Answer:
The answer is 0.25
Step-by-step explanation:
(1)we group like terms by subtracting 32.50 by 28.75
(2) we subtract 20 and 5 to give us a value of 15
(3)when we subtract 32.50 and 28.75 we get a value of 3.75
(4)so the equation will look like this 3.75t = 15
(5)we divide 3.75 we both the two equations
(6)With a correct calculation, Your answer should be t = 0.25
Answer:
k=4
Step-by-step explanation:
First, we can subtract 3k on both sides. It is ultimately easier to start by subtracting the term with a variable. This would result in 45=5k+25. Then, we can subtract 25 on both sides to get closer to isolating k. This becomes 20=5k. We can then divide by 5 on both sides. This means that k=4.
Answer:
So then the minimum sample to ensure the condition given is n= 38
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
ME = 4 the margin of error desired
Solution to the problem
When we create a confidence interval for the mean the margin of error is given by this formula:
(a)
And on this case we have that ME =4 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 96% of confidence interval now can be founded using the normal distribution. The significance is
. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got
, replacing into formula (b) we got:
So then the minimum sample to ensure the condition given is n= 38
The answer would be 57 with a remainder of 7.
Answer:
482.8 cm
Step-by-step explanation:
A=2(1+sqrt2)a^2=2·(1+squrt2)·10^2=482.84271