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3 years ago

In a circle, an angle measuring 5.5 radians intercepts an arc of length 8.4. Find the radius of the circle to the nearest

Mathematics

1 answer:

alisha [4.7K]3 years ago

5 0

Answer:

el2 leeoe ueboeb 3oebej lek3owk elebeoee lee debe od kioliojnledesededeeeeeeeee 3días de tu experiencia en el paisaje y en la vida de una persona que se trata de la costa de tu casa con la misma persona con el globito de una vez y que estas haciendo lo mejor que me voy arriba donde te vas de la costa y te vas de la casa de la costa y te vas de una persona a que te vas de la costa de tu vida con tu familia en la tarde de este año te vas de una persona a

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Elza [17]

The equation is y=1x-2

Step-by-step explanation:

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3 years ago

A university has 29,970 students. In a random sample of 285 students, 19 speak three or more languages. Predict the number of st

hodyreva [135]

Set up a proportion.
Let x = the number of students in 29970 who speak 3 or more languages.

285/19 = 29970/x Cross multiply
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3 years ago

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nikdorinn [45]

Answer:

x=45

Step-by-step explanation:

Because angles that are vertical to each other are congruent that means 2x+6=96

-6 -6

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3 years ago

Jack is learning to save, spend, and give his money away. He had determined to give away 10% of his summer job earnings. If he g

nadezda [96]

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4 years ago

Read 2 more answers

The National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time requir

Paha777 [63]

Answer:

95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Step-by-step explanation:

We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean time = 5.15 years

$\sigma$ = sample standard deviation = 1.68 years

n = sample of college graduates = 4400

$\mu$ = population mean time

Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $5.15-1.96 \times {\frac{1.68}{\sqrt{4400} } }$ , $5.15+1.96 \times {\frac{1.68}{\sqrt{4400} } }$ ]

= [5.10 , 5.20]

Therefore, 95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

8 0

3 years ago