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vova2212 [387]
3 years ago
7

What is 2 1/8 - 1 2/7 equal to?

Mathematics
1 answer:
Allushta [10]3 years ago
6 0
2 1/8 - 1 2/7 = ?
8*2+1/8 - 7*1+2/7 =
17/8 + 9/7 =

8,7 | 2
4,7 | 2
2,7 | 2
1, 7 | 7
1, 1 | 1_______ 2*2*2*7 = 56

17/8 + 9/7 =
56÷8*17/56 + 56÷7*9/56 =
7*17/56 + 8*9/56 =
119/56 + 72/56 = 191/56

Answer:

191/56
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Answer:

The probability that Swallows will win the trophy is 0.8064

The probability that Rucks will win the trophy is 0.1936

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Swallows win, or they do not. The probability of them winning a game is independent of any other game, which means that the binomial probability distribution is used.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability the Swallows wins is 0.56

This means that p = 0.56

2 games:

This means that n = 2

The probability that Swallows will win the trophy is

Probability they win at least one game, so:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{2,0}.(0.56)^{0}.(0.44)^{2} = 0.1936

Then

P(X \geq 1) = 1 - 0.1936 = 0.8064

0.8064 = 80.64% probability the Swallows win the trophy and 0.1936 probability that the Rucks win the trophy.

5 0
3 years ago
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treat
lorasvet [3.4K]

Answer:

A. 14.6 ± 7.00

Step-by-step explanation:

Formula for the confidence interval between the two mean is;

CI = (μ2 - μ1) ± z√[((s1)²/n1) + ((s2)²/n2)]

We are given;

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n2 = 10

The z-value at confidence interval of 90% is 1.645

Thus;

CI = (109.1 - 94.5) ± 1.645√[(10²/10) + (9²/10)]

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Answer:

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Step-by-step explanation:

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