**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.