PLEASE HELP ASAP! Thanks!!!!! Explain:

Mathematics

1 answer:

Verdich [7]3 years ago

5 0

Answer:

(3, 3) and (15, 15)

Step-by-step explanation:

The points equidistant from the given point and the y-axis lie on the parabola that has (3,6) as its focus and the y-axis as its directrix. The equation for that can be simplified from ...

(x -3)^2 +(y -6)^2 = x^2

-6x +9 +y^2 -12y +36 = 0 . . . . . subtract x^2, eliminate parentheses

We can find the points that lie on the line y=x (equidistant from both axes) by substituting y for x or vice versa. Then we have the quadratic ...

x^2 -18x +45 = 0 . . . . substitute x for y and collect terms

(x -3)(x -15) = 0 . . . . factor it

x = 3 or 15

So, the points of interest are (x, y) = (3, 3) and (x, y) = (15, 15).

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yawa3891 [41]

Answer:

Step-by-step explanation:

pop 1 n₁ = 260, p₁ = 58% = 0.58

pop 2 n₂ = 260, p₂ = 8% = 0.08

Null hypothesis: p₁ ≤ p₂

Alternative hypothesis: p₁ > p₂

The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}

where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂

Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.

Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)

= 0.5 / √[0.33(0.67) (0.0076)

= 0.5 / √0.00168036

= 0.5 / 0.04099

= 12.20

P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.

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3 years ago

The graph of an exponential function is shown on the grid.

aliya0001 [1]

Answer:

????

Step-by-step explanation:

Where is the picture?

P.S. I am not answering this question JUST to get points, I will actually revise my answer correctly once you add in a picture! :)

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2 years ago

Solve the equation.