What is the expected number of female children with three children?

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Actually Welcome to the concept of surface areas and volumes.

To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.

Here we divide it into two separate parts. so we get as,

after solving, we get total volume as 1140 cm^3

Answer:

18 sides

Step-by-step explanation:

I'm not sure what the question is, but this is what I think the question is.

"An interior angle of a regular polygon measures 160 degrees. How many sides does the polygon have?"

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180

If the polygon is a regular polygon, then the measure of each interior angle is

(n - 2)180/n

Here, we are told an interior angle measures 160 deg.

(n - 2)180/n = 160

(n - 2)180 = 160n

(n - 2)18 = 16n

(n - 2)9 = 8n

9n - 18 = 8n

n = 18

Answer: 18 sides

To construct and store a 4 x 2 matrix filled row-wise with the given values in R, you can use the following code:

# Create the matrix

myMatrix <- matrix(c(4.3, 3.1, 8.2, 9.2, 3.2, 0.9, 1.6, 6.5), nrow = 4, ncol = 2, byrow = TRUE)

This code creates a matrix called "myMatrix" with 4 rows and 2 columns, filled row-wise with the provided values.

To overwrite the second column of the matrix with the numbers 8, 9, 11, and 17 in that order, you can use the following code:

# Overwrite the second column

myMatrix[, 2] <- c(8, 9, 11, 17)

This code selects the second column of the matrix using the indexing notation [, 2] and assigns the new values using the c() function. The second column is replaced with the numbers 8, 9, 11, and 17.

Finally, to save the updated matrix to an object named "BruceLee", you can use the following code:

# Save the updated matrix

BruceLee <- myMatrix

Now the updated matrix with the overwritten second column is stored in the object "BruceLee" for further use.

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Answer:

360

Step-by-step explanation:

We can create a ratio of drinks to guests

12 drinks : 18 guests can be simplified to 2 drinks : 3 guests

2 drinks are required for every 3 guests

2 : 3

x : 540

We multiplied 3 by 180 to get 540, so we have to multiply 2 by 180 to get x

2 x 180 is 360

The answer is 360 soft drinks

Hope this helps :)

Have a nice day!

9h

9(12)= 108 dollars

The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

The functions are given as:

f(x) = -2(1.07)^x

Table of values for g(x)

x    g(x)

−4    −10

−2 −    7

0        −4

2         1

The y-intercept is when x = 0.

So, we have:

g(0) = -4

Also, we have:

f(0) = -2(1.07)^0

f(0) = -2

-2 is greater than -4 by 2

Hence, the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

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Given statement solution is :-Time cannot be negative in this context, we discard the solution t = -1,  the book will hit the ground after approximately 2.5 seconds.

To find the time when the book hits the ground, we need to determine when the height (h) becomes zero. We can set up the equation and solve for t.

The equation given is:

h = -\(16t^2 + 24t + 40\)

Setting h = 0, we have:

0 = \(-16t^2 + 24t + 40\)

Now we can solve this quadratic equation. There are a few methods to solve quadratic equations, such as factoring, completing the square, or using the quadratic formula. In this case, we'll use the quadratic formula:

t = \((-b ± √(b^2 - 4ac)) / (2a)\)

For our equation, a = -16, b = 24, and c = 40. Plugging these values into the quadratic formula, we get:

t = \((-24 ± √(24^2 - 4*(-16)40)) / (2(-16))\)

t = \((-24 ± √(576 + 2560)) / (-32)\)

t = (-24 ± √3136) / (-32)

t = (-24 ± 56) / (-32)

Now we have two possible solutions:

t = (-24 + 56) / (-32) = 32 / (-32) = -1

t = (-24 - 56) / (-32) = -80 / (-32) = 2.5

Since time cannot be negative in this context, we discard the solution t = -1. Therefore, the book will hit the ground after approximately 2.5 seconds.

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Answer:

4x +8 -x + 10 = x+4

3x+18= x+4

2x= -14

×=-7

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

The values of x, y and z in the parallelogram 1 are x = 80, y = 100 and z = 80

Parallelogram 1

Adjacent angles of a parallelogram add up to 180

So, we have

x = 180 - 100

x = 80

Opposite angles are equal

So, we have

y = 100

z = 80

Using the above theorem, we have the values of x, y and z in the other parallelograms to be

Parallelogram 2

x = 180 - 50

x = 130

y = 130

z = 130 --- by corresponding angle theorem

Parallelogram 3

x = 90 --- by vertical angle theorem

Then, we have

y = 60 --- sum of angles in a triangle

z = 60 --- by corresponding angle theorem

Parallelogram 4

x = 100

y = 80

z = 80 --- by corresponding angle theorem

Parallelogram 5

y = 112

x = 180 - 112 - 40 --- sum of angles in a triangle

x = 28

z = 28  --- by corresponding angle theorem

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The median test score of these grades is option D) 88

The median is the middle value of a dataset when the values are arranged in order from lowest to highest. In other words, it is the value that divides the dataset into two equal halves.

To find the median of the test scores provided by the statistics teacher (93, 72, 80, 95, 90, 70, 91, 85, 86, 100), we first need to arrange them in order from lowest to highest:

70, 72, 80, 85, 86, 90, 91, 93, 95, 100

Next, we find the middle value. Since we have 10 scores, the middle value will be the average of the fifth and sixth scores:

(86 + 90) ÷ 2 = 88

Therefore, the median test score of these grades is 88, which is option D.

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Answer:

24t = amount earned

Step-by-step explanation:

12 dollars per hour

so 12*t

since coach would double all the money they earned, it would mean multiplying 12t by 2 which would make the answer 24t= amount earned

As per the concept of simple interest, the interest amount earned after three years is $306.

To calculate the interest amount earned, we can use the formula:

I = P * r * t

Where:

I = interest earned

P = principal amount

r = interest rate per year (as a decimal)

t = time period in years

Plugging in the values from the problem, we get:

I = $1200 * 0.085 * 3

I = $306

This means that after three years, the bond will be worth the principal amount plus the interest earned, which is:

$1200 + $306 = $1506

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This recursive definition can also be written using a closed-form formula:

\($$a_n=\frac{10^3}{10^{n-1}}$$\)

A recursive definition for the sequence 100, 10, 1, 0.1, 0.01, ... can be given as follows:

Given a sequence of real numbers a₁, a₂, a₃, ..., we can recursively define a new sequence b₁, b₂, b₃, ... by setting

b₁ = a₁/10, b₂ = a₂/10, b₃ = a₃/10, ...

Then we can define the sequence a using a recursive formula as follows:

a₁ = 100a₂ = 10a₃ = 1a₄ = 0.1a₅ = 0.01aₙ = aₙ₋₁/10

where n is a positive integer greater than or equal to 6.

This formula gives the nth term of the sequence without requiring any previous terms to be computed.

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Answer:

2

Step-by-step explanation:

Given

7x + 2 = 16

Subtracting 2 from both sides

7x + 2 - 2 = 16 - 2

7x = 14

Dividing both sides by 7

7x / 7 = 14 /7

x = 2

Hope it will help :)

7+2−2=16−2

7=14

7=14

\( \frac{7x}{7 } = \frac{14}{7} \)

=2

By Using Pythagorean Theorem, the value of x is 6.2 units.

Pythagorean Theorem:

In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of ​​a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c and is often called the Pythagorean equation.

                              a² +b² =c²

Now,

By using the Pythagorean theorem:

Hypotenuse² =  Perpendicular² + Base²

Now,

In the Δ ABD

As given

DB² = DA² + AB²

As given

DB = 13 units

AB = 9 units

Putting values in the above

13² = 9²+ DA²

169 - 81 = DA²

88 = DA²

Now,

In ΔABC

AB² = AC² + CB²

(As given AB = 9 units , CB = x)

9² = AC² + x²

AC ² = 81 - x²

Now in ΔADC.

AD² = AC² + DC ²

As

AC ² = 81 - x²

DC = 13 - x

AD = \(\sqrt{88}\)

(√88)² = 81 -x² +( 13 - x²)

By using the formula (a + b)² = a² + b² + 2ab

    88 = 81 - x² + 13²- 2 × 13 × x + ²

⇒ 88 = 81 - x² + 13² - 26x + x²

⇒ 88-81 - 169 = -26x

⇒ 88-250 =-26x

⇒ -162 = - 26x

x = 6.2 (Approx.)

Therefore the value of x is 6.2 units.

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Answer:

29 is a prime number.

Step-by-step explanation:

"When a number has more than two factors it is called a composite number. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc."

Answer:

First Answer: 12.5 weeks

Third Answer: 16 minutes(I think it was a really long decimal so I rounded it up)

Answer:

C) $90.48

Step-by-step explanation:

72.39*.2=14.478

72.39*.05=3.6195

14.478+3.6195=18.0975

18.0975+72.39=90.4875

Answer:

A.) y = 3/4x + 1

Step-by-step explanation:

First let's find the slope using the slope formula, (y₂-y₁)/(x₂-x₁). The two points given are (0,1)₁ and (4,4)₂. We have to substitute those values.

y₂ = 4, y₁ = 1, x₂ = 4, x₁ = 0 --> (4 - 1)/(4 - 0) = 3/4

The slope is 3/4.

Now, we have to find the y-intercept, which is where the line meets the y-axis. It touches the y-axis at (0,1). The y-intercept is 1.

Finally, we build our equation in slope-intercept form.

y = mx + b

y = 3/4x + 1

Answer:

The answer is (-9, 5). Hope this helps.

Answer:

91 hundreths, (1*1)+(9*1/10), .19

<3 love from maddie

Answer:

(1*1)+(9*1/10) then 91 hundreths and last 0.19

Hope it helps!

Answer:

Hot, Dim, Small

Answer: -135

Step-by-step explanation:

90 + 45 = 135

90 - 135 = -45

I hope this helps

Answer:

D'wayne plans to wallpaper 43.5 square feet of the wall.

Step-by-step explanation:

72.5% = 72.5/100 = 0.725

mulitiply that by 60

= 43.5 square feet

The perimeter of the smaller square is 12 units.

The area of a square is equal to the side length of the square squared. Therefore, the difference in area between two squares is equal to the difference in the side lengths of the squares squared. Since the difference in area between the two squares is 100 square units and the side lengths of the squares differ by 1 unit, we can set up the equation (x + 1)^2 - x^2 = 100, where x is the side length of the smaller square.

Expanding the right side of the equation and solving for x, we find that x = 3. The perimeter of a square is equal to the side length multiplied by 4, so the perimeter of the smaller square is 3 * 4 = 12 units.

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Kara erred when she answered the equation 2x + 6 = -8. Instead, she should have solved the equation 2x + 6 = 8 because it relates to the second situation (where -2x + 6 + 10 is smaller than 0).

Kara made a mistake when solving the equation |- 2x + 6 + 10| = 2. The correct steps to solve this equation are as follows:

First, we need to find the value of -2x + 6 + 10. To do this, we need to remove the absolute value bars by considering two cases:

a. If -2x + 6 + 10 is greater than or equal to 0, then the absolute value is equal to -2x + 6 + 10.

b. If -2x + 6 + 10 is less than 0, then the absolute value is equal to the negative of -2x + 6 + 10.

In the first case, we have -2x + 6 + 10 = 2. Solving this equation gives us x = -1.

In the second case, we have -(-2x + 6 + 10) = 2. Solving this equation gives us x = 7.

Therefore, the solution to the equation |- 2x + 6 + 10| = 2 is x = {7, -1}.

She made a mistake when she solved the equation 2x + 6 = -8. She should have solved the equation 2x + 6 = 8 instead, because this is the equation that corresponds to the second case (where -2x + 6 + 10 is less than 0).

As a result, Kara got the wrong value for x and included the incorrect solution {7, -1} in her final answer.

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Answer:

Spends $20 and she has $5 leftover.

Step-by-step explanation:

The magnitude of Jack’s debt in dollars is $25.50.

The magnitude of an amount is calculated by subtracting the amount from zero.

In this case, Jack has -$25.50 in his bank account.

Hence, the magnitude of his debt can be calculated as follows:

0 – (-25.50) = $25.50.

The term magnitude is defined as the amount or quantity of a particular object that is present. It can vary from situation to situation such as it can be used to explain the distance travelled by a particular moving object from its start point to its end point. Basically, magnitude gives us the size or amount varying on the quantity that is being measured.

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Answer:

the answer is 25.50 so it is B

Step-by-step explanation:

hope this helps good day mate