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Zielflug [23.3K]

3 years ago

8

Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)

1 answer:

Readme [11.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)

a)quotient property

b)power property

c)change of base rule

d)product property

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nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

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".

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

$X \sim Binom(n=30, p=0.05)$

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

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

3 years ago

What kind of sequence is the pattern 15, 17, 20, 24, 29,

VikaD [51]

$\implies {\blue {\boxed {\boxed {\purple {\sf { \: 15, 17, 20, 24, 29,35, 42}}}}}}$

$\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}$

$\: 15, 17, 20, 24, 29,35, 42$

➺ $\: 15 + 2 = 17$

➺ $\: 17 + 3 = 20$

➺ $\: 20 + 4 = 24$

➺ $\: 24 + 5 = 29$

➺ $\: 29 + 6 = 35$

➺ $\: 35 + 7 = 42$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

7 0

3 years ago

K/2+1/2=3 find the k

NikAS [45]

Answer:

k = 5

Step-by-step explanation:

Given

$\frac{k}{2}$ + $\frac{1}{2}$ = 3 ( multiply through by 3 to clear the fractions )

k + 1 = 6 ( subtract 1 from both sides )

k = 5

4 0

3 years ago

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Will give branliest answer if correct!!!! JUST 3 QUESTIONS YOU HAVE TO ANSWER.

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One is A
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pishuonlain [190]

Answer:

10

Step-by-step explanation:

D= $\sqrt{(1-(-5))^2+(4-(-4)^2}$

D= $\sqrt{6^2+8^2}$

D= $\sqrt{36+64}$

D= $\sqrt{100}$

D=10

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3 years ago