Answer:
Y = 1/4x + 1/2
Step-by-step explanation:
The inverse is found by reflecting the graph across the y=x line. In the equation, this result by switching x and y then solving for y.
Y =4x-2
X=4y-2
X+2=4y
(X+2)/4= y
1/4x +1/2 =y
Answer:
a) A. Grouped and C. Discrete
b) 0<t≤2
c) 15%
Step-by-step explanation:
Explanation for b):
11 40 <u>53</u> 95 141
The group of 0<t≤2 contains the median.
Explanation for c):
11+40+53+95+141= 340
11+40=51
51/340= .15= 15%
Answer:
a) 0.997 is the probability that the breaking strength is at least 772 newtons.
b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 800 newtons
Standard Deviation, σ = 10 newtons
We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.
Formula:
a) P( breaking strength of at least 772 newtons)
Calculation the value from standard normal z table, we have,
0.997 is the probability that the breaking strength is at least 772 newtons.
b) P( breaking strength of at least 772 but not more than 820)
0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.
Answers:
Domain =
Range =
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Explanation:
The domain is the set of allowed x value inputs. We note that the left-most point is when x = -5, and this point has a closed or filled in endpoint, so we're including this x value in the domain.
The left piece has its other endpoint at x = -2, so the interval is part of the domain. We write that as is part of the domain's answer. The other part is . We include x = 1 but exclude x = 5 as there's a hole here.
Use the union symbol to glue the two intervals together and we end up with as the full domain.
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The range is the set of possible y values. The lowest point is when y = -4, but we exclude this endpoint since there's an open hole here. The highest point is when y = 4. The range is which we write as
Since there are no gaps in the range, we don't use any union symbols here. Any y value between -4 and 4 is possible, other than y = -4 itself.