Answer:
0.0143 = 1.43% probability that first 4 digits of the code are even numbers.
Step-by-step explanation:
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
Probability:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Desired outcomes:
First four digits are even(2, 4, 6 and 8 are even, so arrangements of 4 elements).
Last four digits are odd(1, 3, 5 and 7 are odd, so the last four elements are also arrangements of 4 elements). So
Total outcomes:
Arrangements of 8 digits. So
Probability:
0.0143 = 1.43% probability that first 4 digits of the code are even numbers.
We know that
[surface area ]=2*[area of the base]+[perimeter of the base]*height
area of the base=10*8.7/2-----> 43.5 cm²
perimeter of the base=10*3----> 30 cm
height of the prism=15 cm
[surface area ]=2*[43.5]+[30]*15------->537 cm²
the answer is
<span>the approximate surface area of the prism is 537 cm</span>²
Answer:
After 2.9 years the town's tax status will change
The towns tax status change within the next 3 years
Step-by-step explanation:
The question below is
Will the towns tax status change within the next 3 years ?
Let
y -----> the population of a small town
t ----> the number of years
we have a exponential function of the form
where
a is the initial value
b is the base
In this problem
substitute
Remember that
The town's tax status will change once the population is below 6,000 people
so
The inequality that represent this situation is
Solve for t
Apply log both sides
Multiply by -1 both sides
so
After 2.9 years the town's tax status will change
therefore
The answer is
Yes, the towns tax status change within the next 3 years
Formula:
Total hours ÷ hour per day
14 ÷ 3.5 = 4.
The answer is 4.
He commuted 4 days for the city.
The best way to randomly choose the 100 families would be to allow a random number generator to come up with 100 families within a 50 radius of the amusement park.
Using this method would ensure that it is more randomised & not limited to people who come at a specific time or are in a specific area as well as it not be affected by subconscious bias of people when selecting people to survey.
