Plzzzzz hemp meeeee outttt

Answer:

a. 0.81

b. 0.81

Step-by-step explanation:

Let's assume that the player makes x% of his free throws. Then, the probability that he will make both free throws is (x/100)^2, and he will make at least one free throw is 1 - (1 - x/100)^2.

So if he makes 90% of his free throws, then:

a. The probability that he will make both free throws is (90/100)^2 = 0.81.

b. The probability that he will make at least one free throw is 1 - (1 - 90/100)^2 = 1 - (1 - 0.9)^2 = 1 - 0.19 = 0.81.

The answers to the questions rounded to 4 decimal places are:

a. 0.81

b. 0.81

The equation of the tangent line at x = 0 is: y = 1/6Thus, the linearization of y= (36 + 2x²)⁻¹/² at

L(x) = 1/6.

The linearization L(x) of \(y= (36 + 2x²)⁻¹/²\)

at a = 0 ,A linearization is a tangent line approximation of a function. This approximation is useful because it allows for the approximation of a function's behavior around a certain point. For instance, the tangent line approximation of the function f(x) = x² around f(x) = 2x - 1. This approximation is only valid when x is near 1.

Let's first find the derivative of the given function y = (36 + 2x²)⁻¹/² using the chain rule. Using the chain rule, we get: y' = -1/2 (36 + 2x²)⁻³/² (4x)Therefore: \(y'(0) = -1/2 (36)⁻³/² (0)\)let's use the point-slope formula to find the equation of the tangent line: y = mx + b.

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Answer:

A. 30 inches

B. 11 pieces

Step-by-step explanation:

Piece 1 = 120 inches

Piece 2 = 210 inches

1. He wants the smallest pieces to be as long as possible without having any leftover, how long should each piece be?

Find the highest common factor of 120 and 210

120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.

210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.

The highest common factor of 120 and 210 = 30

Therefore, the smallest and longest pieces should be cut into 30 inches each

B. Total Smaller pieces of wood = piece 1 / 30 + piece 2 / 30

= 120/30 + 210/30

= 4 + 7

= 11 pieces

The solution to the matrix equation is x = 6 and y = 1.

To solve the matrix equation:

|2 3| |x| |5|

|1 2| |y| = |4|

We can use the inverse of the coefficient matrix to isolate the variables x and y.

Calculate the inverse of the coefficient matrix:

The coefficient matrix is:

|2 3|

|1 2|

To find the inverse, we use the formula:

Inverse of a 2x2 matrix = 1/determinant \(\times\) |d -b|

|-c a|

Where the determinant (ad - bc) is calculated as (22) - (31) = 1.

So, the inverse of the coefficient matrix is:

1/1 \(\times\) |2 -3| = |2 -3|

|-1 2| |-1 2|

Multiply the inverse of the coefficient matrix by the constant matrix:

|2 -3| |x| |5|

|-1 2| |y| = |4|

To do this multiplication, we can use the formula for matrix multiplication:

|a b| |c| |ac + bd|

|e f| |d| = |ec + fd|

Applying this formula, we get:

2x - 3y = 5

-1x + 2y = 4

Solve the system of equations:

Using any method of solving linear equations (such as substitution or elimination), we can solve this system of equations.

Multiplying the first equation by 2 and adding it to the second equation, we eliminate x:

4x - 6y + (-x + 2y) = 10 + 4

3x - 4y = 14

Simplifying the equation, we get:

3x - 4y = 14 ---> (1)

From the second equation, we can express x in terms of y:

-1x + 2y = 4

x = 2y + 4 ---> (2)

Substituting equation (2) into equation (1):

3(2y + 4) - 4y = 14

6y + 12 - 4y = 14

2y + 12 = 14

2y = 2

y = 1

Now, substituting the value of y = 1 into equation (2):

x = 2(1) + 4

x = 2 + 4

x = 6.

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Answer:

$1.720.34

Step-by-step explanation:

to do this problem we can use the exponential growth formula A=p(1+r)^t

substituting our values we get

A = 1,557.00(1+0.02)^5

after solving the equation for A we get that

A after 5 years will be $1,720.34

The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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Mean=23

Median=21.5 its a hard one to do so yeah

Modes=28

Range=22

\((3x)^{2} +2*3x*2+2^{2} \\3^{2} x^{2} +2*3x*2*2^{2} \\9x^{2} +2*3x*2+2^{2} \\9x^{2} +2*3x*2+4\\9x^{2} x^{2} +12x+4\)

answer

Answer:

here you go

Step-by-step explanation:

-5x+2

The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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Answer:

9

Step-by-step explanation:

Answer:

top plot

Step-by-step explanation:

From the box and whisker plot, the smallest data point is 0 and the largest data point is 100

The median is 70

The only plot that has points at 0 and 100 is the first plot

If the volume of a cube decreases at a rate of 10 m/sec, then the  rate at which the side of the cube changes when the side of the cube is 2 m is -0.83 meter per second

The rate of  volume of the the cube decreasing = 10 meter per second

Consider the side of the cube is x

The volume of the cube = x^3

The rate of change of volume with respect to time

dV / dt = 3x^2 dx/dt

dV / dt = -10 meter per second

The dx / dt = (dV / dt) / 3x^2

We haver to find the rate at which side of the cube changes when the side of the cube is 2 meter

Then x = 2

dx / dt = -10 / (3 × 2^2)

= -10 / 12

= -0.83 meter per second

Therefore, the rate at which side of the cube changes when the side of the cubes is 2 meter is -0.83 meter per second

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Answer: no polygon exists in which the ratio of the number of diagonals to the sum of the measures of the angles is 1 to 18, because the number of sides n cannot be equal to 23.

Step-by-step explanation: Let n be the number of sides of the polygon. The number of diagonals in a polygon of n sides is given by the formula:

d = n(n-3)/2

The sum of the measures of the angles in a polygon of n sides is given by the formula:

180(n-2)

The ratio of the number of diagonals to the sum of the measures of the angles is:

d / [180(n-2)] = [n(n-3)/2] / [180(n-2)] = (n-3) / 360

We want to show that this ratio cannot be equal to 1/18, or:

(n-3) / 360 ≠ 1/18

Multiplying both sides by 360, we get:

n-3 ≠ 20

Adding 3 to both sides, we get:

n ≠ 23

Therefore, no polygon exists in which the ratio of the number of diagonals to the sum of the measures of the angles is 1 to 18, because the number of sides n cannot be equal to 23.

Randomization is important to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills.

Randomization is when subjects in an experiment are placed in either the control group or the treatment group without any structure. They are placed in either groups randomly. The purpose of randomization is to ensure that subjects in either group are homogenous.

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The value of the expression [3 + 1/10] (-6 x 7 / 12) will be negative 10 and 17 over 20. Then the correct option is D.

The equivalent is the expression that is in different forms but is equal to the same value.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ [3 + 1/10] (-6 x 7 / 12)

Simplify the expression, then we have

⇒ - (31 / 10) x (7 / 2)

⇒ - 217 / 20

⇒ - 10 ¹⁷/₂₀

The value of the expression [3 + 1/10] (-6 x 7 / 12) will be negative 10 and 17 over 20. Then the correct option is D.

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Answer:

$20.8

Step-by-step explanation:

Let's see how much she would have payed if it was 99% off

32 / 100 = 0.32

0.32 * 35 = 11.2

32 - 11.2 = $20.8

ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘᴇᴅ!

ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!

Answer:

Step-by-step explanation:

The fractions of the numbers are found as follows:

To divide a number by the nth power of 10, the decimal digit in the number is moved n units to the right.

The fraction that represents 10% of a number is given as follows:

10/100 = 1/10.

Meaning that the number is divided by 10, which is the first power of 10, and thus the decimal digit is moved one unit right in the number.

The fraction that represents 1% of a number is given as follows:

1/100.

Meaning that the number is divided by 100, which is the second power of 10, and thus the decimal digit is moved two units right in the number.

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Answer:

7x+6

Step-by-step explanation:

Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?

Simplified Expression:

3(x + 4) + 2(2x – 3)

3x+12+2(2x-3)

3x+12+4x-6

7x+6

Answer:

the first box is 7x+6 and the other one is 27

Step-by-step explanation:

Answer:

C. Supplementary Angles

One way to remember that is that C is the top half of S and Complementary Angles =90 and Supplementary angles =180. 90 is one half of 90

If a number is multiplied by 8 instead of 5, the product increases by 39

to find: the number

Let the number be x

Product of number is and 8 = 8x

Product of number is and 5 = 5x

A number is multiplied by 8 instead of 5, the product increases by 39

so,     8x-5x=39

         3x=39

          x=13

so,

Hence the number is 13

Multiplication is an arithmetic operation, where we find the product of two or more than two numbers.

The Number System contain any of the numerous sets of symbols and the rules for using them to denote numbers, which are used to state how many objects are there in a given set.

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Answer:

D.76

Step-by-step explanation:

First, go 2x4x2 for the bottom, and the top of it

Then, for both sides go 5x4x2

Then, for the other sides go 2x5x2

After that, add all of the numbers after you do the equation.

Answer:

t = 11 months

d = 803

Step-by-step explanation:

d = 935 − 12t

d = 517 + 26t

how many months will the number of DVDs sold equal the number of Blu-ray discs sold

Equate both equations to solve for the number of months

935 − 12t = 517 + 26t

935 - 517 = 26t + 12t

418 = 38t

t = 418 / 38

t = 11 months

How many of each is sold in that month?

d = 935 − 12t

= 935 - 12(11)

= 935 - 132

= 803

d = 517 + 26t

= 517 + 26(11)

= 517 + 286

d = 803

There will be 803 DVDs and Blu-Ray discs sold per month in 803 months.

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

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Answer:

\( Volume = 150 yd^3 \)

\( Surface Area = 150 yd^2 \)

Step-by-step explanation:

Going by the dimensions of the given three-dimensional figure, we can conclude that the figure is that of a cube. The height, length and width are equal.

Volume of a cube is given as \( a^3 \) , while surface area of a cube is given as \( 6a^2 \)

Where, a = the side length = 5 yards

\( Volume = a^3 = 5^3 \)

\( Volume = 150 yd^3 \)

\( Surface Area = 6a^2 = 6(5)^2 \)

\( Surface Area = 150 yd^2 \)

The possible weather conditions for Andrea’s trip are clear skies with minimal precipitation.

The correct option is B

Applying science and technology to forecast the weather is known as weather forecasting. It involves determining the atmosphere's state at a specific location and moment in time. For millennia, people have made impromptu weather predictions, and since the 19th century, formal forecasts have been made.

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I understand that the question you are looking for is:

Andrea plans to go fishing in the morning, so she checks the weather forecast. The forecast shows a high-pressure area forming near her fishing spot. Using the weather data below, predict the possible weather conditions for Andrea’s trip.

A. cloudy skies with minimal precipitation

B. clear skies with minimal precipitation

C. cloudy skies with moderate precipitation

D. clear skies with heavy precipitation

Answer:  B. clear skies with minimal precipitation

Step-by-step explanation:

i got 5 out of 5 on the test

The Fourier series representation of the 2π periodic signal f(x) = x for 0 < x < π is (π/4) + Σ[(-1/n) \((-1)^n\) sin(nω₀x)].

To determine the Fourier series representation of the periodic signal f(x) = x for 0 < x < π with a period of 2π, we can use the following steps:

Determine the coefficients a₀, aₙ, and bₙ:

a₀ = (1/π) ∫[0,π] f(x) dx

= (1/π) ∫[0,π] x dx

= (1/π) [x²/2] ∣ [0,π]

= (1/π) [(π²/2) - (0²/2)]

= π/2

aₙ = (1/π) ∫[0,π] f(x) cos(nω₀x) dx

= (1/π) ∫[0,π] x cos(nω₀x) dx

bₙ = (1/π) ∫[0,π] f(x) sin(nω₀x) dx

= (1/π) ∫[0,π] x sin(nω₀x) dx

Simplify and evaluate the integrals:

For aₙ:

aₙ = (1/π) ∫[0,π] x cos(nω₀x) dx

For bₙ:

bₙ = (1/π) ∫[0,π] x sin(nω₀x) dx

Write the Fourier series representation:

f(x) = a₀/2 + Σ[aₙcos(nω₀x) + bₙsin(nω₀x)]

where Σ represents the summation from n = 1 to ∞.

To evaluate the integrals for aₙ and bₙ and determine the specific values of the coefficients, let's calculate them step by step:

For aₙ:

aₙ = (1/π) ∫[0,π] x cos(nω₀x) dx

Using integration by parts, we have:

u = x (derivative = 1)

dv = cos(nω₀x) dx (integral = (1/nω₀) sin(nω₀x))

Applying the integration by parts formula, we get:

∫ u dv = uv - ∫ v du

Plugging in the values, we have:

aₙ = (1/π) [x (1/nω₀) sin(nω₀x) - ∫ (1/nω₀) sin(nω₀x) dx]

= (1/π) [x (1/nω₀) sin(nω₀x) + (1/nω₀)² cos(nω₀x)] ∣ [0,π]

= (1/π) [(π/nω₀) sin(nω₀π) + (1/nω₀)² cos(nω₀π) - (0/nω₀) sin(nω₀(0)) - (1/nω₀)² cos(nω₀(0))]

= (1/π) [(π/nω₀) sin(nπ) + (1/nω₀)² cos(nπ) - 0 - (1/nω₀)² cos(0)]

= (1/π) [(π/nω₀) sin(nπ) + (1/nω₀)² - (1/nω₀)²]

= (1/π) [(π/nω₀) sin(nπ)]

= (1/n) sin(nπ)

= 0 (since sin(nπ) = 0 for n ≠ 0)

For bₙ:

bₙ = (1/π) ∫[0,π] x sin(nω₀x) dx

Using integration by parts, we have:

u = x (derivative = 1)

dv = sin(nω₀x) dx (integral = (-1/nω₀) cos(nω₀x))

Applying the integration by parts formula, we get:

∫ u dv = uv - ∫ v du

Plugging in the values, we have:

bₙ = (1/π) [x (-1/nω₀) cos(nω₀x) - ∫ (-1/nω₀) cos(nω₀x) dx]

= (1/π) [-x (1/nω₀) cos(nω₀x) + (1/nω₀)² sin(nω₀x)] ∣ [0,π]

= (1/π) [-π (1/nω₀) cos(nω₀π) + (1/nω₀)² sin(nω₀π) - (0 (1/nω₀) cos(nω₀(0)) - (1/nω₀)² sin(nω₀(0)))]

= (1/π) [-π (1/nω₀) cos(nπ) + (1/nω₀)² sin(nπ)]

= (1/π) [-π (1/nω₀) \((-1)^n\) + 0]

= (-1/n) \((-1)^n\)

Now, we can write the complete Fourier series representation:

f(x) = a₀/2 + Σ[aₙcos(nω₀x) + bₙsin(nω₀x)]

Since a₀ = π/2 and aₙ = 0 for n ≠ 0, and bₙ = (-1/n) \((-1)^n\), the Fourier series representation becomes:

f(x) = (π/4) + Σ[(-1/n) \((-1)^n\) sin(nω₀x)]

where Σ represents the summation from n = 1 to ∞.

This is the complete Fourier series representation of the given 2π periodic signal f(x) = x for 0 < x < π.

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The question is -

Determine the Fourier series representation for the 2n periodic signal defined below:

f(x) = x, 0 < x < π

Since we read from left to right, when we see a price, we process the number of dollars before the number of cents. This is why so many prices end in a.99.

Price is a term used in economics and business to describe the monetary value of a good or service. It's usually the sum of a good or service's cost plus a profit. The price of a good or service is influenced by many factors, including supply and demand, competition, production costs, and government regulations.

Thus, 99 is the correct answer.

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