How to find the area of a dquare

Please help. I've been trying to figure this out for an hour and I still don't understand how it's 72. I feel really stupid beca

rosijanka [135]

Answer:

C. $72\pi$

Step-by-step explanation:

The radius of the circle is 24 units, then the area of the whole circle is

$\pi r^2=\pi \cdot 24^2=576\pi \ un^2.$

The shaded circle is limited by 45° angle, so its area is

$\dfrac{45}{360}=\dfrac{1}{8}$

of the area of the whole circle.

The area of the shaded circle is

$\dfrac{1}{8}\cdot 576\pi =72\pi \ un^2.$

3 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!

djyliett [7]

The answer would be F. Multiply 64,000 by 0.07 (that decimal representing 7%) to get 4,480

5 0

3 years ago

Read 2 more answers

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard.

Sliva [168]

Answer:

Y=2.50x+3

Step-by-step explanation:

Because the $3 fee is not changing but the 2.50 is changing every pound that they get.

7 0

3 years ago

Read 2 more answers

The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probabili

Lena [83]

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

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 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.

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 $s = \frac{\sigma}{\sqrt{n}}$ .