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Sever21 [200]
3 years ago
13

What is the value of x when the Richter scale rating is 7.9 round your answer to the nearest

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0
If no base is stated, then assume base 10
log(x)=log_{10}(x)
rememer
a=log_b(c) translates to b^a=c


so
r=log(x) or
r=log_{10}(x) translates to 10^r=x

so when r=7.9, what is x
10^r=x
10^{7.9}=x
79432823.472428=x
round to nearest ???
thousanth? 79432823.472=x
hundreth? 79432823.47=x
tenth? 79432823.5=x
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HELP PLEASE!!!!! OFFERING MANY POINTS!
IrinaK [193]

x + 8 + 45 = 56

3 0
3 years ago
If a normally distributed population has a mean (mu) that equals 100 with a standard deviation (sigma) of 18, what will be the c
garik1379 [7]

Answer:

Z = 1

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean (mu) that equals 100 with a standard deviation (sigma) of 18

\mu = 100, \sigma = 18

Sample of 9:

This means that n = 9, s = \frac{18}{\sqrt{9}} = 6

What will be the computed z-score with a sample mean (x-bar) of 106?

This is Z when X = 106. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{106 - 100}{6}

Z = 1

So Z = 1 is the answer.

7 0
3 years ago
Write an equation parallel to x - 2y = 4 that passes through the point (-8, 2).
castortr0y [4]

Answer:

y=1/2x+6

Step-by-step explanation:

Change to slope intercept form: y=1/2x-2

Take out the b term

Plug in point (-8, 2)

Get b as 6

Plug in b

Get y=1/2x+6

7 0
2 years ago
Please can someone help me on this I’m trying to revise for my test and I don’t understand this question
docker41 [41]

Answer:

∠ EAB = 85°

Step-by-step explanation:

∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so

∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°

the sum of the 3 angles in Δ ADC = 180° , that is

∠ EDC + ∠ BCD + ∠ EAB = 180°

63° + 32° + ∠ EAB = 180°

95° + ∠ EAB = 180° ( subtract 95° from both sides )

∠ EAB = 85°

5 0
2 years ago
Read 2 more answers
Which ordered pair (a, b) is the solution to the following system of equations?
Kamila [148]

Answer:

  (-13, -4)

Step-by-step explanation:

It is about as easy to try the solutions as it is to find them from scratch.

__

However, we can determine which one it is by adding twice the second equation to the first.

  (-2a +3b) +2(a -4b) = (14) +2(3)

  -5b = 20

  b = -4 . . . . . . matches the first choice

8 0
3 years ago
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