagoras theorem;
x = 5² + 10²
x = 25 + 100
x = 125
x = √25
x = 11ft
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Find the surface area 5 4 7 6 8 triangular
Answers
The surface area of the triangular prism is 136 square units
How to determine the surface areaFrom the question, we have the following parameters that can be used in our computation (see attachment):
Rectangles (2) = 7 units by 5 unitsRectangles (1) = 7 units by 6 unitsTriangles (2) = 4 units by 6 unitsThe surface area of the triangular prism is the sum of the areas of the above shapes
So, we have
Surface area = 2 * area of rectangle 1 + 1 * area of rectangle 2 + 2 * area of triangle 1
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2 * 7 * 5 + 1 * 7 * 6 + 2 * 0.5 * 4 * 6
Evaluate
Surface area = 136
Hence, the surface area is 136 square units
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Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
Answers
The second cyclist will cover (9 + 3b/4) miles in 45 minutes of cycling at (12 + b) miles per hour
How to find the number of miles the second cyclist bike in 45 minutesThe problem is solved using the formula for speed which is
= distance / time
The speed of the first cyclist is 12 miles per hour
the speed of the second cyclists is 12 + b miles per hour
In 45 minutes the distance covered by the second cyclist is
distance = speed * time
60 minutes = 1 hour
45 minutes= ?
? = 45/60 = 3/4
distance = (12 + b) * 3/4
= (9 + 3b/4) miles
the distance covered by the second cyclist is (9 + 3b/4) miles
complete question
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the second cyclist bike in 45 minutes?
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Joe bought a box of laundry that contains 195 scoops. Each load of laundry uses 1 1/2 scoops. If the box of detergent costs $19.99, how much is he paying per load of laundry?
Answers
0.563 $ is he paying per load of laundry
What is business mathematics?
Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.
Simple arithmetic, elementary algebra, statistics, and probability are all frequently utilized in business. More complex arithmetic, such as calculus, matrix algebra, and linear programming, may be used to solve some management challenges.
According to question:
Total scoop contained in detergent box = 195 scoops.
Scoops used by each load of laundry = 11/2 scoops = 5.5 scoops
Number of laundry he can do with this box = 195/5.5
= 35.45 laundries.
Price of detergent box = 19.99 $
Price he paying for each load = Total price/ Number of loads
= 19.99/35.45
= 0.5638928067700
= 0.563 $ (Approx)
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Complete the equation of the line whose yyy-intercept is (0,-1)(0,−1)left parenthesis, 0, comma, minus, 1, right parenthesis and slope is 444.
Answers
The complete equation in the slope-intercept form is y = 4x-1.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
So, the equation is,
y - y₁ = m (x - x₁)
And the standard form of the slope-intercept form:
y = mx+b,
where m is the slope and b is the y-intercept.
From the question, we have
m = 4 and coordinates of b is (0, -1).
So, the equation is,
y + 1 = 4 (x - 0)
y +1 = 4x
y = 4x-1
Therefore, the equation is y = 4x-1.
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a student needs 11 more classes to graduate. if she has met the prerequisites for all the classes, how many possible schedules for next semester could she make if she plans to take 4 classes?
Answers
We can conclude that the number of possible schedules for next semester could she make is 7920.
In more mathematical terms, the factorial of a number (n!) is equal to
n(n-1). For example, if you want to calculate the factorial for four, you would write: 4! = 4 x 3 x 2 x 1 = 24.
Given that,
The student needs 11 more classes to graduate.
And, possible schedules for next semester could she make if she plans to take 4 classes
Based on the given expression, the calculation is as follows:
The combination formula is given to be:
[tex]n_{C} _{r} =\frac{n!}{r!(n-r)!}[/tex]
= [tex]11_{C} _{4}[/tex] ! * 4 !
= [tex]\frac{11 !}{4!(11-4)!}[/tex] * 4 !
= [tex]\frac{11!}{4!7!}[/tex] * 4 !
= [tex]\frac{11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1*7*6*5*4*3*2*1}[/tex] * 4 !
We can cancel the coefficients,
= [tex]\frac{11*10*9*8}{4*3*2*1}[/tex] * 4 !
= [tex]\frac{7920}{24}[/tex] * 4 !
= 330* 4 !
= 330 * 4*3*2*1
= 7920
Therefore,
We can conclude that the number of possible schedules for next semester could she make is 7920.
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meghan and sara are on their way to disneyland. they travel 65 mph (miles/hour) for 2.2 hours and then stop for a 45-minute lunch break. after lunch they travel 55 mph for another 3.8 hours until they reach disneyland. what is their average speed, in miles/hour, for the entire duration of the trip? (round your answer to the nearest whole number. d
Answers
The average speed for the entire duration of trip is 52 mph.
The total distance traveled by an object in a given time frame is defined as its average speed. It is computed by dividing the entire distance traveled by the total amount of time spent.
Given,
S1 = 65 mph , T1 = 2.2 hours
S2= 0 mph (during lunch break) , T2 = 45 min = 45 / 60 hour
=0.75 hour
S3= 55mph , T3 = 3.8 hours
Therefore, S avg =(S1T1 + S2T2 + S3T3)/(T1 + T2 + T3)
=(65×2.2 + 0 ×0.75 + 55×3.8)/(2.2 + 0.75 + 3.8)
= 52.148 mph
The average speed for the entire duration of trip is 52 mph.
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Use technology to find an equation of the line of best fit for the data. Round the slope to
the nearest tenth and the y-intercept to the nearest integer.
X=0,1,2,3,5,6,7
Y=-8,-5,-1,-1,2,5,8
Answers
The equation of the line of best fit for the data is given as follows:
y = 2.1x - 7.
How to obtain the equation for the line of fit?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
(as there are multiple types of regression).
From the text in this problem, the points of the data-set are given as follows:
(0, -8), (1, -5), (2, -1), (3,-1), (5, 2), (6,5), (7,8).
Inserting these points into the linear regression calculator, the equation is defined as follows:
y = 2.1x - 7.
(rounding the slope to the nearest tenth and the y-intercept to the nearest integer.).
The slope for the line is of 2.1 and the intercept is of -7, following the slope-intercept definition of a linear function.
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At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Saturday, 134 tickets were sold for a total sales of $1063.20. How many adult
tickets were sold that day?
Answers
The number of adult tickets is 62.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of child tickets = x
Number of adults tickets = y
We can make two equations.
x + y = 134 ______(1)
x = 134 - y ______(2)
6.50x + 9.60y = 1063.20 _______(3)
Putting (2) in (3) we get,
6.50(134 - y) + 9.60y = 1063.20
871 - 6.50y + 9.60y = 1063.20
871 + 3.1y = 1063.20
3.1y = 1063.20 - 871
3.1y = 192.2
y = 192.2/3.1
y = 62
Now,
x = 134 - y
x = 134 - 62
x = 72
Thus,
72 child tickets.
62 adult tickets.
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five adults and five children randomly sit in ten seats that are equally spaced around a circle, such that one person sits in each seat. what is the probability that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter?
Answers
The probability is [tex]\frac{2}{5}[/tex] ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.
What is probability ?
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Have given,
Five adults and five children,
Total seats are available 10
P(an adults apposite of a children) = [tex]\frac{2}{10}[/tex]
P(a children apposite of a children) = [tex]\frac{2}{5}[/tex]
We know that ,
P(True) = 1 - P(Not True)
P(True) = [tex]1 - (\frac{2}{10} + \frac{2}{5} )[/tex]
P(True) = [tex]\frac{2}{5}[/tex]
The probability is [tex]\frac{2}{5}[/tex] ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.
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please please please help i’m desperate!!!!
Answers
Answer:
parallel
Step-by-step explanation:
You want to know the parallel/perpendicular status of the lines described by the equations ...
2x -5y = 25y = 2/5x +3Parallel linesParallel lines have the same slope. The slope is the coefficient of x when the equation is written in the form ...
y = mx +b
as is the second equation.
The first equation can be put in that form by solving for y.
2x -5y = 25 . . . . . . given equation
2x -25 = 5y . . . . . . add 5y -25
2/5x -5 = y . . . . . . divide by 5
The coefficient of x (slope) is 2/5, same as the second equation.
The lines are parallel.
__
Additional comment
Your graphing calculator can help you figure this out, too. The graphed lines are parallel.
Tickets for the school play cost $7 each. Each member of the cast gets 1 free ticket for a family member. For the run of the play, 210 tickets are collected, including all the free tickets, and the box office makes $1,358 from ticket sales. The equation that models this situation is
7(210 – c) = 1,358
where c is the number of cast members.
How many cast members are in the play?
I'm kinda stuck
Answers
The number of cast members are in the play given the equation is 16 cast members
How many cast members are in the play?7(210 – c) = 1,358
where,
The number of cast members = c7(210 – c) = 1,358
open parenthesis
1,470 - 7c = 1,358
Subtract 1,470 from both sides
- 7c = 1,358 - 1,470
- 7c = -112
divide both sides of by -7
c = -112 / -7
c = 16
Therefore, there are 16 cast members in the play.
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Elijah bought stock in a company two years ago that was worth a dollars. During the
first year that he owned the stock, it increased by 35%. During the second year the
value of the stock increased by 11%. Write an expression in terms of a that represents
the value of the stock after the two years have passed.
Answers
Answer:
x + .35X - .11(x - .35x)
Step-by-step explanation:
Let x = the original price of the stock.
x + .35x This is first year
-.11( x + .35x) is the second year
x + .35X - .11(x - .35x)
A triangle with coordinates (1,1) (4,2) (3,5) is translated three units down and five units to the left
Answers
A triangle with coordinates (1,1) (4,2) (3,5) is translated three units down and five units to the left. New coordinates will be (-4,-2), (-1,-1),(-2, 2).
Define translation.A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given
A triangle with coordinates (1,1) (4,2) (3,5)
The value of a coordinate is impacted by translations left or right but not by translations up or down or left or right.
We multiply all of the numbers by 3 since we are translating the entire triangle down three units.
Additionally, we are converting the entire triangle to left-to-right units of five, thus we will multiply all values by 5.
A = (1 - 5, 1 - 3)
B = (4 - 5, 2 -3)
C = (3 - 5, 5 - 3)
New coordinates will be:
A = (-4,-2)
B = (-1,-1)
C = (-2, 2)
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Which tatement i not true?
B. All counting number are rational number. D. Zero i not a rational number. C. A mixed number i a rational number. A. The et of rational number include the et of integer
Answers
Answer: D. Zero is not a rational number
Step-by-step explanation:
[tex]0=\frac{0}{1}[/tex]. Thus, by definition, zero is rational.
Ramón makes nectar for a hummingbird feeder by mixing 8 cups of water with 2 cups of sugar. Tiffany makes nectar by mixing 9 cups of water with 3 cups of sugar. Whose nectar is more sugary? Explain.
Answers
Answer: Tiffany
Step-by-step explanation: Ramon Ratio 8:2 can be reduced to 1 cup of sugar every 4 cups of water. Tiffany Ration is 9:3 which is reduced to 1 cup of sugar every 3 cups of water.
A website offers a coupon to 50\%50%50, percent of its visitors, selected at random, each day. Yasemin visits the website for 444 days. What is the probability that yasemin will not be offered a coupon on at least one of the days she visits the website? round your answer to the nearest hundredth. P(\text{at least one day without coupon})=p(at least one day without coupon)=p, left parenthesis, start text, a, t, space, l, e, a, s, t, space, o, n, e, space, d, a, y, space, w, i, t, h, o, u, t, space, c, o, u, p, o, n, end text, right parenthesis, equals.
Answers
The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website will be;
⇒ 0.9375
What is mean by Probability?The term probability refers to the likelihood of an event occurring
Given that;
The probability that a visitor is offered a coupon (p) = 50%
Now,
Since, The probability that a visitor is offered a coupon (p) = 50%
Hence, The probability that he gets coupon all 4 days is,
⇒ p (4) = p⁴
⇒ p (4) = (50%)⁴
⇒ p (4) = 0.0625
Hence, By using the complement rule, the probability that he is not offered a coupon at least one day is,
⇒ p' = 1 - 0.0625
⇒ p' = 0.9375
Thus, The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website = 0.9375
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