Answer:
5. 43 / 6
6. 8.027778
2. -0.167
4. 1.5
Step-by-step explanation:
5. Conversion a mixed number to a improper fraction: 9 2/3 = 9 · 3 + 2 /3 = 29/3
Conversion a mixed number to a improper fraction: 2 1/2 = 2 · 2 + 1 /2 = 5/2
Subtract: 29/3 - 5/2 = 29 · 2 / 3 · 2 - 5 · 3 / 2 · 3 = 58 / 6 - 15 / 6 = 58 - 15 / 6 = 43 / 6
6. 2 4/9 + 5 7/12 = 289 / 36 = 81 / 36 = 8.027778
2. 3/4 - 11/12 = -1 / 6 =-0.1666667
4. 1 9/10 - 2/5 = 3 / 2 = 11 / 2 = 1.5
Answer:
Replace the 4 with a 3 to make the equation true
Isolate the variable by dividing each side by factors that don't contain the variable.
x = −1
Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:

For X=12.04 days:

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is

This is system of Equations.
<span>2x + 3y =10
x + y = 3
</span>
x + y = 3 (multiply this by three) to get 3x + 3y = 9
2x + 3y =10
3x + 3y = 9 Subtract them
-1x = 1
x=-1
Now plug x back into the top equation and solve for y.
I hope this helps! If not, let me know! Have a fantastical day!