Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be <em>any number</em>.
Then the first <em>even</em> number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.

And we solve from there:

So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo
Answer:
8 hours
Step-by-step explanation:
Given:
Sheyna drives to the lake with average speed of 60 mph and

Sheyna drives back from the lake with average speed of 36 mph

It took 2 hours less time to get there than it did to get back.
Let
be the time taken to drive to lake.
Let
be the time taken to drive back from lake.
hrs ..... (1)
To find:
Total time taken = ?

Solution:
Let D be the distance to lake.
Formula for time is given as:


Putting in equation (1):

So,

So, the answer is:

Step-by-step explanation:
To find the slope you use the slope formula which is y2-y2/x2-x1
And to find the y intercept you use y=mx +b. Yous substitute the slope as m and you substitute a point from the line to find b. Which is the y intercept
The sum is 61 for this equation.
Answer:
The lower bound for a 90% confidence interval is 0.2033.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The lower bound for a 90% confidence interval is 0.2033.