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fredd [130]
3 years ago
14

Express 78 billion in scientific notation

Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Answer:

7.8 * 10^{10} is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

a * 10^{b} -------->(equation 1)

Let,  a^{'} = 78 billion

a^{'} = 78000000000

a^{'} = 78000000000.0

In standard form

a = 7.8000000000

or

a = 7.8

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

7.8 * 10^{10} is scientific notation of 78 billion

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Choose the fraction that is greater than 3/18٫is less than 50/100٫and has 9 as its denominator
erik [133]

Answer:

4/9

Step-by-step explanation:

  • The denominator is the bottom value of a fraction, therefore we can discount 9/2
  • 1/9 = 2/18.  2/18 is smaller than 3/18 so we can discount 1/9
  • 50/100 = 0.5
    5/9 = 0.55555...
    0.55555... is greatest than 0.5, therefore we can discount 5/9
  • Answer is 4/9

8 0
2 years ago
In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of
goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

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.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when X = 671, \mu = 509, \sigma = 115. So

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

Z = \frac{671 - 509}{115}

Z = 1.41

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when X = 24, \mu = 21.1, \sigma = 5.3

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

Z = \frac{24 - 21.1}{5.3}

Z = 0.55

Jonathan's standardized score is 0.55.

Due to the higher z-score, Iddona's has a higher score.

5 0
2 years ago
Can someone pls help me
Verizon [17]

Answer:

i think the answer is \frac{x}{2.1} \leq 4

Step-by-step explanation:

7 0
3 years ago
10 POINTS Math unit 5.11! PLEASE HELP
agasfer [191]

To write the function to show the weekly growth rate of population , we first find the weekly growth rate by dividing yearly growth rate by 52 ( as there are 52 weeks in an year)

Given function is ,

P=120(1.016)^t

or

P=120(1+0.016)^t

To convert in weekly growth rate , divide 0.016 by 52

So formula for weekly growth rate of population is

P=120(1+ \frac{0.016}{52})^{52t}

or

P=120(1+ \frac{1}{3250})^{52t}

And the weekly growth rate = \frac{1}{3250}

7 0
3 years ago
Xác suất xảy ra môt sự kiện là 0.3. Xác suất để sự kiện đó không xảy ra là?
hodyreva [135]

Câu trả lời:

0,7

Giải thích từng bước:

Xác suất để một sự kiện xảy ra = 0,3

Cho sự kiện = A

P (A) = 0,3

Xác suất mà sự kiện không xảy ra có thể thu được bằng cách sử dụng quy tắc bổ sung;

P (A ') = 1 - P (A)

Vì thế,

P (A ') = 1 - 0,3 = 0,7

3 0
2 years ago
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