Answer:
40%
Step-by-step explanation:
3 + 2 = 5
Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%
Hope this helped!
<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.
<u>Let's calculate theor individual work rate</u> :
Felix's rate = 1/90
Oscar's rate = 1/120
Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360
<u>Time taken for both of the to decorate 8 dozens</u> :
Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes
<u>Hence, the time taken to decorate 16 dozens will be</u> :
(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).
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Answer:
0.2364
Step-by-step explanation:
We will take
Lyme = L
HGE = H
P(L) = 16% = 0.16
P(H) = 10% = 0.10
P(L ∩ H) = 0.10 x p(L U H)
Using the addition theorem
P(L U H) = p(L) + P(H) - P(L ∩ H)
P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)
P(L U H) = 0.26 - 0.10p(L u H)
We collect like terms
P(L U H) + 0.10P(L U H) = 0.26
This can be rewritten as:
P(L U H)[1 +0.1] = 0.26
Then we have,
1.1p(L U H) = 0.26
We divide through by 1.1
P(L U H) = 0.26/1.1
= 0.2364
Therefore
P(L ∩ H) = 0.10 x 0.2364
The probability of tick also carrying lyme disease
P(L|H) = p(L ∩ H)/P(H)
= 0.1x0.2364/0.1
= 0.2364
Solution,
y = -x-4......(i)
3x + y =- 16.......(ii)
Now,
Substituting the value of y in equation (ii)
or, 3x + (-x-4)= -16
or,3x - x - 4 = -16
or, 2x= -16 +4
or, x = -12/2
: x = -6
Then,
Substituting the value of x in (i) equation;
or,y= -(-6) - 4
or,y= 6 - 4
: y =2
