Answer:
The dimensions of the frame are 15 in x 13 in
Step-by-step explanation:
Let
x ----> the length of the picture
y ----> the width of the picture
we know that
-----> equation A
The area of the picture, including the frame is


so
----> equation B
substitute equation A in equation B

solve for y

solve the quadratic equation by graphing
The solution is y=7 in
see the attached figure
<em>Find the value of x</em>

Find the dimensions of the frame


therefore
The dimensions of the frame are 15 in x 13 in
Answer:
The potato bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the popcorn chip bag assembly line.
Step-by-step explanation:
Popcorn mean= μ`1= 3.06
Popcorn St. Dev= σ1= 0.02
Potato Mean= μ`2= 5.05
Potato St. Dev= σ2= 0.05
Finding the z score
z= x- u / σ
Popcorn z= 3.06- 3.03/0.02= 1.5
Potato Z= 5.05-5.07/0.05= -0.4
The mean is taken to be at zero ( 0) therefore difference of 0.4 is less than a difference of 1.5
Choice 3 is the best option .
Answer:
Since it is a right triangle, you can use pythagorean theorem to find the missing side.
Step-by-step explanation:
Answer: 4/5 , 3/10
Step-by-step explanation:
P(not drawing black marble)=
= 8/10
=4/5
P(drawing a red marble)=
=3/10