∠A and ∠B are two supplementary angles such that ∠A= x° and ∠B= (2x+30)°. Find the measure of ∠B.
1 answer:
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Answer:
The standard deviation of weight for this species of cockroaches is 4.62.
Step-by-step explanation:
Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
To find : What is the approximate standard deviation of weight for this species of cockroaches?
Solution :
We have given,
Mean
The sample mean x=55
A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.
i.e. P(X>55)=14%=0.14
The total probability needs to sum up to 1,
The z-score value of 0.86 using z-score table is z=1.08.
Applying z-score formula,
Where, is standard deviation
Substitute the values,
The standard deviation of weight for this species of cockroaches is 4.62.
Answer:
(a variation of) vertex form
Step-by-step explanation:
For vertical scale factor "a" and vertex (h, k), the vertex form of the equation for a parabola can be written as ...
y = a(x -h)^2 +k
If k is subtracted from this equation, an alternate form is ...
y -k = a(x -h)^2
This latter version of vertex form is the form your equation has, where ...
- a = 8
- (h, k) = (-7, -20)
