<u>Given</u>:
Let the random variable x is normally distributed with mean 
and 
We need to determine the probability of 
<u>Probability of </u><u>:</u>
The formula to determine the value of is given by
Thus, we have;
Simplifying, we get;
Using the normal distribution table, the value of -2 is given by 0.0228
Thus, the value of is 0.0228
<span>Given:
visited museum didn't visit museum Total
visited zoo 9 14 23
didn't visit zoo 5 2 7
Total 14 16 30
Simply look at the table and check the number that corresponds to visitors who visited the museum but did not visit the zoo. The number is 5.
Divide it by the total number of people surveyed. Total is 30.
Probability visited the museum but did not visit the zoo = 5/30 = 0.16666 or 16.67%</span>
Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles
Step-by-step explanation:
I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.
For examples, 2/16 of the marbles are red. 2/16=x/24
You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.
Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3
You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.
The value of X in the equation is -3
|
|__x_- 4___________ 2x³/2x² =x
2x² + 2x +3 | 2x³ - 6x² +7x +3
- (<span>2x³ +2x² +3x)
</span> -8x² +4x +3 -8x²/2x² = -4
<span>-(-8x² -8x -12)
</span> 12x +15
(x-4) + (12x +15)/(2x² + 2x +3)
