Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4
Answer:
C.I = 0.7608 ≤ p ≤ 0.8392
Step-by-step explanation:
Given that:
Let consider a random sample n = 400 candidates where 320 residents indicated that they voted for Obama
probability 
= 0.8
Level of significance ∝ = 100 -95%
= 5%
= 0.05
The objective is to develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.
The confidence internal can be computed as:
where;
= 
= 1.960
SO;
= 0.8 - 0.0392 OR 0.8 + 0.0392
= 0.7608 OR 0.8392
Thus; C.I = 0.7608 ≤ p ≤ 0.8392
Answer:
t = 17.3
Step-by-step explanation:
The following data were obtained from the question:
Angle T = 87°
Opposite T = t =?
Opposite V = v = 14
Opposite U = u = 11
The value of t can be obtained by using cosine rule formula as shown below:
t² = v² + u² – 2vu CosT
t² = 14² + 11² – 2 × 14 × 11 × Cos87°
t² = 196 + 121 – 308 × Cos87°
t² = 317 – 16.119
t² = 300.881
Take the square root of both side
t = √300.881
t = 17.3
Therefore, the value of t is 17.3
Answer: 8 days
Step-by-step explanation:
6 miles has been paved already.
Number of miles left = 30 - 6
= 24 miles
If they are paving at 3 miles a day, the days they will take to finish is:
= 24/3
= 8 days
Answer:
15
Step-by-step explanation:
18-x=3
18-3=x
18-3=15
