Answer:
- There are six tomato plants.
- June has thirty days.
- Each tomato plant requires one quart of water for thirty days.
- 4 quarts equals one gallon of water.
- We have to convert the number of quarts into the number of gallons at the end.
Step-by-step explanation:
6 tomato plants mean six quarts of water.
Six quarts of water to be used for thirty days.
6 x 30 = 180 quarts of water
Now we have to convert the number of quarts into amounts of gallons.
We divide 180 by 4 because four quarts equal one gallon of water.
ANSWER: 45 gallons of water
Using conditional probability, it is found that the probability a person who tests positive actually has the disease is 0.087 = 8.7%.
<h3>What is Conditional Probability?</h3>
Conditional probability is the probability of one event happening, considering a previous event. The formula is:

In which:
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
For this problem, the events are given as follows:
- Event B: Person has the disease.
The percentages associated with a positive test is:
- 95% of 0.5%(person has the disease).
- 5% of 99.5%(person does not have the disease).
Hence:
P(A) = 0.95 x 0.005 + 0.05 x 0.995 = 0.0545.
The probability of both a positive test and having the disease is:

Hence the conditional probability is:
P(B|A) = 0.00475/0.0545 = 0.087.
The probability a person who tests positive actually has the disease is 0.087 = 8.7%.
More can be learned about conditional probability at brainly.com/question/14398287
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Answer:
(3x + 2)(9x^2 - 6x + 4)
Step-by-step explanation:
Simple Question.
27x^3 + 8 = (3x)^3 + (2)^3
You can now apply the sum of the cubes formula:
x^3 + y^3 = (x + y)(x^2 - xy + y^2),
(3x)^3 + (2)^3 = (3x + 2)(3^2x^2 - 2*3x + 2^2)
= (3x + 2)(9x^2 - 6x + 4)
Solution: (3x + 2)(9x^2 - 6x + 4)
Answer:
For this case we want to test if there is a higher incidence of smoking among women than among men in a neighborhood (alternative hypothesis). And we define p1 for men and p2 for women, so for this case the best system of hypothesis are:
Null hypothesis:
Alternative hypothesis: 
And the best option would be:
a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if there is a higher incidence of smoking among women than among men in a neighborhood (alternative hypothesis). And we define p1 for men and p2 for women, so for this case the best system of hypothesis are:
Null hypothesis:
Alternative hypothesis: 
And the best option would be:
a) h0: p1-p2 ≥ 0 h1: p1-p2 < 0
Answer:
Proportionality constant = 
Step-by-step explanation:
Let y ∝ x
y = kx
Here, k = proportionality constant
From the table attached,
If x = 2 and y = 3,
3 = 2k
k = 
If x = 4 and y = 6,
6 = 4k
k = 
k = 
Since, k =
is constant in every condition, table represents the proportional relation with proportionality constant
.