The answer is 13 square units :)
Answer:
A red 5 is chosen from the deck. The card is put back into the deck and the a red card is chosen.
Step-by-step explanation:
An independent event is one whose outcome is not dependent on any other event. There are two types of cards in the deck. If a red card is selected it will be from the series 1 - 20, if the card is put back into deck and then again a red card is selected it will be again from the series 1 - 20. This is an independent event since its outcome is same irrespective of the events.
Answer:
7 units
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, 
. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:
So, the answer is 7 units.
B.
Let's simply look at each conjecture and determine if it's true or false.
A. 2n– 1 is odd if n is positive: Since n is an integer, 2n will
always be even. And an even number minus 1 is always odd. Doesn't matter
if n is positive or not. So this conjecture is true.
B. 2n– 1 is always even: Once again, 2n will always be even. So 2n-1 will always be odd. This conjecture is false.
C. 2n– 1 is odd if n is even: 2n is always even, so 2n-1 will always
be odd, regardless of what n is. So this conjecture is true.
D. 2n– 1 is always odd: 2n will always be even. So 2n-1 will always be odd. Once again, this conjecture is true.
Of the 4 conjectures above, only conjecture B is false. So the answer is B.
Answer:
n=1705
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
And the distribution for 
is:
We know that the margin of error for a confidence interval is given by:
(1)
The next step would be find the value of 
, 
and 
Using the normal standard table, excel or a calculator we see that:
If we solve for n from formula (1) we got:
And we have everything to replace into the formula:
And if we round up the answer we see that the value of n to ensure the margin of error required 
mm is n=1705.
