Solve each equation. Leave the answer as an improper fraction. 16x^2 = 49​

the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

learn more about proportion here:

https://brainly.com/question/31548894

#SPJ11

a) The profit function for the company is P(x) = R(x) - C(x), and evaluating at x = 40 gives the profit at that level of production.

b) The marginal profit function is the derivative of the profit function, and evaluating at x = 40 gives the rate of change of profit with respect to x at that level of production.

a) To find the profit function, we subtract the cost function from the revenue function. In this case, the cost function is C(x) = 18x + 400, and the revenue function is R(x) = 40x - 0.2x². Thus, the profit function is P(x) = R(x) - C(x). Evaluating this function at x = 40 means plugging in 40 for x in the profit function and calculating the corresponding value of profit.

b) The marginal profit function represents the rate of change of profit with respect to the level of production, which can be found by taking the derivative of the profit function. In this case, the derivative of P(x) with respect to x will give us the marginal profit function. Evaluating this function at x = 40 means substituting 40 for x in the marginal profit function and determining the corresponding rate of change of profit at that level of production.

Learn more about Profit

brainly.com/question/32864864

#SPJ11

Answer:

4.5 miles

Step-by-step explanation:

you do 40/3 and get .75, then do .75 times 60 and you get 4.5 miles. her mile a minute ratio is 13 mins and about 23 seconds

\( \: \: \: \: \: \: \)

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

for more question on probabilities visiT:

https://brainly.com/question/25839839

#SPJ8

Answer:

hamster heaven

y=20+2.5x

hamster fun world

y=35+x

Step-by-step explanation:

by solving we get

x=10

y=45

by comparing the graph hamster fun world 8s cheaper on the long run

Mark Me Brainliest

Answer :

y=7x-47

Step-by-step explanation:

\( (8, 9) = (x_1,y_1) \\ m = 7 \\ y - y_1 = m(x - x _1) \\ y - 9 = 7(x - 8)\)

\(y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47\)

I hope it helps

Answer:

3,982,754.7645691

Step-by-step explanation:

please say its right

Answer:

Answer: C) diameter is twice the radius

Step-by-step explanation:

edge2021

For given data set, The value of mean is 6.02.

The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics.

The formula to calculate mean is = sum of all observations / total number of observations

x = 4     5    6    7    8  

f = 12     1     8   18   4        ∑f = 43

fx = 48  5   48  126  32    ∑fx = 259

The formula of mean = ∑fx /  ∑f

= 6.02

To learn more about mean from given link

https://brainly.com/question/1136789

#SPJ1

Answer:

Mean=8.8, Median=8

Step-by-step explanation:

How to find the mean:

First, add all the #'s up. 4+9+12+14+7+7=53

Then divide that by the number or numbers. In this case it is 6.

53/6=8.833... So rounded=8.8

Median:

List numbers lowest to highest

4, 7, 7, 9, 12, 14

Go to the middle number.

Since it is between 7 and 9, it is 7+9=16. 16/2=8

8 is the median

Answer:

\( - 4x + 3 - 7x - 8 \\ = - 11x - 5 \\ = - (11x + 5)\)

Answer:

-11x-5

Step-by-step explanation:

-4x-7x+3-8_______collect like terms together

-11x-5___________simplified form

Answer:

Joe is going with a speed of 7200

cm per minute. Bob is going with a speed of 8000

cm per minute. The distance between them change with 800

cm per minute. The distance will become 9000

cm in 10 minutes

Answer:

7200 8000 800 and 9000

Step-by-step explanation:

L

Answer:

That's pretty much correct. A continuous function is one that has no breaks or holes. For example, 1/x+5 is not continuous (or discontinuous) because the domain does not include -5. However, I don't think it needs to necessarily have to have curves because all linear functions are continuous. Hope this helps! (I learned about this a few weeks ago in my pre-calc class lol)

Step-by-step explanation:

Answer:

i think the answer is 385

Step-by-step explanation:

I'm only in seventh grade i might be wrong but if you divide 165 by three it's 55 so 55 x 7 is 385.

Step-by-step explanation:

bro its B.52° its pretty simple

The histogram is an illustration of a discrete probability, and the probability that this tomato plant has a height greater than 82.5 cm is 0.40

The histogram is given such that the distribution of the plant heights is:

75 < h ≤ 85

To estimate the probability that this tomato plant has a height greater than 82.5 cm, we make use of the following formula

P(h >82.5) = P(85)

From the histogram, we have:

P(85) = 24/60

Evaluate

P(85) = 0.40

Substitute P(85) = 0.4 in P(h >82.5) = P(85)

P(h >82.5) = 0.40

Hence, the estimated probability is 0.40

Read more about probability at:

https://brainly.com/question/251701

Answer:

here is the answer to your question

Answer:

Step-by-step explanation:

first, you would want to find the common denominator

3/8 (salads) = 3/8

1/4 (sandwiches) = 2/8

add them together to find out how much students and eating either salads or sandwiches

3/8 + 2/8 = 5/8

this means 5/8 of 24 students are eating either salads or sandwiches

24 students = 24/24 as a fraction

find the common denominator of 5/8 and 24/24

24/24 = 24/24

5/8 = 15/24

the final answer would be that 15 students out of 24 are eating a lunch other than a salad or sandwich

The number of people eating lunches other than salads or sandwiches is 3.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, In a cafeteria, 5/8 of the students are eating salads, and 1/4 are eating sandwiches.

So, The number of people eating salads is (5/8)×24 = 15.

And the number of people eating sandwiches is (1/4)×24 = 6.

Therefore, The number of people eating lunches other than salads or sandwiches is (24 - 15 - 6) = 3.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

know more about polynomial function  :brainly.com/question/11298461

#SPJ11

Answer:

14.5 cm

Step-by-step explanation:

x is the time, y is the height

first find slope (m) using the points (6,19) and (17, 13.5):

m = (13.5-19) / (17-6) = -5.5/11 = -5.5/11 = -0.5  this means the height of the candle lowers by 0.5 cm every hour

pick either point and use point-slope form to find the y-intercept (b):

y - 19 = -0.50(x - 6)

y - 19 = -0.50x + 3

y = -0.5x + 22

for x = 15 hours, f(x) = -0.5(15) + 22 = 14.5 cm

The estimated absolute error in approximating e^(-0.61) using the 4th-order Taylor polynomial of f(x) = e^x centered at 0 is approximately 1.29663 * 10^(-6).

To estimate the absolute error in approximating the quantity e^(-0.61) using the 4th-order Taylor polynomial of f(x) = e^x centered at 0, we can use the remainder term of the Taylor polynomial, also known as the Lagrange remainder or the Taylor remainder.

The remainder term for the nth-order Taylor polynomial of a function f(x) centered at a is given by:

R_n(x) = (f^(n+1)(c) / (n+1)!) * (x-a)^(n+1),

where f^(n+1)(c) is the (n+1)th derivative of f(x) evaluated at some value c between x and a.

In this case, we have f(x) = e^x, a = 0, x = -0.61, and n = 4. We need to find the (n+1)th derivative of f(x) and evaluate it at some value c between 0 and -0.61.

Let's calculate the derivatives of f(x) up to the 5th derivative:

f(x) = e^x

f'(x) = e^x

f''(x) = e^x

f'''(x) = e^x

f''''(x) = e^x

Since all derivatives of f(x) are equal to e^x, we can evaluate them at c = 0:

f^(n+1)(c) = f^(4+1)(0) = e^0 = 1.

Now we can plug these values into the remainder term formula:

R_4(-0.61) = (1 / (4+1)!) * (-0.61 - 0)^(4+1)

= (1 / 120) * (-0.61)^5

≈ 1.29663 * 10^(-6).

Therefore, the estimated absolute error in approximating e^(-0.61) using the 4th-order Taylor polynomial of f(x) = e^x centered at 0 is approximately 1.29663 * 10^(-6).

Learn more about taylor polynomials at https://brainly.com/question/31959426

#SPJ11

Answer:

y<= 1/3x-4

Step-by-step explanation:

Its an inequality thats why

Answer: $725

Step-by-step explanation:

100%-28%=72%

$522/72=7.25

7.25*100%=$725

To check the answer $725-28% (discount)=$203

$725 (yesterday price) - $203 (discount) = $522 (price today)

The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

To know more about Statistics, Visit

brainly.com/question/15525560

#SPJ11

Answer:

Mr. Robins commision rate is 15%.

Step-by-step explanation:

Answer: ..

Step-by-step explanation:

Wed: 0%

Thu: 30%

Fri: 50%

Sat: 80%

Sun: 100%

I got these answers by taking 100, and subtracting the rain percentage from it. For instance, if it was a 45% to rain, and a unknown amount for it to not rain, I would take 100 and subtract 45 from it, resulting in a 55% chance of it not raining.

If he spins the four-part spinner 100 times, he can expect to win each prize approximately 25 times. This can be determined by using the concept of probability.

Let's say Gustavo spins the spinner 100 times to demonstrate the likelihood of winning each prize. Since the spinner has four equal parts representing the four prizes, each prize has a 1/4 (or 25%) chance of being won on any given spin.

After spinning the spinner 100 times, we can expect Gustavo to win each prize approximately 25 times. However, it's important to note that these are expected values based on probability, and the actual results may vary due to chance.

Here's a breakdown of the expected number of times Gustavo might win each prize:

1. Video game system: Gustavo can expect to win the video game system around 25 times out of the 100 spins.

2. Bicycle: Similarly, Gustavo can expect to win the bicycle approximately 25 times out of the 100 spins.

3. Watch: Gustavo can also expect to win the watch around 25 times out of the 100 spins.

4. Gift card: Lastly, Gustavo can expect to win the gift card approximately 25 times out of the 100 spins.

Keep in mind that these are average values based on the assumption that each prize has an equal chance of being won. In reality, due to random chance, the actual results might deviate slightly from these expected values.

To know more about probability, refer here:

https://brainly.com/question/27693505#

#SPJ11

a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

To know more about standard deviations  click-

brainly.com/question/475676

#SPJ1