Both are similar, so Yes.

-All the sides of the squares are equal

-The triangles are also the same, just one is smaller. The one on the right is 2/3 of the one on the left.

8 0

2 years ago

In a random sample of 16 residents of the state of Washington, the mean waste recycled per person per day was 2.8 pounds with a

kakasveta [241]

Answer: The required confidence interval would be (2.72,2.89)

Step-by-step explanation:

Since we have given that

Mean = 2.8 pounds

Standard deviation = 0.24 pounds

n = sample size = 16

We need to find the 80% confidence interval for the mean waste.

z=1.341

So, the confidence interval will be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=(2.8\pm 1.341\times \dfrac{0.24}{\sqrt{16}})\\\\=(2.8\pm 1.314\times 0.06)\\\\=(2.8-0.07884,2.8+0.07884)\\\\=(2.72116,2.87884)$

Hence, the required confidence interval would be (2.72,2.89)

4 0

3 years ago

What are the zeros of (x-2)(x^2-9)

WARRIOR [948]

$(x-2)(x^2-9)=0\iff x-2=0\ or\ x^2-9=0\\\\x-2=0\ \ \ \ |add\ 2\ to\ both\ sides\\\\\boxed{x=2}\\\\x^2-9=0\ \ \ \ |add\ 9\ to\ both\ sides\\\\x^2=9\iff x=\pm\sqrt9\to \boxed{x=-3\ or\ x=3}\\\\Answer:\boxed{x=-3\ or\ x=2\ or\ x=3}$

3 0

2 years ago