Answer:
The number of houses on Algebra Avenue are 76 houses
Step-by-step explanation:
The given information are;
Buildings on Algebra Avenue in Mathpolis = 2 or 3 stories high
Total number of stories = 95 + Total number of houses
The number of two-story houses = 3× The number of three-story houses
Let the number of three-story houses = X
Therefore, the number of two-story houses = 3 × X
Total number of stories = 3×X + 2×3×X = 9·X
The total number of houses = X + 3 × X = 4·X
Given that, the total number of stories = 95 + Total number of houses, we have;
9·X = 95 + 4·X
9·X - 4·X = 95
5·X = 95
X = 95/5 = 19
X = 19
The total number of houses = 4·X
Therefore, the total number of houses = 4 × 19 = 76 Houses.
Answer:
Step 1: Take the absolute value of each number. Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value. Step 3: Copy the sign of the number with the bigger or larger absolute value.
Step-by-step explanation:
Answer:
9/8
Step-by-step explanation:
my work is in the picture. lmk if you'd like me to explain more
Answer:
=14237.90
Step-by-step explanation:
13000*1.023^4=14237.89832
=14237.90
Answer:
There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.
Step-by-step explanation:
For each teenager, there are only two possible outcomes. Either they watched a rented video at least once during a week, or they did not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. This means that
.
What is the probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week?
Group of 7, so
.
.
In which




So
.
There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.