<u>Answer-</u>
<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>
<u>Solution-</u>
The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.
We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.
We know that, the conditional probability of occurrence of A given that B occurs is,
Putting these values,
Use Pythagorean theorem.
[tex]|ON|^2+|MN|^2=|OM|^2\\\\x^2+x^2=8^2\\\\2x^2=64\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=32\to x=\sqrt{32}\\\\x=\sqrt{16\cdot2}\\\\x=\sqrt{16}\cdot\sqrt2\\\\\boxed{x=4\sqrt2}
Answer: |MN| = 4√2.
Answer:
The correct option is A) Once an individual is selected, the individual cannot be selected again.
Step-by-step explanation:
Consider the provided statement.
Without replacement mean each population sample unit has only one opportunity in the sample to be chosen.
For example:
If a bag contains 5 red and 3 white ball and you randomly select a white ball, the probability of selecting the white ball is 3/8.
Now if the experiment is done by without replacement that means the white ball (which you have selected) is no longer the part of the sample space.
Hence, we can say that once an individual is selected, the individual cannot be selected again.
Thus, the correct option is A) Once an individual is selected, the individual cannot be selected again.
If you would like to know the value of b^2 - 4 * a * c, you can calculate this using the following steps:
x * (x + 8) = 9
x^2 + 8x - 9 = 0
ax^2 + bx + c = 0
a = 1
b = 8
c = - 9
D = <span>b^2 - 4 * a * c = 8^2 - 4 * 1 * (-9) = 64 + 4 * 9 = 64 + 36 = 100
The correct result would be 100.</span>
Answer: 78.54
Step-by-step explanation:
