Please describe a "real life" example of each term (one sentence in length will suffice).
1. Experimental Study
2. Observational Study
3. Treatment
4. Placebo
5. Nominal Level of Measurement
6. Ordinal Level of Measurement
7. Interval Level of Measurement
8. Ratio Level of Measurement
9. Systematic Sampling
10. Convenience Sampling
11. Stratified Sampling
12. Cluster Sampling
13. Quantitative Data
14. Qualitative Data
15. Discrete Data
16. Continuous Data

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

Answer:

32.5

Step-by-step explanation:

For triangles you need to do base times height divided by 2

Answer:

Number 2: 32.5 square feet

Step-by-step explanation:

The formula for the area of a triangle is 1/2(base)(height)

In this case, our base is 13 ft and our height is 5 ft so we plug in those values into our formula

A = 1/2(13)(5) = 32.5

Therefore our area is 32.5 square feet.

9514 1404 393

Answer:

  7/36

Step-by-step explanation:

It can be helpful to make a chart similar to the attached that lists all 36 possible outcomes from the roll of two dice.

You can see there are 4 ways to roll a sum of 5. There are 2 ways to roll a sum of 11, and 1 way to roll a sum of 12.

Getting a sum of 5, 11, or 12 on a roll of 2 dice can be achieved 4+2+1=7 of the 36 ways the dice can fall.

  P(5, 11, or 12) = 7/36

Answer:

(3+4)+5=12

Step-by-step explanation:

(3 + 4 ) = 7

7 + 5 =

12

Step-by-step explanation:

The coordinates and vertices

which reflected over the y- axis are

r(-2,0) , s(2,-3) , and t(2,3).

Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

Answer:

\(\huge\boxed{\sf FG = 20.3 }\)

Step-by-step explanation:

If two secants are drawn from a point outside the circle, then the formula used for it will be:

(FG + GH) × GH = (JI + IH) × IH

Given that IH = 29, JI = 23 and GH = 30

(FG + 30) × 30 = (23 + 29) × 29

(FG + 30) × 30 = 52 × 29

(FG + 30) × 30 = 1508

Divide both sides by 30

FG + 30 = 1508 / 30

FG + 30 = 50.3

Subtract 30 to both sides

FG = 50.3 - 30

FG = 20.3

\(\rule[225]{225}{2}\)

Hope this helped!

The required composite value f(g(-8) is 28

A composite function is a function inside another function. Given the following functions

f(x) = x² - 3x - 12

g(x) = -x - 12

Required composite function is f(g(-8))

First we need to get f(g(x))

f(g(x)) = f(-x-12)

f(-x-12) =  (-x-12)² - 3x - 12

Expand

f(-x-12) = x² +24x + 144 - 3x - 12

f(-x-12) = x² +21x + 132

f(g(x)) = x² +21x + 132

Substitute x = -8 into the result

f(g(-8)) = (-8)² +21(-8) + 132

f(g(-8)) = 64 - 168 + 132

f(g(-8)) = 28

Hence the required composite value f(g(-8) is 28

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Answer:

-5

Step-by-step explanation:

The total volume of the crayon is 4,650.2 mm³.

The total surface area of the crayon is 2,300.33 mm².

The volume and surface area of one crayon is calculated by applying the following formula as follows;

The volume of the cylinder is calculated as;

V = πr²h

where;

V = π x (4.25)² x (80)

V = 4539.6 mm³

The volume of the cone is calculated as;

V = ¹/₃ πr²h

V = ¹/₃ π(6.5/2)² x (10)

V = 110.6 mm³

Total volume of the crayon = 4539.6 mm³ + 110.6 mm³  = 4,650.2 mm³

The surface area of the cylindrical part of the crayon is calculated as;

S.A = 2πrh + πr²

S.A = 2π(4.25)(80) + π(4.25)²

S.A = 2,193.03 mm²

The surface area of the cone part of the crayon is calculated as;

S.A = πrs

where;

s = √ (10² + 3.25²)

s = 10.51 mm

S.A = π x 3.25 mm  x  10.51 mm

S.A = 107.3 mm²

The total surface area of the crayon = 107.3 mm² +  2,193.03 mm² = 2,300.33 mm²

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Answer:

y=(3/5)x+1

Step-by-step explanation:

Slope-intercept form of a line is as follows

y=mx+c, where m is the slope of the line and c is the y intercept.

Hence the equation of the line is y=(3/5)x+1

Gregor scored 65 points on the Stats exam.

We can use the formula for calculating z-score:

z = (x - μ) / σ

Where

We are given that the population mean (μ) is 75 and the population standard deviation (σ) is 5.

We are also given that Gregor's z-score (z) is -2.

We can plug these values into the formula and solve for x:

-2 = (x - 75) / 5

Multiplying both sides by 5, we get:

-10 = x - 75

Adding 75 to both sides, we get:

x = 65

Hence, the score is 65 points

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The volume of the oblique cylinder that has the given dimension is: 5,338 cm³.

Volume = πr²h, where h is the height and r is the radius of the oblique cylinder.

Given the following:

Volume of oblique cylinder = πr²h = (3.14)(10²)(17)

Volume of oblique cylinder = 5,338 cm³

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Answer:

X=26

Combine multiplied terms into a single fraction to make the question more simple.

EX: 3(2x-16)/4

Answer:

x=26

Step-by-step explanation:

3/4(2x-16)=27

3/4×2(x-8)=27

3/2(x-8)=27

x-8=27×2/3

x-8=9×2

x-8=18

x=18+8

x=26

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

a

Step-by-step explanation:

the data is represented in the dot plot

Answer:

answer is 77.67

Step-by-step explanation:

explain by the x axis is 68 to y axis is 84 so the median is 77.67

The appropriate alternative hypothesis for the investigation is: Ha: proportion < 0.38

The correct option is option D)

What is null and alternate hypothesis?

Null and alternate hypothesis are hypothesis in statistical testing. A null hypothesis assumes that is no difference. where as an alternate hypothesis assumes that there is a difference. A null hypothesis is denoted by H0 and alternate hypothesis is denoted by H1.

The null hypothesis is the proportion of people in Region X with blood type O positive is equal to the proportion in Region W. And that proportion is 0.38

Hence by null hypothesis we have

H0: proportion = 0.38

The alternative hypothesis, denoted by Ha, is the hypothesis that we want to test against the null hypothesis.

In this case, we want to investigate whether the proportion of people in Region X with blood type O positive is less than the proportion in Region W. So, the appropriate alternative hypothesis is:

Ha: proportion < 0.38

Hence, The appropriate alternative hypothesis for the investigation is: Ha: proportion < 0.38

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Answer:

18 divided by a N value

Step-by-step explanation:

Lower quartile. The correct option is A

The lower quartile, often known as the first quartile or Q1, is a measure of central tendency that separates the bottom 25% of a data set from the rest of the data.

In this instance, five out of the 20 students received scores of 70 or lower, which equals a 25% proficiency rate.

Therefore, 70 or below is the lower quartile.

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The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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probability that there was an accident = 7.5

probability that there was an no accident when it snowed = 0.28

probability that there was an accident when it snowed  = 0.72

probability that there was an accident when it no snowed = 0.846

According to the given information,

We know that,

Probability is the ratio of number of favorable outcomes and total number of outcomes. it deals with finding out the likelihood of the occurrence of an event.

Therefore,

probability that there was an accident =  total accident / total event

                                                                = 75/100

                                                                = 7.5

probability that there was an no accident when it snowed = 21/74

                                                                                                 = 0.28

probability that there was an accident when it snowed  = 1-0.28

                                                                                             = 0.72

probability that there was an accident when it no snowed = 22/26

                                                                                                 = 0.846

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Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

Answer:

\(5 { \times 54}^{2} \)

Answer:

  a) P = 0.08s +200

  b) $488

  c) $6250

Step-by-step explanation:

Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:

  P = 0.08s +200

__

Fill in 3600 for s and do the arithmetic.

  P = 0.08×3600 +200 = 288 +200 = 488

The paycheck amount will be $488.

__

Use the equation for part (a) and solve for P = 700.

  700 = 0.08s +200

  500 = 0.08s . . . . . . subtract 200

  500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this

Sales would have to be $6250.

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

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The two students that mix the same ratio of juice to water is given as follows:

A. Luca.

D. Micah.

The ratio between two amounts a and b is given as follows:

a to b.

Which is also the division of the two amounts.

Hence the ratio of juice to water for each person is given as follows:

Hence Luca and Micah used the same ratio, meaning that options A and D are correct.

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Answer:

Step-by-step explanation:

Since the shape is a cube of side 20cm, then all the side of the cube will be 20cm since all the side of a cube are all equal.

The shortest path the ant can be take is to first travel along the diagonal of the square from point A to the other edge on the front face and then move to point B on its adjacent side on a straight line.

To get the total distance he will take, we will first calcuate the value of the diagonal distance of the square face using pythagoras theorem as shown.

hypotenuse² = opposite² + adjacent²

The opposite = adjacent = 20cm

The hypotenuse is the length of the diagonal that we need.

hyp² = 20²+20²

hyp² = 400+400

hyp² = 800

hyp = √800

hyp = 28.28 cm

The length of the diagonal is 28.28 cm.

Afterwards, the ant will move 20cm to point B from the stopping point.

Total distance will be 28.28 + 20 = 48.28 cm