Question 4: Subtract the following polynomials in this equation.

Answer:

She needs to score 78 on her next test

Step-by-step explanation:

\(\frac{78+60+82+94+88+x}{6}=80\)

Collect like terms;

\(\frac{402+x}{6}=80\)

Multiply both sides by 6;

402 + x = 480

Subtract 402 from both sides;

x = 78

In a closed-loop system with a positive feedback gain B, the overall gain G of the system Increases.

Gain can be defined as the amount of output signal that is produced for a given input signal. In a closed-loop control system, the system output is constantly being compared to the input signal, and the difference is used to adjust the output signal to achieve the desired result.

The system's overall gain is equal to the product of the feedback gain B and the forward gain A.

The output signal is added to the input signal to produce the overall signal in a positive feedback loop.

This increases the amplitude of the overall signal in each successive cycle, making the output progressively larger and larger.

As a result, in a closed-loop system with a positive feedback gain B, the overall gain G of the system Increases.

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Using the data in the stem- and -leaf plot, mean value of given data is 4.59 feet means that a typical throw of the ball results in 4.59 feet.

Mean or arithmetic mean is the ratio of sum of all the observation to the number of observations in a data set. It is given by the formula,

                                  \(Mean = \frac{sum of observations}{number of observations}\)

The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.

The data are given below:

2.0, 2.1, 3.3, 3.1, 3.1, 5.4, 5.1, 5.3, 4.5, 4.0, 8.6, 8.2.

Number of data = 12.

\(Mean = \frac{sum of observations}{number of observations}\)

         = \(\frac{2.0+2.1+3.3+3.1+3.1+5.4+5.1+5.3+4.5+4.0+8.6+8.2}{12}\)

         =\(\frac{54.7}{12}\)

         = 4.59 feet.

Hence, using the data in the stem- and -leaf plot, mean value of given data is 4.59 feet means that a typical throw of the ball results in 4.59 feet.

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Answer:4.59 feet; The value means that a typical throw of the ball results in 4.59 feet.

Step-by-step explanation:

i did in class want it to help yall ik how hard school can be

The utility function u(x) = 0.25**(x/200) is consistent with Pablo's preferences.

To determine which utility function, represented by u(x), is consistent with Pablo's preferences, we need to compare the utility values for different prospects.

Pablo's certain equivalent for a deal with a 0.8 chance at $500 and a 0.2 chance at $100 is $300. We can calculate the expected value of this prospect:

Expected value = (0.8 * $500) + (0.2 * $100) = $400 + $20 = $420

Now let's evaluate the utility values for the given utility functions and compare them to $300 and $420.

a) u(x) = 10 - 10x^4 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 10 - 10($420)^4 - $420/200 ≈ -1.06 x 10^18

b) u(x) = 1 - 0.25 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 1 - 0.25 - $420/200 = 1 - 0.25 - 2.1 ≈ -1.35

c) u(x) = 5 - 2x^4 + x/300

If we substitute x = $420 into this utility function, e get:

u($420) = 5 - 2($420)^4 + $420/300 ≈ -1.59 x 10^16

d) u(x) = 0.25**(x/200)

If we substitute x = $420 into this utility function, we get:

u($420) = 0.25**(420/200) ≈ 0.063

Comparing the utility values to Pablo's certain equivalent ($300) and the expected value ($420), we find that option d) u(x) = 0.25**(x/200) is consistent with Pablo's preferences, as it yields a utility value (0.063) closer to the expected value than the others.

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Answer: The formula is x6

Step-by-step explanation:

Answer:

Step-by-step explanation:

A square is a 4 sided polygon in which all of its side lengths are equal and the diagonals are also be

To create a list of 10 random numbers ranging from 1 to 1000, you can use the `random` module in Python. Here's an example of how you can generate the list:

```python
import random

def create_random_list():
   random_list = []
   for _ in range(10):
       random_number = random.randint(1, 1000)
       random_list.append(random_number)
   return random_list

numbers = create_random_list()
print(numbers)
```

This code will generate a list of 10 random numbers between 1 and 1000 and store it in the variable `numbers`.

Next, let's design a function that accepts this list and uses recursion to find the biggest value and its index number. Here's an example:

```python
def find_biggest(numbers, index=0, max_num=float('-inf'), max_index=0):
   if index == len(numbers):
       return max_num, max_index
   if numbers[index] > max_num:
       max_num = numbers[index]
       max_index = index
   return find_biggest(numbers, index + 1, max_num, max_index)

biggest_num, biggest_index = find_biggest(numbers)
print("The biggest value in the list is:", biggest_num)
print("Its index number is:", biggest_index)
```

In this function, we start by initializing `max_num` and `max_index` as negative infinity and 0, respectively. Then, we use a recursive approach to compare each element in the list with the current `max_num`. If we find a number that is greater than `max_num`, we update `max_num` and `max_index` accordingly.

The base case for the recursion is when we reach the end of the list (`index == len(numbers)`), at which point we return the final `max_num` and `max_index`.

Finally, we call the `find_biggest` function with the `numbers` list, and the function will return the biggest value in the list and its index number. We can then print these values to verify the result.

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The data displays be used to compare populations as

(i)they quickly illustrate measures of center

(ii)they show trends in data that can be compared.

Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well.

It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed.

It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays.

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Answer:

The answer is b. -0.5

Step-by-step explanation:

Answer:

the answer is b. -0.5 i believe

Answer:

cost of 1 crate of lettuce = x

cost of 1 crate of cabbage = y

\(4x + 3y = 34.2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(1)\)

\(2x + 5y = 31.8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(2)\)

Multiplying eq. (2) by 2

\(4x + 10y = 63.6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ...(3)\)

(3)-(1)

\(7y = 29.4 \\ y = \frac{29.4}{7} \\ y = 4.2 \\ \)

Putting this in (2)

\(2x + 5(4.2) = 31.8 \\ 2x = 10.8 \\ x = 5.4\)

.'. Cost of 1 crate of lettuce= $5.40

Cost of 1 crate of cabbage= $4.20

Answer:

Let 1 crate of lettuce be X and 1 crate of cabbage be y.

Now from question,

4 crates of lettuce and 3 crates of cabbage costs 34.20$

i.e.4x+3y=34.20----(1)

Also,

2 crates of lettuce and 5 crates of cabbage costs 31.80$

i.e. 2x+5y=31.80----(2)

Multiplying eqn (2) by 2 then subtracting from (1), we get,

4x+3y - {2(2x+5y)}=34.20-(2×31.80)

or,4x-4x+3y-10y=34.20-63.60

or,-7y= -29.40

:.y=4.20

Putting value of y in eqn 1 we get,

4x=34.20-12.60

or,4x=21.60

or,X=21.60/4

:.X=5.40

Hence,Cost of each crate lettuce i.e.X=5.40$

and,each crate cabbage i.e y=4.20$

*Mark me brainliest "_"

Answer:

\(Area = 129.5m^2\)

\(Perimeter = 48m\)

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the \(area\ of\ the\ rectangle\)

\(A_1 = L * B\)

Where:

\(L = 20-(3.5 +3.5)\)

\(B = 7\)

So:

\(A_1 = (20 - (3.5 + 3.5)) * 7\)

\(A_1 = (20 - 7) * 7\)

\(A_1 = 13 * 7\)

\(A_1 = 91\)

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

\(A_2 = \pi r^2\)

Where

\(r = \frac{7}{2}\)

\(A_2 = \frac{22}{7} * (\frac{7}{2})^2\)

\(A_2 = \frac{22}{7} * \frac{49}{4}\)

\(A_2 = \frac{22}{1} * \frac{7}{4}\)

\(A_2 = \frac{22*7}{4}\)

\(A_2 = \frac{154}{4}\)

\(A_2 = 38.5\)

Area of the garden is

\(Area = A_1 + A_2\)

\(Area = 91 + 38.5\)

\(Area = 129.5m^2\)

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

\(P_1 = 2 * L\)

Where:

\(L = 20-(3.5 +3.5)\)

So:

\(P_1 =2 * (20-(3.5 +3.5))\)

\(P_1 =2 * (20-7)\)

\(P_1 =2 * 13\)

\(P_1 =26\)

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

\(P_2 = 2\pi r\)

Where

\(r = \frac{7}{2}\)

\(P_2 = 2 * \frac{22}{7} * \frac{7}{2}\)

\(P_2 = \frac{2 * 22 * 7}{7 * 2}\)

\(P_2 = \frac{308}{14}\)

\(P_2 = 22\)

Perimeter of the garden is

\(Perimeter = P_1 + P_2\)

\(Perimeter = 26 + 22\)

\(Perimeter = 48m\)

Answer:

becuae he couldent see sorry i had to do that

Answer:

satisfy the stringent demands of their sport.

Step-by-step explanation:

People who play tennis need tennis sunglasses, which specifically satisfy the stringent demands of their sport. Sunglasses designed for tennis players must accommodate their high level of precise hand-eye coordination and strenuous physical activity. They also have to promote acuity and clarity of vision under a wide range of lighting conditions.

Answer:

  D) A quadrilateral with one pair of opposite sides parallel

Step-by-step explanation:

Choice D matches the description of a trapezoid, not a parallelogram. That description will not guarantee the figure is a parallelogram.

On a scale drawing of a basketball court, 1 inch equals 8 feet the actual area of the basketball court if the scale drawing is 11. 75 inches by 6. 25 inches will be 4,700 square feet.

Given:

To solve the given question we will assume the court is rectangular in shape so we will solve by using formula of Area of rectangle

\(\rm Area \;of\;rectangle\;= l\times b\)

Where, l=length

            b=breadth

According to the given question,

    \(\rm Area = 94\; feet \times 50\; feet\\\\ = 4,700 \;square\; feet.\\\)

Therefore, Area of the basketball court will be 4,700 square feet.

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The confidence interval for p1 − p2 at the given level of confidence is (0.0275, 0.0727).

In order to solve the problem, first, you need to calculate the sample proportions of each population i.e. p1 and p2. Let the two proportions of population 1 and population 2 be p1 and p2 respectively.

The sample proportion for population 1 is:p1 = x1/n1 = 35/274 = 0.1277

Similarly, the sample proportion for population 2 isp2 = x2/n2 = 34/316 = 0.1076The formula for the confidence interval for the difference between population proportions are given as p1 - p2 ± zα/2 × √{(p1(1 - p1)/n1) + (p2(1 - p2)/n2)}

Where, p1 and p2 are the sample proportions, n1, and n2 are the sample sizes and zα/2 is the z-value for the given level of confidence (90%).The value of zα/2 = 1.645 (from z-tables).

Using this information and the formula above:=> 0.1277 - 0.1076 ± 1.645 × √{(0.1277(1 - 0.1277)/274) + (0.1076(1 - 0.1076)/316)}=> 0.0201 ± 0.0476

The researchers are 90% confident the difference between the two population proportions, p1 − p2, is between 0.0201 - 0.0476 and 0.0201 + 0.0476, or (0.0275, 0.0727).

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Answer:

\(\sqrt{16} < \sqrt{17} < \sqrt{18}\)

Step-by-step explanation:

Answer:

\(4 < \sqrt{17} < 5\)

Step-by-step explanation:

Mumble. The square root is something called "monotonic", which means that \(a > b \Leftrightarrow \sqrt a > \sqrt b\)

A neat trick to solve this will be: go back from 17 till you find a perfect square, then add 1 to it:

In our case it's easy to do it, since the number before 17 is a perfect square already (\(16=4^2\)), so we can pick it as the lower bound, and then add 1 to the base to find the next one (\(4+1= 5)\)

Answer:

c

Step-by-step explanation:

they are simple way to vote

Answer:

x > 1, x5 < - 2/5

Step-by-step explanation:

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The number of ways can the selection be made is 84.

Given:

an executive hires 3 office workers from 8 applicants.

a ) .

Number of ways = C ( 8 , 3 )

C ( n , r ) = n! / ( n - r ) ! r!

C ( 8 , 3 ) = 8! / ( 8 - 3 ) ! 3!

= 8! / 5! * 3 !

= 8 * 7 * 6 * 5! / 5! * 3!

= 56 * 6 / 3!

= 56 * 6 / 3 * 2 * 1

= 56 * 3 / 2 * 1

= 28 * 3 / 1

= 28 * 3

= 84 ways

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Answer:

y=3x-2

Step-by-step explanation:

y is for how many miles she wants to walk which is 6. she walks 3 miles per hour which is 3x (x is for hours) and -2 because she already walked 2 miles

The stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.

It is the true statement.

Given,

In the question:

Stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.

To check the above statement is true or false.

Now, According to the question:

Let's know about

Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members' shared attributes or characteristics, such as income or educational attainment.

In stratified random sampling, the strata are formed based on member's shared characteristics (e.g. female or male, occupation, education) or attribute (e.g. black or white).

Hence, The stratified random sampling is a sampling method that may allow for more accurate inferences to be made about a population.

It is the true statement.

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Answer:

- 8

Step-by-step explanation:

Step 1:

- 50 - c = 5c - 2     Equation

Step 2:

- 50 = 6c - 2    Add c on both sides

Step 3:

- 48 = 6c   Add 2 on both sides

Step 4:

- 48 ÷ 6     Divide

Answer:

c = - 8

Hope This Helps :)

Answer:

c=-8

Step-by-step explanation:

-50-c=5c-2

-c-5c=-2+50

-6c=48

c=48/-6

c=-8

hope it helps you

If he uses 875 kwh per month, he will pay about $81

The correct answer is an option (d)

Current use plan:

6.5 cents/kwh for the first 600 kwh

12 cents/kwh for the next 600 kwh

If the rates go up 1 cent in each category, the new rates would be:

7.5 cents / kWh for the first 600 kWh

13.0 cents / kWh the next 600 kWh

Given that he he uses 875 kwh per month.

We need to find the amount he will pay.

For first 600 kwh he will pay 7.5 cents/ kWh.

Then remaining rates would be 875 kWh - 600 kWh = 275 kWh

so, the expression for the total cost would be,

(600 × 7.5) + (275) × 13.0

= 4500 + 3575

= 8075 cents

= $ 80.75,

≈  $ 81

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

options 1 and 4. don't pick the others.

Step-by-step explanation:

The mean is the sum of these numbers = 16.86 / 6 = 2.81

2.55 is the mode; it repeats the most.

Put the numbers in order smallest to largest to find the median:

1.75, 2.55, 2.55, 2.91, 3.10, 4.00

We have 6 numbers so there's no middle number. So to get the median use the average of the two middle numbers. Our two middle numbers are 2.55 and 2.91. Add those together and divide by 2.

5.46/2 = 2.73

Your median is 2.73.

The mean is greater than the median. pick the first option.

Don't pick the second option bc the median is actually 2.73.

The mean is NOT less than the median so don't pick the third option.

The mode is 2.55. pick the fourth.

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sinx = \(\frac{opposite}{hypotenuse}\) = \(\frac{6}{10}\) , then

x = \(sin^{-1}\) (\(\frac{6}{10}\) ) ≈ 36.9° ( to 1 dec. place )

Answer:

give me brainly then i awnser

Step-by-step explanation:

When choosing between one of four computers and one of three printers, a customer has a total of 96 different system configurations.

If the set also is sorted, or if the items are arranged in a linear as well as sequential sequence, permuting it essentially includes moving its pieces around. In this usage, the term "permutation" is used to describe the process of changing the linear position of an ordered set. Configuration is the mathematical method by which the number of alternative configurations for a given set. In its most basic form, permutation is the variety of potential configurations or orders. With permutations, the arrangement of the elements is critical. A permutation is an arrangement of components in a particular order. Here, the parts in the set are arranged whether it be in linear or chronological order.

given

The number of ways to choose r items from a total of n items is given by n C r Number of options the customer has to choose from.

4C 1× 2 C 1× 4C 1× 3 C1

=4×2×4×3=96

When choosing between one of four computers and one of three printers, a customer has a total of 96 different system configurations.

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