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Alexxx [7]
3 years ago
15

An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both probl

ems 1 and 2, what percent of the students who solved problem 1 also solved problem 2?
Mathematics
1 answer:
olga55 [171]3 years ago
7 0

Answer:

  about 32%

Step-by-step explanation:

The desired probability is the conditional probability that problem 2 was solved given that problem 1 was solved. That is ...

  P(2|1) = P(1&2)/P(1) = 12%/37% ≈ .324 ≈ 32%

____

You can also think of it like this. If there were 100 students taking the exam, 37 solved the first problem. Of those 37, 12 solved the second one. 12 is about 32% of 37.

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Why does using FOIL on polynomial expressions match so closely to integer multiplication?
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<span> FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions. </span>
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<span>For instance, if we multiply the two expressions </span>
<span>(x + 1) (x + 2) </span>
<span>then the result is the sum of these four products: </span>
<span>x times x (the First terms of each expression) </span>
<span>x times 2 (the Outside pair of terms) </span>
<span>1 times x (the Inside pair of terms) </span>
<span>1 times 2 (the Last terms of each expression) </span>
<span>and so </span>
<span>(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2 </span>
<span>[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment]. </span>

<span>Now, compare this to multiplying a pair of two-digit integers: </span>
<span>37 × 43 </span>
<span>= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3) </span>
<span>= 1200 + 90 + 280 + 21 </span>
<span>= 1591 </span>

<span>The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation. </span>
7 0
3 years ago
Bag A contains 3 red and 2 white marbles
Paladinen [302]
Your question is incomplete.

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4 0
3 years ago
What is the solution to the system of equations y= -5x + 30 x = 10
Arturiano [62]

Answer:

We have been given the equation:

y=-5x+30

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Substitute the given x in the given equation we get:

y=-5(10)+30

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y=-20

Required solution is:  x= 10 and y=-20

The solution to the system of equation is those points that satisfy the given system of equations.

3 0
3 years ago
Read 2 more answers
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3 years ago
Question 5(Multiple Choice Worth 1 points) (03.03 LC) If a figure has been dilated by a scale factor of 4, which statement expla
Novosadov [1.4K]

Answer:

A translation can map one angle unto another since dilations preserve angle measures of triangles

Step-by-step explanation:

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