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horrorfan [7]
2 years ago
14

Suppose you have six people participating in a completely randomized comparative experiment. Three people will receive the treat

ment and three the placebo. Give the number of possible ways to choose the three subjects who will receive the treatment.
Mathematics
1 answer:
Karolina [17]2 years ago
3 0

Answer:

20.

Step-by-step explanation:

This can be solved using combination technique. Since we have to choose 3 out of 6 and their order is not considered. Thus,

6 combination 3

= 6C3

= \frac{6!}{3!*(6-3)!}

= \frac{6*5*4*3!}{3!*3!}

= \frac{6*5*4}{3*2*1}

= \frac{6*5*4}{6}

= 5*4

= 20 ANSWER

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3. Adrian kept an eye on the basketball game score by looking online every 10 minutes. Over the course of
Montano1993 [528]

Answer:

3. Adrian kept an eye on the basketball game score by looking online every 10 minutes. Over the course of

2 hours, 4 times Adrian’s favorite team was ahead by 3 points, and 4 times Adrian’s favorite team was behind

by 4 points. All other times, the two teams were tied.

(a) What is the average score of Adrian’s favorite team relative to its opponent using the observations

Adrian made during the game? Show your work neatly.

(b) Explain what this value means about Adrian’s favorite team’s performance

Step-by-step explanation:

7 0
1 year ago
In which quadrant is (1/2, -1.8)?
ad-work [718]

Answer:

Quadrant IV

Step-by-step explanation:

Quadrant I = (+ , +)

Quadrant II = (- , +)

Quadrant III = (- , -)

Quadrant IV = (+ , -)

(1/2 , -1.8)

1/2 is +

1.8 is -

(+ , -)

It lies on Quadrant IV

3 0
2 years ago
Read 2 more answers
An isosceles triangle used to rack billiard balls has a base of 11.25 inches. The sides of the triangle meet at a 56° angle. To
lara [203]

Answer:

The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches

Step-by-step explanation:

Given as for a Isosceles triangle :

The base of Triangle = 11.25 inches

The sides of triangle meets at 56°

Let the unknown side measure = x inches

From <u>The property of isosceles triangle</u>

The angle opposite to the same side are equal

I.e \Theta _1 =  \Theta _2 = 56°

So, The third angle = 180° - ( \Theta _1 +  \Theta _2 )

Or, The third angle = 180° - ( 56° + 56° )

∴   The third angle = 180° - 112° = 68°

Now, From isosceles triangle

Tan 56° = \frac{perpendicular}{base}

Or, Tan 56° = \frac{x}{11.25}

∴   x = 11.25 × Tan 56°

Or, x = 11.25 × 1.482 = 16.672 inches

Hence The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches   Answer

6 0
2 years ago
Carlo used this number line to find the product of 2 and −3. A number line going from negative 7 to positive 3. An arrow goes fr
Vesnalui [34]

Answer:

The errors are;

a. negative 4 to negative 6

b. negative 2 to negative 4

Step-by-step explanation:

The number line is the mathematical representation of numbers in the horizontal line or the x-axis.

The result of the multiplication of a positive 2 and a negative 3 is;

           2 x -3 = -6 ,  gives a negative 6.

So the number line should scale to accommodate the operands and the result, which is from negative 7 to positive 3, in the option given.

8 0
2 years ago
A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele
KATRIN_1 [288]
<h3>Answer: 680 different combinations</h3>

=======================================================

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks indicate factorials

5 0
2 years ago
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