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3 years ago

What is the approximate circumference of the circle shown below

Mathematics

2 answers:

netineya [11]3 years ago

8 0

Answer:

Step-by-step explanation:

to find circumference of a circle you need to multiple r (7 in here) with 2 and pi

therefore the answer is : 2x7x3 = 42 or 44 approximately

Rina8888 [55]3 years ago

6 0

Answer:

$C\approx44\: cm$

Step-by-step explanation:

1) The Circumference of a Circle is its Perimeter given by $C=2\pi r$ . In this case, signed by a red line.

2) And $\pi \approx3.14$ with the given radius of 7 cm

3) Hence,

$C=2*3.14*7\Rightarrow C\approx44\: cm$

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Mark's age, x , is 6 times his age 2 years ago. which equation represents the statement?

AlekseyPX

Answer:

x = 6(x - 2)

Step-by-step explanation:

His age now is x.

His age 2 years ago was x - 2.

x = 6(x - 2)

5 0

2 years ago

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

Maksim231197 [3]

Answer:

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

The sample proportion is $\r p = 0.09$

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

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

The widths of two similar rectangles are 10 m and 15 m. What is the ratio of the perimeters? Of the areas?

vitfil [10]

Area and perimeter are in the ratio of 1:3. but if u mean to ask about the ratio of perimeters & areas of both triangles. the answer would be 1:1

6 0

2 years ago

Whats two-thirds of four-fifths of a dozen

leonid [27]

Answer:

Step-by-step explanation:

2/3*4/5*12 =
32/5 =
6.4

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3 years ago

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Simplify (7x+42)/(x^2+13x+42)

Colt1911 [192]

$\frac{7x+42}{x^2+13x+42}= \frac{7(x+6)}{x^2+7x+6x+42}= \frac{7(x+6)}{x(x+7)+6(x+7)}= \frac{7(x+6)}{(x+6)(x+7)}= \frac{7}{x+7}$

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3 years ago

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