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We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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Answer:

The answer would be y=3x-7

Answer:

y=3x+-7

Step-by-step explanation:

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The density of the gold sample is 19.3g/cm³

Let the mass of the gold sample be represented by m

m = 579 g

Let the volume of the gold sample be represented by V

V = 30 cm³

Let the density of the gold sample be represented by ρ

The formula for the density is:

\(Density = \frac{Mass}{Volume}\)

\(\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3\)

The density of the gold sample is 19.3g/cm³

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The study is a randomized controlled trial (RCT) study.

In an RCT study, participants are randomly assigned to either the treatment group or the control group. The treatment group receives the intervention (in this case, one of the two surgery procedures) being studied, while the control group does not receive the intervention.

The participants are then followed to observe the outcome of interest (in this case, the hours to recovery after surgery).

The goal of an RCT study is to determine if the intervention has an effect on the outcome. By randomly assigning participants to the treatment and control groups, any observed differences in the outcome between the two groups can be attributed to the intervention.

This helps to control for other factors that may influence the outcome and reduces the risk of bias in the results.

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We can conclude that (B) the data from Germany has a negative correlation because the slope of the regression equation is negative.

So, according to the given image, we can easily say that Germany has a negative correlation.

We can observe that the slope of the regression equation is negative.

Therefore, we can conclude that (B) the data from Germany has a negative correlation because the slope of the regression equation is negative.

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Answer:

C I think hope you help this my answer

Answer:

15

Step-by-step explanation:

no explanation

The given equation is

First, we add 4 on each side.

Then, we multiply 10 on each side.

The measure of the angle x is 32 degree after applying the sin law of triangle.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle given in the diagram.

To find the measure of the angle x we must apply the sin law of triangle.

\(\rm \dfrac{17}{sin116} = \dfrac{10}{sinx}\)

Sinx = 10(sin116)/17

Sinx = 0.528

x = 31.91 ≈ 32 degree

Thus, the measure of the angle x is 32 degree after applying the sin law of triangle.

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Answer:

the domains are x axis or intercepts and range is y axis or intercepts

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Answer:

7/12

Step-by-step explanation:

add up all of the buttons

30+40+50=120

add up all of the blue and red buttons

30+40=70

then divide the added values

70/120

simplify

7/12

Answer:

7/12

Step-by-step explanation:

It will be seven 7 by 12

Answer: 30%

Step-by-step explanation:

There are 200 songs in total.

Out of these 200, there are 60 Rock songs.

The percentage of Rock is therefore:

= Rock / Total songs * 100%

= 60/200 * 100%

= 30%

The feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.

Subtraction is the resultant number which is obtained by reducing a number with another. Let a number a is subtracted with the another number b. Then the subtraction of these two number will be,

\(D=a- b\)

Here, (a, b) are the real numbers.

Rosa has 15 yards of ribbon. She uses 8 feet of ribbon to tie gift bags. Let suppose she has left n feet of ribbon. Thus,

\(n=15-8\\n=7\)

Thus, the feet of ribbon Rosa left when she has 15 yards of ribbon and used 8 feet of ribbon to tie gift bags, is 7 feet.

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Answer: Rosa has 5 feet left of her ribbon

Step-by-step explanation:

Sally needs a score of 89 in her fourth game to achieve an average of exactly 91 after four games.

To determine the score Sally needs in her fourth game to achieve an average of 91, we can calculate the total score she should have after four games and subtract her current total score.

First, we need to find the sum of Sally's scores in the first three games: 108 + 72 + 95 = 275.

To calculate the average score, we divide the total score by the number of games played. In this case, Sally has played three games, so her current average is 275 / 3 = 91.67 (rounded to two decimal places).

To find the score Sally needs in her fourth game to have an average of exactly 91, we can set up the following equation:

(275 + X) / 4 = 91, where X represents the score Sally needs in her fourth game.

Simplifying the equation, we have:

275 + X = 91 * 4

275 + X = 364

X = 364 - 275

X = 89

Therefore, Sally needs a score of 89 in her fourth game to achieve an average of exactly 91 after four games.

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The correct answers are:

12) B) Yes

To use the factor theorem to determine whether the second polynomial is a factor of the first, we need to check if the second polynomial is a root of the first polynomial.

Let's go through each scenario:

4x^2 - 25x + 34; x - 2

To check if x - 2 is a factor, we substitute x = 2 into the first polynomial:

4(2)^2 - 25(2) + 34 = 4(4) - 50 + 34 = 16 - 50 + 34 = 0

Since the result is 0, x - 2 is a factor of 4x^2 - 25x + 34. Therefore, the answer is B) Yes.

5x^4 + 19x^3 - 4x^2 + x + 4; x + 4

To check if x + 4 is a factor, we substitute x = -4 into the first polynomial:

5(-4)^4 + 19(-4)^3 - 4(-4)^2 + (-4) + 4 = 5(256) - 19(64) - 4(16) - 4 + 4 = 1280 - 1216 - 64 = 0

Since the result is 0, x + 4 is a factor of 5x^4 + 19x^3 - 4x^2 + x + 4. Therefore, the answer is B) Yes.

5x^4 + 21x^3 - 4x^2 + x + 4; x + 4

To check if x + 4 is a factor, we substitute x = -4 into the first polynomial:

5(-4)^4 + 21(-4)^3 - 4(-4)^2 + (-4) + 4 = 5(256) - 21(64) - 4(16) - 4 + 4 = 1280 - 1344 - 64 = -128

Since the result is not 0, x + 4 is not a factor of 5x^4 + 21x^3 - 4x^2 + x + 4. Therefore, the answer is B) No.

So, the correct answers are:

12) B) Yes

B) Yes

B) No

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Answer:

-3/4x8+2

Step-by-step explanation:

-6+2=-4

The risk in the unexposed group over 21 years of follow-up is approximately 0.2562%.None of the provided options match the calculated value exactly.

To calculate the risk in the unexposed group, we need to divide the number of cases by the total person-years of follow-up.

Given information:

Unexposed group:

Individuals (n1): 18,842

Person-years (PY1): 351,551

Cases of smoking cessation (C1): 9

Risk in the unexposed group is calculated as:

Risk1 = (C1 / PY1) * 100%

Risk1 = (9 / 351,551) * 100%

Calculating the risk:

Risk1 ≈ 0.0025621 * 100%

Risk1 ≈ 0.2562%

Therefore, the risk in the unexposed group over 21 years of follow-up is approximately 0.2562%.

None of the provided options match the calculated value exactly.

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Answer:2 hours and 45 minutes

Step-by-step explanation:

11:30+30 mins =12+15 mins = 12:15 + 2 hours = 2:15

We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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The image of the patient is located approximately 28.9 cm from the convex mirror.

To locate the image of a patient using a convex spherical mirror, we can use the mirror equation.

Equation:

1/f = 1/do + 1/di

where:

f is the focal length of the mirror,

do is the object distance (distance of the patient from the mirror), and

di is the image distance (distance of the image from the mirror).

Given:

The magnitude of the mirror's radius of curvature:

0.562 m (since it's a convex mirror, the radius of curvature is positive).

The object distance (distance of the patient from the mirror): do = 10.2 m.

To solve for the image distance, we need to find the focal length.

For a convex mirror, the focal length is half the magnitude of the radius of curvature, so f = 0.562 m / 2

= 0.281 m.

Now we can substitute the values into the mirror equation:

1/f = 1/do + 1/di

1/0.281 = 1/10.2 + 1/di

Simplifying the equation:

3.559 = 0.098 + 1/di

Subtracting 0.098 from both sides:

3.461 = 1/di

To find the image distance, we take the reciprocal:

di = 1/3.461

= 0.289 m

The image of the patient is located at a distance of 0.289 m from the mirror. Since the image distance is positive, it indicates that the image formed by the convex mirror is a virtual image.

Converting the image distance to centimeters, we have:

di = 0.289 m × 100 cm/m

= 28.9 cm

Therefore, the image of the patient is located approximately 28.9 cm from the convex mirror.

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Answer:

7 years old

Step-by-step explanation:

36=3x+15

x=21/3=7

Answer:

X = 7

Step-by-step explanation:

nephew ---- x

Kim ------ 3x + 15

3x+15 = 36

3x = 36-15

3x = 21

x = 7

The statement "The functional dependency noted as A->B means that the value of A can be determined from the value of B" is false. In the context of databases and relational schema, functional dependencies are used to express constraints between attributes in a relation.  

False. The functional dependency noted as A->B means that the value of B can be determined from the value of A. In other words, A determines the value of B, and B is functionally dependent on A. This concept is important in database design as it helps to ensure that the data is organized in a logical and efficient manner.

By identifying functional dependencies, we can minimize data redundancy and ensure that the data is consistent and accurate. It also helps in the normalization process, which is a technique used to reduce data redundancy and ensure data integrity. Overall, understanding functional dependencies is essential for effective database design and management.

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Let

x -----> number of orange balls

y -----> number of green balls

we have that

x+y=123 -----> x=123-y ------> equation A

y=5x+9 -----> equation B

Solve the system of equations

substitute equation A in equation B

y=5(123-y)+9

solve for y

y=615-5y+9

y+5y=615+9

6y=624

y=104

Find out the value of x

x=123-104

x=19

therefore

Answer:

b because it is an expressio n

Step-by-step explanation:

A college president is interested in student satisfaction with recreational facilities on campus. A questionnaire is sent to all students and asks them to rate their satisfaction on a scale of 1 to 5.

The instrument of measurement is:

=> the questionnaire

The common types of measuring tools include speedometers, measuring tape, thermometers, compasses, digital angle gauges, levels, laser levels, macrometer, measuring squares, odometers, pressure gauges, protractors, rulers, angle locators, bubble inclinometers, and calipers.

The measuring instruments in mechanical engineering are dimensional control instruments used to measure the exact size of object. These are adjustable devices and can measure with an accuracy of 0.00 l mm or better. The gauges are fixed dimension instruments and are not graduated.

The correct option is (d).

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(a) At least 95.4% of the fish in the lake are between 5 inches and 13 inches long.(b) An interval of (4.34, 13.66) inches will contain fewer than 36% of the fish in terms of length.

(a) To find the proportion of fish between 5 inches and 13 inches long, we can use the standard normal distribution. First, we convert the values to z-scores using the formula \(z = \frac{x - \mu}{\sigma}\), where \(x\) is the length, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.
For 5 inches:
\(z_1 = \frac{5 - 9}{2} = -2\)
For 13 inches:
\(z_2 = \frac{13 - 9}{2} = 2\)
Using the standard normal distribution table or a calculator, we can find the proportion of values between -2 and 2, which is approximately 95.4%. Therefore, at least 95.4% of the fish in the lake are between 5 inches and 13 inches long.
(b) To find an interval where fewer than 36% of the fish have lengths outside the interval, we need to find the z-scores corresponding to the cumulative probabilities of 18% on each tail (36% combined).
Using the standard normal distribution table or a calculator, the z-score corresponding to 18% is approximately -0.94. So, we have:
\(z_{\text{left}} = -0.94\)
To find the z-score corresponding to the upper tail, we use the complement rule: \(1 - 0.18 = 0.82\). The z-score corresponding to 0.82 is approximately 0.92. So, we have:
\(z_{\text{right}} = 0.92\)
Now, we convert the z-scores back to length values using the formula \(x = z \cdot \sigma + \mu\). Substituting the values, we get:
\(x_{\text{left}} = -0.94 \cdot 2 + 9 \approx 4.12\) inches
\(x_{\text{right}} = 0.92 \cdot 2 + 9 \approx 13.84\) inches
Therefore, an interval of (4.12, 13.84) inches will contain fewer than 36% of the fish in terms of length.

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The maximum displacement of the mass in the undamped spring-mass system is approximately 0.02 inches, rounded to two decimal places.

To find the maximum displacement of the mass in the undamped spring-mass system, we can use the concept of impulse-momentum. First, let's convert the given weights to mass units. 17.9 lb is approximately equal to 8.13 kg, and 4.0 lb is approximately equal to 1.81 kg. The impulse J can be calculated by multiplying the force (4.0 lbs) by the time duration (0.4 seconds), which gives us J = 1.6 lb·s. The maximum displacement x can be determined using the formula x = J / (mω), where m is the mass (8.13 kg) and ω is the angular frequency (2π / T), with T being the natural period (0.4 seconds). Substituting the values into the formula, we have: x = (1.6 lb·s) / (8.13 kg * 2π / 0.4 s).

Evaluating the expression, we find: x ≈ 0.02 inches. Therefore, the maximum displacement of the mass in the undamped spring-mass system is approximately 0.02 inches, rounded to two decimal places.

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well, let's hmmm call the vertex atop "vertex" oddly enough, and let's call the side across from it "base".

cheap answer is 6 cm = y, why?

well, the angles at the "base" are twins, they both share the same "base" side, in a triangle that only occurs when twin sides stemming from the "vertex" hit the "base", so fi the angles at the base are twins, the sides that makes them from the "vertex" are also twins.

now, we can also say hmmm the angle of 25° on the right, has two sides, the "base" and the "y" side, that opening of 25° makes an opposite side that's 6 cm long.

Well, now let's go to the left angle of 25°, it has two sides, one is the "base" and another one is the 6cm one, that opening of 25° makes an opposite side of "y", whatever that "y" is, must be the same as her twin 25° on the right side, so y = 6cm.

The measure of y is equal to 6 cm

An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

Given here, two angles of a triangle are equal and thus the triangle must be an isosceles triangle therefore the opposite sides of these two angles must be equal.

Hence, the measure of y is equal to 6 cm

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Answer

2/3+5/6= is 1.5

Step-by-step explanation:

first do 2/3=0.66666666666

and 5/6=0.83333333333

then do 0.66666666666+0.83333333333=1.5

Answer:

#1: 1 1/2 and #2: 6 1/10

Step-by-step explanation:

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