Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
The standard error of the proportion is:
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
estimate the product.23.8*349
<span>Here are the answers to the following questions:
1. Write a ratio and a percent for the shaded area.
a 4x4 grid with 5 blocks shaded (1 point)
five sixteenths
2. Model 32% on a 5 × 5 grid. (1 point)
<span>a 5 by 5 grid has 8 cells shaded.
</span>
3. Write the ratio as a percent. In a car dealership’s lot, 6 Over 24 EndFraction of the cars are silver. (1 point)
0.25
4. Write the decimal as a percent. 0.09 (1 point) 0.0009
5. Write the percent as a decimal. 37.1% (1 point) <span>0.371
</span>
6. Order from least to greatest. 0.4, four-ninths, 40.5%, eleven-twenty-fifths
0.4, 0.44, 0.405, 0.44
(1 point)
</span>0.4, <span>40.5%, </span>four-ninths, eleven-twenty-fifths
<span>
7. In a candy bar, 165 calories are from sugar. There are 250 calories in the candy bar. What percent of the calories are from sugar? (1 point)
66
For questions 8 and 9, write the fraction as a percent. If necessary, round to the nearest tenth of a percent.
8. 9/15 (1 point) 0.6
9. Write the fraction as a percent. If necessary, round to the nearest tenth of a percent.
4 one fifth (1 point) 0.042
10. Write the percent as a decimal and as a fraction.
215% (1 point) 21.5; 211/2
11. The science club sold 25 T-shirts last week and 18 T-shirts this week. What is the percentage of decrease in the number of T-shirts sold? (1 point)
0.28
12. On a factory floor, 20 of every 170 toy robots are defective. What percent of the toy robots are defective? Round your answer to the nearest hundredth. (1 point)
0.1176
13. A new law requires that 12% of an individual’s income be invested in the stock market. Your accounts show that you need to put $420 in the stock market this year. How much did you earn this year? (1 point)
5040
14. 20% of what number is 47? (1 point) 235
15. Estimate a 15% tip for a meal that cost $26.80. (1 point)
4.05
16. You and some friends rent a limousine for a formal reception. The bill for the evening is $53.00. A tax of 6% will be added to your total, and you want to tip the chauffeur for his excellent driving. You decide to leave him a tip that is 20% of the bill before tax is added. How much will be paid in total? (1 point)
66.78
17. Find the percent of markup. Round to the nearest tenth.
$37.00 to $49.00 (1 point) 0.245 </span>
Answer: A. T2
Step-by-step explanation:
When we first toss a coin then roll a die, then the sample space of the event must contain element that has :
First component of coin : T or H
Second component of dice : 1 , 2 , 3, 4, 5, 6,
The element of the sample space for first tossing a coin then rolling a die will look like: T1, T2, H1, H2, ...... so on.
From all the given options the element of the sample space for first tossing a coin then rolling a die = T2
Answer:
47 ft
Step-by-step explanation:
3.14 x 15