f(x)=x^2. what is g(x)?
please help asap!!

Answer: x = 2 hours y= 7 hours = 9 hours a week, 80$ a week

Step-by-step explanation:

5$x2=10$   10$x7=70$ 70$ + 10$ = 80 $.

hopefully, maybe that helps for the first question.

By using the concept of confidence interval, it can be inferred that

If many random samples of size 50 are selected from all students at this school, approximately 95% of the intervals would capture the true proportion of students who use the community's public library.

Second option is correct

What is confidence interval?

Suppose there is an unknown parameter. Confidence interval gives the range of estimate of that unknown parameter.

Suppose the parameter to be estimated is \(\theta\)

A confidence interval for the parameter \(\theta\), with  level of confidence 1 - a, is an interval  (u, v) with the property:

P(u < \(\theta\) < v) = 1 - a, a is the level of significance

Here confidence interval is 95%

The 95% confidence interval for the true proportion of all students who use the

community's public library is 0.25 to 0.34

Sample size = 50

Since confidence interval of 95% is given, so a concept of sample size will be used here

So the correct interpretation will be

If many random samples of size 50 are selected from all students at this school, approximately 95% of the intervals would capture the true proportion of students who use the community's public library.

Second option is correct

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Product of polynomials can be done by distribution of multiplication over addition. The product of  \((2x - 3)(2x^2 + 7x - 1)\) is \(4x^3 + 8x^2 -23x + 3\)

Suppose a, b and c are three numbers. Then we have:

\(a(b + c) = a\times b + a\times c\)

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

\((2x - 3)(2x^2 + 7x - 1) = 2x(2x^2 + 7x - 1) -3(2x^2 + 7x - 1) \\(2x - 3)(2x^2 + 7x - 1) = 4x^{1+2} + 14x^2 -2x - 6x^2 - 21x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + (14 -6)x^2 + (-2 -21)x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + 8x^2 -23x + 3\)

It is because when bases are same and there is multiplication, then powers add up, so we have: \(a^b \times a^c = a^{b+c}\)

Also, we've

\((-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve\)

where -ve, +ve are sign of operands and result.

That's why \(2 \times -1 = -2\)

Thus,

The product of   \((2x - 3)(2x^2 + 7x - 1)\)  is \(4x^3 + 8x^2 -23x + 3\)

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Answer:

6.

18+18 = 36

hence

x = 16

7.

x = 7 × 2

x = 14

Answer:

1) 30%, 50%, 10%

2) x = 24

Step-by-step explanation:

Hey there!

1) "MATHMATICS"

a) Vowels - a, e, i, o, u

This is 3/10 of the letters meaning pulling a vowel is 30%.

b) Constants - B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z

Well there are 5 constants in mathematics so the percent is 50%.

c) Letter "m"

The letter m is 1/10 meaning pulling the letter m is a 10%.

2) 8 added to twice a number gives 40. Find the number

Well lets set u an equation,

8 + x + 8 = 40

16 + x = 40

-16

x = 24

Hope this helps :)

Answer:

In bold.

Step-by-step explanation:

1.

There are a total of 11 letters in the bag including 4 vowels, 7 consonants.

The letter m appears  twice in mathematics.

(a) Probability(getting a vowel) = 4/11.

(b)  Probability(getting a consonant) = 7/11.

(c)  Probability(getting a letter m) = 2/11.

2.  

Let the number be n, then:

8 + 2n = 40

2n = 32

n = 16.

Answer: D. W

Step-by-step explanation:

The angles make a straight line.

The missing value in Diamond Problem 10 is 34.

The missing values in Diamond Problem 9 are 23.

The missing value in Diamond Problem 11 is X.

To complete the Diamond Problems, we need to follow the pattern shown on the right side of the question.

Diamond Problem 9:

-10 | 33

_|

برا | S

To find the missing values, we add the numbers in the opposite corners of the diamond:

برا + S = -10 + 33 = 23

Therefore, the missing values in Diamond Problem 9 are 23.

Diamond Problem 10:

12 | 3.4

|

10 | 15

To find the missing values, we multiply the numbers in the opposite corners of the diamond:

10 * 3.4 = 34

Therefore, the missing value in Diamond Problem 10 is 34.

Diamond Problem 11:

X | V₂

|

T | ?

To find the missing value, we add the numbers in the opposite corners of the diamond:

T + V₂ = X

Therefore, the missing value in Diamond Problem 11 is X.

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Answer:

The constant of proportionality is the ratio between two directly proportional quantities. It can represent a number of things such as; increase or decrease in a set of numbers, a (x,y) point on a graph, or it can just be shown in a table to show rate change.

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Step-by-step explanation:

50 × 5/100 = 2.50

50 + 2.50 = $52.50

Increasing the confidence level would increase the margin of error of a confidence interval, all other things remaining the same. This is because a higher confidence level corresponds to a wider interval so larger range of possible values.

In order to maintain the same level of precision, a wider interval requires a larger margin of error to account for the increased variability in the data.  For example, a 95% confidence interval would have a smaller interval width than a 99% confidence interval, as the latter requires a larger range of possible values to be included in the interval.

As a result, increasing the confidence level would increase the precision and accuracy of the estimate but at the cost of a larger margin of error.

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If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.

Let's evaluate each statement:

P(B/A) = 0.4:

This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.

Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.

P(A and B) = 0.12:

This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

P(A/B) = 0.3:

This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.

P(A or B) = 0.58:

This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.

If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.

Therefore, the correct statements are:

The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.

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Step-by-step explanation:

To find the mean, you add all the numbers and divide by how many there are.

In this case, you add -54,-32,-70,-25,-65, and -42. Then you divide by 6 because there are 6 numbers.

When you add them all, you get -288.

Now divide.

-288/6=-48

Hope it helps!

Answer:

-48

so you add all the numbers together, which will give you -288

there are 6 terms, so you divide -288 by 6

gives you your answer of -48

Answer:

1, 2, 3, 6, 9, 18, 27, 54

Step-by-step explanation:

Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8. To find the dot product between two vectors, we multiply their corresponding components and sum the results.

To find the dot product between two vectors, we multiply their corresponding components and sum the results. Let's denote the two vectors as v and w. Given that the components of v are 1 and -5, and the components of w are -5 and 0, the dot product can be calculated as follows:
v · w = (1 * -5) + (-5 * 0) = -5 + 0 = -5
Now, let's find the angle between the two vectors. The dot product can be used to find the angle using the formula:
cos(theta) = (v · w) / (||v|| * ||w||)
Where ||v|| and ||w|| represent the magnitudes (lengths) of the vectors. In this case, both vectors have a magnitude of \(\sqrt(26)\).
Substituting the values into the formula:
cos(theta) = -5 / \((\sqrt(26) * \sqrt(26))\) = -5 / 26
To find the angle theta, we can use the inverse cosine function:
theta = acos(-5 / 26)
Evaluating the expression gives:
theta ≈ 1.810
Rounded to the nearest tenth, the angle between the two vectors is approximately 1.8.

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The area of the actual wall is 972.16 square feet.

To determine the area of the actual wall, we need to convert the dimensions of the mural to the corresponding dimensions of the wall using the given scale.

The scale provided is 4 inches = 14 feet.

Let's find the conversion factor:

Conversion factor = Actual measurement / Mural measurement

In this case, we are converting from mural inches to actual feet. So, the conversion factor is:

Conversion factor = 14 feet / 4 inches

= 3.5 feet / inch

To find the dimensions of the actual wall, we multiply the dimensions of the mural by the conversion factor:

Actual width = 6.2 inches × 3.5 feet / inch

= 21.7 feet

Actual height = 12.8 inches × 3.5 feet / inch

= 44.8 feet

The area of the actual wall is the product of the actual width and actual height:

Area = Actual width × Actual height

= 21.7 feet × 44.8 feet

Calculating the area:

Area = 972.16 square feet

Therefore, the area of the actual wall is 972.16 square feet.

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Answer:

-6

Step-by-step explanation:

g(-4) here x = -4

So, we have to take g(x) = x - 2

g(-4) = -4 -2 = - 6

g(1) , here x = 1 ,

So, we have to take g(a)= -x +1

g(-1) = -1 + 1 = 0

g(-4) + g(-1) = -6 +0 = -6

Answer:

53 cm

Step-by-step explanation:

the distance from opposite corners of the rectangle, divide the rectangle into 2 congruent right triangles with legs 45 and 28 and the diagonal (d) , the hypotenuse.

using Pythagoras' identity in one of the right triangles , then

d² = 45² + 28² = 2025 + 784 = 2809 ( take square root of both sides )

d = \(\sqrt{2809}\) = 53

the distance from corner to corner is 53 cm

Answer:

53

Step-by-step explanation:

u see this is how Pythagorean theorem works a^2 + b^2 = c^2 so yep thats how i got 53 i hope this helps please give brainliest have a good morning/afternoon/night have a great day!!! :D.   THANK YOU FOR BRAINLIEST!!!!

To realize TCS's vision of "0-4-2," the following options are the needed actions:

A. Agile Ready Partnership

C. Agile Ready Workforce

D. Top-to-bottom Enterprise Agile Company ourselves

E. Agile Ready Workplace

These actions focus on enabling agility across different aspects of the organization, including partnerships, workforce, company culture, and the physical workplace.

By establishing an agile-ready partnership network, developing an agile-ready workforce, transforming the entire company into an agile organization, and creating an agile-ready workplace, TCS aims to drive agility and responsiveness throughout its operations.

Option B, "All get Agile Certified," is not mentioned in the given choices as a specific action required to realize the "0-4-2" vision.

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The complete question goes thus:

Which of these are the needed actions to realize TCS vision of “0-4-2”?Select the correct option(s):

A. Agile Ready Partnership

B. All get Agile Certified

C. Agile Ready Workforce

D. Top-to-bottom Enterprise Agile Company ourselves

E. Agile Ready Workplace

If Kara lines up all the 3/4-inch buttons for her craft project, the total length would be 7.5 inches.

To find the total length of the 3/4-inch buttons that Kara lines up for her craft project, we need to multiply the length of each button by the number of buttons. Let's assume she has 10 of these buttons. Each button has a length of 3/4 inch.

The total length of all the 3/4-inch buttons that Kara lines up for her craft project can be calculated by multiplying the number of buttons by their length.

Let's assume Kara has 10 3/4-inch buttons.

To find the total length, we need to multiply the length of each button by the number of buttons.

The length of each button is 3/4 inch, and the number of buttons is 10.

So, the total length would be (3/4 inch) * 10 = 7.5 inches.

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Based on the equation that is given, the total cost for the group to attend a play will be 2842.

From the information given, the cost in dollars for a group to attend a play is represented by 72p + 250.

Therefore, when the number of people are 36, the cost will be:

= 72p + 250

= 72(36) + 250

= 2592 + 250

= 2842

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Answer:

x=\(\sqrt{2}\)/4 and x=-\(\sqrt{2}\)/4

Step-by-step explanation:

One method of solving is using the Quadratic Formula: -b ±\(\sqrt{b^{2}-4ac }\)/2a, with a=8, b=0, and c=-1.

After plugging these values in you get -0±\(\sqrt{0^2-(4*8*-1)}\)/2*8

After simplifying you get ±\(\sqrt{32}\)/16

Because 32 is 2^5, you can simplify it to 4\(\sqrt{2}\), which makes the equation ±4\(\sqrt{2}\)/16, or ±\(\sqrt{2}\)/4.

Answer:

8:31

Step-by-step explanation:

all of them are equal with 1:4 except 8:31

Answer: y = -1/2

Step-by-step explanation:

Use the elimination method. When setting the equations up, you can see that the y values already cancel out. This makes it easy to find the x value.  

3x+4y=4                  3x+4y=4  

2x-4y=6     ----->  (-) 2x-4y=6

For the x value, you would get 2. 5x=10 therefore x=2.

Now that you have your x value, choose one of the original equations(either works). I chose 3x+4y=4. Now, substitute 2 into the x value then solve your equation for the y-value.

3x+4y=4   --->  3(2)+4y=4

3(2)+4y=4 then becomes 4y=-2 and when you isolate the variable, you get -1/2.

Answer:

I cannot see the x values so I cannot help with part D, but part C is y=3.50x+9.50

Step-by-step explanation:

the question states there is a fee of 9.50 for shipping costs, which is constant. this means it will be the y intercept in addition, since each shirt costs 3.50 each, the equation is y=3.50x+9.50

Answer:

1. the first one

2. the third one

3. the third one

Step-by-step explanation:

As a result, the extreme stem values may contain fewer rows than the other stem values. In our graph, the extreme stem values are 1 and 4, and they both have fewer rows than the middle values (2 and 3).

The shape and spread of a continuous data distribution are depicted by stem and leaf plots. These graphs are similar to histograms, but instead of bars, they display numbers.

Statistical software packages use an algorithm to improve our ability to read stem and leaf plots by displaying multiple rows of each stem value based on the properties of the data, as shown in the body fat percentage graph. There are two ones, five twos, five threes, and four fours.

The graph divides stem values into five rows for the body fat percentage data. Each row only has two leaf values (e.g., 0 and 1, 2 and 3, etc.) The leaf values terminate at the dataset's minimum and maximum values.

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