<span>Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.
Given

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have

Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.
Therefore, </span><span>

in standard notation is

</span>
Answer:
,
Explanation:2√2 sin(q) + 2 = 0
2√2 sin(q) = -2
sin(q) =

sin(q) =

Now, we know that:
sin (45) =

From the ASTC rule, we know that the sine function is negative in the third and fourth quadrant.
This means that:
either q = 90 + 45 = 135° which is equivalent to

or q = 270 + 45 = 315° which is equivalent to

Hope this helps :)
The answer is 15% have a good day
Step-by-step explanation:
In statistics, the empirical rule states that for a normally distributed random variable,
- 68.27% of the data lies within one standard deviation of the mean.
- 95.45% of the data lies within two standard deviations of the mean.
- 99.73% of the data lies within three standard deviations of the mean.
In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

where the symbol
(the uppercase greek alphabet phi) is the cumulative density function of the normal distribution,
is the mean and
is the standard deviation of the normal distribution defined as
.
According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution
,

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.