Answer:
A. Move the decimal point to the left
Step-by-step explanation:
Given that:
The scientific notation = 10⁻¹⁰
Let recall;
That the standard notation usually took the form of an inverse:
For example;
Let say 10⁻¹ will be in scientific notation;
SO,
Now; we are given 10⁻¹⁰ as a scientific notation,
To standard notation, we get:
= 0.01
Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is -10.
Answer:
720
Step-by-step explanation:
If every person has to choose a different character, the first person to choose a character has 6 options, the second has 5, the third has 4, the fourth has 3, and the last person has only two options. Therefore, the total number of ways you can do this if all 5 people dress up as a different character is:
There are 720 ways.
Answer:
a)
b)
c)
d)
And the dsitribution that satisfy this is
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
Part b
The expected value is givn by:
Part c
For the standard deviation we have this:
Part d
For this case the sample size needs to be higher or equal to 9. Since we need a value such that:
And the dsitribution that satisfy this is
We can verify this using the following code:
"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.