12 rows of 2 also model a product of 24; 2 × 12 = 24; 12 × 2 = 24. Use Two-Color Counters to build each model. Write number sentences that show the Commutative Property of Multiplication. Using Two-Color Counters, model the Commutative Property of Multiplication for each pair of factors.

7 0

4 years ago

What expression represents the volume of the cone in cubic units

AleksAgata [21]

Answer:

$Volume=\frac{2}{3} \, \pi \,x^3$ which agrees with the first answer listed among your options

Step-by-step explanation:

Volume of cone: $\frac{1}{3} Base\,*\,height$

So in our case:

1) Base s a circle, of radius "x" then the surface of this is: $Area = \pi \,r^2 =\pi\,x^2$

2) the cone's height is "2x"

Therefore the cone's volume is: $Volume=\frac{1}{3} \pi x^2\,(2x)=\frac{2}{3} \, \pi \,x^3$

7 0

3 years ago

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A company uses three different assembly lines- A1, A2, and A3- to manufacture a particular component. Of thosemanufactured by li

hammer [34]

Answer:

The probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.

Step-by-step explanation:

The three different assembly lines are: A₁, A₂ and A₃.

Denote R as the event that a component needs rework.

It is given that:

$P (R|A_{1})=0.05\\P (R|A_{2})=0.08\\P (R|A_{3})=0.10\\P (A_{1})=0.50\\P (A_{2})=0.30\\P (A_{3})=0.20$

Compute the probability that a randomly selected component needs rework as follows:

$P(R)=P(R|A_{1})P(A_{1})+P(R|A_{2})P(A_{2})+P(R|A_{3})P(A_{3})\\=(0.05\times0.50)+(0.08\times0.30)+(0.10\times0.20)\\=0.069$

Compute the probability that a randomly selected component needs rework when it came from line A₁ as follows:

$P (A_{1}|R)=\frac{P(R|A_{1})P(A_{1})}{P(R)}=\frac{0.05\times0.50}{0.069} =0.3623$

Thus, the probability that a randomly selected component needs rework when it came from line A₁ is 0.3623.

6 0

3 years ago

Sofia still lives at home, but helps with the rent paying $200 per month. She has a job that pays about $700 per month after tax

OlgaM077 [116]

It is answer Budget A

5 0

4 years ago

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