Et the numerator be x, so the denominator is x + 4. So we have:
<span>x/(x + 4) = 9/15 (cross multiply) </span>
<span>15x = 9(x + 4) </span>
<span>15x = 9x + 36 </span>
<span>15x </span>- 9x<span> = 9x - </span>9x<span> + 36 </span>
<span>6x = 36 </span>
6x/6<span> = 36</span>/6
x = 6
x + 4<span> = 6 + 4 = </span>10
<span>Sine the numerator is 6 and the denominator is 10, then the fraction is 6/10, which in the simplest form is equal to 3/5. </span>
<span>Since 9/15 in the simplest form is also equal to 3/5, then 6/10 is equivalent to 9/15. </span>
<span>Thus, 6/10 is the required fraction. hope i helped</span>
Answer: C
You need the total to answer the question, therefore C is the missing information
Let x + 15 = total penguins
15/ (x +15) = .30
15 = .30x + 4.5
.30x = 10.5
x = 35
Total penguins = 15 + 35 = 50
Double Check
15 / 50 * 100 = 30% Correct!!!
Answer:
0.8594
Step-by-step explanation:
Let a denote the event of forgetting to shut off machine and b be the event of being defective.
-A foreman forgets to shut off machine 55% of the time.
-If he forgets, 15% of molds are defective.
-If he does not, 3% of molds are defective.
#The probability that he forgot to shut off the machine is calculated as:
P(a and ~b)=0.55(1-0.15)=0.4675
P(~a and b) = (1-0.55)*0.03=0.0135
P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365
#Conditional probability is defined as:
Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594
