<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,

Answer: He will have 88 cups of punch left over
Step-by-step explanation:
Using elimination, we add the equations, but this time from left to right. This process wants to elimination a variable. So 2x plus -2x equals 0. Moving on the next variable, 6y plus -y is 5y. On to the last variable, 18 plus 12 is 30. So we have this equation, 5y=30. 30/5 is 6, so y=6. We plug 6 into y in one of the equations you choose. In this case, I'm going to use the first equation. Plugging 6, we have this equation, 2x plus 36 is 18. 18-36 is -18. We then have this equation, 2x=-18. We know -9 times 2 is -18, so our x value is -9, So, our y=6, and our x=-9.
Answer: B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
Step-by-step explanation:
Here are the options:
A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.
B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
At leslie's school the ratio of boys and girls is 11 to 12. This implies that the fraction of boys in the school to total students will be:
= 11/(11 + 12) = 11/23 = 0.4783
At Marks school the ratio of boys to girls is 41 to 48. Thus implies that the fraction of boys in the school to total students will be:
= 41 / (41 + 48) = 41/85= 0.4824
Based on the calculation, we can deduce that there are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
Answer:
8 inches
Step-by-step explanation:
To find the area of a triangle, we use the formula
A = 1/2 bh where b is the length of the base and h is the height
A = 24 and b = 6
24 = 1/2 (6) * h
24 =3h
Divide each side by 3
24/3 = 3h/3
8 =h
The height is 8 inches