What is the length of the arc when the degree measure is 60° and the radius is 7?

I really need help ASAP!

Semmy [17]

Answer:

Because they are parallel:

Angles 1,3,5 and 7=125

180-125=55

Angles 2,4, 6 and 8=55

Hope this helps!

3 0

3 years ago

Two concentric circles are centered at point p. the sides of a 45 degree angle at p form an arc on the smaller circle that is th

Aleonysh [2.5K]

<span>Together with triangles, circles comprise most of the GMAT Geometry problems.

A circle is the set of all points on a plane at the same distance from a single point ("the center").

The boundary line of a circle is called the circumference.</span>

5 0

3 years ago

The mean amount purchased by a typical customer at Churchill's Grocery Store is $26.00 with a standard deviation of $6.00. Assum

Vadim26 [7]

Answer:

a) 0.0951

b) 0.8098

c) Between $24.75 and $27.25.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .