Answer: 1.960
Step-by-step explanation:
The value of z we use to calculate a confidence interval with a (
) confidence level is a two-tailed test value i.e. represented by :-

Given : The level of confidence: 
Then, significance level : 
With the help of standard normal distribution table for z , we have

Hence, the value of z should be used to calculate a confidence interval with a 95% confidence level =1.960
Answer:
11
Step-by-step explanation:
Answer:
Kayla bought 7 tacos and 10 hotdogs
Step-by-step explanation:
Let the number of hotdogs be x.
Let the number of tacos be y.
i) It is given that x = y + 3
ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126
iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126
therefore 15y + 21 = 126
therefore 15y = 105
therefore y = 7
Therfore Kayla bought 7 tacos
iv) Using the value of y from iii) in i) we x = 7 + 3 = 10
Therefore Kayla bought 10 hotdogs
Answer:
$395.83
Step-by-step explanation:
to solve, we first need to subtract what we already have, first the scholarship, wich is a set amount being taken from the original amount
12'000 - 2'500 = 9'500
now we have the second subtracting factor, but this one isn't set in stone and defined, it is half of the amount his parents will pay, so what we can do is divide what we have by two, wich will give us 2 halves
9'500 / 2 = 4'750
now all we have to do is divide again but this time for each month that Daniel needs to save up in, in this case 12
4'750 / 12 = 395.83 (note1)
and there we have it, that is the minimum amount Daniel would save each month
note1: (3 goes on for infinity, usualy this is represented by a line above the repeating number, this is the case of a repeating decimal)
There is a 20 percent chance of choosing a number that would fit the requirements of both a and b this si because only 1 and three are odd and less than three so 2/10 is twenty percent