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3 years ago

Which word best complete the analogy

Mathematics

2 answers:

tankabanditka [31]3 years ago

8 0

Answer:

Skill.

This is a fairly simple analogy.

Elza [17]3 years ago

7 0

Stroll
Stroll is a synonym for walk

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Answer:

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Step-by-step explanation:

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3 years ago

If you have money in a savings account, you will do better if the bank pays you

diamong [38]

Where’s the question?

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3 years ago

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The ratio of iphones to Galaxy phones in a school is 3:2. If there is a total of 955 phones in the school, how many are there of

jonny [76]

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3 years ago

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A certain class has 20 students, and meets on Mondays and Wednesdays in a classroom with exactly 20 seats. In a certain week, ev

Olin [163]

Answer:

The probability that no one sits in the same seat on both days of that week is given by, $P(\cap^{20}_{i=1}A_i^c)=\frac{1}{e}$

Step-by-step explanation:

Given : A certain class has 20 students, and meets on Mondays and Wednesdays in a classroom with exactly 20 seats. In a certain week, everyone in the class attend both days. On both days, the students choose their seats completely randomly (with one student per seat).

To find : The probability that no one sits in the same seat on both days of that week ?

Solution :

Let $A_i$ be the i-th student sits on seat which he has been sitting on Monday.

According to question,

We have to calculate $P(\cap^{20}_{i=1}A_i^c)$

Applying inclusion exclusion formula,

$P(\cap^{20}_{i=1}A_i^c)=1-P(\cap^{4}_{i=1}A_i)$

$P(\cap^{20}_{i=1}A_i^c)=1-P(A_1)+...+P(A_{20})-P(A_1\cap A_2)+...+P(A_{19}\cap A_{20})+P(A_1\cap A_2\cap A_3)+...+P(A_{18}\cap A_{19}\cap A_{20})....-P(A_1\cap A_2...\cap A_{20})$

Using symmetry,

$P(\cap^{20}_{i=1}A_i^c)=1-\sum^{20}_{k=1}(-1)^{k+1}\binom{20}{k}P(A_1\cap ...\cap A_k)$

$P(\cap^{20}_{i=1}A_i^c)=1-\sum^{20}_{k=1}(-1)^{k+1}\binom{20}{k}\frac{(20-k)!}{20!}$

$P(\cap^{20}_{i=1}A_i^c)=1+\sum^{20}_{k=1}(-1)^{k}\frac{1}{k!}$

$P(\cap^{20}_{i=1}A_i^c)=\sum^{20}_{k=0}(-1)^{k}\frac{1}{k!}$

$P(\cap^{20}_{i=1}A_i^c)=\frac{1}{e}$

Therefore, The probability that no one sits in the same seat on both days of that week is given by, $P(\cap^{20}_{i=1}A_i^c)=\frac{1}{e}$

8 0

3 years ago

In 1990, the average math SAT score for students at one school was 498. Five years later, a teacher wants to perform a hypothe

mojhsa [17]

Answer:

A. Fail to reject the claim that the average math SAT score is 498 when in fact it is not 498.

Step-by-step explanation:

Type II Error:

A type II error happens when there is a non-rejection of a false null hypothesis.

In this question:

The null hypothesis is H0:μ=498.

Since there is a type II error, there was a failure to reject the claim that the average math SAT score is 498 when in fact it is not 498, and thus, the correct answer is given by option A.

6 0

4 years ago

Which word best complete the analogy ​

Which word best complete the analogy