Answer:
288 pi or 904.22
Step-by-step explanation:
(4/3) × pi × r³
(4/3) × pi × 6³
288pi or
288 × 3.14 = 904.32 units³
Answer:
24
Step-by-step explanation:
1/2(x1+x2)c x1=3 , x2=5 , c=6
:- 1/2(3+5)6 ( BODMAS)
:- 1/2(8)6 divide 8 by 1/2
:- (4)6 multiply both of them and the result = 24
Answer:
i)The correct option is D.) 99.74%
ii) The correct option is B.) 68.26%
Step-by-step explanation:
i) P(10≤X≤70) = P( (10−40)/10 ≤Z≤ (70−40
)/10 ) = Pr(−3≤Z≤3)
= 0.9987 - 0.0013 = 0.99734
Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%
ii)P(2.1≤X≤3.1) = P( (2.1 − 2.6) /0.5 ≤ Z ≤ (3.1−2.6
)/0.5) = Pr(−1 ≤Z ≤1)
)
= 0.8413 − 0.1587 = 0.6826
Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%
Answer:
Jim's current weight = 119 pounds
Step-by-step explanation:
1 Stone = 14 pounds
stone = 1.5 stone
1.5 stone = 1.5 (14 pounds) = 21 pounds
Jim lost 21 pounds
Let X be Jim's Original Weight
Y be his present weight
As per given statement in the Question:
After losing 1.5 stones (21 pounds of weight) Jim now weighs Y
Present weight = original weight - 21
Y = X -21 <u> Equation 1</u>
Also Current Weight = 85 % (Original weight)
Y = 85 % (X) =![\frac{85X}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B85X%7D%7B100%7D)
Y=![\frac{85X}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B85X%7D%7B100%7D)
put in Equation 1
= X-21
85X = (X-21) 100
85 X = 100 X -2100
or
2100 = 100 X - 85X
2100 = 15X
or
15 X = 2100
![X=\frac{2100}{15}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B2100%7D%7B15%7D)
X= 140 pounds ( Original Weight)
Current Weight = Y = Original weight - 21 <u><em>(From Equation 1)</em></u>
Y = X -21
Y = 140 -21
Y = 119 pounds (Current Weight)