Find the zeros of the function. Write the smaller solution first, and the larger solution second f(x)=(x+2)2-16 smaller x larger x

\(average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions} \)

\( = \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6} \)

\( = \frac{9160}{6} \)

\( = 1526.66\)

___________________________________________

1526.66 is the average of his sales for this period.

Since the calculated chi-square value (3.91) is less than the critical value (7.82) and the significance level is 0.05, the null hypothesis cannot be rejected.

The null hypothesis in a chi-square goodness-of-fit test for independent assortment is that the observed data fits the expected data under the assumption of independent assortment. Therefore, we conclude that there is no significant difference between the observed and expected data under the assumption of independent assortment at a significance level of p=0.05.

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In Tacoma, the tax on a property assessed at $570,000 is $11,400. If tax rates are proportional in this city,

how much would the tax be on a property assessed at $670,000?

Applying proportion

11,400/570,000=x/670,000

solve for x

x=(11,400/570,000)*670,000

x=$13,400

Answer:

55 degrees

Step-by-step explanation:

sin Φ = cos 35

sin Φ = .81915

Φ = arc sin (.81915) = 55 degrees

Or you could just know that the cos of an angle is equal to the sin of its comeplement

Answer:

Step-by-step explanation:

The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.

The explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...

  \(a_n=a_1+d(n-1)\)

For first term a₁ = 10010 and common difference d = -250, the explicit rule is ...

  \(a_n=10010-250(n-1)\)

On day 14, n=14, and the number of words written is ...

  \(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)

The writer would write 6760 words on the 14th day.

Answer:

29 is the answer for me

Step-by-step explanation:

hope that helps

Answer:

29

Step-by-step explanation:

add all the numbers together(sorry if its wrong its been a while since ive done this)

Answer

3 7/10

Step-by-step explanation:

Answer:

7 and 3/10

Step-by-step explanation:

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Charge for bike rental :

initial price = $15

Additional charge = $0.75 per hour

Expression to model the above :

15 + 0.75h

The variable H represents The cost per hour? Or the number of hours?

The variable h in the expression is the number of hours,

Since the additional charge rate is $0.75 per hour, $0.75 for each hour of bike rental

The constant 15 represents the initial rental price or the number of hours?

$15 represents the initial price being paid to rent a bike

The variable term 0.75h represents, the hourly rental amount or the number of hours?

Multiply the amount charged per hour by the number of hours gives us the total additional amount charged for the number of hours biked

The expression that can be used to solve the question will be H = 15 + 0.75h.

The expression to solve the question will be H = 15 + 0.75h.

where,

Therefore, let's say we want to find the cost for 4 hours. This will be:

H = 15 + 0.75h.

H = 15 + 0.75(4)

H = 15 + 3

H = 18

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The 25th percentile is 35 and the 60th percentile is 46.

Given,

The following are the ages of 15 of the signers of the declaration of Independence 47, 46, 54, 31, 50, 46, 27, 62, 40, 39, 50, 44, 35, 30, and 41 Send data to Excel Find 25th and 60th percentiles for these ages.

(a) 25th percentile = (n + 1) * Pth value

                             = (15 + 1) * 0.25th value

                             = 4th value

                             =35

(b) 60th percentile = (n + 1) * Pth value

                               = (15 + 1) * 0.6th value  

                               = 9.6th value

                               =46

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Answer:

68

Step-by-step explanation:

look at the picture, the answer is in there along with the explanation

The series is a convergent p-series with p = 3/2.

The given series is:

1 + 1/(2√2) + 1/(3√3) + 1/(4√4) + 1/(5√5) + ...

To determine whether this series is convergent or divergent, we can rewrite it as:

Σ (1/n√n) from n = 1 to ∞

Now we can use the p-series test. A p-series is of the form Σ (1/n^p) from n = 1 to ∞, where p is a constant. If p > 1, the series is convergent; if p ≤ 1, the series is divergent.

In this case, we have:

1/n√n = 1/n^(3/2)

So, p = 3/2. Since p > 1, the series is a convergent p-series with p = 3/2.

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Answer:

  b = 72

Step-by-step explanation:

It is a linear equation in one variable, b. Maybe you want the solution.

Multiplying the equation by 24, we get ...

  9b +4b +10b = 1656

  23b = 1656 . . . . collect terms

  b = 72 . . . . . . . . divide by 23

The top-level view of an information system that shows the system's boundaries and scope is known as a context diagram. (Option a)

A context diagram is a visual representation of an information system that shows the system's boundaries, external entities, and the interactions between them. It is used to define the scope of the system and to identify the inputs and outputs of the system. A context diagram is a high-level diagram that provides an overview of the system, and it is often used as a starting point for the development of more detailed diagrams and models.

To create a context diagram, follow these steps:

By following these steps, you can create a clear and concise context diagram that provides a high-level overview of the information system.

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Complete Question:

a top-level view of an information system that shows the system's boundaries and scope is known as which of the following? a. context diagram b. sequence flow diagram c.data relation diagram d. decision tree.

Answer:

- 250% + 75% = -175% = - 1 3/4

Step-by-step explanation:

That is the answer to your dilemma

Answer:

6.76 in

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle  formed at the intersection between the adjacent side and the hypotenuse , and the opposite side is x :

Replacing with the values given:  

Sin 25 = x/ 16  

Solving for x  

sin25 (16) =x  

x= 6.76 in

Feel free to ask for more if needed or if you did not understand something.  

Answer:

average rate of change = - 8

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

here [ a, b ] = [ - 2, 4 ] , then

f(b) = f(4) = - 2(4)² - 4(4) + 7 = - 2(16) - 16 + 7 = - 32 - 9 = - 41

f(a) = f(-2) = - 2(-2)² - 4(-2) + 7 = - 2(4) + 8 + 7 = - 8 + 15 = 7

then

average rate of change = \(\frac{-41-7}{4-(-2)}\) = \(\frac{-48}{4+2}\) = \(\frac{-48}{6}\) = - 8

The populations of the listed countries are

India is 1.366 billion

China is 1.397 billion

Argentina is 45 million

the United States is 332 million

and Egypt is 102 million people.

Let's start with India. According to the World Bank, India's population is approximately 1.366 billion people, which is the second-largest population in the world after China. India's land area is approximately 1.269 million square miles.

Moving on to China, it has the largest population in the world, with approximately 1.397 billion people. China's land area is approximately 3.705 million square miles, making it the fourth-largest country in terms of land area.

Argentina, on the other hand, has a population of approximately 45 million people, with a land area of approximately 1.073 million square miles. This makes it the eighth-largest country in the world in terms of land area.

The United States has a population of approximately 332 million people, and its land area is approximately 3.796 million square miles. It is the third-largest country in terms of land area and the fourth-largest in terms of population.

Lastly, Egypt has a population of approximately 102 million people, with a land area of approximately 386 thousand square miles. It is the 30th largest country in terms of land area and the 14th most populous country in the world.

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Answer:

5 Ones dollar bills

3 five dollar bills

2 ten dollar bills

Step-by-step explanation:

As per the unitary method, Yves bought 60 angelfish and 360 parrotfish for the museum display.

Let's start by assigning variables to the unknown quantities. Let's assume the number of angelfish Yves bought is 'x,' and the number of parrotfish he bought is 'y.' We are given two pieces of information: the total number of tropical fish Yves bought (420) and the fact that he bought 6 times as many parrotfish as angelfish.

Total number of tropical fish:

We know that Yves bought a total of 420 tropical fish. So, we can write the equation:

x + y = 420

Parrotfish to angelfish ratio:

The problem states that Yves bought 6 times as many parrotfish as angelfish. This can be expressed as:

y = 6x

Now, we have a system of two equations with two variables. We can solve this system using the unitary method.

Step 1: Solve the second equation for y:

y = 6x

Step 2: Substitute the value of y in the first equation:

x + 6x = 420

Simplifying the equation:

7x = 420

Step 3: Solve for x:

x = 420/7

x = 60

Step 4: Substitute the value of x back into the second equation to find y:

y = 6x

y = 6 * 60

y = 360

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Answer:

the third one; lower left

Step-by-step explanation:

To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

Lower left: x increases by 2 and y by 2

Answer:

Modal average is the number that appears the most

Modal average: 3

1+2+3+4+5=15

15/3=    Mean: 3

Step-by-step explanation:

add all the bedrooms and divide that sum by the number of numbers added. That's the mean.

Hope this helps.

A) 4 is the mode of the table

B)

1+2+3+4+5=15

15/5=3

i. The average number of times a student visits the grocery store can be found by taking the first derivative of the moment-generating function and evaluating it at t=0. ii. The variance can be calculated using the second derivative of the moment-generating function and evaluating it at t=0.

i. To find the average number of times a student visits the store, we need to calculate the first derivative of the moment-generating function My(t) with respect to t and evaluate it at t=0. This derivative represents the expected value or mean. In this case, the moment-generating function is My(t) = 0.4(e^t + e^(-t)) + 0.1(1 + e^(3t)). Taking the derivative and evaluating at t=0 will give us the average number of visits. ii. To find the variance, we need to calculate the second derivative of the moment-generating function and evaluate it at t=0. The second derivative represents the variance. By taking the second derivative of My(t) and evaluating at t=0, we can obtain the variance of the distribution.

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12.

13.

Answer:

1: x^2+y^2-6x-4y-3=0

2: x^2+y^2-10x+4y=0

3: x^2+y^2-10x+2y+1=0

Answer:

7 \(\frac{5}{8}\)

Step-by-step explanation:

4 \(\frac{1}{4}\) + 3\(\frac{3}{8}\)  we need a common denominator and that would be 8

4 \(\frac{1}{4}\) = 4\(\frac{2}{8}\)  (\(\frac{1}{4}\) x \(\frac{2}{2}\) makes the equivalent fraction \(\frac{2}{8}\))

4\(\frac{2}{8}\) + 3\(\frac{3}{8}\) = 7\(\frac{5}{8}\)

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Answer:

$159.1

Step-by-step explanation:

Given that:

Original price of surfboard = $199

Reduction of price done = 10%

Then a coupon is used by a customer for $20 off.

To find:

How many dollars were paid by the customer?

Solution:

First of all, let us find the price after the reduction of 10% from the original price.

10% of $199 = \(\frac{10}{100}\times 199 = \$19.9\)

This price is reduced from the original price.

Price after reduction = $199 - $19.9 = $179.1

Now, again there is coupon of $20.

Therefore, final price that the customer had to pay = $179.1 - $20 = $159.1

Answer:

14%

Step-by-step explanation:

Answer: she has been home 68 mins so one hour and 8 mins

Answer:

1 hour and 40 minutes.

Step-by-step explanation: Just add them all up and then convert them into hours and minutes.