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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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After 3 points have been added to every score in a sample, the mean is found to be M 5 83 and the standard deviation is s 5 8. W
Maurinko [17]

Answer:

Hence the value for the mean is  80 and the standard deviation for the original sample is 8.

Step-by-step explanation:

Mean = 83-3 = 80.

Here the standard deviation didn't change = 8.

5 0
3 years ago
Which term is not a like term?<br><br> 3x<br> 4y<br> 7x<br> x
Katena32 [7]

Answer:

4y is not a like term.

Step-by-step explanation:

Unlike the other variables, 4y has a y instead of an x. The numbers with an x variable can all be combined, but 4y can't be combined with an x variable.

6 0
3 years ago
Find the slope and y-intercept of the line
Serhud [2]

Answer:

C

Step-by-step explanation:

The slope is 1.  Note how each time x increases by 1 unit, y also increases by 1 unit.

The y-intercept is (0, -1).

Answer C is correct.

5 0
3 years ago
Volume of prisms just 3 problems
Vladimir79 [104]

Answer:

2.  18 cubic cm.

3. 27 cubic cm

5. 90 cubic m

Step-by-step explanation:

2. Triangular prism

So, we have a triangular prism with a width of 3 cm, a height of 1.5 cm and a length of 4.  We'll take the triangle shape as the base.

Like for any prism, the volume is the base multiplied by the height.

So, the area of the base is found with the regular formula: base x height:

so, 3 x 1.5 = 4.5 sq cm for the base.

Then we multiply the base by the length to get the volume: 4.5 x 4 = 18 cubic cm.

3. Trapezoidal prism

Again, first step is to calculate the area of the trapezoid shape, then multiply by its depth.

The area of a trapezoid is calculated with the formula:

A = h/2 * (a + b) where a and b represent the short and long sides respectively.

So, for our given trapezoid:

A = 1.5/2 * (2+4) = 0.75 * 6 = 4.5 sq cm.

Then we multiply the base area by the height to get the volume:

V = 4.5 * 6 = 27 cubic cm

5. Triangular prism 2

The best way to approach this one is to consider it's a triangle prism with a height of 3 cm, and use the triangle shape (with sides of 13 and 5) as the base.

But to calculate the area of that triangle we need to find out the missing length. Using Pythagore's theorem, we can easily find the length of the other side with the hypotenuse formula:

hypotenuse² = sideA² + sideB²

In our case, we have:

13² = x² + 5²

169 = x² + 25

x² = 144

x = 12

Now we can calculate the area of the triangle easily:

A = (b x h)/2 = (5 x 12)/2 = 30 sq m

Then multiply by the thickness of the prism....

V = 30 x 3 = 90 cubic m

4 0
3 years ago
Fill in the blank.<br>(x+a) (x+b) = (___) (___)​
Inga [223]

Answer:

(x+a) (x+b)=x(x+b)+a(x+b)=x²+bx+ax+ab=x²+x(a+b)+ab

7 0
3 years ago
Read 2 more answers
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