WHOEVER GETS RIGHT AND SENDS FIRST WILL GET: 5 STARS AND THANKS 2.04 > b–13.96

Mathematics

2 answers:

GuDViN [60]4 years ago

4 0

B < 16

hope this helps you :)

timofeeve [1]4 years ago

3 0

The answer should be 16 you add 23.96 to both sides

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victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535$

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

$E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87$

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

$p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31$

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

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4 years ago

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. of the circle has a radius

Jet001 [13]

To solve this problem you must apply the proccedure shown below:

1. You must apply the formula for calculate the arc length, which is:

arc length=(angle)(radius)

2- As you can see, the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:

The angle is:

1 1/2 radians=1.5 radians

3. When you susbtitute these values into the formula, you obtain:

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4. Therefore, the answer is: 7.5 yards.

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3 years ago

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andreyandreev [35.5K]

Answer:

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3 years ago

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Maksim231197 [3]

Answer: