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denis23 [38]
3 years ago
13

Based on the data in this two-way table, which statement is true? Type of Flower/Color Red Pink Yellow Total Rose 40 20 45 105 H

ibiscus 80 40 90 210 Total 120 60 135 315 P(flower is yellow|flower is rose) ≠ P(flower is yellow) P(flower is hibiscus|color is red) = P(flower is hibiscus) P(flower is rose|color is red) = P(flower is red) P(flower is hibiscus|color is pink) ≠ P(flower is hibiscus)
Mathematics
2 answers:
Ilya [14]3 years ago
8 0
1st choice: If the flower is a rose (total rose = 105), there are 45 yellow ones, so P(yellow|rose) = 45/105 = 3/7. P(yellow) = total yellow / total = 135 / 315 = 3/7. Therefore, these are equal, and this statement is not true.
2nd choice: P(hibiscus|red) = red hibiscus / red = 80 / 120 = 2/3. P(hibiscus) = hibiscus / total = 210 / 315 = 2/3. This is true.
Therefore the second statement is true.
Ksju [112]3 years ago
5 0

Answer:

I got B on edmentum

Step-by-step explanation:

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So for this, I will be using the substitution method. Firstly, subtract both sides in the second equation by 2x: 4x+3y=20\\ y=7-2x

Next, substitute y in the first equation with 7-2x, then solve for x from there:

4x+3(7-2x)=20\\ 4x+21-6x=20\\ -2x+21=20\\ -2x=-1\\ x=\frac{1}{2}

Now that we got x, substitute it into either equation to solve for y:

4*\frac{1}{2}+3y=20\\ 2+3y=20\\ 3y=18\\ y=6\\ \\ 2*\frac{1}{2}+y=7\\ 1+y=7\\ y=6

In short, x = 1/2 and y = 6.

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