How to graph
- 3 1/2 on a number line.

Using the binomial probability distribution, the probability of none of the 14 customers ordering a non-alcoholic beverage is approximately 0.000416 or 0.0416%.

We can solve this problem using the binomial probability distribution since we are interested in finding the probability of a specific number of successes (i.e., zero) in a fixed number of independent trials (i.e., 14 customers), where the probability of success (i.e., ordering a non-alcoholic beverage) is known and constant for each trial (i.e., 0.55).

The formula for the binomial probability distribution is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting k successes in n trials

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items, and is calculated as n! / (k! * (n - k)!)

p is the probability of success in each trial

(1 - p) is the probability of failure in each trial

Using this formula, we can calculate the probability of none of the 14 customers ordering a non-alcoholic beverage as follows:

P(X = 0) = (14 choose 0) * 0.55^0 * (1 - 0.55)^(14 - 0)

= 1 * 1 * 0.45^14

≈ 0.000416

Therefore, the probability that none of the 14 customers will order a non-alcoholic beverage is approximately 0.000416, or 0.0416% (rounded to four decimal places).

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- For x less than 0, f(x) is -5.
- For x between 0 and 3, f(x) is 2x - 5.
- For x greater than or equal to 3, f(x) is x - 6.
- Evaluating f(3) results in -3.

The given function is a piecewise function, which means that its definition varies depending on the value of x. In this case, the function f(x) is defined as follows:

- For x less than 0, f(x) is equal to -5.
- For x between 0 (inclusive) and 3 (exclusive), f(x) is equal to 2x - 5.
- For x greater than or equal to 3, f(x) is equal to x - 6.

To evaluate f(3), we need to find the value of f(x) when x is equal to 3.

Since 3 is greater than or equal to 3, the third part of the piecewise function applies. Therefore, we substitute x = 3 into the expression x - 6.

f(3) = 3 - 6
    = -3

Therefore, f(3) is equal to -3.

In summary:
- For x less than 0, f(x) is -5.
- For x between 0 and 3, f(x) is 2x - 5.
- For x greater than or equal to 3, f(x) is x - 6.
- Evaluating f(3) results in -3.

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The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Answer:

Simplify the expression.

3x2/2

hope this makes sense lol

Step-by-step explanation:

Answer:

1.5 : 1 (or) 3/2

Step-by-step explanation:

Given expression,

→ 3x/2x

Let's simplify the expression,

→ 3x/2x

→ (3 ÷ 2)(x ÷ x)

→ (1.5)(1)

→ 1.5

Now the required ratio will be,

→ 3 : 2

→ 1.5 : 1

Hence, required ratio is 1.5 : 1.

6.2w + 18.76 + 1.9w = -16.39 + 4.4w

Put on one side of the equation the w values and in the other sides the number values:

6.2w+1.9w-4.4w= -16.39-18.76

3.7w= -35.15

Divide both sides of the equation by 3.7

3.7w/3.7 = -35.15/3.7

w= -9.5

Step-by-step explanation:

Given angle ABC = 90,

\(x = 90 - 24 - 24 \\ = 90 - 48 \\ = 42deg\)

The profession/group in the survey that gets the least amount of sleep are Lawyers and police officers, according to the less than 6 hours category.

Lawyers and police officers are two groups of professionals who, according to a study, frequently get less than six hours of sleep per night.

Almost a third of all police officers and attorneys reported sleeping less than six hours per night, according to a study by the American Academy of Sleep Medicine.

Sleep deprivation is defined as getting less than the recommended amount of sleep each night.

The National Sleep Foundation recommends that adults get 7-9 hours of sleep per night.

The negative effects of sleep deprivation on health and safety are well documented, and there are numerous reasons

However, some groups are more prone to sleep deprivation than others.

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Answer:

All are rational

Step-by-step explanation:

they all either end, or have never ending digits that repeat in the same pattern

btw 18 square is 324

Answer:

a, b, c, and d

Step-by-step explanation:

this should be the correct answer

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolizes one potential experiment result.

The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolises one potential experiment result.

The sample space is a set in probability theory that includes all potential results of a random experiment. The set of all potential outcomes or outcomes of a random experiment is referred to as a sample space. The set 1, 2, 3, 4, 5, and 6 might be the sample space, for instance, if we are rolling a die.

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the situation, either a finite or infinite sample space

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the nature of the experiment, the sample space may be either finite or limitless. A sample point is a component of the sample space that symbolises one potential result of the experiment. As it offers a framework for defining and computing probabilities, the sample space is a basic idea in probability theory.

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Answer: 22.4$

Step-by-step explanation:

21 divided by 0.75 is 28 28 x 0.8 is 22.4

Answer: So alexis had $80 And he bought a bunch of binders for $23 So If you do the math you will get: $57 But then he buys pens and pencils for $16 So:

$57 - $16 = $41 And then he buys a new backpack for $37. So : $41 - $37 = $4

So yes he had enough to buy all the stuff and still had a little bit leftover!

Hope this helps!

Step-by-step explanation:

To assign "total_owls" with the sum of "num_owls_a" and "num_owls_b", add the values of "num_owls_a" and "num_owls_b" together and assign the sum to "total_owls".

To complete the given task, you need to assign the variable "total_owls" with the sum of two other variables, "num_owls_a" and "num_owls_b". The first step is to identify the values of "num_owls_a" and "num_owls_b". Let's say "num_owls_a" is equal to 5 and "num_owls_b" is equal to 8.

Next, you add these values together: 5 + 8 equals 13. This sum represents the total number of owls. Finally, you assign this sum to the variable "total_owls". Now, whenever you refer to "total_owls", it will represent the value 13. Remember to update the values of "num_owls_a" and "num_owls_b" if you need to calculate the sum again in the future.

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The Law of Sines and the Law of Cosines are essential mathematical tools in trigonometry that play a significant role in solving triangles and analyzing their properties.

The Law of Sines and the Law of Cosines enable us to solve triangles when we have limited information about their angles and sides. They provide formulas that relate the lengths of the sides of a triangle to the measures of its angles, or vice versa.

The Law of Sines is particularly important when dealing with the ambiguous case of solving triangles. This occurs when we have information about an angle, its opposite side, and one other side.

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Answer:

the answer is ice cream parlor and town hall

Step-by-step explanation:

because if you for 3 times right and 3 times up from ice cream parlor it will land to town hall

The total amount of money in the purse was approximately 23 ducats. A man finds a purse with an unknown number of ducats in it. After he spends 1/4, 1/5, and 1/6 of the amount, 9 ducats remain. To find the initial amount in the purse, let's represent it as "x".

He spent (1/4)x, (1/5)x, and (1/6)x. The sum of these fractions plus the remaining 9 ducats equals the total amount:

(1/4)x + (1/5)x + (1/6)x + 9 = x

To solve this equation, first find a common denominator for the fractions, which is 60. Rewrite the equation with the common denominator:

(15/60)x + (12/60)x + (10/60)x + 9 = x

Combine the fractions:

(37/60)x + 9 = x

Now, isolate x on one side of the equation:

9 = (23/60)x

To find x, divide both sides by (23/60):

x = 9 / (23/60)

x = 9 * (60/23)

x = 540/23

Since x represents the number of ducats, it should be a whole number. So, we round it to the nearest whole number:

x ≈ 23

Therefore, there were approximately 23 ducats in the purse initially.

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The apparent weight of the rock when submerged in water is 70 N.

When an object is submerged in a fluid, it experiences an upward buoyant force due to the displacement of the fluid. This buoyant force reduces the apparent weight of the object.

To calculate the apparent weight of the rock when submerged in water, we need to determine the buoyant force acting on it. The buoyant force is equal to the weight of the fluid displaced by the rock.

The volume of the rock is given as 0.00312 m^3. This volume represents the volume of water displaced by the rock when submerged.

The weight of the fluid displaced is equal to the weight of the water with the same volume. The density of water is approximately 1000 kg/m^3, so the weight of the displaced water is:

Weight of displaced water = density × volume × acceleration due to gravity

                        = 1000 kg/m^3 × 0.00312 m^3 × 9.8 m/s^2

                        ≈ 30.816 N

Since the buoyant force is equal to the weight of the displaced water, the apparent weight of the rock when submerged in water is:

Apparent weight = Weight in air - Weight of displaced water

              = 100 N - 30.816 N

              = 69.184 N

Rounding to the nearest Newton, the apparent weight of the rock when submerged in water is 70 N.

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The answer of Area and perimeter will be 60 and 37.2. of that given triangle.

What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle. Triangles can be divided into three types based on the lengths of their sides, and these are: Scalene. Isosceles. Equilateral.

The perimeter will be P = sum of all three side.
Side a = \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\) = 10√2side b = 4√5side c = 10√2height = 6√5Area is = 1/2 (base * height) = 60 cm²Perimeter = a+b+c = 37.2 cm
Hence the Area and perimeter will be 60 and 37.2 respectively.

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Answer:

90

Step-by-step explanation:

60 kmhr for an hour and a half

i hour 60 km

half hour 30 km

60 + 30 =90

Answer:

In Mathematics, surds are the values in square root that cannot be further simplified into whole numbers or integers. Surds are irrational numbers. The examples of surds are √2, √3, √5, etc., as these values cannot be further simplified.

Step-by-step explanation:

The solution of the algebraic expression (8h-1)-(h+ 3) is -25.

Given:

The given expression in the question is:

(8h-1)-(h+ 3); Value of h = -3​

Putting the value of h in the expression

8(-3)-1 - ((-3)+3)

= -24-1 -0

= -25

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Answer:

The answer is 2640 Employees

Step-by-step explanation:

every 30 employees theres 3 supervisors so you can just multiply 264 by 30

264 * 30 = 7920 employees

then divide by 3 to get how many supervisors there are

7920 / 3 = 2640

The particular solution, y''-2y'-3y=4 6xe^2x, will be in the form of (Ax^2 + Bx + C)e^(2x).

The form of the particular solution for the given differential equation, y'' - 2y' - 3y = 4(6x)e^(2x), can be found using the following steps:

Step 1: Identify the homogeneous solution

The homogeneous equation is y'' - 2y' - 3y = 0. Its characteristic equation is r^2 - 2r - 3 = 0, which factors into (r - 3)(r + 1) = 0. The roots are r1 = 3 and r2 = -1. So, the homogeneous solution is y_h(x) = C1 * e^(3x) + C2 * e^(-x).

Step 2: Determine the form of the particular solution

Since the right-hand side of the given differential equation is 4(6x)e^(2x), the form of the particular solution, y_p(x), will be a linear combination of x * e^(2x) and its derivatives. Therefore, the form of the particular solution will be:
y_p(x) = (Ax^2 + Bx + C)e^(2x), where A, B, and C are constants to be determined.

Step 3: Find the particular solution

To find the particular solution, substitute y_p(x) into the given differential equation and solve for the constants A, B, and C. Then, the particular solution, y_p(x), will be in the form of (Ax^2 + Bx + C)e^(2x).

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True. Statistical inference is a branch of statistics that involves using a sample of data to make inferences about a larger population.

It involves drawing conclusions about population parameters (such as mean, variance, proportion, etc.) based on sample statistics (such as sample mean, sample variance, sample proportion, etc.). In statistical inference, we use probability theory and statistical models to quantify the uncertainty associated with our estimates and to make decisions based on the available data. The ultimate goal of statistical inference is to make generalizations about the population based on the sample data with a certain level of confidence or accuracy.

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Answer:

width=4in.

length=13in

Step-by-step explanation:

let the width of the rectangle be x

then the length will be x+9

Area= length×width

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

the width is 4in. and the length is 4+9=13in.

The solution is, width=4in.

length=13in

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The area of a rectangle is 52 in^2.

If the length is 9 inches more than the width.

let the width of the rectangle be x

then the length will be x+9

Area= length×width

so, we have,

52= (x+9)x

52= x²+9x

x²+9x-52=0

x²+13x-4x-52=0

x(x+13) - 4(x+13)= 0

(x-4)(x+13)=0

x=4 or -13

dimension cannot be negative

hence x=4in

so, we get,

the width is 4in. and the length is 4+9=13in.

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Answer:

-3

Step-by-step explanation:

4a - 2(a + b) + 1 = ?

4(2) - 2(2 + 4) + 1

8 - 2(6) + 1

8 - 12 + 1

-4 + 1 = -3

I hope this helps!

The area of the given triangle shape is 7.5 cm^2.

We are given that;

Base=5

Height=3

Now,

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

The area of the triangle = 1/2 x b x h

Substituting the values

=1/2 * 3 * 5

=15/2

=7.5

Therefore, by the area answer will be 7.5 cm^2.

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Step-by-step explanation:

Let r be the common root of the given equations.

Then we have:

ar³ + 4r² - 5r - 10 = 0 ...(1)

and

ar³ - 9r - 2 = 0 ... (2)

Subtracting equation (2) from equation (1), we get:

13r² - 3r - 8a = 0

Solving for r using quadratic formula, we get:

r = [3 ± sqrt(9 + 52a)]/26

For r to be a real number, the discriminant of the quadratic expression inside the square root must be non-negative:

9 + 52a ≥ 0

Solving for a, we get:

a ≥ -9/52

Therefore, the possible values of a are all real numbers greater than or equal to -9/52.