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Katena32 [7]
3 years ago
11

What is the measurement 345.067 mg rounded to four significant digits?

Mathematics
2 answers:
Studentka2010 [4]3 years ago
7 0

significant digits start at the first nonzero number, so 345.067 to four digits is 345.1

The answer is A.

Viktor [21]3 years ago
4 0
<span>count four from the first digit to the fourth one. When you see the fourth one, look at the digit after. if it is 5+ then the fourth digit increases by one. if 5- then it stays the same. 6>5 so 0 becomes 1.

Therefore the answer is 345.1mg</span>
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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.5 years, and standard deviation of
Alina [70]

Answer:

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 5.5, \sigma = 1.2, n = 24, s = \frac{1.2}{\sqrt{24}} = 0.2449

If 24 items are picked at random, 8% of the time their mean life will be less than how many years?

This is the value of X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

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

By the Central Limit Theorem

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

-1.405 = \frac{X - 5.5}{0.2449}

X - 5.5 = -1.405*0.2449

X = 5.156

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

3 0
3 years ago
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creativ13 [48]

Answer:

(1) To make the box seem like a real person with feelings and emotions

(3) To foreshadow what may happen in the future

(4) To describe what Aaliyah is seeing

Step-by-step explanation:

I got the answers right.

3 0
2 years ago
Six less than four times a number is 24<br> written out in numbers
vladimir1956 [14]
Your number is 0, 4x6=24 and six less than six is 0
3 0
3 years ago
Read 2 more answers
The table shows how the time it takes a train to travel between two cities depends on its average speed.
Ivahew [28]

Answer:

y=\frac{160}{x}

Step-by-step explanation:

The table shows how the time it takes a train to travel between two cities depends on its average speed.

function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour

y represents the time

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WE know distance = speed * times

LEts find the distance using the table

distance = 32* 5= 160

40*4= 160

50*3.2 = 160

Time = distance / speed

times is y , distance is 160  and speed is x

y=\frac{160}{x}

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3 years ago
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1904 write if not just subtract 92 from 96 and you have your answer hope that helps
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3 years ago
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