Answer:
x = 7, x = -10
Step-by-step explanation:

Use the quadratic formula.

Solve.
x = 7, x = -10
You can also factor if you want - that is a faster method.
Answer:
They are dependent events. Event A is choosing one musician while Event B is choosing another musician. THey are ALL musicians, no matter what instrument they play, we just know that there are 7 musicians in total. Therefore, the events are dependent because after choosing one musician, you would have 6 musicians left, instead of 7.
Step-by-step explanation:
The normal distribution curve for the problem is shown below
We need to standardise the value X=405.5 by using the formula


We now need to find the probability of z=0.32 by reading the z-table
Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:

from the z-table, the reading

gives 0.6255
hence,

The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%
Answer:

Step-by-step explanation:
Given



Required
Find r
From the question, we understand that G is a point between D and M:
This implies that:

Substitute values for DM, DG and GM

Collect Like Terms


Solve for r

