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aliya0001 [1]
3 years ago
15

A tea‑drinking Canadian friend of yours claims to have a very refined palate. She tells you that she can tell if, in preparing a

cup of tea, milk is first added to the cup and then hot tea poured into the cup, or the hot tea is first poured into the cup and then the milk is added. To test her claims, you prepare six cups of tea. Three have the milk added first and the other three have the tea first. In a blind taste test, your friend tastes all six cups and is asked to identify the three that had the milk added first. (a) How many different ways are there to select three of the six cups?
Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

Answer:

20

Step-by-step explanation:

There are 20 ways to select 3 cups from the 6 cups.

This can be calculated using formula nCr

Where,

n = objects

r = sample

Calculating 6C3 using calculator that is 20.

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kotykmax [81]

10+6+9+13+7= 45

and divide it by 5

the answer is 9

8 0
3 years ago
Read 2 more answers
Which will result in a perfect square trimonial?
Veronika [31]

Answer:

is there suppose to be a picture

Step-by-step explanation:

8 0
3 years ago
Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.
Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers a and b whose sum is a prime number p, that their greatest common divisor is greater than 1.

a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\

Since p is a prime number and d>1, then d=p \wedge e+f=1, but we assumed earlier that e,f\in\mathbb{Z^+}, and there are no two positive integers that sum up to 1.

q.e.d.

7 0
3 years ago
I NEED HELP ASAP
SVEN [57.7K]

Alright, lets get started.

If the polygon measures 45 degree exterior angle and we are asked to find number of sides, there is a formula for that.

\frac{360}{n} = value of exterior angle

Where n is number of sides of ploygon

\frac{360}{n}  = 45

Multiplying n into both sides

\frac{360}{n} * n = 45 n

360 = 45 n

Now divide 45 in both sides

\frac{360}{45}  = \frac{45n}{n}  = n = 8

n = 8

Means number of sides of polygon is 8, hence its Octagon. Answer

Now we have given 45 exterior angle hence interior angle would be

180 - 45 = 135°

So, sum of all interior angles would be = number of sides * interior angle

sum of all interior angles would be = 8 * 135 = 1080

Hence sum of all interior angles would be 1080°. Answer

Hope it will help :)

7 0
4 years ago
Consider the function, f(x) = 3x - 3. Determine the asymptote for the function f(x).
Natali [406]

Answer:

Y= 1

Step-by-step explanation:

Given the expression f(x) = 3x - 3.

To solve for the asymptote y

Firstly we need to solve for x

3x-3=0

3x=3

x= 3/3

x=1

Hence the asymptote of the function y=1

5 0
3 years ago
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