I'm pretty sure you're supposed to use Pythagorean Theorem, so here goes:
a^2+b^2=c^2
=8^2+b^2=10^2
=64+b^2=100
=b^2=100-64
=b^2=36
=b=6
So, AD=6
Then, 6*2=12
AC=12cm

5 0

3 years ago

3/5y + 2/9 = 5/8 - 2/5y + 5/8

Vitek1552 [10]

Answer:

y = 37/36

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Almost all medical schools require applicants to take the Medical College Admission Test (MCAT). To estimate the mean score of t

jenyasd209 [6]

Answer:

97.92% probability that the mean score of your sample is between 22 and 28

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples can be 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$