1/6, 2/3, 3/4 is the answer
Answer:
14 9/10
Step-by-step explanation:
2 2/7 times 2 = 4.57
5 1/6 times 2 = 10.33
10.33 + 4.57 = 14.90
14.90 as a fraction is 14 9/10
Answer:
Ф = 0 and Ф = π
Step-by-step explanation:
* Lets explain how to solve the problem
∵ sin Ф + 1 = cos²Ф, where 0 ≤ Ф < 2π
- To solve we must to replace cos²Ф by 1 - sin²Ф
∵ sin²Ф + cos²Ф = 1
- By subtracting sin²Ф from both sides
∴ cos²Ф = 1 - sin²Ф
- Lets replace cos²Ф in the equation above
∴ sin Ф + 1 = 1 - sin²Ф
- Subtract 1 from both sides
∴ sin Ф = - sin²Ф
- Add sin²Ф for both sides
∴ sin²Ф + sin Ф = 0
- Take sin Ф as a common factor from both sides
∴ sin Ф(sin Ф + 1) = 0
- Equate each factor by 0
∵ sin Ф = 0
∴ Ф = 0 OR Ф = 2π
∵ sin Ф + 1 = 0
- Subtract 1 from both sides
∴ sin Ф = -1
∴ Ф = π
∵ 0 ≤ Ф < 2π
∵ Ф < 2π
∴ We will refused the answer Ф = 2π
∴ Ф = 0 and Ф = π
The data set that has a variation, or mean absolute deviation, similar to the data set in the given dot plot is; Option D
<h3>How to Interpret Dot Plots?</h3>
The given dot plots options are as seen in the attached brainly link.
Now, the sample dot plot shows a total of 10 dots with 3 dots on 52, 2 dots on 53, 1 dots each on 54, 55, 56, 57, 58.
Looking at the options, the only one that represents the variation, or mean absolute deviation of the given sample is Option D.
Read more about Dot Plots at; brainly.com/question/22247061
#SPJ1
Answer:
Will have an expected value of the mean = 80 and a standard error of the mean = 5
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
n = 16
So the mean is 80 and the standard deviation is 
Will have an expected value of the mean = 80 and a standard error of the mean = 5
