Answer:

Step-by-step explanation:
Given


Required

Since the events are mutually exclusive, then:

So, we have:

Take LCM



Answer:
x = 6
Step-by-step explanation:
We want to find x,

to get x alone, we multiple both side by 10


30 divided by 5 is 6
<u>Check</u>:
We can see that 5 x ____ = 10 where ____ is 2
5 x 2 = 10
so 3 x 2 = 6
Learn more about Equivalent Fractions here: brainly.com/question/1612
Answer:
The sampling distribution of X is centered at 15cm and the standard deviation of the X distribution is 0.0125cm.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sample means with size n can be approximated to a normal distribution with mean
and standard deviation 
(a) If X is the sample mean diameter for a random sample of n = 16 rings, where is the sampling distribution of X centered and what is the standard deviation of the X distribution?
Mean: 
Standard deviation:

The sampling distribution of X is centered at 15cm and the standard deviation of the X distribution is 0.0125cm.
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Step-by-step explanation:
hope this helps if do mark brainllest pls
First a dilation of 1/3 then a rotation of 90 degrees counterclockwise then a translation.