Question

score on last try: 0 of 9 pts. see details for more. at least one scored part is incorrect. jump to first changable incorrect part. you can retry this question below cars in a parking lot: how many suvs are in the parking lot? how many red hondas are in the parking lot? how many of the red cars in the parking lot are not suvs? how many cars are in the parking lot?

Explanation:

1. How many SUVs are in the parking lot?

Step1: Identify SUV regions

The SUV circle has regions: 10 (only SUV), 8 (SUV and Honda), 7 (SUV and Red), 1 (all three).

Step2: Sum the regions

Sum = \( 10 + 8 + 7 + 1 \)
\( = 26 \)

Step1: Identify red Honda region

The region common to Red and Honda (and maybe SUV) is the middle overlapping region, which is 1 (wait, no, looking at the Venn diagram, the region where Red and Honda overlap (including SUV) is 1? Wait, no, the Venn diagram: SUV (blue), Honda (green), Red (red). The overlapping of Red and Honda (including SUV) is the region with 1? Wait, no, maybe I misread. Wait, the Red circle: 11 (only Red), 7 (Red and SUV), 1 (all three), 3 (Red and Honda). Wait, maybe the diagram is:

• Only SUV: 10
• SUV and Honda (not Red): 8
• SUV and Red (not Honda): 7
• All three (SUV, Honda, Red): 1
• Only Honda: 12
• Honda and Red (not SUV): 3
• Only Red: 11
• Outside all: 6

So for red Hondas: Honda and Red (including or excluding SUV? Red Hondas would be the region where Red and Honda overlap, which is 3 (Honda and Red only) + 1 (all three)? Wait, no, "red Hondas" are cars that are both Red and Honda, so the intersection of Red and Honda, which includes the all-three region. Wait, the Venn diagram: the region between Red and Honda (not SUV) is 3, and the all-three is 1. Wait, maybe the labels:

• SUV only: 10
• SUV ∩ Honda only: 8
• SUV ∩ Red only: 7
• SUV ∩ Honda ∩ Red: 1
• Honda only: 12
• Honda ∩ Red only: 3
• Red only: 11
• Outside: 6

So red Hondas: Honda ∩ Red = (Honda ∩ Red only) + (all three) = \( 3 + 1 = 4 \)? Wait, no, maybe the "red Hondas" is the region where Red and Honda overlap, regardless of SUV. So that's the region common to Red and Honda, which is 3 (Red and Honda only) + 1 (all three) = 4? Wait, but maybe the diagram has:

Wait, the user's diagram:

• SUV circle: 10 (only SUV), 8 (SUV-Honda), 7 (SUV-Red), 1 (all three)
• Honda circle: 12 (only Honda), 8 (SUV-Honda), 3 (Honda-Red), 1 (all three)
• Red circle: 11 (only Red), 7 (SUV-Red), 3 (Honda-Red), 1 (all three)
• Outside: 6

So for red Hondas: the intersection of Red and Honda, which is 3 (Honda-Red only) + 1 (all three) = 4? Wait, no, "red Hondas" are cars that are both Red and Honda, so that's the region where Red and Honda overlap, which is 3 (Honda and Red, not SUV) + 1 (all three, SUV, Honda, Red) = 4. Wait, but maybe the 3 is Honda and Red (not SUV), and 1 is all three. So red Hondas: 3 + 1 = 4? Wait, but let's check again.

Wait, the question is "how many red Hondas", so cars that are Red and Honda. So in Venn terms, \( n(\text{Red} \cap \text{Honda}) \). The formula for \( n(A \cap B) \) is the sum of regions where A and B overlap. So Red and Honda overlap in two regions: 3 (only Red and Honda) and 1 (all three). So \( 3 + 1 = 4 \). Wait, but maybe the diagram's 3 is the Red and Honda (not SUV) and 1 is all three. So yes, 3 + 1 = 4. Wait, but maybe I made a mistake. Alternatively, maybe the all-three region is 1, and the Red and Honda (not SUV) is 3, so red Hondas are 3 + 1 = 4.

Wait, but let's re-express the Venn diagram:

• Only SUV: 10
• SUV ∩ Honda (not Red): 8
• SUV ∩ Red (not Honda): 7
• SUV ∩ Honda ∩ Red: 1
• Only Honda: 12
• Honda ∩ Red (not SUV): 3
• Only Red: 11
• Outside: 6

So for red Hondas: Honda ∩ Red = (Honda ∩ Red ∩ SUV) + (Honda ∩ Red ∩ not SUV) = 1 + 3 = 4.

Step1: Identify Red ∩ Honda regions

Regions where Red and Honda overlap: 3 (Red and Honda, not SUV) and 1 (all three: SUV, Honda, Red).

Step2: Sum the regions

Sum = \( 3 + 1 = 4 \)

Answer:

26

2. How many red Hondas are in the parking lot?