Answer:
h=7.65
Step-by-step explanation:
H is directly proportional to the square root of p;
Let k be the constant of proportionality;
Means h=k√p
This means for corresponding points of h and p such that (h1,p1) and (h2,p2) we have;
h1/√p1=h2/√p2
Let h= 5.4 when p = 1.44 and h when p =2.89 be respectively (h1,p1) and (h2,p2)
So that
5.4/√1.44=h/√2.89
5.4/√1.44 ×√2.89 = h
7.65= h
h=7.65
Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
70 miles , 333.15km , average speed 112 kilometers/hours
Answer: 
Step-by-step explanation:
Given
The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.
Zoe can graze in an area equal to quadrant of circle with radius 10 m
Area of grazing is