An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to six locations, and a control was applied to the other two. How many different choices were there for the six locations to apply the new ointment

Answers

Answer 1

Answer:

There were 28 different choices for the six locations to apply the new ointment

Step-by-step explanation:

The order in which the location are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

How many different choices were there for the six locations to apply the new ointment?

Six locations from a set of 8. So

[tex]C_{8,6} = \frac{8!}{6!2!} = 28[/tex]

There were 28 different choices for the six locations to apply the new ointment


Related Questions

Help please aaaaaaaa​

Answers

Answer:

the first answer is 7 the second is 2

Step-by-step explanation:

to slove plug in a variable in the blank space.

5(a/8)<5

divide both side by 5

a/8 <1

a=7

7/8 <1

-

the same method can be used for the second 6(2/a)=6

divide by 6

2/a=1

a=2

If f(1)=6 and f(n)=f(n-1)+2 then find the value of f(6)

Answers

Answer:

Step-by-step explanation:

Answer:

f(6) = 16

Step-by-step explanation:

In the next steps we use this formula : f(n)=f(n-1)+2 

Since f(1)=6 then f(2)=f(2-1)+2 = f(1)+2 = 6+2 = 8

         f(2)=8 then f(3)=f(3-1)+2  = f(2)+2 = 8+2 = 10

         f(3)=10 then f(4)=f(4-1)+2  = f(3)+2 = 10+2 = 12

        f(4)=12 then f(5)=f(5-1)+2  = f(4)+2 = 12+2 = 14

        f(5)=14 then f(6)=f(5-1)+2  = f(4)+2 = 14+2 = 16.


The parallelogram whose diagonals are equal in length and not perpendicular is
called
(a) square
(b) rectangle.
(d) straight.
(c) rhombus.
(d) trapezium

Answers

Answer:

Rectangle.

Step-by-step explanation:

If the diagonals are equal then the parallelogram is a rectangle. They are also equal in length in a square, which can be regarded as a special type of rectangle - but in this case the diagonals are perpendicular. They are also perpendicular in a rhombus.

can anyone help me on that question too its math plsss​

Answers

Answer:

2x= 40°

5x= 100°

Step-by-step explanation:

2x on opposite angle because it is an isosceles triangle

2x+ 2x+ 5x = 180° (angles of a triangle)

9x= 180

x= 180/9

x= 20°

Sub

2(20)= 40°

5(20)= 100°

Can someone please give me the answer I’m giving brilliant for correct answer

Answers

Answer:

the last one (1,2)

Step-by-step explanation:

.......................

Answer:

C (-1,-2)

Step-by-step explanation:

The fourth vertex should be on the same Y value as the 2nd vertex and the same X value as the 3rd vertex so it should be (-1,-2)

Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1

Answers

Answer:

1 1/2

Step-by-step explanation:

Custom drapes are being fitted for a large circular
window. It is difficult to get these measurements, but the
window has an 8 ft horizontal shelf with a 2 ft brace that
sits in the frame. If the brace is extended upward, it
would go through the center of the shelf and the circle.
What is the diameter of the window?
Diameter =
feet

Help please

Answers

The diameter is 17ft
the answer is 17!
have a good day :)

-1 3/8 as a decimal number?

Answers

Answer:

-1.375

Step-by-step explanation:

this needs to be 20 characters long

Answer:

-1.375

Step-by-step explanation:

During free throw practice, Michael made 52 out of 80 free throw
attempts. What percent of the free throws did he make? *

Answers

Answer:

65%

Step-by-step explanation:

[tex]\frac{52}{80} \times 100=65[/tex]

The answer is 65% because 52/80= 26/40 = 13/20

plsss help meee in math :(((​

Answers

Answer:

a = 30

2a = 60

3a = 90

Step-by-step explanation:

3a + 2a + a = 180 ( Sum of angles of a triangle is 180)

6a = 180

a = 180/6

a = 30

2a = 2 x 30 =60

3a = 3 x 30 = 90

Is 4 to 7 the same as 7 to 4? Explain why or why not.

Answers

Answer:

In math, 4 to 7 = 4/7and 7 to 4 = 7/4so they are NOT equal.

Step-by-step explanation:

what is a correct name fo the angle shown. R S RTS SRT

Answers

The answer to this is SRT

Willard F. Libby received his undergraduate degree from
.

After he completed his graduate work, he became a professor at
.

In 1960, he won a Nobel Prize in

Answers

Answer:

Berkley

Step-by-step explanation:

After he completed his graduate work, he became a professor at Berkley.

Answer:

Willard F. Libby received his undergraduate degree from

✔ University of California, Berkley

.

After he completed his graduate work, he became a professor at

✔ University of California, Berkley

.

In 1960, he won a Nobel Prize in

✔ chemistry

.

Step-by-step explanation:

Find the area of the shaded region, in each figure. (Use N= 3.14)

Answers

Answer:MY BUTT

Step-by-step explanation: WHY ARE U WAITING FOR OTHERS TO ANSWER YOUR QUSTION

Please find the area of of the shaded polygon

Answers

Answer:

i think it might be 15... im not sure, im not good at math but im good with finding the answers to these type of problems

Step-by-step explanation:

hope this helps

Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?

Answers

Answer: B or C sorry if its wrong

Step-by-step explanation: have a nice day

what is the constant proportionality of y=5x
a. 5
b. -5
c. -1/5
d. 1/5

Answers

Answer:

5

Step-by-step explanation:

Answer:

The Answer is a

Step-by-step explanation:

General equation of direct variation: y = kx, where k is the constant of proportionality. y = 5x, so 5 is the constant of proportionality

GIVING BRAINLIST
Percents to decimals.
What is 3.22 changing it to a decimal

Answers

Answer:

if it is 3.22% then the answer is 0.0322

3.22 ÷ 100 = 0.0322

hope this answer will help you

have a great time

Answer:

0.0322

Step-by-step explanation:

LMNP is rotated 90 degrees clockwise around the origin.
What are the coordinates of P’?

A. P’ (9,0)
B. P’ (0,-9)
C. P’ (-9, 0)
D. P’ (0,9)

Answers

Answer:

B

Step-by-step explanation:

The new position of point P (h, k) will become P’ (k, -h).

Answer:

The answer above me is INORRECT!!! Look below!!!

Step-by-step explanation:

HELP ME PLEASE
bsjsudhdhehe​

Answers

The lines cross at a single point so there is a single solution (A)

need help for geometry question

Answers

Answer:

Step-by-step explanation:

sin^-1 (21/67) = 18.27 degrees

√(67)^2 - (21)^2 = 63.62

pretty please help me!!! i’ll mark brainliest! i tried putting this at 13 points!

Answers

Answer:

m∠T = 54°

Step-by-step explanation:

The measure of a straight line is 180°. (Linear angles theorem)

So, m∠WMT + 117° = 180°

m∠WMT = 180 - 117 = 63°

The base angles in an isoceles triangle are equal in measure (base angle theorem)

So,

m∠MWT = m∠WMT

m∠MWT = 63°

The sum of angles in a triangle is 180°. (Sum of angles in a triangle theorem) So,

m∠MWT + m∠WTM + m∠WMT = 180°

Substitute the measures we already found.

63 + m∠WTM + 63 = 180

Simplify.

126 + m∠WTM = 180

m∠WTM = 54°

m∠T = 54°

I hope this helps! Feel free to ask any questions!

Answer:

54°

Step-by-step explanation:

First calculate Angle WMT as: 180° - 117° = 63°

And note that Angle WMT = Angle MWT = 63°

Therefore, Angle T = 180° - 63° - 63°

Angle T = 54°

find the errors and correct the following mathematical sentences:​

Answers

Answer:

You are supposed to correct the equation here not solve it.

Help quick please I’m timed

Answers

Answer:

Midpoint.

It is equidistant.

please show all work i’ll mark brainliest

Answers

Answer:

a) P = 26 cm

b) A = 36 cm²

Step-by-step explanation:

perimeter is sum of all sides: 6+4+2+3+4+7 = 26

Area can be found by taking entire area, 7x6, then subtracting out the area of the missing piece, 2x3

A = 42 - 6 = 36 cm²

Answer:

Area is 36 and Perimeter is 26

Step-by-step explanation:

solving area:

4x6=24

3x4=12

24+12=36

solving perimeter:

6+4+2+3+4+7= 26

Pam bought 20 pieces of fruit for her class.
o   Each piece of fruit was either an apple or an orange.
o   She spent $1.25 on each apple.
o   She spent $0.95 on each orange.
o   Pam spent a total of $22.60.
Write a system of equations that can be used to find the number of apples Pam bought. Make sure to define your variables.
 
Choose the correct define variables and the correct system of equations

Answers

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

Answer:

1.25x+0.95y=22.60

x is apples y is oranges

Step-by-step explanation:

20 - 12 = 8

1.25(12) + 0.95(8) = 22.60

1.25 · 12 = $15

0.95 · 8 = $7.60

15.00 + 7.60 = $22.60

i hope that makes sense

What percent of 30 is 5? Round your answer to the nearest tenth

Answers

Answer:

16.7

Step-by-step explanation:

Determine the domain and range of each graph use inequalities to write your answer.​

Answers

Answer: Domain is all real numbers. And the range is [ − 4 , ∞ ) ,

{ y | y ≥ − 4 }

Step-by-step explanation:

Answer:

Domain: R   Range: y≥-4

Step-by-step explanation:

Finley's pumpkin had a mass of 6.5 kilograms (kg) before he carved it. After carving it, the pumpkin had a mass of 3.9 kg ​

Answers

Answer:

[tex]\%Change = -40\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 6.5kg[/tex]

[tex]Final = 3.9kg[/tex]

Required

Determine the percentage change --- Missing from the question

This is calculated as

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{3.9kg - 6.5kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-2.6kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-260}{6.5}\%[/tex]

[tex]\%Change = -40\%[/tex]

A high school drama department sold 238 tickets for their performance.
o   An adult ticket cost $6.75.
o   A student ticket cost $3.50.
o   The high school drama department collected $1,252.25 in ticket sales.
How many student tickets were sold? 

Answers

Let x = number of student tickets
Ley y = number of nonstudent tickets

then we know that the total number of tickets is 537

so

x + y = 537

if we multiply the cost of a ticket by the number of tickets we can also get the total $

3.2x + 5.9y = 2185.5

now we have two equations and two unknowns and we can find the value for these unknowns

lets use substitution

x + y = 537 that means that x = 537-y

substitute this value in the second equation

3.2(537-y) + 5.9y = 2185.5

1718.4 - 3.2y +5.9y = 2185.5

1718.4 + 2.7y = 2185.5

2.7y = 2185.5 - 1718.4

2.7y = 467.1

y = 173

x + y =537

x + 173 = 537

x = 364

Answer:

$6.75 + $3.50 = X

X ÷ $1,252.25

Step-by-step explanation:

$6.75 + $3.50 = $10.25

$10.25 ÷ $1,252.25 = 0.00818526652

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