in a survey of 80 people.it was found that 60 liked oranges only and 10 liked both oranges and apples.the number of people who l
2 answers:
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Response:
e. 545
Detailed explanation:
In a survey sample containing n individuals, with a success probability of , and a confidence level of
, the ensuing confidence interval for proportions is established.
Wherein
z denotes the z-score corresponding to a probability value of .
For this scenario, we find:
The estimate averages the two bounds. Thus
95% confidence level
Consequently, z represents the z value corresponding to the p-value of , hence
.
The lower boundary of this interval is:
In this query, L = 0.82. Therefore
Thus, the accurate response is:
e. 545
The corresponding scales are:
3 cm for 15 km translates to 1 cm for 5 km ⇒ answer A
5 mm for 2.5 km translates to 1 cm for 5 km ⇒ answer D
1 mm for 500 m translates to 1 cm for 5 km ⇒ answer E
Detailed explanation:
To engage with this problem:
1. Given that 1 cm is equivalent to 5 km, all provided answers must
be converted to cm and km
2. Determine the matching scales against the provided scale
A.
Since 3 cm indicates 15 km
- Divide both values by 3Thus, 1 cm indicates 5 km
3 cm for 15 km equates to 1 cm for 5 km
B.
Since 1 mm signifies 150 km
- Convert mm to cmSince 1 cm = 10 mm
Thus, 1 mm =So, 0.1 cm indicates 150 km
- Then multiply both by 10
So, 1 cm indicates 1500 km
1 mm to 150 km does not match with 1 cm to 5 km
C.
Since 5 cm signifies 1 km
- Divide both by 5Thus, 1 cm signifies 0.2 km
5 cm to 1 km does not match with 1 cm to 5 km
D.
Since 5 mm signifies 2.5 km
- Convert mm to cmSince 1 cm = 10 mmThus, 5 mm = cm = 0.5 cm
Therefore, 0.5 cm indicates 2.5 km
- Divide both by 0.5
Therefore, 1 cm represents 5 km
5 mm to 2.5 km corresponds to 1 cm to 5 km
E.
Since 1 mm signifies 500 m
- Convert mm to cm
Since 1 cm = 10 mm
So, 1 mm = cm = 0.1 cm
- Convert m to km
Since 1 km = 1000 m
Thus, 1 m = = 0.001 km
Thus, 500 m = = 0.5 km
Thus, 0.1 cm indicates 0.5 km
- Multiply both by 10
Thus, 1 cm represents 5 km1 mm to 500 m corresponds to 1 cm to 5 km
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