Hello hereb is a solution :
Answer:
x is 48 y is 12 z=50
Step-by-step explanation:
x+y+z=110
x=4y
4y+2=z
4y+y+4y+2=110
9y+2=110
9y=108
y=12
x=48
z=50
Hope this helps!
Answer:
706.50 cubic cm.
Step-by-step explanation:
Given that a cylinder shaped juice pitcher has a diameter of 12 cm and a height of 25 cm.
We are to find out the t volume of juice does the pitcher contain when it is 25% full. 3.14 is to be used for pi.
Volume of the cylinder = 
When it is 25% full the volume would be 1/4 of the full volume
=
cubic cm
So volume when 25% full is
706.50 cubic cm.
Multiplying out the expression, you get
2x^2 -(1/3)x . . . . . . matches selection D
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days.
That is,
Consider X be the length of the pregnancy
Mean and standard deviation of the length of the pregnancy.
Mean 
Standard deviation \sigma =15
For part (a) , to find the probability of a pregnancy lasting 308 days or longer:
That is, to find 
Using normal distribution,



Thus 
So 




Thus the probability of a pregnancy lasting 308 days or longer is given by 0.00256.
This the answer for part(a): 0.00256
For part(b), to find the length that separates premature babies from those who are not premature.
Given that the length of pregnancy is in the lowest 3%.
The z-value for the lowest of 3% is -1.8808
Then 
This implies 
Thus the babies who are born on or before 238 days are considered to be premature.