What is the measure of each interior angle of a regular dodecagon?

According to a Field Poll conducted February 8 – 17, 2005, 79% of California adults (actual results are 400 out of 506 surveyed)

Jobisdone [24]

Answer: (0.760, 0.820)

Step-by-step explanation:

Let p be the population proportion of all adults feel that "education and our schools" is one of the top issues facing California.

Given : 79% (actual results are 400 out of 506 surveyed) of California adults feel that "education and our schools" is one of the top issues facing California.

i.e.Sample size : n= 506

Sample proportion : $\hat{p}=0.79$

Critical value for 90% confidence interval ( Using z-value table) :

$z=1.645$

Now, the 90% confidence interval for the population proportion will be :

$\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.79\pm (1.645)\sqrt{\dfrac{0.79(1-0.79)}{506}}$

i.e. $0.79\pm (1.645)(0.0181)$

$\approx0.79\pm 0.030=(0.79-0.030,\ 0.79+0.030)\\\\=(0.760,\ 0.820)$

Hence, the 90% confidence interval for the population proportion= (0.760, 0.820)

7 0

3 years ago

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a

enyata [817]

Complete Question

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.

a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies

a-2) What is the standard deviation?

a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?

Answer:

a-1 $\= x = 11 .52$

a-2 $\sigma = 2.036$

a-3 $P(3) = 4.7*10^{-5}$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 18$

The proportion of adult that felt the U.S. Treasury should continue making pennies is p = 0.64

The proportion of adult that feel otherwise is

$q = 1- p = 1-0.64 = 0.36$

The mean is mathematically evaluated as

$\= x = n * p$

substituting values

$\= x = 18 * 0.64$

$\= x = 11 .52$

The standard deviation is mathematically represented as

$\sigma = \sqrt{ npq}$

substituting values

$\sigma = \sqrt{18 * 0.64 * 0.36}$

$\sigma = 2.036$

The likelihood that 3 adult would indicate the Treasury should continue making pennies is mathematically evaluated as

$P(3) = \left n} \atop \right. C_3 (p)^{3} * (q)^{n-3}$

Now

$\left n} \atop \right. C_3 = \frac{n! }{[n-3] ! 3!}$

substituting values

$\left n} \atop \right. C_3 = \frac{18! }{[15] ! 3!}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 }{ (3 *2 *1 )}$

$\left n} \atop \right. C_3 = 816$

So

$P(3) = 816 * (0.64 )^3 * (0.36 )^{18-3}$

$P(3) = 4.7*10^{-5}$

8 0

3 years ago

1) A contestant must be at least 15 years old to appear on a talent show.

Tomtit [17]

Yes, (must be at least 15 years old)

3 0

3 years ago

Read 2 more answers

Help asap plz, dhdbdjbdjc

snow_lady [41]

Answer:

First find the number belonging to the green box

5 0

3 years ago

A football team has a net yardage of −22 1 /3 yards on a series of plays. The team needs a net yardage of 10 yards to get a firs

shtirl [24]

Answer: 36(1/3) yards. If thats an option not 100% sure tho.

Step-by-step explanation:

Mark me brainliest.

4 0

3 years ago