We calculate both velocities:
upstream 8 miles in 2 hours = 4 miles / hour
downstream 8 miles in 1 hour = 8 miles / hour
ps -stream speed = 4 mph
ps + stream speed = 8 mph
Adding both equations
2 ps = 12 mph
paddling speed = 6 mph
stream speed = 2 mph
See the attached picture to better understand the problem
we know that
in rectangle ABCD
AB=CD
and
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units
the answer part a) isBD= 8 unitsPart b) Find angle CBD
we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°
the answer Part b) is∠CBD=23 degrees
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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.
Answer:
a. 0.8727rad
b. 5.585rad
that should be correct, if not, i apologize T_T