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Juliette [100K]
3 years ago
12

Expand each logarithm using the properties of logarithms.

Mathematics
1 answer:
lora16 [44]3 years ago
6 0
A.  = logb (3/7)^1/2
      = logb  3^1/2 - logb 7^1/2
      = 1/2(logb 3 - logb 7)

b.  =  log 7x^3 + log y^5
      = log 7 + log x^3 + log y^5
      = log 7 + 3 log x + 5 log y
You might be interested in
2x-7=13 what is does x stand for?
andriy [413]

Answer:

x=10

Step-by-step explanation:

2x-7=13

13+7=20

20/2=10

lets see if it works:

2(10)-7-13

20-7=13

it works! which means is 10

please mark me as brainliest!!<3

7 0
3 years ago
F(x)= 2-1/x<br>g(x)= x/2<br><br>what is f(g(x))?
kompoz [17]
To find f(g(x)), plug g(x) into f(x) and simplify.

f(x/2) = 2 - 1/(x/2)

All you have to do is simplify the right side of the equation.

Take it from here.



8 0
2 years ago
Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we
klio [65]

Answer:

P(X>9) = 0.3593

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=25, p=0.3089)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

For this case we want this probability:

P(X >9)

And we can use the complement rule like this:

P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]And we can find the individual probabilities like this:

P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974  

P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011  

P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584  

P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02  

P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049  

P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092  

P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138

P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167

P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"  

And we got:

P(X>9) = 0.3593

4 0
3 years ago
Find the measure of ZAOC.<br> A 33°<br> B. 38°<br> C. 610<br> D. 71°
mart [117]
33+38 = 71
Answer D. 71
6 0
3 years ago
Read 2 more answers
Which of the following is NOT a factor in maintaining a fitness program?
Pepsi [2]

appearance

Step-by-step explanation:

i think that would be the best

4 0
3 years ago
Read 2 more answers
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