Answer:
it is a a or b help it helps
Correct Question is:
Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?
1. The graph of h(x) passes the vertical line test.
2. The graph of the inverse of h(x) is a vertical line.
3. The graph of the inverse of h(x) passes the horizontal line test.
4. The graph of h(x) passes the horizontal line test.
Step-by-step explanation:
Answer is Option 2: The graph of the inverse of h(x) is a vertical line.
A given expression in x i.e. y = f(x) will be a function if and only if there exists only one value of y that is true for every value of x. We will do the vertical line test for verification if the inverse of a function is a
If we plot f(x) and draw a straight line parallel to y-axis from a point x belonging to its domain and this line meets the curve at only one point then f(x) will be a function. This test is called vertical line test.
So if the graph of inverse of h(x) passes the vertical line test then the inverse of h(x) is also a function.
A) maximum mean weight of passengers = <span>load limit ÷ number of passengers
</span><span>
maximum mean weight of passengers = 3750 </span>÷ 25 = <span>150lb
</span>B) First, find the z-score:
z = (value - mean) / stdev
= (150 - 199) / 41
= -1.20
We need to find P(z > -1.20) = 1 - P(z < -1.20)
Now, look at a standard normal table to find <span>P(z < -1.20) = 0.11507, therefore:
</span>P(z > -1.20) = 1 - <span>0.11507 = 0.8849
Hence, <span>the probability that the mean weight of 25 randomly selected skiers exceeds 150lb is about 88.5%</span> </span>
C) With only 20 passengers, the new maximum mean weight of passengers = 3750 ÷ 20 = <span>187.5lb
Let's repeat the steps of point B)
z = (187.5 - 199) / 41
= -0.29
P(z > -0.29) = 1 - P(z < -0.29) = 1 - 0.3859 = 0.6141
</span>Hence, <span>the probability that the mean weight of 20 randomly selected skiers exceeds 187.5lb is about 61.4%
D) The mean weight of skiers is 199lb, therefore:
number</span> of passengers = <span>load limit ÷ <span>mean weight of passengers
= 3750 </span></span><span>÷ 199
= 18.8
The new capacity of 20 skiers is safer than 25 skiers, but we cannot consider it safe enough, since the maximum capacity should be of 18 skiers.</span>
Answer:
The 85 term of the arithmetic sequence would be 983
Step-by-step explanation:
Use the formula: an=a1+(n−1)d
an=a1+d(n-1)
a85= -25+(85-1)12
a85= -25+1008
a85=983
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