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Black_prince [1.1K]
3 years ago
7

Write a quadratic equation whose roots are -4 and one and who's leading coefficient is five

Mathematics
1 answer:
Alex3 years ago
7 0

Step-by-step explanation:

- 4 and 1 are roots.

Therefore, (x + 4) & (x - 1) are factors and 5 is leading coefficient.

Therefore, required quadratic equation is:

5 (x + 4) (x - 1)  \\  = 5( {x}^{2}  - x + 4x - 4) \\  = 5( {x}^{2}  + 3x - 4) \\  = 5 {x}^{2}  + 15x - 20

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Use the formula for the probability of two dependent events P(A and B) to derive the conditional probability formula for P(B | A
gregori [183]

The conditional probability formula for P(B | A) has been derived from two dependent events P(A and B).

<h3>What is said to be dependent events?</h3>

When the outcome from one event influences the outcome of the other, two events are referred to as dependent.

  • Dependent events in probability are generally real-life events that depend on another event to occur.
  • Sam, for example, did well on his math test because he prepared; the gym class used to have a football session even though Adam brought a football from home.
  • When you look at these examples, you will realize that one occurrence is dependent on the other.

Derivation of conditional probability from two dependent events P(A and B) is-

The probability multiplication rule is used to derive the conditional probability formula, P(A and B) = P(A)×P(B|A).

This rule is also known as P(AB). The Union symbol (∪) represents "and," as in event A occurring and event B occurring.

Step 1: Write the multiplication rule down:

           P(A and B) = P(A)*P(B|A)

Step 2: P(A) divides both sides of the equation:

           P(A and B) / P(A) = P(A)*P(B|A) / / P(A)

Step 3: On the right side of the equation, cancel P(A):

           P(A and B) / P(A) = P(B|A)

Step 4: Rewrite the equation as follows:

           P(B|A) = P(A and B) / P(A)

Therefore, P(B | A) conditional probability formula is compiled from two dependent events P (A and B).

To know more about the conditional probability, here

brainly.com/question/10739997

#SPJ4

8 0
1 year ago
Evaluate x+1 when x = 2.5
lina2011 [118]
Plug in 2.5 for x and you get

2.5+1 which equals 3.5
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3 years ago
If a pair of parallel lines are rotated
Sever21 [200]
They are still parrallel lines

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3 years ago
-3p-(-8+4p) combining like terms &amp; distributive property
Nutka1998 [239]
Work: -3p-(-8+4p)
Distribute
-3p+8-4p
Combine
-7p+8
Answer: -7p+8

Hope that helps
8 0
3 years ago
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Below are the lengths (in minutes) of phone calls made on an 800 line to a business on one day. Fine the five-number summary for
RoseWind [281]

Answer :19

19\

Step-by-step explanation:

3 0
3 years ago
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