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3 years ago

What is the value of x when the Richter scale rating is 6? Round your answer to the nearest hundredth.

Mathematics

1 answer:

gladu [14]3 years ago

4 0

Answer:

The value of x=1000000

Step-by-step explanation:

Using the relation

Rating = log (ratio)

$\log \:_{10}\left(x\right)=6$

then

$x=10^{\log _{10}\left(x\right)}$

$x=10^6$

$x=1000000$

Thus,

The value of x=1000000

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List 5 fractions that are between 1/3 and 4/5

koban [17]

9514 1404 393

Answer:

2/5, 7/15, 8/15, 3/5, 2/3

Step-by-step explanation:

If these fractions are expressed with a common denominator, that would be 3×5 = 15. Then the given fractions are 1/3 = 5/15, and 4/5 = 12/15. The numerators 5 and 12 differ by 7, so we can easily choose 5 fractions in that range:

6/15 = 2/5

7/15

8/15

9/15 = 3/5

10/15 = 2/3

_____

Alternate solutions

There is no requirement for the fractions to be written any particular way or with any particular spacing. The limits in decimal are 1/3 = 0.3333...(repeating) and 4/5 = 0.8. We could choose the decimal fractions ...

0.34, 0.40, 0.50, 0.60, 0.70

0.41, 0.52, 0.63, 0.74, 0.79

7 0

3 years ago

When multiplying a two digit number times a two digit number, why do you add a 0 to the second addend?

Dmitry_Shevchenko [17]

The answer you get will pretty much already have a zero in it ...so thats why

6 0

3 years ago

Read 2 more answers

The graph below shows the number of visitors at a theme park. How many more visitors in total went to the park in June, July and

Olin [163]

From the information given by the graph

Year 1 visitors
June = 9450
July = 9500
August = 9600

Year 2 visitors
June = 9450
July = 9600
August = 9800

Total visitor Year 1 = 9450 + 9500 + 9600 = 28550
Total visitor Year 2 = 9450 + 9600 + 9800 = 28850

Visitor in Year 2 is 28850-28550 = 300 more than visitor in Year 1

8 0

4 years ago

"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s

statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let X = number of consumer's who recognize the brand.

The probability of the random variable X is, P (X) = p = 0.40.

A random sample of size, n = 6 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X = 5) as follows:

$P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369$

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

$P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041$

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

= 0.0369 + 0.0041

= 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0

4 years ago

If 45 mL of H2O are required to mix 100 g of casting plaster, how many milliliters would you need for 250 g of plaster ?

Liono4ka [1.6K]

Answer is 112.5 mL

You add 45 and another 45 to get 90 mL for 200g, and divide 45 by 2 to get 22.5 for the 50g left and you add all up 90+22.5=112.5

6 0

4 years ago