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natka813 [3]
3 years ago
6

Last year, the world produced 3.5 billon tons of cement and that amount could increase by a billion tons by year 2050. Express t

he amount expected in 2050 in scientific. Notation and then tell me how much larger it is compared to 1.5 times ten to the seventh power
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
5 0

Answer:

4.5 \times 10^{9} tons.

300 times.

Step-by-step explanation:

Last year, the world produced 3.5 billion tons of cement and that amount could increase by a billion tons by the year 2050.

So, the net production of cement by the year 2050 will be (3.5 + 1) = 4.5 billion tons i.e. 4.5 \times 10^{9} tons. (Answer)

Now, this amount is larger than 1.5 \times 10^{7} by \frac{4.5 \times 10^{9} }{1.5 \times 10^{7}} = 300 times. (Answer)

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A

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The product of two numbers with the same sign is positive.

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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 50
Volgvan

Answer:

P(\bar X>530)=1-0.808=0.192

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

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On this case  \bar X \sim N(505,\frac{170}{\sqrt{35}})

2) Calculate the probability

We want this probability:

P(\bar X>530)=1-P(\bar X

The best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X >530)=1-P(Z

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3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
mafiozo [28]
  • Answer:

<em>a = 30°</em>

<em>b = 70°</em>

<em>c = 80°</em>

  • Step-by-step explanation:

<em>Hi there ! </em>

<em />

<em>a ; b ; c = angles</em>

<em>a + b + c = 180°</em>

<em>b + c = 5a</em>

<em><u>replace (b + c)</u></em>

<em>a + (b + c) = 180</em>

<em>a + 5a = 180</em>

<em>6a = 180</em>

<em>a = 30°</em>

<em />

<em>b + c = 180 - a</em>

<em>b + c = 150</em>

<em>c = b + 10</em>

<em><u>replace c</u></em>

<em>b + (b + 10) = 150</em>

<em>2b = 150 - 10</em>

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<em>c = 80°</em>

<em>Good luck !</em>

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