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Gennadij [26K]
2 years ago
10

Express in scientific notation: 215,000,000    a.2.15x10^8   b.21.5x10^7   c. 215x10^6

Mathematics
1 answer:
DedPeter [7]2 years ago
7 0
2\underbrace{15\ 000\ 000}_{\leftarrow8}=2.15000000\cdot10^8=2.15\cdot10^8\\\\\\Answer:A




scientific\ notation:\ a\cdot10^n\ and\ a\in < 1;\ 10);\ n\in\mathbb{Z}\\\\B.\ 21.5\cdot10^7\to21.5 > 10\\\\C.\ 215\cdot10^6\to215 > 10\\\\D.\ 215\cdot1,000,000\to215 > 10\ and\ no\ 10^n\\\\E.\ 0.215\cdot10^9\to0.215 < 1
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The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a
posledela

Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.2

P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 160}{5.4} = -0.842\\\\x = 155.4532  

Thus,

P_{20}=155.4532

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

7 0
2 years ago
What is the reciprocal of 17 1/2
Aneli [31]

Answer:

2/35

Step-by-step explanation:

If you convert 17 1/2 to a improper fraction, it becomes 35/2. Then to find the reciprocal, flip the numerator and denominator. So, 2/35

Hope this helps!

4 0
1 year ago
Tell whether the ordered pair is a solution to the system.
DerKrebs [107]

Answer:

no

Step-by-step explanation:

no. substitute -1 for x and -2 for y.

the first one is -1 - 10

this equals -11 not 3

7 0
2 years ago
Read 2 more answers
Simplest form of 2/10
slega [8]
To simplify fractions, all you have to do is divide both the numerator and the denominator by the greatest common factor of both integers.

In this case, the greatest common factor of 2 and 10 is 2.

2/2=1
10/2=5

So, 2/10 in its simplest form is 1/5.
3 0
3 years ago
Help #2 #4 #6 #8 #10 #12
GrogVix [38]
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7 0
2 years ago
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