Answer:The cost of one month of game-play =$20
Step-by-step explanation:
Let the cost of one month of gameplay be x
Then cost of game-play bought by Angie =3x.....(1)
and Then cost of game-play bought by Kenny=4x......(2)
Cost of each software package =$50......(3)
The the total cost =240= sum of costs of software bought by both of them and game-play)=50+50+3x+4x
⇒240=100+7x.......→(by adding like terms)
⇒140=7x⇒x=20.....→( dividing both sides by 7 )
∴the cost of one month of game-play =$20
Answer:
Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.
Step-by-step explanation:
We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.
Firstly, Let X = women's gestation period
The z score probability distribution for is given by;
Z =
~ N(0,1)
where,
= average gestation period = 270 days
= standard deviation = 9 days
Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X
261)
P(X < 279) = P(
<
) = P(Z < 1) = 0.84134
P(X
261) = P(
) = P(Z
-1) = 1 - P(Z < 1)
= 1 - 0.84134 = 0.15866
<em>Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68</em>
Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.
Set equations for both containers:
Condition one: $y=2x$
Condition two: $(y-3)=4.5(x-2)$
plug in $y$ from condition one into the second equation:
$2x-3=4.5x-9$
simplify gives: $2.5x=6$
$\boxed{x=2.4}$
$\boxed{y=4.8}$
Answer:
♡ madeline here ♡
1+1=2 i'm so sorry i am late! ☆
have a great day! hope this helps.
- madeline/madi
✧・゚: *✧・゚:・゚✧*:・゚✧・゚
Step-by-step explanation: