Simplificar la radicacion 18

Mathematics

1 answer:

bonufazy [111]2 years ago

8 0

Answer:

441

Step-by-step explanation:

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When a survey asked subjects whether they would be willing to accept cuts in their standard of living to protect the environmen

Nataly_w [17]

Answer:

$a.\ \hat p=0.2877\\\\b.\ ME=0.0263\\\\c.\ 0.2614$

d. -Sample selection was random

-Individual observations are independent of each other

np≥10

Step-by-step explanation:

a. The point estimate of a sample proportion is obtained using the formula;

$\hat p=\frac{x}{n}\\\\x-sample \ size\\n-population\ size\\\hat p-point \ estimate\\\\\\\\\therefore \hat p=\frac{328}{1140}\\\\\\=0.2877$

Hence, the point estimate of the proportion of the population is 0.2877

b. The desired margin of error is the calculated using the point estimate value as follows:

$ME=z\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\z_{0.025}=1.96\\\\\hat p=0.2877\\\\\therefore ME=1.96\times \sqrt{\frac{0.2877(1-0.2877)}{1140}} \\\\=0.0263$

Hence, the desired margin of error for the sample proportion is 0.0263

c. Given a confidence level of 95%, the confidence interval can be calculated as:

$CI_{95\%}=\hat p\pm ME\\\\=0.2877\pm 0.0263\\\\=[0.2614,0.3140]$

Hence, the confidence interval at 95% confidence level is 0.2614<p<0.3140

#We are 95% confident that the interval estimate contains the desired proportion.

d. The assumptions are:

-The sample size is is more than 10 or equal to 10:

$n\hat p\geq 10\\n\hat p=0.2877\times 328=94.37\geq 10\\\\\therefore np\geq 10$

-The selection was from a randomized experiment.

-The individual observations were independent of each other.

8 0

3 years ago

For a triangle with an area of 96 square cm and a height of 8 cm, calculate the base

mrs_skeptik [129]

Answer:

the answer is 12

Step-by-step explanation:

Remember, double the area and then divide by the known side length. To calculate the area of a triangle, we multiply the base times the height and divide by 2. If you are given the area, follow the steps backwards

4 0

3 years ago

Read 2 more answers

Pls help! No bots pls

borishaifa [10]

Question:

What are the solutions to 8x² − 25x = −24

Answer:

D.) x = $\frac{(25+\sqrt{143}) }{16}$ and $\frac{(25-\sqrt{143}) }{16}$