10 - are defective
50 - 10 = 40 - aren't defective
![\overline{\overline{A}}= 40 \\ \\ \overline{\overline{\Omega}}=50 \\ \\ P(A)=\dfrac{\overline{\overline{A}}}{\overline{\overline{\Omega}}}=\dfrac{40}{50}=\dfrac{80}{100}=80\%](https://tex.z-dn.net/?f=%5Coverline%7B%5Coverline%7BA%7D%7D%3D%2040%20%5C%5C%20%5C%5C%20%5Coverline%7B%5Coverline%7B%5COmega%7D%7D%3D50%20%5C%5C%20%5C%5C%20P%28A%29%3D%5Cdfrac%7B%5Coverline%7B%5Coverline%7BA%7D%7D%7D%7B%5Coverline%7B%5Coverline%7B%5COmega%7D%7D%7D%3D%5Cdfrac%7B40%7D%7B50%7D%3D%5Cdfrac%7B80%7D%7B100%7D%3D80%5C%25)
The probablity is 80%.
Answer:
-1+3i
Step-by-step explanation:
![\sqrt{25} - \sqrt{ - 25} - \sqrt{36} - \sqrt{ - 4}](https://tex.z-dn.net/?f=%20%5Csqrt%7B25%7D%20%20-%20%20%5Csqrt%7B%20-%2025%7D%20%20-%20%20%5Csqrt%7B36%7D%20%20-%20%20%5Csqrt%7B%20-%204%7D%20)
Sqr root of 25 and 36 are 5 and 6 respectively
Sqr root of -25 and -4 are 5i and 2i respectively
Combine like with like
5-6=-1
5i-2i=3i
-1+3i
You can use SAS since you know one pair of sides are congruent and AC splits them so those must make those sides equal. And since those sides, DC and BC, are congruent, the angles must be as well. You can use numbers to prove the angles of D and B or just use that when 2 sides and an angle are congruent, the 3rd side must be congruent.
The line is wrong you would have to put a dot on -3 and then go up two and one over to the right and make a line
Answer:
Step-by-step explanation:
The formula is
![y=45(4)^x](https://tex.z-dn.net/?f=y%3D45%284%29%5Ex)
which models the exponential function
where a is the initial amount of whatever it is you have (in our case it's bacteria), b is the growth rate (ours is 4 which means that every day the number from the day before increases by a factor of 4), and x is the number of days. We plug into the formula the values we have, starting with x = 1:
![y=45(4)^1](https://tex.z-dn.net/?f=y%3D45%284%29%5E1)
Always raise what's inside the parenthesis first, then multiply in the 45. 4 to the first is 4, and 4 multiplied by 45 is 180. After the first day, there are 180 bacteria present in the culture.
Next, x = 2:
which simplifies to
y = 45(16) so
y = 720.
Next, x = 3:
which simplifies to
y = 45(64) so
y = 2880