The probability that a point chosen at random would land in the inscribed triangle is 31.831%.
To find the probability that a point chosen at random would land in the inscribed triangle.
we need to compare the areas of the triangle and the circle.
Since the triangle is inscribed in the circle, the base of the triangle is equal to the diameter of the circle, which is twice the radius (2× 6 = 12m). The height of the triangle is equal to the radius of the circle (6m).
Using these values, we can calculate the area of the triangle:
A = (1/2) × 12m×6m = 36m²
The area of the circle can be found using the formula for the area of a circle: A = π ×radius².
Substituting the radius (6m) into the formula:
A = π×(6m)² = 36πm²
Now, to find the probability that a point chosen at random would land in the triangle.
we divide the area of the triangle by the area of the circle and multiply by 100 to express it as a percentage:
Probability = (36m² / 36πm²) × 100
Probability = (1 / π) × 100
Probability = (1 / 3.14159) ×100 = 31.831%
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What is the answer to these two
Answer:
1.) m<6 and m<8=142, m<9=38
2.) m<7 and m<9=66, m<8=114
note: brainliest would be appreciated.
Step-by-step explanation:
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16
Answer:
\(x=4,\:x=0\)
Step-by-step explanation:
\(\mathrm{Divide\:both\:sides\:by\:}4\)
\(\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}\)
\(\mathrm{Simplify}\)
\((x-2)^{2} =4\)
\(\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)
\(x=4,\:x=0\)
Tell me if it's censored since my wifi is terrible.
true or false? ∅ and {∅} are the same set. they are both the empty set.
∅ and {∅} are the same set is false because ∅ is the empty set, meaning it contains no elements. {∅}, on the other hand, is a set containing one element, which is the empty set ∅.
To further illustrate this point, consider the following example:
Let A = ∅ and B = {∅}. Then, the cardinality of A, denoted by |A|, is 0, since there are no elements in the set.
The cardinality of B, denoted by |B|, is 1, since there is one element in the set (the empty set ∅).
Therefore, |A| ≠ |B|, which means that A ≠ B, or ∅ ≠ {∅}.
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What is the difference between the circumference of the outer circle and the circumference of the inner circle?
Answer:the Circumference of the outer cycle is longer than the circumference of the inner circle.
Step-by-step explanation:
write vertically and solve step bye step 1.what is 0.24x3.12
Answer:
0.7488
Step-by-step explanation:
0.24
× 3.12
_______
0.48
0.240
+ 0.6200
________
0.748 8
If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Given function;
f(x) = 16x – 30
g(x) = 14x – 6
⇒(f – g)(x) = 0
⇒(16x – 30)-(14x – 6)=0
⇒16x-30-14x+6=0
⇒2x-24=0
⇒x=24/2
⇒x=12
Hence, the value of the x will be 12.
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Find the gradient of the line segment between the points (4,-3) and (5,-6).
let a, b be elements of an abelian group of orders m, n respectively. what can you say about the order of their product ab?
The order of the product ab in the abelian group is lcm(m, n).
How to find the order of the product?In an abelian group, the order of the product of two elements can be determined using the concept of the least common multiple (LCM) of their individual orders.
Let a and b be elements of an abelian group, where the order of a is m and the order of b is n. The order of an element in a group is defined as the smallest positive integer k such that the element raised to the power of k yields the identity element.
In this case, the order of the product ab can be determined by considering the LCM of m and n, denoted as lcm(m, n). The LCM is the smallest positive integer that is divisible by both m and n.
Therefore, the order of the product ab in the abelian group is lcm(m, n).
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7. Assume that when you take a bath, you fill a tub to the halfway point. The portion that you fill measures 6 feet by 2 feet by 2.2 feet. When you take a shower, your use a shower head with a flow rate of 2.23 gallons per minutes and you typically spend 8 minutes in the shower. There are 7.5 gallons in one cubic foot. a. Calculate the cubic feet of water for the bath. b. Calculate the cubic feet of water for the shower. C. How many minutes do you need in the shower to use as much water as the bath?
The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet. You need 11.83 minutes in the shower to use as much water as the bath.
The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet.
The amount of water used in shower = flow rate × time = 2.23 gallons/minute × 8 minutes = 17.84 gallons
Let's convert gallons to cubic feet: 1 cubic foot = 7.5 gallons
17.84 gallons = 17.84/7.5 cubic feet = 2.378 cubic feet
The volume of water used in the shower is 2.378 cubic feet. The volume of water used for taking a bath is 26.4 cubic feet.
To calculate how many minutes one would need in the shower to use as much water as the bath, divide the volume of water used in taking a bath with the amount of water used per minute in the shower as shown:
26.4/2.23=11.83 min
Therefore, one needs 11.83 minutes in the shower to use as much water as the bath.
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What’s the answer pls help
Answer: B) y=2x+1
Step-by-step explanation:
These are in slope intercept form which is y=mx+b
where m is the slope and b is the value of the y intercept
Since the y-intercept is 1 on this line that leaves us with A, B, and C
Using the communitive property on the equation in C we can make the equation go from y=1-2x to y=-2x+1
This is the same answer as A and since there can't be two of the same answer leaves B as the only possible answer.
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(B)\text{ } y=2x+1\)
»»————- ★ ————-««
Here’s why:
Sometimes we can eliminate answers based on the signs of the slope and the y-intercept. The graph shown has a positive slope and a positive y-intercept of one. (The line passes (0, 1).) Options A and C are incorrect because they have a negative slope. You can also tell that option C is equivalent to option A (commutative property). Option D is not correct because it has a negative y-intercept. The line would pass through (0, -1). The correct answer is equation B. The signs of the slope and y-intercept are positive, much like the graph shown in the question.⸻⸻⸻⸻
We can double check by algebraically working it out:
\(\boxed{\text{Slope:}}\\\\\text{Two points on the graph are } (-2,-3) \text { and } (1,3).\\\\m = \frac{3-(-3)}{1-(-2)}\\\\m= \frac{6}{3}\\\\\boxed{m=2} \\\\\text{The slope is 2.}\)
⸻⸻⸻⸻
\(\boxed{\text{Y-Intercept:}}\\\\\text{The line passes through point (0, 1). The y-intercept is 1.}\)
⸻⸻⸻⸻
\(\text{Using a slope intercept equation, we can develop the equation: } \boxed{y =2x+1}\).
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
a confectioner mixes forty liters of 60% sugar syrup with a 10% sugar syrup to make a 20% sugar syrup. how much of the 10% syrup should she use?
Answer:
160 liters
Step-by-step explanation:
"a confectioner mixes forty liters of 60%":
Equation: 40 * .60
ow plug it in
0.60*40 + 0.10x = 0.20(40+x)
"how much of the 10% syrup should she use?":
.10x
"...to make a 20% sugar syrup.":
0.20(40+x)
Now that I have split the question into equations, let's put them together:
0.60*40 + 0.10x = 0.20(40+x)
Solve:
60*40 + 10x = 20*40 + 20x
10x = 40*40
x = 160 liters (amt of 10% solution needed)
Hope this helps :)
160 liters of 10% syrup is needed to make the mixture.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the amount of 10% syrup. Hence:
(60% of 40) + (x of 10%) = (x + 40) of 20%
0.6 * 40 + x * 0.1 = (x + 40) * 0.2
24 + 0.1x = 0.2x + 8
x = 160 liters
160 liters of 10% syrup is needed to make the mixture.
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Write the rational number as a decimal. −1/15=
Answer:
Step-by-step explanation:
1.15
Answer:
-0.067
Step-by-step explanation:
this is a answer
you are asked if you believe if the population variance of the student gpas is .15. how do you respond?
Answer: yes I do believe
which of the following is considered diversity? select one: a. life experiences b. educational background c. where someone is from d. how old someone is e. all of these
Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.
Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.
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please help with these 3!! :D
thanks!
A group of students consists of four people in all; two women and two men. They agree to take turns taking notes in lecture. One person at a time will be selected at random from the group (without replacement) until everyone has had a turn. The expected value of the number of people selected before and including the first time a woman has a turn is (Q17)______ .
The standard error of the number of people selected before and including the first time a woman has a turn is (Q18)______ .
The expected value of the number of people selected before and including the first time a woman has a turn is 1.6667 and the standard error is 0.7454.
How to illustrate the information?It should be noted that the expected value will be:
1[p(x = 1)] + 2[p(x = 2)] + 3[p(x = 3)]
= 1(0.5) + 2(0.3333) + 3(0.1667)
= 1.6667
Var(X) = E(X²) - E(X)2
= 3.3335 & (1.6667)²
= 0.555611
The standard error will be:
= ✓0.555611
= 0.7454
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what 3 by 3 matrix e multiplies (x, y, z) to give (x, y, z x )? what matrix e- 1 multiplies (x,y,z) to give (x,y,z - x)? if you multiply (3,4,5) by e and then multiply by e- 1 , the two results are
The two results are (3,4,5) and (3,4,5 - 3) respectively
The 3x3 matrix, e, that multiplies (x, y, z) to give (x, y, z x ) is:
[1 x 0]
[0 y 0]
[0 0 z]
The 3x3 matrix, e, that multiplies (x, y, z) to give (x, y, z - x) is:
[1 -x 0]
[0 y 0]
[0 0 z]
, the two results are (3,4,5) and (3,4,5 - 3) respectively.
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Work out the value of
(1 1/3)²
Answer:
1.77777777778
if a−b=5 and ab=75 find the value of a2+b2
Please find attached photograph for your answer.
How many degrees are in a full circle?
Answer: 360
Step-by-step explanation:
done
15. If the endpoints of a diameter of a circle are (2, -1) and (4, 0), what is the y
coordinate of the center of the circle?
Y = -0.5
The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. For that, you find the average of the two numbers. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry
Let the midpoint of (x₁ ,x₂ ) and (y₁ , y₂) is (x ,y)
x,y = ( x₁ + x₂)/2 , (y₁ +y₂)/2
Since radius is half of the diameter, we need to find the findthe midpoint of the diameter
Using midpoint formula,
y = (y₁ + y₂)/2
= (0 + (-1))/2
= -0.5
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This video demonstrates the Monty Hall Problem, named after the host of the game show "Let's Make a Deal" that originally aired in the 1960s and 1970s. In this show, contestants picked one of three curtains, one of which had a car behind it and the other two had goats. After contestants chose a curtain, Monty Hall showed the contestant what was behind one of the two curtains the contestant had not chosen. Then he offered the contestant the option to switch her choice.
A. 3
B. 10
C. 20
D. 40
Answer:
The answer is "Option C".
Step-by-step explanation:
There are goats behind two curtains, one behind every door.
Whenever a contender chooses a curtain, this contender is told the curtain had a goat behind all this by one of the certain to curtains.
Currently, one of two curtains another containing the car and one bearing a goat is provided to be chosen by the contestant. There is therefore an equal probability of \(\frac{1}{2}\). Picking a car or a goat.
Similarly, provided that
Strategies and tactics likelihood A= 10 % = 2 in 20 trails effective.
Stratery B's chance = 80 % = 16 achievements in 20 directions = 80%
Therefore,
\(\to \text{16 success} = 2 \ success+2\ success + 2\ success + 2\ success+ 2\ success +2\ success + 2\ success+ 2\ success + 2\ success}\\\\\to 16 \ success = 8(2 \ success) \\\)
\(\to 80 \% = 8 \times 10 \% \\\\\to 80 \% = 80 \%\)
its result value is expected not surprising.
When you graph an inequality, you used a closed dot when you use which symbols?
Answer:
Greater than or equal to or less than or equal to.
Step-by-step explanation:
The one on the left!
Closed dot means that the number is being included. So if you have 6, the 6 would be included as an answer. An open dot means that it isn't included!
The x coordinate of the midpoint is the _____ the x coordinates of the endpoints.
Answer:
average
Step-by-step explanation:
The midpoint is always the average or middle of the line. So here it would be the average of the two x endpoints.
-5, -15, -25 write the related series for each finite sequence
The given finite sequence is: -5, -15, -25.
This sequence is related to arithmetic sequence. An arithmetic sequence is a sequence where the difference between any two consecutive terms is constant. To find the related arithmetic sequence we need to determine the common difference d for the sequence.
Here the common difference d = a2 - a1, where a1 is the first term and a2 is the second term.
So d = -15 - (-5)
= -15 + 5
= -10.
The arithmetic sequence for the given sequence is:
a1 = -5,
a2 = -15,
a3 = -25
.
.
.
.
an = -5 - (n - 1) × 10
So, the n-th term for the sequence -5, -15, -25 is -5 - (n - 1) × 10.
The given finite sequence is -5, -15, -25. This is related to arithmetic sequence. In an arithmetic sequence, the difference between any two consecutive terms is constant. The common difference d for this sequence is found by subtracting the second term from the first term. Here the common difference d = a2 - a1, where a1 is the first term and a2 is the second term.
Thus d = -15 - (-5)
= -15 + 5
= -10.
Now, to find the arithmetic sequence, we can use the following formula: an = a1 + (n - 1)d, where a1 is the first term and d is the common difference. Here the first term is -5 and the common difference is -10, we can write the nth term of the sequence as
an = -5 - (n - 1) × 10
Therefore, the arithmetic sequence for the given sequence is: -5, -15, -25, -35, -45,.... etc
Thus, we have found the related arithmetic sequence for the finite sequence -5, -15, -25.
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what's equivalent to 1 millimeter ?
Answer:
0.1 centimeter
Step-by-step explanation:
ASAPPPPPPPPPPPPPP Pls help question in picture
Answer:
Three ways I experience these benefits is 1, being able to vote in free elections, 2, being able to receive an education, and 3, being able to volunteer for things.
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
So the answer is 1.3 after rounding to 10.
If solved will give brainless
1 . What is the relationship of angles 1 and 2 ?
2. What is the measure of angles 1 and 2?
3. What is the measure of angle 3
4. Each of these triangles would classify by angle to be :
Answer:
1.) Vertical angles. 2.) 76 degrees. 3.) 36 degrees.