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Rus_ich [418]
2 years ago
12

2^(x+1) X 3^(x-2) = 8solve the equation.. help me plizzzz​

Mathematics
2 answers:
madam [21]2 years ago
6 0

Answer:

X = 2

Step-by-step explanation:

If you need an step by step explanation, leave a comment! :D I'll write it here.

gayaneshka [121]2 years ago
4 0

Answer:

Answer is file

Step-by-step explanation:

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Each egg carton holds one dozen eggs. Michael's chicken farm fills 121 egg cartons. He thinks that there were over 1500 eggs. Is
Kobotan [32]
121 x 12 = 1452 so over 1500 is not a correct estimate. Less than 1500 is the right estimate
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2 years ago
A golden eagle flies a distance of 290 miles in 5 days.if the eagle flies the same distance each day of its journey, how far doe
salantis [7]

58 miles because 290/5=58

7 0
3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary).
vampirchik [111]

Answer:

9.2 (\sqrt{85\sqrt{85})

Step-by-step explanation:

square root of (8-(-1))^2 + (2-4)^2) which is square root of 85 which is approximately 9.2 rounded to the nearest tenth

6 0
2 years ago
Read 2 more answers
Suppose that the probability that a person is killed by lightning, in a year is, independently of other people, 1/(500 million).
Katen [24]

Answer:

a) P(X \geq 3) = 1- P(X

The individual pprobabilities are:

P(X=0)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.548812

P(X=1)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.329287

P(X=2)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.098786

And if we replace we got:

P(X \geq 3) = 1- [0.548812+0.329287+0.098786]=0.023115

b) P(X \geq 3) = 1- P(X

And we can calculate this with the following excel formula:

=1-BINOM.DIST(2;300000000;(1/500000000);TRUE)

And we got:

P(X\geq 3) = 0.023115

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=300000000, p=\frac{1}{500000000})

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!}

(a) Write down the exact expression for the probability P(3 or more people will be killed by lightning in the U.S. next year). Evaluate this expression to 6 decimal places.

For this case we want this probability, we are going to use the complement rule:

P(X \geq 3) = 1- P(X

The individual probabilities are:

P(X=0)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.548812

P(X=1)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.329287

P(X=2)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.098786

And if we replace we got:

P(X \geq 3) = 1- [0.548812+0.329287+0.098786]=0.023115

(b) Write down a relevant approximate expression for the probability from (a). Justify briefly the approximation. Evaluate this expression to 6 decimal places.

For this case we want this probability, we are going to use the complement rule:

P(X \geq 3) = 1- P(X

And we can calculate this with the following excel formula:

=1-BINOM.DIST(2;300000000;(1/500000000);TRUE)

And we got:

P(X\geq 3) = 0.023115

7 0
3 years ago
If a + 1 = b, then b > a. True False
Alchen [17]
True because b will always be +1 than a
7 0
3 years ago
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