Step-by-step explanation:
Let the numbers be x and y
2 consecutive even nos.
therefore y = x+2
twice of the first (2x) is 46 more than y
2x = y+46
Solving both the equations
x - y + 2 = 0
(-)2x - y - 46 = 0
____________
-x + 0 + 48 = 0
____________
x = 48
y = x+2
= 48 +2
= 50
Therefore the 2 nos. are 48 and 50
Hope this answers helps you
The sides could be 10.2 inches or 15.7 inches.
See the attached picture for the equations:
Answer:


Step-by-step explanation:
The product is the result obtained by multiplying two factors. Then, the sentence ""The product of a number n and 7.7 equals 112.42" can be expressed with the following equation:

To solve for the variable "n", you has two apply the Division property of equality and divide both sides of the equation by 7.7
Therefore, the value of "n" is:

Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.44.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that 
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So






Rounding up
A sample of 179 is needed.