3.
Solve using traditional division: 3,385 divided by 31.

For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.

In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.

To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.

Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.

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X+2y=4

+-x-4y=-14

——————

-2y=-10, y=5, x=4-10=-6

Answer:

x = -6

y = 5

Step-by-step explanation:

Add the equations

1x + 2y = 4

-1x - 4y = -14

————————

    -2y = -10

Divide both sides by -2

y = 5

Substitute for y = 5 into either equation

using  1x + 2y = 4

1x + 2(5) = 4

1x + 10 = 4

Subtract 10 from both sides

1x = -6

x = -6

Solution

x = -6

y = 5

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.

Here we have the function:

y = cos(2*(x + pi))

First, let's distribute the product in the argument of the cosine:

y = cos(2x + 2pi).

Now, notice that 2pi is the period of a cosine function, then:

cos(2x)  = cos(2x + 2pi)

Then we can write:

y = cos(2x)

Now, the y-intercept is:

y = cos(2*0) = 1

And because the factor of 2 inside the argument, it goes through 2 cycle at 2pi (instead of 1 cycle, like a normal cosine).

Then the correct option is:

"On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi."

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Answer:

D

Step-by-step explanation:

Because i said so.

Answer:

hi there

17 and 18

17 times 17 equals 289

18 times 18 equals 324

Step-by-step explanation:

pls rate me the brainiest

Answer:

A = 8^2 mm = 64 mm^2   area of square

Radius of circle = 4 mm

a = area of circle = pi R^2 = 3.14 (4 mm)^2 = 3.14 * 16mm^2

A - a =  (64 - 50.3) mm^2 = 13.7 mm^2

Answer:

The sum of the first 100 odd numbers is 10,000

Step-by-step explanation:

Here, we want to find the sum of the first 100 odd numbers

Mathematically, we can use the formula for the sum of term in a sequence which is;

Sn = n/2(a + L)

where n is the number of terms

L is he last term

a is the first term

The difference between two consecutive odd numbers is 2

So:

T100 = 1 + (100-1)2

T100 = 1 + 198

T100 = 199

So;

sn = 100/2(1 + 199)

Sn = 50(200)

Sn = 10,000

Step-by-step explanation:

the sum of the first 100 odd numbers 10000

Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

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Answer:

-1/3

Step-by-step explanation:(if treasure of change is "rate of change")

Equation of a line: mx + b

m=-1/3: slope

b: y-intercept

^Whenever working with an equation of slope/rate of change the above variables have specific meanings.

Slope is another term for rate of change so the rate of change would be -1/3.

m=-1/3=slope/rate of change

b=4=y intercept

False. Asymmetric encryption algorithm can be used to ensure the integrity of a file's contents.

Asymmetric encryption algorithms, such as RSA, are primarily used for data confidentiality and authentication, not for ensuring the integrity of a file's contents. They provide a way to securely exchange encrypted messages between parties and verify the authenticity of the sender.

To ensure the integrity of a file's contents, techniques such as cryptographic hash functions or digital signatures are used. Cryptographic hash functions generate a fixed-size hash value that uniquely represents the file's contents. Comparing the hash value before and after transmission can verify if the file has been tampered with. Digital signatures, on the other hand, use asymmetric encryption to provide a means of verifying the integrity and authenticity of a file by attaching a digital signature created with the sender's private key.

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Answer:

I kinda want to say it's C

Answer:

A

Step-by-step explanation:

Group like-terms, that is move the numbers to one side of the sign.

Then, divide both sides by 2

Answer:

20%

Step-by-step explanation:

120 / 150 = 0.8 or 80%, so the difference is 20%

The discount percentage is 20%.

Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:

Therefore, the discount percentage is 20%.

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To increase the speed of the response in the given system, we need to identify the parameters that influence the time constant (T) of the system. The time constant is a measure of how quickly the system responds to changes.

In the given equation, y(s) = 1/(sT + 1)[C*A - C*/q* . qAmax/Cmax d(s) + C*b - c*/q* . q Bmax/Cmax u(s)], the time constant (T) is present in the denominator term sT + 1. To increase the speed of the response, we need to decrease the value of T.

The time constant T is determined by the product of the capacitance (C) and the resistance (R), where T = RC. In this case, we can observe that T is directly proportional to the capacitance C.

To increase the speed of the response, we can decrease the capacitance value (C). This can be achieved by decreasing the values of C*A and Cmax in the equation. By reducing the capacitance, we reduce the time constant T, resulting in a faster response.

Mathematically, the time constant T can be expressed as T = (V/q*) * C. By reducing the value of C, the time constant T decreases, leading to a faster response.

To justify the reasoning, we can analyze the step response plots. The step response shows how the system output responds to a sudden change in the input. By decreasing the capacitance (C), we reduce the time constant and observe a steeper rise in the step response, indicating a faster response time. Conversely, increasing the capacitance would result in a slower response characterized by a more gradual rise in the step response.

Therefore, to increase the speed of the response, we need to decrease the capacitance values C*A and Cmax in the equation by adjusting the corresponding parameters.

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Answer:

a

Step-by-step explanation:

x² = 49 ( take square root of both sides )

\(\sqrt{x^2}\) = ± \(\sqrt{49}\)

x = ± 7

that is x = - 7 , x = 7

since 7 × 7 = 49 and - 7 × - 7 = 49

Answer:

0.475 kg

Step-by-step explanation:

1/2 kg = 0.5 kg

125g = 0.125kg

475g = 0.475kg

grams are lighter than kg and 0.5kg,0.125g, and 0.6kg are all lighter than 0.475kg

hope this helps!

Answer:

0.6 kg

Step-by-step explanation:

The easy way to find out the answer is to bring all into same unit:

Comparing all four we see the greatest number is 600, so the answer is :

The green grapes weigh 1/5 pound more than the red grapes.

To find the weight difference between the green and red grapes, we need to subtract the weight of the red grapes from the weight of the green grapes.

The weight of the green grapes is (1/2) of a pound, and the weight of the red grapes is (3/10) of a pound.

Subtracting the weight of the red grapes from the weight of the green grapes:

(1/2) - (3/10) = (5/10) - (3/10) = 2/10 = 1/5

Therefore, the green grapes weigh 1/5 pound more than the red grapes.

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Using the quadratic equation of motion, the statements that best describe the squared term −16t² are

A quadratic equation is an equation in which the highest power of the unknown is 2.

Since the height in feet of a thrown football is modeled by the equation f(t) = 6 + 30t − 16t², where time t is measured in seconds. To select the statements that best describe the squared term −16t², we proceed as follows.

Comparing the equation f(t) = 6 + 30t − 16t² with s = h + ut - 1/2at² where

We see that

So, the statements that best describe the squared term −16t² are

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Step-by-step explanation:

a) Perimeter is equal to 2w + 2L

2(3x + 4) + 2(x + 3)

6x + 8 + 2x + 6

8x + 14

b) Put 5 in x's place

8×5 + 14

40 + 14

54

c) Area = (3x + 4) * (x + 3)

Put 4 in x's place

(3×4 + 4) * (4 + 3)

12 + 4 * 7

16 * 7

112

Answer:

Explanation:

2)

y = x - 4

y = -x + 2

as they are equal:

-x + 2 = x - 4

-x - x = -4 - 2

-2x = -6

x = 3

y = -x + 2

y = -3 + 2

y = -1

solutions: (3,-1)

3)

y = 3x + 1

y = 5x - 3

as y are equal:

5x - 3 = 3x + 1

5x - 3x = 1 + 3

2x = 4

x = 2

y = 3x + 1

y = 3(2) + 1

y = 6 + 1

y = 7

solutions: (2,7)

4)

2x + y = 8

y = x - 7

insert equation x - 7 in replace of y in equation 1

2x +  x - 7 = 8

3x - 7 = 8

3x = 15

x = 5

y = x - 7

y = 5 - 7

y = -2

solution's: (5,-2)

Answer:

follow the drawings or u can use that (ayp +xnc

...) both same

Answer:

Step-by-step explanation:

okay i will answer but i dont see the question

Answer:

5,500,000

Step-by-step explanation:

I'm not sure if this is correct but how I got that was I divided 11,000,000 by 2. I'm sorry if it's incorrect

Answer:

5500000

Step-by-step explanation:

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

Given:

The equation is

\(20y-10x+5\)

To find:

The slope intercept form of the given equation.

Solution:

The slope intercept form of a linear equation is

\(y=mx+b\)

Where, m is slope and b is the y-intercept.

We have,

\(20y-10x=5\)

We need to isolate y. Add 10x on both sides.

\(20y-10x+10x=5+10x\)

\(20y=5+10x\)

Divide both sides by 20.

\(\dfrac{20y}{20}=\dfrac{5+10x}{20}\)

\(y=\dfrac{5}{20}+\dfrac{10x}{20}\)

\(y=\dfrac{1}{4}+\dfrac{x}{2}\)

\(y=\dfrac{1}{2}x+\dfrac{1}{4}\)

Therefore, the slope intercept form of the given equation is \(y=\dfrac{1}{2}x+\dfrac{1}{4}\).

The value of the side x is 32.36

It is important that we know the six trigonometric identities, they are;

From the information given, we have that;

sine identity is represented as;

tan θ = opposite/adjacent

subsitute the values, we get

sin 64 = x/36

find the tangent value

0.8988(36) = x

multiply the values

x = 32.36

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Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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The solution to this system of equations is (3,1,-2) which are represented by matrix.

This system of equations can be represented by the augmented matrix:

\(\begin{bmatrix}100 & -3 & 0 \\010 & 0 & 1 \\001 & 0 & -2\end{bmatrix}\)

The augmented matrix can be transformed into an upper triangular matrix using row operations:

\(\begin{bmatrix}100 & -3 & 0 \\000 & 3 & 1 \\000 & 0 & -2\end{bmatrix}\)

Now, we can use back substitution to solve for the unknowns.

From the bottom row, we can see that z = -2.

From the second row, we can see that y = 1.

Using the top row and the values for y and z, we can solve for x:

100x - 3(1) + 0(-2) = 0

100x - 3 + 0 = 0

100x = 3

x = 3

Thus, the solution to this system of equations is (3,1,-2).

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Answer:

If a line has slope =m

then the slope of a line perpendicular to it is

(

−

1

m

)

Rewrite

5

x

+

3

y

=

8

in a slope-offset format

y

=

−

5

3

x

+

8

3

So the given equation has a slope of

(

−

5

3

)

and a line perpendicular to it has a slope of

(

3

5

)

Step-by-step explanation:

The probability that a randomly selected car had automatic transmission or air conditioning or both is 0.9118. The result is obtained by dividing the sum of three events by the total cars.

If the events are individual, the probability is the sum of their individual probabilities. It means:

P(A) or P(B) or P(C) = P(A) + P(B) + P(C)

If there were 136 cars,

What is the probability that a randomly selected car had automatic transmission or air conditioning or both?

With that information, we get the cars had both air conditioning and automatic transmission

= 78 - 56

= 22 cars

See the Venn diagram in the picture attached!

The probability in the question means the probability of selecting the car had AC only or the car had automatic transmission only or the car had both.

So,

P(AC only) or P(auto transmission only) or P(both)

= P(AC only) + P(auto transmission only) + P(both)

= 56/136 + 46/136 + 22/136

= 124/136

= 0.9118

Hence, the probability of selecting a car had automatic transmission or air conditioning or both is 0.9118.

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