Answer:






Lower limit for confidence interval=0.5091
Upper limit for confidence interval=0.6001
Step-by-step explanation:
We have given,
x=254
n=458
Estimate for sample proportion= 
Level of significance is =1-0.95=0.05
Z critical value(using Z table)=1.96
Confidence interval formula is






Lower limit for confidence interval=0.5091
Upper limit for confidence interval=0.6001
Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
<h3>When should the t-distribution and the z-distribution be used?</h3>
- If we have the standard deviation for the sample, the t-distribution should be used.
- If we have the standard deviation for the population, the z-distribution should be used.
In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a <em>confidence level of 99%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.
More can be learned about the t-distribution at brainly.com/question/16162795
31/45 of 90 leaves him with 62. 3/7 of 62 makes 26.5 so yes he have money left to buy the hat
Answer:
It's option D. $24.900.00
Step-by-step explanation:
new car costs -----> $19,910.00
Stephen also has to pay 17.25% in taxes based off the cost of the car. This means he has to pay 17.25% of $19,910.00
= (17.25 / 100) × 19,910.00
= 0.1725 × 19,910.00 = $3434.475
The cost of taxes he has to pay is $3434.475
If he also purchases an extended warranty for $900.00
= $3434.475 + $900.00 = $4334.475
Now the questions asks us what is a reasonable estimate for the total price of the car? This means that we are looking for the actual cost of the new car + cost of tax + cost of extended warranty.
Total cost = $19,910.00 + $3434.475 + $900.00 = $24244.475
After looking at your answer choices the closest to this solution is option D.
Answer:
3.04
Step-by-step explanation: