Make a Graph Ms. McGill has 8 containers of liquid in her refrigerator. Three of the containers hold a pint. 38 of

What positive integer is closest to the value of √230 ?

xeze [42]

Answer:

15

Step-by-step explanation:

sqrt230=15.165...

9 0

3 years ago

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A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

a

The 95% confidence interval is $0.0503 < p < 0.1297$

b

The sample proportion is $\r p = 0.09$

c

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

d

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

Whats the center and radius of (x+3)^2+(y-5)^2=64

Alexandra [31]

Answer:

The answer to your question is Center = (-3, 5) radius = 8

Step-by-step explanation:

Data

(x + 3)² + (y - 5)² = 64

Process

Because of the characteristics of the equation, we conclude that it is a circle.

Standard form of a circle:

(x - h)² + (y - k)² = r²

In this form of the equation, the center has coordinates (h, k), just change the signs.

And to get the radius, just get the square root of r²

h = -3

k = 5

r = 8

Center = (-3, 5)

radius = 8

5 0

3 years ago

Gambar grafik fungsi kuadrat dari y=x²-x-6

sveticcg [70]

-x^2-x+y-6 Should be right
y=x^2-x-6 = x^2-x+y-6

4 0

3 years ago

Which statements are true? Check all that apply.

k0ka [10]

Answer:

A sphere has no faces && the lateral surface of a cylinder is in the shape of a rectangle when unrolled

Step-by-step explanation:

I got it right on edg

6 0

3 years ago

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