Let "x" represent the number of units
5x = the number of tomato plants in Inessa's garden
6x = the number of tomato plants in Ralph's garden
the question says that half (1/2 x (5x)) of Inessa's tomato plants are taken from her garden and put into Ralph's garden
this means that Ralph has a total of 850 tomato plants in his garden
using all of this information, we get the following (which we have to solve):
(1/2)(5x) + 6x = 850
when we solve for "x", we find that:
"x" = 100
so, going back to the original statement, if Ralph started out with (6x) tomato plants, and "x" = 100, we have to multiply 6 by 100
doing so gives us our final answer:
Ralph had 600 tomato plants in the beginning
Answer:
5/6
Step-by-step explanation:
1/3 = 2/6
1/2 = 3/6
2/6+3/6= 5/6
Theorem
The measure of an exterior angle of a triangle equals the sum of measures of the remote interior angles.
Angle STV is an exterior angle of triangle SRT.
The two remote interior angles to exterior angle STV are angles S and R.
Since the triangle is isosceles, with sides ST and TR equal, angles S and R are equal, so they both measure 27 deg.
<STV = 27 + 27
<STV = 54
Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.
For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 70% of fatalities involve an intoxicated driver, hence .
- A sample of 15 fatalities is taken, hence .
The probability is:
Hence
Then:
0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.
A similar problem is given at brainly.com/question/24863377
Answer:
The answer is 6!
Step-by-step explanation: