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To construct a spreadsheet simulation model that simulates 1,000 rolls of a die with the six sides numbered 1, 2, 3, 4, 5 and 6, the following steps should be followed.

Step 1: Open Microsoft Excel and create a new spreadsheet.Step 2: In cell A1, write the word "Roll". In cell B1, write the word "Outcome".Step 3: In cell A2, type the number "1". In cell B2, enter the formula "=INT(RAND()*6)+1".Step 4: Select cells A2:B2, and drag them down 999 rows.

This will create 1,000 dice rolls.Step 5: Select the data in cells A1:B1000 and click the "Insert" tab at the top of the screen. Click on the "Column" chart icon and select the type of histogram that you want to use.

Step 6: To label the x-axis and y-axis, right-click on the chart and select "Chart Elements". Choose "Axis Titles" and enter "Outcome" for the y-axis and "Roll" for the x-axis.

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9514 1404 393

Answer:

  a) x = 14

  b) NP = 2 2/9; NL = 2 7/9

Step-by-step explanation:

a) The similarity statement tells you that angle P and angle L have the same measure:

  angle L = angle P

  3x +18 = 60

  x + 6 = 20 . . . . . divide by 3

  x = 14 . . . . . . . . . subtract 6

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b) The proportional segments are ...

  PN/NQ = LN/NM

  y/3.2 = (5 -y)/4

  5y = 4(5 -y) . . . . . multiply by 16

  9y = 20 . . . . . . . . add 4y

  y = 20/9 = NP

  5 -y = (45 -20)/9 = 25/9 = NL

The answers to the following questions of negative exponent are as follow:

Simplified expression

A negative exponent can be defined as a value that possesses a power that is negative. It is the opposite of positive exponent because it deals with negative power.

In conclusion, The answers to the following questions are listed above according to their respective order.

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Tara will pay £504 for 6 nights. The 25% discount reduces the room price to £90 per night. The total cost for 6 nights is £540. The 20% VAT charge is £36, making the total cost £504.

Tara will pay a total of £504 for 6 nights at the hotel. The regular price of the room is £120 per night, but the hotel has a 25% off sale. This reduces the price to £90 per night. The total cost for 6 nights is therefore £540. On top of this, a 20% VAT charge must be added to the total cost. This charge is calculated by taking 20% of £540, which is £108. When this is subtracted from the total cost, the final amount Tara will pay is £504.

Regular price: £120 x 6 nights = £720

25% discount: £720 x 25% = £180

Total cost: £720 - £180 = £540

VAT charge: £540 x 20% = £108

Total cost: £540 + £108 = £648

Final cost: £648 - £108 = £504

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To solve a question like this, you will need to factorise the first term of the expression out.

So, our expression becomes

Now, you will need to find the factors of 28 whose sum will give you -3

Always remember to express it in terms of x.

The answer to that is -7x and +4x. Thus we can rewrite the expression as;

In summary 3x^2-9x-84​ can be factorized as

To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.

If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:

365/365 * 364/365 * 363/365 * ... * 336/365

This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).

Calculating this probability gives us:

(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

So the probability that no two people in the class share the same birthday is approximately 0.2937.

Using the complement rule, the probability that at least two people in the class share the same birthday is:

1 - 0.2937 = 0.7063

Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.

Answer:

the answer is 35% probability

your welcome

Answer: 43 and 49

Step-by-step explanation:

Answer:

43, 89

Step-by-step explanation:

A prime number is any number above 1 that can evenly divide out.

Hope This Helps :)

Rita's estimate of $50 is a good estimate, but it's not precise. If she works 10 hours a week and makes $9 an hour, her total will be $90. Half of 90 is 45. This means her spending money each week is $45.

Answer:

c is the correct option.

Step-by-step explanation:

The graph curves at y = -2 and above thus for the range of the graph is c.

Answer:

Step-by-step explanation:

18 in every 32 (people or whatever it is) 18/32 then simplify i believe

Step-by-step explanation:

there is no reason in maths only the method

ANSWER

x = 41

EXPLANATION

The given angles are supplementary, so their measures add up to 180°,

Now we have an equation for x. First, add like terms,

Then subtract 16 from both sides of the equation,

And finally, divide both sides by 4,

Hence, x = 41.

The probability that a 3 will be rolled would be 0.125 and the expected number of 6's roll would be 68.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The events' estimated probabilities are as follows, according to the exponential probability theory:

P(3) = 0. 125

P(6 in 500 rolls) = 68 rolls

Number of times event occurs / number of trials

A number of attempts = sum of frequency:

(12+35+11+23+7+12) = 88

So the probability that a 3 will be rolled as

⇒ number of 3's / number of attempts

⇒ 11/88 = 0.125

The number of 6's probable in 500 rolls

⇒ (12 /88) × 500

⇒ 68.18 = 68

Therefore, the expected number of 6's roll would be 68.

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Step-by-step explanation:

Elevator's starting point = -90ft

Elevator's position after 15s = -20ft

The elevator did move upwards as

-20ft. > -90ft.

_________________________________

Distance covered by the elevator = -20 + -90

= -20 + 90

= 70ft.

Time = 15s

Speed = distance/time

= 70/15

= 4.7ft/s

Answer:

The area of B is 8 cm²

Step-by-step explanation:

From the diagram, we can tell that the scale factor is 2 because the length of A is 6 cm and the length of B is 12 cm so the scale factor is 2. Since diagram A's area is 4 cm², all we need to do is multiply the diagram A's area by 2. That gives diagram B's area which is 8 cm²

Answer:

The code will stop when x = 12

Step-by-step explanation:

The code loops until x is less than 12. X cannot be equal to 12 it has to be less than.

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

The numbers written in descending order are

a. To arrange the given numbers in descending order, we start with the largest number, which is 237 and, and then move on to the next smallest number, which is -327, and so on until we reach the smallest number, which is -723

This is repeated for the other set of numbers

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Answer:

E. 3i√3

Step-by-step explanation:

√-27 is √27 times √-1

√-1 is i, so i√27

√27 = 3√3, and then we have:

3i√3 as our answer

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

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Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

π/2, π, (3π)/2

Step-by-step explanation:

cos²θ + cosθ = 0

let y = cosθ.

we have y² + y = 0.

use the quadratic formula:

y = ((-b ± √(b² - 4ac)) ÷ 2a)

=  ((-1 ± √((1)² - 4(1)(0))) ÷ 2(1))

= (-1 ± 1) / 2

= 0 or -1.

so y = 0 or -1.

that means cosθ = 0 or -1.

cosθ = 0, θ = arcos 0 = π/2, (3π)/2

cosθ = -1, θ = arcos (-1) = π.

the solutions are π/2, π, (3π)/2.

see attachment for graph. the dots mark the solutions

\(\cos^2(\theta )+\cos(\theta )=0\implies \cos(\theta )( ~~ \cos(\theta )+1 ~~ )=0 \\\\[-0.35em] ~\dotfill\\\\ \cos(\theta )=0\implies \theta =\cos^{-1}(0)\implies \theta = \begin{cases} \frac{\pi }{2}\\[1em] \frac{3\pi }{2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cos(\theta )+1=0\implies \cos(\theta )=-1\implies \theta =\cos^{-1}(-1)\implies \theta =\pi\)

Answer:

x = 4

y = 11

Step-by-step explanation:

Set  your formula as follow:

2x+3=3x-1 -> 2x+3-3x=-1  -> -x+3 = -1 -> -x=-4 -> x=4

now substitute x for 4 in the following

y-2=2(4)+1 -> y-2=8+1 ->y-2 = 9y -> y=11

Answer:

x= 4

y+11

Step-by-step explanation:

Answer:

   A=312m

Step-by-step explanation:

View image attached

Answer:

since the value is zero, so the decimal of zero is 100

Answer:

5300

Explination:

3 × (10 × 10) + 5 × (10 ×10 × 10) = 5300

oder of operation, this is the order you do an equation.

Brakets first ( )

Exponets 'power of'

Devision ÷

M multiplication ✖

A addition ➕

S subtraction ➖

Answer:

sxqdwbvgefccsgcvnevn veb ehev ev nnmb

Step-by-step explanation:

Answer:

Disconformity.

Nonconformity.

Angular unconformity.

Paraconformity.

Buttress unconformity.

Blended unconformity.

Step-by-step explanation:

There are all the Non-conformities so pick the odd one that doesn't have these

To complete the square for the equation \(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to choose h = -2.

To complete the square for the given equation

\(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to express the left-hand side of the equation in the form

\((x - p)^2 + q\), where p and q are constants.

We can start by expanding the right-hand side of the equation:

\((x - h)^2 + 16 = x^2 - 2hx + h^2 + 16\)

Now we can compare the coefficients of \(x^2\), x, and the constant term on both sides of the equation:

\(x^2 + 8x + 32 = (x - p)^2 + q\)

=> \(p^2 = 0\) (since the coefficient of \(x^2\) is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = \(h^2 + 16\) = 20 (since the constant term on the right-hand side is 16)

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The complete question may be:

What value of h is needed to complete the square for the equation \(x^2+8 x+32=(x-h)^2+16\) ?

If 55% of the students are girls, 45% of the students are boys

It means there are 810 boys. From this number, 70% take the bus to school

It means 567 boys take the bus to school.