2.96 meters per second is the answer I'm getting. I took the total seconds and divided it by how many times he ran around the track to get his speed for lap and then I divided his lap speed by how long the track was to get his meters per second
Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z = 
on substituting the respective values, we get
Z = 
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is
i.e 
Now from standard normal table
= -1.96
Answer:
2,592 square cm.
Step-by-step explanation:
It is given that the dimensions of rectangle A are four times the dimensions of rectangle B.
Let dimensions of rectangle B are l×b.
So, the dimensions of rectangle A are 4l×4b.
Area of rectangle is
Area of rectangle B is
The area of rectangle B is 162 square cm.
Area of rectangle A is
Therefore, the area of rectangle A is 2,592 square cm.
to get the equation of any straight line, all we need is two points from it, Check the picture below, let's use those two.


the probability that more than 87 students will pass their college placement exam is 0.9616.