What is the theoretical probability of
randomly picking a triangle from the shapes
below?

Answer: 7.62

Step-by-step explanation:

\(AB=\sqrt{(-2-1)^{2}+(-3-4)^{2}}=\sqrt{9+49}=\sqrt{58} \approx 7.62\)

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

\(1.9 \sqrt{3} \)

Step-by-step explanation:

3.8 is 2x 3.8/2 is 1.9

9514 1404 393

Answer:

  781.4 cm²

Step-by-step explanation:

The shaded region consists of four (4) 30° sectors and eight (8) 60° segments. The formulas for the areas of these figures can be used.

  area of sector = (1/2)r²θ

  area of segment = (1/2)r²(θ -sin(θ))

For radius r, the area of the 4 sectors is ...

  sector area = 4(1/2)(r²)(π/6) = (π/3)r²

and the area of the 8 segments is ...

  segment area = 8(1/2)(r²)(π/3 -sin(π/3)) = 4r²(π/3 -√3/2) = (4/3)πr² -r²(2√3)

So, the total shaded area is ...

  shaded area = r²(π/3 +4π/3 -2√3)

The radius of the circle is 21 cm, so the shaded area is ...

  (21 cm)²(5π/3 -2√3) ≈ 781.4 cm²

Answer:

17 / 18

Step-by-step explanation:

1/9 + 5/6 needs to be converted to a different equivalent fraction so that the denominators are the same, so;

1/9 = 2/18 and 5/6 = 15/18

2/18 + 15/18 = 17/18!

The rhyme scheme of the excerpt from "Do Not Go Gentle Into That Good Night" is not easily defined by a specific pattern. It combines elements of both regularity and irregularity in its structure. While there is a discernible pattern in some lines, others deviate from that pattern, creating a dynamic and varied effect throughout the poem.

The excerpt exhibits a mix of rhyme patterns, incorporating both end rhyme and internal rhyme. In the first stanza, the rhyme scheme follows an A-B-A-A pattern, with the end words of the first and second lines rhyming ("night" and "light"), while the end words of the third and fourth lines also rhyme ("right" and "night").

However, in the second stanza, the rhyme scheme becomes less structured, with internal rhymes appearing sporadically within lines. For example, "wise men" and "end" have an internal rhyme, as do "dark" and "forked." These occasional internal rhymes contribute to the lyrical and musical quality of the poem, enhancing its emotional impact.

Overall, the rhyme scheme of the excerpt showcases the poet's skillful use of rhyme to convey both the intensity and complexity of the themes explored in the poem.

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Answer:

Veronica is correct

Step-by-step explanation:

1/2 x 5/2 = 5/4

1/2 + 5/2 = 6/4

Answer: B

Step-by-step explanation:

Answer:

K(x,y) →K'(-x, y-7)     (B)

Step-by-step explanation:

Answer:

y = 138

Step-by-step explanation:

y = 132 when x = 11

x = 17

17 - 11 = 6

132 + 6 = 138

If the value of y = 132 then x = 11, then when the value of x = 17 the value of y will be equal to 204.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data in the question,

When x = 11 then y = 132,

Which means that 12 times of 11 is 132.

Mathematically, 11 × 12 = 132

Then,

When x = 17 then the value of y will be :

⇒ 17 × 12 = 204, that is, 12 times of 17 will be 204.

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1/3 + 1/3 is 2/3 bc the denominator always stays the same but you always add the numerator so that us 2/3 and you do the same with the others

Answer:

yes

Step-by-step explanation:

Answer:

Yup it’s rational

Step-by-step explanation:

Have a great night!!

~ jassy ❤️

The property of binomial distributions is B. The variable of interest is the total number of successes or failures for a given number of observations

A common probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters. It provides a summary of the number of trials when each trial has an equal chance of producing a particular result.

For instance, if we flip a coin, there are only two possible results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.

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Answer:

The variable of interest is the total number of successes or failures for a given number of observations.

Step-by-step explanation:

Got it right on the test.

Answer:

  all are 90°

Step-by-step explanation:

Vertical angles are congruent, and linear angles are supplementary, so we have ...

  ∠AOC + ∠COB + ∠BOD = 270°

  180° + ∠BOD = 270°

  ∠BOD = 90°

Since the lines cross at right angles, all of the angles are 90°.

The annual order cost is $1,600, annual holding cost is $56,000, annual logistics cost is $35,200, total purchase cost is $1,120,000, and total annual costs is $92,800.

To calculate the annual order cost, we need to determine the number of purchase orders placed in a year. Since each container holds 5,000 units and the annual demand is 80,000 units, the number of purchase orders is 80,000 / 5,000 = 16.

The annual order cost is then calculated by multiplying the number of purchase orders by the cost to place a purchase order: 16 * $100 = $1,600.

The annual holding cost is calculated by multiplying the holding cost rate (5%) by the total purchase cost. The total purchase cost is the product of the purchase cost per unit ($14.00) and the annual demand (80,000 units): 5% * ($14.00 * 80,000) = $56,000.

The annual logistics cost is calculated by multiplying the shipping cost per container ($2,200) by the number of purchase orders (16): $2,200 * 16 = $35,200.

The total purchase cost is the product of the purchase cost per unit and the annual demand: $14.00 * 80,000 = $1,120,000.

The total annual costs are the sum of the annual order cost, annual holding cost, and annual logistics cost: $1,600 + $56,000 + $35,200 = $92,800.

Therefore, the total annual costs amount to $92,800.

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Answer:

They have completed 50% of the race

Step-by-step explanation:

13 is half of 26. So when putting it in fraction form 13/26 can be equal to 50/100/

Now we can see that our fraction is 50/100, which means that 13/26 as a percentage is 50%.

Step-by-step explanation:

no solution as √x is a positive value

no solution as √x is a positive value

#1

If square root is over x only x=3²=9

#2

No solutions as -10 is <0

#3

If root is over x only then no solutions

#4

√x=0.1

x=0.01

Answer:

Step-by-step explanation:

Given:

61% of people own dogs.

So,

Probability of one person having dog

=61/100

=0.61

If we choose two people randomly the probability of one person having a dog is 0.61. Also the two events are independent of each other.

So the probability of the second person choosing a dog will also be 0.61.

*P(A AND B) = P(A) × P(B)*

Probability of both having a dog is,

P(A∩B) =0.61 × 0.61

= 0.3721

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Answer:

it will be option 3 if isnt pls tell me and I'll work if out

(8 x 3) - 2³+ 17 = 33 is the true statement and so Option 3 is the correct answer.

An equation is a statement that links variables to constants and even with other variables and is helpful in solving complex problems.

The options given below needs to be checked for

Left Hand Side =  Right Hand Side

Option 1

LHS = -133.33

RHS = 33

Option 2

LHS = -125

RHS = 33

Option 3

LHS = 33

RHS = 33

Therefore Option 3 is the correct answer.

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Answer  c = (a-b)/d

Step-by-step explanation:

subtract b and divide by d

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

Given expression:

                     \((\frac{4}{7}) ^{2x - 1}\)   = \(\frac{16}{49}\)

  Solve for x;

Solution:

    16  = 4²

   49 = 7²

  So;

           \((\frac{4}{7}) ^{2x - 1}\)  = \(\frac{4^{2} }{7^{2} }\)

          \((\frac{4}{7}) ^{2x - 1}\)   = \((\frac{4}{7} )^{2}\)

     Now;

              2x - 1 = 2

              2x = 3

                x  = \(\frac{3}{2}\)

Answer:

-18

Step-by-step explanation:

-5 + 10 = 5

5 - (-2) = 7

7 - 24 = -17

-17 - 1 = -18

b)The marginal PDF fx(x) is given by: fx(x) = (\(2\sqrt{(r^2 - x^2))/(\pi r^2}\)), for -r < x <r

c) the marginal PDF fy(y) is given by: fy(y) = (\(2\sqrt{(r^2 - y^2))/(\pi r^2}\)), for -r < y < r

To find the marginal probability density functions (PDFs) fx(x) and fy(y) from the joint PDF fX,Y(x, y), we need to integrate the joint PDF over the appropriate range.

b) To find the marginal PDF fx(x), we integrate fX,Y(x, y) with respect to y while considering the range of x:

fx(x) = ∫fX,Y(x, y) dy

Since the joint PDF is defined over the circle \(x^2 + y^2 < r^2\), the integration limits for y will be -\(\sqrt{r^2 - x^2)}\) to \(\sqrt{r^2 - x^2)}\)

fx(x) = ∫\([-\sqrt{(r^2 - x^2)}\), \(\sqrt{(r^2 - x^2}\))] (1/(πr^2)) dy

Integrating, we get:

fx(x) = (\(1/(\pi r^2)\)) * 2\(\sqrt{(r^2 - x^2}\)

Therefore, the marginal PDF fx(x) is given by:

fx(x) = (2\(\sqrt{(r^2 - x^2}\)/(\(\pi r^2\)), for -r < x < r

c) Similarly, to find the marginal PDF fy(y), we integrate fX,Y(x, y) with respect to x while considering the range of y:

fy(y) = ∫fX,Y(x, y) dx

Since the joint PDF is defined over the circle\(x^2 + y^2 < r^2\), the integration limits for x will be -\(\sqrt{r^2 - y^2}\)) to \(\sqrt{(r^2 - y^2}\)).

fy(y) = ∫[-\(\sqrt{r^2 - y^2}\), √\(\sqrt{r^2 - y^2}\)] (\(1/(\pi r^2\))) dx

Integrating, we get:

fy(y) = (1/\((\pi r^2\))) * 2\(\sqrt{r^2 - y^2}\))

Therefore, the marginal PDF fy(y) is given by:

fy(y) = \(2\sqrt{(r^2 - y^2))/(\pi r^2}\) for -r < y < r

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Answer:

-6 because -6 times -6 is a positive 36 negative times negative is positive

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Okay so basically. The "-6" and the fact that the answer is a positive number shows that X must be a negative number. So let us set "-6" as a positive number. Divide 36 by 6 and the answer is = 6. Add a negative sign and X is -6.

Answer:

see attached

Step-by-step explanation:

Answer: A variable can be used to represent an unknown amount in an expression or equation. A variable is a letter or symbol that stands in for an unknowable quantity.

Step-by-step explanation:

Therefore, the value of the equation \(f(x) = x^2 + 3\) is \(19.\)

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

\(f(x) = x^2 + 3\)

when \(x=-4\) so,

\(f(-4)=(-4)^2+3\\\\f(-4)=16+3\\\\f(-4)=19\)

Hence, the value of the equation \(f(x) = x^2 + 3\) is \(19.\)

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Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step:ex:pla:nation

Answer:

f(x)=(6x+6)(x+10)

Explanation:

Given the quadratic expression:

First, we can rewrite it in the form below:

Next, factor the terms:

Thus, the quadratics as a product of two binomials is: