Answer:
Check the explanation
Step-by-step explanation:
Let
be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.
For any sequence of length 19, the starting coin can be from toss i ,
such that i is between 1 and n - 19+1
Thus the number of such sequences is
Kindly check the attached image below for the step by step explanation to the question above.
The recipe is for 4 pancakes.
She needs to make 60 pancakes.
60/4 = 15
She needs to make 15 times the recipe.
The recipe calls for 1/3 cup of mix, so she needs 15 times that amount.
15 * 1/3 = 15/1 * 1/3 = 15/3 = 5
Answer: She needs 5 cups of mix.
The correct question is
Using the graph of f(x) = log2x below, approximate the value of y in the equation 2^(2y) = 5
we have
2^(2y) = 5--------------> applying base 2 logarithm both members
2y*log2(2)=log2(5)
log2(2)=1
then
2y=log2(5)
y=[log2(5)]/2
using the graph
for x=5 the approximate value of log2(5) is 2.3
see the attached figure
so
y=[log2(5)]/2--------> y=[2.3]/2----------> y=1.15
the answer is
the approximate value of y is 1.15