Find the area of the shaded region to the nearest ten!! PLEASE HELP

Mathematics

1 answer:

expeople1 [14]2 years ago

4 0

Answer:

The answer is option B

Step-by-step explanation:

½(27+12)14 - 7²pi

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( Will hand out brainiest) A California condor left its cliff-side nest and soared downwards at a rate of 16 meters per second.

svet-max [94.6K]

First calculate the distance covered going down:

d_down = (16 m / s) * 8 s = 128 m

Then the distance going up is:

d_up = 71 m

So the distance from the ledge to the nest is:

d = 128 m – 71 m = 57 m

Therefore the elevation is:

<span>elevation = 1364 m + 57 m = 1421 m</span>

4 0

2 years ago

The mean rent of a 3-bedroom apartment in Orlando is $1300. You randomly select 10 apartments around town. The rents are normall

lana [24]

Answer:

96.49% probability that the mean rent is more than $1100

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