A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in the length and width. Write and simplify an expression for the perimeter of the new pattern.
p=2(96+l)+2(60+w)
This is the equation. p is for perimeter. (96+l) represents the original length plus the change in length. The 2 before (96+l) represents that there is one length on each side of the rectangle.
Same for the width. (60+w) represents the original width plus the change in width. The 2 before (60+w) represents that there is one width on each side of the rectangle.
The simplified equation is p=(192+2l)+(120+2w) (this is your answer)
I hope this helps!
Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
<u>Part 1)</u> "Four times the difference of a number and 
is 
"
Let
x--------> the number
we know that
the expressions is equal to
therefore
<u>the answer part 1) is</u>
<u>Part 2)</u> "One third of a number is 
less than the number itself"
Let
x--------> the number
we know that
the expressions is equal to
therefore
<u>the answer part 2) is</u>
<u>Part 3)</u> "Ten increased by the quotient of a number and 
is 
"
Let
x---------> the number
we know that
the expressions is equal to
therefore
<u>the answer Part 3) is</u>
<u>Part 4)</u> "One less than the product of a number and 
is 
more than the number itself"
Let
x---------> the number
we know that
the expressions is equal to
therefore
<u>the answer Part 4) is</u>
Answer:
Test statistic = - 2.29
Pvalue = 0.0110
Step-by-step explanation:
The hypothesis :
H0 : p = 0.3
H1 : p < 0.3
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 0.2
Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110
Z = - 0.1 / √0.0019090
Z = - 0.1 / 0.0436931
Z = - 2.29
Test statistic = -2.29
The Pvalue :
P(Z < -2.29) = 0.0110
Answer:
Step-by-step explanation:
