complete the two - way table using the given ...
complete the two - way table using the given information.\n1. a survey of 126 farmers found that 72 of them planted carrots and 45 planted potatoes. there are 38 farmers that planted both carrots and potatoes, and 47 farmers that did not plant carrots or potatoes.\n|potatoes|carrots|no carrots|total|\n|no potatoes| | | |\n|total| | | |\n2. of the 350 people at a convention, 80% had a regular pass, while the rest had a premium pass. there were 184 people who stayed for lunch, while the rest did not. of the people who stayed for lunch, 52 had a premium pass.\n|lunch|no lunch|total|\n|regular pass| | | |\n|premium pass| | | |\n|total| | | |\nwhen the subject of a sentence performs the action, the verb is in the active voice. when the subject of a sentence is being acted upon, the verb is in the passive voice. rewrite each sentence in the active voice.\n3. i was frustrated by last nights math homework.\n4. the scientists were surprised by the results of the experiment.\n5. the window was broken by jacks neighbor sam.
Answer
### 1. Completing the two - way table for farmers
# Explanation:
## Step1: Calculate total number of farmers who planted carrots or potatoes
The total number of farmers is 126, and 47 did not plant carrots or potatoes. So the number of farmers who planted carrots or potatoes is $126 - 47=79$.
## Step2: Calculate number of farmers who planted only carrots
The number of farmers who planted carrots is 72, and 38 planted both carrots and potatoes. So the number of farmers who planted only carrots is $72 - 38 = 34$.
## Step3: Calculate number of farmers who planted only potatoes
The number of farmers who planted potatoes is 45, and 38 planted both. So the number of farmers who planted only potatoes is $45 - 38=7$.
## Step4: Calculate number of farmers who planted no potatoes and carrots
We know the number of farmers who planted only carrots is 34, and the number of farmers who planted no carrots or potatoes is 47. So the number of farmers who planted no potatoes and carrots is 47.
## Step5: Fill in the table
| Potatoes | Carrots | No Carrots | Total |
|---|---|---|---|
| Yes | 38 | 7 | 45 |
| No | 34 | 47 | 81 |
| Total | 72 | 54 | 126 |
### 2. Completing the two - way table for convention attendees
# Explanation:
## Step1: Calculate number of people with regular and premium passes
The total number of people at the convention is 350. 80% have a regular pass, so the number of people with a regular pass is $0.8\times350 = 280$, and the number of people with a premium pass is $350-280 = 70$.
## Step2: Calculate number of people who stayed and did not stay for lunch
The number of people who stayed for lunch is 184, so the number of people who did not stay for lunch is $350 - 184=166$.
## Step3: Calculate number of people with regular pass who stayed for lunch
The number of people who stayed for lunch and had a premium pass is 52. So the number of people with a regular pass who stayed for lunch is $184 - 52 = 132$.
## Step4: Calculate number of people with regular pass who did not stay for lunch
The number of people with a regular pass is 280, and 132 of them stayed for lunch. So the number of people with a regular pass who did not stay for lunch is $280 - 132 = 148$.
## Step5: Calculate number of people with premium pass who did not stay for lunch
The number of people with a premium pass is 70, and 52 of them stayed for lunch. So the number of people with a premium pass who did not stay for lunch is $70 - 52 = 18$.
| | Lunch | No Lunch | Total |
|---|---|---|---|
| Regular Pass | 132 | 148 | 280 |
| Premium Pass | 52 | 18 | 70 |
| Total | 184 | 166 | 350 |
### 3. Rewriting sentences in active voice
# Brief Explanations:
To change from passive to active voice, we make the agent (the do - er of the action) the subject of the sentence.
# Answer:
Last night's math homework frustrated me.
### 4. Rewriting sentences in active voice
# Brief Explanations:
Make the do - er of the action (the results of the experiment) the subject.
# Answer:
The results of the experiment surprised the scientists.
### 5. Rewriting sentences in active voice
# Brief Explanations:
Make the do - er (Jack's neighbor Sam) the subject of the sentence.
# Answer:
Jack's neighbor Sam broke the window.