Answer:
11.4018 meters
Step-by-step explanation:
The ladder, wall and floor together form a right triangle with the length of the ladder being the hypotenuse, the distance of the foot of the ladder from the wall being one of the shorter sides and the distance between the top of the ladder and the floor being the other side
We can use the Pythagorean theorem to solve for the hypotenuse given the two sides
The general formula is:
where c is the hypotenuse and a and b the other two sides
Substituting a = 7 and b = 9 gives:
So length of ladder = 11.4018 meters
Answer: Vertex : Maximum (2, 0)
Rules:
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
Answer:
(a) See Explanation
(b) and
(c) The shape is normal
(d)
Step-by-step explanation:
Given
-- mean
--- standard deviation
--- sample size
Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.
The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.
Hence, the probability cannot be calculated.
Solving (b): Sample mean and Sample standard deviation
The sample mean estimates the population mean
So:
The sample standard deviation is calculated as thus:
Solving (c): The shape of the distribution.
We have:
--- The sample size
According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.
<em>Hence, the shape is normal</em>
Solving (d):
Calculate the test statistic (t)
So:
Referencing the z table, we have:
Hence: