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3 years ago

A circle with circumference12 has an arc with a 330∘ degree central angle. What is the length of the arc?

1 answer:

4 0

The formula for arc length which is measured in units not degrees is $\frac{ \beta }{360} *2 \pi r$ , where 2 pi r is the circumference. We were given the circumference as 12 pi, so we can fill in the rest of the formula and the find the length of the arc that is intercepted by that 330° angle. $\frac{330}{360} *12 \pi$ gives us, after multiplying in the pi, an arc length of 34.56 units.

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A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r

olasank [31]

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

Step(I):-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

$p_{1} = \frac{360}{390} = 0.9230$

second sample proportion

$p_{2} = \frac{47}{52} = 0.9038$

Step(ii):-

Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

$Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }$

where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }$

P = 0.920

$Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}$

Test statistic Z = 0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

7 0

3 years ago

your savings grow by $126 per week and by week 43 you have $5763 how much money did you have by week 0

Cerrena [4.2K]

Answer:

345(I think)

Step-by-step explanation:

8 0

3 years ago

1. What is the value of the expression f2 + 5 if f = 3? A. 8 B. 2 C. 6 D. 14

zaharov [31]

Option D: 14 is the right answer

Step-by-step explanation:

In order to find the value of given expression we have to put the given value for f in the expression

Given expression is:

$f^2+5$

We have to find the value of expression on f=3

So,

putting f=3 in expression

$= (3)^2+5\\= 9+5\\=14$

The value of given expression at f=3 is 14

Hence,

Option D: 14 is the right answer

Keywords: expressions, variables

Learn more about expressions at:

#LearnwithBrainly

8 0

3 years ago

Write each fraction as a percent 1) 77/100 2) 3/10 3) 27/50

ValentinkaMS [17]

Think of this, 77/100 is 0.77. 0.77 is 77%.
Just use this for the rest of the questions.

4 0

3 years ago

Read 2 more answers

-6y^2 + 9y^2 - y - 9 - 7y^2 + 1 + 10y + 3y

taurus [48]

Answer: -4y^(2)+12y-8

Step-by-step explanation: Combine like terms

6 0

3 years ago

Read 2 more answers