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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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Please help I don’t know how to solve these... can anyone explain? I’m desperate
Elenna [48]

Answer:

1.) 16.5

2.) 24.2 ft

3.) 10.8 ft

Step-by-step explanation:

1.) So first you need to use Heron's formula

S = (A + B + C)/2

So

S = (17 + 17 + 8)/2

S = 21

Now

Area  = \sqrt{S(S - A)(S-B)(S-C)}

So

\sqrt{21(21-17)(21-17)(21-8)}

So the Area is equal to 66.1

Now to find the height we use the Area of the triangle formula

A = 1/2 B*H

66.1 = 1/2(8) * H

66.1 = 4H

H = 16.525

So the height of the triangle is 16.5 units tall

2.) For this question you just use the Pythagorean theorem.

a² + b² = c²

So 22² + 8² = c²

484 + 64 = c²

548 = c²

\sqrt{584} = c

c = 24.1660919472 ft

So the length of the wire is 24.2 ft long

3.) Again this is the Pythagorean theorem.

a² + b² = c²

So 10² + 4² = c²

100 + 16 = c²

116 = c²

\sqrt{116} = c

c = 10.7703296143 ft

So the length of the banner is 10.8 ft long

7 0
3 years ago
Complete the table for the function y=x+3 <br><br> x - y <br> 0 -<br> 2 -<br> 4 - <br> 6 -
Rus_ich [418]
For each x value, add 3 to get y values.
0+3=3
2+3=5
4+3=7
6+3=9

Final answers, respectively: 3,5,7,9
7 0
3 years ago
If the measure of angle 2 is 92 degrees and the measure of angle 4 is (1/2x) degrees what is the value of x?
bekas [8.4K]

multiply 92 times .5 and you get 184


4 0
3 years ago
Read 2 more answers
Use the graph to answer the question.
Lelu [443]

Answer:

Coordinate Q is (0.8, 0.7)

Step-by-step explanation:

We are told that the coordinates of point Pare (0.6,0.1).

This means that along the x-axis, x = 0.6 and along the y-axis, y = 0.1.

Now, by inspection of the graph, we can see that when we count boxes from the origin to the point P, we have 6 boxes. Thus, each box corresponds to 0.1. So, for point Q, from the origin to that point, on the x-axis, we have 8 boxes. Since one box = 0.1, then the x - value of Coordinate Q is 0.8.

On the y - axis, we see that we have one box from the origin up for the corresponding y-value of coordinate P.

This means that one box is 0.1.

For coordinate Q, we will count 7 boxes. Thus, y-value of coordinate Q is 0.7.

Thus,coordinate Q is (0.8, 0.7)

7 0
3 years ago
The _____ of a type of measurement indicates how free that measurement is from random error. Multiple Choice validity verifiabil
Veronika [31]

Answer:

Reliability

Step-by-step explanation:

Here, we want to select the option that best completes the given question

The correct answer is the reliability

When we speak of how reliable a type of measurement is, we are simply referring to how free the particular measurement is from random error

Measurements that are free from random error are said to be reliable

8 0
3 years ago
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