Answer:
Thus, the ratio is:
a:b = 1:4
Step-by-step explanation:
Given the expression
Divide both sides by 2
Divide both sides by b
Thus, the ratio is:
a:b = 1:4
'nine less than three times a number is negative twenty-one.'
Answer:
9.7
Step-by-step explanation:
Step-by-step explanation:
z = (specific score - mean) / standard deviation
in our case
z = (105 - 101)/4.2 = 4/4.2 = 0.952380952... ≈ 0.95
as z-tables usually round the z-scores to hundredths.
To do this problem hand, you have to start by changing the mixed number into an improper fraction. A handy trick for that is to:
1) Multiply the denominator of the fraction part, 4, by the whole number, 4. So 4*4=16.
2) Add the number in the numerator to the value from step one. So 16+3=19.
3) Put the value from step two over the denominator to get your improper fraction! 19/4
Now you need to multiply to get a common denominator in both values in order to subtract. You have 19/4 - 1/3. This is when you could use a calculator if allowed haha, or multiply 19/4 by 3/3 and 1/3 by 4/4 to get 57/12 - 4/12. Subtract to get 53/12.
Now just do simple division and put the remainer over 12 and simplify the fraction if needed! 53/12 = 4R5. So 4 5/12 is the answer :)
