<h3>
Answer: 5/9</h3>
As an approximate decimal, this is 0.5556 which converts to 55.56%
======================================================
Explanation:
Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.
We then select a house at random. Someone tells us (or we have some kind of prior knowledge) that whichever house is selected, they have an answering machine. We can ignore the 10 households that don't have an answering machine. Out of those 90 households, 50 have both features. So 50/90 = 5/9 is the probability of getting a household with both features.
The answer would be 1/2 or 50% if we didn't have the prior knowledge of the household having an answering machine. But with this prior knowledge, the conditions change and so does the probability.
----------------
You could also compute 0.50/0.90 to get the same answer.
The density of the gold is 772.8 kilograms\cubic meters
<u>Complete Question with table is attached</u>
<u>Answer:</u>
Miguel will save money of $90 if he earns $120.00
<u>Step-by-step explanation:</u>
The figure attached clearly shows the ratio of his earnings and savings. We have to find what would be the savings amount if he earn $120.00. So, first we have to calculate the percentage of ratio of his earnings and savings. As per the data given in the figure,
If he earns $10.00, he saves $7.50, calculate %amount he saves as below,
Likewise, calculate for all given data. If he earns $50.00 then he saves $37.50
If he earns $150.00 and save $112.50,
So, from all above, it clearly tells that Miguel saves 75% of amount from his earnings. Now, given earnings as $120.00. By finding 75% of $120.00, we can find his savings in that amount. So,
F(-3)= 1
f(1)= -1
if f(x)= -2 then x=3
if f(x)= 2 then x= -5
