Question
A couple plans to have 5 children. The gender of each child is equally likely. Design a simulation involving 120 trials that you can use to model the genders of the children. Write your answers as numbers.

Answer:

a) x=-2 then y=10

   x=-1 then y=5

   x=1 then y=1

   x=3 then y= 5

b)x=-0.8;x=2.8

Step-by-step explanation:

a) We have the formula \(y=x^{2} -2x+2\)

Instead of x, we will plug in the given value to find y.

If x=-2:

\(y=(-2)^{2} -2*(-2) +2\\y=4+4+2\\y=10\)

If x=-1:

\(y=(-1)^{2} -2*(-1)+2\\y=1+2+2\\y=5\)

If x=1:

\(y=1^{2} -2*1+2\\y=1-2+2\\y=1\)

If x=3:

\(y=3^{2} -2*3+2\\y=9-6+2\\y=5\)

b) We know when x=0 then y=2

We need to move two boxes up to get to y=4

We can estimate that x = -0.75;x=2.75

We are supposed to round it to the 1. decimal place.

x=-0.8;x=2.8

Answer:

a) x=-2 then y=10

  x=-1 then y=5

  x=1 then y=1

  x3 then y= 5

b)x=-0.8;x=2.8

Step-by-step explanation:

your formula

Answer:

b only

Step-by-step explanation:

Answer:

orange = Third (10000)

green = Fourth (0.01)

blue= First(0.0001)

purple = Second(0.000001)

Step-by-step explanation:

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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Answer:

Graph D (last graph)

Step-by-step explanation:

y + 2 > 5

first subtract 2 from both sides

y > 3

Now that we know the solution to y we can plot it. We know it must start at 3, but also not be included because our solution is not ≥. This means we have an open box at 3 and an arrow in the positive direction.

Answer:

  (a)  0.0062

Step-by-step explanation:

You want the probability P(X > 14.5) given that X has a normal distribution with mean 2 and variance 25.

This probability can be found using a suitable calculator or spreadsheet. The calculator in the attachment specifies the normal distribution using mean and standard deviation, so we need to find the square root of the variance.

  P(X > 14.4) ≈ 0.0062

<95141404393>

Considering the dot plot and visual inspection, it is likely that group B has a lower mean. The reason for this is because it has a higher proportion of it's measures to the left of the dot plot than group A.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

The dot plot shows the number of instances that each observation appeared in the data-set, hence we use it to identify the position of the measures.

Group B has more dots at the left of the graph, meaning that the smaller measures are more common than in group A, and thus it more than likely has a lower mean.

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Answer: 2 *(3+4)= (2x3)+ (2x4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

−4−(−7)=

The opposite of −7 is 7.

−4+7

Add −4 and 7 to get 3.

3

Answer:

3

Step-by-step explanation:

Think of -4-(-7) as -4+7

just remove the negative and add instead

your answer is 3

The height as a z-score round to the nearest hundredth is 7.21

The Z-value (sometimes referred to as Z-score or simply Z) represents the number of standard deviations an observation is from the mean for a set of data. In order to calculate probability and use the attributes of the standard normal, we can transform any normal distribution into the standard normal distribution. We make advantage of the z-value to do this.

To find the z-score for a particular observation we apply the following formula:

Z= (observed value - mean)/SD

The maximum possible Z-score for a set of data is (n-1)/ √n

Given, n = 54

(n-1)/ √n => 53/√54 => 53/7.348 => 7.212

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Answer:

The cost of Ticket = £63Booking Fee = 3% = 63*(3/100) = 1.89 = £ 1.89The total price of the ticket = £63 + £1.89 = £64.89. Therefore, the total price of the ticket is £64.89.

The unit rate in acres of land planned by the workers per day is found is 16/35 acres.

For the mentioned question-

Total acres of land planted = 2/5 acres.

Total time taken = 7/8 days.

Thus, unit rate in acres per day = Total acres of land planted / Total time taken

unit rate in acres per day = (2/5) / (7/8)

unit rate in acres per day = (2*8)/(5*7)

unit rate in acres per day = 16/35

Thus, unit rate in acres of land planned by the workers per day is found is 16/35 acres.

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The new location of Point A is (3, 5). This is because the x-coordinate remains unchanged, while the y-coordinate is inverted, making it positive.

Point A is located at (3, -5). To reflect this point over the x-axis, we need to calculate the new coordinates. First, we will note that the x-coordinate remains unchanged. This means that the new x-coordinate is 3. Secondly, we will note that the y-coordinate needs to be flipped, meaning it will become positive. To do this, we will take the opposite of the original y-coordinate. Since the original y-coordinate is -5, the new y-coordinate will be 5. Therefore, the new location of Point A is (3, 5).

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The indefinite integral of \(x^4 ln(1 + x)\) can be expressed as a power series with radius of convergence equal to 1.

To find the power series representation of the given integral, we start by using integration by parts with\(u = ln(1 + x)\)  and \(dv = x^4 dx\). This gives us:

integral of \(x^4 ln(1 + x) dx = x^4 (ln(1 + x) - 1) - 4x^3 + 12x^2 - 24x + 24 + C\)

where C is the constant of integration.

Next, we can express ln(1 + x) - 1 as a power series, as follows:

ln(1 + x) - 1 = -Σ\((-1)^n * x^n / n\)   (n=1 to ∞)

Substituting this into the integral expression and simplifying, we get:

integral of \(x^4 ln(1 + x) dx\)= sum from n=1 to ∞ \((-1)^n * x^{n+4} / n(n+4) - 4x^3 + 12x^2 - 24x + 24 + C\)

This is the power series representation of the given integral, with radius of convergence equal to 1 (since the series diverges when |x| > 1).

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Answer: okkkkkk

Step-by-step explanation:

How can I help you?............

\(2x+y-2z=-1\\\\x+0\cdot y-2z=-4\\\\0\cdot x -5y + 2z=-23\\\\\text{In}~ AX =B~ \text{form,}\\\\\begin{bmatrix} 2 & 1&-2\\ 1&0&-2\\ 0&-5&2\end{bmatrix} \begin{bmatrix} x\\y\\z\end{bmatrix}= \begin{bmatrix} -1\\-4\\-23\end{bmatrix}\)

Answer:

Flour & Salt

Step-by-step explanation:

Answer:

- 8 / 3

Step-by-step explanation:

-3x= - 1 + 9

-3x = 8

x= - 8/3

Answer:

-9x-35/21

Step-by-step explanation:

Answer:

\(\frac{5}{7}\)

Step-by-step explanation:

\(\frac{-3}{7}* (-1\frac{2}{3})=\frac{-3}{7}*\frac{-5}{3}\\\\= \frac{5}{7}\)

Answer:

its 34

Step-by-step explanation:

its half of the center angles

Given that each cube represents 1 cubic units, we need to count how many cubes are in the figure.

From the front view, we count 2 cubes.

From the back view, we count 5 cubes.

There are 5 + 2 = 7 cubes in total, so the volume of the figure is 7 cubic units.

Answer:

6

Step-by-step explanation:

The graph of the absolute value function is an inverted "V" such that the vertex is at (-4, -5) and opens downwards.

How to calculate the modular function?

Among modular functions, f(x) = |x| has its domain given by the real numbers and its range given by the positive real numbers. This is because the modular function will make |-y| = -(-y) = y given every negative y-value.

Given modular function is :

y = -|x + 4| - 5.

Hence, to plot the graph of a modular function, we need to determine some values for x and then apply them to the function f(x) = | x |.

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Answer:

x = 50

Step-by-step explanation:

You are correct.

x + m<PQS + m<PSQ = 180

m<PQS = m<QRT = 70

m<QST + m<PSQ = 180

120 + m<PSQ = 180

m<PSQ = 60

x + 70 + 60 = 180

x + 130 = 180

x = 50

Great job!

Answer:

The answer for this is x=-5

Answer:

x=-5

Step-by-step explanation:

-4x+1=21

move the 1 to the right side and subract it so it will turn into -4x=20

divide -4 to get the x by itself and then you will get x=20/-4 this will now divide and be x=-5

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation:

Five million four thousand three hundred can be written in standard form as 5,004,300.

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Answer:

The number five million four thousand three hundred can be written in standard form as `5,004,300`. In scientific notation, it can be written as `5.0043 x 10^6`.

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Answer:

Angle A is 101

Angle B is 79

Angle C is 83

Angle D is 97

Step-by-step explanation:

Vertical angles are congruent, which applies to C.

Lines are parallel so 79 and angle B are the same

Angle a is 101 because its a supplementary angle

Angle D is 97 because its also a supplementary angle so you subtract 83 from 180.

Answer:

Well first you have to remember the plane was supposed to go north

But then he crashed at East so he has to go back to North

Step-by-step explanation:

Let's start by using algebra to solve for the number of boxes in small and large vans.

Let x be the number of small vans and y be the number of large vans. Based on the ratio given, we know that:

- Number of boxes in small vans = 3/8 * Total number of boxes

- Number of boxes in large vans = 5/8 * Total number of boxes

Using the information provided, we can write an equation:

5x + 25y = 400

Simplifying, we get:

x + 5y = 80

Now let's use the inequality provided to determine if less than 30% of the vans filled with boxes are large vans. We know that:

- Total number of vans filled with boxes = x + y

- Less than 30% of these vans are large vans, so y/(x+y) < 0.3

Substituting x + 5y = 80, we can simplify the inequality:

y/(x+y) < 0.3

y/80 < 0.3

y < 24

So if y (the number of large vans) is less than 24, then less than 30% of the vans filled with boxes are large vans.

Now we can solve for x and y using substitution. From x + 5y = 80, we get x = 80 - 5y. Substituting into 5x + 25y = 400, we get:

5(80 - 5y) + 25y = 400

400 - 20y = 400

20y = 0

y = 0

This means that y cannot be less than 24, as y = 0 would result in no large vans at all. Therefore, Hashem's statement is incorrect, and the number of large vans must be equal to or greater than 24.

Answer:

most likely the last choice

Step-by-step explanation:

Answer: during evaporation

Step-by-step explanation: the sun heats up the water which caused it to evaporate