2b/3-5=3 what is the value of b​

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer:

sqrt(65)

Step-by-step explanation:

To find the distance between the two points

d = sqrt(  (x2-x1)^2+ (y2-y1)^2)

   = sqrt( (4-3)^2 +(1 - -7)^2)

    = sqrt( 1^2 + (1+7)^2)

    = sqrt( 1+8^2)

    = sqrt(1+64)

sqrt(65)

\( \large\begin{gathered} {\underbrace{\boxed{ \bf {\red{Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \: (y_2 \: - \: y_1) ^{2} } }}}}}\end{gathered}\)

\( \bf \longrightarrow \: Distance \: = \: \sqrt{ \bigg(4 \: - \: 3 \bigg) ^{2} \: + \: \bigg(1 \: - \: [ - 7 ]\bigg) ^{2} }\)

\( \bf \longrightarrow \: Distance \: = \: \sqrt{ (1) ^{2} \: + \: (1 \: + \: 7 ) ^{2} }\)

\( \bf \longrightarrow \: Distance \: = \: \sqrt{ 1 \: + \: (8 ) ^{2} }\)

\( \bf \longrightarrow \: Distance \: = \: \sqrt{ 65 }\)

\(\Large \purple \diamond \: \: \underbrace {\rm {{{\color{blue}{Distance \: = \: \sqrt{65} }}}}} \: \: \purple \diamond\)

Answer:

-9,3

Step-by-step explanation:

The range of the function is {3, 7, -9}.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}.

The range of the function is,

= the number of value in the y-coordinate.

= {3, 7, -9}

Therefore, {3, 7, -9} is the range.

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Step 1:

Write the equation of the line in the form of y = mx + c

m = slope

Step 2

Step 3

From the equation

Step 4:

Final answer

The measure of acute angle = 26.6

For a function, f(x) = 1 + 3x , the computed value of lim h→0 [f(5 + h) − f(5)]/h is equals to the three.

In Mathematics, the limit of a function is a value of the function as the input of the function tries approaches some number. Function limits are used to define continuity, integrals, and derivatives. Mathematically, let f(x) be a function and L be limit of function, f(x) at x a exist if and only if lim f(x) = lim f(x) = L

x→a⁻ x→a⁺

We have, f(x) = 1+3x and will compute lim h→0 [f(5 + h) − f(5)]/h . Firstly, determine the value of function at x = 5 , x = 5+h.

So, f(5) = 1+ 3×5 = 16 and f(5+ h) = 1+3(5+h)

= 16+ 3h

Now, lim [ f(5 + h) − f(5)]/ h

h→0

= lim [(16 + 3h) − (16) ]/ h

h→0

= lim [ 16 + 3h - 16 ]/ h

h→0

= lim [ 3h/ h ] = lim [ 3h¹h⁻¹ ]

h→0 h→0

= lim [ 3h¹⁻¹ ] = lim [ 3h⁰ ]

h→0 h→0

= lim 3 (1) = 3 ( since, x⁰ = 1 )

h→0

Hence, the required limit value is 3.

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Answer:

1/4

Step-by-step explanation:

Scale factor = 3/12 = 1/4

The pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.

In order to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters.



To calculate the sample size needed for this estimation, we can use the formula:

n = (Z² * p * q) / E²

where n is the sample size, Z is the z-score corresponding to the confidence level (in this case, 1.96 for 95% confidence), p is the estimated proportion of voters who oppose capital punishment, q is the estimated proportion of voters who support capital punishment (which is 1-p), and E is the desired margin of error (in this case, 0.02).

Assuming a conservative estimate of p = q = 0.5, we can plug in the values and solve for n:

n = (1.96² * 0.5 * 0.5) / 0.02² ≈ 2,401

Therefore, the pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.



In conclusion, to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters. This sample size calculation is based on the formula for calculating sample size using the z-score, estimated proportions, and desired margin of error

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The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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The following values are as follows: a) Mean = 0.6, b) standard deviation = 0.073 and c) Probability is 0.0855

a) As the number of samples is large enough which is up to 30 then the mean of the average number of moths in 30 traps is given as 0.6, given from the central limit theorem.

b) The population deviation divided by the square root of the sample size gives the standard deviation value.

standard derivation = σ/ \(\sqrt{n}\) = 0.4 / \(\sqrt{30}\) = 0.4/ 5.477 = 0.073

c) The probability that an approximately normally distributed data with the standard deviation, σ, with a sample size of n is greater than a number, x, and a mean, μ, is given by

1 - P (X < x)= P (X > x)

= 1 - P(z< x- µ/ σ/\(\sqrt{n}\))

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 is given by:

1 -P (X - 0.7) = P (X > 0.7)

= 1 - P(z < \(\frac{0.7-0.6}{0.073}\)) = 1 - P(z < 1.369)

= 1 - 0.91455 = 0.0855

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Answer:

Step-by-step explanation:

The angle measure we need is twice the angle ACB.

Find its measure considering AB = 4/2 = 2 in and BC = 6 in.

Use trigonometry:

The angle between the line segments is:

Step-by-step explanation:

Radius = Diameter/2

Radius = 4/2

Radius = 2 cm

Now,

tan <ACB = AB/BC

tan <ACB = 2/6

tan <ACB = ⅓

<ACB = 18.43

Now,

Angle = 2 × <ACB

Angle = 2 × 18.43

Angle = 36.86⁰

Answer:

Step-by-step explanation:

Please mark Brainy because I showed you all the steps so you can do it in the future! :)

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

False. The value of the sample mean is not static and can change with different data sets.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

False.

The value of the sample mean is calculated based on the data in the sample, and it can change if the data set from which the sample is drawn changes.

For example, suppose we have a population with a certain mean and take a random sample from that population to calculate the sample mean. If we take a different sample from the same population, we may get a different sample mean. Similarly, if we take a sample from a different population with a different mean, we will get a different sample mean.

Therefore, the value of the sample mean is not static and can change with different data sets.

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The ordered pairs that can be joined to best draw the line of best fit for this scatter plot is (C) (0, 13) and (10, 0).

One way to do this is to visually estimate the line that best fits the points on the scatter plot.

Looking at the scatter plot, we can see that the points roughly form a downward sloping line. It appears that the line should pass through the middle of the points, with an angle of about 45 degrees.

Of the four options given, the line that appears to best fit this description is (0, 13) and (10, 0). This line passes through the middle of the points and has an angle of approximately 45 degrees.

Therefore, the answer is (C) (0, 13) and (10, 0).

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Answer: lowkey gonna goes by my math and say 0.76 because I divided 114 by 150 and got 0.76

Answer:

8

Step-by-step explanation:

It be wayyy to much to put 13 it would make the mean 9 8 is perfect

Answer:

42

Step-by-step explanation:

210/42 = 5

126/42 = 3

42/42 = 1

all of them are divisible by 42

and that is the highest number you can divide all the numbers by the same number so yes this is the greatest common factor you're correct

Answer:

J. 42

Step-by-step explanation:

To find the greatest common factor (GCF) of a set of numbers, first list the prime factors of each number:

42 = 2 × 3 × 7

126 = 2 × 3 × 3 × 7

210 = 2 × 3 × 5 × 7

The three numbers have the prime factors of one 2, one 3 and one 7 in common.

Multiply them together to get the GCF:  

2 × 3 × 7 = 42

Therefore, the GCF of 42, 126 and 210 is 42.

The average speed of the whole journey of car based mentioned speeds is 48 km/hr.

The average speed is calculated by the formula -

average speed = total distance covered ÷ total time taken. The total distance covered is sum of distance of first and return journey. Total distance covered = 100 + 100

Performing addition

Total distance covered = 200 kilometres

Now total time taken = time taken on first journey + time taken for return journey

Total time taken = distance/speed + distance/return speed

Total time taken = 100/60 + 100/40

Performing division

Total time taken = 5/3 + 5/2

Total time taken = 10 + 15/6

Total time taken = 25/6 hour

Average speed = 200/(25/6)

Average speed = (200×6)/25

Performing division and multiplication

Average speed = 48 km/hr

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Answer:

- 6

Step-by-step explanation:

Step 1:

- ( 5z + 12 ) = 18     Equation

Step 2:

- 5z - 12 = 18      Open Parenthises

Step 3:

- 5z = 30     Add 12 on both sides

Step 4:

z = 30 ÷ - 5     Divide

Answer:

z = - 6

Hope This Helps :)

Answer: z = -6

Step-by-step explanation:

Hi there! I will be showing you how to solve the given equation. If you have any questions feel free to comment it down below.

Step 1: Remove parentheses.

-5z - 12 = 18

Step 2: Add 12 to both sides.

-5z = 18 + 12

Step 3: Simplify 18 + 12 to 30.

-5z = 30

Step 4: Divide both sides by -5.

z = \(-\frac{30}{5}\)

Step 5: Simplify \(\frac{30}{5}\) to 6.

z = -6

I hope I helped you :)

The table F shows a proportional relationship.

A proportional relationship, also known as direct variation, exists when two variables are related in such a way that their ratio remains constant.

As one variable increases or decreases, the other variable changes by a consistent factor.

In the given tables, the table F represents a proportional relationship.

x/y=1/2=2/4=4/8=5/10

The ratio is constant x/y=1/2.

Hence, the table F shows a proportional relationship.

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T A can be seen as a linear transformation from R^2 to R^3.

To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:

T A (x) = A x

Therefore, T A can be seen as a linear transformation from R^2 to R^3.

To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:

A =  (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])

The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].

To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.

If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.

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Answer:

1.  Y = -1/4x + 1

3. Y = 2/5x + 1

5. Y = 4/5x + 5

7. Y = -x + 5

9. Y = -5/2x - 16

Step-by-step explanation:

Find the slope using the formula

Use the slope and one of the points to find the y-intercept

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

The simplified form of the expression is 1.55x - 2.16.

To simplify the expression 0.2[5x + (-0.3)] + (-0.5)(-1.1x + 4.2), we can distribute the coefficients and simplify the terms.

First, distribute 0.2 to the terms inside the brackets: 0.2 * 5x + 0.2 * (-0.3) = x - 0.06.

Next, distribute -0.5 to the terms inside the second brackets: -0.5 * (-1.1x) + (-0.5) * 4.2 = 0.55x - 2.1.

Now, we can combine the simplified terms: (x - 0.06) + (0.55x - 2.1) = 1.55x - 2.16.

Thus, the simplified expression is 1.55x - 2.16.

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Answer: square root of 9

Step-by-step explanation:

The answer is the square root of 9, which is 3.

The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

(2x+3) - (-3x+5) = 5x - 2

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

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Answer:

The last one it is

x-int(-3,0) y-int(0,2)

Step-by-step explanation:

Answer:

The answer is 210 men work at the factory and 410 woman work at the factory.

Step-by-step explanation:

Because 630 divided by 3 is 210, so 210 multiplyed by 2 get you 420 which 2/3 of the employees that are woman so 210 men work at the factory.

:)

Answer: 210

Step-by-step explanation:

If (3/3) = 360 and 2/3 are women, then:

360 (1/3) = 210

There are 210 men who work at the factory.