Given:
For every 3 seeds Lara planted, only 2 seeds grew.
Altogether, 12 seeds grew.
To find:
The number of total seeds planted by Lara.
Solution:
It is given that for every 3 seeds Lara planted, only 2 seeds grew. It means the ratio of total seeds planted to seeds grew is 3:2.
Altogether, 12 seeds grew.
Let x be the number of total seeds planted by Lara. Then,
Therefore, the total number of seeds planter by Lara is 18.
Answer:
Volume = 35185.8
Step-by-step explanation:
Recall the formula for the volume of a cone:
Where R is the radius of the cone's circular base (in your case half of 80 km,(that is 40 km)
And h stands for the height of the cone (in your case 21 km)
We replace such in the formula and calculate its final value:
We round it to the number of decimals your problem request (let's say to one decimal) and also include the cubic units:
Volume = 35185.8
Answer:
88.58% probability that at least one person from each political party will be chosen
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Also, the order which the people are chosen is not important. So the combinations formula is used to solve this problem.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
If four people are chosen at random to be on a committee, what is the probability that at least one person from each political party will be chosen?
Either only Republicans or Democrats are chosen, or at least one member from each party is chosen. The sum of these probabilities is 100%.
The easier way to solve this is first finding the probability that members are only from one party.
Probability of having members from only one party:
Desired outcomes:
Only Democrats:
4 from a set of 25.
Only Republican:
4 from a set of 21.
So
Total outcomes:
4 from 21+25 = 46 total members
Probability:
11.42% probability of having people from only one party in the committee
Probability of at least one person from each party:
p + 11.42 = 100
p = 88.58
88.58% probability that at least one person from each political party will be chosen
