Answer:
B. y+13=5(x+2)
Step-by-step explanation:
I personally do y=_+_(x-_) when solving these equations
Plug in -2 the x coordinate for (x- (-2) to be (x+3)
Plug in -13 for the y intercept.
5 from 5x is the slope.
Thus y=-13+5(x+3)
Then just move 13 to the other side
Each term is found by adding 8 to the previous. First term = 4.
So anseer is C
Answer:
(0.6613, 8.3387)
Step-by-step explanation:
Let the heights of men be the first population and the heights of women be the second population. Then
We have
,
,
and
,
,
. The pooled
estimate is given by

The 99% confidence interval for the true mean difference between the mean height of the men and the mean height of the women is given by (if the samples are independent)
, i.e.,

where
is the 0.5th quantile of the t distribution with (15+7-2) = 20 degrees of freedom. So
, i.e.,
(0.6613, 8.3387)
A I think is correct, but you may want to get a second opinion.
Given:
The initial mass of an element is 800 grams.
Decay rate = 8.2% per day
Number of days = 15
To find:
The remaining element after 15 days.
Solution:
The exponential decay model is

Where, a is the initial value r is the rate of interest and t is time period.
Putting
in the above formula, we get




Therefore, the mass of the remaining element is 221.7 grams.