Answer:
The ladder is 4.86 foot from the base of the wall .
Step-by-step explanation:
Given as :
The length of the ladder = 28 ft
The ladder makes angle of 80° with the ground
Let The distance of the ladder from the foot of the wall = x ft
Now, From Triangle BAC
Cos angle =
I.e Cos 80° =
Or, 0.1736 =
Or, x = 0.1736 × 28
∴ x = 4.86 foot
So, The distance of ladder from wall base = x = 4.86 foot
Hence The ladder is 4.86 foot from the base of the wall . Answer
Answer:
We conclude that the mean wedding cost is less than $30,000 as advertised.
Step-by-step explanation:
We are given the following data set:(in thousands)
29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 3408750
Population mean, μ = $30,000
Sample mean, = $29512.5
Sample size, n = 8
Alpha, α = 0.05
Sample standard deviation, s = $ 697.82
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to accept the null hypothesis and reject it.
We conclude that the mean wedding cost is less than $30,000 as advertised.