Answer:
22
Step-by-step explanation:
Answer:
The probability is 0.022
Step-by-step explanation:
Firstly, we need to get the total number of balls in the urn
mathematically, we have this as ;
8 + 9 = 17
now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls
Mathematically, we have this as 9/17
Now, since the event is carried out with replacement, the probability for the six times is the same
So, we have the probability as;
(9/17)^6 = 0.022
Answer:
The point C is 12.68 km away from the point A on a bearing of S23.23°W.
Step-by-step explanation:
Given that AB is 50 km and BC is 40 km as shown in the figure.
From the figure, the length of x-component of AC = |AB sin 80° - BC cos 20°|
=|50 sin 80° - 40 cos 20°|=11.65 km
The length of y-component of AC = |AB cos 80° - BC sin 20°|
=|50 cos 80° - 40 sin 20°|= 5 km
tan
= 5/11.65
=23.23°
AC=
km
Hence, the point C is 12.68 km away from the point A on a bearing of S23.23°W.
Answer:
x = 8
Step-by-step explanation:
3x - 20 = 4
add 20 to both sides
3x - 20 + 20 = 4 + 20
3x = 24
divide both sides by 3
= 
x = 8
Answer:
4t^2 - 32t + 64.
Step-by-step explanation:
f(x) = 4x2 – 8x + 4
f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4
= 4(t^2 - 6t + 9) - 8t + 24 + 4
= 4t^2 - 24t + 36 - 8t + 28
= 4t^2 - 32t + 64.