Y= 2/3x +12 .................
Answer:
21
Step-by-step explanation:
Answer:
The probability of getting exactly 6 girls in 8 births is 0.1093
Step-by-step explanation:
Given : 6 girls in 8 births.
To find : The probability of getting exactly 6 girls in 8 births.
Solution :
The probability of getting girl is 
The probability of getting 6 girl is 
Since we have 6 girls,
We also need to find the probability of getting 2 boys, which is
There are 
ways to get 6 girls in 8 births
i.e, 
There are 28 ways to get 6 girls in 8 births.
The probability of getting exactly 6 girls in 8 births.
Therefore, The probability of getting exactly 6 girls in 8 births is 0.1093
Answer:
A. x = 6
Step-by-step explanation:
I know this can look intimidating. But don't let that stop you. First the little 2 above the x means 'squared' or 'to the power of'.
And all this is asking for is 'what squared = 36?' And square is really just a number times itself. For example 3 squared is 9, or 3 x 3 = 9. A really simple way to do this if you don't know the answer by looking at it is to just square root of 36. And you can do that on your calculator. (It is this little symbol, √) and you just click 36 and then √ and it should give you 36. And then to check if you are right, just do 6 squared, or 6 x 6.
Good luck!
Alright let's start by noting that due to it having a square bottom and top the Length is equal to the Width. They gave us the surface area, but what we need is the length/width of the square top/bottom. So let's take the surface area and make it equal to the equation for the surface area of a rectangular prism (our shape):
192cm^2 = 2(lw + lh + hw)
Let's replace all the "l's" with w's (we can do this due to the fact that the length (l) equals the width (w) (l = w))
192cm^2 = 2(w*w + wh + hw)
192cm^2 = 2(w^2 + 2wh)
We know what the height (h) is as it is given in the problem (5cm).
192cm^2 = 2(w^2 + 2*5w)
192cm^2 = 2(w^2 + 10w)
Divide 2 on both sides.
96cm^2 = w^2 + 10w
Subtract 96 on both sides.
0 = w^2 + 10w - 96
Factor it out.
0 = (w - __)(w + ___)
0 = (w - 6)(w+16)
We have two possible answers of:
w = 6
w = -16
The only answer which makes sense is the positive one, because a box in real life can't have negative length.
So,
w = 6 cm.
