Answer:
Option A) Circle.
Step-by-step explanation:
We are given the equation:
![(x - 3)^2 + (y - 12)^2 = 25](https://tex.z-dn.net/?f=%28x%20-%203%29%5E2%20%2B%20%28y%20-%2012%29%5E2%20%3D%2025)
A general equation of the circle is of the form:
![(x-h)^2 + (y-k)^2 = r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%20%2B%20%28y-k%29%5E2%20%3D%20r%5E2)
where (h,k) is the center of the circle and r is the radius of circle.
Comparing the two equations, we get,
![(h,k) = (3,12)\\r = \sqrt{25} = 5](https://tex.z-dn.net/?f=%28h%2Ck%29%20%3D%20%283%2C12%29%5C%5Cr%20%3D%20%5Csqrt%7B25%7D%20%3D%205)
Thus, the given equation is equation of a circle centered at (3,12) and of radius 5 units.
The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.
Given that a card is randomly chosen from 8 cards shown in figure.
We have to calculate the probability of choosing either Q or R when a card is drawn from those 8 cards.
Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.
Number of cards=8
Number of repeated cards=0
Number of cards showing Q and R =1 each.
Probability of getting Q or R is P(X=Q)+P(X=R)
= 1/8+1/8
=2/8
=1/4
=0.25
Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.
Learn more about probability at brainly.com/question/24756209
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Answer:
Step-by-step explanation:
Let x = the number of pepper plants, then (x + 6) = the number of tomato plants. Since the ratio of tomatoes to peppers is 5:2, we have the following:
5/2 = (x + 6)/x
2x + 12 = 5x
12 = 3x
4 = x = the number of pepper plants
Complete Question:
Femi's last 5 bowling scores were 68, 75, 72, 90, and 80. What was Femi's mean score?
Answer:
Step-by-step explanation:
Given
Scores: 68, 75, 72, 90, and 80
Required
Determine the mean
The mean (M) of a data is calculated as thus:
![M = \frac{\sum x}{n}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
Where
n = number of data.
In this case,
n = 5
and
= sum of data
So, the formula becomes
![M = \frac{68 + 75 + 72 + 90 + 80}{5}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B68%20%2B%2075%20%2B%2072%20%2B%2090%20%2B%2080%7D%7B5%7D)
![M = \frac{385}{5}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B385%7D%7B5%7D)
![M = 77](https://tex.z-dn.net/?f=M%20%3D%2077)
<em>Hence, the mean is 77</em>