Answer:
(13,-23)
Step-by-step explanation:
Comparing the image coordinates to the transformation rule, you see that ...
(x -4, y +15) = (9, -8)
Adding (4, -15) to these coordinates, we get ...
(x -4, y +15) +(4, -15) = (9, -8) +(4, -15)
(x-4+4, y+15-15) = (9+4, -8-15)
(x, y) = (13, -23) . . . . coordinates of D
34 base five to 34 base ten is 19.
<u>Step-by-step explanation:</u>
Basically , In order to convert 34 from base 5 to base 10 , We skip consecutive 5 numbers after counting 5 numbers as shown below in table in base-5 table and , just increment 1 in base-10 table
<u>Base- 5 </u> <u>Base-10</u>
1 1
2 2
3 3
4 4
10 5
12 6
13 7
14 8
20 9
....... ....
34 19
34 base five to 34 base ten is 19.
Write the multiples of 5 (1,5,25,125,....) based on the no.of digits given. Then multiply and add to convert it into base 10
5 1
------------
3 4
------------
5 (3)+ 1(4) = 15+4 = 19
Answer:
Step-by-step explanation:
There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.
a) Select 3 apples with replacement. Find the probability that all there are green.
- Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:
- = (Number of green apples/Total apples)
Therefore 0.0130 is the required probability here.
b) Select 3 apples with replacement. Find the probability that none are red
Probability that none are red is computed here as:
- = (Number of non red apples/Total apples)
Therefore 0.14838 is the required probability here
c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples
- Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:
- = 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)
- = 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4
Therefore 0.6647 is the required probability here
d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.
- Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:
Therefore 0.3125 is the required probability here
<span><span><span><span>Simplify: x+3/</span>9</span><span><span>x / x+12/</span><span>x+6</span></span></span>
Rewrite the equation by multiplying the reciprocal of </span>
<span><span>x+12/<span>x+6
</span></span><span><span>Now the problem will be as follows, x+3</span>/9</span> ×<span> 6<span>/x+12
The answer is 2(x + 3) / 3 (x + 12).
</span></span></span>
So 12 more than half the regular price.
let's let

be the original price.

right?
Now you just have to solve from there.