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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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The graph of an equation with a negative discriminant always has which characteristic?<br>​
jasenka [17]

Answer:

a posative

Step-by-step explanation:

3 0
3 years ago
Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}

=56(0.4)^5 (0.6)^3

=0.12386304

(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8

=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

8 0
3 years ago
What is the difference in the size between 1/4 and 1 1/2
masya89 [10]
1 1/2 can be rewritten as 3/2
Difference means subtraction

So we do:
3/2-1/4
To get the same denominator, we can multiply the first fraction by 2
6/4-1/4

Then we subtract the numerators and leave the denominator
So the final answer is 5/4 of 1 1/4

Hope this helps
8 0
3 years ago
Please help with both questions AND SHOW ALL WORK please thank you. :)
Svet_ta [14]
Question 1

angle 1=angle 3
angle 3=37
therefore angle 1=37


3 0
3 years ago
Read 2 more answers
Emma runs 3/4 mile in 6 minutes. Joanie runs 1 1/2 miles in 11 minutes. Whose speed is greater?
Whitepunk [10]
Amma solve it first then ill tell you what i got as the answer:)
3 0
3 years ago
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