Answer:
Step-by-step explanation:
What i would do is multiply both sides by 2z + 1
so you get z-6=20z+10
-19z=16
z=-16/19
Answer:
g and g
Step-by-step explanation:
just did
Given that the radius of the circle is 6 cm.
The central angle is 120°
We need to determine the length of AB.
<u>Length of AB:</u>
The length of AB can be determined using the formula,

Substituting
and
in the above formula, we get;

Simplifying the values, we get;



Substituting π = 3.14, we have;


Thus, the arc length of AB is 12.56 cm
Answer:
a) 0.11
b) 60
Step-by-step explanation:
Total frequency:
12+35+11+23+7+12 = 100
P(3) = 11/100 = 0.11
P(6) = 12/100 = 0.12
Expected no. of sixes:
500 × 0.12 = 60
Answer: The running time should at least 119.32 seconds to be in the top 5% of runners.
Step-by-step explanation:
Let X= random variable that represents the running time of men between 18 and 30 years of age.
As per given, X is normally distrusted with mean
and standard deviation
.
To find: x in top 5% i.e. we need to find x such that P(X<x)=95% or 0.95.
i.e. 

Since, z-value for 0.95 p-value ( one-tailed) =1.645
So,
Hence, the running time should at least 119.32 seconds to be in the top 5% of runners.