Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
The number of more miles he needs to run to complete the race is 19 miles.
<h3 /><h3>How to find distance in miles?</h3>
He has run 7 miles from point a to point b of a race.
The entire race from point a to point c is 26 miles.
Therefore, the number of more miles he needs to run to complete the race is as follows:
let
x = the more miles he needs to run
Hence,
x = 26 - 7
x = 19 miles
Therefore, he needs to run 19 more miles to complete the race.
learn more on distance(miles) here: brainly.com/question/9950097
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The full answer would be 83.454 but you can just say 83 pounds. Both are right
Answer:
a) 16%
b) 2.5%
Step-by-step explanation:
a)
The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).
To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%
b)
The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).
You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%
