question in the picture!!

looking for the answer of 3) and 4) !!

<3

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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The value of the inequality is n > 7. 75

Inequalities are simply defined as mathematical relations that makes an unequal or unbalanced comparison between two elements or numbers and even for known mathematical expressions

They are frequently used in comparing two or more numbers on the number line and this is carried out on the basis of their magnitude or size.

Absolute value can be defined as the value of a number irrespective of its direction from zero on the number line.

The absolute value of a number must take the positive sign.

It is represented with the symbol '| |'

Given the inequality:

-5 + |1 - 8n| > 58

find the absolute value

-5 + 1 + 8n > 58

collect like terms

8n > 58 + 4

8n > 62

Make 'n' the subject of formula by dividing both sides by 8

8n/8 > 62/8

n > 7. 75

Hence, the value is n > 7. 75

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Answer:

400 employees

Step-by-step explanation:

Let the total no. of employees be x

From the information we get that,

30% of x= 120

Hence, 30/100x=120

x=120×100/30

x=400

Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

3.3 × \(10^{9}\)

Step-by-step explanation:

I hope this helps!

Answer:

3300000000

Step-by-step explanation:

3 × 10^4=30000

1.1 × 10^5=110000

30000×110000=3300000000

=3300000000

If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.

Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.

Assume the shape of the black material is a rectangle.

The area will be calculated as:

\(Area = Length * Width\)

Take for instance;

\(Length = 4yd;\ Width = 5yd\)

\(Area = 4yd * 5yd\)

\(Area = 20yd^2\)

Assume the shape of the black material is a square.

The area will be calculated as:

\(Area =Length^2\)

Take for instance;

\(Length = 4yd\)

\(Area = (4yd)^2\)

\(Area = 16yd^2\)

Assume the shape of the black material is a triangle

The area will be calculated as:

\(Area = 0.5 * Base * Height\)

Take for instance;

\(Base = 4yd;\ Height = 5yd\)

\(Area = 0.5 * 4yd * 5yd\)

\(Area =10yd^2\)

So, in general.

You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.

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Answer:

x=3 and x= -3

Step-by-step explanation:

Sorry for my handwriting I know it's not the best but I hope it helps

Answer:

x=-1.13389341903

Step-by-step explanation:

square root of 63=7.93725393319

÷-7=-1.13389341903

this should be the answer

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

Answer:

-3x + 5

Step-by-step explanation:

y = mx + bm = -3y = -3x + bFind b from the given point.-7 = -3(4) + bb = 5y = -3x + 5

To find the Nth order Taylor Polynomial of the function f(x) = xe^(-x) expanded around x₀ = 1, we can use the Taylor series expansion formula.

We are asked to find the Taylor Polynomial for N = 4. By plotting the Taylor Polynomial and the original function for N = 0, 1, 2, 3, and 4, we can observe that the Taylor Polynomial approaches the original function as N increases.

The Taylor Polynomial P_N(x) is given by:

P_N(x) = f(x₀) + f'(x₀)(x - x₀) + f''(x₀)(x - x₀)²/2! + ... + f^N(x₀)(x - x₀)^N/N!

Substituting f(x) = xe^(-x) and x₀ = 1 into the formula, we can compute the coefficients for each term of the polynomial. The graph of P_N(x) and f(x) in the domain 0.5 ≤ x ≤ 1.5 shows that as N increases, the Taylor Polynomial approximates the function more closely.

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Answer: 3623.75

Step-by-step explanation:

Answer:

(h o g) (x) = h(g(x))

Step-by-step explanation:

(h o g) (x) = h(g(x)) = 4(g(x))+1 = 4(2x^2 -3x + 1 ) + 1

= 4*2x^2 - 4*3x + 4*1 + 1

= 8x^2 - 12x + 4 + 1

= 8x^2 - 12x + 5

The approximate length of ab is 12.2 feet

A right triangle's hypotenuse (the side that faces the right angle) has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the other two sides' lengths.

It can be written as c2 = a2 + b2 where c is the hypotenuse's length and a and b are the other two sides' lengths. Pythagoras, a Greek mathematician, is credited with discovering the theorem, which bears his name.

The Pythagorean theorem, which asserts that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side, can be used to estimate the length of AB (the hypotenuse).

The distances along the room's 11-foot and 13-foot sides serve as the two shorter sides in this situation, while AB serves as the hypotenuse. AB is around the following length:

√(11^2 + 13^2 + 10^2) = √(146) = 12.2 feet

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Answer: Choice B.

Step-by-step explanation:

Censuses are complete data collections of every member of a population.

For example, the U.S. Census occurs every 10 years and documents every member of the American population.

Choice A only surveys the first ten students; this is not a complete census.

Choice B surveys all the students in the targeted data group. This is a census.

Choice C only surveys the male students, even though there are female students in his data group. This is not a census.

Choice D only surveys the girls on the soccer team, even though there may be boys on the team as well. This is not a census.

Choice E only surveys his friends in the chorus, even though there may have been people that were not his close friends. This is not a census.

Only choice B is a complete census.

Answer:

choice B

Step-by-step explanation:

because choice b is the only complete census  

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Answer:

Step-by-step explanation:

The relations describing the two numbers can be written as equations. First, we need to assign variables: let x and y represent the first and second numbers, respectively.

The given relations are then ...

  7x +6y = 31

  3x -10y = 29

__

Such a system of equations can be solved many ways. One that is usually convenient is to use a graphing calculator. It tells us ...

The comparison of the expressions is 7 + 3² -2  * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²

From the question, we have the following parameters that can be used in our computation:

7 + 3^2-2x5÷4-1x2 and (¾+ ⅛) ÷ ⅛ - 2^2

Express the exponents properly

This gives

7 + 3² -2  * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 2²

Evaluate the exponents

So, we have the following representation

7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 4

Evaluate the expressions in brackets

So, we have the following representation

7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and 7/8 ÷ ⅛ - 4

Solve the products and quotients

7 + 9 - 2.5 - 2 and 7 - 4

So, we have

11.5 and 3

11.5 is greater than 3

So, we have

11.5 > 3

Rewrite as

7 + 3² -2  * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²

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Using linear approximation, the maximum error in the calculated surface area of a sphere with a circumference of 76 cm and a possible error of 0.5 cm is estimated to be 6.28 square centimeters.

The surface area of a sphere is given by the formula A = 4πr², where r is the radius of the sphere. Since the circumference of a sphere is directly proportional to its radius, we can use linear approximation to estimate the maximum error in the surface area.

The formula for the circumference of a sphere is C = 2πr, where C is the circumference and r is the radius. Rearranging this equation to solve for the radius, we have r = C / (2π).

Given that the circumference C is measured to be 76 cm with a possible error of 0.5 cm, we can calculate the maximum possible radius by subtracting the error from the measured circumference: r_max = (76 - 0.5) / (2π) = 11.989 cm.

Next, we can calculate the maximum and minimum surface areas using the maximum and minimum possible radii, respectively. The maximum surface area (A_max) is given by A_max = 4πr_max², and the minimum surface area (A_min) is given by A_min = 4πr_min², where r_min = (76 + 0.5) / (2π) = 12.011 cm.

To estimate the maximum error in the calculated surface area, we subtract the minimum surface area from the maximum surface area: ΔA = A_max - A_min. Plugging in the values, we get ΔA = 4π(r_max² - r_min²) = 6.28 cm².

Finally, to estimate the relative error in the surface area, we divide the maximum error in surface area by the average surface area: relative error = ΔA / (2A_avg), where A_avg = (A_max + A_min) / 2. Plugging in the values, we find the relative error to be approximately 0.08%.

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The given equation has a solution of x = 6.26

We know that an equation is a mathematical expression that expresses the equality of two expressions, by connecting them with the equals sign '='. It often contains algebra, which is used in maths when you do not know the exact number in a calculation

The given equation is ∛(x-5)  -2 = 0

The root sign covers only x and 5

This implies that x - 5 - 2¹/³ 0 0

x - 5 - 1.26

x-6.26

x= 6.26

Therefore the equation has real root.

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suppose that x is a normal random variable with a mean of 5. if p{x > 9} = .2, So, the approximate variance of the normal random variable X is 22.66.

To find the variance of a normal random variable X with mean 5 and given P(X > 9) = 0.2, we will follow these steps:

1. Recognize that X follows a normal distribution: X ~ N(μ, σ²), where μ = 5 and σ² is the variance we want to find.

2. Convert the probability statement P(X > 9) = 0.2 to a standard normal distribution (Z) by finding the corresponding Z-score:
  Z = (X - μ) / σ

3. Look up the Z-score that corresponds to the given probability (0.2) in a standard normal (Z) table. Since the table typically gives P(Z < z), we'll find P(Z < z) = 1 - 0.2 = 0.8. The corresponding Z-score is approximately 0.84.

4. Plug in the known values and solve for σ:
  0.84 = (9 - 5) / σ
  σ ≈ 4 / 0.84
  σ ≈ 4.76

5. Finally, find the variance, which is σ²:
  σ² ≈ 4.76²
  σ² ≈ 22.66

So, the approximate variance of the normal random variable X is 22.66.

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The approximate variance of the normal random variable X is the square of the standard deviation:

Var(X) ≈ \((4.76)^2\) ≈ 22.65 (rounded to two decimal places).

To approximate the variance of the normal random variable X with a mean of 5, given that P(X > 9) = 0.2, we can use the z-score and standard normal distribution.

First, we calculate the z-score using the standard normal distribution formula:

z = (X - μ) / σ

where X is the value of interest (in this case, 9), μ is the mean (5), and σ is the standard deviation.

Plugging in the values, we get:

z = (9 - 5) / σ = 4 / σ

Next, we use the standard normal distribution table or a calculator to find the z-score that corresponds to a cumulative probability of 0.2. Let's assume that z = -0.84.

Now, we can use the z-score formula to solve for the standard deviation σ:

-0.84 = 4 / σ

Cross-multiplying, we get:

-0.84σ = 4

Dividing both sides by -0.84, we get:

σ ≈ 4 / -0.84 ≈ -4.76

Since the standard deviation cannot be negative, we discard the negative value and take the absolute value, resulting in:

σ ≈ 4.76

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Answer:

75

Step-by-step explanation:

becAUSE IF YOU TEST IT THATS UR ANSWER

A sinusoidal function can be used to model the height because, the

height is given by the function; \(\underline{h = 13 \cdot sin \left(2\cdot t )\right) + 24}\)

The time the cart takes to complete a full rotation = 2 seconds

The location of the center of the ride above the ground = 24 feet

The cart in the observation is cart X

Required:

The reason why a sinusoidal function can be used to model the height of

the cart X above the ground.

Solution:

In the diagram from a similar question, the radius is given as 13 feet

The height at a particular time depends on the angle of rotation which

depends on the time of rotation.

A sinusoidal function can be presented as follows;

\(y = \mathbf{A \cdot sin \left(\dfrac{2 \cdot \pi}{B} \cdot (x - C )\right) + D}\)

Where;

y = h = The height

A = The radius = 13

C = 0

\(The \ \mathbf{period}, \ T = 2 = \dfrac{2 \cdot \pi}{B}\)

x = t = The time in seconds

D = 24

Which gives;

\(h = \mathbf{13 \cdot sin \left(2\cdot t )\right) + 24}\)

Therefore, the height can be modelled using the following sinusoidal

function; \(\underline{h = 13 \cdot sin \left(2\cdot t )\right) + 24}\)

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Hey there! I'm happy to help!

To increase a point by a certain scale factor, you multiply each number inside the point by that scale factors. Ours is 3.

2(3)=6

-4(3)=-12

So, our final point is (6,-12).

Have a wonderful day! :D

1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The domain and the range of an exponential parent function, that is, y = eˣ are equal to all real numbers and non-negative numbers, respectively. (Correct choice: C)

In this problem we should determine what an exponential parent function is. The most common exponential functions have the following form:

\(y = A\cdot e^{B\cdot x} + C\)     (1)

(1) is an exponential parent function for A = 1, B = 1 and C = 0.

All functions are relations with a domain and range, the domain is an input set related to the range, that is, an output set. In the case of an exponential parent function, the domain and the range of the expression are \(\mathbb{R}\) and y ≥ 0, respectively. (Correct choice: C)

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We are required to fill in the solution to the question that we have here.

this is done below

Six pyramids are shown inside of a cube. The height of the cube is h units. The lengths of the sides of the cube are b. The area of the base of the cube,

B, is (b)*(b) square units.

The volume of the cube is (b)*(b)*(b) cubic units.

The height of each pyramid, h, is  b/2

b = 2h.

There are 6 square pyramids with the same base and height that exactly fill the given cube.

Therefore, the volume of one pyramid is (1/6)(b)(b)(2h)

or One-third Bh.

This is the term that is used to refer to the shape that is known to have a square base and the base could also be triangular. The parts of the base are known to have a connection at the top of the pyramid.

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answer is in the attachment below :)

goodluck!!

Answer:

B 36

Step-by-step explanation:

DC^2=6^2+8^2. AD=9cm DB=6cm

DC^2=36+64

DC^2=100

DC=√100

DC=10cm

AC^2=15^2+8^2

AC^2=225+64

AC^2=289

AC=√289

AC=17

P OF TRIANGLE ADC=10+9+17

=36cm