someone please help mee

prove LMN = LMO

The probability the ball drawn from the second box is red, is 17/56.

In a box are 7 red balls and 8 blue balls.

From this box are drawn 4 balls and placed in a second box.

We have to determine the probability the ball drawn from the second box is red.

The total number of balls = Red Balls + Blue Balls

The total number of balls = 7 + 8

The total number of balls = 15

The number of balls placed in second balls = 4

The number of combination of balls in box 2.

BBBB, BBBR, BBRR and BRRR

Then, one ball is drawn from the second box.

The probability the ball drawn from the second box is red.

P(Ball is red in the second box) = P(BBBB) + P(BBBR) + P(BBRR) + P(BRRR)

P(Ball is red in the second box) = \(\frac{^{5}C_{4}}{^{8}C_{0}}(0)+\left(\frac{^{5}C_{3}\times ^{3}C_{1}}{^{8}C_{4}}\right)\times\frac{^{1}C_{1}}{^{4}C_{1}}+\left(\frac{^{5}C_{2}\times ^{3}C_{2}}{^{8}C_{4}}\right)\times\frac{^{2}C_{1}}{^{4}C_{1}}+\left(\frac{^{5}C_{1}\times ^{3}C_{3}}{^{8}C_{4}}\right)\times\frac{^{3}C_{1}}{^{4}C_{1}}\)

P(Ball is red in the second box) = \(0+\left(\frac{30}{70}\times\frac{1}{4}\right)+\left(\frac{30}{80}\times\frac{1}{2}\right)+\left(\frac{5}{70}\times\frac{3}{4}\right)\)

P(Ball is red in the second box) = 3/48 + 3/16 + 3/56

P(Ball is red in the second box) = (21 + 63 + 18)/336

P(Ball is red in the second box) = 102/336

P(Ball is red in the second box) = 17/56

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Answer:

(1/2) and 9/10

Step-by-step explanation:

\(\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}\)

Answer:

x=29. Angle C= 93

Step-by-step explanation:

3(x+2)= 3x+6.

3x+6+52+35= 3x+93.

180-93=87.

87/3= 29. So that means x=29.

for proof you can do 3(29)+93 and you'll get 180.

For angle C; 3(29+2)= 3x31. 31x3= 93.  

Angle C= 93 degrees.

Answer:

See explanation

Step-by-step explanation:

Required

The significance of "a" in exponential function

An exponential function is represented as:

\(y = ab^x\)

In the above equation, parameter "a" is the initial value of the function

In other words, the value of the function when x = 0

Take for instance;

\(y = 2*4^x\)

\(a = 2\) because when \(x = 0\)

\(y = 2 * 4^0\)

\(y = 2 * 1\)

\(y = 2\)

Another significance of parameter a is that; it is the y-intercept of the geometric function.

Answer:

52 ft squared

Step-by-step explanation:

1. Draw the picture with measurements

2. Decompose each shape

3. Find the area of each (l*w)

4. Add each measurement up

20cm

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dbdjdldownnwkdldkwjw

dbk202$;%%

The lengths for the missing side of each case, determined by the use of trigonometric functions, are listed below:

Case D: 50.513

Case E: 46.165

Case F: 2.052

In this problem we have three cases of right triangles, each of which has an unknown side length. Each length can be found by using trigonometric functions. Now we proceed to determine it for each case:

Case D

tan 29° = 28 / x

x = 28 / tan 29°

x ≈ 50.513

The missing side length is approximately 50.513 units.

Case E

tan 18° = 15 / x

x = 15 / tan 18°

x ≈ 46.165

The missing side length is approximately 46.165 units.

Case F

cos 70° = x / 46

x = 46 · cos 70°

x ≈ 2.052

The missing side length is approximately 2.052 units.

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In the triangle, value of n is,

n = 16

We have to given that;

In triangle KMN,

MN = 24 yards

KL = 30 yards

LM = 15 yards

Hence, By proportionality theorem we get;

⇒ MN / KM = OL / KL

⇒ 24 / 45 = n / 30

Solve for n;

⇒ 24 × 30 / 45 = n

⇒ n = 16

Thus, In the triangle, value of n is,

n = 16

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Answer:

Step-by-step explanation:

2 real roots and 2 complex

Following are the solution to the given polynomial equation:

Given:

Polynomial equation: \(\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}\)

Factor: \(\bold{(x -3)}\)

To find:

A number of roots for the polynomial n(x).

Solution:

Polynomial equation: \(\bold{n(x) = 3x^4 - 9x^3 + x^2 -3x}\)

\(\to \bold{(x -3)=0}\\\\\to \bold{x =3}\\\\\)

Putting the of x into the given Polynomial function:

\(\to \bold{n(3) = 3(3)^4 - 9(3)^3 + (3)^2 -3(3)}\\\\\to \bold{n(3) = 3\times 81 - 9\times 27 + 9 -3 \times 3}\\\\\to \bold{n(3) = 243- 243 + 9 -9}\\\\\to \bold{n(3) = 0}\\\\\)

Let divide the Polynomial function by the factor:

\(\to \bold{\frac{3x^4 - 9x^3 + x^2 - 3x}{x-3}}\\\\\to \bold{\frac{ x(3x^3 - 9x^2 + x - 3)}{x-3}}\\\\\to \bold{\frac{ x(3x^2(x - 3)+1(x - 3))}{x-3}}\\\\\to \bold{\frac{ x(x - 3) (3x^2+1)}{x-3}}\\\\\to \bold{x(3x^2+1)}\\\\\)

So, the factors are \(\bold{x, (x-3),\ and \ (3x^2+1)}\).

Calculation of the roots:

\(\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x-3=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2+1 =0}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x^2 = -1}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = -\frac{1}{3}}\\\\\bold{x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ x=3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^2 = (- \sqrt{\frac{1}{3}})^2}\\\\\)

Therefore the final answer is "Option A".

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Answer:

$28.91

Step-by-step explanation:

Answer:

The answer 58

Mark as the Brainliest

The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The area of the circle is 9π. Then the radius of the circle is given as,

A = π

πr² = π

r² = 1

The center of the circle is at (-7, -15). Then the equation of the circle is given as,

(x + 7)² + (y + 15)² = 1

The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.

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Answer:

The propagated error in the volume of the spheres is approximately 0.628 cm^3.

Step-by-step explanation:

To calculate the propagated error in the volume of the spheres, we need to consider the accuracy of the manufacturing process. In this case, the process is accurate to 1 mm (0.1 cm) for the diameter of the spheres.

The formula for the volume of a sphere is V = (4/3) * π * r^3, where r is the radius. Since the diameter of the spheres is given as 10 cm, the radius is half of the diameter, which is 5 cm.

To calculate the propagated error, we first need to find the change in volume due to the manufacturing accuracy. The change in radius can be calculated as 0.1 cm. Substituting this change in radius into the formula, we can calculate the change in volume:

ΔV = (4/3) * π * (r + Δr)^3 - (4/3) * π * r^3

Simplifying and substituting the values, we have:

ΔV = (4/3) * π * (5 + 0.1)^3 - (4/3) * π * 5^3

Calculating this expression yields approximately 0.628 cm^3 as the propagated error in the volume of the spheres.

This means that due to the manufacturing process accuracy of 1 mm, each sphere's volume can deviate by approximately 0.628 cm^3 from the ideal volume calculated using the given diameter.

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Answer:

Yes it is correct answer

                                                        Answer

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Answer:

solving we get Solution set = {4,0}

Step-by-step explanation:

We are given system of equation:

\(9x + 4y = 36---eq(1)\\6x + 2.5y = 24---eq(2)\)

Multiply eq(1) by 2 and eq(2) by -3

\(18x \ \ + 8y \ \ \ = 72\\-18x - 7.5y = -72\\---------\\0.5y=0\\y=0\)

We get y=0,

Now finding x by putting value of y in eq(1)

\(9x + 4y = 36\\9x+4(o)=36\\9x=36\\x=\frac{36}{9}\\x=4\)

So, solving we get Solution set = {4,0}

The statistic that can be used to objectively quantify the level of agreement between different screeners appraising an article in a systematic review is the inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa.

In a systematic review, multiple screeners may independently appraise articles to ensure consistency and minimize bias. The inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa, is used to measure the agreement between these screeners. These statistics provide a quantitative measure of the extent to which the screeners' assessments align with each other beyond what would be expected by chance. Higher values of the inter-rater reliability coefficient indicate greater agreement among the screeners, suggesting more reliable and consistent evaluations of the articles in the systematic review.

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Answer:

10 minutes

Step-by-step explanation:

just divide 20 by 2 to get the minutes also WHO WALKS THAT SLOW?!??!?!

The function "fig" is not defined in the given information, without its definition, we cannot determine the domain of the function for the given expressions: f(x) = x + 99 & g(x) = x²

(a) (r + g)(x) = r(x) + g(x) = (x - 8) + (x² - 8) = x² + x - 16

(b) (-9)(x) - 8 = - 9x - 8

(c) (f)(x) = f(x) = x + 99(x) = x²(f/g)(x) = f(x) / g(x) = (x + 9) / x

The domain of the given figure is not given, hence we can not find the domain of fig.

f(x) = x + 99

The function f(x) is defined as the sum of x and 99.

g(x) = x²

The function g(x) is defined as the square of x.

(a) (r+g)(x) = ?

The expression (r+g)(x) represents the sum of two functions, r(x) and g(x).

However, the specific definitions of r(x) and the value of x are not provided.

Therefore, we cannot determine the result without more information.

(b) (-9)(x) - ?

The expression (-9)(x) represents the product of -9 and x.

However, a specific value for x is not given, so we cannot compute the result without more information.

(c) (f)(x) = (a)

The expression (f)(x) represents the function f(x).

Since f(x) is defined as x + 99, we have (f)(x) = x + 99.

The result (a) is the same as the function itself, which is x + 99.

(d) (f/g)(x) = ?

The expression (f/g)(x) represents the quotient of two functions, f(x) and g(x).

Therefore, we need to divide f(x) by g(x), which gives us:

(f/g)(x) = (x + 99) / (x²)

(e)The domain of fig:

The function "fig" is not defined in the given information. Without its definition, we cannot determine the domain of the function.

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Answer:(3,5)(3,-4)(8,-4)

Step-by-step explanation:

Answer:

The First Table

Step-by-step explanation:

2 times 1.5 equals 3

5 times 1.5 equals 15/2

2 times 4 equals 8

5 times 4 equals 20

Answer:

25

Step-by-step explanation:

2^4 = 16

3^2 = 9

9 + 16 = 25

The balance after investing into an IRA retirement account after 3 years is $20,930.10.

Lets try to solve this question

Suppose that each year we invest $6000 into a both IRA retirement account that gives 6% interest every year. Interest is computed on the ending balance at the end of each year.

Lets assume that the deposit is made at the end of each year.

To find the value of Bₙ(Bₙ is the balance after nth year), we need to think of how we will have arrived at Bₙ-1(balance after n-1 year).

If we invest $6000 for n years at 6% interest, compounded annually, we will have an amount of $6000(1 + 0.06) after the first year since the interest is calculated at the end of each year.

Bₙ = Bₙ-1 + 6000(1 + 0.06) where B₀ = $0(B₀ is the inital balance)

The balance after 1 year is $6,360.

Similarly the balance after 2 years is

B₂ = B₂-₁+ 6360(1 + 0.06)  =6360 + 6741.6=13101.6

$13101.60.

And the balance after 3 years is

B₃ =19101.6(13101.6+6000 added) + 19101.60(0.06)(interest of total balance at the end of year)

$20,247.69.

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The greatest common factor ( GCF ) of 21 , 14 and 7 is given by A = 7

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the GCF of the numbers be represented as A

Now , the equation will be

Let the first number be p = 21

Let the second number be q = 14

Let the third number be r = 7

Now , the factors of 21 = 1 , 2 , 3 , 7 and 21

The factors of 14 = 1 , 2 , 7 and 14

The factors of 7 = 1 and 7

So , the greatest common factors of 21 , 14 and 7 is 7

Hence , the GCF is 7

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Answer:

Circle

Step-by-step explanation:

Answer: helllloooooooooooooo000000oooo

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Area of the triangle is 24

Area of rectangle is 16

16+24=40

So to find Area, use the formulas:

A = Length x Height       (Rectangle)

A = Base x Height / 2     (Triangle)

Rectangle:

A = L x H

A = 8 x 2 = 16

Triangle:

A = B x H /2

A = 8 x 6 / 2 = 48/2 = 24

16 + 24 = 40

The Composite Figure Area is 40in.

Answer:

Angle 2 is the answer

Step-by-step explanation:

Hope it help you friend

Answer: 20

Step-by-step explanation:

The area of a quadrilateral with given vertices is 20 square units.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

We have to determine the area of a quadrilateral with vertices at (-6,6), (-1,6),(-6,10), and (-1,10).

As per the attached graph, we can see that the dimensions of the rectangle are as follows:

Length (L) = 5 units

Width (W) = 4 units

Area of the rectangle = L × W

Area of the rectangle = 5 × 4 = 20 square units

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