Answer 2.85
On rounding to nearest hundredths, we get than 2.85 as at thousandths place, there is 9 which is greater than 5, so 1 is added to the hundredth value.
5/4 = 75/g....cross multiply because this is a proportion
5g = 300
g = 300/5
g = 60
so in 2nd semester, there were 75 students in art class and 60 students in gym class....for a total of 135 students.
1st semester....ratio was 2:7...added = 9
art : 2/9(135) = 270/9 = 30 <=== art class had 30
gym: 7/9(135) = 945/9 = 105 <=== gym class had 105
Answer with explanation:
The equation of two planes are
1.→y +2 z=10
2.→x+y=11
To find the point of Intersection of two planes
let,→ y=t
→2 z=10 - t
10 -2 z=t
→x=11 -t
11 -x=t
So,Writing equation of line which is intersection of two planes
→ 11 -x = y= 10-2 z=t
---------------------------------(1)
⇒Putting , x=0, y=0 and z=0 in the above equation ,to find the point Closest to Origin which will be
=(11, 0, 10)
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 %)
