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.
Answer:
Not a function
Step-by-step explanation:
Y values can repeat in a function but domain cannot. 3 is repeated twice, thus these values do not represent a function.
Answer:
1/2 ornament in an hour
Step-by-step explanation:
Given


Required
Determine the ornaments per hour
This question implies that we calculate the unit rate.

Substitute values for Time and number of ornaments


<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>
P=98 m
l +9=4w
p=2l+2w
98=2(4w-9) +2w
98 = 8w-18+2w
116=10w
w=11,6 m
l = 4w-9 = 4*11,6 -9 = 46,4 -9 = 37,4 m
w=11,6 m
l= 37,4 m
Answer:
The number is 8.
Step-by-step explanation:
Rewrite the word problem as an equation.
The sum of (we will be adding.), half of a number (we can use x, this will be written as x/2.) and double the number (this will be written as 2x) is 20.
To find the number, solve the equation.
x/2 + 2x = 20
Multiply both sides by 2.
x + 4x = 40
Combine terms.
5x = 40
Divide both sides.
x = 8.