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4 years ago

If the diameter of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60° ?

2 answers:

7 0

Arc length s is given by s = r*theta, where theta is the central angle in radians (not degrees).

Here the diam. is 5 cm, so the radius is 5/2 cm. 60 deg = sqrt(3) / 2. Thus,

the arc length is s = (5/2 cm)*sqrt(3) / 2. This simplifies to (5/4) sqrt(3).

Darina [25.2K]4 years ago

5 0

I think the answer will be 12 because 12 times 5 is 60°

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A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann

emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A confidence interval has two bounds, the lower and the upper

Lower bound:

$\pi - M$

Upper bound:

$\pi + M$

In this problem, we have that:

$\pi = 0.26, M = 0.05$

Lower bound:

$\pi - M = 0.26 - 0.05 = 0.21$

Upper bound:

$\pi + M = 0.26 + 0.05 = 0.31$

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

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3 years ago

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schepotkina [342]

Answer:

-11

Step-by-step explanation:

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3 years ago

Line segment BA is tangent to the circle. A circle is shown. Secant D B and tangent B A intersect at point B outside of the circ

Mama L [17]

Answer: 88 units

Step-by-step explanation:

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3 years ago

Read 2 more answers

Mark and Robyn used base- ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense? Whose model is nonsens

Dima020 [189]

Answer:

Robyn model makes more sense and Marks is nonsense.

Step-by-step explanation:

In this question ,calculations not required .All we have to do is consider each model logically .

Marks

Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.

Robyn

Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200

8 0

3 years ago

1a. [1 mark] The price per kilogram of tomatoes, in euros, sold in various markets in a city is found to be normally distributed

andrey2020 [161]

Answer:

The price that is two standard deviations above the mean price is 4.90.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.22 and a standard deviation of 0.84.

This means that $\mu = 3.22, \sigma = 0.84$