Assume that a sample is used to estimate a population mean μ. Find the 98% confidence interval for a sample of size 67 with a mean of 43.1 and a standard deviation of 13.6. Enter your answer as an op

Answer:

non-linear i'm pretty sure

Step-by-step explanation:

The differential equation that could describe this relationship is → d²V/dt² - (3KV²)dV/dt = 0.

Given is that the rate of change of the volume {V} with respect to time {t} of water leaking from a tank is proportional to the cube of the volume.

We can write the proportional relationship as -

{dV/dt} \($\alpha\) {V}³

Replacing the proportional relationship as -

dV/dt = KV³               {K is constant}

d²V/dt² = K x d/dt (V³)

d²V/dt² = K x 3V² (dV/dt)

d²V/dt² = 3KV²(dV/dt)

d²V/dt² - (3KV²)dV/dt = 0

Therefore, the differential equation that could describe this relationship is → d²V/dt² - (3KV²)dV/dt = 0.

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The average sum of differences of a series of numerical data from their mean is zero (option a).

This property holds true for any data set when calculating the mean deviation (also known as the average deviation) from the mean. The mean deviation is calculated by taking the absolute difference between each data point and the mean, summing them up, and dividing by the number of data points.

However, it's important to note that this property does not hold true when using squared differences, which is used in the calculation of variance and standard deviation. In those cases, the average sum of squared differences from the mean would give the variance (option c) or the squared standard deviation (option e).

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Answer:

2/3x + 2 = y

Step-by-step explanation:

you subtract 3y to both side

subtract 6 to both side

divide both side by 3

Ernie has a conviction for marijuana use in his past. for the first three years of his employment, he had to submit to monthly drug testing. after three years of being clean, his employer changed the requirement to a random test twice a year. this change is an example of Negative Reinforcement.

Negative Reinforcement:

Negative reinforcement is one method that can be used to teach specific behaviors. Negative reinforcement removes discomfort or unpleasantness in response to a stimulus. It is said that as time goes on, target behavior increases in the hope that the objectionable will be removed.

Negative reinforcement reinforces a particular behavior by removing some kind of aversive consequences. As a form of reinforcement, it reinforces antecedent behaviors. In negative reinforcement, it is the action that removes the unwanted outcome or stimulus that serves as the reward for performing the action.

There are two types of negative reinforcement: example learning and avoidance learning. Avoidance learning is the escape from unwanted stimuli, and avoidance learning is the complete avoidance of experiencing aversive stimuli.

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Answer:

get a nvidia 2600 rtx it a good graphics card and then get a i7 its a good cpu

Step-by-step explanation:

The model with the highest revenue is model D

From the question, we have the following parameters that can be used in our computation:

                                                   Model A Model B Model C Model D Model E

Time to manufacture (mins) (t)         15             18         13              20     17

% Of monitors sold  (s)                  75%          73%      84%        95%   81%

Cost per monitor (c)                     $175         $188     $145     $198     $170

The factor works 9 hours for 7 days

So, the total duration per unit time is

D = 9 hours * 7/t

D = 63/t

Convert t to hours

D = 63 * 60/t

D = 3780/t

The total revenue is then calculated as

R = c * D * s

So, we have

Model A = 175 * 3780/15 * 75% = 33075

Model B = 188 * 3780/18 * 73% = 28820

Model C = 145 * 3780/13 * 84% = 35444

Model D = 198 * 3780/20 * 95% = 35551

Model E = 170 * 3780/17 * 81% = 30569

The highest value above is 35551

Hence, the model is model D

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Complete question

Model A Model B Model C Model D Model E

Time to manufacture 15 minutes 18 minutes 13 minutes 20 minutes 17 minutes

% Of monitors sold per total products 75% 73% 84% 95% 81%

Cost per monitor $175 $188 $145 $198 $170

A company manufactures computer monitors. Among the various models are top

products, which bring high revenue.

Assuming the manufacturing lines are running for 9 hours a day for 7 days a week,

which model brings in the highest revenue?

Answer:

34/1000

Step-by-step explanation:

34÷1000 equals 0.034

Any correlation less than or equal to 0.120 is statistically significant with alpha = 0.05 and a two-tailed test.

To find the correlation value that is less than or equal to a statistically significant correlation of 0.456 with a significance level of alpha = 0.05 and a two-tailed test, we can use the t-distribution with n-2 degrees of freedom.

First, we find the critical t-value for alpha/2 = 0.025 and n-2 = 16 degrees of freedom using a t-distribution table or calculator, which is approximately 2.120.

Next, we can use the formula for the confidence interval for the correlation coefficient:

\(r \pm t_{(n-2, \alpha/2)|} \times \sqrt{((1-r^2)/(n-2))}\)

where r is the sample correlation coefficient and \(t_{(n-2, \alpha/2)\) is the critical t-value.

For a correlation of 0.456, the confidence interval is:

\(0.456 \pm 2.120 \times \sqrt{((1-0.456^2)/(18-2))} \approx 0.120 $ to $ 0.689\)

Since we are looking for correlations that are less than or equal to the statistically significant correlation of 0.456, we can use the lower bound of the confidence interval:

0.120.

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The complete answer to the question is: correlations greater than or equal to 0.456 and correlation less than or equal to ±0.482 are statistically significant with ? = .05, two tails.

To determine which correlations are statistically significant with ? = .05, two tails, we need to use a table or calculator to find the critical value of r for a sample size of n = 18 and a significance level of .05. This critical value is ±0.482.

Therefore, any correlation greater than or equal to 0.456 and less than or equal to ±0.482 would be statistically significant with ? = .05, two tails.

So the complete answer to the question is: correlations greater than or equal to 0.456 and correlation less than or equal to ±0.482 are statistically significant with ? = .05, two tails.

To determine the statistically significant correlations for a sample of n = 18 pairs of X and Y values with α = 0.05 (two-tailed), you need to find the critical value from a correlation coefficient table or use a statistical software. Since you already have the value for positive correlations (greater than or equal to 0.456), let's find the value for negative correlations (less than or equal to _____).

Step 1: Identify the degrees of freedom (df).
For correlation, df = n - 2, so with n = 18 pairs of X and Y values, the df = 18 - 2 = 16.

Step 2: Look up the critical value for α = 0.05 (two-tailed) and df = 16.
Using a correlation coefficient table or statistical software, the critical value for a two-tailed test with α = 0.05 and df = 16 is approximately 0.456.

Step 3: Determine the negative correlation value.
Since the test is two-tailed, the critical value for negative correlations is the same as the positive correlations but with a negative sign.

Answer: Correlations less than or equal to -0.456 are also statistically significant at α = 0.05 (two-tailed).

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The perimeter of area ABCD is P = 12√10u = 37.94u

  The meaning of area is nothing more than the size of a flat surface, this size is based on dimensions, and is expressed as a metric unit squared, and also as a unit of area as is the case of hectares.

If the area of the image of the attached figure is, A = 90u², and it is a square then the perimeter will be 4 times the sides, determine the value of the sides.

A = L² = 90u²

L = √90u²

L = 3√10 u

P = 4L

P = 4(3√10u)

P = 12√10u

We can express it in decimal form and we are left with 37.94u

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Answer: D. 3/40

Step-by-step explanation:

There is a 6/30 chance that Cara got a date that was a multiple of 5 since there are 6 multiples of 5 in a matter of the 30 days of June (5, 10, 15, 20, 25, 30). There is also a 3/8 chance that she will chose a vowel in the word MATHLETE since there are 3 vowels within these 8 letters (A, E, E). With this information, you must multiply the fractions of 6/30 and 3/8 together in order to find the probability of chosing both a multile of 5 as well as a vowel. This can be done by multiplying the numerators together and the denonimators together and then simplifying the fraction to receive an answer of 3/40.

Answer:

It's D. No; a range value has two domain values

Step-by-step explanation:

The domain is the set of all x or input values. We may describe it as the collection of the first values in the ordered pairs.

The range is the set of all y or output values. We may describe it as the collection of the second values in the ordered pairs.

Answer:

I will help ur soul

Step-by-step explanation:

Do u need the work as well?

This means that the average cost of selected automobiles has increased by 16% between the two years.

Given data: The average cost of selected automobiles in 2019 = $15,000

The average cost of selected automobiles now (current year) = $17,400

Let's calculate the rate of increase in the average cost of the automobile between the two years.

To find the rate of increase, use the following formula;
rate of increase = increase in value / original value * 100

To get the increase in the value of selected automobiles, subtract the current year's average cost of selected automobiles from the previous year's average cost of selected automobiles.

i.e. increase in value = current year's average cost - previous year's average cost

= $17,400 - $15,000

= $2,400

Now put the values in the formula to get the rate of increase;

rate of increase = increase in value / original value * 100

= 2400 / 15000 * 100

= 16

Therefore, the rate of increase for selected automobiles between the two time periods is 16%.

It's essential to note the rate of increase or decrease in the value of products or services. It helps in decision making, future predictions, etc.

The above question deals with finding the rate of increase in the cost of selected automobiles. To get the rate of increase, the formula rate of increase = increase in value / original value * 100 is used.

To get the increase in the value of selected automobiles, subtract the current year's average cost of selected automobiles from the previous year's average cost of selected automobiles. i.e. increase in value = current year's average cost - previous year's average cost.

The value of selected automobiles was $15,000 in 2019, and now it is $17,400.

Now, the rate of increase in the average cost of automobiles can be found using the formula rate of increase = increase in value / original value * 100.

Put the values in the formula to get the rate of increase.

Therefore, the rate of increase for selected automobiles between the two time periods is 16%.

It indicates that if a person had bought an automobile in 2019 for $15,000, he has to pay $17,400 for the same automobile now.

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Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

3

2

+

6

+

1

8

=

0

3x^{2}+6x+18=0

3x2+6x+18=0

=

3

a={\color{#c92786}{3}}

a=3

=

6

b={\color{#e8710a}{6}}

b=6

=

1

8

c={\color{#129eaf}{18}}

c=18

=

−

6

±

6

2

−

4

⋅

3

⋅

1

8

√

2

⋅

3

x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{3}} \cdot {\color{#129eaf}{18}}}}{2 \cdot {\color{#c92786}{3}}}

x=2⋅3−6±62−4⋅3⋅18

2

Simplify

Answer:

x=-1+or-i radical 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

y = 3, 4, or 5

Step-by-step explanation:

Step 1; Simplify the Double Inequality

Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.

In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the entire inequality by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)

Doing so gives us the following double inequality: 2.5 < y < 6.

Step 2: Identify the Integers in this Range

Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is any number that is not a fraction when fully simplified (ex. …-1, 0, 1...).)

In other words, we need to find all of the integers in between 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!

The costs of the drinks and tacos together: 6 dollars (drinks) + 18 dollars (tacos) = 24 dollars

To compute the total cost based on the number of drinks and tacos, we need to multiply the respective quantities by their individual prices and sum them up.

Let's assume the number of drinks is represented by the variable "numDrinks" and the number of tacos is represented by the variable "numTacos."

The price of a drink is $3, so the cost of the drinks is given by "numDrinks * 3."

The price of a taco is $6, so the cost of the tacos is given by "numTacos * 6."

To calculate the total cost, we add the cost of drinks and the cost of tacos:

total Cost = (numDrinks * 3) + (numTacos * 6)

For example, if we have 2 drinks and 3 tacos:

total Cost = (2 * 3) + (3 * 6)

= 6 + 18

= 24

So, the total cost would be 24 dollars.

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Answer:

Graphs aren't mandatory, but they may help visual learners see why an equation works a certain way. Also, they are a visual tool to quickly find a solution to a problem. Furthermore, they help with presentations to quickly convey an idea to someone (who may not be well versed in mathematics).

For example, if you save $10 a week and already have $50 in a savings account, then the equation you graph is y = 10x+50. Here x is the number of weeks and y is the amount saved.

Now let's say you want to find out how many weeks it would take to have $90 total. You could use guess and check to get the answer. Or you could use algebra and the substitution property. The visual way would be to graph y = 10x+50 and y = 90 together to note how the two lines intersect at (4, 90) to indicate it will take x = 4 weeks to have y = 90 total.

Answer:

Positive thread.

(It's making a positive slope.)

If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.

What is derivative?

In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.

To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:

\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)

Now we can find f'(0) by substituting the value x=0:

\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)

f'(0) = 1 / (4+1) * (1 - 3)

f'(0) = -2/5

Therefore, f'(0) = -2/5.

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Answer:

59 cm^3

Step-by-step explanation:

You can split the shape into two rectangular prisms.

3*3*1=9

10*5*1=50

9+50=59

The range of the relations (-8, -3), (-3, -8), (-1, 6) and (4, 2) is

Range is dictated by the output variables which are plotted in the y coordinates or represented by y in ordered pairs

considering the given ordered pairs (-8, -3), (-3, -8), (-1, 6) and (4, 2) the range is the possible extents of the numbers

Examining the numbers the least number is -8 while the highest is 6, hence the range will be values from -8 to 6

This can be written as -8 ≤ y ≤ 6 or {-8, 6}

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Answer:

25 percent

Step-by-step explanation:

Since the dance team has 9 girls and 3 boys, it is made up of 12 people.  3 of those members are also on the debate team.  12/3 = 4, meaning that a fourth of the dance team is also on the debate team.  This translates to 25 percent

25% of the dance team is also on the debate team.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

There are a total of 9 + 3 = 12 members on the dance team.

Two of the girls and 1 of the boys are also on the debate team.

i.e

2 + 1 = 3

The percentage of the dance team that is also on the debate team.

= (3/12) x 100%

= 25%

Thus,

25% of the dance team is also on the debate team.

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Step-by-step explanation:

the second and the 6th options keep the same graph but shift it to the left.

the other options :

the first option changes the graph (the factor -2 stretched and flips the graph).

the third and the 5th options shift the graph up and down. but not to the left.

the 4th option shifts it to the right.

when you add a constant inside the x terms, you shift to the left.

when you subtract a constant inside the x terms, you shift to the right.

e.g. when having f(x+2), then everything, that should happen at x+2 happens already at x. 2 units earlier, and therefore a shift to the left.

in the other direction, f(x-2) makes everything that should have happened at x-2 happen finally at x. so, everything shifts 2 units to the right.

Answer:

\(17 \le t \le 28\)

Step-by-step explanation:

Given

\(t = 22\frac{1}{2}\) --- average time

\(\triangle t = 5\frac{1}{2}\) --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

\(t \± \triangle t\)

So, the inequality is:

\(22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}\)

Solve:

\(17 \le t \le 28\)

The formula for the circumference of a circle can be derived from the concept of the circle's diameter and π (pi).

The circumference of a circle is defined as the distance around its outer edge. To derive the formula, we first need to understand that the diameter of a circle is the distance across it, passing through the center. It is equal to twice the radius (the distance from the center to any point on the circle).

Now, if we take the ratio of the circumference to the diameter for any circle, we find that this ratio is always constant, regardless of the size of the circle. This constant ratio is denoted by the Greek letter π (pi), which is approximately equal to 3.14159. Therefore, we can express the circumference of a circle as C = πd, where C represents the circumference and d represents the diameter. Alternatively, we can use the radius (r) and express the formula as C = 2πr. These formulas allow us to calculate the circumference of a circle based on its diameter or radius.

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