They will collide in 10 seconds. The combined speed at which they approach one another is 59 + 41 = 100 km per second. Using the formula for velocity, which is distance over time, we can rearrange the formula to time = distance / velocity. Thus, time = 1000 / 100 = 10 seconds.
Answer: The total vertical distance traveled when going up and down the entire 15-step staircase amounts to 494 feet.
Step-by-step explanation:
Given that
The total number of stairs in a staircase is 15
Vertical distance between each stair for the first 10 stairs = 113 feet
Vertical distance between each stair for the last 5 stairs = 134 feet
The total vertical distance traveled when ascending the entire 15-step staircase is calculated as
Thus, the total vertical space traveled up and down the entire 15-step staircase amounts to 494 feet.
x = 6y. Step-by-step explanation: x = 3z and z=2y. By substituting the second equation into the first, we have x = 3 (2y), leading to x = 6y.
To tackle this issue, we need to utilize the t statistic. This requires calculating the t score first and then consulting standard distribution tables to find the corresponding p value based on the obtained t score.
The formula for calculating the t score is:
t = (x – μ) / (σ / sqrt(n))
Where,
x = sample mean = 40
n = number of sample subjects = 16
s = standard deviation = 20
μ = Population Mean = 30
Plugging in the known values:
t = (40 – 30) / (20 / sqrt 16)
t = 10 / 5
t = 2
Utilizing the standard distribution tables and calculating the degrees of freedom, which is n – 1 = 15, we then find:
p = 0.032
Assuming that every material in their respective categories has an equal likelihood of selection.
Categories:
(a) Wood types for cabinets: birch, maple, cherry.
Each wood type has a selection probability of 1/3.
(b) Finish types: transparent, semi-transparent.
Each finish type has a 1/2 chance of being selected.
(c) Knob types: bronze, steel, wood.
Each knob material carries a probability of 1/3.
The selection of materials for the cabinet, finish, and knobs is independent of one another.
Consequently,
Probability(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
Probability(wood knob) = 1/3
Probability(transparent stain) = 1/2
Probability(cherry wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6
