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2 years ago

Finding the distance between two points (-4,-3),(6,1)

Mathematics

1 answer:

Varvara68 [4.7K]2 years ago

6 0

Answer:

it's the first one

Step-by-step explanation:

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A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

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Find the unit rate<br><br> 8 hits in 22 games

Aleksandr [31]

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0.363636

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2 years ago

From the records of a health-insurance companies in Pennsylvania, it is known that 58% of the accounts include dental coverage.

kobusy [5.1K]

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Step-by-step explanation:

We know that the formula to find the standard deviation of the sample proportion is :

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}$

, where p = proportion of success.

n= sample size.

As per given , we have

p=0.58

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Then, the standard deviation of the sample proportion in this situation would be :

$\sigma_p=\sqrt{\dfrac{0.58(1-0.58)}{500}}\\\\=\sqrt{\dfrac{0.2436}{500}}\\\\=\sqrt{0.0004872}\\\\\approx0.0221$

Hence, the standard deviation of the sample proportion in this situation is 0.0221 .

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2 years ago

Finding the distance between two points (-4,-3),(6,1)​

Finding the distance between two points (-4,-3),(6,1)