The points (-6, r) and (6,3) lie on a line with slope 3/4. Find the missing coordinate r.
1 answer:
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Answer:
Step-by-step explanation:
Alright, lets get started.
When two secants intersects outside a circle then the measure of the angle formed is half of the positive difference of the measures of the intercepted arcs. (Please refer the diagram I have attached)
Hence the measure of ∠1 is :
∠1=
∠1=
hence the answer is 35°. : Answer
Hope it will help :)
Answer:
There are 118 plants that weight between 13 and 16 pounds
Step-by-step explanation:
For any normal random variable X with mean μ and standard deviation σ : X ~ Normal(μ, σ)
This can be translated into standard normal units by :
Let X be the weight of the plant
X ~ Normal( 15 , 1.75 )
To find : P( 13 < X < 16 )
= P( -1.142857 < Z < 0.5714286 )
= P( Z < 0.5714286 ) - P( Z < -1.142857 )
= 0.7161454 - 0.1265490
= 0.5895965
So, the probability that any one of the plants weights between 13 and 16 pounds is 0.5895965
Hence, The expected number of plants out of 200 that will weight between 13 and 16 = 0.5895965 × 200
= 117.9193
Therefore, There are 118 plants that weight between 13 and 16 pounds.