Answer:
x = 
Step-by-step explanation:
Given
6x =
( divide both sides by 6 )
x =
=
×
=
= 
Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:


To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5,
= 25,
= 3.536
Using the z test statistics;



z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06
Answer:
x = 19
Step-by-step explanation:
The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.
x-coefficient: -1/3
inverse of x-coefficient = 1/(-1/3) = -3
Then you have ...

He sold 12 candy bars.
3x + 5y = 76
X + y = 20
2y= 16
Y= 8
X= 20 - 8= 12
Hope this helps.