The hexagon can be divided into six congruent and how many triangles?

What is the circumference of a circle that has a radius of 17 cm

Effectus [21]

Answer:

106.8

Step-by-step explanation:

17 * 2 = 34

34 * pi = 106.8

6 0

4 years ago

A hot air balloon is flying at and altitude of 2101 feet. If the angle of depression from the pilot in the balloon to a house on

alekssr [168]

The problem is modelled as right angle triangle, shown in the diagram below

The distance between the pilot and the house is labelled as $x$

Using the trigonometry ratio of sine
$sin(31)= \frac{opposite}{hypotenuse}$
$sin(31)= \frac{2010}{x}$
$x= \frac{2101}{sin(31)} = 4079.3 ft$

3 0

3 years ago

According to the Knot, 22% of couples meet online. Assume the sampling distribution of p follows a normal distribution and answe

Ann [662]

Using the <em>normal distribution and the central limit theorem</em>, we have that:

a) The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.

b) There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.

c) There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.

<h3>Normal Probability Distribution</h3>

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

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

It 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, which is the percentile of X.

By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$ , as long as $np \geq 10$ and $n(1 - p) \geq 10$ .