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Nitella [24]
3 years ago
15

Find the sum of 3.0478 and 4.92 using the correct number of significant digits.

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

The sum of 3.0478 and 4.92 is 7.9678, which have 5 significant digits.

<u>Step-by-step explanation:</u>

We have , Number1 = 3.0478 and Number2  =4.92 . The significant digits of a number are digits that includes all digits except:

  • All leading zeros. For example, "013" has two significant figures: 1 and 3;
  • Trailing zeros when they are merely placeholders to indicate the scale of the number and  ,
  • Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.

Here Number1 = 3.0478 and with significant digit rules Number2 = 4.9200 . Now, Sum of both numbers = Number1 + Number2

⇒Sum of both numbers = 3.0478 + 4.9200

⇒Sum of both numbers = 7.9678

∴ The sum of 3.0478 and 4.92 is 7.9678, which have 5 significant digits.

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
A plane ride lasted 6.4 hours. how many seconds did the plane ride last
ladessa [460]

1 * 60 * 60 = 3600 (seconds in 1 hour)

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21600 + 1440 = 23040 (6 hours + 0.4 hours)

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8 0
3 years ago
Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

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 of 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

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

By the Central Limit Theorem

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

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0
3 years ago
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Anika [276]
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In a horse race, the odds in favor of the first horse winning in an 8-horse race are 2 to 5. The odds against the second horse w
Nataly_w [17]

The probability that the first horse wins is 2/7. The probability that the second horse wins is 3/10. Since the events that the first horse wins and the second horse wins are shared exclusive, the probability that either the first horse or the second horse will win is :

2/7 + 3/10= 41/70

Hope this is correct.

4 0
3 years ago
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