The probability of raffle ticket is a winner is 0.0002.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Given:
probability that your raffle ticket is not a winner = 0.9998.
Now, we know if we have to find the complement probability we can use
P(E) = 1 - P(not E)
where E is any event.
Here, E = not winner
So, P( raffle ticket is a winner)
= 1- 0. 9998
= 0.0002
Hence, the probability of raffle ticket is a winner is 0.0002.
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A)
What are the coordinates of the vertex C'
B)
What is the length of the side A'B'?
Answer:
(4 , 1)
Step-by-step explanation:
This is because to find the coordinate on a graph, it is written as ( x , y) and x is on 4 and y is on 1.
that's my opinion.
Nice question
What is the remainder of the quantity 4 x cubed minus 20 x minus 50 end quantity divided by the quantity x minus 3 end quantity? Show all necessary steps.[tex]\frac{4x^{3}-20x-50 }{x-3}[/tex]
The remainder of the polynomial 4x³-20x-50 / (x - 3) would be the expression 4x²+20x+52.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have to determine the remainder of the quantity 4 x cubed minus 20 x minus 50 end quantity divided by the quantity x minus 3 end quantity.
4x³-20x-50 = (4x³-4x²-16x-50) + (4x²+16x)
Divide both sides by (x - 3) to get
4x³-20x-50 = (4x³-4x²-16x-50)/(x-3)+(4x²+16x)/(x-3)
⇒ 4(x²+4x+12)+(4x²+16x)/(x-3)
⇒ 4x²+16x+48+(4x²+16x)/(x-3)
⇒ 4x²+16x+48+4(x+4)
⇒ 4x²+20x+52
Therefore, the remainder of the polynomial 4x³-20x-50 / (x - 3) would be the expression 4x²+20x+52.
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Find the slope:
(-3, 3) and (7, 6)
Answer:
slope = (3/10)
Step-by-step explanation:
(-3, 3) and (7, 6)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 6 - 3 3 3
m = ------------ = ------------ = ------------ = ----------
x₂ - x₁ 7 - (-3) 7 + 3 10
I hope this helps!
Round 4,929 to the place value of the underlined digit.
Raising 4,929 to the place value of the underlined digit will give a value of 4930.
What is rounding up of numbers?It should be noted that rounding up of numbers simply means raising the number to the nearest ten, hundred, or thousand.
In this case let's assume that the underlined number is 2. Therefore, raising 4929 will give 4940. It should be noted that the number beside it is more than 5. Therefore, 1 will be added to 2 making 3. The new number is 4930.
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Which of these is best used for displaying frequency distributions when one or two categories make up a large proportion of the total?
A. Pie chart
B. Bar graph
C. Comparative pie chart
D. Comparative bar graph
Option A, Pie chart best used for displaying frequency distributions when one or two categories make up a large proportion of the total.
A piechart is best which is used for displaying frequency distribution when one or two categories make up a large proportion.
Hence, the Pie chart is best.
Pie chart - A pie chart is a statistical visualization in the shape of a split region that displays numerical information. The arc length of each slice in a pie chart is proportionate to the quantity represented.
Explanation of incorrect options,
Bar graph - A bar chart is a form of chart or graph that depicts categorical data using rectangular bars whose height or length is proportionate to the value they represent. face. Bars can be drawn vertically or horizontally. A histogram is another name for a vertical bar chart.
Comparative pie chart - Pie graphs have pie graphic areas comparing ratios by frequency. The greater the radius of the pie chart, the greater the number of individuals it depicts. This allows you to compare the two data sets visually.
Comparative bar graph - Chart displaying continuous comparisons of columns indicating different portions of the same category. This facilitates the comparison of visual data.
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\theta=310^\circθ=310
∘
The degrees to radians conversion is given as 1° = π/180 radian thus the conversion of 310° is (31/18)π.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
It is known that π radian = 180°.
1° = (π/180) radian.
Multiply both sides by 310
310° = (π/180)310
310° = (31/18)π
Hence "The degrees to radians conversion is given as 1° = π/180 radian thus the conversion of 310° is (31/18)π".
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The given question is incomplete complete question is ;
Convert the angle \theta=310^\circθ=310∘
theta, equals 310, degrees to radians.
Premises:
If you have a cat, then it will chase mice.
You have a cat.
Conclusion:
Your cat will chase mice.
The Law of what
makes this argument true.
The law which makes this argument true is referred to as the Law of Syllogism.
What is the Law of Syllogism?The Law of Syllogism is also referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.
Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:
Conditional statement 1: If P, then Q (P ↔ Q).Conditional statement 2: If Q, then R (Q ↔ R.Conditional statement 3: If P, then R ( P ↔ R).In this context, we can reasonably infer and logically deduce that the Law of Syllogism makes the conclusion based on the two premises.
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your ethics professor decides to conduct a survey in your class about whether voluntary euthanasia should be legal in the united states. for her survey, she takes all 30 students' names and assigns them each a number. then she has a computer program indiscriminately choose 15 students. we could say that her survey will be:
Hence, the survey of professor will be representative survey.
What is survey?A survey is a technique for acquiring data from a sample of people by asking pertinent questions with the goal of comprehending populations as a whole.
Everyone involved in the information economy, from corporations to the media to the government and academia, relies on surveys as a vital source of information and insights.
The survey of professor will be representative survey.
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11. A researcher in a personal submarine begins at the surface of the ocean.
The submarine descends 20.6 meters and then ascends 57 meters. What
is the depth of the personal submarine?
A-26.3 meters
14.9 meters
B-14.9 meters
26.3 meters
The depth of the personal submarine is -14.9 meter.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.
Given that,
The submarine descends 20.6 meters and then ascends 5.7 meters. it means 20.6 is a negative number and 5.7 is a positive number.
Now,
To find the depth adding the -20.6+5.7
-20.6+5.7
-14.9
Hence, The depth of the personal submarine is -14.9 meter
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whats the opposite of -4
Answer:
The opposite of an integer and negative number is a positive integer number. In this case, the opposite of -4 is +4.
the question is on the attachment full thing please to get brainlyist
Answer:
The percent of change is about a 16.95% increase.
The predicted population in 2019 is 158,000 people.
sry if im wrong
Step-by-step explanation:
WILL GIVE BRAINLIST IF ANSWERED CORRECTLY!!
Any transformation that leaves the sides and angles of flat figures unaltered is referred to as rigid transformation or isometry. Congruent pictures are produced by reflection in the plane, translations, rotations, or a combination of them.
What is meant by rigid transformations?A transformation that maintains the size and shape of a geometric figure is known as a rigid transformation (or isometry). is a unique kind of transformation that doesn't alter a figure's size or shape.
Any transformation that leaves the sides and angles of flat figures unaltered is referred to as rigid transformation or isometry.Congruent pictures are produced by reflection in the plane, translations, rotations, or a combination of them.This suggests that two figures can only be said to be congruent if and only if a rigid transformation, or a combination of one or more rigid transformations, can map one planar figure onto another.The complete question is:
Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply
a) rigid transformations preserve segment lengths and angle measures.
b) Rigid transformations produce congruent figures.
c) If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.
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Please help me please I’m begging I WILL GIVE YOU BRAINLEST
The value of x is 54.
What is the Same Side Interior Angles Theorem?If a transversal meets two parallel lines, each pair of same-side interior angles is supplementary (their sum is 180°), according to the theorem for the "same-side interior angle theorem."
The given angles in the figure are 2x + 42° and x - 24°, which are interior angles formed on the same side of the transversal.
By Same Side Interior Angles Theorem,
2x + 42° + x - 24° = 180°
3x + 18° = 180°
3x = 180° - 18°
3x = 162°
x = 54
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pls help im faling geometry
What is the ratio in the question reduced to the lowest terms?
The total of animals is a prime number and hence the ratio can only be expressed as fraction.
Ratios of NumbersTo find the ratio in the given question, we must first of all add the total sum of the animals given and then find the ratio to each one.
Total number of items given
[tex]12 + 5 + 6 = 23[/tex]
The ratio of spiders to mosquitoes to rats are
[tex]\frac{12}{23}:\frac{5}{23}:\frac{6}{23}[/tex]
The total sum of animals is a prime number and can't be divided, however, the ratio is expressed as simple as possible.
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help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
324 square inches
Step-by-step explanation:
A = S squared
A = 18 x 18
A = 324square inches
The figures below are congruent. Name the corresponding sides.
Answer:
KM
KL
LM
Step-by-step explanation:
Solve each equation. Show solutions on number line |x-4|=1
The solutions to the equation are x = 5 and x = 3
How to solve the equation?The equation is given as
|x - 4|= 1
The above equation is an absolute value equation
When the absolute value sign is removed from the equation, we have
x - 4 = 1 or x - 4 = -1
Add 4 to all sides of the equation
So, we have the following equations
x = 1 + 4 or x = 4 - 1
Evaluate
x = 5 or x = 3
This means that the value of the equation is x = 5 or x = 3
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Solve each equation by factoring. Then solve the quadratic formula. (Show all work)
[tex] - {k}^{2} + 3k = 28 - 2 {k}^{2} \\ - {k}^{2} + 2 {k}^{2} + 3k - 28 = 0 \\ {k}^{2} + 3k - 28 = 0 \\ (k + 7)(k - 4) = 0 \\ \\ k + 7 = 0 \\ \\ ork - 4 = 0 \\ \\ k = - 7 \\ \\ or \\ \\ k = 4[/tex]
ATTACHED IS THE SOLUTION
I GROUPED THE LIKE TERMS TOGETHER FIRST AFTER THAT THEN FACTORISED.
A manager needs to rent a meeting room. This function can be used to determine
room is rented.
f(1) = 100
f(t)=f(t-1)+20
Use the function to complete the table indicating the cost of renting the room for e
Hours Rented
1
2
3
4
Cost
The cost of renting the meeting room by the manager for the hours 1,2,3 and 4 defined by the function of (t) = function of (t-1) + 20, given that function of (1) = 100 is 520.
What is a function?A function can be defined as a mapping whose co-domain is the set of real numbers.
Given the mapping defined as function of (t) = function of (t-1) + 20, for function of (1) = 100
Hence,
.f (2) = function of (2-1) + 20
.f (1) + 20
100 + 20 = 120
.f (3) = function of (3-1) + 20
.f (2) + 20
120 + 20 = 140
f (4) = f (4-1) + 20
.f (3) + 20
140 + 20 = 160
This can be seen in a table as shown above!
We can conclude with the proper mapping of the defined function of (t) = function of (t-1) + 20 for function of (1) = 100 that the total cost for the hours 1,2,3 and 4 for renting the meeting room is 520.
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11. The price of a sweater changed from $20 to $12. By what percentage was the price of the sweater
changed?
The price of the sweater decreased by __ %
well, the change was 8 bucks.
if we take 20 to be the 100%, what is 8 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 20 & 100\\ 8& x \end{array} \implies \cfrac{20}{8}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2}=\cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40[/tex]
I need help with finding the coordinates of B, I found A but I can't seem to get the right answer for B.
The graph represents the cosine graph, the coordinates of B is (-180, -1 )
what is cosine graph?This is a type of graph used to depict cosine values of angles. The maximum and minimum points in these type of graph is 1 and -1.
The zero points gives the maximum point on the graph, hence the graph starts at ( 0, 1 )
Point B is found by analyzing the graph.
The point is located at the minimum which is -1. this is for the output value.
The input value which is the x direction we look at the cycles covered. one full cycle is 360 degrees or -360 degrees.
Point B is in the negative and coves half cycle which is -180
Hence B ( -180, -1)
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Which relations are functions? Select all that apply.
Options A and B are functions as either if of the inputs is relating to a different output or different inputs relating to a single output.
What is a function?A function can be thought of as a set of inputs that produces some output.
We know a relation is a function if every input relates to a different output sometimes many input relates to one output but one input relates to different outputs is not a function.
Option A is a function as every input relates to a different output.
Option B is not a function as the input - 4 relates to two different outputs 12 and 15.
Option C is also a function as every preimage has a different image.
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PLEASE QUICK HELP ME
Answer:
x = 115°
Step-by-step explanation:
Line a and line b are parallel lines
x° and the angle with measure 115° are alternate exterior angles so they have same measurement and each is 115°
What is the value of x?
Answer:
x = 15
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
3x - 5 is an exterior angle of the triangle, then
3x - 5 = x + 25 ( subtract x from both sides )
2x - 5 = 25 ( add 5 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
Answer:
40° and 115°
Step-by-step explanation:
x+3x-5+25°=180°(angle on a straight line)
4x+20=180°
4x=180°-20
4x=160°
x=160/4
x=40°
The other angle
3x-5=3(40)-5
120-5=115°
total
40°+25°+115°=180°
At the beginning of the month, Adam had 174.85 in his checking account. He wrote the following transactions in his checkbook for the month.. 58.00, -316.38, 102.96 What is Adams's account balance at the end of the month
Adam's account balance at the end of the month is 19.13 dollars.
The amount present in Adam's bank account at the beginning of the month is $174.85.
The transactions he wrote are,
58.00
-316.35
102.96
The Transactions which have positive sign are credit amount and the transaction with negative sign are debit amount.
We can write,
The balance at the end of the month = Initial balance present + Credit amount + debit amount
So, balance in Adam's account can be found by simple addition and subtraction,
Balance = 174.85 + 58.00 + 102.96 - 316.38
Balance = 335.81 - 316.68
Balance = 19.13
The amount in Adam's bank account at the end of the month is 19.13 dollars.
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PLS HELP ME OUT I WILL MARK YOY BRAINLEIST IF CORRECT
the half-life of palladium-100 is 4 days. after 12 days a sample of palladium-100 has been reduced to a mass of 4 mg. what was the initial mass (in mg) of the sample? what is the mass (in mg) 7 weeks after the start? you may enter the exact value or round to 4 decimal places.
Using the half life of palladium, mass seven weeks after start was 0.7931 gm.
The half-life is the amount of time it takes for a quantity (of material) to fall to the cost. In nuclear physics, the phrase usually refers to how rapidly neutrons become radioactive atoms or how long stable atoms survive.
The term can also refer to any sort of hyperbolic (or, in rare situations, non-exponential) decay.
The half life of palladium 100 = 4 days
after 24 days sample has reduced to a mass of 5mg
standard exponential function is
[tex]P = P_o e^{kt}[/tex]
plugging P = P₀ /2
[tex]P_o/2 = P_o e^{4k }[/tex]
[tex]1/2 = e^{4k }[/tex]
ln (1/2) = 4k
k = -0.1733
function becomes
[tex]P = P_o e^{- 0.1733 t }[/tex]
plugging P = 5 and t = 24
[tex]5 = P_o e^{( - .1733\times 24 ) }[/tex]
P₀ = 320.10
In the medical sciences, for example, the biological half of drugs and other chemicals in the human body is referred to. The flipside of half-life is doubling time in exponential growth.
For the second part of the problem:
7 weeks = 5 × 7 =49 days
plugging t = 49
[tex]P = 320.10 e^{(-.1733 * 35 ) }[/tex]
mass 7 weeks after = 0.7431 mg
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What is the answer: 4(3x+2)-2
Answer:
12x + 6Step-by-step explanation:
What is the answer:
4(3x+2)-2=
12x + 8 - 2 =
12x + 6
Last year, Lena biked 565 miles. This year, she biked k miles. Using k, write an expression for the total number of miles she biked