The only correct answer would be A because of the following reasons
1. Sin is defined as opposite/hypotenuse
2. Cos is defined as adjacent/hypotenuse
Log₄(2 – x) = log₄(–5x – 18).
Since the logs have the same basis (4) & are equal then:
(2 – x) = (–5x – 18). . Now solve for x & you will find x = -5
Answer:
greatest number of people: 6760
lowest number of people: 6240
Step-by-step explanation:
4% of 6500 is 260
6500 + 260 = 6760
6500 - 260 = 6240
Answer:
DC = 10.93 cm , AC = 9.8 cm
Step-by-step explanation:
From trigonometry;
⇒ Tan 60 = AB/BD
⇒AB = BD Tan 60 ( where BD = 4 cm )
⇒ AB = 6.93 cm
Also, AB=BC , therefore;
⇒ BC = 6.93 cm
⇒ Cos 60 = BD/AD
⇒ AD = BD/ Cos 60 = 4/Cos 60
⇒ AD = 8 cm
From Pythagoras theorem;
⇒
=
+
=
+ 
⇒ AC =
= 9.80 cm
⇒ DC = BD + BC = 4 + 6.93
⇒ DC = 10.93 cm
Answer:
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 108
Sample mean,
= 107
Sample size, n = 110
Alpha, α = 0.02
Population standard deviation, σ = 7
Formula:
Putting all the values, we have

The test statistic is -1.50