All categories

3 years ago

The energy magnitude M of an earthquake can be modeled by the equation

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer: magnitude of an earthquake with an energy release of 7.079 X 10^26 =8

Step-by-step explanation:

Given that the magnitude M of an earthquake can be expressed by the equation

M=(2/3)log E - 9.9

Given that Energy release , E=7.079 X 10^26

Magnotude , M=(2/3)log E - 9.9

=2/3 log7.079 X 10^26 -9.9

2/3 x 2.8499719 -9.9

17.8999813 -9.9

=7.9999

rounded to 8 magnitude

You might be interested in

2. Help ASAP!!!!!!!!!!!!!!!!

ch4aika [34]

ANSWER

$2 \times 2$

EXPLANATION

The dimensions of a matrix is of the form:

$Row \times Column$

The dimensions of the first matrix is

$2 \times 3$

The dimensions of the second matrix is

$3 \times 2$

Since the inner products are the same,the outer products give the dimensions of the product of the two matrices.

$(2 \times 3)(3 \times 2) = 2 \times 2$

Therefore the dimensions of the product is a 2×2 matrix.

8 0

3 years ago

Read 2 more answers

What is the degree Celsius temperature of a person with 95 degree Fahrenheit fever

My name is Ann [436]

Answer:

35° Celsius

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can someone help me with this math problem

Elis [28]

Answer:

C. Divide both sides of the equation by -2.

Step-by-step explanation:

The goal of the equation is to isolate x. In order to do that we have to remove the '-2' by doing the inverse operation. That is the opposite operation, for example addition and subtraction, multiplication and division.

Since x is being multiplied by -2, we do the inverse which is division.

5 0

3 years ago

What is the value of x in the equation below?

zubka84 [21]

First you multiply 6(x) then you multiple 6(8)

Your equation should now look like this: 6x-48=72

Subtract 48 from both sides

Your equation should now look like 6x=120

Divide by 6

Answer is 20

7 0

3 years ago

The probability of rain on the last day of July is 95 % . If the probability remains constant for the first seven days of August

8090 [49]

The probability that it rains at most 2 days is 0.00005995233 and the variance is 0.516

<h3>The probability that it rains at most 2 days</h3>

The given parameters are:

Number of days, n = 7
Probability that it rains, p = 95%
Number of days it rains, x = 2 (at most)

The probability that it rains at most 2 days is represented as:

P(x ≤ 2) = P(0) + P(1) + P(2)

Each probability is calculated as:

$P(x) = ^nC_x * p^x * (1 - p)^{n - x}$

So, we have:

$P(0) = ^7C_0 * (92\%)^0 * (1 - 92\%)^{7 - 0} = 0.00000002097$

$P(1) = ^7C_1 * (92\%)^1 * (1 - 92\%)^{7 - 1} = 0.00000168821$

$P(2) = ^7C_2 * (92\%)^2 * (1 - 92\%)^{7 - 2} = 0.00005824315$

So, we have:

P(x ≤ 2) =0.00000002097 + 0.00000168821 + 0.00005824315

P(x ≤ 2) = 0.00005995233

Hence, the probability that it rains at most 2 days is 0.00005995233

This is calculated as:

Mean = np

So, we have:

Mean = 7 * 92%

Evaluate

Mean = 6.44

Hence, the mean is 6.44

<h3>The standard deviation</h3>

This is calculated as:

σ = √np(1 - p)

So, we have:

σ = √7 * 92%(1 - 92%)

Evaluate

σ = 0.718

Hence, the standard deviation is 0.718

<h3>The variance</h3>

We have:

σ = 0.718

Square both sides

σ² = 0.718²

Evaluate

σ² = 0.516

This represents the variance

Hence, the variance is 0.516

Read more about normal distribution at:

brainly.com/question/4079902

#SPJ1

7 0

2 years ago