A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers placed an ad online asking volunteers to participate in the study, and 100 subjects replied. They are informed that one group will receive a new cream and the other group will receive a cream with no active ingredient. The researchers believe that sun exposure may affect the cream’s effectiveness. The subjects are then asked about their outdoor activity, and 42 of the subjects state they spend more than 50% of their day outside. The 42 subjects are randomly assigned to the two treatments. The remaining 58 subjects are also randomly assigned to the two treatments. All subjects are exposed to poison ivy and given their cream. They are asked to return in three days and report their level of irritation.

Is this a randomized block design?

A.) Yes, the subjects could be randomly assigned to two different treatments.
B.) Yes, the participants are grouped by sun exposure, and then both treatments are randomly assigned within each group.
C.) No, the groups have an equal number of subjects.
D.) No, the subjects were not paired by age to determine if it affected the cream’s effectiveness.

Answer:

Centroid of ΔABC = (4,2)

Step-by-step explanation:

Explanation:-

Given points are A(0,6) , B(2,0) and C(10,0)

Centroid of ΔABC

        = [tex](\frac{x_{1}+x_{2} +x_{3} }{3} ,\frac{y_{1}+y_{2} +y_{3} }{3})[/tex]  

      =    [tex](\frac{0+2+10}{3} , \frac{6+0+0}{3} )[/tex]

     = [tex](\frac{12}{3} , \frac{6}{3} )[/tex]

     = (4 , 2)

Centroid of ΔABC = (4,2)

Money offered to Michelle per annum in Job A = $1700

Number of years she will work in job A = 5

Percentage of earnings per annum for her retirement plan = 6.60%

Money she will earn will be the simple interest at the end of 5 years.

We know that :

[tex]\color{plum}{ \tt{Simple \: interest = \frac{Principle \ \: \times \: Rate \: \: \times \: \: Time}{100} }}[/tex]

Principal = $1700

Rate = 6.60%

Time = 5 years

Which means :

[tex] = \frac{1700 \times 6.60 \times 5}{100} [/tex]

[tex] = \frac{56100}{100} [/tex]

[tex] = \color{plum}\$561[/tex]

We also know that :

[tex]\color{plum}\tt \: Amount = Principal + Interest [/tex]

Amount Michelle will earn at the end of 5 years for her retirement plan :

[tex] = 1700 + 561[/tex]

[tex] =\color{plum}\bold{\$ 2261}[/tex]

2261 can be rounded off to 2260.

Therefore, Michelle will earn $2260 at the end of 5 years for her retirement plan.

Answer:

45 marbles

Step-by-step explanation:

Answer:2.5

Step-by-step explanation:

tell me if im wrong

Answer:

A. 4 units

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

2  1/4 = 9/4

9/4 = 2.25

2.25 / 3

0.75

Answer:

yes it would be an obtuse triangle i think

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

Formula: y2 - y1/x2 - x1

1 - 4 = -3

3 - 1 = 2

Slope = -3/2

Answer:

y=5 and x= 35÷6 = 5,83

Step-by-step explanation:

we have an equilateral triangle

so it means that his three sides have the same length:

35 = 7y = 6x

- we have 35 = 7y <=> y = 35÷7 = 5

- we have 35 =6x <=> x = 35/6 = 5,83

Answer:

The corresponding set of values of the dependent set is: {-5, -7, 0}

Step-by-step explanation:

Dependent variable and independent variable:

Suppose we have a function f(x).

The independent variable is the input value of the function, that is, x.

The dependent variable is the output value of the function, that is, f(x).

The replacement set for the independent variable is (-1, -2, 1,5).

The values of the dependent set are respectively, f(-1), f(-2) and f(1.5). So

We have that: [tex]f(x) = 2x - 3[/tex]. So

[tex]f(-1) = 2(-1) - 3 = -2 -3 = -5[/tex]

[tex]f(-2) = 2(-2) - 3 = -4 -3 = -7[/tex]

[tex]f(1.5) = 2(1.5) - 3 = 3 -3 = 0[/tex]

The corresponding set of values of the dependent set is: {-5, -7, 0}

Answer:

2 Times Remainder 14

Or 2.20895522388 times

Step-by-step explanation:

67 x 2 = 134

148 - 134 = 14

It will go in two times with a remainder of 14

The line is an upside U shape from A to B

This means the graph increases, then decreases.

Answer:

90%=9/10=0.9

0.9=90%=9/10

900%=900/1000=0.9

9/10%=0.9=90%

Step-by-step explanation:

Answer:  A   9/10 or 0.9

               B    0.9 = 9/10 or 90%

               C    0.9 or 900/1000

               D    0.9 or 90%

Step-by-step explanation:

Answer:

3G-6

Step-by-step explanation:

3 with inside of the ()

Answer:

100,000

Step-by-step explanation:

Answer:

The answer is: 3,600 students enroll.

Step-by-step explanation:

1) There's 30,000 applicants to start. 40% of them are accepted, and 40% of 30,000 is 12,000 students.

2. 30% of those 12,000 students enroll, so that's 3,600 students.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

Answer:

Force      F = 60 ×10⁻⁵ N

Step-by-step explanation:

Given that mass of the given object (m)  = 30 grams

Given that the acceleration

                                 a = 2 m/s²

Force:-

The push or pull on an object with mass that causes it to change its velocity

Formula for force

The formula for force    F = m a

                                      F = 30 × 2

                                     F  = 60 gm/s²

                                   F = 60 ×10⁻⁵ N     (∵ 1 d y n = 1gm² = 10⁻⁵N

Answer:

x = 6 and y = 10

Step-by-step explanation:

If triangle ZMK is congruent to triangle APY, then;

<Z = <A

<M = <P

<K = <Y

Given the following angles

<M = 112

<Y = 41

<K = 13x - 37

<A = 2y + 7

Required

Value of x and y

Since <K = <Y, then;

13x - 37 = 41

Add 37 to both sides

13x - 37 + 37 = 41 + 37

13x = 78

x = 78/13

x = 6

Also <Z + <M + <K = 180

<Z + 112+41 = 180

<Z + 153 = 180

<Z = 180-153

<Z = 27 degrees

Since <Z = <A

27 = 2y + 7

2y = 27-7

2y = 20

y = 20/2

y = 10

Hence x = 6 and y = 10

Diameter = 4 cm

Radius = Diameter/2 = 2 cm

Area of circle :

[tex] = \pi{r}^{2} [/tex]

[tex] = 3.14 \times 2 \times 2[/tex]

[tex] = 3.14 \times 4[/tex]

[tex] = 12.56 \: {cm}^{2} [/tex]

Circumference of circle :

[tex] = 2\pi r[/tex]

[tex] = 2 \times 3.14 \times 2[/tex]

[tex] = 12.56 \: \: {cm}^{2} [/tex]

Circumference = 15 feet (given)

Radius :

[tex] = 2\pi r[/tex]

[tex] = 2 \times \frac{22}{7} \times r = 15[/tex]

[tex] = \frac{44}{7} \times r = 15[/tex]

[tex] = 44r = 15 \times 7[/tex]

[tex] = 44r = 105[/tex]

[tex] = r = \frac{105}{44} [/tex]

[tex] = r = 2.38 \: feet[/tex]

Diameter = r×2 = 2.38 × 2 = 4.76 feet

Area :

[tex] = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 2.38 \times 2.38[/tex]

[tex] = 17.78 \: {ft}^{2} [/tex]

Diameter = 2 cm (given)

Radius = D/2 = 2/2 = 1 cm

Circumference :

[tex] = 2 \pi r[/tex]

[tex] = 2 \times 3.14 \times 1[/tex]

[tex] = 6.28 \: feet[/tex]

Area :

[tex] = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 1 \times 1[/tex]

[tex] = 3.14 \: {ft}^{2} [/tex]

Radius = 4.3 mm

Diameter = r×2 = 4.3 × 2 = 8.6 mm

Circumference :

[tex] = 2\pi r[/tex]

[tex] = 2 \times 3.14 \times 4.3[/tex]

[tex] = 27 \: mm[/tex]

Area :

[tex] = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 4.3 \times 4.3[/tex]

[tex] = 3.14 \times 18.49[/tex]

[tex] = 58.05 \: {mm}^{2} [/tex]

Answer:

Step-by-step explanation:

31.32≤24.72+1.32x≤52.12

31.32−24.72≤24.72−24.72+1.32x≤52.12−24.72

6.6≤6.61.32≤1.32x≤27.41.32x1.32≤27.41.32

5≤x≤20.76

The property owner can use 5–20 hcf and still fall within the Conservation Usage billing range.

Answer:

n-5

Step-by-step explanation:

Answer:

n - 5 is the expression                                    

Answer:

A change from 250 to 620 represents a positive change (increase) of 148%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old

|Old|

× 100%

Percent change = 620 - 250

|250|

× 100% =

370

250

× 100 = 148% (increase)

Where: 250 is the old value and 620 is the new value. In this case, we have a positive change (increase) of 148 percent because the new value is greater than the old value.

Step-by-step explanation:

Answer:

It’s 850

Step-by-step explanation:

Divide the figure into 3 shapes, first one being 10ft times 5ft times 5, followed by 20 times 5 times 5 the another with 10 times 5 times 5. I got 850

Answer:

It is 875 cubic feet

Step-by-step explanation:

If you split it into three shapes:

1) Left vertical cuboid is 10x5x5 = 250

2) Middle horizontal cuboid is 15x5x5 = 375

3) Right vertical cuboid is 10x5x5 = 250

Total volume is 875 cubic feet

Answer:

it's C

Step-by-step explanation:

Answer:

2800

Step-by-step explanation:

multiply 350 by 8

Answer:2870

Step-by-step explanation: 350×8 and then 350×.2 and then add those both up and get 2870