Answer:
The answer is 37.44
Step-by-step explanation:
Step 1: Divide 52 by 100
In this case, the number that we are "comparing" to 100 is 52, so we must first normalize the number by dividing it by 100. The operation we have to solve is this:
52
100
=
52
÷
100
=
0.52
Step 2: Multiply 0.52 by 72 to get the solution
Now that we have our normalized number, 0.52, we just have to multiply it by 72 to get our final answer. The forumla for this is obviously quite simple:
0.52
×
72
=
37.44
Craig had p coins. Then he found 66 more coins in a drawer. Write an expression that shows how many coins Craig has now.
p+ 66
Answer:
it would be 61 tiles i think
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given the polynomial:

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.
Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.
Hence, by the Factor Theorem, P(2) must equal zero.
Find P(2):

This must equal zero. Hence:

In conclusion, <em>k</em> = 34/3.
Answer:
The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes
Step-by-step explanation:
We have the standard deviation for the sample, but not for the population, so we use the students t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 35 - 1 = 35
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of
). So we have T = 2.0322
The margin of error is:
M = T*s = 2.0322*30 = 60.97
The upper end of the interval is the sample mean added to M. So it is 204 + 60.97 = 264.97
The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes