The perimeter of a shape is the sum of its side lengths
The expressions for the perimeter of the frame are 4(l + 2) and 4l + 8
<h3>How to determine the perimeter of the shape</h3>
The side length of the frame is given as l
So, the perimeter of the frame is
:
When 2 inches are added to each length, the perimeter of the frame becomes

Expand

Hence, the expressions for the perimeter of the frame are 4(l + 2) and 4l + 8
Read more about perimeter at:
brainly.com/question/24571594
Answer:
(f + g)(3) = 9
Step-by-step explanation:
Given:
f(x) = x² + 1
g(x) = x - 4
Required:
(f + g)(3)
SOLUTION:
✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:
f(3) = (3)² + 1 = 9 + 1
f(3) = 10
✔️Find g(3) by substituting x = 3 into g(x) = x - 4:
g(3) = 3 - 4
g(3) = -1
✔️Find (f + g)(3):
(f + g)(3) = f(3) + g(3)
= 10 + (-1)
= 10 - 1
(f + g)(3) = 9
Answer:
14
Step-by-step explanation:
Caitlin buys twice as many apples as oranges.

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.


a.

is a proper joint density function if, over its support,
is non-negative and the integral of
is 1. The first condition is easily met as long as
. To meet the second condition, we require

b. Find the marginal joint density of
and
by integrating the joint density with respect to
:


Then


c. This probability can be found by simply integrating the joint density:


To answer this question you must find the percentage of the children that read before bed and compare it to the adults bag read before bed’s percentage.
To do this, start by dividing the number of children that read before bed by the total number of children surveyed.
This leaves you with:
6/13= 0.4615
To find the actual percentage, multiply this result by 100.
0.4615 x 100 = 46.15
This percentage rounded is 46%
So, now you can compare the percentages. The percentage of children that read before bed is 46% and the percentage of adults that read before bed is 54%. So, the group with the greatest percentage was the adults.
I hope this helps!