ANSWER PLS!! HELP! WILL GIVE BRAINLIEST

Answer:

never

Step-by-step explanation:

because The union of a and b cannot be equal to the intersection of a and b

Answer:

5-hour reunion at Picnic Place will cost $250.

5-hour reunion at Total Tent will cost $350.

15 hours for both choices to cost the same.

Explanation:

Let x represent the number of hours.

Let y represent the total cost.

For Picnic Place, our equation can be written as;

For a 5-hour reunion at Picnic Place, the charge will be;

For Total Tent, our equation can be written as;

For a 5-hour reunion, the cost will be;

To determine how many hours onwill need to reserve both shelters for both choices to cost the same, we just need to equate both equations and solve for x;

The given probability distribution is a discrete probability distribution.

Given,

 x:    3        4        7

P(X=x): 0.19    0.3    0.51

Discrete probability distribution property;

∑P\((x_{i} )\) = 1

Discrete probability distribution;

The outcomes of events that can be counted or are finite are included in a discrete probability distribution. This differs from a continuous distribution, in which results can occur anywhere along a continuum. The binomial, Poisson, and Bernoulli distributions are typical examples of discrete distributions.

That is,

∑P\((x_{i} )\)

= 0.19 + 0.3 + 0.51

= 1

The property for a discrete probability distribution is thus satisfied.

So, the probability distribution that is being presented is a discrete probability distribution.

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The given question is incomplete. Completed question is given below;

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x −3 4 7 P(X=x) 0.19 0.3 0.51 Answer First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.

A woman 5-feet tall casts an 8-foot shadow. at the same time of day, the shadow of a tree nearby is 120 feet long. in feet, 75 feet  tall is the tree.

Let the tree height = x

From the question, we have

5/8 = x/120

x = (5*120)/8

x = 75 feet

Tree height = 75 feet

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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a) The utility depends on both health (H) and consumption of other goods (X).

b) The coefficient is negative, indicating a negative relationship between two variables.

c) Health (H) is greater than zero, suggesting a positive value for health.

d) Health (H) is a function of a variable denoted as 'm'.

e) The variable 'm' is greater than zero and the coefficient is negative.

f) The product of two variables, 'm' and 'm', is negative.

a) The expression in (a) is reasonable as it acknowledges that utility is influenced by both health and consumption of other goods. It recognizes that happiness or satisfaction is derived not only from health but also from other aspects of life.

b) The expression in (b) suggests a negative coefficient and a negative relationship between the variables. This could imply that an increase in one variable leads to a decrease in the other. The reasonableness of this relationship would depend on the specific variables involved and the context of the theoretical framework.

c) The expression in (c) states that health (H) is greater than zero, which is reasonable as health is generally considered a positive attribute that contributes to well-being.

d) The expression in (d) indicates that health (H) is a function of a variable denoted as 'm'. The specific nature of the function or the relationship between 'm' and health is not provided, making it difficult to assess its reasonableness without further information.

e) The expression in (e) states that the variable 'm' is greater than zero and the coefficient is negative. This implies that an increase in 'm' leads to a decrease in some other variable. The reasonableness of this relationship depends on the specific variables involved and the theoretical context.

f) The expression in (f) suggests that the product of two variables, 'm' and 'm', is negative. This implies that either 'm' or 'm' (or both) are negative. The reasonableness of this expression would depend on the meaning and interpretation of the variables involved in the theoretical framework.

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A certain bacteria strain needs 4 hours to double its population. If in the beginning there are 45 bacteria, after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

The problem can be solved using the exponential growth model.

In the given problem, the formula for the growth model is given, that is:

f(x) = 45 (64)^(x)

Where:

f(x) = total number of bacteria present after x days

To find f(x) for 1 day, 2 days, and 3 says, substitute x = 1, x = 2, and x = 3 into the formula.

f(1) = 45 (64)¹ = 2,880

f(2) = 45 (64)² = 184,320

f(3) = 45 (64)³ = 11,796,480

Hence,

after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.

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Answer:

When dissolved, bases release hydroxide ions, OH-(aq) into solution.

Step-by-step explanation:

Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"

Answer: It increases the concentration of OH- in solution.

Step-by-step explanation:

The credit card's effective interest rate last year, given the APR and the period of compounding, was 26.61 %.

The effective interest rate can be found by the formula:

= ( 1 + APR / Number of compounding times per period ) ^ number of compounding times per period - 1

Number of compounding times per period = 12 times per year

The effective interest rate on the credit card is therefore:

= ( 1 + 23.83 % / 12 ) ¹² - 1

= 1. 0198583 ¹² - 1

= 26 .61%

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Answer:

A

Step-by-step explanation:

using the rule of radicals

\(\sqrt{ab}\) = \(\sqrt{a}\) × \(\sqrt{b}\)

note that 0.231 × 100 = 23.1

given

\(\sqrt{23.1}\)

= \(\sqrt{100(0.231)}\)

= \(\sqrt{100}\) × \(\sqrt{0.231}\)

= 10 × k

= 10k

The value of √23.1 using the value √0.231 = k is 10k.

Thus, option (A) is correct.

Let's first find the value of "k" when √0.231 = k:

√0.231 = k

Now, the value of √23.1 using the value of "k":

√23.1 = √(10 × 2.31)

As √2.31 = k, substitute it in:

√23.1 = √(10 × 2.31)

         = √10 × √2.31

         = 3.162 × √2.31

Also, √2.31 = 1.52

So, the required value

√23.1 = 3.162 × 1.52

          = 4.807

let's check the given options to find the closest value to 4.807:

A. 10k = 10 × √0.231 = 4.807.

B. 0.1k = 0.1 × √0.231  = 0.04806

C. 100k = 100 × √0.231 = 48.06  

D. 20k = 20 × √0.231 = 9.6124

Therefore, The value of √23.1 is 10k.

Thus, option (A) is correct.

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The system of equation is 100x + 72y = 1760 and 97x + 72y = 1718. The special price is $14 for hardcover books and $5 for paperback books.

Equations are declarations of equality between two mathematical expressions containing one or more variables. A linear equation is one in which the maximum power of the variable is one. Any arithmetic equation can be solved using linear equations, which can also be used to find the precise value or root of the variable that answers the question.

Let us suppose the price of hardback covers = x.

Let us suppose the price of paperback covers = y.

Given that, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760.

100x + 72y = 1760........(1)

He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718.

97x + 72y = 1718.........(2)

The system of equation to describe the situation is:

100x + 72y = 1760.

97x + 72y = 1718

To find the solution subtract the two equations:

100x + 72y = 1760.

- (97x + 72y = 1718)

Thus,

3x = 42

x = 14

Substitute the value of x in equation 1:

100(14) + 72y = 1760

1400 + 72y = 1760

72y = 360

y = 5

Hence, the special price is $14 for hardcover books and $5 for paperback books.

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Answer:

Step-by-step explanation:

Step one:

given data

Charges= $400

Additional charges= $7.5 per guest

let the number of guests be x

let the total cost be y

the model for the situation is given as

y=mx+C

Step two:

given that y=1600

we can solve for x as

1600=7.5x+400

1600-400=7.5x

1200=7.5x

divide both sides by 7.5 we have

x=1200/7.5

x=160

Therefore the expected guest should not be more than 160

x<=160

Answer:

B.)    2 / 15

Step-by-step explanation:

: )

The volume of the solid that results when the region enclosed by the curves y = x^2 and y = 2x - 1 is revolved about the y-axis is 54π/5.

To find the volume of the solid that results when the region enclosed by the curves is revolved about the y-axis, we can use the method of cylindrical shells. The general steps to follow are:

Sketch the region and the axis of revolution to visualize the solid.

Determine the equations of the curves that bound the region.

Find the limits of integration for the cylindrical shells. Since we are revolving about the y-axis, we need to integrate with respect to y. The lower limit is the y-coordinate of the lowest point of the region, and the upper limit is the y-coordinate of the highest point of the region.

Express the volume of each cylindrical shell in terms of its radius and height. The radius of each shell is the distance from the y-axis to the curve, which is x. The height of each shell is the difference between the y-coordinates of the two bounding curves, which is given by the equation y = f(x) - g(x), where f(x) and g(x) are the equations of the curves that bound the region.

Integrate the expression for the volume of each cylindrical shell with respect to y, from the lower limit to the upper limit, to obtain the total volume of the solid.

For example, let's find the volume of the solid that results when the region enclosed by the curves y = x^2 and y = 2x - 1 is revolved about the y-axis.

Sketching the region and the axis of revolution, we see that the solid is a horn-shaped object.

The equations of the curves that bound the region are y = x^2 and y = 2x - 1.

The limits of integration for the cylindrical shells are the y-coordinates of the lowest and highest points of the region, which are y = 0 and y = 3, respectively.

The radius of each shell is x, and the height is given by the equation y = (2x - 1) - x^2.

The volume of each cylindrical shell is given by dV = 2πx[(2x - 1) - x^2] dy.

Integrating from y = 0 to y = 3, we get:

V = ∫[0,3] 2πx[(2x - 1) - x^2] dy

= 2π ∫[0,3] x[(2x - 1) - x^2] dy

= 2π ∫[0,3] (2x^2 - x^4) dy

= 2π [2/3 x^3 - 1/5 x^5] from 0 to 3

= 2π [(2/3)(3)^3 - 1/5(3)^5]

= 54π/5

Therefore, the volume of the solid that results when the region enclosed by the curves y = x^2 and y = 2x - 1 is revolved about the y-axis is 54π/5.

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if the population standard deviation is increased while the sample size is 28, the confidence interval will become wider. This is because there is more variability in the sample mean, and therefore more uncertainty in the estimate of the population parameter.

If the sample size is 28 and the population standard deviation is increased, there will be a direct impact on the confidence interval. This is because the confidence interval is calculated based on the sample mean and the standard deviation. If the population standard deviation is increased, it means that there is more variability in the population. This increase in variability will lead to wider confidence intervals.
A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. The width of the confidence interval is determined by the sample size, the standard deviation, and the level of confidence.
In this case, if the population standard deviation is increased, it means that the sample standard deviation will also increase. The sample mean will be relatively more variable than it would be if the population standard deviation was lower. This increase in variability will cause the confidence interval to become wider, as there is more uncertainty in the estimate of the population parameter.
In summary, if the population standard deviation is increased while the sample size is 28, the confidence interval will become wider. This is because there is more variability in the sample mean, and therefore more uncertainty in the estimate of the population parameter. It is important to note that increasing the sample size can help to reduce the impact of increased population standard deviation on the confidence interval, as a larger sample size provides more accurate estimates of the population parameter.

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When x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

Given function:

f(x) = 2x + 8

when x = -2

f(-2) = 2(-2) + 8

= -4 + 8

f(-2) = 4

when x = 0

f(0) = 2(0) + 8

= 8

f(0) = 8

when x = 5

f(5) = 2(5) + 8

= 10 + 8

f(5) = 18

Therefore when x = -2 , f(x) = 4 , when x = 0, f(x) = 8 ,and when x = 5, f(x) = 18.

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The graphics tool used to help determine whether a process is in control or out of control is a. control chart.

A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.

The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.

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Answer:

No answer.  The question is not correct.  2x-6 cannot be equal to 2x+4

Step-by-step explanation:

2(x-3) = 2x+4

2x-6 = 2x+4

This can't be true.  2x-6 cannot be equal to 2x+4:

Subtract 2x from both sides and we are left with -6 = 4:  FALSE

Answer:

Step-by-step explanation:

Taking the LHS and distributing

Equating to the RHS

On inputting any value for x, this equation will not be correct.

Hence, it has no solution.

The estimated total cost of the clothes in your cart is $104.

Estimated costs are approximate projections of future costs associated with producing goods or completing a project. This includes both fixed and variable costs such as labor, materials and capital. Cost forecasting is very important for project-based companies. Upon notice, the parties must comply with the Fixed Price Agreement. Based on the prices you provided, the estimated cost of the items in your cart would be:

$23 (shirt) + $38 (trousers) + $17 (sweatshirt) + $26 (shoes) = $104

Therefore, the estimated total cost of the clothes in the cart is $104. However, please note that this is only an approximation and actual costs may vary due to factors such as sales tax and applicable discounts. 

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Answer:

0

Step-by-step explanation:

5y+20=5y+20

Answer:

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Step-by-step explanation:

Let x be the age (in years of Alice and Malice (They have the same age because they are twins).

Age of Bob: x+8  (because he is 8 years older than the twins).

Then the sum of their three ages is 23:

x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23

2x + ( x+8) = 23

3x+8 = 23

3x = 15

(3x)/3 = 15/3

x = 5

So ...

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Answer:

16+(-21+4) = -1

Step-by-step explanation:

16 added to .. is 16 + ..

the sum of -21 and 4 is (-21 + 4)

So we get 16+(-21+4), that equal -1

Answer:

perimeter-

perimeter outer rectangle = 2 (l+b)

=2×8+9

= 2×17

2×17 =34 cm sq.

perimeter of inner rectangle = 2 (l+b)

= 2×5+3

=2× 8

= 16 cm sq.

perimeter of shaded portion= 34 - 16

= 18 cm sq.

area-

area of inner rectangle =l×b

l×b = 3×5

3×5=15

15 cm sq.

area of outer rectangle =l×b

l×b= 9×8

9×8= 72

72 cm sq.

area of shaded portion = 72 -15 =57 cm sq.

hey there! In second method i have done first area of inner rectangle but you have to do first area of outer rectangle...

hope it helps you....

Answer:

Let A1 = be the large rectangle and A2 the small rectangle

=> Area A1: S1 = a1.b1 => S1 = 8 x 9 = 72m2

=> Area A2: S2 = a2.b2 => S2 = 3 x 5 = 15 m2

=> Area of the remaining surrounding square: S1-S2 = 72-15 = 67m2

=> Perimeter A1: P1 = 2 (a1 + b1) = 2 (9 + 8) = 34m

=> Perimeter A2: P2 = 2 (a2 + b2) = 2 (3 + 5) = 16m

=> Perimeter of the surrounding square: P1-P2 = 34-16 = 18m

Step-by-step explanation:

Answer: y = 5/2 and x has infinitely possible values.

Step-by-step explanation:

We can first set up the equation.

xy = (5/2)x

We can divide by x on both sides.

y = 5/2 and x has infinitely possible values.

Answer:

80/295 = 27%

Step-by-step explanation:

Answer:

30 % of the costumers where serve tea

Given the values, the next four terms of the recursive sequence are: a₂ = 3 a₃ = 6 a₄ = 10 a₅ = 15

In the given recursive sequence, the first term is a₁ = 2, and each subsequent term is obtained by adding the index (n) to the previous term (aₙ₋₁).

To find the next terms, we can apply the recursive rule:

a₂ = 2 + a₁ = 2 + 2 = 4

Now we can continue with the pattern:

a₃ = 3 + a₂ = 3 + 4 = 7

a₄ = 4 + a₃ = 4 + 7 = 11

a₅ = 5 + a₄ = 5 + 11 = 16

Therefore, the next four terms of the sequence are:

a₂ = 3,

a₃ = 6,

a₄ = 10,

a₅ = 15.

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Suppose that F(x) = \(A0 + A1*x + A2*x^2 + A3*x^3 + A4*x^4 + ....\) If F(x) = 1/(1-x), A1000 = 1000!

The function F(x) can be expressed as a geometric series with a first term of 1 and a common ratio of x. Thus, we can write:

F(x) = \(1 + x + x^2 + x^3 + x^4 + ...\)
To find the coefficients A0, A1, A2, A3, A4, and so on, we can differentiate both sides of the equation with respect to x. This gives:
F'(x) = \(1 + 2x + 3x^2 + 4x^3 + 5x^4 + ...\)
Multiplying both sides by x, we get:
xF'(x) = \(x + 2x^2 + 3x^3 + 4x^4 + 5x^5 + ...\)
Now, we can differentiate both sides of this equation with respect to x again:
xF''(x) + F'(x) = \(1 + 4x + 9x^2 + 16x^3 + 25x^4 + ...\)
Multiplying both sides by x again, we get:
x(xF''(x) + F'(x)) = \(x + 4x^2 + 9x^3 + 16x^4 + 25x^5 + ...\)
Continuing this process, we get:
x^nFn(x) = \(n!x^n + n(n-1)!x^{(n+1)} + n(n-1)(n-2)!x^{(n+2)} + ...\)
Now, we can substitute x = 0 into this equation to find the coefficients. When we do this, all the terms except for the first one on the right-hand side disappear. Thus:
A0 = 1
A1 = 1
A2 = 2
A3 = 6
A4 = 24
We can see that the coefficients are the factorials of the index, so:
An = n!
Therefore, A1000 = 1000!

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The first principal component score for observation 1 is -147.2342. The second principal component score for observation 2 is -211.985.

The mean and standard deviation for x1 are 5.2 and 1.5, respectively. The mean and standard deviation for x2 are 381.4 and 120.7, respectively. Compute the z-scores for the x1 and x2 values for the two observations. Z-score (standardized value) is the number of standard deviations an observation or data point is above or below the mean. It helps us in comparing two different variables with their respective measures of variation. So, the formula for Z-score is: Z-score = (X - mean) / Standard Deviation Using the above formula, the z-scores for the x1 and x2 values for the two observations are:                                                                                                                                                                                                Observation 1:
z-score x1 = (5.30 - 5.2) / 1.5 = 0.067
z-score x2 = (345.70 - 381.4) / 120.7 = -0.296
Observation 2:
z-score x1 = (4.20 - 5.2) / 1.5 = -0.667
z-score x2 = (257.30 - 381.4) / 120.7 = -1.030

Compute the first principal component score for observation

The first principal component score for observation 1 is calculated as:                                                                                                                                                                                                  PC1 = -0.84 (x1) - 0.41 (x2)
PC1 = -0.84 (5.30) - 0.41 (345.70)
PC1 = -5.2672 - 141.967
PC1 = -147.2342

Compute the second principal component score for observation 2.

The second principal component score for observation 2 is calculated as:                                                                                                                                               PC2 = 0.43(x1) - 0.83(x2)
PC2 = 0.43(4.20) - 0.83(257.30)
PC2 = 1.806 - 213.791
PC2 = -211.985

Principal component analysis (PCA) is an unsupervised, dimensionality reduction, and exploratory data analysis technique. It aims to create new variables, known as principal components, that are a linear combination of the original variables that describe the underlying structure of the data effectively. Here, we are given the weights for computing the principal components and the data for two observations.

To calculate the z-scores for x1 and x2 values for the two observations, we used the formula z-score = (X - mean) / standard deviation. By computing the z-scores, we can compare two different variables with their respective measures of variation. Here, we found the z-scores for x1 and x2 values for the two observations using the mean and standard deviation of the given data.

For observation 1, we calculated the first principal component score using the formula PC1 = -0.84 (x1) - 0.41 (x2), which is -147.2342.                    

For observation 2, we calculated the second principal component score using the formula PC2 = 0.43(x1) - 0.83(x2), which is -211.985. So, the main answer for this question is:

The z-scores for x1 and x2 values for the two observations are:
Observation 1: z-score x1 = 0.067; z-score x2 = -0.296
Observation 2: z-score x1 = -0.667; z-score x2 = -1.030

The first principal component score for observation 1 is -147.2342.

The second principal component score for observation 2 is -211.985.

Therefore, the conclusion is the above calculations and methods for computing the z-scores and principal component scores are used in principal component analysis (PCA), which is an unsupervised, dimensionality reduction, and exploratory data analysis technique.

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