Answer:
So the answer for this case would be n=30 rounded up to the nearest integer
Step-by-step explanation:
Information given
the margin of error desired
standard deviation from previous studies
The margin of error is given by this formula:
(a)
And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is 
and the critical value would be 
, replacing into formula (b) we got:
So the answer for this case would be n=30 rounded up to the nearest integer
Answer:
3.590.04
Step-by-step explanation:
The formula given for total amount saved when compounding interest =
A = P(1 + r/n)^nt
Where
A = Total amount saved after t years
P = Principal or initial amount saved
r = Interest rate
n = compounding frequency
t = time in years
From the above question
P = 3000
r =6% = 0.06
n =compounded monthly = 12
t = 3 years
Hence,
A = 3000(1 + 0.06/12)^3 × 12
A = 3000(1 + 0.06/12)^36
A = 3,590.04
Therefore, the total amount Imran will have in his account after 3 years = 3,590.04
The total number of mattresses that are sold in a year = 1,330
Percentage of King size mattresses sold = 30% = 30/100 = 0.3
Next, we have to calculate the actual number sold by using the formula given below:
Number of king size mattresses sold = Total mattresses sold in a year * percentage of king size mattresses sold
Number of King Size mattresses sold = 1,330*0.3 = 399
Number of king size mattresses sold = 399
Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
There are
ways of selecting two of the six blocks at random. The probability that one of them contains an error is
So
has probability mass function
These are the only two cases since there is only one error known to exist in the code; any two blocks of code chosen at random must either contain the error or not.
The expected value of finding an error is then
