It is more effective if I explain using examples. So, for multiplication, you just have to multiply the magnitude, then add the exponents of the base 10. For example, when you multiply 5.2×10³ and 1.6×10², the solution would be:

(5.2)(1.6)(10³⁺²) = 8.32×10⁵

Now, for division, you will have to divide the magnitudes, and subtract the exponents by numerator minus denominator. The solution is as follows:

(5.2/1.6)(10³⁻²) = 3.25×10¹

5 0

4 years ago

Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS? answer: A) ∠C ≅ ∠L B)

anzhelika [568]

Answer:

B) ∠B ≅ ∠K

Step-by-step explanation:

The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).

7 0

3 years ago

At a restaurant, 80 percent of the diners are new customers P(N)=0.8, while 20 percent are regular customers P(N’)=0.2. And, 50

Rina8888 [55]

Answer:

c. 0.7404

Step-by-step explanation:

We can use Bayes Formula,

$P(N|C) = \frac{P(C|N)*P(N)}{P(C)}$

We know every single value of that expression except P(C). We can calculate C by dividing into 2 cases: if the customer is new or not.

By the total probability theorem, we know that P(C) = P(C|N)*P(N) + P(C|N')*P(N') = 0.5*0.8 + 0.7*0.2 = 0.4+0.14 = 0.54

We replace P(C) on the equation above and we obtain

$P(N|C) = \frac{P(C|N)*P(N)}{P(C)} = \frac{0.5*0.8}{0.54} = 0.7407$

Thus, P(N|C) = 0.7407. Answer c is correct

I hope this helped you!

4 0

3 years ago