Answer: 2172
Step-by-step explanation:
Formula to find the sample size n , if the prior estimate of the population proportion(p) is known:
, where E= margin of error and z* = Critical z-value.
Let p be the population proportion of adults have consulted fortune tellers.
As per given , we have
p= 0.20
E= 0.02
From z-table , the z-value corresponding to 98% confidence interval = z*=2.33
Then, the required sample size will be :
Hence, the required sample size = 2172
(-7,0) (0,-7) should be the zeros
Remove both sets of brackets.
18 - 9x - 8 + 12x > 9 Collect like terms on the left.
12x - 9x + 18 - 8 > 9
3x + 10 > 9 Subtract 10 from both sides.
3x > 9 - 10
3x > - 1 divide by 3
x > -1/3
Notice what the graph is telling you. A blue dotted line is going through x = - 1/3 or - 0.3333
Everything to the right of - 0.333 is colored blue and that means anything to the right if going to be a solution to the inequality. To confirm this for yourself, try zero and 1. Both should give larger than 9 solutions.
Let the age of the wise man be x years. And in the question it is said that , 400 reduced by 3 times my age is 133, that is,
400-3x =133
Now we need to solve for x, and for that first we subtract 133 to both sides
400-133-3x=0
267-3x = 0
3x=267
Next is to get rid of 3 by dividing both sides by 3, that is
x = 89 years
And that's his age .
Answer:
5/8 of the game
Step-by-step explanation:
Half of a quarter is 1/2, and 1 quarter is already done, therefore 1/2, or to simplify it 1/8, plus 2/8, would be 3/8. Now, a quarter is 1/4th of something therefore there must be 4 quarters in a total.so that means that there are 8 halfves in total , so 8-3=5, so the fractional parts of the game left is 5/8.