[1] 0.25, 0.25%, or 
We will divide the number of wanted outcomes by possible outcomes.

[2]
We will follow the same steps as problem 1.
MTHMTCS = 7 consonants
AEAI = 4 vowels
MTHEMTICS = 9 letters that are not A's
MATHEMATICS = total of 11 letters
(a)

(b)

(c)

[3] 0.877
If the probability that a television is defective is 0.123, then the probability that a television is not defective is:
1 - 0.123 = 0.877
Solving the system we get, x= -1, y= -2 and z= 0
Step-by-step explanation:
Solving the equations to find x, y and z

Adding eq(1) and eq(2)

Adding eq(2) and eq(3)

Multiplying eq(4) by 3 and eq(5) by 2

So, value of z =0
Putting value of z in eq(4)

So, value of x = -1
Now putting value of z=0 and x =-1 in equation 1

So, value of y = -2
So, solving the system we get, x= -1, y= -2 and z= 0
Keywords: Solve the system
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For the first question, you will write a ratio of 1/2 oz:10 pounds. Please see the attached picture. There are 9 groups of 10 oz in 90 oz, so you will need 9 groups of the amount of medicine too!
For the second question, you need to understand that the exponent (2^3) must be evaluated first because all forms of multiplication/ groupings comes first before adding or subtracting.
Exponents are a way of showing repeated multiplication, so it is done first.
Answer:
i ndo0nt nwjrefilaqwebriuhgyowafh vnh3e4iyufrawgevtc87ayimcawhuebovaetyert
Step-by-step explanation: