<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
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Answer:
The least amount spent is £12.92
Step-by-step explanation:
Given
Number of Carton = 38
A carton = 45 pence
4 carton = £1.56
To spend the least amount of money, be needs to go for the least expensive option.
There are 100 pence in £1
So, there are x pence in £1.36
x * 1 =1.36 * 100
x = 136 pence for 4 carton.
To get the price of 1 carton, divide x by 4
x/4 = 136p/4
x/4 = 34 pence.
This means that he can get a carton of juice at the rate of 34p and at the rate of 45p.
The smallest of this is 34p.
Hence total amount spent =
34 * 38
amount = 1292p --- convert to £
Amount = 1292/100
Amount = £12.92
Hence, the least amount spent is £12.92
Hi there
The formula of compound interest is
A=p (1+r/k)^kn
A future value?
P present value 12300
R interest rate 0.052
K compounded quarterly 4
N time 1 year
So
A=12,300×(1+0.052÷4)^(4×1)
A=12,952.18
Good luck!
Answer:
a. increase the sample size
Step-by-step explanation:
The width of a confidence interval is twice the margin of error, which is given by:
In which 
is the standrd deviation of the population, n is the size of the sample, and z is the confidence coefficient(the higher the confidence level, the higher z is).
The only of those variables which is direct proportional to M is the sample size. This means that if we want to decrease the width of M, we need to increase the sample size.
So the correct answer is:
a. increase the sample size
