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babunello [35]
3 years ago
11

Circumference of the circle

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

Step-by-step explanation:

The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.

In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)

stealth61 [152]3 years ago
8 0

Answer:

61.2

Step-by-step explanation:

circumference= 2πR

r=d/2

r= 19.5/2

r=9.75

circumference= 2×3.14×9.75

circumference= 61.2

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A report on the nightly news broadcast stated that 10 out of 129 households with pet dogs were burglarized and 23 out of 197 wit
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The test statistic for the hypothesis test is -1.202.

Step-by-step explanation:

We are given that a report on the nightly news broadcast stated that 10 out of 129 households with pet dogs were burglarized and 23 out of 197 without pet dogs were burglarized.

Let p_1 = population proportion of households with pet dogs who were burglarized.

p_2 = population proportion of households without pet dogs who were burglarized.

SO, Null Hypothesis, H_0 : p_1=p_2     {means that both population proportions are equal}

Alternate Hypothesis, H_A : p_1\neq p_2     {means that both population proportions are not equal}

The test statistics that would be used here <u>Two-sample z-test for</u> <u>proportions</u>;

                           T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of households with pet dogs who were burglarized = \frac{10}{129} = 0.08

\hat p_2 = sample proportion of households without pet dogs who were burglarized = \frac{23}{197} = 0.12

n_1 = sample of households with pet dogs = 129

n_2 = sample of households without pet dogs = 197

So, <u><em>the test statistics</em></u>  =  \frac{(0.08-0.12)-(0)}{\sqrt{\frac{0.08(1-0.08)}{129}+\frac{0.12(1-0.12)}{197} } } 

                                     =  -1.202

The value of z test statistics is -1.202.

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8/9 (54x - 36) + 2 = -3/4(-40 + 16x) + 90x. Solve for x
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