The probability of a random rod forming a triangle if it is divided into 3 parts is 1.
Here we are asked the probability of a random rod forming a triangle if it is divided into 3 parts.
Now a point to be noted here is that we are not asked whether it forms a perfect triangle. A perfect triangle would have been the case when while making a triangle, no extra length is left out.
A triangle has three vertices and three edges. Hence we can safely say if there are 3 pieces of rod, it will ultimately form a triangle.
There might be some spare length on the side, but nonetheless, a triangle will be formed.
Hence the probability to form a triangle is 1
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Solve for X. Find the length of angle
10
F
8
E
2x-17
9
D
C
Applying the secant-secant theorem, the value of x is: 12.
What is the Secant-secant Theorem?The secant-secant theorem states that if you draw two lines from a point outside a circle that intersect the circle at two different points, then the product of the length of one line segment and the length of the portion of the line outside the circle is equal to the product of the length of the other line segment and the length of its portion outside the circle.
Based on the secant-secant theorem, we have:
EF * ES = ED * EC
Substitute the values:
8(8 + 10) = 9(2x - 17 + 9)
Solve for x:
144 = 18x - 72
144 + 72 = 18x
216 = 18x
216/18 = x
x = 12
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PLS HELP I WILL GIVE BRAINIEST IF UR CORRECT AND PLS ANSWER ASAP
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 8.
Event B: The sum is an even number.
Write your answers as fractions.
Answer:
Step-by-step explanation:
When a die is rolled twice in succession and the face values of the two rolls are added together, there are all 36 ways.
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Event A: It is observed that there are 10 cases where the sum is greater than 8.
The cases are, (3,6), (4,5), (4,6), (5,4), (5,5), (5,6), (6,3), (6,4), (6,5), (6,6).
Thus, the probability for event A is 10/36 = 5/18.
Event B: It is observed that half of the cases are where the sum is an even number.
The probability for event B is 1/2
Answer:
the probability for event A is 10/36 = 5/18. The probability for event B is 1/2
Step-by-step explanation: I copied it from 2800818 (the one with a Pokémon picture) All credit goes to him/her
sierra read for 220 minutes 1 week. Chen read for 1/2 hour a day for 7 days which explanation is correct
The correct explanation is Chen read for less time as compared to Sierra, as 420 minutes is less than 220 minutes.
Time is an important aspect of reading as it determines how much one can read in a certain period.
In this case, we have two individuals, Sierra and Chen, who read for different times in a week. To determine which one read more time, we need to convert the units of time into minutes, the same unit of measurement.
D. Chen read for less time because an hour a day for 7 days is equal to 210 minutes.
This explanation is correct as 1 hour a day for 7 days is equal to 420 minutes, not 210 minutes.
Therefore, the correct explanation is option (D).
Complete Question:
Sierra read for 220 minutes in 1week. Chen read for an hour a day for 7 days. Which explanation is correct?
A. Sierra read for more time because 220 is greater than
B. Sierra read for less time because minutes are less than hours.
C. They read for the same amount of time because 1 week is equal to 7 days.
D. Chen read for less time because an hour a day for 7 days is equal to 210 minutes.
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Jamie has saved $ 38 of her allowance money to buy books . If she buys 5 books at d dollars per book , she will have 38 - 5d of her allowance left . How much does she have left if the books cost $ 2.50 each ?
Answer:
Jamie has $12.50 of her allowance left if the books cost $2.50 each.
Step-by-step explanation:
To calculate this, first calculate the total cost of the books:
5 books x $2.50/book = $12.50.
Then subtract the cost of the books from the amount Jamie has saved:
$38 - $12.50 = $25.50.
Finally, subtract the cost of the books from the amount Jamie has saved to get the amount she has left:
$25.50 - $12.50 = $12.50.
Answer:
$25.50
Step-by-step explanation:
We know Jamie bought 5 books, each worth $2.50, d. We need to know the cost of all five, so we’ll go ahead and multiply 5 times $2.50 to get $12.50.
Since we know how much the books cost, all we have to do now is subtract the amount she spent from her allowance. $38.00 - $12.50 is 25.50, the amount of money Jamie has left.
i need help with this
Note that where in a Rhombus ACDB, m∠CDB = 60 degrees and BC = 10. The diagonals cross at point M. The length of the side of ACDB is 10.
What is a Rhombus?A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term equilateral quadrilateral refers to the fact that all of its sides are the same length.
Note that the above-described Rhombus is described accordingly. Since the diagonals are perpendicular to each other and bisect one another each at an inner angle that is 90° each, then we can say that;
∠MDC = 30°
MC = 1/2BC
= 1/2 * 10
= 5
Thus,
DC = MC/Sin30°
= 5/1/2
= 5 * 2
= 10
Thus, the measure of a side of a Rhombus - ACDB is 10.
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Figure ABCD has vertices A(-3, 2), B(2, 2), C(2, -4), and D(-3, -2). What is the area of Figure
ABCD? (1 point)
O 5 square units
O 20 square units
O 25 square units
O40 square units
Figure ABCD has vertices A(-3, 2), B(2, 2), C(2, -4), and D(-3, -2) then the area of Figure ABCD be 25 square units.
What is meant by vertices?A vertex in geometry is a location where two or more curves, lines, or edges come together. The intersection of two lines to form an angle, as well as the corners of polygons and polyhedra, are vertices according to this definition.
A polygon's vertex is a location where the sides or edges of the item or two rays or line segments meet. Vertex is a noun, whereas vertices is the plural. Vertices are the points at which the edges of the three-dimensional shape converge. Edges are the lines that separate two faces, while faces are flat surfaces.
The area of the trapezoid exists equal to
A = 1/2 (AD + BC) AB
To estimate the distance between the points in the graph we have
AD = 4 units, BC = 6 units and AB = 5 units
substitute the values in the above equation, we get
A = 1/2 (4 + 6)5 = 25 square units
Therefore, the correct answer is option c) 25 square units.
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Ray ray bought a decked out moped for 2700 with a 6 month loan and 8% interest. If the bank asks for a 10% down payment calculate that amount. Then figure out his loan payment to the bank. What is the breakdown of each of the 6 payments if the loan?
Following Answers are:
Down payment = $270Loan amount = $2430Monthly payment = $44.38What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
To calculate the 10% down payment required by the bank, you can use the following formula:
Down payment = 2700 x 10%
= $270
To calculate the loan amount, you can subtract the down payment from the total cost of the moped:
Loan amount = 2700 - 270
= $2430
To calculate the monthly loan payment, you need to know the interest rate, the loan amount, and the number of months in the loan term. You can use the following formula to calculate the monthly payment:
Monthly payment = (Loan amount x Interest rate) / (1 - (1 + Interest rate)^(-Number of months in loan term))
In this case:
Monthly payment = ($2430 x 8%) / (1 - (1 + 8%)⁻⁶)
Monthly payment = $44.38
The breakdown of each of the 6 payments would be $44.38 per month.
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 indicate whether each expression in the table is equivalent to 1/2 X - 1, equivalent to X - 1/2, or not equivalent to 1/2X - 1 or X - 1/2
The All are equivalent expression except 2/4 - 1/2 given in the question.
What is an expression?A mathematical expression known as an algebraic expression is one that includes variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division. Generally speaking, two of something are regarded as being equivalent. Similar to this, equivalent mathematical expressions are those that are true even when they appear to be different. When the values are put into the formula, however, both expressions yield the same result.
Expression Equivalent
X - 2/4 Equivalent to 1/2 X - 1
2/4 - X Equivalent to X - 1/2
2/4 - 1/2 Not Equivalent to 1/2 X - 1 or X - 1/2
X + 1/2 Equivalent to X - 1/2
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Do you think you can relate the given quantity to the indicated amount using more than one symbol? Why?
Yes, you can relate a given quantity to the indicated amount using more than one symbol.
In mathematics, symbols are used to represent mathematical objects and operations, making it easier to understand and communicate mathematical ideas.
Each symbol has a specific meaning and can be used in different ways to represent the same quantity.
For example, the number 7 can be represented by the numeral 7, the Roman numeral VII, or even the symbol 7 in scientific notation. All of these symbols represent the same quantity, but they each have a different context and use.
The numeral 7 is commonly used in everyday life, the Roman numeral VII is used in ancient times and in some specific contexts, and the scientific notation 7 x 10⁰ is used in scientific and mathematical calculations.
Similarly, in algebra, a variable such as x can represent a quantity and can be used in different ways to represent the same value.
For example, the equation x + 3 = 6 can be solved for x to find that x = 3. This same value can also be represented by the expression 3x, which shows that x is equal to 3.
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Pete’s Pizzas charges $5.50 per pizza. Pete spent $200 in supplies to start his business. Write an equation to determine the total Profit, y, he will make after he sells x amount of pizzas.
If Pete sells 50 pizzas, he will make a profit of $75. The equation can be used to determine the profit is y = 5.50x - 200.
Pete's Pizzas charges $5.50 per pizza and has spent $200 in supplies to start his business.
We can use the following equation to determine the total profit he will make after he sells x amount of pizzas:
y = 5.50x - 200
where y is the total profit, 5.50 is the revenue per pizza, x is the number of pizzas sold, and -200 is the fixed cost for the supplies.
For example, if Pete sells 50 pizzas, we can plug in the values into the equation:
y = 5.50 * 50 - 200
y = 275 - 200
y = 75
So, if Pete sells 50 pizzas, he will make a profit of $75. The equation can be used to determine the profit for any number of pizzas sold by simply changing the value of x.
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which function(s) has the following properties? there may be more than one answer, so select all that apply. . domain is all real numbers, . range is all integers, . g
The correct answer is option c. There are no real-valued functions that have a domain of all real numbers and a range of all integers.
A function maps an input (or domain) to a unique output (or range). In order for a function to have a domain of all real numbers, it must take any real number as an input and provide a unique output. However, for a function to have a range of all integers, it must be the case that every output is an integer.
Since the real numbers are not countable and the integers are countable, there can be no function that maps every real number to a unique integer. In other words, there is no one-to-one correspondence between the real numbers and the integers, which means that it is not possible to find a function that maps every real number to an integer.
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Complete Question:
which function(s) has the following properties? there may be more than one answer, so select all that apply.
the domain is all real numbersthe range is all integersnone of the abovethere are 8 women and 10 men. how many are there ways to form a committee of 11 with more women than men?
Answer:
Below
Step-by-step explanation:
If the men are indistinguishable and the women are too, then
6 w 5 m
7 w 4 m
8 w 3 m
3 ways
IF they ARE distinguishable it becomes a much larger, complex calculation:
8 C 6 * 10 C 5 + 8 C 7 * 10 C 4 + 8 * 10 C 3
( is THIS what you are studying ? )
How do you find the arc length?
To find the arc length, we use the formula L = rθ, where r is the radius of the circle, θ is the central angle of the arc in radians, and L is the arc length.
Arc length refers to the distance covered along the curved portion of a circle or any other curved shape. It is an important concept in geometry and trigonometry and is used to measure the size of circular arcs, the size of angles, and in many other mathematical applications.
To find the arc length, we need to use the formula for the circumference of a circle and the central angle of the arc.
The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.
The central angle of the arc is given in radians and is defined as the angle between two radii that meet at the endpoints of the arc.
To find the arc length, we use the formula
=> L = rθ,
where L is the arc length, r is the radius of the circle, and θ is the central angle of the arc in radians.
To convert the central angle from degrees to radians, we use the formula θ = (π/180) x degrees, where degrees are the central angle in degrees.
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linear , exponential , or neither ?
Please help.
Nick decided to bake some cupcakes by himself. He has 200 g of flour. He needs 12 g of flour for each cupcake. At most, how many cupcakes can he bake
Answer:
Nick can bake 16 cupcakes at most
Step-by-step explanation:
If you divide 200 by 16, you get 16.667. Because .667 is not a full cupcake, you cannot round up to get 17 cupcakes.
If you have any questions, feel free to ask in the comments. If you find my answer helpful, please consider marking brainliest. Hope this helps!
A race is 3 miles long. After running of the race, Rosie stopped for some
water. How many miles had Rosie run when she stopped for water?
A 1-miles
B 12 miles
20
43
12
50
miles
D 2½ miles
F
CC
I want you to show me the steps on how to solve the two equations
The steps to solve the equations are his below.
How to solve the equationHere are the steps to solve a system of two linear equations:
Write the equations in slope-intercept form (y = mx + b) or standard form (ax + by = c).
Identify the coefficients and the constant terms of each equation.
Choose one equation and solve for one variable (e.g. x or y).
Substitute the value of the variable found in step 3 into the other equation.
Solve for the other variable by rearranging the equation obtained in step 4.
Substitute the values of both variables back into either equation to check the solution.
Graph the two equations on the same set of axes to visually check if the solution is correct.
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The ratio of children to adults at a party is 2:3. A busload of 30 more children
arrives at the party, and now the ratio of children to adults is 3:2. How many
people were at the party before the bus arrived?
Answer:
60 people
Step-by-step explanation:
Before
C:A
2:3
After
C:A
3:2
We know that the number of adults never change.
Before
C:A
4:6
After
C:A
9:6
difference in units of children= 9-4
= 5
5 units= 30
1 unit= 30÷5
= 6
total units [before]= 4+6
= 10
10 units= 6×10
=60
Find the domain of f(x) below
√(x-7) / x³ + 1
Domain of function is in Set Builder Notation is, {x | x ≥ 7 }.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = √(x-7) / (x³ + 1)
Now, We can find the domain of function as;
⇒ f (x) ≥ 0
⇒ √(x-7) / x³ + 1 ≥ 0
⇒ √ (x - 7) ≥ 0
⇒ x - 7 ≥ 0
⇒ x ≥ 7
Thus, Domain of function is in Set Builder Notation is, {x | x ≥ 7 }.
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Help……………………………………..
A limit describes a function's value as it gets closer to a certain value as its inputs increase. All calculus is based on the concept of a limit.
What kinds of constraints are there?There are one-sided limits (left- and right-hand limits), infinite limits, and limitations at infinity in addition to regular, two-sided limits.
What is an illustration of a limit?Let's look at an example to better grasp what limits are. Beginning with the function f (x) = x + 2 f(x) = x + 2 f(x) = x + 2f, left parenthesis, x, right parenthesis, equals, x, plus, 2. The value f approaches as we move closer and closer to x = 3 x=3 x=3, which is the limit of f at x = 3 x=3 x=3.
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The values of the two limits are lim x->33- g(x) = -15 and lim x->33+ g(x) = -6.
Option (B) is correct.
What is a limit in calculus?
The limits in mathematics describe the behavior of a function as the input approaches a certain value. The symbols for limits are "lim" followed by the variable and the value that the variable is approaching, with an arrow indicating the direction of the approach.
For the given function g(x), we have the following limits:
lim x->33- g(x) = -15.1
This means that as x approaches 33 from below, the value of g(x) approaches -15.1. We can see this from the values in the table, as x gets closer to 33 from below, g(x) gets closer to -15.1.
lim x->33+ g(x) = -6.1
This means that as x approaches 33 from above, the value of g(x) approaches -6.1. We can see this from the values in the table, as x gets closer to 33 from above, g(x) gets closer to -6.1.
So, the values of the two limits are lim x->33- g(x) = -15.1 and lim x->33+ g(x) = -6.1.
Hence, The values of the two limits are lim x->33- g(x) = -15 and lim x->33+ g(x) = -6.
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Q.5. The sum of distances of point P(- 3, 4) from both the axes is
Answer:
7 units
Step-by-step explanation:
The point is 4 units from the x axis and 3 units from the y axis.
4 + 3 = 7
Select all of the following ordered pairs that are solutions to the equation below. y + 2 = -3(x - 4)
The ordered pairs that are solutions to y + 2 = -3(x - 4) include :
( 5, - 5 ) ( 2, 4 )How to find the ordered pairs ?To find the ordered pairs, insert the x value in an ordered pair, into the equation. If the y value that you are given is the same as the one in the ordered pair, then the ordered pair is a solution to the equation.
Ordered pair ( 5, - 5 ) :
y + 2 = - 3 ( 5 - 4 )
y + 2 = - 3
y = - 3 - 2
y = - 5
Ordered Pair ( 2, 4 )
y + 2 = - 3 ( 2 - 4 )
y + 2 = 6
y = 6 - 2
y = 4
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Options for this question are:
( 8, 4 )( 5, - 5 )( 2, 4 )( 2, - 5 )Little Johnny gets 2 hotdogs every 5 minutes. How much hotdogs will he have in an hour?( I already know the answer lmbo)
Answer:
24 bog ole hotdogs
Step-by-step explanation:
Answer:
12 hot dogs in 30 minutes
Step-by-step explanation:
1. Write it as a fraction
1. 2/5
2. Write what we know of the answer as a fraction
1. ?/30
3. For the denominator to get to 30, we must multiply 5 by 6. However, we also have to multiply the numerator by 6.
1. 2*6=12.
4. Therefore, the answer is 12/30, or he will eat 12 hot dogs in half an hour.
is 9/10 simplify or not to simplify?
Answer:Not to simplify
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
9/10 is already in its simplest form. It cannot be further simplified as it is a fraction with two prime numbers in its numerator and denominator.
which of the following statements describes a correct method for solving this equation? 15 + 3x=15
A.
Divide both sides of the equation by 3, and then add 15 to both sides.
B.
Divide both sides of the equation by 3, and then subtract 25 from both sides.
C.
Add 15 to both sides of the equation, and then divide both sides by 3.
D.
Subtract 15 from both sides of the equation, and then divide both sides by 3.
Answer:
D
Step-by-step explanation:
15+3x=15
15-15+3x=15-15
3x=0
3x/3=0/3
x=0
. calculate the probability that another individual has the same genotype at all 16 str loci by using the same procedure as questions 6b and 6c. what is the probability of an identical match with another elephant at all 16 strs?
It is important to note that the probability of an exact match at all 16 loci is very low, as even small differences in the number of repeats at each locus can result in different genotypes. This makes it unlikely to find two individuals with an exact match at all loci.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.
Here,
To calculate the probability of an identical match at all 16 STR loci, you would need to determine the frequency of each unique genotype at each locus, and then multiply the frequencies of each unique genotype to obtain the probability of all 16 loci having the same genotype in two individuals.
This probability would be based on the genetic makeup of the population of elephants that the individuals are drawn from, and the specific alleles present at each locus in each individual.
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Simplify——-
C.) 5/16 - 3/8
Answer:
-1/16
Step-by-step explanation:
5/16 - 3/8 =
To subtract fractions, you need a common denominator. The least common denominator (LCD) of 16 and 8 is 8.
= 5/16 - 6/16
= -1/16
Classify the
given numbers are rational
con orational (2-√5]
Answer:
2 - √5 is an irrational number
Step-by-step explanation:
The sum or difference between a rational number and an irrational number is always irrational.
Here 2 is a rational number and √5 is an irrational number. Hence 2 - √5 is an irrational number.
pls help i dont understand
Answer:
f(1/7) = 3 3/4 in simplest form.
Step-by-step explanation:
To find the value of f(1/7), we can substitute 1/7 for x in the function:
f(1/7) = -7/4 * 1/7 + 4
f(1/7) = -7/4 * 1/7 + 4
f(1/7) = -7/28 + 4
f(1/7) = 4 - 7/28
f(1/7) = 4 - 1/4
f(1/7) = 3 3/4
So f(1/7) = 3 3/4 in simplest form.
solve
ax+b=dx-1
please help me
Answer:x=\frac{b-1}{a-d}
Step-by-step explanation: