Answer:
50percent
Step-by-step explanation:
Answer:
The probability that the dogs are blue eyed and deaf is 13.02%.
Step-by-step explanation:
We are given the following information in the question:
P(Blue eyes) = 31%
P(Deaf) = 38%
P(Deaf | Blue eyes) = 42%
Formula for conditional probability:
![P( A|B) = \displaystyle\frac{P(A \cap B)}{P(B)}](https://tex.z-dn.net/?f=P%28%20A%7CB%29%20%3D%20%5Cdisplaystyle%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28B%29%7D)
Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.
![P( \text{ Deaf}|\text{Blue eyes}) = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{P(\text{Blue eyes})}\\\\0.42 = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{0.31}\\\\P( \text{Deaf} \cap \text{Blue eyes}) = 0.42\times 0.31 = 0.1302 = 13.02\%](https://tex.z-dn.net/?f=P%28%20%5Ctext%7B%20Deaf%7D%7C%5Ctext%7BBlue%20eyes%7D%29%20%3D%20%5Cdisplaystyle%5Cfrac%7BP%28%20%5Ctext%7BDeaf%7D%20%5Ccap%20%5Ctext%7BBlue%20eyes%7D%29%7D%7BP%28%5Ctext%7BBlue%20eyes%7D%29%7D%5C%5C%5C%5C0.42%20%3D%20%5Cdisplaystyle%5Cfrac%7BP%28%20%5Ctext%7BDeaf%7D%20%5Ccap%20%5Ctext%7BBlue%20eyes%7D%29%7D%7B0.31%7D%5C%5C%5C%5CP%28%20%5Ctext%7BDeaf%7D%20%5Ccap%20%5Ctext%7BBlue%20eyes%7D%29%20%3D%200.42%5Ctimes%200.31%20%3D%200.1302%20%3D%2013.02%5C%25)
Hence, the probability that the dogs are blue eyed and deaf is 13.02%.
Answer:
![(f+g) (x)=\mid 3x+5\mid+13](https://tex.z-dn.net/?f=%28f%2Bg%29%20%28x%29%3D%5Cmid%203x%2B5%5Cmid%2B13)
Step-by-step explanation:
<u>Operation of Functions</u>
Given:
![f(x)=\mid 3x+5\mid+6](https://tex.z-dn.net/?f=f%28x%29%3D%5Cmid%203x%2B5%5Cmid%2B6)
![g(x)=7](https://tex.z-dn.net/?f=g%28x%29%3D7)
The sum of (f+g) (x) is:
![(f+g) (x)=\mid 3x+5\mid+6+7](https://tex.z-dn.net/?f=%28f%2Bg%29%20%28x%29%3D%5Cmid%203x%2B5%5Cmid%2B6%2B7)
We cannot operate with the expression inside the absolute bars, thus:
![\boxed{(f+g) (x)=\mid 3x+5\mid+13}](https://tex.z-dn.net/?f=%5Cboxed%7B%28f%2Bg%29%20%28x%29%3D%5Cmid%203x%2B5%5Cmid%2B13%7D)
Answer:
$20.63 if you tip on the pre-tax amount
Step-by-step explanation:
You pay $12.99 for the pizza, plus the 8% tax on the pizza, plus the 20% tip of the cost of the pizza, so if you tip on the pre-tax amount, you pay
$12.99(0.08) = $1.04 in sales tax
$12.99(0.2) = $2.60 for the tip
and $4 delivery charge,
so you pay a total of
$12.99 + $1.04 + $2.60 + $4 = $20.63
Original is the whole = 5/5
After reduction is 2/5
2/5 =0.4 = 40%
Draw a rectangle.
Divide it in 5 parts
Shade 2 parts.
This is the new dimension 2/5 or 40%