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3 years ago

7

Mr. Plum's math class of 25 students had an average of 85 on a test. Miss Scarlett's class of 22 students had an average of 87 o

n the same test. What is the average of the two classes combined?

2 answers:

Monica [59]3 years ago

6 0

Use ((85x25)+(22x87))/ 47 for this to get the answer of about 86 (rounded)

maria [59]3 years ago

3 0

Add the two averages together and then divide it by 2. Thats your answer.

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State the converse, contrapositive, and inverse of each of these conditional statements a) If it snows tonight, then I will stay

marissa [1.9K]

Step-by-step explanation:

Consider the provided information.

For the condition statement $p \rightarrow q$ or equivalent "If p then q"

The rule for Converse is: Interchange the two statements.
The rule for Inverse is: Negative both statements.
The rule for Contrapositive is: Negative both statements and interchange them.

Part (A) If it snows tonight, then I will stay at home.

Here p is If it snows tonight, and q is I will stay at home.

Converse: If I will stay at home then it snows tonight.

$q \rightarrow p$

Inverse: If it doesn't snows tonight, then I will not stay at home.

$\sim p \rightarrow \sim q$

Contrapositive: If I will not stay at home then it doesn't snows tonight.

$\sim q \rightarrow \sim p$

Part (B) I go to the beach whenever it is a sunny summer day.

Here p is I go to the beach, and q is it is a sunny summer day.

Converse: It is a sunny summer day whenever I go to the beach.

$q \rightarrow p$

Inverse: I don't go to the beach whenever it is not a sunny summer day.

$\sim p \rightarrow \sim q$

Contrapositive: It is not a sunny summer day whenever I don't go to the beach.

$\sim q \rightarrow \sim p$

Part (C) When I stay up late, it is necessary that I sleep until noon.

P is I sleep until noon and q is I stay up late.

Converse: If I sleep until noon, then it is necessary that i stay up late.

$q \rightarrow p$

Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.

$\sim p \rightarrow \sim q$

Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.

$\sim q \rightarrow \sim p$

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