Answer:
16 years
Step-by-step explanation:
Given data
For the first tree
let the expression for the height be
y=4+x--------------1
where y= the total height
4= the initial height
x= the number of years
For the second tree, the expression is
y=12+0.5x-------------2
Equate 1 and 2
4+x=12+0.5x
x-0.5x=12-4
0.5x= 8
x= 8/0.5
x=16
Hence it will take 16 years for both trees to have the same height
The answer would be 0.25... when multiplying by 10, shift the decimal place one to the right.
This triangle has 60 degrees already. Remember that the sum of all triangles have to be 180.
Since we have two y's we can simplify it as 2y + 60 = 180.
We can now set this up as an algebraic equation.
2y + 60 = 180
Subtract 60 from both sides.
2y = 120
Divide both sides by 2
y = 60.
Y = 60, your answer is D.)
I hope this helps!
Answer:
39,096,288
Step-by-step explanation:
as we know that
The number of ways to pick 5 numbers from 45 are
= 1,221,759.
There are 32 ways to pick a gold ball so total number of ways to get 6 matching numbers is
1221759×32
= 39,096,288
5 Girls + 3 Boys =8 (sample size)
Probability of choosing 1 boy P(1 B) = 3/8
Probability of NOT CHOOSING ANY BOY = 1-3/8 =5/8
Now apply the binomial probability to choose 3 Boys:
8C3(3/8)³(5/8)⁵ ==>P(All boys) = 0.28
