Select the correct answer.

I need help with underlined problems.

vaieri [72.5K]

#7 is 0.04 and it is a terminating decimal

4 0

3 years ago

Which of these phrases contain a variable? Check all that apply.

kaheart [24]

Answer:

The length of the hall way

the weight of the wombat

4 0

3 years ago

Read 2 more answers

Confused, dont know how to do it, need help

pickupchik [31]

Let C and d be the circumference and diameter of a circle, respectively. Then

C = πd

so that

π = C/d = C/12

3 0

2 years ago

A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (7). Give the sample space describing al

Fynjy0 [20]

Answer:

A). {HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}

(B). {HHH, HHT, THH, THT}

Step-by-step explanation:

Given:

A coin is to be tossed three times and each tossed will be recorded as Head(H) and Tails(T).

To Find:

(a). Sample Space

(b). Event that the second toss is Heads

Explanation:

(A). Sample Space: When a coin is tossed 3 times

{HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}

(B). Event that second toss is Head

{HHH, HHT, THH, THT}

6 0

3 years ago

Life rating in Greece. Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 randomly sa

elena-s [515]

Answer:

a

The population parameter of interest is the true proportion of Greek who are suffering

While the point estimate of this parameter is proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%

b

The condition is met

c

The 95% confidence interval is $0.223 < p < 0.277$

d

If the confidence level is increased which will in turn reduce the level of significance but increase the critical value( $Z_{\frac{\alpha }{2} }$ ) and this will increase the margin of error( deduced from the formula for margin of error i.e $E \ \alpha \ Z_{\frac{\alpha }{2} }$ ) which will make the confidence interval wider

e

Looking at the formula for margin of error if the we see that if the sample size is increased the margin of error will reduce making the confidence level narrower

Step-by-step explanation:

From the question we are told that

The sample size is n = 1000

The population proportion is $\r p = 0.25$

Considering question a

The population parameter of interest is the true proportion of Greek who are suffering

While the point estimate of this parameter is proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%

Considering question b

The condition for constructing a confidence interval is

$n * \r p > 5\ and \ n(1 - \r p ) >5$

So

$1000 * 0.25 > 5 \ and \ 1000 * (1-0.25 ) > 5$

$250 > 5 \ and \ 750> 5$

Hence the condition is met

Considering question c

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 margin of error is mathematically represented as

$E = Z_\frac{ \alpha }{2} * \sqrt{ \frac{\r p (1 - \r p ) }{n} }$

substituting values

$E = 1.96 * \sqrt{ \frac{ 0.25 (1 - 0.25 ) }{ 1000} }$

$E = 0.027$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

substituting values

$0.25 - 0.027 < p < 0.25 + 0.027$

substituting values

$0.223 < p < 0.277$

considering d

If the confidence level is increased which will in turn reduce the level of significance but increase the critical value( $Z_{\frac{\alpha }{2} }$ ) and this will increase the margin of error( deduced from the formula for margin of error i.e $E \ \alpha \ Z_{\frac{\alpha }{2} }$ ) which will make the confidence interval wider

considering e

Looking at the formula for margin of error if the we see that if the sample size is increased the margin of error will reduce making the confidence level narrower

5 0

3 years ago