Approximately 95% of bags contain between 65 and 85 potato chips.
<u>Step-by-step explanation</u>:
step 1 :
Given,
The mean, M = 75
Standard deviation, SD = 5
step 2 :
From Normal distribution,
The left side of mean is 32% = M-SD, 16% = M-2SD and 2% = M-3SD
The right side of mean is 32% = M+SD, 16% = M+2SD and 2% = M+3SD
step 3 :
Calculate for left side: M-SD = 75-5 = 70 and M-2SD = 75-10 = 65
Calculate for right side: M+SD = 75+5 = 80 and M+2SD = 75+10 = 85
step 4 :
Calculate the percentage between 65 and 85:
(M-SD) + (M-2SD) + (M+SD) + (M+2SD) = 32% + 16% + 32% + 16%
= 96 % (which is approximately 95 %)
Answer:
-4u -5v
Step-by-step explanation:
Let the sum be ...
<3, -27> = a<3, 3> +b<-3, 3>
This resolves to two equations
3 = 3a -3b
-27 = 3a +3b
Adding these together, we get
-24 = 6a
a = -4
Substituting into the second equation gives ...
-27 = 3(-4) +3b
-15 = 3b
-5 = b
The desired linear combination is ...
<3, -27> = -4<3, 3> -5<-3, 3> = -4u -5v
Answer:
<h2>(-2,5) are the x,y intercepts.......</h2>
Answer:
4.57ft by 1.57 ft
Step-by-step explanation:
We are given that
Emma's square patio has been area=31 sq.ft
One dimension decrease by 1 foot and other dimension decrease by 4 feet.
We have to find the new dimensions of Emma's patio.
Let x be the side of Emma's square patio
We know that
Area of square=
ft
One dimension=
ft
other dimension=
Hence, the new dimension of Emma's patio is given by
4.57ft by 1.57 ft
