Find the F-test statistic to test the claim that the variances of the two populations are equal. Both distributions are normal. The populations are independent. The standard deviation of the first sample is 11.6185 12.0756 is the standard deviation of the second sample

Answer:

(4\(x^{2}\)+2)(\(x^{2}\)-3)

Step-by-step explanation:

 4x    +2

  x       -3

The absolute uncertainty of the product is the sum of the absolute uncertainties of the individual terms. The answer to (c) is 3.11 ± 0.26 mmol, with a percent relative uncertainty of 8.3%.

The absolute uncertainty of the first term is 1.0 mM, the absolute uncertainty of the second term is 0.2 mL, and the absolute uncertainty of the third term is 0.2 mL. So, the absolute uncertainty of the product is 1.0 + 0.2 + 0.2 = 1.4 mM.

The percent relative uncertainty of the product is the absolute uncertainty divided by the value of the product, multiplied by 100%. So, the percent relative uncertainty of the product is 1.4 / 91.3 * 100% = 1.5%.

The value of the product is 91.3 * 40.3 / 21.1 = 174.379 mM.

Therefore, the answer to (b) is 174.379 ± 1.4 mM, with a percent relative uncertainty of 1.5%.

The absolute uncertainty of the difference is the sum of the absolute uncertainties of the individual terms. The absolute uncertainty of the first term is 0.05 mmol, the absolute uncertainty of the second term is 0.01 mmol, and the absolute uncertainty of the third term is 0.2 mL. So, the absolute uncertainty of the difference is 0.05 + 0.01 + 0.2 = 0.26 mmol.

The percent relative uncertainty of the difference is the absolute uncertainty divided by the value of the difference, multiplied by 100%. So, the percent relative uncertainty of the difference is 0.26 / 3.12 * 100% = 8.3%.

The value of the difference is 4.97 - 1.86 = 3.11 mmol.

Therefore, the answer to (c) is 3.11 ± 0.26 mmol, with a percent relative uncertainty of 8.3%.

Learn more about absolute uncertainty here:

brainly.com/question/1301718

#SPJ11

Answer:

false. very simple hope it helps

The shape of the graph changes qualitatively at k = ± 2 and

\(k=\sqrt{(2)\).

The given function is f(x,y) = y-x²+y²+kxy.

The critical points of the function are found by taking the partial derivatives and equating them to zero:

∂f/∂x = -2x + ky = 0

y = 2x/k

∂f/∂y = 2y + kx = 0

y = -kx/2

Substituting y from the first equation into the second equation gives

x = k²x/4, so k² = 4 and k = ± 2.

Therefore, the critical points are (0,0), (2,4), and (-2,4)

We will now examine the critical points to see when the shape of the graph changes qualitatively.

There are two cases to consider:

Case 1: (0,0)At (0,0), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2 0;0 2].

The determinant of the Hessian matrix is -4, which is negative.

Therefore, (0,0) is a saddle point and the graph changes qualitatively as k increases for all values of k.

Case 2: (±2,4)At (2,4) and (-2,4), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2k 2k;2k 2].

The determinant of the Hessian matrix is 4k²+8, which is positive when k is greater than √(2).

Therefore, the critical points (2,4) and (-2,4) are local minima when

k > √(2).

Thus, the shape of the graph changes qualitatively at k = ± 2 and

k = √(2).

To know more about critical points, visit:

https://brainly.com/question/33412909

#SPJ11

Answer:

Step-by-step explanation:

he height of the storage unit is equal to twice its radius (since the diameter is twice the radius), so the height is 2 x 8 = 16 feet.

The storage unit is in the shape of a cylinder, so we can use the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height:

V = π(8^2)(16)

V = π(64)(16)

V = 3,218.69 cubic feet (rounded to two decimal places)

Therefore, the volume of the storage unit is approximately 3,218.69 cubic feet.

3x-3 Perimeter= 16x + 6 equals 3x - 2.5 = W The following is an equation for calculating the perimeter of a rectangle: perimeter = length plus length plus width plus width P = l + l + w + w.

Therefore,

3x-3 Perimeter= 16x + 6

perimeter = 2L + 2W

16x - 6 = 2(3x-3) + 2W

16x - 6 = 5x + 6 + 2W

6x - 5 = 2W

3x - 2.5 = W

3x-3 Perimeter= 16x + 6 is 3x - 2.5 = W.

To learn more about perimeter, refer to:

https://brainly.com/question/19819849

#SPJ1

The vertical asymptotes for the given function are x = 4 and x = -4.`Therefore, Student A is correct in their approach and final answer.

Given the rational function is `f(x) = (x + 3) / (x² - 16)`.To find the vertical asymptote for the given rational function `f(x) = (x + 3) / (x² - 16)` for four students and to identify who is correct in their approach and final answer, first, we have to find the vertical asymptote of the given function. We know that the vertical asymptotes occur at the zeroes of the denominator when the numerator is not zero. Thus, the denominator must equal zero at `x = -4` and `x = 4`. So, the vertical asymptotes occur at `x = -4` and `x = 4`.Hence, the correct approach and final answer for vertical asymptote of the given rational function is Student A.  Student A: `The vertical asymptotes are the vertical lines that indicate where the function becomes unbounded. These lines occur when the denominator of the rational function is zero and the numerator is not zero.

To know more about asymptotes:

https://brainly.com/question/32038756

#SPJ11

The question asks for four students determined the vertical asymptote for this rational function. The correct approach and answer is needed.

Therefore, the correct student's answer is (D) which indicates there are three vertical asymptotes at x = –2,

x = 1, and

x = 4.

Let's find the answer to the question: To find the vertical asymptote of the rational function, we need to find out when the denominator is equal to zero. We can factor the denominator, so we have (x + 2) (x – 1) (x – 4). The denominator will be equal to zero when any of the three factors are equal to zero:

(x + 2) = 0

(x – 1) = 0,

or (x – 4) = 0.

Solving each equation, we find the following values for x:

x = –2,

x = 1,

and x = 4

Therefore, the correct student's answer is (D) which indicates there are three vertical asymptotes at x = –2,

x = 1, and

x = 4.

To know more about asymptote visit

https://brainly.com/question/20339327

#SPJ11

Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  2t + 2h = 174

               h  = 17

Therefore, she made 17 three point shots.

Using Counting principle,

The black center square contains total 330 small squares.

We start with lowest one i.e 1 × 1

Let’s consider any one face out of six faces of cube ,

as one face of grid or cube is made up of 25 small squares.

If we are facing difficulty in visualising then

simply we draw a 5× 5 board on paper, just as seen in above picture :

and now check 2× 2 squares.

By using R1, R2 and all columns we shall be able to draw 4 such blocks.

Again, R2,R3 and R3, R4 and R4,R5 we can easily draw 4 squares each cash .

Thus, total square count of 2× 2 squares will be

= 16

similarly, we do it for 3× 3 and 4×4 and we will get 9 & 4 respectively.

For final one 5× 5 there is one big square

So, total squares for one face will be

= 25+16+9+4+1=55

Since, there are 6 such faces for a cube then

=>55× 6= 330

Hence, total squares contain the black center square is 330.

To learn more about Counting principle , refer:

https://brainly.com/question/16858325

#SPJ4

A one-way ANOVA is a statistical test used to compare the means of four populations in this case. Thus, the degrees of freedom for the F-statistic in this one-way ANOVA are (df1, df2) \(= (3, 78)\).

The degrees of freedom are essential for calculating the F-statistic, which helps determine whether there are significant differences among the population means.

To calculate the degrees of freedom for the F-statistic, we need to determine the numerator degrees of freedom (df1) and the denominator degrees of freedom (df2). For df1 (numerator degrees of freedom), it is equal to the number of populations (groups) minus 1.

In this case, there are four populations,

So: df1 \(= 4 - 1 = 3\)

For df2 (denominator degrees of freedom), it is equal to the total sample size (N) minus the number of populations (groups).

The total sample size is given as \(18 + 22 + 20 + 22 = 82\).

So: df2 \(= 82 - 4 = 78\)

Learn more about degrees of freedom:

https://brainly.com/question/30946029

#SPJ11

The answer to the following listed algebra questions are below:

6 = a/4 + 2

substract 2 from both sides

6 - 2 = a/4

4 = a/4

cross product

4 × 4 = a

a = 16

-6 + x/4 = -5

x/4 = -5 + 6

x/4 = 1

x = 4 × 1

x = 4

9x - 7 = -7

Add 7 to both sides

9x = -7 + 7

9x = 0

x = 0/9

0 = 4 + n/5

0 - 4 = n/5

-4 = n/5

-4 × 5 = n

-20 = n

-4 = r/20 - 5

-4 + 5 = r/20

1 = r/20

1 × 20 = r

r = 20

-1 = (5+x) / 6

-1 × 6 = (5 + x)

-6 = 5 + x

-6 - 5 = x

x = -11

(v+9)/3 = 8

v + 9 = 8 × 3

v +9 = 24

v = 24 - 9

v = 15

2(n + 5) = -2

2n + 10 = -2

2n = -2 - 10

2n = -12

n = -12/2

n = -6

-9x + 1 = -80

-9x = -80 - 1

-9x = -81

x = -81/-9

x = 9

-6 = n/2 - 10

-6 + 10 = n/2

4 = n/2

4 × 2 = n

n = 8

-2 = 2 + v/4

-2 - 2 = v/4

-4 = v/4

-4 × 4 = v

-16 = v

144 = -12(x + 5)

144 = -12x - 60

144 + 60 = -12x

204 = -12x

x = 204 / -12

x = 17

Read more about Algebra:

https://brainly.com/question/4344214

#SPJ1

Answer:

Mean: $1.16

Median: $1.165

Mode: $1.19

Step-by-step explanation:

Order the numbers from smallest to largest:

$0.99

$1.01

$1.09

$1.14

$1.19

$1.19

$1.28

$1.39

The mean is the sum of these numbers divided by the count of the numbers.

0.99+1.01+1.09+1.14+1.19+1.19+1.28+1.39 = 9.28

There are 8 numbers.

9.28/8 = 1.16. That's your mean.

Median: That's the middle number when the numbers are lined up smallest to largest. We have 8 numbers so there's no single middle number. So we take the 2 numbers in the middle and average them (aka add them and divide by 2).

$0.99

$1.01

$1.09

$1.14 - - THESE are our 2 middle numbers.

$1.19

$1.19

$1.28

$1.39

So $1.14 + $1.19 = $2.33. Divide that by 2 = =1.165. That's your median.

The mode is the number that occurs the most times. (Sometimes there are multiple modes and sometimes there aren't any.)

So $1.19 is in there 2x. No other number repeats. That's the mode.

The probability that a randomly selected finishing time is greater than 87 seconds is 14.08%. This can be calculated using the empirical rule.

The empirical rule states that for any data that is normally distributed, about 68% of the data will fall within one standard deviation of the mean (in this case, within 69 ± 6 seconds). Approximately 95% of the data will fall within two standard deviations (in this case, within 69 ± 12 seconds), and about 99.7% of the data will fall within three standard deviations (in this case, within 69 ± 18 seconds).Given the mean and standard deviation given, we can calculate the probability that a randomly selected finishing time is greater than 87 seconds.

We can do this by subtracting the area under the curve from the mean to the value we are interested in (in this case, 87 seconds). Since the total area under the curve is 1, subtracting the area from the mean to 87 seconds will give us the desired probability.To calculate the area under the curve, we need to calculate the Z-score, which is the number of standard deviations away from the mean a particular value is. In this case, the Z-score is (87 - 69) / 6, which is 2.16. Using a Z-table, the probability of a Z-score of 2.16 or higher is 0.8592. Therefore, the probability that a randomly selected finishing time is greater than 87 seconds is 1 - 0.8592, which is 0.1408. Rounding to two decimal places, this is 14.08%.

Read more about probability at

https://brainly.com/question/29351756

#SPJ11

The missing weight is 8.8 (option d).

The missing weight in the list of weights of newborn babies can be determined by finding the median weight. The median weight is the middle value when the weights are arranged in ascending order.

Given that the median weight is 8.6, we can compare it with the given weights to find the missing weight.

Comparing 8.6 with the given weights, we see that 8.6 is greater than 8.1 and 8.4, but less than 8.8 and 8.9.

Therefore, the missing weight is 8.8 (option d).

Learn more about missing weight https://brainly.com/question/33954597

#SPJ11

Answer:

\(y=2x+11\)

Step-by-step explanation:

\(m=\frac{3-(-1)}{-4-(-6)}=2 \\ \\ y+1=2(x+6) \\ \\ y+1=2x+12 \\ \\ y=2x+11\)

For the given expression 3.35x + 115 = 3.25x + 125 the value of x is 100.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

The given expression is:

3.35x + 115 = 3.25x + 125

Regroup all the terms with variable x on one side of the equation:

3.35x - 3.25x = 125 - 115

0.1x = 10

x = 100

Hence, for the given expression 3.35x + 115 = 3.25x + 125 the value of x is 100.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

Answer:63.96

Step-by-step explanation:

Answer:

6 3/100

Step-by-step explanation:

brainliest pls

Answer:

288

Step-by-step explanation:

72 + 288 = 360

360/5=72

Answer:

90

Step-by-step explanation:

you divide it into two rectangles

7*5=35

5*11=55

55+35=90

90!!!

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that parallel line must have the same slope

First we change the given equation to slope intercept form      y =mx +b

From 3x+y=5 ( we need to find the new y intercept using the given x and y values of (2,3)

find for y by subtracting 3x from both sides of the equation

-3x

we get :  y = -3x +5

Use the x and y values given (2,3) and substitute in the equation above

y = -3x + b

3 = -3(2) + b

3 = -6 + b

b = 6 = 3

b = 9

The new equation that's parallel to the given equation would be

y = -3x + 9

Answer:

The answer is 7 (A)

Step-by-step explanation:

Answer:

D. The length is the same as line MN.

Step-by-step explanation:

Even if the line is moved any one bit, the length of the line will not change. So as a result, A, B & C are already out. That leaves D as our answer.

Answer:

A

Step-by-step explanation:

I don't think you have the right equation down, so this more of an educated guess than an actual direct answer

Exponential growth represents a rapid increase, while exponential decay represents a rapid decrease, in a quantity over time. Both phenomena involve an accelerating rate of change and can be illustrated using a J-shaped curve on a graph.

Exponential growth and exponential decay are terms used to describe the rapid increase or decrease in a quantity over time.
Exponential growth occurs when a quantity increases at an accelerating rate. This means that the rate of increase itself increases over time. For example, if you have a population of bacteria, and each bacterium divides into two every hour, the population will double every hour. This exponential growth can lead to large numbers very quickly.
Exponential decay, on the other hand, describes a rapid decrease in a quantity over time. Similar to exponential growth, the rate of decrease accelerates over time. For instance, radioactive decay is a process where the number of radioactive atoms decreases over time. The decay rate is constant, but the actual number of atoms decreases exponentially.
In both cases, exponential growth and decay have a characteristic "J-shaped" curve when plotted on a graph. Initially, the change may seem slow, but it quickly becomes more pronounced as time goes on.
It's important to note that exponential growth and decay are not sustainable in the long term. Eventually, a limiting factor will come into play, causing the growth to slow down or the decay to level off. This can occur due to resource limitations, environmental constraints, or other factors.

Learn more about: Exponential growth

https://brainly.com/question/1596693

#SPJ11

Answer: one, sorry wrong person

Step-by-step explanation:

The answer is that the Monte Carlo analysis simulates a model’s outcome many times to provide a statistical distribution of the calculated results.

Now, what is  Monte Carlo analysis technique?

Monte Carlo Analysis is a risk management technique used to conduct a quantitative analysis of risks.

This mathematical technique is used to analyze the impact of risks on your project — in other words, if this risk occurs, how will it affect the schedule or the cost of the project?

So, Monte Carlo Analysis gives you a range of possible outcomes and probabilities to allow you to consider the likelihood of different scenarios.

For example, let’s say you don’t know how long your project will take. You have a rough estimate of the duration of each project task. Using this, you develop a best-case scenario (optimistic) and worst-case scenario (pessimistic) duration for each task.

You can then use Monte Carlo to analyze all the potential combinations and give you probabilities of when the project will complete.

Other major benefits of this technique is -

1. It Provides early indication of how likely you are to meet project targets.

2. Can be used to create a more real budget and schedule.

3. Predicts the likelihood of schedule .

4. Gives quantitative measure of risks to assess impacts

5. Provides objective data for decision making.

To learn more about monte carlo analysis, visit link - brainly.com/question/15350591

#SPJ4

Answer:

The cost of homes per square foot differs in different part of the United states. The cost of homes per square foot is gotten by using the formula:

cost of homes per square foot = Cost of apartment / area of apartment

1) Cost of apartment = $540000, area of apartment = 450 ft²

cost of homes per square foot = Cost of apartment / area of apartment = $540000/ 450 ft² = $1200 / ft²

2) cost of homes per square foot = $110/ ft²,  area of apartment = 2100 ft²

cost of homes per square foot = Cost of apartment / area of apartment

$110 / ft² = Cost of apartment / 2100 ft²

Cost of apartment = $110 / ft² × 2100 ft² = $231000

Step-by-step explanation:

Hope this helps plz mark brainiest  

The other person that answered this never got their brainliest bc there was only one answer so now you can give them a brainliest plz do.