24 / 4 = 6
6 x 9 = 54
there will be 54 catfish
Answer: 27 rows contain 25 vines.
Step-by-step explanation:
Let x represent the number of rows that contain 20 vines.
Let y represent the number of rows that contain 25 vines.
Sarah plants 760 vines in rows containing either 20 vines or 25 vines. This means that
20x + 25y = 760- - - - - - - - - - -1
There are 3 times as many rows containing 25 vines as there are rows containing 20 vines. This means that
y = 3x
Substituting y = 3x into equation 1, it becomes
20x + 25 × 3x = 760
20x + 75x = 760
95x = 760
x = 760/95
x = 9
y = 3x = 3 × 9
y = 27
Answer:
There is a 9.6% probability that a person is diagnosed as having cancer.
Step-by-step explanation:
In this problem, we have these following probabilities:
A 5% probability that an adult over 40 has cancer.
This also means that:
There is a 95% probability that an adult over 40 does not have cancer. (Since either the adult has cancer or does not have cancer, and the sum of the probabilities is 100%).
A 78% probability of a person that has cancer being diagnosed,
A 6% probability of a person that does not have cancer being diagnosed.
What is the probability that a person is diagnosed as having cancer?
![P = P_{1} + P_{2}](https://tex.z-dn.net/?f=P%20%3D%20P_%7B1%7D%20%2B%20P_%7B2%7D)
is the probability of those who have cancer being diagnosed. So it is 78% of 5%. So
![P_{1} = 0.05*0.78 = 0.039](https://tex.z-dn.net/?f=P_%7B1%7D%20%3D%200.05%2A0.78%20%3D%200.039)
is the probability of those who do not have cancer being diagnosed. So it is 6% of 95%. So
![P_{1} = 0.06*0.95 = 0.057](https://tex.z-dn.net/?f=P_%7B1%7D%20%3D%200.06%2A0.95%20%3D%200.057)
So
![P = P_{1} + P_{2} = 0.039 + 0.057 = 0.096](https://tex.z-dn.net/?f=P%20%3D%20P_%7B1%7D%20%2B%20P_%7B2%7D%20%3D%200.039%20%2B%200.057%20%3D%200.096)
There is a 9.6% probability that a person is diagnosed as having cancer.
Answer:
1.40
Step-by-step explanation:
Last week, the price of oranges at the farmers market was 1.75
This week, the price has reduced by 20%
20% of 1.75 = 0.2 × 1.75 = 0.35
The price of the oranges this week is 1.75 - 0.35 = 1.40
Your answer is 400,000.
Hope this helps!