Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge = +
=
Thus,
<CAB = - =
<CBA = - =
Sine rule states;
= =
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
=
=
=
cross multiply,
b =
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
=
=
=
cross multiply,
a =
= 124.8073
Sarge is about 125 feet away from the fire.
Answer:
0.025 ;
(-0.7198 ; 0.7698)
Step-by-step explanation:
From the table :
_____________ private schls ___ public schls
Sample size, n _____ 80 __________ 520
P, NBC teachers ___ 0.175 ________ 0.150
P1 = P of private school teachers
P2 = P of public school teachers
Difference in proportion :
P1 - P12 = 0.175 - 0.150.= 0.025
The 90% confidence interval for 2 - sample proportion :
C.I = (p1-p2) ± [Zcritical * √(p1(1-p1)/n1 + (p2(1-p2)/n2)]
Zcritical at 90% = 1.645
C.I = 0.025 ± [1.645 * √((0.175*0.825)/80 + (0.150*0.850)/520)]
C.I = 0.025 ± [1.645 * √(0.0018046875 + 0.0002451)]
C.I = 0.025 ± 1.645 * 0.0452755
C.I = 0.025 ± 0.07448
C.I = (-0.7198 ; 0.7698)
Answer:
A lizard is an animal but doesn't have fur.
Step-by-step explanation:
A counterexample would be to give an example of an animal that doesn't have fur. So the premise is met: there is a clear example of what one considers an animal, but the animal doesn't have fur.
For example a lizard is clearly an animal, but it doesn't have fur around its body. One needs to just find one example that negates the given statement to make it false.
12 more than the quotient of a number t and 7
is v
12 more than
the quotient of a number t and 7 = v (quotient means to divide)
12 more than t / 7 = v
the second is a negative slope due to the fact the line is going the the left and the ind variable is breakfast dep is performance