Sides of first rectangle are 12 inches and 6 inches
and sides of second rectangle are 10 inches and 5 inches
So to find the ration of sides we can do
Ratio of bases = 12/10 = 6/5
Ratio of altitudes = 6/5
Area of first rectangle = base * altitude = 12 *6 = 72 square inches
In order it goes like this
- 4^ x - 1 = 3^ (-x) - 2
- 3 x + 6 = 2^ x + 1
3^ x - 3 = 2 x - 2
so the question is the answer
Answer:
-5/2 x -33/4
Step-by-step explanation:
(-11/2 x + 3) -2 (-11/4 x -5/2)
(-11/2 x + 3/1) -2 (-11/4 x -5/2)
The LCM of 2 and 1 is 2, and the LCM of 4 and 2 is 4.
(-11/2 x + 6/2) -2 (-11/4 x -20/4)
( -5/2x) -2 (-31/4)
-5/2x -2 -31/4
-5/2x -2/1 -31/4
LCM of -2 -31/4 is 4
-2/4 -31/4
-33/4
-5/2x -33/4 in simplest form.
Answer:
6 dm
Step-by-step explanation:
Triangle DBE is similar to triangle ABC, so their side lengths are proportional.
DE/AC = DB/AB
The length of DB can be found from ...
DB +AD = AB
DB = AB -AD = (15 -10) dm = 5 dm
So, we can fill in the proportion:
DE/(18 dm) = (5 dm)/(15 dm)
DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm
DE = 6 dm
_____
It can be helpful to draw and label a figure.
Answer:
n=601
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
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".
The population proportion have the following distribution
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=601