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zvonat [6]
3 years ago
7

Evaluate the expression 5(7 − 4)2 ÷ 3 + 11

Mathematics
2 answers:
gregori [183]3 years ago
5 0
5(7 - 4)2 \div 3 + 11 


5*3*2\div3+11
 
 


15*2\div3+11
 
 


30\div3+11
 
 

10+11 

= 21
Murljashka [212]3 years ago
4 0
5 · (7 - 4)² : 3 + 11 = 5 · 3² : 3 + 11 = 5 · 9 : 3 + 11 = 45 : 3 + 11= 15 + 11 = 26


5 · (7 - 4) · 2 : 3 + 11 = 5 · 3 · 2 : 3 + 11 = 15 · 2 : 3 + 11 = 30 : 3 + 11 = 10 + 11 = 21
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YES

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Why is the classmate correct?

The reason why the classmate is correct is that everything can turn 360 degrees. This means that a square, has to turn 360 degrees, and it does that by doing 90x4. This means that it has 90-degree angles, which turn 4 times. And that makes 360. That's how this is also correct. Because this classmate turned a figure 270 degrees clockwise, and also, 360-270=90, which means that turning that figure 90 degrees counter-clockwise will make it in that same position.

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Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the
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Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

<em>A</em> = Thomas bumps into Madeline at school

<em>B</em> = Thomas call Madeline on the phone

<em>X</em> = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:

P(U|V)=\frac{P(V|U)P(U)}{P(V)}

The law of total probability states that:

P(V)=P(V|U)P(U)+P(V|U')P(U')

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

P(X) = P(X|A)P(A)+P(X|B)P(B)

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Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

             =\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

6 0
3 years ago
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