Answer:
3
Step-by-step explanation:
I used a graph
Answer:
To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.
Step-by-step explanation:
As we can see that common difference is increasing to one more digit after every term
so it means
a21 = 231
Answer:
The total amount of money pays by Adrian is $14.5 .
Step-by-step explanation:
As given
Adrian purchases six tubes of paint and three paint brushes at a craft store.
Each tube of paint cost $2.50 each paint brush cost $0.50 .
Total cost of the 6 tubes of paints and 3 paint brushes = 6 × Cost of each tube of paint + 3 × Cost of each paint brush cost .
Putting the values in the above
Total cost of the 6 tubes of paints and 3 paint brushes = 6 × 2.50 + 0.50 × 3
= 15 + 1.5
= $16.5
As given
Adrian has a coupon for $2 of his purchase .
Total amount money pay by Adrian = Total cost of the 6 tubes of paints and 3 paint brushes - Coupon cost
Putting the values in the above
= $16.5 - $2
= $ 14.5
Therefore the total amount of money pays by Adrian is $14.5 .
Answer:
i)
ii)
And replacing we got:
![P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%203%29%20%3D%201-%20%5B0.00317%2B0.0211%2B0.0669%5D%3D%200.90883)
iii) 
Step-by-step explanation:
Let X the random variable of interest "number of inhabitants of a community favour a political party', on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part i
We want this probability:
Part ii
We want this probability:
And we can use the complement rule and we have:

And if we find the individual probabilites we got:
And replacing we got:
![P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%203%29%20%3D%201-%20%5B0.00317%2B0.0211%2B0.0669%5D%3D%200.90883)
Part iii
We want this probability:

And replacing we got:
