A relation between sets is referred to as a function when there is exactly one output for each input.
Which statement is true?A function is a relation where each output value is assigned to exactly one input value.The domain of a function is the set of all output values, or y-values, for which the function is defined.The range of a function is the set of all input values, or x-values, for which the function is defined.To write the equation y = ax + b in function notation, substitute f(x) for y.?To write the equation y = ax + b in function notation, substitute f(x) for y
The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.
y=ax+b can be written in function notation by replacing y with f(x).
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in a large population, 71% of the people have been vaccinated. if 5 people are randomly selected, what is the probability that at least one of them has been vaccinated?
The probability that AT LEAST ONE of them has been vaccinated is 0.9979.
Vaccination rate among the population: p = 0.71
Sample size = 5
Assume that X people have received vaccinations.
P(atleast one) = 1 - P (none)
By the binomial distribution, now,
P(none)= (⁵₀) 0.71° (1-0.71)⁵⁻⁰
= 1 × 1 (0.29)⁵
= 0.0021
So,
P(at least one) therefore equals 1 - P (none)
= 1 - 0.0021
= 0.9979
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.9979
An explanation of probability theory?
Probability theory is a mathematical discipline that analyzes random encounters. A random event's outcome cannot be predicted before it occurs, but it could take any of several various forms. The end outcome is thought that it was determined by chance.
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How do you do order of operations?
i need help, due today please lol
thank u
A: Domain: (1.25,0) Range: (0,1)
B: Domain: −2≤x≤2 Range: −2≤y≤3
C: Domain: −2≤x≤3 Range:−2≤y≤2
D: Domain: −4≤x≤4 Range: −4≤y≤4
E: Domain: −2≤x≤2 Range: −3≤y≤3
Answer:
The answer is B, Domain: −2≤x≤2 Range: −2≤y≤3
Step-by-step explanation
a container with 3 1 2 gallons of weed killer can spray 2 1/4 lawns. how many gallons would it take to spray 2 lawns
Answer:
Step-by-step explanation:
my answer is 3 1/9 gallons
Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.
No. of gallons required to spray 2 lawns = x
So, first of all we should divide 3 1/2 with 2 1/4
now this division we should equalise with x/3
(3 1/2 ÷ 2 1/4) = x ÷ 2
after doing this we have got the value of x = 28/9 or 3 1/9
hence, 3 1/9 gallons is required to spray 2 lawns.
So . this question is related to capacity.
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REWRITE USING SET BUILDER NOTATION
a) the set of natural numbers less than 10
b) the set of integers greater than -7 but less than 7
c) the set of whole numbers greater than zero but less than or equal to 20
Answer:
See explanation
Step-by-step explanation:
n=number
a. { n ∈ N | n<10 } ==> N denotes natural numbers
b. { n ∈ Z | -7<n<7 } ==> Z denotes integers
c. {n ∈ W | 0<n<=20 } ==> W denotes whole numbers
The coordinate -5 has a weight of 3 and the coordinate 3 has a weight of 1. Find the weighted average
The weighted average of the given coordinates with given weights is 3.
We are given the following information:The coordinate -5 has a weight of 3.The coordinate 3 has a weight of 1.The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.Now, we are given the formula to calculate the weighted average as,The weighted average is the sum of the weighted values divided by the sum of the weights.Thus,The weighted average is [(-5 * 3) + (3 * 1)]/(3 + 1).The weighted average is (-15 + 3)/4.The weighted average is -12/4.The weighted average is -3.We will take the absolute value of the weighted average, which is 3.To learn more about the weighted average, visit :
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Show how to convert 83 1/3%
Answer:
5/6
Step-by-step explanation:
83 1/3% =
= (83 + 1/3)% <------- the mixed numeral 83 1/3 is the same as 83 + 1/3
= (249/3 + 1/3)% <---- to add 83 + 1/3, use the common denominator 3
= 250/3 % <---- the sum of 83 and 1/3 is 250/3, but this is still percent
= (250/3) / 100 <---- to change percent to decimal, divide percent by 100
= 250/300 <---- now we need to reduce this fraction
= 25/30 <---- divide numerator and denominator by 10
= 5/6 <---- divide numerator and denominator by 5
What do I divide by ?
Answer:
you did it wrong
Step-by-step explanation:
you add the 2 negatives to qual -5 then divide both sides by -5
Should be -1.6
Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only 0. 5. What does bob conclude?.
Bob after downloading the valid data set from the internet and calculating the correlation values as 0.5 concludes that as the number of bedrooms in a home increases its selling price also increases.
This happens because as there is an increased demand for the number of bedrooms in a home there should be enough supply in the market to fulfill the requirements. So, there should be a surplus of beds in the market and for that the selling price increases to maintain the surplus.
The law of Demand states that as the demand for a particular commodity or a product increases its price also increases. The above example of Bob gets verified according to the Law of Demand.
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find the larger angle given the following: the angles are complementary. the smaller angle is equal to 1⁄3 of the larger angle.
The larger angle is 67.5°.
When two angles add up to 90 degrees, they are complimentary.
Let L be the larger angle and S be the smaller angle
Given, smaller angle is 1/3 of larger angle
Thus, S = L/3
But, L + S =90
L + (L/3) =90
4L/3 = 90
4L = 270° .Therefore, L = 270 / 4 = 67.5°.
Thus the larger angle is 67.5°.
Which angle is wider?
Right angles (90 degrees), acute angles (smaller than a right angle), and obtuse angles are the three types of angles that we can recognize (larger than a right angle).
The vertex of an angle is the position where two factors come contact. The Latin word "angulus," which means "corner," is where the term "angle" originates. Angles Neighboring Us An angle can be found in many everyday objects, including fabric hangers, arrowheads, scissors, partially open doors, pyramids, table edges, ruler edges, etc.
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A road sign in Canada gives the distance to Toronto as 140 kilometers. What is this distance to the nearest mile?
Converting 140 kilometers to miles, the distance from a road sign in Canada to Toronto is 87 miles.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
From the problem, we must convert the distance of 140 kilometers into miles.
Converting kilometers to miles, we must use the conversion
1 kilometer = 0.621371 mile
140 kilometers = 140 (0.621371 mile)
140 kilometers = 86.992 miles
Rounding off to the nearest mile,
140 kilometers = 86.992 miles = 87 miles
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Find the general indefinite integral. (use c for the constant of integration.) 8 x9 dx
[tex]$$\begin{aligned}&\text { (1) } \int \sqrt[8]{x^9} d x=\int x^{9 / 8} \cdot d x=\frac{(x)^{\frac{9}{8}+1}}{\frac{9}{8}+1}+c=\frac{8 x^{17 / 8}}{17}+c\\\\&\Rightarrow \int \sqrt[8]{x^9} d x=\frac{8}{17} \sqrt[8]{x^{17}}+c,(c \text { is constant })\\[/tex]
What is indefinite integral?In the previous two chapters, we were given a function and asked to determine its derivative. We are now going to reverse the situation, beginning with this part. We now want to know what function we discriminated in order to obtain the function. This previous example has two implications. The initial goal was to encourage you to start considering solutions to these difficulties. First, it's crucial to keep in mind that we are only asking what we differentiated to obtain the specified function. The second thing to keep in mind is that we could potentially employ an endless number of different functions, and they would all be different by a constant.
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Homework help please
Answer:
Step-by-step explanation:
180
See attachments!
Paolo wrote the following equation for the perimeter of a rectangle.
Which equation is equivalent to the equation Paolo wrote?
Answer:
p = 2 + l w
Step-by-step explanation:
Matthew scored −33 points in his turn at a video game. In Genevieve's turn, she scored fewer points than Matthew.
Use absolute value to describe Genevieve's score as a loss.
Genevieve lost more than 33 points in her turn at a video game.
Absolute value describes a number's distance from zero on the number line without taking direction into account. A number's absolute value is never negative.
Given that Matthew's score is −33 points.
In Genevieve’s turn, she scored lesser points than Matthew in her turn at a video game.
Let y be the points scored by Genevieve.
Then we have y < -33
⇒ | y | > | -33 | (Using absolute value on both sides)
⇒ | y | > 33
The absolute value of y can be any number greater than or equal to 34, while Genevieve's point in her video game turn is less than or equal to -34.
Therefore, Genevieve lost more than 33 points in her turn at a video game.
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Help me with this question please
Answer: (1,0)
Step-by-step explanation:
Point is located on the x-axis
Hence, y=0
Thus, (1,0)
Approximately 33 comma 200 citizens of a country died in automobile accidents in 2015. Express this toll in deaths per day
The toll of death per day in 2015 is 91.
We are given the approximate number of people who died in year 2015, which is 33,200. Now, as per the known fact, the year 2015 has 365 days. So, we can easily calculate the toll in deaths per day by performing division.
Number of deaths in 365 days = 33,200
Number of deaths each day = 33,200 ÷ 365
Performing division to find the number of deaths per day
Number of deaths each day = 90.96
Rounding off the digits to find number of deaths each day
Number of deaths each day = 91
Hence, this toll in deaths per day is 91.
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Find the LCM of
[tex]8 {a}^{2} {b}^{3} {f}^{4} [/tex]
and
[tex]3abg[/tex]
The LCM of 8a²b³f⁴ and 3abg is 24a²b³f⁴g.
What is defined by the term LCM?LCM is an abbreviation for "Least Common Multiple." The smallest multiple which two or even more numbers have in common is defined as the least common multiple.
Consider the following two integers: 2 and 3.2 multiples: 2, 4, 6, 8, 10, 12, 14....Multiples of three: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on.The numbers 6, 12, and 18 are all common multiples of 2 and 3. The smallest number is six. As a result, the least common multiple of 2 and 3 is 6.The smallest number divisible both by numbers is the LCM of two numbers.Figuring the lowest common denominator (LCD) of 2 or even more fractions is a common application of LCM.
It is useful for adding, subtracting, as well as compare different or more fractions.
For the given question, the two numbers are given as; 8a²b³f⁴ and 3abg.
The least common multiple which will divide both the numbers are; all the values with their highest power.
LCM = 24a²b³f⁴g.
Thus, the LCM is found as 24a²b³f⁴g.
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The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points? 2 3 6 9
Solution :
the differences in the X coordinates and Y coordinates:
The x-coordinate tells you how many steps you have to take to the right (positive) or left (negative) on the x-axis. And the y-coordinate tells you have many steps to move up (positive) or down (negative) on the y-axis.
Given : difference in the x-coordinates of two points is 3
the difference in the y-coordinates of the two points is 6
The slope of the line :
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Tan θ = Δy/Δx can also represent the slope of the line
So, tan θ to be the slope of a line.
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The letter ‘ m’ usually represents the slope.
If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:
Slope,
m = Change in y-coordinates/Change in x-coordinates
m = (y2 – y1)/(x2 – x1)
Therefore, based on the above formula, we can easily calculate the slope of a line between two points.
In other terms, the slope of a line between two points is also said to be the rise of the line from one point to another (along the y-axis) over the run (along the x-axis). Therefore,
Slope, m = Rise/Run
Use the slope formula.
the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or
the change in the y values over the change in the x values.
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2. It does not matter which point you label as the first point and which you label as the second. Don't forget to include the correct sign of each value. Simplify to get the value of the slope. Check the your answer by graphing the points and verifying that the vertical distance between the two points and the horizontal distance between the two points is captured by the numerator and denominator of the slope
Ponit (2,3) & (6,9)
Slope of Line = y2-y1/x2-x1
= 9-3/3-2
=6/1
Slope of Line = 6
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a traffic study has shown that the probability that 55 cars will pass over a small bridge in a 4-4-minute period is 0.16.0.16. what are the odds against exactly 55 cars passing over the bridge in that time?
For each pair of figures below, choose how they are related.
Translation
Reflection
Rotation
None of these
1 t
Translation
Reflection
O Rotation
None of these
M
1
O Translation
O Reflection
Rotation
O None of these
S
Translation
Reflection
O Rotation
O None of
Figure 1, 2,3and 4 are the cases of rotation, reflection, not the case of any options and rotation respectively
Figure 1 is the case of rotation as the two figures are of exact same size and same shape and are rotated at a angle
Figure 2 is the case of reflection as both the figures are mirror reflection of each other and are of exact same size and same shape
Figure 3 is a case of neither transition, refection nor rotation as the two figures are not of exact same size or shape
Figure 4 is a case of rotation as the two figures are of exact same size and same shape and are rotated at a angle
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The producers of a concert are going to use
television screens to show larger-than-life images
of the band using a scale of 2 inches = 3 feet.
The lead singer of the band is 6 feet 2 inches tall,
now tall will the singer be on the screen?
144 feet
111 fost
63 feet
9 feel
Answer:
111 feet
Step-by-step explanation:
The scale used to blow up the the lead singer (and the band) is
2 in : 3 feet
==> 1 in : 3/2 feet
Let X be the height of the band leader in inches and the blown-up image be Y
X = 6' 2" = 6 x 12 + 2 = 72 + 2 = 74"
Then Y = (3/2) x H
Y = (3/2) x 74" = 111 feet
There are 10 rulers and 25 packages of tape to be boxed. Each box must contain only one type of item, and every item must be boxed. What is the most that can be placed in a box so that each box has the same number of items?
A. 2
B. 5
C. 10
D. 15
A box can hold up to 15 items ensuring that every box contains the same quantity of items.
Given there are 10 rulers and 25 packages of tape.
Only one type of item may be present in each box.
Simply put, probability is the likelihood that something will occur.We can discuss the chance or likelihood of various outcomes when we don't know how an event will turn out. Statistics is the study of events that follow a probability distribution.The chance of an event happening is equal to 1 if there is no doubt about its likelihood. In other words, there is a 1 in the chance of an event. An event's probability is zero if there are no chances that it will occur.
In the event when 25 packages of tape and 10 rulers have to be placed in a box, the answer is 25 - 10 = 15.
then only 15 items that can be placed in a box so that each box has the same number of items.
Hence we get the desired result.
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Pierce sold six gallons of paint for $75.78. What was the price per gallon of the paint?
PLEASE I NEED HELP!! URGENT!!!
please don't put in any spam answers :/
Answer:
hope this helped
Step-by-step explanation:
fluid ounces row 1) 64, row 2) 2
Cups row 2) 14
quarts row 1) 2
Spam Answer- Will the Wise
Venus has switches at the top and bottom of her stairs to control the light for the stairwell. She notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.
b. If both the upstairs and downstairs switches are in the up position, will the light be on?
Explain your reasoning.
If both the upstairs and downstairs switches are in the up position, the light will be off
How to determine if the light will be on?The given parameters are
Switches = 2 i.e. top and bottom
Also, we have:
When the upstairs switch is up and the downstairs switch is down, the light is turned on.
This means that the light is only on when the upstairs switch is up and the downstairs switch is down
Any other position of the switches, the light is off
From the question, we have
Both the upstairs and downstairs switches are in the up position
This is different from the required position to on the light
Hence, the light will be off
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Hiking up a mountain, you notice that the air temperature drop 10°C for every 1,00 meters in elevation. The temperature was at 68°F at 2,000 meters in altitude. If the hiker is now at altitude of 5,000 meters, what is the current temperature? Show your work.
Answer:
you're given a *rate* of decrease and then the *extent* of the "cause". SO the rate is 10C/1000m (right? You understand why this is a rate? You go 1000m up, the temperature drops 10C. And it happens continually, bit by bit, as you climb. That's a rate!
But, you don't stop with climbing just 1000m: you climb 1000m twice *more*. So, how much has the temperature dropped in all, by the end?
You really should be able to put this together as 10C/1000m x 3000m = result. It will be in units of (degrees) C.
Now, finish the problem and get down the mountain, before you freeze (also, winds kick up more on mountains -- a double whammy).
Step-by-step explanation:
Una compañía de teléfonos celulares ofrece dos planos de mensajes de texto la gente que usa plan a pagar 10 centavos por cada mensaje enviado o recibido la gente que usa Plan B paga $12 por mes y paga 2 centavos adicionales por cada mensaje enviado o recibido escribe una disculpa desigualdad que representa el hecho de qué los más barato que alguien o sea plan a que al plan de usar es para los representar la cantidad de mensajes de texto que envié
Using linear functions, it is found that:
Plan A is cheaper for less than 150 messages.Plan B is cheaper for more than 150 messages.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For each plan, we have that:
The slope is the cost per message.The intercept is the fixed monthly cost.Hence the cost functions for sending x messages are given as follows:
A(x) = 0.1x.B(x) = 12 + 0.02x.The costs will be the same when:
A(x) = B(x)
Hence:
0.1x = 12 + 0.02x
0.08x = 12
x = 12/0.08
x = 150.
Due to the lower intercept of plan A, and the lower cost per message of plan B, we have that:
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Matt had 6 books to read. Each book has 11 pages. He has already read 60 pages. How many pages does he have left to read? The answer
44. the total cost for tuition plus room and board at state university is 2,584 dollars. tuition costs 704 dollars more than room and board. what is the tuition fee?
If total cost for tuition plus room and board at state university is 2,584 dollars and tuition costs 704 dollars more than room and board, then the tuition fees is 1644 dollars
Given,
The total cost for tuition plus room and board = 2584 dollars
Consider the cost for room and board as x
Tuition costs 704 dollars more than room and board.
Therefore the tuition fees = 704+x
Then the total cost = Cost for tuition fees+ Cost for room and board
2584 = (704+x)+x
2584= 704+2x
2x= 1880
x= 940 dollars
Then the tuition fees = 704+x
=704+940
=1644 dollars
Hence, if total cost for tuition plus room and board at state university is 2,584 dollars and tuition costs 704 dollars more than room and board, then the tuition fees is 1644 dollars
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