Answer:
The answer is below
Step-by-step explanation:
1)
mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65
Given that the confidence level (c) = 90% = 0.9
α = 1 - c = 0.1
α/2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given as:
The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)
2)
mean (μ) = 23, SD(σ) = 12, sample size (n) = 45
Given that the confidence level (c) = 88% = 0.88
α = 1 - c = 0.12
α/2 = 0.06
The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56
The margin of error (E) is given as:
The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)
Answer:
8 km
Step-by-step explanation:
It is given that, the scale of a map says that 8 cm represents 5 km. We need to find the actual number of kilometers that is represented by 5 centimeters on the map.
8 cm = 5 km
1 cm = (8/5) km
For 5 cm, multiply (8/5) km by 5.
So,
x = 8 km
So, 8 km is represented by 5 centimeters on the map.
Answer:
There would be 7 swan boat rides out of which 6 will carry 6 people each but the last swan boat ride carries 4 people. 2 more people can join the swan boat ride.
Step-by-step explanation:
We are given the following information in the question:
A park guide plans the swan boat ride for 40 people.
Total number of people = 40
Number of people that can ride in 1 boat = 6
Number of boats required =
This can also be represented with the modulo function which gives the remainder.
Thus, there would be 7 swan boat rides out of which 6 will carry 6 people each but the last swan boat ride carries 4 people.
2 more people can join the swan boat ride.
Answer:
used Pythagorean theorem to figure this out
a² + b² = c²
BC ~ 11.5 mm
Step-by-step explanation:
Answer:
36p is the correct answer
