The probability that a randomly selected person is either a student opposed to the change or a faculty member who has an opinion either for or against is given as follows:
31/88.
How to calculate the probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of outcomes in this problem is given as follows:
176 people.
The desired outcomes are given as follows:
Student opposed to the change: 41.Faculty member who is either for or against: 6 + 15 = 21.(these outcomes are both calculated from the data given by the table).
Hence the probability is calculated as follows:
p = (41 + 21)/176 = 62/176 = 31/88.
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What is the least common multiple mulitiple of 8 and 12
Answer: 1728
Step-by-step explanation:
multiples of 8 = 1,2,4,8
multiples of 12= 1,2,3,4,6,12
when a confidence interval for the difference of two population means contains 0, what can be concluded?
The required conclusion for confidence interval for the difference of two population means contains 0 has no difference.
What probability distribution?Probability dispersion help to display our reality, empowering us to get evaluations of the Probability that a specific occasion might happen, or gauge the changeability of event. They are a typical method for depicting, and perhaps anticipate, the Probability of an occasion.
According to question:In the event that your certainty stretch for a distinction between bunches incorporates zero,
it means that assuming you run your examination again you have a decent possibility tracking down no contrast between gatherings.
So, There will be no difference between both the experiments for the same.
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7. A farmer wants to start raising cows, horses, goats, and sheep, and desires to have a rectangular pasture for the animals to graze in. However, no two different kinds of animals can graze together. In order to minimize the amount of fencing she will need, she has decided to enclose a large rectangular area and then divide it into four equally sized pens by adding three segments of fence inside the large rectangle that are parallel to two existing sides. She has decided to purchase 7500 ft of fencing. What is the maximum possible area that each of the four pens will enclose?
Having a rectangular pasture for the animals to graze in is something a farmer wants in order to start growing cows, horses, goats, and sheep. She has decided to purchase 7500 ft of fencing. 1875 square feet is the maximum possible area that each of the four pens will enclose.
The maximum possible area of each pen is 1875 square feet. To calculate this, first calculate the total area of the large rectangle that the farmer is enclosing. To do this, multiply the total length of the fencing (7500 feet) by the width of the fence (1 foot). This gives us 7500 square feet as the area of the large rectangle.
Next, divide the area of the large rectangle by 4 to get the area of each pen. This gives us 1875 square feet as the maximum area of each pen.
Total Area of Large Rectangle = 7500 ft x 1 ft = 7500 sq ft
Area of Each Pen = 7500 sq ft / 4 = 1875 sq ft
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Which is an x-intercept of the graphed function? Group of answer choices (0, 4) (–1, 0) (0, –1) (4, 0)
please hurry i will give brainlyest (how ever you spell that lol)
Answer:
(4,0)
Step-by-step explanation:
(x, y)
Putting these points in a graph lends on the x-intercept, the right side of the graph
ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
Answer: 31.99$ or 32$
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 39.99 × 20/100
Discount = 39.99 x 0.2
You save = $8.00
Final Price = Original Price - Discount
Final Price = 39.99 - 7.998
Final Price = $31.99
Answer:
x/39.99 is the same as 20%/100% so you would cross multiply 39.99 x 20 then divide by 100 which is 16.8 then add 39.99 - 16.8 to get $23.19.
what adds to be -24 and multiplies to be 23
Answer:
1
Step-by-step explanation:
Identify the slope for the given line. What does the slope represent?
Answer:
25 m/s²
acceleration
Step-by-step explanation:
m = (100 - 25)/(4 - 1) = 75/3 = 25 m/s²
The slope is the rate of change in velocity as a function of time.
The rate of change of velocity is called the acceleration.
Write (-2^6) as repeated addition and evaluate. Is the answer negative or positive?
Answer:
to write (-2)^6 as repeated addition, we can write it as -2 + -2 + -2 + -2 + -2 + -2 + -2. When we evaluate this expression, we get -128. Therefore, the answer is negative
The following year Tiffany gets $25 and 1 box of candy. Todd gets $20 and 5 boxes of candy. Their grandmother assures them that she spent the same amount on each gift. What is the price of a box of candy?
The price of a box of candy will be $1.25.
What is an expression?Expression in math's is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Tiffany gets $25 and 1 box of candy.
And, Todd gets $20 and 5 boxes of candy.
Now,
Since, Tiffany gets $25 and 1 box of candy.
And, Todd gets $20 and 5 boxes of candy.
Let price of box of candy = x
So, We can formulate;
⇒ $25 + x = $20 + 5x
Solve for x as;
⇒ $25 - $20 = 5x - x
⇒ $5 = 4x
⇒ x = 5/4
⇒ x = $1.25
Thus, The price of a box of candy = $1.25
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Does dilation affect driving?
Yes, dilation affects the driving.
When you get your eyes dilated, your doctor uses special drops to open your pupils wide. This let them get a look at your whole eye, including all the nerves and blood vessels at the back, to check for signs of diseases
When dilated, the pupil is unable to get smaller, and thus block out light in bright areas. This causes glare in your vision so you can't see things clearly.
The drops also make it difficult to focus on things up close, but usually don't affect distance vision.
So, Your eyesight will be impaired, so some experts say you should play it safe and not get behind the wheel will leds to affecting your driving
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Quadrilateral mnop was dilated with the origin as the center of dilation to create quadrilateral m'n'o'p'. The quadrilateral was dilated using a scale factor of 1. 5. The coordinates of the vertices of quadrilateral mnop are given. What are the coordinates of n'?.
The coordinates of N' will be (4.5, 5.25)
The picture is given by the product of the corresponding point on the preimage and the scale factor, with the center of dilatation at the origin.
The origin is the center of dilatation of a quadrilateral MNOP.
The picture that results from the dilatation of MNOP = M'N'O'P'
The dilation scale factor is 1.5.
N's coordinates in MNOP = N (3, 3.5)
The coordinates of a point (x', y') on the picture after dilatation with the center at the origin, of the preimage (x, y) by a scale factor are given below;
(x', y') = Scale factor × (x, y)
Which gives;
The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)
The coordinates of N' = (4.5, 5.25)
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two boxes of Apples the sum of their weight is 54 kilograms the first has 12kg more than the second so the number of kilograms in the second box is....... kg.
Answer:
If the first box of apples weighs 12 kilograms more than the second box, then the weight of the second box is 54 - 12 = <<54-12=42>>42 kilograms.
You roll two tandard number cube. What i the probability that the un i even, given that at leat one number cube how a 2? What i the probability that at leat one number cube how a 2, given that the un i even?
The probability that at least one number cube show a 2, given that the sum is even is 5/36 .
In the question ,
it is given that ,
two standard cube are rolled ,
we have to find the probability that at least one number cube show a 2, given that the sum is even ,
we know that on rolling two dice ,
the total number of outcomes is = 36 ,
the outcomes in which one cube shows 2 are ,
{ (1,2) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (2,1) , (3,2), (4,2) , (5,2) ,(6,2) }
and the outcomes in which the sum is even is :
{ (2,2) , (2,4) , (2,6), (4,2) , (6,2) }
So , the number of favorable outcomes is = 5 ,
So , the probability is = 5/36
Therefore , the required probability is = 5/36 .
The given question is incomplete the complete question is
You roll two standard number cube . What is the probability that at least one number cube show a 2, given that the sum is even ?
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You make 20 bracelets in 5 hours. How many bracelets do you make per hour?
Answer:
4
Step-by-step explanation:
The answer is 4.
[tex]20 / 4=5[/tex]
What is Step 2 of comparison shopping?
Step 2 of comparison shopping is to assess the purchase objectively.
Comparison shopping may be defined as a method of studying and understanding various product costs prior to making a purchase. Retailers typically use comparison shopping to determine the price at which their rivals are offering a given product on the market. Nowadays, the majority of consumers purchase their goods online, making comparison shopping a sort of trend.
As a result of this growing tendency, numerous online shopping portals have emerged. Some of the most well-known online retailers include Flipkart, Myntra, and Amazon. Because they offer many product categories in each part, these websites can be categorized as a type of online price comparison website.
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Which function has a domain of all real numbers?
A. y = (1 + 2)
B. y = -2(3r)
C. y = (20) - 7
D. y = - +
+5
On solving the following question, the function that has domain of all real numbers is - [tex]y = -2(3X)^{\frac{1}{6} }[/tex]
What are real numbers?All numbers that we can recall are real numbers except complex numbers. The union of the set of rational numbers and the set of irrational numbers is the set of real numbers denoted by the symbol R.
What are rational numbers?A rational number is any number that can be expressed as the ratio p/q. The fraction's denominator is denoted by "q," while the numerator is represented by "p." "q" is not zero.
Both 5 and 1/2 are actual figures. X also defines a number, but since it's negative, it's an integer because it's rational.
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1 what is recursion? a problem solution defined in terms of a list. a problem solution defined without function calls. a problem solution defined in terms of itself. a problem solution defined iteratively.
Recursion is defined as "defining an issue in terms of itself" or "solving a problem via the solution of smaller subproblems (smaller versions of the same problem)". This concept is frequently utilized in algorithms and data structures to tackle difficult issues by partitioning them into simpler ones.
What is recursion, according to this image? a list-based definition of a problem-solving approach. a solution to a problem that does not need using functions. a solution to a problem that is specified by itself. an incrementally specified solution to a problem.
A straightforward illustration of a recursive function is the factorial, which multiplies a number by itself while lowering it slowly. Recursive functions can relate to a wide variety of self-referencing looping operations, such as those where n = n + 1 given an operational range.
Hence recursion is a problem solution defined in terms of itself.
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what is 4 + X ≤ - 28?
Answer:
x≤−32
Step-by-step explanation:
Which is the graph of f/x x2 2x 3?
THE GRAPH IS ATTACHED ALONG WITH THIS
The parabola has a minima, vertex and a y-intercept.
Given,
Since the equation is quadratic, the parabola has a vertex. To find it, do as follows:
x = -b/2a
Where:
a=1
b=-2
Then:
x = -(-2)/ 2 × 1 = 1
Substitute this into the equation to obtain y:
y = 1² - 2 × 1 + 3 = 2
The point of the vertex is (1,2)
The sign of a is positive, therefore, the parabola has a minimum.
Substitute x=0 into the equation to find y-intercept:
y = 0² - 2 × 0 + 3
y = 3
You know that this point is (0,3)
Recognize that the parabola has a minimum, a vertex, and a y-intercept, and that you may graph it as shown in the accompanying image.
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What type of number is 15.301i?
Choose all answers that apply:
Real
Imaginary
Complex
The number 15.031i is an Imaginary number.
What is a complex number?
Complex numbers are those that are expressed as a + ib, where a and b are actual numbers and i is a fictitious number called a "iota." i has the value (√-1).
What is a real number?
A real number is a number that can be used to represent a continuous one-dimensional quantity in mathematics, such as a temperature, duration, or distance. Continuous in this context suggests that values may vary by arbitrary little amounts. An infinite decimal expansion can nearly always represent any real number.
Given number is 15.031i.
Iota is denoted by i which is an imaginary number.
Since no real number is not added with given number, it is not a real number.
Since iota presents in the given number, it is an imaginary number.
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What is the quotient of 10/16 ÷ 5/16?
The quotient would be 2.
Answer:2
Step-by-step explanation:
10/16 divided 5/16. Keep 10/16, switch division to multiplication/times turn 5/16 to 16/5 which you will get 160/80 and the answer will be 2 because 80x2 is 160 so 160/80 will be 2. You'll thank me.
a wooden artifact from an ancient temple has a 14c activity of 38.0 counts per minute as compared with an activity of 58.2 counts per minute for a standard at zero age. the half-life of 14c is 5715 years. what is the age of the artifact?
The age of the artifact is 3523.77 years.
What is radioactive decay?
The process of radioactive decay is how an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive.
Here,
The half-life of the reaction is defined as the time required by a substance to reach half its initial concentration. It is represented by t(1/2)
All radioactive decay processes follow the first-order reaction.
The equation for the half-life for first-order reaction follows:
t(1/2) = 0.693/k....(1)
where,
k = rate constant of a first-order reaction
Given value:
t(1/2) = 5715 years
Put the value of t in equation (1), and we get
k = 0.693/5715
k = 1.21×10⁻⁴yr
The integrated rate law expression for first-order reaction follows:
t = 2.303/k×㏒(a/(a-x))
where,
t = time period
a = initial concentration of the reactant = 58.2 counts per minute
(a-x) = Concentration of reactant left after time t = 38.0 counts per minute
k = rate constant of a first-order reaction
Put the values in the equation and we get
t = 2.303/1.21×10⁻⁴㏒58.2/38
t = 3523.77 years.
Hence, the age of the artifact is 3523.77 years.
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Helppppppppppppppppppppppppp
A i think maybe
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suppose 20% of all emergency room patients have broken bones. of the next fifteen patients to arrive, what is
The probability that none of the patients have broken bones is 0.0352.
What is binomial distribution?
A popular probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters. It totals the number of trials when each trial has an equal chance of producing a particular result. By dividing the quantity of independent trials by the number of successes, one can calculate the value of a binomial.
Let X has binomial distribution with n = 15 and p = 0.20
The PDF of the distribution can be written as:
P(X=x) = nCx(p)x (1-p)n-x
Probability for 0 patients have broken bones can be calculated as:
P(x=0) = 15C0(0.20)0 (1-0.20)15-0
P(x=0) = 0.035184 = 0.0352
Therefore, the probability is 0.0352
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Complete Question
Suppose 20% of all emergency room patients have broken bones. of the next fifteen patients to arrive, what is the probability that none have broken bones?
Deb is searching online for airline tickets. Two weeks ago, the cost to fly from Denver to Hartford was $250. Now the cost is $355. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
1/ 42% increased
2/ 62%
Step-by-step explanation:
Let's find the answer to the first question
Take 355 divided by 250, then times 100% = 142%
142% - 100% = 42% increase
So the percent increase is 42%
Now let's find the answer to the second question
First, find the total cost by 355 + 50 = $405
Take 405 divided by 250, then times 100% = 162%
162% - 100% = 62%
It increases by 62% if the airline charges ann additional $50 baggage fee!
Ms.Miller decides to give a test worth 120 points and contains 36 questions. Multiple-choice questions are worth 3 points and open response questions are worth 5 points. How many of each type of question are there?
The number of multiple-choice questions is 30.
The number of open-response questions is 6.
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 multiple choice questions = M
Number of open response questions = N
We can make two equations.
M + N = 36 _______(1)
3M + 5N = 120 ______(2)
From (1) we get,
M = 36 - N ______(3)
Putting (3) in (2) we get,
3(36 - N) + 5N = 120
108 - 3N + 5N = 120
2N = 120 - 108
2N = 12
N = 6
Now,
Putting N = 6 in (3) we get,
M = 36 - 6
M = 30
Thus,
The number of multiple-choice questions and open-response questions is 30 and 6.
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Give the slope between the points (-5,-2)(-2,-7)
Step-by-step explanation:
Give the slope between the points (-5,-2)(-2,-7)
slope = change in y / change in x
slope = (-2 - (-7)) / (-5 - (-2))
slope = ( -2 + 7) / ( -5 + 2)
slope = 5/-3
slope = -5/3 or -1.667
Help!! Show your work please!
Answer:
62 degrees
Step-by-step explanation:
first we find angle C by subtracting 116 from 180
180-116
64 degrees is angle c
Sum of all three angles of a triangle is 180 degrees
(3x-13)+(2x+4)+64=180
5x-9+64=180
5x+55=180
-55. -55
5x=125
/5. /5
x=25
Now we know x we can find angle A
3(25)-13
75-13
62 degrees
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a regular tetrahedron is a triangular pyramid, all of whose edges have the same length. if all the edges are 6-inch segments, how tall is such a pyramid, to the nearest hundredth of an inch?
To find the height of a regular tetrahedron, you can use the formula h = sqrt(2/3) * s, where h is the height of the tetrahedron and s is the length of one of its edges. In this case, the length of one of the edges is 6 inches, so plugging this value into the formula gives:
h = sqrt(2/3) * 6 inches
= sqrt(4/3) inches
= sqrt(4/3) * sqrt(1/1) inches
= 2/sqrt(3) inches
To convert this to a decimal and round to the nearest hundredth, we can use a calculator to find that the height of the tetrahedron is approximately 3.46 inches.
How many faces are there in tetrahedron?
4
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Radius
Diameter
Circumference