A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.

Answer:

the answer is c

Step-by-step explanation:

if it is a right triangle most of the time the 2 acute angles will most likely be 45 degrees

Answer:C.45 degrees

Step-by-step explanation:

135º+yº=180º

y=180º-135º

y=45º

Answer:

The set of probabilities associated with the values in a random variable's sample space is called the probability distribution. It provides the probability of each possible outcome or value that the random variable can take.

Step-by-step explanation:

The probability distribution can be represented in various forms, depending on the type of random variable. For discrete random variables, the probability distribution is often presented as a probability mass function (PMF), which assigns a probability to each possible value. For continuous random variables, the probability distribution is typically described by a probability density function (PDF), which specifies the likelihood of the variable falling within a certain range of values.

For example, let's consider a random variable X that represents the outcome of rolling a fair six-sided die. The sample space of X consists of the values {1, 2, 3, 4, 5, 6}. The probability distribution or PMF for X would assign a probability to each of these values.

Assuming the die is fair, each outcome has an equal probability of occurring, so the PMF for X would be:

P(X = 1) = 1/6

P(X = 2) = 1/6

P(X = 3) = 1/6

P(X = 4) = 1/6

P(X = 5) = 1/6

P(X = 6) = 1/6

These probabilities sum up to 1, indicating that the probabilities assigned to all possible values of X cover the entire sample space.

Answer:

y=-3/4x-3

Step-by-step explanation:

Multiple Regression is the regression analysis involving one dependent variable and more than one independent variable.

A regression is a technique that relates a dependent variable [response]  to one or more independent (explanatory) variables.

The linear regression equation is in the form, y = mx + b ., where X is an Independent variable and Y is a Dependent variable.

Multiple regression is a  technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.

Y = a + b₁X₁+ b₂X₂ + .........+ bₙXₙ

Hence, Multiple Regression analysis involving one dependent variable and more than one independent variable.

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The point of the interval for the function h(x) on the interval {−2,4} is (4, -311).

The average rate of change of the function g(π) = 6,1−θ in the interval (−3,1) is (21/4 - θ/4).

Given the functions w(x)+4x^3=7 and h(x)=9−5x^3 on the interval {−2,4}, we need to find the point of the interval for h(x) and the average rate of change of the function g(π) = 6,1−θ in the interval (−3,1).

Point of the interval for h(x):

We have the function h(x) = 9−5x^3 on the interval {−2,4}. To find the point of the interval, we evaluate h(-2) and h(4) as follows:

h(-2) = 9−5(-2)^3 = 49

h(4) = 9−5(4)^3 = -311

Therefore, the point of the interval is (4, -311).

Average rate of change of the function g(π) = 6,1−θ in (−3,1):

The given function is g(π) = 6,1−θ in the interval (−3,1). To find the average rate of change, we use the formula:

Average rate of change of the function = (change in the function) / (change in the independent variable).

The change in the independent variable is (1) - (-3) = 4. We evaluate g(1) and g(-3) as follows:

g(1) = 7 - θ

g(-3) = -14

Putting the values of g(1) and g(-3) in the formula, we get:

Average rate of change of the function = (7 - θ + 14) / 4 = (21/4 - θ/4).

Therefore, the average rate of change of the function is (21/4 - θ/4).

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Answer:

y = \(\frac{1}{2}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-2}\) = \(\frac{1}{2}\)

The line crosses the y- axis at (0, 1) ⇒ c = 1

y = \(\frac{1}{2}\) x + 1 ← equation of line

Answer:

It is 2 which represents 20,000

Answer:

37.25

Step-by-step explanation:

I THINK

Answer:

y=4x-9

Step-by-step explanation:

The solution is Option C and Option D.

The exponential function is given by f ( x ) = 2 ( 3 )ˣ

The exponential function is given by f ( x ) = 800 / 4ˣ

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

Let the x values be x = { 0 , 1 , 2 , 3 }

Let the y values be y = { 7 , 19 , 31 , 43 }

The equation of line is y = 12x + 7

This is a linear equation

b)

Let the x values be x = { 0 , 1 , 2 , 3 }

Let the y values be y = { 5 , 10 , 15 , 30 }

The equation is a quadratic equation

c)

Let the x values be x = { 0 , 1 , 2 , 3 }

Let the y values be y = { 2 , 6 , 18 , 54 }

The equation is y = 2 ( 3 )ˣ

This is an exponential function

d)

Let the x values be x = { 0 , 1 , 2 , 3 }

Let the y values be y = { 800 , 200 , 50 , 12.5 }

The equation is f ( x ) = ( 800 / 4ˣ )

This is an exponential function

Hence , the exponential equations are solved

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The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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Answer:

A. 6(n + 8) = 19

Step-by-step explanation:

Look for key words.

6 times the sum of a number and 8 is nineteen.

From these key words it is clear that the solution is 19, you are adding an unknown number (a variable, which we will represent with x) to 8, and multiplying our (x+8) by 6.

Write out the equation.

6(n + 8) = 19

Don't know how clear this is, but I hope it helped you figure this out!

Answer:

sorry i dont know

Step-by-step explanation:

Answer:

Sorry for the long wait i was taking my cumulative exam for precal and it took a bit but i hope im correct. My brain is fried and dont know if i even came close.

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

D

Step-by-step explanation:

When we talk of the range, that means the difference between the highest and the lowest figure in the data set

The mean refers to the sum of the values in the data set divided by the count of the value in the data set.

let’s take a look at data set option A;

mean = [4(14) + 2(7)]/6 = (56 + 14)/6 = 70/6 which is definitely not 14 which makes the option wrong

Let’s take a look at option C

mean = {13(3) + 15)3)}/6 = (39 + 45)/6 = 84/6 = 14

While the range is 15-13 = 2 which does not make it right too

Now, a look at option D

mean = (13 + 12 + 15 + 15 + 11 + 18)/6 = 84/6 = 14

range = 18-11 = 7 (highway number in the set minus lowest number)

This makes option D our answer

Answer:

2. Divide the difference by the original number.3. Multiply it by 100.

Hope this helps :)

im late but

B. (-2)(4)

have a good day <3

Answer:

6259/500

Step-by-step explanation:

fractional form of 12.518

12.518 = 12518/1000

6259/500

Answer:

Just the slope

Step-by-step explanation:

Usually for perpendicular line problems, you're either given the slope of one line or have to find it by converting from standard form to slope-intercept form.  Then, you use a formula like m2 = -1/m1, where m2 is the slope of the other line and m1 is the slope of the line you're given/have found.

In order to find the y-intercept of the other line, the problem usually gives you a coordinate through which the line passes.  Then, when find the slope of the other line, you plug in the coordinates into the slope-intercept form to find the y-intercept.

And of course, there are some problems that only focus on slope and disregard finding the entire line.

The outliers in the given data set are:-10 (less than -6),73 (greater than 34)a. The outliers in the given data set are:

-10, -8, 9, 10, 11, 13, 14, 16, 19, 35, 73

b. To determine the first quartile (Q1) and the third quartile (Q3), we need to find the median (Q2) first. Since the data set has an odd number of values, the median is the middle value:

Median (Q2) = 11

Now, we divide the data set into two halves:

First half: -10, -8, 9, 10, 11

Second half: 13, 14, 16, 19, 35, 73

Q1 is the median of the first half:

Q1 = Median of (-10, -8, 9, 10, 11)

  = 9

Q3 is the median of the second half:

Q3 = Median of (13, 14, 16, 19, 35, 73)

  = 19

c. The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):

IQR = Q3 - Q1

   = 19 - 9

   = 10

d. To find the outliers, we use the outlier formula:

Outliers = values not in the range [Q1 - (1.5 * IQR), Q3 + (1.5 * IQR)]

Lower limit = Q1 - (1.5 * IQR)

           = 9 - (1.5 * 10)

           = 9 - 15

           = -6

Upper limit = Q3 + (1.5 * IQR)

           = 19 + (1.5 * 10)

           = 19 + 15

           = 34

Any value in the data set that is less than -6 or greater than 34 is considered an outlier.

The outliers in the given data set are:

-10 (less than -6)

73 (greater than 34)

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The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Answer:

x=74º

Step-by-step explanation:

this is an isosceles triangle based on the two side lengths being the same

so 180=32+2x

148=2x

74=x

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

l:4

w: 3

l:4

w:1

Step-by-step explanation:

Hope this helps

Answer:

the answer is 9.

Step-by-step explanation:

the square root of 80 is 8.99443, and if you round that to the nearest integer the answer is 9.

hope this helps! best of luck! <3

Answer:

9

Step-by-step explanation:

it is 8.944, which is the most close to 9 because if the tenths place after the decimal point is greater than 5, it is closer to the integer that is one greater than the ones place.If the tenths place after the decimal point is less than 5, it is closer to the integer that is one less than the ones place.

examples: 5.43 is closer to 5  than to 6.

4.1 is closer to 4 than to 5.

1.8 is closer to 2 than to 1.

Answer:

99.5%

Step-by-step explanation:

It is because 99.5% is in the middle of 99% and 100%

The equation of the line is x = 25, in accordance with the given conditions.

Given:

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

The slope of the first line = \(\frac{1}{0}\) , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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