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vampirchik [111]
3 years ago
12

The critical pressure of carbon dioxide is 72.7 atm what is this value in units of pascals?

Mathematics
1 answer:
Elenna [48]3 years ago
7 0

Answer:

7,366,327.50 pascals

Step-by-step explanation:

we know that

1 atm= 101,325 pascals

we have

72.7 am

Convert to pascals

72.7 atm=72.7*101,325=7,366,327.50 pascals

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7w−(2+w)=2(3w−1)
Llana [10]
Simplify brackets

(7w - 2 - w = 2(3w - 1)

simplify 7w - 2 - w to 6w - 2

(6w - 2 = 2(3w - 1)

Expand

(6w - 2 = 6w - 2)

Since both sides are equal, there are infinitely many solutions

Answer: C) INFINITELY MANY
4 0
3 years ago
Read 2 more answers
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your ans
Alenkinab [10]

Answer:

a) 0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

b) 0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

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 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 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.

In this problem, we have that:

\mu = 50, \sigma = 1.8

(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 17 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{17}} = 0.4366

This probability is 1 subtracted by the pvalue of Z when X = 51. So

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

By the Central Limit Theorem

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

Z = \frac{51 - 50}{0.4366}

Z = 2.29

Z = 2.29 has a pvalue of 0.9890

1 - 0.989 = 0.011

0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{45}} = 0.2683

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

Z = \frac{51 - 50}{0.0.2683}

Z = 3.73

Z = 3.73 has a pvalue of 0.9999

1 - 0.9999 = 0.0001

0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

8 0
3 years ago
If the starting time is 7:43 and the elapsed time is 36 minutes then what time what is the ending time
Annette [7]

Answer:

8:19

Step-by-step explanation:

It is 17 minutes until 8:00.  36 - 17 = 19 minutes left.

8:00 + 19 minutes = 8:19

6 0
3 years ago
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A rectangle has a perimeter of 48 cm and a width of 6 cm. Use the formula P=2ℓ+2w to find the length.
Vinil7 [7]

Answer:the length is equal to 18. 2l+2w= 12+?=48. 48-12=36, 36/2=18

Step-by-step explanation:

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Aaron runs a distance of 7.2km in the SE direction. How far east has Aaron run? Answer correct to one decimal point
timofeeve [1]

Step-by-step explanation:

cos 45° = distance to east / total distance=7,2

distance to east = cos 45° * 7,2 = 5,1 km

5 0
2 years ago
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