What would the radius of a circle be with a diameter of 24?

(a) The interpret the p-value in context of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower.

(b) The conclusion would make if a 0.05 is rejected because the p-value (0.0016) is less than the significance level.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01.

(a) The p-value of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower, assuming that the true population mean is 12 g/dl (or higher), is only 0.0016. This suggests that the observed difference between the sample mean and the hypothesized population mean is statistically significant and unlikely to be due to chance alone.

(b) If using a significance level of 0.05, the null hypothesis (that the true population mean is 12 g/dl or higher) would be rejected because the p-value (0.0016) is less than the significance level. Therefore, it can be concluded that the sample provides evidence that the true population mean hemoglobin level is lower than 12 g/dl.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01. In this case, the evidence is even stronger, and the conclusion that the true population mean is lower than 12 g/dl would be even more robust.

Learn more about Anemia Study Results here:

https://brainly.com/question/28200198

#SPJ4

A 10 foot chain that weighs 25 pounds is suspended from a ceiling; the work required to raise the chain's lower end to the ceiling and level it with the higher end is 62.5.

The formula for work completed is W = F * d. The force acting on the block in this instance is constant, but the force's direction and the displacement it influences are variable. It could be easier to understand if you think of this as a differential equation. Therefore, the work increases by 2.5/2 for each foot the chain is lifted (y). Consequently, we can format this as follows:

work done:

dw/dy = 2.5y/2

dw = 2.5y/2 * dy

Then integrating both sides gives the equation from we get,

\(\left \{ {{10} \atop {0}} \right. 2.5 (y/2)\\2.5 * \frac{y^{2} }{4} \\\\2.5 * (\frac{10}{4} -0)\)

W = 62.5

To learn more about work done visit : brainly.com/question/26152883

#SPJ4

Answer:

Step-by-step explanation:

Step-by-step explanation:

\( \sqrt 2, \: \sqrt 2. 6 \: \& \: \sqrt 2 + 6\) are irrational and 6 is the only rational number.

A helpful wizard weaves into your game in order to make it easier to pinpoint a particular audience

Adding a helpful wizard to the game can make it easier to pinpoint a particular audience.

In a game, the inclusion of a helpful wizard character can serve multiple purposes to cater to a specific audience. Firstly, the wizard can provide guidance and assistance throughout the game, offering tips and hints to players who may be new to the genre or need extra help. This feature can make the game more accessible and enjoyable for beginners or casual players who may feel overwhelmed by complex gameplay mechanics.

Additionally, the wizard can act as a mentor or guide within the game's narrative, providing a sense of direction and purpose. This narrative element can attract players who enjoy immersive storytelling and seek a more engaging experience. By weaving a specific narrative around the wizard character, the game can target an audience that appreciates rich storytelling and character development.

Overall, incorporating a helpful wizard character adds an element of accessibility, guidance, and narrative depth to the game, making it more appealing and suitable for a specific audience. It enhances the overall gameplay experience and ensures that players can enjoy the game regardless of their skill level or familiarity with the genre.

Visit here to learn more about helpful wizard:

brainly.com/question/28825166

#SPJ11

Answer:

the answer to this question is

\(8x^{2} +2x\)

The probability that between 35% and 40% of an SRS of 400 high school seniors have vaped in the past year is 0.2643 + 0.2823 = 0.5466, or 54.66%.e) If the sample size were 900 rather than 400,

a) The mean of the sampling distribution of p is equal to the true proportion p, which is 0.37.

b) The standard deviation of the sampling distribution of p is given by:σp=√(pq/n)where p = 0.37, q = 1 - p = 0.63 and n = 400.σp = √(0.37 × 0.63/400) = 0.032 or 0.032 rounded to the nearest thousandth.

c) The curve of the sampling distribution of p is a normal distribution that is approximately symmetric with a mean of 0.37 and a standard deviation of 0.032.

d) The probability that between 35% and 40% of an SRS of 400 high school seniors have vaped in the past year can be found using the normal distribution.

We standardize the values as follows:

z1 = (0.35 - 0.37)/0.032 = -0.625z2 = (0.4 - 0.37)/0.032 = 0.781Using a standard normal distribution table or calculator,

we find the probabilities that z lies between -0.625 and 0.781 to be 0.2643 and 0.2823, respectively.

the curve of the sampling distribution of p would be narrower and more peaked since the standard deviation of the sampling distribution is inversely proportional to the square root of the sample size. The mean of the sampling distribution would remain the same at 0.37.

To learn more about : probability

https://brainly.com/question/251701

#SPJ8

The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

Learn more about index here :-

https://brainly.com/question/32793068

#SPJ11

There are three possible partitions on the set {1, 2, 3}: Partition 1: { {1}, {2}, {3} } This partition corresponds to the equivalence relation R1 from the previous problem. Partition 2: { {1, 2}, {3} } This partition corresponds to the equivalence relation R2 from the previous problem. Partition 3: { {1, 3}, {2} } This partition corresponds to the equivalence relation R3 from the previous problem.
A partition of a set is a collection of disjoint subsets of the set that together cover the entire set. In other words, each element of the set belongs to exactly one of the subsets. For the set {1, 2, 3}, there are five partitions:
- P1 = {{1}, {2}, {3}}
- P2 = {{1, 2}, {3}}
- P3 = {{1, 3}, {2}}
- P4 = {{2, 3}, {1}}
- P5 = {{1, 2, 3}}
Each of these partitions corresponds to a different equivalence relation on the set {1, 2, 3}.

For example, the partition P1 corresponds to the equivalence relation R1 = {(1, 1), (2, 2), (3, 3)}, which is the identity relation. The partition P2 corresponds to the equivalence relation R2 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}, which relates 1 and 2 to each other but not to 3. The partition P3 corresponds to the equivalence relation R3 = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}, which relates 1 and 3 to each other but not to 2. The partition P4 corresponds to the equivalence relation R4 = {(1, 1), (2, 2), (3, 3), (2, 3), (3, 2)}, which relates 2 and 3 to each other but not to 1.

Finally, the partition P5 corresponds to the equivalence relation R5 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (1, 3), (3, 1), (2, 3), (3, 2)}, which relates all of the elements to each other.

You can learn more about the partition of the set at: brainly.com/question/30249529

#SPJ11

The value of the third expression \(\rm \dfrac{45}{n} + 7\) for n = 5 is 16 which is equivalent to 16.

The equivalent is the functions that are in different forms but are equal to the same value.

Given

The expressions are shown below.

\(\rm 1. \ \dfrac{25}{n} + 7\\\\2. \ 30 -3n\\\\3. \ 7+ \dfrac{45}{n}\\\\4. \ n^3 - 114\)

The expression is equivalent to 16 for n = 5.

1. For n = 5, the expression will be

\(\rm \dfrac{25}{n} + 7\\\\ \dfrac{25}{5} + 7\\\\5 + 7 \\12\)

The expression is not equivalent to 16.

2. For n = 5, the expression will be

\(\rm 30 - 3n\\30 - 3 * 5 \\30 - 15\\15\)

The expression is not equivalent to 16.

3. For n = 5, the expression will be

\(\rm \dfrac{45}{n} + 7\\\\ \dfrac{45}{5} + 7\\\\9 + 7 \\16\)

The expression is equivalent to 16.

4. For n = 5, the expression will be

\(\rm n^3 - 114 \\\\5^3 - 114 \\\\125 -114\\\\11\)

The expression is not equivalent to 16.

Thus, the third expression is equivalent to the 16.

More about the equivalent link is given below.

https://brainly.com/question/10498970

Answer:

The answer is C, \(7+\frac{45}{n}\)

Step-by-step explanation:

1. if n=5 then the expression would be rewritten as  \(7 + \frac{45}{5}\)

2. 45 divide 5 is 9.

About 2.5% of the scores lie in the shaded region.

Unfortunately, there is no image provided for the normal distribution. However, I can provide a general explanation of how to use the empirical rule to answer this question.

The empirical rule states that for a normal distribution:

- approximately 68% of the scores fall within one standard deviation of the mean

- approximately 95% of the scores fall within two standard deviations of the mean

- approximately 99.7% of the scores fall within three standard deviations of the mean

Assuming the shaded region is between two points that are two standard deviations away from the mean, we can use the empirical rule to estimate the percentage of scores that fall within that region.

Since two standard deviations on each side of the mean covers approximately 95% of the scores, the shaded region would represent approximately (100% - 95%) / 2 = 2.5% of the scores. Therefore, about 2.5% of the scores lie in the shaded region.

Learn more about :

empirical rule : brainly.com/question/30404590

#SPJ11

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

To learn more about substituting visit:

https://brainly.com/question/10423146

#SPJ11

Answer:

16,8,36 respectivly

Step-by-step explanation:

Answer:

24 m^2

Step-by-step explanation:

To find the area of the cement, we subtract the area of the grass from the total area of the grass and cement.

Therefore, the answer is 24 m^2.

Step-by-step explanation:

area of the whole backyard(6 mltiplied by 5=30)_area of grass(2 multiplied by 3 =6)

30_6=24

the answer is 24 square meters

Answer:

-25.00% decrease, quite a deal

Answer:

Step-by-step explanation:

$28 = 100%

$7 = 25%

$21 = 75%

so, therefore

% change = 100% - 75%

= 25%

Answer:

Step-by-step explanation:

If they are parallel, that means the slope is the same. We can then use the slope point form: y - y1 = 1/2(x - x1) which is the form in the question as well.

Given that there is a point at (4,2), the equation of the line is then

y - 2 = 1/2(x-4)

Answer:

\(y=\frac{1}{2} x\)

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

\(y-y_{1} =m(x-x_{1} )\)

to find the line parallel to

\(y-4=\frac{1}{2} (x+3)\).

The combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.

According to the question,

We have the following information:

A sandwich hop serve 4 ounce of meat and 3 ounce of cheese on each sandwich. After making sandwiches for an hour the hop owner has used 91 combined ounce of meat and cheese.

Combined ounces for 1 sandwich:

Ounces of meat + ounces of cheese

4+3

7 ounces

It is given that in an hour 91 ounces of combined cheese and meat are used.

Now, we have:

Number of sandwiches made in 1 hour = 91/7

Number of sandwiches = 13

Ounces of meat used in 13 sandwiches can be found using multiplication as follows:

13*4

Ounces of meat used in 13 sandwiches = 52 ounces

Ounces of cheese used in 13 sandwiches can found using multiplication as follows:

13*3

Ounces of cheese used in 13 sandwiches = 39 ounces

Hence, the combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.

complete question is

A andwich hop erve 4 ounce of meat and 3 ounce of cheee on each andwich. After making andwiche for an hour, the hop owner ha ued 91 combined ounce of meat and cheee. How many combined ounce of meat and cheee are ued on each (1) andwich?

To know more about combined ounces here

brainly.com/question/17055514

#SPJ4

Answer:

I=2.5 hours

Step-by-step explanation:

We can use the proportion 170 mi/2.5 hr=425 mi/I hr

Thus, we get 170I=(425*2.5).

Solving for I gives us 6.25 hours

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

Learn more about Difference of Two Expressions on:

https://brainly.com/question/28986379

#SPJ1

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

Learn more about range here: https://brainly.com/question/30339388

#SPJ11

The given case of Gallup asking the same 50 people how many hours had they worked at a job in the past 7 days. is an example of dependent sample.

The measured values in relation in a dependent sample (also called a paired sample).

Some characteristics of dependent sample are-

To know more about dependent sample, here

https://brainly.com/question/20349318

#SPJ4

Answer:

8 seeds

Step-by-step explanation:

16 = 32

4 = ?

16 ÷4 = 4

32 ÷ 4 = 8

Answer:16%

Step-by-step explanation:

Answer:

205 square ft

Step-by-step explanation:

1. Since his room is 12ft by 15.75ft, we can multiply to find the square ft needed to cover his room.

2. Since his closet is 2ft by 8ft, we can multiply to find the square ft needed to cover his closet.

3. Then, we add them to find how much carpeting is needed total.

4. (12*15.75)+(2*8)=189+16=205

The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

Learn more about Chi-Square

https://brainly.com/question/32595988

#SPJ11

The total distance travelled by the ball after dropping from a height of 16 feet and rebounds 0.81 feet is equal to 168.4 feet.

Balls from a height = 16 feet

Rebounds = 0.81feet

It form a geometric progression pattern :

16 + 16(0.81) + 16(0.81)² + 16(0.81)³ + ......+ ∞

Using sum of geometric progression :

S = a / 1 - r

here a = 16

r = 0.81

S represents the sum .

The total distance travelled by the ball is double of the sum .

S = 16 / ( 1 - 0.81 )

  = 16 / ( 0.19)

  = 84.2 feet

Total distance travelled by the ball  = 2 × 84.2 feet

                                                           = 168.4 feet

Therefore, the total distance travelled by the ball as per given situation is equal to 168.4 feet.

The above question is incomplete, the complete question is:

A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance traveled by the ball .

Learn more about distance here

brainly.com/question/15172156

#SPJ4

Answer:

Your answer is

XY= 7

Hope that this is helpful. Tap the crown button, Like & Follow me

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

Know more about equation here:

https://brainly.com/question/29657983

#SPJ11