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inn [45]
3 years ago
11

An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorpt

ion 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
Mathematics
1 answer:
irinina [24]3 years ago
7 0

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:

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

C_{n,x} = \frac{n!}{x!(n-x)!}

Two events, A and B are independent, if:

P(A \cap B) = P(A)P(B)

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

Six locations from a set of 8. So

C_{8,6} = \frac{8!}{6!2!} = 28

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

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A student states that Figure JKLM is congruent to Figure PQRS. Determine if the student is correct or has made an error. ;D
lyudmila [28]

Answer:

Student has made an error

Step-by-step explanation:

If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.

But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.

<em>Hence explained !</em>

4 0
3 years ago
John swims 2.5 miles and sees a total of 12 fishes if he swims 8 miles how many fish will he see
Zolol [24]

Answer:

Step-by-step explanation:

2.5 miles = 12 fishes

Therefore,

8 miles = 12*8/2.5=96/2.5= 960/25=38.4 fishes

5 0
1 year ago
What is the volume (in cubic units) of a sphere with a radius of 6 units? Assume that π = 3.14 and round your answer to the near
abruzzese [7]

Answer: 904.32  cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = V = \frac{4}{3}\pi r^{3} \\

Substitute pi for 3.14 and radius for 6. 6^3 = 216

\\V = \frac{4}{3}\ (3.14)( 216) \\\\

Multiply them together, the answer is 904.32  cubic units.

8 0
3 years ago
What is the area of this composite figure?<br>A. 135 cm2<br>B. 207 cm2<br>C. 249 cm2<br>D. 279 cm2
mariarad [96]

Answer:

249 cm^2

Step-by-step explanation:

This problem becomes easier if we subdivide the figure, find the areas of the resulting figures and then sum them up.

Draw a vertical line straight down from the edge marked "4 cm" towards the edge marked "18 cm."  The resulting rectangle on the left is 15.5 cm long and (18 - 7.5) cm wide, or 15.5 by 10.5 cm.  Its area is 162.75 cm^2.

Next, find the area of the rectangle on the right of the line we drew.  Its width is 7.5 cm and its height (15.5 - 4) cm, resulting in an area of 86.25 cm^2.

Last, add together these two subareas:  combine 86.25 cm^2 and 162.75 cm^2.  The total area of the composite figure is then 249 cm^2 (answer).

7 0
3 years ago
Homework Help ASAP!
lutik1710 [3]

Answer:

The statement is true

Step-by-step explanation:

The denominators of the fractions are 3 and 4. The least common multiple of those numbers is 12, making the least common denominator 12.

5 0
3 years ago
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