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My name is Ann [436]
3 years ago
13

Choose the single logarithmic expression that is equivalent to the one shown.

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0
<span>log 24. The formula for logarithmic addition is log (a) + log (b) = log(ab). Substituting 8 and 3 for a and b respectively gives the result log 24.</span>
Oksanka [162]3 years ago
3 0
The first thing you should know is that there are properties for logarithms.
 One of them is the following one:
 Let a and b be numbers, by property of logarithms:
 log (a * b) = log (a) + log (b)
 Therefore, by applying the property shown we have:
 log 8 + log 3 = log (8 * 3)
 log 8 + log 3 = log (24)
 the answer is
 log 24
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The prior probabilities for events A1 and A2 are P(A1) = 0.30 and P(A2) = 0.55. It is also known that P(A1 ∩ A2) = 0. Suppose P(
k0ka [10]

We're given the following probabilities:

P(A_1)=0.30

P(A_2)=0.55

P(A_1\cap A_2)=0

P(B\mid A_1)=0.20

P(B\mid A_2)=0.05

(a) Yes, A_1 and A_2 are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.

(b) Use the definition of conditional probability to expand:

P(A_1\cap B)=P(A_1)P(B\mid A_1)=0.30\cdot0.20=0.06

P(A_2\cap B)=P(A_2)P(B\mid A_2)=0.55\cdot0.05=0.0275

(c) By the law of total probability,

P(B)=P(A_1\cap B)+P(A_2\cap B)=0.06+0.0275=0.0875

(d) Bayes' theorem says

P(A_1\mid B)=\dfrac{P(A_1)P(B\mid A_1)}{P(B)}=\dfrac{0.30\cdot0.20}{0.0875}\approx0.686

P(A_2\mid B)=\dfrac{P(A_2)P(B\mid A_2)}{P(B)}=\dfrac{0.55\cdot0.05}{0.0875}\approx0.314

3 0
3 years ago
Answer this question for points or brainliest
aleksklad [387]

Answer:

I'll have both

Step-by-step explanation:

so anyway I started blasting

5 0
2 years ago
27÷819= <br> give me the quotient for 27÷819
Dafna11 [192]

Answer:

0.03296703

Step-by-step explanation: Just put this in the calculator and it will give you an answer. If youb dont have a calculator then look it up on the computer!

~Cake Queen (:

3 0
3 years ago
What is the perimeter of this composite figure?<br> 4 cm<br> 6 cm
AlekseyPX
4cm I think, because it’s usually a even and equal number. But don’t take my word for it.
8 0
1 year ago
Read 2 more answers
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introdu
mariarad [96]

Answer:

  • Calculus texts: 600
  • History texts: 0
  • Marketing texts: 0

Step-by-step explanation:

Each Calculus text returns $10/2 = $5 per unit of shelf space. For History and Marketing texts, the respective numbers are $4/1 = $4 per unit, and $8/4 = $2 per unit. Using 1200 units of shelf space for 600 Calculus texts returns ...

  $5/unit × 1200 units = $6000 . . . profit

Any other use of units of shelf space will reduce profit.

7 0
3 years ago
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