Answer:
Speed of hike = 1.7 miles per hour
Step-by-step explanation:
Given:
Total distance = 8 miles
Distance already traveled = 4.6 miles
Total time remain to travel = 2 hour
Find:
Speed of hike
Computation:
Distance remain = Total distance - Distance already traveled
Distance remain = 8 miles - 4.6 miles
Distance remain = 3.4 miles
Speed of hike = Distance remain / Total time remain to travel
Speed of hike = 3.4 / 2
Speed of hike = 1.7 miles per hour
Answer:
C. 40
Step-by-step explanation:
The smallest factor of 119 (other than 1) is 7.
28/7 = 4,
35/7 = 5,
40/7 = 5 5/7
63/7 = 9
So it is 40
Answer:
Step-by-step explanation:
for the cylinder
27π = πr²h = πr²(2r) = 2πr³
for the sphere
V = (4/3)πr² = (2/3)(2πr³) = (2/3)27π
Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
Answer:
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.
Step-by-step explanation:
Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.
It found that 368 of the Indians and 130 Asians listened to rap music every day.
Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.
Alternative hypothesis:- 
Level of significance α = 0.05
The test of statistic
where 
p = 0.414
and q = 1-p = 1- 0.414 =0.586
on calculation , we get
z = 0.300 ><1.96 at 95 % level of significance
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap every day.
