Answer:
There's no negative sign in front of the absolute value so it opens upward. As for the vertex, the x value will be whatever makes what is in the absolute value symbols 0 which is 2.5 in our case and the y-coordinate is 3 so the vertex is (2.5, 3).
The number expressed as a decimal is 0.36
Step-by-step explanation:
First of all, we have to write the ratio between the number of songs from Josiah's favorite band and the total number of songs.
We have:
# of songs of his favorite band = 16
# of total songs = 44
Therefore, the fraction is:

Now we have to express this as a decimal. First of all, we simplify the fraction, by dividing each number by 4, and we get:

Now in order to write this as a decimal, we just use the calculator and we divide 4 by 11, and we get:

which is a periodic number, so we approximate to

Learn more about fractions and decimals here:
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Answer:
<u>2.256 x 10 to the power of 25</u>
Step-by-step explanation:
There are 3.76 x 10 to the power of 22 atoms in 1 gram of oxygen
So, there are x atoms in 600 grams of oxygen
Using the ratio and proportional
So, the number of atoms = 600 * 3.76 x 10 to the power of 22 =

So, the answer in scientific notation as A.BCD x 10 to the power of E
Will be <u>2.256 x 10 to the power of 25</u>
Answer:
Standard deviation of the binomial distribution
= 
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given size 'n' = 800
The population proportion 'p'=0.6
Let 'X' be the random variable of the binomial distribution
a) mean of the binomial distribution = n p = 800 ×0.6
μ = 480
b) variance of the binomial distribution
= n p q
= 800 X 0.6 ×0.4
σ² = 192
Standard deviation of the binomial distribution
σ = 
Combine like terms
Subtract 2 from both sides of the equation
Simplify
Subtract 4 from both sides of the equation
Simplify
Then your answer should be 0=0