Answer: 547
Step-by-step explanation: The margin of error formulae is given below as
Margin of error = critical value ×(σ/√n)
Where σ = standard deviation and n is the sample size.
From our question, margin of error = 0.08
Variance is 1.691,
hence σ = √variance = √1.691
= 1.3.
We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.
The critical value for a 85% confidence interval is 1.44.
Hence critical value is 1.44.
By substituting the parameters, we have that
0.08 = 1.44 × 1.3/ √n
0.08 = 1.873/ √n
By cross multiplying
0.08 × √n = 1.873
√n = 1.873/ 0.08
√n = 23.41
n = (23.41)²
n = 547.
It would be 2/10, or 1/5, since two out of the 10 numbers are even. 2/10 simplifies to 1/5, since there is 1 for every 5 numbers.
We could turn this into a percentage by dividing 1 by 5, which gives us 0.2. Then we can multiply by 100 to get 20.
So, our probability of choosing an even number is:
2/10
OR
1/5
OR
20%
Hope I could help!
Option C: (x+4) and (x-1) are the factors of the equation
Explanation:
Given that the equation is 
We need to determine the factors of the equation.
Splitting the middle term, we get,
Grouping the terms, we have,
Let us factor out the term (x+4), we have,
Thus, the factors of the equation are (x+4) and (x-1)
Hence, Option C is the correct answer.
Christina can buy 7 bananas because one papaya is 8 dollars and then you do 50-8=42 and then 42/6 which equals 7.
Billy can only buy one pair of jeans. The reason is that jeans are 35 bucks and he has already spent 55 dollars on a hat and jacket and that leaves him with 35 bucks left so 35-35 equals zero!
